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02ddd49932
Previously, floating-point output was done by rounding to a specific decimal precision; by default, to 6 or 15 decimal digits (losing information) or as requested using extra_float_digits. Drivers that wanted exact float values, and applications like pg_dump that must preserve values exactly, set extra_float_digits=3 (or sometimes 2 for historical reasons, though this isn't enough for float4). Unfortunately, decimal rounded output is slow enough to become a noticable bottleneck when dealing with large result sets or COPY of large tables when many floating-point values are involved. Floating-point output can be done much faster when the output is not rounded to a specific decimal length, but rather is chosen as the shortest decimal representation that is closer to the original float value than to any other value representable in the same precision. The recently published Ryu algorithm by Ulf Adams is both relatively simple and remarkably fast. Accordingly, change float4out/float8out to output shortest decimal representations if extra_float_digits is greater than 0, and make that the new default. Applications that need rounded output can set extra_float_digits back to 0 or below, and take the resulting performance hit. We make one concession to portability for systems with buggy floating-point input: we do not output decimal values that fall exactly halfway between adjacent representable binary values (which would rely on the reader doing round-to-nearest-even correctly). This is known to be a problem at least for VS2013 on Windows. Our version of the Ryu code originates from https://github.com/ulfjack/ryu/ at commit c9c3fb1979, but with the following (significant) modifications: - Output format is changed to use fixed-point notation for small exponents, as printf would, and also to use lowercase 'e', a minimum of 2 exponent digits, and a mandatory sign on the exponent, to keep the formatting as close as possible to previous output. - The output of exact midpoint values is disabled as noted above. - The integer fast-path code is changed somewhat (since we have fixed-point output and the upstream did not). - Our project style has been largely applied to the code with the exception of C99 declaration-after-statement, which has been retained as an exception to our present policy. - Most of upstream's debugging and conditionals are removed, and we use our own configure tests to determine things like uint128 availability. Changing the float output format obviously affects a number of regression tests. This patch uses an explicit setting of extra_float_digits=0 for test output that is not expected to be exactly reproducible (e.g. due to numerical instability or differing algorithms for transcendental functions). Conversions from floats to numeric are unchanged by this patch. These may appear in index expressions and it is not yet clear whether any change should be made, so that can be left for another day. This patch assumes that the only supported floating point format is now IEEE format, and the documentation is updated to reflect that. Code by me, adapting the work of Ulf Adams and other contributors. References: https://dl.acm.org/citation.cfm?id=3192369 Reviewed-by: Tom Lane, Andres Freund, Donald Dong Discussion: https://postgr.es/m/87r2el1bx6.fsf@news-spur.riddles.org.uk
1951 lines
47 KiB
Plaintext
1951 lines
47 KiB
Plaintext
--
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-- Test cube datatype
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--
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CREATE EXTENSION cube;
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-- Check whether any of our opclasses fail amvalidate
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SELECT amname, opcname
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FROM pg_opclass opc LEFT JOIN pg_am am ON am.oid = opcmethod
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WHERE opc.oid >= 16384 AND NOT amvalidate(opc.oid);
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amname | opcname
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--------+---------
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(0 rows)
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--
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-- testing the input and output functions
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--
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-- Any number (a one-dimensional point)
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SELECT '1'::cube AS cube;
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cube
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------
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(1)
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(1 row)
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SELECT '-1'::cube AS cube;
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cube
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------
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(-1)
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(1 row)
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SELECT '1.'::cube AS cube;
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cube
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------
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(1)
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(1 row)
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SELECT '-1.'::cube AS cube;
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cube
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------
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(-1)
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(1 row)
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SELECT '.1'::cube AS cube;
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cube
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-------
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(0.1)
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(1 row)
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SELECT '-.1'::cube AS cube;
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cube
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--------
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(-0.1)
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(1 row)
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SELECT '1.0'::cube AS cube;
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cube
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------
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(1)
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(1 row)
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SELECT '-1.0'::cube AS cube;
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cube
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------
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(-1)
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(1 row)
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SELECT 'infinity'::cube AS cube;
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cube
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------------
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(Infinity)
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(1 row)
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SELECT '-infinity'::cube AS cube;
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cube
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-------------
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(-Infinity)
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(1 row)
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SELECT 'NaN'::cube AS cube;
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cube
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-------
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(NaN)
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(1 row)
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SELECT '.1234567890123456'::cube AS cube;
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cube
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----------------------
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(0.1234567890123456)
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(1 row)
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SELECT '+.1234567890123456'::cube AS cube;
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cube
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----------------------
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(0.1234567890123456)
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(1 row)
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SELECT '-.1234567890123456'::cube AS cube;
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cube
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-----------------------
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(-0.1234567890123456)
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(1 row)
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-- simple lists (points)
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SELECT '()'::cube AS cube;
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cube
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------
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()
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(1 row)
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SELECT '1,2'::cube AS cube;
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cube
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--------
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(1, 2)
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(1 row)
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SELECT '(1,2)'::cube AS cube;
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cube
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--------
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(1, 2)
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(1 row)
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SELECT '1,2,3,4,5'::cube AS cube;
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cube
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-----------------
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(1, 2, 3, 4, 5)
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(1 row)
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SELECT '(1,2,3,4,5)'::cube AS cube;
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cube
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-----------------
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(1, 2, 3, 4, 5)
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(1 row)
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-- double lists (cubes)
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SELECT '(),()'::cube AS cube;
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cube
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------
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()
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(1 row)
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SELECT '(0),(0)'::cube AS cube;
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cube
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------
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(0)
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(1 row)
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SELECT '(0),(1)'::cube AS cube;
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cube
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---------
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(0),(1)
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(1 row)
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SELECT '[(0),(0)]'::cube AS cube;
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cube
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------
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(0)
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(1 row)
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SELECT '[(0),(1)]'::cube AS cube;
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cube
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---------
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(0),(1)
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(1 row)
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SELECT '(0,0,0,0),(0,0,0,0)'::cube AS cube;
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cube
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--------------
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(0, 0, 0, 0)
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(1 row)
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SELECT '(0,0,0,0),(1,0,0,0)'::cube AS cube;
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cube
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---------------------------
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(0, 0, 0, 0),(1, 0, 0, 0)
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(1 row)
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SELECT '[(0,0,0,0),(0,0,0,0)]'::cube AS cube;
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cube
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--------------
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(0, 0, 0, 0)
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(1 row)
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SELECT '[(0,0,0,0),(1,0,0,0)]'::cube AS cube;
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cube
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---------------------------
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(0, 0, 0, 0),(1, 0, 0, 0)
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(1 row)
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-- invalid input: parse errors
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SELECT ''::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT ''::cube AS cube;
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^
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DETAIL: syntax error at end of input
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SELECT 'ABC'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT 'ABC'::cube AS cube;
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^
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DETAIL: syntax error at or near "A"
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SELECT '[]'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '[]'::cube AS cube;
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^
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DETAIL: syntax error at or near "]"
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SELECT '[()]'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '[()]'::cube AS cube;
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^
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DETAIL: syntax error at or near "]"
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SELECT '[(1)]'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '[(1)]'::cube AS cube;
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^
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DETAIL: syntax error at or near "]"
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SELECT '[(1),]'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '[(1),]'::cube AS cube;
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^
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DETAIL: syntax error at or near "]"
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SELECT '[(1),2]'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '[(1),2]'::cube AS cube;
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^
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DETAIL: syntax error at or near "2"
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SELECT '[(1),(2),(3)]'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '[(1),(2),(3)]'::cube AS cube;
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^
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DETAIL: syntax error at or near ","
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SELECT '1,'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '1,'::cube AS cube;
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^
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DETAIL: syntax error at end of input
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SELECT '1,2,'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '1,2,'::cube AS cube;
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^
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DETAIL: syntax error at end of input
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SELECT '1,,2'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '1,,2'::cube AS cube;
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^
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DETAIL: syntax error at or near ","
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SELECT '(1,)'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '(1,)'::cube AS cube;
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^
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DETAIL: syntax error at or near ")"
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SELECT '(1,2,)'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '(1,2,)'::cube AS cube;
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^
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DETAIL: syntax error at or near ")"
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SELECT '(1,,2)'::cube AS cube;
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '(1,,2)'::cube AS cube;
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^
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DETAIL: syntax error at or near ","
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-- invalid input: semantic errors and trailing garbage
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SELECT '[(1),(2)],'::cube AS cube; -- 0
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '[(1),(2)],'::cube AS cube;
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^
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DETAIL: syntax error at or near ","
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SELECT '[(1,2,3),(2,3)]'::cube AS cube; -- 1
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '[(1,2,3),(2,3)]'::cube AS cube;
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^
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DETAIL: Different point dimensions in (1,2,3) and (2,3).
