SELECT '[1,2,3]'::halfvec + '[4,5,6]';
 ?column? 
----------
 [5,7,9]
(1 row)

SELECT '[65519]'::halfvec + '[65519]';
ERROR:  value out of range: overflow
SELECT '[1,2,3]'::halfvec - '[4,5,6]';
  ?column?  
------------
 [-3,-3,-3]
(1 row)

SELECT '[-65519]'::halfvec - '[65519]';
ERROR:  value out of range: overflow
SELECT '[1,2,3]'::halfvec * '[4,5,6]';
 ?column?  
-----------
 [4,10,18]
(1 row)

SELECT '[65519]'::halfvec * '[65519]';
ERROR:  value out of range: overflow
SELECT '[1e-7]'::halfvec * '[1e-7]';
ERROR:  value out of range: underflow
SELECT '[1,2,3]'::halfvec < '[1,2,3]';
 ?column? 
----------
 f
(1 row)

SELECT '[1,2,3]'::halfvec < '[1,2]';
 ?column? 
----------
 f
(1 row)

SELECT '[1,2,3]'::halfvec <= '[1,2,3]';
 ?column? 
----------
 t
(1 row)

SELECT '[1,2,3]'::halfvec <= '[1,2]';
 ?column? 
----------
 f
(1 row)

SELECT '[1,2,3]'::halfvec = '[1,2,3]';
 ?column? 
----------
 t
(1 row)

SELECT '[1,2,3]'::halfvec = '[1,2]';
 ?column? 
----------
 f
(1 row)

SELECT '[1,2,3]'::halfvec != '[1,2,3]';
 ?column? 
----------
 f
(1 row)

SELECT '[1,2,3]'::halfvec != '[1,2]';
 ?column? 
----------
 t
(1 row)

SELECT '[1,2,3]'::halfvec >= '[1,2,3]';
 ?column? 
----------
 t
(1 row)

SELECT '[1,2,3]'::halfvec >= '[1,2]';
 ?column? 
----------
 t
(1 row)

SELECT '[1,2,3]'::halfvec > '[1,2,3]';
 ?column? 
----------
 f
(1 row)

SELECT '[1,2,3]'::halfvec > '[1,2]';
 ?column? 
----------
 t
(1 row)

SELECT halfvec_cmp('[1,2,3]', '[1,2,3]');
 halfvec_cmp 
-------------
           0
(1 row)

SELECT halfvec_cmp('[1,2,3]', '[0,0,0]');
 halfvec_cmp 
-------------
           1
(1 row)

SELECT halfvec_cmp('[0,0,0]', '[1,2,3]');
 halfvec_cmp 
-------------
          -1
(1 row)

SELECT halfvec_cmp('[1,2]', '[1,2,3]');
 halfvec_cmp 
-------------
          -1
(1 row)

SELECT halfvec_cmp('[1,2,3]', '[1,2]');
 halfvec_cmp 
-------------
           1
(1 row)

SELECT halfvec_cmp('[1,2]', '[2,3,4]');
 halfvec_cmp 
-------------
          -1
(1 row)

SELECT halfvec_cmp('[2,3]', '[1,2,3]');
 halfvec_cmp 
-------------
           1
(1 row)

SELECT halfvec_dims('[1,2,3]'::halfvec);
 halfvec_dims 
--------------
            3
(1 row)

SELECT round(halfvec_norm('[1,1]')::numeric, 5);
  round  
---------
 1.41421
(1 row)

SELECT halfvec_norm('[3,4]');
 halfvec_norm 
--------------
            5
(1 row)

SELECT halfvec_norm('[0,1]');
 halfvec_norm 
--------------
            1
(1 row)

SELECT l2_distance('[0,0]'::halfvec, '[3,4]');
 l2_distance 
-------------
           5
(1 row)

SELECT l2_distance('[0,0]'::halfvec, '[0,1]');
 l2_distance 
-------------
           1
(1 row)

SELECT l2_distance('[1,2]'::halfvec, '[3]');
ERROR:  different halfvec dimensions 2 and 1
SELECT l2_distance('[1,1,1,1,1,1,1,1,1]'::halfvec, '[1,1,1,1,1,1,1,4,5]');
 l2_distance 
-------------
           5
(1 row)

SELECT '[0,0]'::halfvec <-> '[3,4]';
 ?column? 
----------
        5
(1 row)

SELECT inner_product('[1,2]'::halfvec, '[3,4]');
 inner_product 
---------------
            11
(1 row)

SELECT inner_product('[1,2]'::halfvec, '[3]');
ERROR:  different halfvec dimensions 2 and 1
SELECT inner_product('[65504]'::halfvec, '[65504]');
 inner_product 
---------------
    4290774016
(1 row)

SELECT inner_product('[1,1,1,1,1,1,1,1,1]'::halfvec, '[1,2,3,4,5,6,7,8,9]');
 inner_product 
---------------
            45
(1 row)

