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pola-rs
GitHub Repository: pola-rs/polars
Path: blob/main/crates/polars-row/src/lib.rs
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//! Row format as defined in `arrow-rs`.
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//! This currently partially implements that format only for needed types.
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//! For completeness sake the format as defined by `arrow-rs` is as followed:
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//! Converts [`ArrayRef`] columns into a [row-oriented](self) format.
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//!
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//! ## Overview
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//!
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//! The row format is a variable length byte sequence created by
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//! concatenating the encoded form of each column. The encoding for
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//! each column depends on its datatype (and sort options).
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//!
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//! The encoding is carefully designed in such a way that escaping is
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//! unnecessary: it is never ambiguous as to whether a byte is part of
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//! a sentinel (e.g. null) or a value.
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//!
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//! ## Unsigned Integer Encoding
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//!
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//! A null integer is encoded as a `0_u8`, followed by a zero-ed number of bytes corresponding
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//! to the integer's length.
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//!
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//! A valid integer is encoded as `1_u8`, followed by the big-endian representation of the
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//! integer.
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//!
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//! ```text
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//! β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”
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//! 3 β”‚03β”‚00β”‚00β”‚00β”‚ β”‚01β”‚00β”‚00β”‚00β”‚03β”‚
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//! β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜
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//! β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”
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//! 258 β”‚02β”‚01β”‚00β”‚00β”‚ β”‚01β”‚00β”‚00β”‚01β”‚02β”‚
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//! β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜
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//! β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”
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//! 23423 β”‚7Fβ”‚5Bβ”‚00β”‚00β”‚ β”‚01β”‚00β”‚00β”‚5Bβ”‚7Fβ”‚
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//! β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜
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//! β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”
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//! NULL β”‚??β”‚??β”‚??β”‚??β”‚ β”‚00β”‚00β”‚00β”‚00β”‚00β”‚
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//! β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜
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//!
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//! 32-bit (4 bytes) Row Format
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//! Value Little Endian
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//! ```
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//!
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//! ## Signed Integer Encoding
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//!
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//! Signed integers have their most significant sign bit flipped, and are then encoded in the
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//! same manner as an unsigned integer.
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//!
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//! ```text
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//! β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”
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//! 5 β”‚05β”‚00β”‚00β”‚00β”‚ β”‚05β”‚00β”‚00β”‚80β”‚ β”‚01β”‚80β”‚00β”‚00β”‚05β”‚
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//! β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜
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//! β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”
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//! -5 β”‚FBβ”‚FFβ”‚FFβ”‚FFβ”‚ β”‚FBβ”‚FFβ”‚FFβ”‚7Fβ”‚ β”‚01β”‚7Fβ”‚FFβ”‚FFβ”‚FBβ”‚
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//! β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜
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//!
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//! Value 32-bit (4 bytes) High bit flipped Row Format
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//! Little Endian
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//! ```
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//!
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//! ## Float Encoding
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//!
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//! Floats are converted from IEEE 754 representation to a signed integer representation
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//! by flipping all bar the sign bit if they are negative after normalizing nans
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//! and signed zeros to a canonical representation.
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//!
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//! They are then encoded in the same manner as a signed integer.
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//!
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//! ## Fixed Length Bytes Encoding
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//!
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//! Fixed length bytes are encoded in the same fashion as primitive types above.
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//!
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//! For a fixed length array of length `n`:
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//!
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//! A null is encoded as `0_u8` null sentinel followed by `n` `0_u8` bytes
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//!
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//! A valid value is encoded as `1_u8` followed by the value bytes
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//!
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//! ## Variable Length Bytes (including Strings) Encoding
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//!
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//! A null is encoded as a `0_u8`.
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//!
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//! An empty byte array is encoded as `1_u8`.
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//!
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//! A non-null, non-empty byte array is encoded as `2_u8` followed by the byte array
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//! encoded using a block based scheme described below.
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//!
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//! The byte array is broken up into 32-byte blocks, each block is written in turn
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//! to the output, followed by `0xFF_u8`. The final block is padded to 32-bytes
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//! with `0_u8` and written to the output, followed by the un-padded length in bytes
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//! of this final block as a `u8`.
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//!
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//! Note the following example encodings use a block size of 4 bytes,
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//! as opposed to 32 bytes for brevity:
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//!
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//! ```text
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//! β”Œβ”€β”€β”€β”¬β”€β”€β”€β”¬β”€β”€β”€β”¬β”€β”€β”€β”¬β”€β”€β”€β”¬β”€β”€β”€β”
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//! "MEEP" β”‚02 β”‚'M'β”‚'E'β”‚'E'β”‚'P'β”‚04 β”‚
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//! β””β”€β”€β”€β”΄β”€β”€β”€β”΄β”€β”€β”€β”΄β”€β”€β”€β”΄β”€β”€β”€β”΄β”€β”€β”€β”˜
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//!