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SELECT '[(1,2),(1,2,3)]'::cube AS cube; -- 1
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '[(1,2),(1,2,3)]'::cube AS cube;
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^
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DETAIL: Different point dimensions in (1,2) and (1,2,3).
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SELECT '(1),(2),'::cube AS cube; -- 2
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '(1),(2),'::cube AS cube;
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^
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DETAIL: syntax error at or near ","
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SELECT '(1,2,3),(2,3)'::cube AS cube; -- 3
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '(1,2,3),(2,3)'::cube AS cube;
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^
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DETAIL: Different point dimensions in (1,2,3) and (2,3).
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SELECT '(1,2),(1,2,3)'::cube AS cube; -- 3
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '(1,2),(1,2,3)'::cube AS cube;
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^
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DETAIL: Different point dimensions in (1,2) and (1,2,3).
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SELECT '(1,2,3)ab'::cube AS cube; -- 4
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '(1,2,3)ab'::cube AS cube;
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^
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DETAIL: syntax error at or near "a"
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SELECT '(1,2,3)a'::cube AS cube; -- 5
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '(1,2,3)a'::cube AS cube;
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^
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DETAIL: syntax error at or near "a"
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SELECT '(1,2)('::cube AS cube; -- 5
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '(1,2)('::cube AS cube;
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^
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DETAIL: syntax error at or near "("
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SELECT '1,2ab'::cube AS cube; -- 6
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '1,2ab'::cube AS cube;
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^
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DETAIL: syntax error at or near "a"
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SELECT '1 e7'::cube AS cube; -- 6
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '1 e7'::cube AS cube;
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^
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DETAIL: syntax error at or near "e"
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SELECT '1,2a'::cube AS cube; -- 7
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '1,2a'::cube AS cube;
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^
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DETAIL: syntax error at or near "a"
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SELECT '1..2'::cube AS cube; -- 7
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ERROR: invalid input syntax for cube
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LINE 1: SELECT '1..2'::cube AS cube;
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^
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DETAIL: syntax error at or near ".2"
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SELECT '-1e-700'::cube AS cube; -- out of range
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ERROR: "-1e-700" is out of range for type double precision
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LINE 1: SELECT '-1e-700'::cube AS cube;
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^
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--
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-- Testing building cubes from float8 values
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--
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SELECT cube(0::float8);
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cube
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------
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(0)
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(1 row)
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SELECT cube(1::float8);
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cube
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------
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(1)
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(1 row)
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SELECT cube(1,2);
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cube
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---------
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(1),(2)
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(1 row)
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SELECT cube(cube(1,2),3);
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cube
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---------------
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(1, 3),(2, 3)
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(1 row)
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SELECT cube(cube(1,2),3,4);
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cube
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---------------
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(1, 3),(2, 4)
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(1 row)
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SELECT cube(cube(cube(1,2),3,4),5);
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cube
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---------------------
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(1, 3, 5),(2, 4, 5)
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(1 row)
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SELECT cube(cube(cube(1,2),3,4),5,6);
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cube
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---------------------
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(1, 3, 5),(2, 4, 6)
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(1 row)
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--
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-- Test that the text -> cube cast was installed.
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--
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SELECT '(0)'::text::cube;
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cube
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------
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(0)
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(1 row)
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--
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-- Test the float[] -> cube cast
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--
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SELECT cube('{0,1,2}'::float[], '{3,4,5}'::float[]);
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cube
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---------------------
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(0, 1, 2),(3, 4, 5)
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(1 row)
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SELECT cube('{0,1,2}'::float[], '{3}'::float[]);
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ERROR: UR and LL arrays must be of same length
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SELECT cube(NULL::float[], '{3}'::float[]);
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cube
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------
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(1 row)
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SELECT cube('{0,1,2}'::float[]);
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cube
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-----------
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(0, 1, 2)
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(1 row)
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SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[3,2,1,1]);
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cube_subset
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---------------------------
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(5, 3, 1, 1),(8, 7, 6, 6)
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(1 row)
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SELECT cube_subset(cube('(1,3,5),(1,3,5)'), ARRAY[3,2,1,1]);
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cube_subset
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--------------
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(5, 3, 1, 1)
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(1 row)
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SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[4,0]);
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ERROR: Index out of bounds
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SELECT cube_subset(cube('(6,7,8),(6,7,8)'), ARRAY[4,0]);
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ERROR: Index out of bounds
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-- test for limits: this should pass
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SELECT cube_subset(cube('(6,7,8),(6,7,8)'), array(SELECT 1 as a FROM generate_series(1,100)));
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cube_subset
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--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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(6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6)
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(1 row)
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-- and this should fail
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SELECT cube_subset(cube('(6,7,8),(6,7,8)'), array(SELECT 1 as a FROM generate_series(1,101)));
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ERROR: array is too long
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DETAIL: A cube cannot have more than 100 dimensions.
