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The following commit(s) were added to refs/heads/production by this push:
new 7cf58a9 Sync site with format release v2.10.0
new 7bc0b28 Merge pull request #37 from wgtmac/sync_format_2.10.0
7cf58a9 is described below
commit 7cf58a9ec47d96608dfec9771179691301ede3ce
Author: Gang Wu <[email protected]>
AuthorDate: Sun Jan 14 20:32:15 2024 +0800
Sync site with format release v2.10.0
---
content/en/docs/Concepts/_index.md | 28 +-
content/en/docs/File Format/Data Pages/_index.md | 22 +-
.../en/docs/File Format/Data Pages/checksumming.md | 5 +-
.../en/docs/File Format/Data Pages/columnchunks.md | 15 +-
.../en/docs/File Format/Data Pages/compression.md | 84 ++++
.../en/docs/File Format/Data Pages/encodings.md | 143 ++++--
.../en/docs/File Format/Data Pages/encryption.md | 497 +++++++++++++++++++++
.../docs/File Format/Data Pages/errorrecovery.md | 14 +-
content/en/docs/File Format/Types/_index.md | 21 +-
content/en/docs/File Format/Types/logicaltypes.md | 8 +-
content/en/docs/File Format/_index.md | 46 +-
content/en/docs/File Format/bloomfilter.md | 335 ++++++++++++++
content/en/docs/File Format/configurations.md | 14 +-
content/en/docs/File Format/extensibility.md | 7 +-
content/en/docs/File Format/metadata.md | 3 +-
content/en/docs/File Format/nestedencoding.md | 10 +-
content/en/docs/File Format/nulls.md | 5 +-
content/en/docs/File Format/pageindex.md | 85 ++++
static/images/FileLayoutBloomFilter1.png | Bin 0 -> 44025 bytes
static/images/FileLayoutBloomFilter2.png | Bin 0 -> 34018 bytes
static/images/FileLayoutEncryptionEF.png | Bin 0 -> 81119 bytes
static/images/FileLayoutEncryptionPF.png | Bin 0 -> 79304 bytes
static/images/PageIndexLayout.png | Bin 0 -> 7442 bytes
23 files changed, 1250 insertions(+), 92 deletions(-)
diff --git a/content/en/docs/Concepts/_index.md
b/content/en/docs/Concepts/_index.md
index 2a0c385..ed32229 100644
--- a/content/en/docs/Concepts/_index.md
+++ b/content/en/docs/Concepts/_index.md
@@ -5,19 +5,29 @@ weight: 4
description: >
Glossary of relevant terminology.
---
-*Block (hdfs block)*: This means a block in hdfs and the meaning is unchanged
for describing this file format. The file format is designed to work well on
top of hdfs.
+ - *Block (HDFS block)*: This means a block in HDFS and the meaning is
+ unchanged for describing this file format. The file format is
+ designed to work well on top of HDFS.
-*File*: A hdfs file that must include the metadata for the file. It does not
need to actually contain the data.
+ - *File*: A HDFS file that must include the metadata for the file.
+ It does not need to actually contain the data.
-*Row group*: A logical horizontal partitioning of the data into rows. There is
no physical structure that is guaranteed for a row group. A row group consists
of a column chunk for each column in the dataset.
+ - *Row group*: A logical horizontal partitioning of the data into rows.
+ There is no physical structure that is guaranteed for a row group.
+ A row group consists of a column chunk for each column in the dataset.
-*Column chunk*: A chunk of the data for a particular column. These live in a
particular row group and is guaranteed to be contiguous in the file.
+ - *Column chunk*: A chunk of the data for a particular column. They live
+ in a particular row group and are guaranteed to be contiguous in the file.
-*Page*: Column chunks are divided up into pages. A page is conceptually an
indivisible unit (in terms of compression and encoding). There can be multiple
page types which is interleaved in a column chunk.
+ - *Page*: Column chunks are divided up into pages. A page is conceptually
+ an indivisible unit (in terms of compression and encoding). There can
+ be multiple page types which are interleaved in a column chunk.
