Here is one approach. You can get the min and max values first , then group on user
column and pivot, then fill in missing columns and fill all nulls as 0, then stack them back:
min_max = df.agg(F.min("day"),F.max("day")).collect()[0]
df1 = df.groupBy("user").pivot("day").agg(F.first("amount").alias("amount")).na.fill(0)
missing_cols = [F.lit(0).alias(str(i)) for i in range(min_max[0],min_max[1]+1)
if str(i) not in df1.columns ]
df1 = df1.select("*",*missing_cols)
#+----+---+---+---+---+
#|user| 1| 2| 4| 3|
#+----+---+---+---+---+
#| b| 4| 0| 0| 0|
#| a| 14| 10| 5| 0|
#+----+---+---+---+---+
#the next step is inspired from https://stackoverflow.com/a/37865645/9840637
arr = F.explode(F.array([F.struct(F.lit(c).alias("day"), F.col(c).alias("amount"))
for c in df1.columns[1:]])).alias("kvs")
(df1.select(["user"] + [arr])
.select(["user"]+ ["kvs.day", "kvs.amount"]).orderBy("user")).show()
+----+---+------+
|user|day|amount|
+----+---+------+
| a| 1| 14|
| a| 2| 10|
| a| 4| 5|
| a| 3| 0|
| b| 1| 4|
| b| 2| 0|
| b| 4| 0|
| b| 3| 0|
+----+---+------+
Note, since column day was pivotted , the dtype might have changed so you may have to cast
them back to the original dtype