SELECT vec_to_string(parse_vec('[1.0, 2.0]'));

SELECT vec_to_string(parse_vec('[1.0, 2.0, 3.0]'));

SELECT vec_to_string(parse_vec('[]'));

SELECT vec_to_string(vec_add('[1.0, 2.0]', '[3.0, 4.0]'));

SELECT vec_to_string(vec_add(parse_vec('[1.0, 2.0]'), '[3.0, 4.0]'));

SELECT vec_to_string(vec_add('[1.0, 2.0]', parse_vec('[3.0, 4.0]')));

SELECT vec_to_string(vec_mul('[1.0, 2.0]', '[3.0, 4.0]'));

SELECT vec_to_string(vec_mul(parse_vec('[1.0, 2.0]'), '[3.0, 4.0]'));

SELECT vec_to_string(vec_mul('[1.0, 2.0]', parse_vec('[3.0, 4.0]')));

SELECT vec_to_string(vec_sub('[1.0, 1.0]', '[1.0, 2.0]'));

SELECT vec_to_string(vec_sub('[-1.0, -1.0]', '[1.0, 2.0]'));

SELECT vec_to_string(vec_sub('[1.0, 1.0]', parse_vec('[1.0, 2.0]')));

SELECT vec_to_string(vec_sub('[-1.0, -1.0]', parse_vec('[1.0, 2.0]')));

SELECT vec_to_string(vec_sub(parse_vec('[1.0, 1.0]'), '[1.0, 2.0]'));

SELECT vec_to_string(vec_sub(parse_vec('[-1.0, -1.0]'), '[1.0, 2.0]'));

SELECT vec_elem_sum('[1.0, 2.0, 3.0]');

SELECT vec_elem_sum('[-1.0, -2.0, -3.0]');

SELECT vec_elem_sum(parse_vec('[1.0, 2.0, 3.0]'));

SELECT vec_elem_sum(parse_vec('[-1.0, -2.0, -3.0]'));

SELECT vec_to_string(vec_div('[1.0, 2.0]', '[3.0, 4.0]'));

SELECT vec_to_string(vec_div(parse_vec('[1.0, 2.0]'), '[3.0, 4.0]'));

SELECT vec_to_string(vec_div('[1.0, 2.0]', parse_vec('[3.0, 4.0]')));

SELECT vec_to_string(vec_div('[1.0, -2.0]', parse_vec('[0.0, 0.0]')));

SELECT vec_elem_product('[1.0, 2.0, 3.0, 4.0]');

SELECT vec_elem_product('[-1.0, -2.0, -3.0, 4.0]');

SELECT vec_elem_product(parse_vec('[1.0, 2.0, 3.0, 4.0]'));

SELECT vec_elem_product(parse_vec('[-1.0, -2.0, -3.0, 4.0]'));

SELECT vec_to_string(vec_norm('[0.0, 2.0, 3.0]'));

SELECT vec_to_string(vec_norm('[1.0, 2.0, 3.0]'));

SELECT vec_to_string(vec_norm('[7.0, 8.0, 9.0]'));

SELECT vec_to_string(vec_norm('[7.0, -8.0, 9.0]'));

SELECT vec_to_string(vec_norm(parse_vec('[7.0, -8.0, 9.0]')));

SELECT vec_to_string(vec_sum(v))
FROM (
    SELECT '[1.0, 2.0, 3.0]' AS v
    UNION ALL
    SELECT '[-1.0, -2.0, -3.0]' AS v
    UNION ALL
    SELECT '[4.0, 5.0, 6.0]' AS v
);

SELECT vec_to_string(vec_product(v))
FROM (
    SELECT '[1.0, 2.0, 3.0]' AS v
    UNION ALL
    SELECT '[-1.0, -2.0, -3.0]' AS v
    UNION ALL
    SELECT '[4.0, 5.0, 6.0]' AS v
);

SELECT vec_dim('[7.0, 8.0, 9.0, 10.0]');

SELECT v, vec_dim(v)
FROM (
         SELECT '[1.0, 2.0, 3.0]' AS v
         UNION ALL
         SELECT '[-1.0]' AS v
         UNION ALL
         SELECT '[4.0, 5.0, 6.0]' AS v
     ) Order By vec_dim(v) ASC;

SELECT v, vec_dim(v)
FROM (
         SELECT '[1.0, 2.0, 3.0]' AS v
         UNION ALL
         SELECT '[-1.0]' AS v
         UNION ALL
         SELECT '[7.0, 8.0, 9.0, 10.0]' AS v
     ) Order By vec_dim(v) ASC;