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--
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-- Test point processing
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--
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SELECT cube('(1,2),(1,2)'); -- cube_in
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cube
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--------
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(1, 2)
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(1 row)
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SELECT cube('{0,1,2}'::float[], '{0,1,2}'::float[]); -- cube_a_f8_f8
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cube
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-----------
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(0, 1, 2)
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(1 row)
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SELECT cube('{5,6,7,8}'::float[]); -- cube_a_f8
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cube
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--------------
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(5, 6, 7, 8)
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(1 row)
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SELECT cube(1.37); -- cube_f8
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cube
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--------
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(1.37)
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(1 row)
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SELECT cube(1.37, 1.37); -- cube_f8_f8
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cube
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--------
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(1.37)
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(1 row)
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SELECT cube(cube(1,1), 42); -- cube_c_f8
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cube
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---------
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(1, 42)
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(1 row)
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SELECT cube(cube(1,2), 42); -- cube_c_f8
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cube
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-----------------
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(1, 42),(2, 42)
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(1 row)
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SELECT cube(cube(1,1), 42, 42); -- cube_c_f8_f8
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cube
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---------
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(1, 42)
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(1 row)
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SELECT cube(cube(1,1), 42, 24); -- cube_c_f8_f8
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cube
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-----------------
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(1, 42),(1, 24)
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(1 row)
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SELECT cube(cube(1,2), 42, 42); -- cube_c_f8_f8
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cube
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-----------------
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(1, 42),(2, 42)
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(1 row)
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|
|
SELECT cube(cube(1,2), 42, 24); -- cube_c_f8_f8
|
|
cube
|
|
-----------------
|
|
(1, 42),(2, 24)
|
|
(1 row)
|
|
|
|
--
|
|
-- Testing limit of CUBE_MAX_DIM dimensions check in cube_in.
|
|
--
|
|
-- create too big cube from literal
|
|
select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
|
|
ERROR: invalid input syntax for cube
|
|
LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
|
|
^
|
|
DETAIL: A cube cannot have more than 100 dimensions.
|
|
select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0),(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
|
|
ERROR: invalid input syntax for cube
|
|
LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
|
|
^
|
|
DETAIL: A cube cannot have more than 100 dimensions.
|
|
-- from an array
|
|
select cube(array(SELECT 0 as a FROM generate_series(1,101)));
|
|
ERROR: array is too long
|
|
DETAIL: A cube cannot have more than 100 dimensions.
|
|
select cube(array(SELECT 0 as a FROM generate_series(1,101)),array(SELECT 0 as a FROM generate_series(1,101)));
|
|
ERROR: can't extend cube
|
|
DETAIL: A cube cannot have more than 100 dimensions.
|
|
-- extend cube beyond limit
|
|
-- this should work
|
|
select cube(array(SELECT 0 as a FROM generate_series(1,100)));
|
|
cube
|
|
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|
(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
|
|
(1 row)
|
|
|
|
select cube(array(SELECT 0 as a FROM generate_series(1,100)),array(SELECT 0 as a FROM generate_series(1,100)));
|
|
cube
|
|
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|
(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
|
|
(1 row)
|
|
|
|
-- this should fail
|
|
select cube(cube(array(SELECT 0 as a FROM generate_series(1,100))), 0);
|
|
ERROR: can't extend cube
|
|
DETAIL: A cube cannot have more than 100 dimensions.
|
|
select cube(cube(array(SELECT 0 as a FROM generate_series(1,100)),array(SELECT 0 as a FROM generate_series(1,100))), 0, 0);
|
|
ERROR: can't extend cube
|
|
DETAIL: A cube cannot have more than 100 dimensions.
|
|
--
|
|
-- testing the operators
|
|
--
|
|
-- equality/inequality:
|
|
--
|
|
SELECT '24, 33.20'::cube = '24, 33.20'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '24, 33.20'::cube != '24, 33.20'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '24, 33.20'::cube = '24, 33.21'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '24, 33.20'::cube != '24, 33.21'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(2,0),(3,1)'::cube = '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '(2,0),(3,1)'::cube = '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
-- "lower than" / "greater than"
|
|
-- (these operators are not useful for anything but ordering)
|
|
--
|
|
SELECT '1'::cube > '2'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '1'::cube < '2'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '1,1'::cube > '1,2'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '1,1'::cube < '1,2'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube > '(2,0),(3,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube < '(2,0),(3,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
-- "overlap"
|
|
--
|
|
SELECT '1'::cube && '1'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '1'::cube && '2'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '0'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1,1,1'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1,1),(2,2,2)]'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1),(2,2)]'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(2,1,1),(2,2,2)]'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