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//! β”Œβ”€β”€β”€β”
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//! "" β”‚01 |
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//! β””β”€β”€β”€β”˜
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//!
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//! NULL β”Œβ”€β”€β”€β”
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//! β”‚00 β”‚
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//! β””β”€β”€β”€β”˜
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//!
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//! "Defenestration" β”Œβ”€β”€β”€β”¬β”€β”€β”€β”¬β”€β”€β”€β”¬β”€β”€β”€β”¬β”€β”€β”€β”¬β”€β”€β”€β”
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//! β”‚02 β”‚'D'β”‚'e'β”‚'f'β”‚'e'β”‚FF β”‚
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//! └───┼───┼───┼───┼───┼────
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//! β”‚'n'β”‚'e'β”‚'s'β”‚'t'β”‚FF β”‚
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//! β”œβ”€β”€β”€β”Όβ”€β”€β”€β”Όβ”€β”€β”€β”Όβ”€β”€β”€β”Όβ”€β”€β”€β”€
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//! β”‚'r'β”‚'a'β”‚'t'β”‚'r'β”‚FF β”‚
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//! β”œβ”€β”€β”€β”Όβ”€β”€β”€β”Όβ”€β”€β”€β”Όβ”€β”€β”€β”Όβ”€β”€β”€β”€
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//! β”‚'a'β”‚'t'β”‚'i'β”‚'o'β”‚FF β”‚
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//! β”œβ”€β”€β”€β”Όβ”€β”€β”€β”Όβ”€β”€β”€β”Όβ”€β”€β”€β”Όβ”€β”€β”€β”€
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//! β”‚'n'β”‚00 β”‚00 β”‚00 β”‚01 β”‚
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//! β””β”€β”€β”€β”΄β”€β”€β”€β”΄β”€β”€β”€β”΄β”€β”€β”€β”΄β”€β”€β”€β”˜
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//! ```
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//!
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//! This approach is loosely inspired by [COBS] encoding, and chosen over more traditional
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//! [byte stuffing] as it is more amenable to vectorisation, in particular AVX-256.
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//!
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//! For the unordered row encoding we use a simpler scheme, we prepend the length
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//! encoded as 4 bytes followed by the raw data, with nulls being marked with a
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//! length of u32::MAX.
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//!
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//! ## Dictionary Encoding
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//!
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//! [`RowsEncoded`] needs to support converting dictionary encoded arrays with unsorted, and
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//! potentially distinct dictionaries. One simple mechanism to avoid this would be to reverse
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//! the dictionary encoding, and encode the array values directly, however, this would lose
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//! the benefits of dictionary encoding to reduce memory and CPU consumption.
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//!
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//! As such the [`RowsEncoded`] creates an order-preserving mapping
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//! for each dictionary encoded column, which allows new dictionary
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//! values to be added whilst preserving the sort order.
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//!
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//! A null dictionary value is encoded as `0_u8`.
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//!
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//! A non-null dictionary value is encoded as `1_u8` followed by a null-terminated byte array
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//! key determined by the order-preserving dictionary encoding
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//!
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//! ```text
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//! β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” β”Œβ”€β”€β”€β”€β”€β”
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//! β”‚ "Bar" β”‚ ───────────────▢│ 01 β”‚
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//! β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ β””β”€β”€β”€β”€β”€β”˜
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//! β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” β”Œβ”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”
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//! β”‚"Fabulous"β”‚ ───────────────▢│ 01 β”‚ 02 β”‚
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//! β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ β””β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
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//! β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” β”Œβ”€β”€β”€β”€β”€β”
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//! β”‚ "Soup" β”‚ ───────────────▢│ 05 β”‚
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//! β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ β””β”€β”€β”€β”€β”€β”˜
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//! β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” β”Œβ”€β”€β”€β”€β”€β”
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//! β”‚ "ZZ" β”‚ ───────────────▢│ 07 β”‚
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//! β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ β””β”€β”€β”€β”€β”€β”˜
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//!
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//! Example Order Preserving Mapping
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//! ```
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//! Using the map above, the corresponding row format will be
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//!
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//! ```text
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//! β”Œβ”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”
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//! "Fabulous" β”‚ 01 β”‚ 03 β”‚ 05 β”‚ 00 β”‚
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//! β””β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
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//!
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//! β”Œβ”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”
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//! "ZZ" β”‚ 01 β”‚ 07 β”‚ 00 β”‚
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//! β””β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”˜
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//!
