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Postgres FD Implementation
Commit 4db0d2d2 authored by Tom Lane's avatar Tom Lane
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Improve regression tests for degree-based trigonometric functions. 

Print the actual value of each function result that's expected to be exact,
rather than merely emitting a NULL if it's not right.  Although we print
these with extra_float_digits = 3, we should not trust that the platform
will produce a result visibly different from the expected value if it's off
only in the last place; hence, also include comparisons against the exact
values as before.  This is a bit bulkier and uglier than the previous
printout, but it will provide more information and be easier to interpret
if there's a test failure.

Discussion: <18241.1461073100@sss.pgh.pa.us>
parent a0382e2d
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Showing with 399 additions and 269 deletions
src/test/regress/expected/float8-exp-three-digits-win32.out
View file @ 4db0d2d2
......@@ -445,79 +445,106 @@ SELECT '' AS five, * FROM FLOAT8_TBL;
(5 rows)
-- test exact cases for trigonometric functions in degrees
SET extra_float_digits = 3;
SELECT x,
CASE WHEN sind(x) IN (-1,-0.5,0,0.5,1) THEN sind(x) END AS sind,
CASE WHEN cosd(x) IN (-1,-0.5,0,0.5,1) THEN cosd(x) END AS cosd,
CASE WHEN tand(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN tand(x) END AS tand,
CASE WHEN cotd(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN cotd(x) END AS cotd
FROM generate_series(0, 360, 15) AS t(x);
x | sind | cosd | tand | cotd
-----+------+------+-----------+-----------
0 | 0 | 1 | 0 | Infinity
15 | | | |
30 | 0.5 | | |
45 | | | 1 | 1
60 | | 0.5 | |
75 | | | |
90 | 1 | 0 | Infinity | 0
105 | | | |
120 | | -0.5 | |
135 | | | -1 | -1
150 | 0.5 | | |
165 | | | |
180 | 0 | -1 | 0 | -Infinity
195 | | | |
210 | -0.5 | | |
225 | | | 1 | 1
240 | | -0.5 | |
255 | | | |
270 | -1 | 0 | -Infinity | 0
285 | | | |
300 | | 0.5 | |
315 | | | -1 | -1
330 | -0.5 | | |
345 | | | |
360 | 0 | 1 | 0 | Infinity
(25 rows)
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,
CASE WHEN asind(x) IN (-90,-30,0,30,90) THEN asind(x) END AS asind,
CASE WHEN acosd(x) IN (0,60,90,120,180) THEN acosd(x) END AS acosd,
CASE WHEN atand(x) IN (-45,0,45) THEN atand(x) END AS atand
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 | acosd | atand
------+-------+-------+-------
-1 | -90 | 180 | -45
-0.5 | -30 | 120 |
0 | 0 | 90 | 0
0.5 | 30 | 60 |
1 | 90 | 0 | 45
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 atand('-Infinity'::float8) = -90;
?column?
----------
t
(1 row)
SELECT atand('Infinity'::float8) = 90;
?column?