-Hierarchically, a file consists of one or more row groups. A row group
contains exactly one column chunk per column. Column chunks contain one or more
pages.
+Hierarchically, a file consists of one or more row groups. A row group
+contains exactly one column chunk per column. Column chunks contain one or
+more pages.
## Unit of parallelization
-* MapReduce - File/Row Group
-* IO - Column chunk
-* Encoding/Compression - Page
+ - MapReduce - File/Row Group
+ - IO - Column chunk
+ - Encoding/Compression - Page
diff --git a/content/en/docs/File Format/Data Pages/_index.md
b/content/en/docs/File Format/Data Pages/_index.md
index 37b1c7f..816f56d 100644
--- a/content/en/docs/File Format/Data Pages/_index.md
+++ b/content/en/docs/File Format/Data Pages/_index.md
@@ -3,14 +3,24 @@ title: "Data Pages"
linkTitle: "Data Pages"
weight: 7
---
-For data pages, the 3 pieces of information are encoded back to back, after
the page header. We have the
+For data pages, the 3 pieces of information are encoded back to back, after
the page
+header. No padding is allowed in the data page.
+In order we have:
+ 1. repetition levels data
+ 1. definition levels data
+ 1. encoded values
-* definition levels data,
-* repetition levels data,
-* encoded values. The size of specified in the header is for all 3 pieces
combined.
+The value of `uncompressed_page_size` specified in the header is for all the 3
pieces combined.
-The data for the data page is always required. The definition and repetition
levels are optional, based on the schema definition. If the column is not
nested (i.e. the path to the column has length 1), we do not encode the
repetition levels (it would always have the value 1). For data that is
required, the definition levels are skipped (if encoded, it will always have
the value of the max definition level).
+The encoded values for the data page is always required. The definition and
repetition levels
+are optional, based on the schema definition. If the column is not nested
(i.e.
+the path to the column has length 1), we do not encode the repetition levels
(it would
+always have the value 1). For data that is required, the definition levels are
+skipped (if encoded, it will always have the value of the max definition
level).
-For example, in the case where the column is non-nested and required, the data
in the page is only the encoded values.
+For example, in the case where the column is non-nested and required, the data
in the
+page is only the encoded values.
The supported encodings are described in Encodings.md
+
+The supported compression codecs are described in Compression.md
diff --git a/content/en/docs/File Format/Data Pages/checksumming.md
b/content/en/docs/File Format/Data Pages/checksumming.md
index cca6574..de6c502 100644
--- a/content/en/docs/File Format/Data Pages/checksumming.md
+++ b/content/en/docs/File Format/Data Pages/checksumming.md
@@ -3,4 +3,7 @@ title: "Checksumming"
linkTitle: "Checksumming"
weight: 7
---
-Pages of all kinds can be individually checksummed. This allows disabling of
checksums at the HDFS file level, to better support single row lookups.
Checksums are calculated using the standard CRC32 algorithm - as used in e.g.
GZip - on the serialized binary representation of a page (not including the
page header itself).
+Pages of all kinds can be individually checksummed. This allows disabling of
checksums
+at the HDFS file level, to better support single row lookups. Checksums are
calculated
+using the standard CRC32 algorithm - as used in e.g. GZip - on the serialized
binary
+representation of a page (not including the page header itself).
diff --git a/content/en/docs/File Format/Data Pages/columnchunks.md
b/content/en/docs/File Format/Data Pages/columnchunks.md
index a8b52cd..4461ec1 100644
--- a/content/en/docs/File Format/Data Pages/columnchunks.md
+++ b/content/en/docs/File Format/Data Pages/columnchunks.md
@@ -3,4 +3,17 @@ title: "Column Chunks"
linkTitle: "Column Chunks"
weight: 7
---
-Column chunks are composed of pages written back to back. The pages share a
common header and readers can skip over page they are not interested in. The
data for the page follows the header and can be compressed and/or encoded. The
compression and encoding is specified in the page metadata.