-- "contained in" (the left operand is the cube entirely enclosed by
|
|
-- the right operand):
|
|
--
|
|
SELECT '0'::cube <@ '0'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '0,0,0'::cube <@ '0,0,0'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '0,0'::cube <@ '0,0,1'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '0,0,0'::cube <@ '0,0,1'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '1,0,0'::cube <@ '0,0,1'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '(1,0,0),(0,0,1)'::cube <@ '(1,0,0),(0,0,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(1,0,0),(0,0,1)'::cube <@ '(-1,-1,-1),(1,1,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(1,0,0),(0,0,1)'::cube <@ '(-1,-1,-1,-1),(1,1,1,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '0'::cube <@ '(-1),(1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '1'::cube <@ '(-1),(1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '-1'::cube <@ '(-1),(1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(-1),(1)'::cube <@ '(-1),(1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(-1),(1)'::cube <@ '(-1,-1),(1,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(-2),(1)'::cube <@ '(-1),(1)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '(-2),(1)'::cube <@ '(-1,-1),(1,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
-- "contains" (the left operand is the cube that entirely encloses the
|
|
-- right operand)
|
|
--
|
|
SELECT '0'::cube @> '0'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '0,0,0'::cube @> '0,0,0'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '0,0,1'::cube @> '0,0'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '0,0,1'::cube @> '0,0,0'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '0,0,1'::cube @> '1,0,0'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '(1,0,0),(0,0,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(-1,-1,-1),(1,1,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(-1,-1,-1,-1),(1,1,1,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(-1),(1)'::cube @> '0'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(-1),(1)'::cube @> '1'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(-1),(1)'::cube @> '-1'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(-1),(1)'::cube @> '(-1),(1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(-1,-1),(1,1)'::cube @> '(-1),(1)'::cube AS bool;
|
|
bool
|
|
------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT '(-1),(1)'::cube @> '(-2),(1)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT '(-1,-1),(1,1)'::cube @> '(-2),(1)'::cube AS bool;
|
|
bool
|
|
------
|
|
f
|
|
(1 row)
|
|
|
|
-- Test of distance function
|
|
--
|
|
SELECT cube_distance('(0)'::cube,'(2,2,2,2)'::cube);
|
|
cube_distance
|
|
---------------
|
|
4
|
|
(1 row)
|
|
|
|
SELECT cube_distance('(0)'::cube,'(.3,.4)'::cube);
|
|
cube_distance
|
|
---------------
|
|
0.5
|
|
(1 row)
|
|
|
|
SELECT cube_distance('(2,3,4)'::cube,'(2,3,4)'::cube);
|
|
cube_distance
|
|
---------------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT cube_distance('(42,42,42,42)'::cube,'(137,137,137,137)'::cube);
|
|
cube_distance
|
|
---------------
|
|
190
|
|
(1 row)
|
|
|
|
SELECT cube_distance('(42,42,42)'::cube,'(137,137)'::cube);
|
|
cube_distance
|
|
--------------------
|
|
140.76221083799445
|
|
(1 row)
|
|
|
|
-- Test of cube function (text to cube)
|
|
--
|
|
SELECT cube('(1,1.2)'::text);
|
|
cube
|
|
----------
|
|
(1, 1.2)
|
|
(1 row)
|
|
|
|
SELECT cube(NULL);
|
|
cube
|
|
------
|
|
|
|
(1 row)
|
|
|
|
-- Test of cube_dim function (dimensions stored in cube)
|
|
--
|
|
SELECT cube_dim('(0)'::cube);
|
|
cube_dim
|
|
----------
|
|
1
|
|
(1 row)
|
|
|
|
SELECT cube_dim('(0,0)'::cube);
|
|
cube_dim
|
|
----------
|
|
2
|
|
(1 row)
|
|
|
|
SELECT cube_dim('(0,0,0)'::cube);
|
|
cube_dim
|
|
----------
|
|
3
|
|
(1 row)
|
|
|
|
SELECT cube_dim('(42,42,42),(42,42,42)'::cube);
|
|
cube_dim
|
|
----------
|
|
3
|
|
(1 row)
|
|
|
|
SELECT cube_dim('(4,8,15,16,23),(4,8,15,16,23)'::cube);
|
|
cube_dim
|
|
----------
|
|
5
|
|
(1 row)
|
|
|
|
-- Test of cube_ll_coord function (retrieves LL coordinate values)
|
|
--
|
|
SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 1);
|
|
cube_ll_coord
|
|
---------------
|
|
-1
|
|
(1 row)
|
|
|
|
SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 2);
|
|
cube_ll_coord
|
|
---------------
|
|
-2
|
|
(1 row)
|
|
|
|
SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 3);
|
|
cube_ll_coord
|
|
---------------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT cube_ll_coord('(1,2),(1,2)'::cube, 1);
|
|
cube_ll_coord
|
|
---------------
|
|
1
|
|
(1 row)
|
|
|
|
SELECT cube_ll_coord('(1,2),(1,2)'::cube, 2);
|
|
cube_ll_coord
|
|
---------------
|
|
2
|
|
(1 row)
|
|
|
|
SELECT cube_ll_coord('(1,2),(1,2)'::cube, 3);
|
|
cube_ll_coord
|
|
---------------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT cube_ll_coord('(42,137)'::cube, 1);
|
|
cube_ll_coord
|
|
---------------
|
|
42
|
|
(1 row)
|
|
|
|
SELECT cube_ll_coord('(42,137)'::cube, 2);
|
|
cube_ll_coord
|
|
---------------
|
|
137
|
|
(1 row)
|
|
|
|
SELECT cube_ll_coord('(42,137)'::cube, 3);
|
|
cube_ll_coord
|
|
---------------
|
|
0
|
|
(1 row)
|
|
|
|
-- Test of cube_ur_coord function (retrieves UR coordinate values)
|
|
--
|
|
SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 1);
|
|
cube_ur_coord
|
|
---------------
|
|
2
|
|
(1 row)
|
|
|
|
SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 2);
|
|
cube_ur_coord
|
|
---------------
|
|
1
|
|
(1 row)
|
|
|
|
SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 3);
|
|
cube_ur_coord
|
|
---------------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT cube_ur_coord('(1,2),(1,2)'::cube, 1);
|
|
cube_ur_coord
|
|
---------------
|
|
1
|
|
(1 row)
|
|
|
|
SELECT cube_ur_coord('(1,2),(1,2)'::cube, 2);
|
|
cube_ur_coord
|
|
---------------
|
|
2
|
|
(1 row)
|
|
|
|
SELECT cube_ur_coord('(1,2),(1,2)'::cube, 3);
|
|
cube_ur_coord
|
|
---------------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT cube_ur_coord('(42,137)'::cube, 1);
|
|
cube_ur_coord
|
|
---------------
|
|
42
|
|
(1 row)
|
|
|
|
SELECT cube_ur_coord('(42,137)'::cube, 2);
|
|
cube_ur_coord
|
|
---------------
|
|
137
|
|
(1 row)
|
|
|
|
SELECT cube_ur_coord('(42,137)'::cube, 3);
|
|
cube_ur_coord
|
|
---------------
|
|
0
|
|
(1 row)
|
|
|
|
-- Test of cube_is_point
|
|
--
|
|
SELECT cube_is_point('(0)'::cube);
|
|
cube_is_point
|
|
---------------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT cube_is_point('(0,1,2)'::cube);
|
|
cube_is_point
|
|
---------------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT cube_is_point('(0,1,2),(0,1,2)'::cube);
|
|
cube_is_point
|
|
---------------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT cube_is_point('(0,1,2),(-1,1,2)'::cube);
|
|
cube_is_point
|
|
---------------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT cube_is_point('(0,1,2),(0,-1,2)'::cube);
|
|
cube_is_point
|
|
---------------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT cube_is_point('(0,1,2),(0,1,-2)'::cube);
|
|
cube_is_point
|
|
---------------
|
|
f
|
|
(1 row)
|
|
|
|