----------
t
(1 row)
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,
CASE WHEN atan2d(y, x) IN (-90,0,90,180) THEN atan2d(y, x) END AS atan2d
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
-----+-----+--------
10 | 0 | 0
0 | 10 | 90
-10 | 0 | 180
0 | -10 | -90
10 | 0 | 0
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)
RESET extra_float_digits;
src/test/regress/expected/float8-small-is-zero.out
View file @ 4db0d2d2
......@@ -443,79 +443,106 @@ SELECT '' AS five, * FROM FLOAT8_TBL;
(5 rows)
-- test exact cases for trigonometric functions in degrees
SET extra_float_digits = 3;
SELECT x,
CASE WHEN sind(x) IN (-1,-0.5,0,0.5,1) THEN sind(x) END AS sind,
CASE WHEN cosd(x) IN (-1,-0.5,0,0.5,1) THEN cosd(x) END AS cosd,
CASE WHEN tand(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN tand(x) END AS tand,
CASE WHEN cotd(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN cotd(x) END AS cotd
FROM generate_series(0, 360, 15) AS t(x);
x | sind | cosd | tand | cotd
-----+------+------+-----------+-----------
0 | 0 | 1 | 0 | Infinity
15 | | | |
30 | 0.5 | | |
45 | | | 1 | 1
60 | | 0.5 | |
75 | | | |
90 | 1 | 0 | Infinity | 0
105 | | | |
120 | | -0.5 | |
135 | | | -1 | -1
150 | 0.5 | | |
165 | | | |
180 | 0 | -1 | 0 | -Infinity
195 | | | |
210 | -0.5 | | |
225 | | | 1 | 1
240 | | -0.5 | |
255 | | | |
270 | -1 | 0 | -Infinity | 0
285 | | | |
300 | | 0.5 | |
315 | | | -1 | -1
330 | -0.5 | | |
345 | | | |
360 | 0 | 1 | 0 | Infinity
(25 rows)
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,
CASE WHEN asind(x) IN (-90,-30,0,30,90) THEN asind(x) END AS asind,
CASE WHEN acosd(x) IN (0,60,90,120,180) THEN acosd(x) END AS acosd,
CASE WHEN atand(x) IN (-45,0,45) THEN atand(x) END AS atand
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 | acosd | atand
------+-------+-------+-------
-1 | -90 | 180 | -45
-0.5 | -30 | 120 |
0 | 0 | 90 | 0
0.5 | 30 | 60 |
1 | 90 | 0 | 45
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 atand('-Infinity'::float8) = -90;
?column?
----------
t
(1 row)
SELECT atand('Infinity'::float8) = 90;
?column?
----------
t
(1 row)
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,
CASE WHEN atan2d(y, x) IN (-90,0,90,180) THEN atan2d(y, x) END AS atan2d
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
-----+-----+--------
10 | 0 | 0
0 | 10 | 90
-10 | 0 | 180
0 | -10 | -90
10 | 0 | 0
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)
RESET extra_float_digits;
src/test/regress/expected/float8-small-is-zero_1.out
View file @ 4db0d2d2
......@@ -443,79 +443,106 @@ SELECT '' AS five, * FROM FLOAT8_TBL;
(5 rows)
-- test exact cases for trigonometric functions in degrees
SET extra_float_digits = 3;
SELECT x,
CASE WHEN sind(x) IN (-1,-0.5,0,0.5,1) THEN sind(x) END AS sind,
CASE WHEN cosd(x) IN (-1,-0.5,0,0.5,1) THEN cosd(x) END AS cosd,
CASE WHEN tand(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN tand(x) END AS tand,
CASE WHEN cotd(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN cotd(x) END AS cotd
FROM generate_series(0, 360, 15) AS t(x);
x | sind | cosd | tand | cotd
-----+------+------+-----------+-----------
0 | 0 | 1 | 0 | Infinity
15 | | | |
30 | 0.5 | | |
45 | | | 1 | 1
60 | | 0.5 | |
75 | | | |
90 | 1 | 0 | Infinity | 0
105 | | | |
120 | | -0.5 | |
135 | | | -1 | -1
150 | 0.5 | | |
165 | | | |
180 | 0 | -1 | 0 | -Infinity
195 | | | |
210 | -0.5 | | |
225 | | | 1 | 1
240 | | -0.5 | |
255 | | | |
270 | -1 | 0 | -Infinity | 0
285 | | | |
300 | | 0.5 | |
315 | | | -1 | -1
330 | -0.5 | | |
345 | | | |
360 | 0 | 1 | 0 | Infinity
(25 rows)
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,
CASE WHEN asind(x) IN (-90,-30,0,30,90) THEN asind(x) END AS asind,
CASE WHEN acosd(x) IN (0,60,90,120,180) THEN acosd(x) END AS acosd,
CASE WHEN atand(x) IN (-45,0,45) THEN atand(x) END AS atand
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 | acosd | atand
------+-------+-------+-------
-1 | -90 | 180 | -45
-0.5 | -30 | 120 |
0 | 0 | 90 | 0
0.5 | 30 | 60 |
1 | 90 | 0 | 45
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 atand('-Infinity'::float8) = -90;
?column?
----------
t
(1 row)
SELECT atand('Infinity'::float8) = 90;
?column?