+Column chunks are composed of pages written back to back. The pages share a
common
+header and readers can skip over pages they are not interested in. The data
for the
+page follows the header and can be compressed and/or encoded. The compression
and
+encoding is specified in the page metadata.
+
+A column chunk might be partly or completely dictionary encoded. It means that
+dictionary indexes are saved in the data pages instead of the actual values.
The
+actual values are stored in the dictionary page. See details in Encodings.md.
+The dictionary page must be placed at the first position of the column chunk.
At
+most one dictionary page can be placed in a column chunk.
+
+Additionally, files can contain an optional column index to allow readers to
+skip pages more efficiently. See PageIndex.md for details and
+the reasoning behind adding these to the format.
diff --git a/content/en/docs/File Format/Data Pages/compression.md
b/content/en/docs/File Format/Data Pages/compression.md
new file mode 100644
index 0000000..f448983
--- /dev/null
+++ b/content/en/docs/File Format/Data Pages/compression.md
@@ -0,0 +1,84 @@
+---
+title: "Compression"
+linkTitle: "Compression"
+weight: 1
+---
+
+## Overview
+
+Parquet allows the data block inside dictionary pages and data pages to
+be compressed for better space efficiency. The Parquet format supports
+several compression covering different areas in the compression ratio /
+processing cost spectrum.
+
+The detailed specifications of compression codecs are maintained externally
+by their respective authors or maintainers, which we reference hereafter.
+
+For all compression codecs except the deprecated `LZ4` codec, the raw data
+of a (data or dictionary) page is fed *as-is* to the underlying compression
+library, without any additional framing or padding. The information required
+for precise allocation of compressed and decompressed buffers is written
+in the `PageHeader` struct.
+
+## Codecs
+
+### UNCOMPRESSED
+
+No-op codec. Data is left uncompressed.
+
+### SNAPPY
+
+A codec based on the
+[Snappy compression
format](https://github.com/google/snappy/blob/master/format_description.txt).
+If any ambiguity arises when implementing this format, the implementation
+provided by Google Snappy [library](https://github.com/google/snappy/)
+is authoritative.
+
+### GZIP
+
+A codec based on the GZIP format (not the closely-related "zlib" or "deflate"
+formats) defined by [RFC 1952](https://tools.ietf.org/html/rfc1952).
+If any ambiguity arises when implementing this format, the implementation
+provided by the [zlib compression library](https://zlib.net/) is authoritative.
+
+Readers should support reading pages containing multiple GZIP members, however,
+as this has historically not been supported by all implementations, it is
recommended
+that writers refrain from creating such pages by default for better
interoperability.
+
+### LZO
+
+A codec based on or interoperable with the
+[LZO compression library](http://www.oberhumer.com/opensource/lzo/).
+
+### BROTLI
+
+A codec based on the Brotli format defined by
+[RFC 7932](https://tools.ietf.org/html/rfc7932).
+If any ambiguity arises when implementing this format, the implementation
+provided by the [Brotli compression library](https://github.com/google/brotli)
+is authoritative.
+
+### LZ4
+
+A **deprecated** codec loosely based on the LZ4 compression algorithm,
+but with an additional undocumented framing scheme. The framing is part
+of the original Hadoop compression library and was historically copied
+first in parquet-mr, then emulated with mixed results by parquet-cpp.
+
+It is strongly suggested that implementors of Parquet writers deprecate
+this compression codec in their user-facing APIs, and advise users to
+switch to the newer, interoperable `LZ4_RAW` codec.
+
+### ZSTD
+
+A codec based on the Zstandard format defined by
+[RFC 8478](https://tools.ietf.org/html/rfc8478). If any ambiguity arises
+when implementing this format, the implementation provided by the
+[ZStandard compression library](https://facebook.github.io/zstd/)
+is authoritative.
+
+### LZ4_RAW
+
+A codec based on the [LZ4 block
format](https://github.com/lz4/lz4/blob/dev/doc/lz4_Block_format.md).