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//! β”Œβ”€β”€β”€β”€β”€β”
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//! NULL β”‚ 00 β”‚
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//! β””β”€β”€β”€β”€β”€β”˜
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//!
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//! Input Row Format
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//! ```
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//!
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//! ## Struct Encoding
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//!
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//! A null is encoded as a `0_u8`.
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//!
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//! A valid value is encoded as `1_u8` followed by the row encoding of each child.
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//!
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//! This encoding effectively flattens the schema in a depth-first fashion.
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//!
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//! For example
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//!
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//! ```text
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//! β”Œβ”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”
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//! β”‚ Int32 β”‚ Struct[Int32, Float32] β”‚ Int32 β”‚
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//! β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”˜
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//! ```
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//!
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//! Is encoded as
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//!
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//! ```text
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//! β”Œβ”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”
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//! β”‚ Int32 β”‚ Null Sentinel β”‚ Int32 β”‚ Float32 β”‚ Int32 β”‚
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//! β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”˜
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//! ```
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//!
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//! ## List Encoding
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//!
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//! Lists are encoded by first encoding all child elements to the row format.
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//!
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//! A "canonical byte array" is then constructed by concatenating the row
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//! encodings of all their elements into a single binary array, followed
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//! by the lengths of each encoded row, and the number of elements, encoded
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//! as big endian `u32`.
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//!
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//! This canonical byte array is then encoded using the variable length byte
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//! encoding described above.
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//!
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//! _The lengths are not strictly necessary but greatly simplify decode, they
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//! may be removed in a future iteration_.
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//!
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//! For example given:
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//!
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//! ```text
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//! [1_u8, 2_u8, 3_u8]
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//! [1_u8, null]
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//! []
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//! null
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//! ```
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//!
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//! The elements would be converted to:
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//!
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//! ```text
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//! β”Œβ”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β” β”Œβ”€β”€β”¬β”€β”€β”
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//! 1 β”‚01β”‚01β”‚ 2 β”‚01β”‚02β”‚ 3 β”‚01β”‚03β”‚ 1 β”‚01β”‚01β”‚ null β”‚00β”‚00β”‚
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//! β””β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”˜ β””β”€β”€β”΄β”€β”€β”˜
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//!```
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//!
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//! Which would be grouped into the following canonical byte arrays:
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//!
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//! ```text
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//! β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”
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//! [1_u8, 2_u8, 3_u8] β”‚01β”‚01β”‚01β”‚02β”‚01β”‚03β”‚00β”‚00β”‚00β”‚02β”‚00β”‚00β”‚00β”‚02β”‚00β”‚00β”‚00β”‚02β”‚00β”‚00β”‚00β”‚03β”‚
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//! β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜
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//! └──── rows β”€β”€β”€β”€β”˜ └───────── row lengths β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ └─ count β”€β”˜
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//!
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//! β”Œβ”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”¬β”€β”€β”
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//! [1_u8, null] β”‚01β”‚01β”‚00β”‚00β”‚00β”‚00β”‚00β”‚02β”‚00β”‚00β”‚00β”‚02β”‚00β”‚00β”‚00β”‚02β”‚
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//! β””β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”΄β”€β”€β”˜
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//!```
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//!
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//! With `[]` represented by an empty byte array, and `null` a null byte array.
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//!
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//! These byte arrays will then be encoded using the variable length byte encoding
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//! described above.
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//!
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//! # Ordering
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//!
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//! ## Float Ordering
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//!
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//! Floats are totally ordered just like in the rest of Polars,
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//! -inf < neg < -0.0 = 0.0 < pos < inf < nan, with all nans being equal.
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//!
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//! ## Null Ordering
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//!
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//! The encoding described above will order nulls first, this can be inverted by representing
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//! nulls as `0xFF_u8` instead of `0_u8`
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//!
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//! ## Reverse Column Ordering
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//!
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//! The order of a given column can be reversed by negating the encoded bytes of non-null values
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//!
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//! [COBS]: https://en.wikipedia.org/wiki/Consistent_Overhead_Byte_Stuffing
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//! [byte stuffing]: https://en.wikipedia.org/wiki/High-Level_Data_Link_Control#Asynchronous_framing
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extern crate core;
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pub mod decode;
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pub mod encode;
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pub(crate) mod fixed;
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mod row;
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mod utils;
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pub(crate) mod variable;
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mod widths;
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use arrow::array::*;
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pub type ArrayRef = Box<dyn Array>;
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pub use encode::{
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convert_columns, convert_columns_amortized, convert_columns_amortized_no_order,
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convert_columns_no_order,
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};
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pub use row::{RowEncodingCategoricalContext, RowEncodingContext, RowEncodingOptions, RowsEncoded};
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