----------
t
(1 row)
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,
CASE WHEN atan2d(y, x) IN (-90,0,90,180) THEN atan2d(y, x) END AS atan2d
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
-----+-----+--------
10 | 0 | 0
0 | 10 | 90
-10 | 0 | 180
0 | -10 | -90
10 | 0 | 0
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)
RESET extra_float_digits;
src/test/regress/expected/float8.out
View file @ 4db0d2d2
......@@ -445,79 +445,106 @@ SELECT '' AS five, * FROM FLOAT8_TBL;
(5 rows)
-- test exact cases for trigonometric functions in degrees
SET extra_float_digits = 3;
SELECT x,
CASE WHEN sind(x) IN (-1,-0.5,0,0.5,1) THEN sind(x) END AS sind,
CASE WHEN cosd(x) IN (-1,-0.5,0,0.5,1) THEN cosd(x) END AS cosd,
CASE WHEN tand(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN tand(x) END AS tand,
CASE WHEN cotd(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN cotd(x) END AS cotd
FROM generate_series(0, 360, 15) AS t(x);
x | sind | cosd | tand | cotd
-----+------+------+-----------+-----------
0 | 0 | 1 | 0 | Infinity
15 | | | |
30 | 0.5 | | |
45 | | | 1 | 1
60 | | 0.5 | |
75 | | | |
90 | 1 | 0 | Infinity | 0
105 | | | |
120 | | -0.5 | |
135 | | | -1 | -1
150 | 0.5 | | |
165 | | | |
180 | 0 | -1 | 0 | -Infinity
195 | | | |
210 | -0.5 | | |
225 | | | 1 | 1
240 | | -0.5 | |
255 | | | |
270 | -1 | 0 | -Infinity | 0
285 | | | |
300 | | 0.5 | |
315 | | | -1 | -1
330 | -0.5 | | |
345 | | | |
360 | 0 | 1 | 0 | Infinity
(25 rows)
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,
CASE WHEN asind(x) IN (-90,-30,0,30,90) THEN asind(x) END AS asind,
CASE WHEN acosd(x) IN (0,60,90,120,180) THEN acosd(x) END AS acosd,
CASE WHEN atand(x) IN (-45,0,45) THEN atand(x) END AS atand
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 | acosd | atand
------+-------+-------+-------
-1 | -90 | 180 | -45
-0.5 | -30 | 120 |
0 | 0 | 90 | 0
0.5 | 30 | 60 |
1 | 90 | 0 | 45
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 atand('-Infinity'::float8) = -90;
?column?
----------
t
(1 row)
SELECT atand('Infinity'::float8) = 90;
?column?
----------
t
(1 row)
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,
CASE WHEN atan2d(y, x) IN (-90,0,90,180) THEN atan2d(y, x) END AS atan2d
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
-----+-----+--------
10 | 0 | 0
0 | 10 | 90
-10 | 0 | 180
0 | -10 | -90
10 | 0 | 0
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)
RESET extra_float_digits;
src/test/regress/sql/float8.sql
View file @ 4db0d2d2
......@@ -169,25 +169,47 @@ INSERT INTO FLOAT8_TBL(f1) VALUES ('-1.2345678901234e-200');
SELECT '' AS five, * FROM FLOAT8_TBL;
-- test exact cases for trigonometric functions in degrees
SET extra_float_digits = 3;
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);
SELECT x,
CASE WHEN sind(x) IN (-1,-0.5,0,0.5,1) THEN sind(x) END AS sind,
CASE WHEN cosd(x) IN (-1,-0.5,0,0.5,1) THEN cosd(x) END AS cosd,
CASE WHEN tand(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN tand(x) END AS tand,
CASE WHEN cotd(x) IN ('-Infinity'::float8,-1,0,
1,'Infinity'::float8) THEN cotd(x) END AS cotd
FROM generate_series(0, 360, 15) AS t(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);
SELECT x,
CASE WHEN asind(x) IN (-90,-30,0,30,90) THEN asind(x) END AS asind,
CASE WHEN acosd(x) IN (0,60,90,120,180) THEN acosd(x) END AS acosd,
CASE WHEN atand(x) IN (-45,0,45) THEN atand(x) END AS atand
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);
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);
SELECT atand('-Infinity'::float8) = -90;
SELECT atand('Infinity'::float8) = 90;
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);
SELECT x, y,
CASE WHEN atan2d(y, x) IN (-90,0,90,180) THEN atan2d(y, x) END AS atan2d
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);
RESET extra_float_digits;
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