-- Test of cube_enlarge (enlarging and shrinking cubes)
|
|
--
|
|
SELECT cube_enlarge('(0)'::cube, 0, 0);
|
|
cube_enlarge
|
|
--------------
|
|
(0)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(0)'::cube, 0, 1);
|
|
cube_enlarge
|
|
--------------
|
|
(0)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(0)'::cube, 0, 2);
|
|
cube_enlarge
|
|
--------------
|
|
(0)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(2),(-2)'::cube, 0, 4);
|
|
cube_enlarge
|
|
--------------
|
|
(-2),(2)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(0)'::cube, 1, 0);
|
|
cube_enlarge
|
|
--------------
|
|
(-1),(1)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(0)'::cube, 1, 1);
|
|
cube_enlarge
|
|
--------------
|
|
(-1),(1)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(0)'::cube, 1, 2);
|
|
cube_enlarge
|
|
-----------------
|
|
(-1, -1),(1, 1)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(2),(-2)'::cube, 1, 4);
|
|
cube_enlarge
|
|
-------------------------------
|
|
(-3, -1, -1, -1),(3, 1, 1, 1)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(0)'::cube, -1, 0);
|
|
cube_enlarge
|
|
--------------
|
|
(0)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(0)'::cube, -1, 1);
|
|
cube_enlarge
|
|
--------------
|
|
(0)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(0)'::cube, -1, 2);
|
|
cube_enlarge
|
|
--------------
|
|
(0)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(2),(-2)'::cube, -1, 4);
|
|
cube_enlarge
|
|
--------------
|
|
(-1),(1)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(0,0,0)'::cube, 1, 0);
|
|
cube_enlarge
|
|
------------------------
|
|
(-1, -1, -1),(1, 1, 1)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(0,0,0)'::cube, 1, 2);
|
|
cube_enlarge
|
|
------------------------
|
|
(-1, -1, -1),(1, 1, 1)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 1, 2);
|
|
cube_enlarge
|
|
-----------------
|
|
(-4, -3),(3, 8)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 3, 2);
|
|
cube_enlarge
|
|
------------------
|
|
(-6, -5),(5, 10)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -1, 2);
|
|
cube_enlarge
|
|
-----------------
|
|
(-2, -1),(1, 6)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -3, 2);
|
|
cube_enlarge
|
|
---------------------
|
|
(-0.5, 1),(-0.5, 4)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -23, 5);
|
|
cube_enlarge
|
|
--------------
|
|
(42, 0, 0)
|
|
(1 row)
|
|
|
|
SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -24, 5);
|
|
cube_enlarge
|
|
--------------
|
|
(42, 0, 0)
|
|
(1 row)
|
|
|
|
-- Test of cube_union (MBR for two cubes)
|
|
--
|
|
SELECT cube_union('(1,2),(3,4)'::cube, '(5,6,7),(8,9,10)'::cube);
|
|
cube_union
|
|
----------------------
|
|
(1, 2, 0),(8, 9, 10)
|
|
(1 row)
|
|
|
|
SELECT cube_union('(1,2)'::cube, '(4,2,0,0)'::cube);
|
|
cube_union
|
|
---------------------------
|
|
(1, 2, 0, 0),(4, 2, 0, 0)
|
|
(1 row)
|
|
|
|
SELECT cube_union('(1,2),(1,2)'::cube, '(4,2),(4,2)'::cube);
|
|
cube_union
|
|
---------------
|
|
(1, 2),(4, 2)
|
|
(1 row)
|
|
|
|
SELECT cube_union('(1,2),(1,2)'::cube, '(1,2),(1,2)'::cube);
|
|
cube_union
|
|
------------
|
|
(1, 2)
|
|
(1 row)
|
|
|
|
SELECT cube_union('(1,2),(1,2)'::cube, '(1,2,0),(1,2,0)'::cube);
|
|
cube_union
|
|
------------
|
|
(1, 2, 0)
|
|
(1 row)
|
|
|
|
-- Test of cube_inter
|
|
--
|
|
SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (16,15)'::cube); -- intersects
|
|
cube_inter
|
|
-----------------
|
|
(3, 4),(10, 11)
|
|
(1 row)
|
|
|
|
SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (6,5)'::cube); -- includes
|
|
cube_inter
|
|
---------------
|
|
(3, 4),(6, 5)
|
|
(1 row)
|
|
|
|
SELECT cube_inter('(1,2),(10,11)'::cube, '(13,14), (16,15)'::cube); -- no intersection
|
|
cube_inter
|
|
-------------------
|
|
(13, 14),(10, 11)
|
|
(1 row)
|
|
|
|
SELECT cube_inter('(1,2),(10,11)'::cube, '(3,14), (16,15)'::cube); -- no intersection, but one dimension intersects
|
|
cube_inter
|
|
------------------
|
|
(3, 14),(10, 11)
|
|
(1 row)
|
|
|
|
SELECT cube_inter('(1,2),(10,11)'::cube, '(10,11), (16,15)'::cube); -- point intersection
|
|
cube_inter
|
|
------------
|
|
(10, 11)
|
|
(1 row)
|
|
|
|
SELECT cube_inter('(1,2,3)'::cube, '(1,2,3)'::cube); -- point args
|
|
cube_inter
|
|
------------
|
|
(1, 2, 3)
|
|
(1 row)
|
|
|
|
SELECT cube_inter('(1,2,3)'::cube, '(5,6,3)'::cube); -- point args
|
|
cube_inter
|
|
---------------------
|
|
(5, 6, 3),(1, 2, 3)
|
|
(1 row)
|
|
|
|
-- Test of cube_size
|
|
--
|
|
SELECT cube_size('(4,8),(15,16)'::cube);
|
|
cube_size
|
|
-----------
|
|
88
|
|
(1 row)
|
|
|
|
SELECT cube_size('(42,137)'::cube);
|
|
cube_size
|
|
-----------
|
|
0
|
|
(1 row)
|
|
|
|
-- Test of distances (euclidean distance may not be bit-exact)
|
|
--
|
|
SET extra_float_digits = 0;
|
|
SELECT cube_distance('(1,1)'::cube, '(4,5)'::cube);
|
|
cube_distance
|
|
---------------
|
|
5
|
|
(1 row)
|
|
|
|
SELECT '(1,1)'::cube <-> '(4,5)'::cube as d_e;
|
|
d_e
|
|
-----
|
|
5
|
|
(1 row)
|
|
|
|
RESET extra_float_digits;
|
|
SELECT distance_chebyshev('(1,1)'::cube, '(4,5)'::cube);
|
|
distance_chebyshev
|
|
--------------------
|
|
4
|
|
(1 row)
|
|
|
|
SELECT '(1,1)'::cube <=> '(4,5)'::cube as d_c;
|
|
d_c
|
|
-----
|
|
4
|
|
(1 row)
|
|
|
|
SELECT distance_taxicab('(1,1)'::cube, '(4,5)'::cube);
|
|
distance_taxicab
|
|
------------------
|
|
7
|
|
(1 row)
|
|
|
|
SELECT '(1,1)'::cube <#> '(4,5)'::cube as d_t;
|
|
d_t
|
|
-----
|
|
7
|
|
(1 row)
|
|
|
|
-- zero for overlapping
|
|
SELECT cube_distance('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
|
|
cube_distance
|
|
---------------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT distance_chebyshev('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
|
|
distance_chebyshev
|
|
--------------------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT distance_taxicab('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
|
|
distance_taxicab
|
|
------------------
|
|
0
|
|
(1 row)
|
|
|
|
-- coordinate access
|
|
SELECT cube(array[10,20,30], array[40,50,60])->1;
|
|
?column?
|
|
----------
|
|
10
|
|
(1 row)
|
|
|
|
SELECT cube(array[40,50,60], array[10,20,30])->1;
|
|
?column?
|
|
----------
|
|
40
|
|
(1 row)
|
|
|
|
SELECT cube(array[10,20,30], array[40,50,60])->6;
|
|
?column?
|
|
----------
|
|
60
|
|
(1 row)
|
|
|
|
SELECT cube(array[10,20,30], array[40,50,60])->0;
|
|
ERROR: cube index 0 is out of bounds
|
|
SELECT cube(array[10,20,30], array[40,50,60])->7;
|
|
ERROR: cube index 7 is out of bounds
|
|
SELECT cube(array[10,20,30], array[40,50,60])->-1;
|
|
ERROR: cube index -1 is out of bounds
|
|
SELECT cube(array[10,20,30], array[40,50,60])->-6;
|
|
ERROR: cube index -6 is out of bounds
|
|
SELECT cube(array[10,20,30])->3;
|
|
?column?
|
|
----------
|
|
30
|
|
(1 row)
|
|
|
|
SELECT cube(array[10,20,30])->6;
|
|
?column?
|
|
----------
|
|
30
|
|
(1 row)
|
|
|
|
SELECT cube(array[10,20,30])->-6;
|
|
ERROR: cube index -6 is out of bounds
|
|
-- "normalized" coordinate access
|
|
SELECT cube(array[10,20,30], array[40,50,60])~>1;
|
|
?column?
|
|
----------
|
|
10
|
|
(1 row)
|
|
|
|
SELECT cube(array[40,50,60], array[10,20,30])~>1;
|
|
?column?
|
|
----------
|
|
10
|
|
(1 row)
|
|
|
|
SELECT cube(array[10,20,30], array[40,50,60])~>2;
|
|
?column?