SELECT '[1,2]'::halfvec <#> '[3,4]';
 ?column? 
----------
      -11
(1 row)

SELECT cosine_distance('[1,2]'::halfvec, '[2,4]');
 cosine_distance 
-----------------
               0
(1 row)

SELECT cosine_distance('[1,2]'::halfvec, '[0,0]');
 cosine_distance 
-----------------
             NaN
(1 row)

SELECT cosine_distance('[1,1]'::halfvec, '[1,1]');
 cosine_distance 
-----------------
               0
(1 row)

SELECT cosine_distance('[1,0]'::halfvec, '[0,2]');
 cosine_distance 
-----------------
               1
(1 row)

SELECT cosine_distance('[1,1]'::halfvec, '[-1,-1]');
 cosine_distance 
-----------------
               2
(1 row)

SELECT cosine_distance('[1,2]'::halfvec, '[3]');
ERROR:  different halfvec dimensions 2 and 1
SELECT cosine_distance('[1,1]'::halfvec, '[1.1,1.1]');
 cosine_distance 
-----------------
               0
(1 row)

SELECT cosine_distance('[1,1]'::halfvec, '[-1.1,-1.1]');
 cosine_distance 
-----------------
               2
(1 row)

SELECT '[1,2]'::halfvec <=> '[2,4]';
 ?column? 
----------
        0
(1 row)

SELECT l1_distance('[0,0]'::halfvec, '[3,4]');
 l1_distance 
-------------
           7
(1 row)

SELECT l1_distance('[0,0]'::halfvec, '[0,1]');
 l1_distance 
-------------
           1
(1 row)

SELECT l1_distance('[1,2]'::halfvec, '[3]');
ERROR:  different halfvec dimensions 2 and 1
SELECT quantize_binary('[1,0,-1]'::halfvec);
 quantize_binary 
-----------------
 100
(1 row)

SELECT quantize_binary('[0,0.1,-0.2,-0.3,0.4,0.5,0.6,-0.7,0.8,-0.9,1]'::halfvec);
 quantize_binary 
-----------------
 01001110101
(1 row)

SELECT subvector('[1,2,3,4,5]'::halfvec, 1, 3);
 subvector 
-----------
 [1,2,3]
(1 row)

SELECT subvector('[1,2,3,4,5]'::halfvec, 3, 2);
 subvector 
-----------
 [3,4]
(1 row)

SELECT subvector('[1,2,3,4,5]'::halfvec, -1, 3);
 subvector 
-----------
 [1]
(1 row)

SELECT subvector('[1,2,3,4,5]'::halfvec, 3, 9);
 subvector 
-----------
 [3,4,5]
(1 row)

SELECT subvector('[1,2,3,4,5]'::halfvec, 1, 0);
ERROR:  halfvec must have at least 1 dimension
SELECT subvector('[1,2,3,4,5]'::halfvec, 3, -1);
ERROR:  halfvec must have at least 1 dimension
SELECT subvector('[1,2,3,4,5]'::halfvec, -1, 2);
ERROR:  halfvec must have at least 1 dimension
SELECT avg(v) FROM unnest(ARRAY['[1,2,3]'::halfvec, '[3,5,7]']) v;
    avg    
-----------
 [2,3.5,5]
(1 row)

SELECT avg(v) FROM unnest(ARRAY['[1,2,3]'::halfvec, '[3,5,7]', NULL]) v;
    avg    
-----------
 [2,3.5,5]
(1 row)

SELECT avg(v) FROM unnest(ARRAY[]::halfvec[]) v;
 avg 
-----
 
(1 row)

SELECT avg(v) FROM unnest(ARRAY['[1,2]'::halfvec, '[3]']) v;
ERROR:  expected 2 dimensions, not 1
SELECT avg(v) FROM unnest(ARRAY['[65504]'::halfvec, '[65504]']) v;
   avg   
---------
 [65504]
(1 row)

SELECT halfvec_avg(array_agg(n)) FROM generate_series(1, 16002) n;
ERROR:  halfvec cannot have more than 16000 dimensions
SELECT sum(v) FROM unnest(ARRAY['[1,2,3]'::halfvec, '[3,5,7]']) v;
   sum    
----------
 [4,7,10]
(1 row)

SELECT sum(v) FROM unnest(ARRAY['[1,2,3]'::halfvec, '[3,5,7]', NULL]) v;
   sum    
----------
 [4,7,10]
(1 row)

SELECT sum(v) FROM unnest(ARRAY[]::halfvec[]) v;
 sum 
-----
 
(1 row)

SELECT sum(v) FROM unnest(ARRAY['[1,2]'::halfvec, '[3]']) v;
ERROR:  different halfvec dimensions 2 and 1
SELECT sum(v) FROM unnest(ARRAY['[65504]'::halfvec, '[65504]']) v;
ERROR:  value out of range: overflow