+If any ambiguity arises when implementing this format, the implementation
+provided by the [LZ4 compression library](http://www.lz4.org/) is
authoritative.
diff --git a/content/en/docs/File Format/Data Pages/encodings.md
b/content/en/docs/File Format/Data Pages/encodings.md
index b224336..3ff8d05 100644
--- a/content/en/docs/File Format/Data Pages/encodings.md
+++ b/content/en/docs/File Format/Data Pages/encodings.md
@@ -4,7 +4,8 @@ linkTitle: "Encodings"
weight: 1
---
-### <a name="PLAIN"></a>Plain: (PLAIN = 0)
+<a name="PLAIN"></a>
+### Plain: (PLAIN = 0)
Supported Types: all
@@ -13,7 +14,7 @@ intended to be the simplest encoding. Values are encoded
back to back.
The plain encoding is used whenever a more efficient encoding can not be used.
It
stores the data in the following format:
- - BOOLEAN: [Bit Packed](#RLE), LSB first
+ - BOOLEAN: [Bit Packed](#BITPACKED), LSB first
- INT32: 4 bytes little endian
- INT64: 8 bytes little endian
- INT96: 12 bytes little endian (deprecated)
@@ -35,7 +36,7 @@ using the [RLE/Bit-Packing Hybrid](#RLE) encoding. If the
dictionary grows too b
or number of distinct values, the encoding will fall back to the plain
encoding. The dictionary page is
written first, before the data pages of the column chunk.
-Dictionary page format: the entries in the dictionary - in dictionary order -
using the [plain](#PLAIN) encoding.
+Dictionary page format: the entries in the dictionary using the
[plain](#PLAIN) encoding.
Data page format: the bit width used to encode the entry ids stored as 1 byte
(max bit width = 32),
followed by the values encoded using RLE/Bit packed described above (with the
given bit width).
@@ -43,13 +44,15 @@ followed by the values encoded using RLE/Bit packed
described above (with the gi
Using the PLAIN_DICTIONARY enum value is deprecated in the Parquet 2.0
specification. Prefer using RLE_DICTIONARY
in a data page and PLAIN in a dictionary page for Parquet 2.0+ files.
-### <a name="RLE"></a>Run Length Encoding / Bit-Packing Hybrid (RLE = 3)
+<a name="RLE"></a>
+### Run Length Encoding / Bit-Packing Hybrid (RLE = 3)
This encoding uses a combination of bit-packing and run length encoding to
more efficiently store repeated values.
The grammar for this encoding looks like this, given a fixed bit-width known
in advance:
```
rle-bit-packed-hybrid: <length> <encoded-data>
+// length is not always prepended, please check the table below for more detail
length := length of the <encoded-data> in bytes stored as 4 bytes little
endian (unsigned int32)
encoded-data := <run>*
run := <bit-packed-run> | <rle-run>
@@ -105,11 +108,29 @@ data:
* Dictionary indices
* Boolean values in data pages, as an alternative to PLAIN encoding
-### <a name="BITPACKED"></a>Bit-packed (Deprecated) (BIT_PACKED = 4)
+Whether prepending the four-byte `length` to the `encoded-data` is summarized
as the table below:
+```
++--------------+------------------------+-----------------+
+| Page kind | RLE-encoded data kind | Prepend length? |
++--------------+------------------------+-----------------+
+| Data page v1 | Definition levels | Y |
+| | Repetition levels | Y |
+| | Dictionary indices | N |
+| | Boolean values | Y |
++--------------+------------------------+-----------------+
+| Data page v2 | Definition levels | N |
+| | Repetition levels | N |
+| | Dictionary indices | N |
+| | Boolean values | Y |
++--------------+------------------------+-----------------+
+```
+
+<a name="BITPACKED"></a>
+### Bit-packed (Deprecated) (BIT_PACKED = 4)
This is a bit-packed only encoding, which is deprecated and will be replaced
by the [RLE/bit-packing](#RLE) hybrid encoding.