|
|
----------
|
|
40
|
|
(1 row)
|
|
|
|
SELECT cube(array[40,50,60], array[10,20,30])~>2;
|
|
?column?
|
|
----------
|
|
40
|
|
(1 row)
|
|
|
|
SELECT cube(array[10,20,30], array[40,50,60])~>3;
|
|
?column?
|
|
----------
|
|
20
|
|
(1 row)
|
|
|
|
SELECT cube(array[40,50,60], array[10,20,30])~>3;
|
|
?column?
|
|
----------
|
|
20
|
|
(1 row)
|
|
|
|
SELECT cube(array[40,50,60], array[10,20,30])~>0;
|
|
ERROR: zero cube index is not defined
|
|
SELECT cube(array[40,50,60], array[10,20,30])~>4;
|
|
?column?
|
|
----------
|
|
50
|
|
(1 row)
|
|
|
|
SELECT cube(array[40,50,60], array[10,20,30])~>(-1);
|
|
?column?
|
|
----------
|
|
-10
|
|
(1 row)
|
|
|
|
-- Load some example data and build the index
|
|
--
|
|
CREATE TABLE test_cube (c cube);
|
|
\copy test_cube from 'data/test_cube.data'
|
|
CREATE INDEX test_cube_ix ON test_cube USING gist (c);
|
|
SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' ORDER BY c;
|
|
c
|
|
--------------------------
|
|
(337, 455),(240, 359)
|
|
(759, 187),(662, 163)
|
|
(1444, 403),(1346, 344)
|
|
(1594, 1043),(1517, 971)
|
|
(2424, 160),(2424, 81)
|
|
(5 rows)
|
|
|
|
-- Test sorting
|
|
SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' GROUP BY c ORDER BY c;
|
|
c
|
|
--------------------------
|
|
(337, 455),(240, 359)
|
|
(759, 187),(662, 163)
|
|
(1444, 403),(1346, 344)
|
|
(1594, 1043),(1517, 971)
|
|
(2424, 160),(2424, 81)
|
|
(5 rows)
|
|
|
|
-- Test index-only scans
|
|
SET enable_bitmapscan = false;
|
|
EXPLAIN (COSTS OFF)
|
|
SELECT c FROM test_cube WHERE c <@ '(3000,1000),(0,0)' ORDER BY c;
|
|
QUERY PLAN
|
|
--------------------------------------------------------
|
|
Sort
|
|
Sort Key: c
|
|
-> Index Only Scan using test_cube_ix on test_cube
|
|
Index Cond: (c <@ '(3000, 1000),(0, 0)'::cube)
|
|
(4 rows)
|
|
|
|
SELECT c FROM test_cube WHERE c <@ '(3000,1000),(0,0)' ORDER BY c;
|
|
c
|
|
-------------------------
|
|
(337, 455),(240, 359)
|
|
(759, 187),(662, 163)
|
|
(1444, 403),(1346, 344)
|
|
(2424, 160),(2424, 81)
|
|
(4 rows)
|
|
|
|
RESET enable_bitmapscan;
|
|
-- Test kNN
|
|
INSERT INTO test_cube VALUES ('(1,1)'), ('(100000)'), ('(0, 100000)'); -- Some corner cases
|
|
SET enable_seqscan = false;
|
|
-- Test different metrics
|
|
SET extra_float_digits = 0;
|
|
SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
|
|
c | dist
|
|
-------------------------+------------------
|
|
(337, 455),(240, 359) | 0
|
|
(1, 1) | 140.007142674936
|
|
(759, 187),(662, 163) | 162
|
|
(948, 1201),(907, 1156) | 772.000647668122
|
|
(1444, 403),(1346, 344) | 846
|
|
(5 rows)
|
|
|
|
RESET extra_float_digits;
|
|
SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
|
|
c | dist
|
|
-------------------------+------
|
|
(337, 455),(240, 359) | 0
|
|
(1, 1) | 99
|
|
(759, 187),(662, 163) | 162
|
|
(948, 1201),(907, 1156) | 656
|
|
(1444, 403),(1346, 344) | 846
|
|
(5 rows)
|
|
|
|
SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;
|
|
c | dist
|
|
-------------------------+------
|
|
(337, 455),(240, 359) | 0
|
|
(759, 187),(662, 163) | 162
|
|
(1, 1) | 198
|
|
(1444, 403),(1346, 344) | 846
|
|
(369, 1457),(278, 1409) | 909
|
|
(5 rows)
|
|
|
|
-- Test sorting by coordinates
|
|
SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound
|
|
?column? | c
|
|
----------+---------------------------
|
|
0 | (0, 100000)
|
|
1 | (1, 1)
|
|
3 | (54, 38679),(3, 38602)
|
|
15 | (83, 10271),(15, 10265)
|
|
64 | (122, 46832),(64, 46762)
|
|
92 | (167, 17214),(92, 17184)
|
|
107 | (161, 24465),(107, 24374)
|
|
120 | (162, 26040),(120, 25963)
|
|
138 | (154, 4019),(138, 3990)
|
|
175 | (259, 1850),(175, 1820)
|
|
179 | (207, 40886),(179, 40879)
|
|
204 | (288, 49588),(204, 49571)
|
|
226 | (270, 32616),(226, 32607)
|
|
235 | (318, 31489),(235, 31404)
|
|
240 | (337, 455),(240, 359)
|
|
(15 rows)
|
|
|
|
SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound
|
|
?column? | c
|
|
----------+---------------------------
|
|
0 | (0, 100000)
|
|
1 | (1, 1)
|
|
54 | (54, 38679),(3, 38602)
|
|
83 | (83, 10271),(15, 10265)
|
|
122 | (122, 46832),(64, 46762)
|
|
154 | (154, 4019),(138, 3990)
|
|
161 | (161, 24465),(107, 24374)
|
|
162 | (162, 26040),(120, 25963)
|
|
167 | (167, 17214),(92, 17184)
|
|
207 | (207, 40886),(179, 40879)
|
|
259 | (259, 1850),(175, 1820)
|
|
270 | (270, 29508),(264, 29440)
|
|
270 | (270, 32616),(226, 32607)
|
|
288 | (288, 49588),(204, 49571)
|
|
318 | (318, 31489),(235, 31404)
|
|
(15 rows)
|
|
|
|
SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound
|
|
?column? | c
|
|
----------+---------------------------
|
|
0 | (100000)
|
|
1 | (1, 1)
|
|
6 | (30333, 50),(30273, 6)
|
|
43 | (43301, 75),(43227, 43)
|
|
51 | (19650, 142),(19630, 51)
|
|
81 | (2424, 160),(2424, 81)
|
|
108 | (3449, 171),(3354, 108)
|
|
109 | (18037, 155),(17941, 109)
|
|
114 | (28511, 208),(28479, 114)
|
|
118 | (19946, 217),(19941, 118)
|
|
139 | (16906, 191),(16816, 139)
|
|
163 | (759, 187),(662, 163)
|
|
181 | (22684, 266),(22656, 181)
|
|
213 | (24423, 255),(24360, 213)
|
|
222 | (45989, 249),(45910, 222)
|
|
(15 rows)
|
|
|
|
SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound
|
|
