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db<>fiddle
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WITH
data AS (SELECT CAST('{"f1":["v1","v2"],"f2":"v3"}' AS varchar(max)) AS ResponseJSON),
parser AS
(
SELECT
Level = 1,
OpenClose = 1,
P = p.P,
S = SUBSTRING(d.ResponseJSON, 1, NULLIF(p.P, 0) - 1),
C = SUBSTRING(d.ResponseJSON, NULLIF(p.P, 0), 1),
ResponseJSON = SUBSTRING(d.ResponseJSON, NULLIF(p.P, 0) + 1, 999999)
FROM
data AS d
CROSS APPLY (SELECT PATINDEX('%[[{]%', d.ResponseJSON)) AS p (P)
UNION ALL
SELECT
Level = ISNULL(d.OpenClose - 1, 0) + d.Level + ISNULL(oc.OpenClose, 0),
OpenClose = oc.OpenClose,
P = d.P + ISNULL(p.P, 0),
S = SUBSTRING(d.ResponseJSON, 1, p.P - 1),
C = c.C,
ResponseJSON = SUBSTRING(d.ResponseJSON, p.P + 1, 999999)
FROM
parser AS d
CROSS APPLY (VALUES (NULLIF(PATINDEX('%[[{}:,]%', d.ResponseJSON), 0), NULLIF(PATINDEX('%]%', d.ResponseJSON), 0))) AS p_ (a, b)
CROSS APPLY (VALUES (CASE WHEN p_.a < p_.b OR p_.b IS NULL THEN p_.a ELSE p_.b END)) AS p (P)
CROSS APPLY (SELECT SUBSTRING(d.ResponseJSON, p.P, 1)) AS c (C)
CROSS APPLY (SELECT CASE WHEN c.C IN ('[', '{') THEN 1 WHEN c.C IN (']', '}') THEN 0 END) AS oc (OpenClose)
WHERE 1=1
AND p.P <> 0
)
SELECT
*
FROM
parser
OPTION
Level OpenClose P S C ResponseJSON
1 1 1 { "f1":["v1","v2"],"f2":"v3"}
1 null 6 "f1" : ["v1","v2"],"f2":"v3"}
2 1 7 [ "v1","v2"],"f2":"v3"}
2 null 12 "v1" , "v2"],"f2":"v3"}
2 0 17 "v2" ] ,"f2":"v3"}
1 null 18 , "f2":"v3"}
1 null 23 "f2" : "v3"}
1 0 28 "v3" }