?column? | c
|
|
----------+---------------------------
|
|
0 | (100000)
|
|
1 | (1, 1)
|
|
50 | (30333, 50),(30273, 6)
|
|
75 | (43301, 75),(43227, 43)
|
|
142 | (19650, 142),(19630, 51)
|
|
155 | (18037, 155),(17941, 109)
|
|
160 | (2424, 160),(2424, 81)
|
|
171 | (3449, 171),(3354, 108)
|
|
187 | (759, 187),(662, 163)
|
|
191 | (16906, 191),(16816, 139)
|
|
208 | (28511, 208),(28479, 114)
|
|
217 | (19946, 217),(19941, 118)
|
|
249 | (45989, 249),(45910, 222)
|
|
255 | (24423, 255),(24360, 213)
|
|
266 | (22684, 266),(22656, 181)
|
|
(15 rows)
|
|
|
|
SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound
|
|
?column? | c
|
|
----------+-------------------------------
|
|
-100000 | (100000)
|
|
-49951 | (50027, 49230),(49951, 49214)
|
|
-49937 | (49980, 35004),(49937, 34963)
|
|
-49927 | (49985, 6436),(49927, 6338)
|
|
-49908 | (49999, 27218),(49908, 27176)
|
|
-49905 | (49954, 1340),(49905, 1294)
|
|
-49902 | (49944, 25163),(49902, 25153)
|
|
-49898 | (49981, 34876),(49898, 34786)
|
|
-49897 | (49957, 43390),(49897, 43384)
|
|
-49848 | (49853, 18504),(49848, 18503)
|
|
-49818 | (49902, 41752),(49818, 41746)
|
|
-49810 | (49907, 30225),(49810, 30158)
|
|
-49808 | (49843, 5175),(49808, 5145)
|
|
-49805 | (49887, 24274),(49805, 24184)
|
|
-49798 | (49847, 7128),(49798, 7067)
|
|
(15 rows)
|
|
|
|
SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound
|
|
?column? | c
|
|
----------+-------------------------------
|
|
-100000 | (100000)
|
|
-50027 | (50027, 49230),(49951, 49214)
|
|
-49999 | (49999, 27218),(49908, 27176)
|
|
-49985 | (49985, 6436),(49927, 6338)
|
|
-49981 | (49981, 34876),(49898, 34786)
|
|
-49980 | (49980, 35004),(49937, 34963)
|
|
-49957 | (49957, 43390),(49897, 43384)
|
|
-49954 | (49954, 1340),(49905, 1294)
|
|
-49944 | (49944, 25163),(49902, 25153)
|
|
-49907 | (49907, 30225),(49810, 30158)
|
|
-49902 | (49902, 41752),(49818, 41746)
|
|
-49887 | (49887, 24274),(49805, 24184)
|
|
-49853 | (49853, 18504),(49848, 18503)
|
|
-49847 | (49847, 7128),(49798, 7067)
|
|
-49843 | (49843, 5175),(49808, 5145)
|
|
(15 rows)
|
|
|
|
SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound
|
|
?column? | c
|
|
----------+-------------------------------
|
|
-100000 | (0, 100000)
|
|
-49992 | (30746, 50040),(30727, 49992)
|
|
-49987 | (36311, 50073),(36258, 49987)
|
|
-49934 | (3531, 49962),(3463, 49934)
|
|
-49915 | (17954, 49975),(17865, 49915)
|
|
-49914 | (2168, 50012),(2108, 49914)
|
|
-49913 | (31287, 49923),(31236, 49913)
|
|
-49885 | (21551, 49983),(21492, 49885)
|
|
-49878 | (43925, 49912),(43888, 49878)
|
|
-49849 | (19128, 49932),(19112, 49849)
|
|
-49844 | (38266, 49852),(38233, 49844)
|
|
-49836 | (14913, 49873),(14849, 49836)
|
|
-49834 | (37595, 49849),(37581, 49834)
|
|
-49830 | (46151, 49848),(46058, 49830)
|
|
-49818 | (29261, 49910),(29247, 49818)
|
|
(15 rows)
|
|
|
|
SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound
|
|
?column? | c
|
|
----------+-------------------------------
|
|
-100000 | (0, 100000)
|
|
-50073 | (36311, 50073),(36258, 49987)
|
|
-50040 | (30746, 50040),(30727, 49992)
|
|
-50012 | (2168, 50012),(2108, 49914)
|
|
-49983 | (21551, 49983),(21492, 49885)
|
|
-49975 | (17954, 49975),(17865, 49915)
|
|
-49962 | (3531, 49962),(3463, 49934)
|
|
-49932 | (19128, 49932),(19112, 49849)
|
|
-49923 | (31287, 49923),(31236, 49913)
|
|
-49912 | (43925, 49912),(43888, 49878)
|
|
-49910 | (29261, 49910),(29247, 49818)
|
|
-49873 | (14913, 49873),(14849, 49836)
|
|
-49858 | (20007, 49858),(19921, 49778)
|
|
-49852 | (38266, 49852),(38233, 49844)
|
|
-49849 | (37595, 49849),(37581, 49834)
|
|
(15 rows)
|
|
|
|
-- Same queries with sequential scan (should give the same results as above)
|
|
RESET enable_seqscan;
|
|
SET enable_indexscan = OFF;
|
|
SET extra_float_digits = 0;
|
|
SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
|
|
c | dist
|
|
-------------------------+------------------
|
|
(337, 455),(240, 359) | 0
|
|
(1, 1) | 140.007142674936
|
|
(759, 187),(662, 163) | 162
|
|
(948, 1201),(907, 1156) | 772.000647668122
|
|
(1444, 403),(1346, 344) | 846
|
|
(5 rows)
|
|
|
|
RESET extra_float_digits;
|
|
SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
|
|
c | dist
|
|
-------------------------+------
|
|
(337, 455),(240, 359) | 0
|
|
(1, 1) | 99
|
|
(759, 187),(662, 163) | 162
|
|
(948, 1201),(907, 1156) | 656
|
|
(1444, 403),(1346, 344) | 846
|
|
(5 rows)
|
|
|
|
SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;
|
|
c | dist
|
|
-------------------------+------
|
|
(337, 455),(240, 359) | 0
|
|
(759, 187),(662, 163) | 162
|
|
(1, 1) | 198
|
|
(1444, 403),(1346, 344) | 846
|
|
(369, 1457),(278, 1409) | 909
|
|
(5 rows)
|
|
|
|
SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound
|
|
?column? | c
|
|
----------+---------------------------
|
|
0 | (0, 100000)
|
|
1 | (1, 1)
|
|
3 | (54, 38679),(3, 38602)
|
|
15 | (83, 10271),(15, 10265)
|
|
64 | (122, 46832),(64, 46762)
|
|
92 | (167, 17214),(92, 17184)
|
|
107 | (161, 24465),(107, 24374)
|
|
120 | (162, 26040),(120, 25963)
|
|
138 | (154, 4019),(138, 3990)
|
|
175 | (259, 1850),(175, 1820)
|
|
179 | (207, 40886),(179, 40879)
|
|
204 | (288, 49588),(204, 49571)
|
|
226 | (270, 32616),(226, 32607)
|
|
235 | (318, 31489),(235, 31404)
|
|
240 | (337, 455),(240, 359)
|
|
(15 rows)
|
|
|
|
SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound
|
|
?column? | c
|
|
----------+---------------------------
|
|
0 | (0, 100000)
|
|
1 | (1, 1)
|
|
54 | (54, 38679),(3, 38602)
|
|
83 | (83, 10271),(15, 10265)
|
|
122 | (122, 46832),(64, 46762)
|
|
154 | (154, 4019),(138, 3990)
|
|
161 | (161, 24465),(107, 24374)
|
|
162 | (162, 26040),(120, 25963)
|
|
167 | (167, 17214),(92, 17184)
|
|
207 | (207, 40886),(179, 40879)
|
|
259 | (259, 1850),(175, 1820)
|
|
270 | (270, 29508),(264, 29440)
|
|
270 | (270, 32616),(226, 32607)
|
|
288 | (288, 49588),(204, 49571)
|
|
318 | (318, 31489),(235, 31404)
|
|
(15 rows)
|
|
|
|
SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound
|
|
?column? | c
|
|
----------+---------------------------
|
|
0 | (100000)
|
|
1 | (1, 1)
|
|
6 | (30333, 50),(30273, 6)
|
|
43 | (43301, 75),(43227, 43)
|
|
51 | (19650, 142),(19630, 51)
|
|
81 | (2424, 160),(2424, 81)
|
|
108 | (3449, 171),(3354, 108)
|
|
109 | (18037, 155),(17941, 109)
|
|
114 | (28511, 208),(28479, 114)
|
|
118 | (19946, 217),(19941, 118)
|
|
139 | (16906, 191),(16816, 139)
|
|
163 | (759, 187),(662, 163)
|
|
181 | (22684, 266),(22656, 181)
|
|
213 | (24423, 255),(24360, 213)
|
|
222 | (45989, 249),(45910, 222)
|
|
(15 rows)
|
|
|
|
SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound
|
|
?column? | c
|
|
----------+---------------------------
|
|
0 | (100000)
|
|
1 | (1, 1)
|
|
50 | (30333, 50),(30273, 6)
|
|
75 | (43301, 75),(43227, 43)
|
|
142 | (19650, 142),(19630, 51)
|
|
155 | (18037, 155),(17941, 109)
|
|
160 | (2424, 160),(2424, 81)
|
|
171 | (3449, 171),(3354, 108)
|
|
187 | (759, 187),(662, 163)
|
|
191 | (16906, 191),(16816, 139)
|
|
208 | (28511, 208),(28479, 114)
|
|
217 | (19946, 217),(19941, 118)
|
|
249 | (45989, 249),(45910, 222)
|
|
255 | (24423, 255),(24360, 213)
|
|
266 | (22684, 266),(22656, 181)
|
|
(15 rows)
|
|
|
|
SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound
|
|
?column? | c
|
|
----------+-------------------------------
|
|
-100000 | (100000)
|
|
-49951 | (50027, 49230),(49951, 49214)
|
|
-49937 | (49980, 35004),(49937, 34963)
|
|
-49927 | (49985, 6436),(49927, 6338)
|
|
-49908 | (49999, 27218),(49908, 27176)
|
|
-49905 | (49954, 1340),(49905, 1294)
|
|
-49902 | (49944, 25163),(49902, 25153)
|
|
-49898 | (49981, 34876),(49898, 34786)
|
|
-49897 | (49957, 43390),(49897, 43384)
|
|
-49848 | (49853, 18504),(49848, 18503)
|
|
-49818 | (49902, 41752),(49818, 41746)
|
|
-49810 | (49907, 30225),(49810, 30158)
|
|
-49808 | (49843, 5175),(49808, 5145)
|
|
-49805 | (49887, 24274),(49805, 24184)
|
|
-49798 | (49847, 7128),(49798, 7067)
|
|
(15 rows)
|
|
|
|
SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound
|
|
?column? | c
|
|
----------+-------------------------------
|
|
-100000 | (100000)
|
|
-50027 | (50027, 49230),(49951, 49214)
|
|
-49999 | (49999, 27218),(49908, 27176)
|
|
-49985 | (49985, 6436),(49927, 6338)
|
|
-49981 | (49981, 34876),(49898, 34786)
|
|
-49980 | (49980, 35004),(49937, 34963)
|
|
-49957 | (49957, 43390),(49897, 43384)
|
|
-49954 | (49954, 1340),(49905, 1294)
|
|
-49944 | (49944, 25163),(49902, 25153)
|
|
-49907 | (49907, 30225),(49810, 30158)
|
|
-49902 | (49902, 41752),(49818, 41746)
|
|
-49887 | (49887, 24274),(49805, 24184)
|
|
-49853 | (49853, 18504),(49848, 18503)
|
|
-49847 | (49847, 7128),(49798, 7067)
|
|
-49843 | (49843, 5175),(49808, 5145)
|
|
(15 rows)
|
|
|
|
SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound
|
|
?column? | c
|
|
----------+-------------------------------
|
|
-100000 | (0, 100000)
|
|
-49992 | (30746, 50040),(30727, 49992)
|
|
-49987 | (36311, 50073),(36258, 49987)
|
|
-49934 | (3531, 49962),(3463, 49934)
|
|
-49915 | (17954, 49975),(17865, 49915)
|
|
-49914 | (2168, 50012),(2108, 49914)
|
|
-49913 | (31287, 49923),(31236, 49913)
|
|
-49885 | (21551, 49983),(21492, 49885)
|
|
-49878 | (43925, 49912),(43888, 49878)
|
|
-49849 | (19128, 49932),(19112, 49849)
|
|
-49844 | (38266, 49852),(38233, 49844)
|
|
-49836 | (14913, 49873),(14849, 49836)
|
|
-49834 | (37595, 49849),(37581, 49834)
|
|
-49830 | (46151, 49848),(46058, 49830)
|
|
-49818 | (29261, 49910),(29247, 49818)
|
|
(15 rows)
|
|
|
|
SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound
|
|
?column? | c
|
|
----------+-------------------------------
|
|
-100000 | (0, 100000)
|
|
-50073 | (36311, 50073),(36258, 49987)
|
|
-50040 | (30746, 50040),(30727, 49992)
|
|
-50012 | (2168, 50012),(2108, 49914)
|
|
-49983 | (21551, 49983),(21492, 49885)
|
|
-49975 | (17954, 49975),(17865, 49915)
|
|
-49962 | (3531, 49962),(3463, 49934)
|
|
-49932 | (19128, 49932),(19112, 49849)
|
|
-49923 | (31287, 49923),(31236, 49913)
|
|
-49912 | (43925, 49912),(43888, 49878)
|
|
-49910 | (29261, 49910),(29247, 49818)
|
|
-49873 | (14913, 49873),(14849, 49836)
|
|
-49858 | (20007, 49858),(19921, 49778)
|
|
-49852 | (38266, 49852),(38233, 49844)
|
|
-49849 | (37595, 49849),(37581, 49834)
|
|
(15 rows)
|
|
|
|
RESET enable_indexscan;
|