Each value is encoded back to back using a fixed width.
-There is no padding between values (except for the last byte) which is padded
with 0s.
+There is no padding between values (except for the last byte, which is padded
with 0s).
For example, if the max repetition level was 3 (2 bits) and the max definition
level as 3
(2 bits), to encode 30 values, we would have 30 * 2 = 60 bits = 8 bytes.
@@ -132,21 +153,31 @@ bit label: ABCDEFGH IJKLMNOP QRSTUVWX
Note that the BIT_PACKED encoding method is only supported for encoding
repetition and definition levels.
-### <a name="DELTAENC"></a>Delta Encoding (DELTA_BINARY_PACKED = 5)
+<a name="DELTAENC"></a>
+### Delta Encoding (DELTA_BINARY_PACKED = 5)
Supported Types: INT32, INT64
-This encoding is adapted from the Binary packing described in ["Decoding
billions of integers per second through
vectorization"](http://arxiv.org/pdf/1209.2137v5.pdf) by D. Lemire and L.
Boytsov.
+This encoding is adapted from the Binary packing described in
+["Decoding billions of integers per second through
vectorization"](http://arxiv.org/pdf/1209.2137v5.pdf)
+by D. Lemire and L. Boytsov.
-In delta encoding we make use of variable length integers for storing various
numbers (not the deltas themselves). For unsigned values, we use ULEB128, which
is the unsigned version of LEB128
(https://en.wikipedia.org/wiki/LEB128#Unsigned_LEB128). For signed values, we
use zigzag encoding
(https://developers.google.com/protocol-buffers/docs/encoding#signed-integers)
to map negative values to positive ones and apply ULEB128 on the result.
+In delta encoding we make use of variable length integers for storing various
+numbers (not the deltas themselves). For unsigned values, we use ULEB128,
+which is the unsigned version of LEB128
(https://en.wikipedia.org/wiki/LEB128#Unsigned_LEB128).
+For signed values, we use zigzag encoding
(https://developers.google.com/protocol-buffers/docs/encoding#signed-integers)
+to map negative values to positive ones and apply ULEB128 on the result.
-Delta encoding consists of a header followed by blocks of delta encoded values
binary packed. Each block is made of miniblocks, each of them binary packed
with its own bit width.
+Delta encoding consists of a header followed by blocks of delta encoded values
+binary packed. Each block is made of miniblocks, each of them binary packed
with its own bit width.
The header is defined as follows:
```
<block size in values> <number of miniblocks in a block> <total value count>
<first value>
```
* the block size is a multiple of 128; it is stored as a ULEB128 int
- * the miniblock count per block is a divisor of the block size such that
their quotient, the number of values in a miniblock, is a multiple of 32; it is
stored as a ULEB128 int
+ * the miniblock count per block is a divisor of the block size such that their
+ quotient, the number of values in a miniblock, is a multiple of 32; it is
+ stored as a ULEB128 int
* the total value count is stored as a ULEB128 int
* the first value is stored as a zigzag ULEB128 int
@@ -154,25 +185,53 @@ Each block contains
```
<min delta> <list of bitwidths of miniblocks> <miniblocks>
```
- * the min delta is a zigzag ULEB128 int (we compute a minimum as we need
positive integers for bit packing)
+ * the min delta is a zigzag ULEB128 int (we compute a minimum as we need
+ positive integers for bit packing)
* the bitwidth of each block is stored as a byte
- * each miniblock is a list of bit packed ints according to the bit width
stored at the begining of the block
+ * each miniblock is a list of bit packed ints according to the bit width
+ stored at the begining of the block
To encode a block, we will:
-1. Compute the differences between consecutive elements. For the first element
in the block, use the last element in the previous block or, in the case of the
first block, use the first value of the whole sequence, stored in the header.
-
-2. Compute the frame of reference (the minimum of the deltas in the block).
Subtract this min delta from all deltas in the block. This guarantees that all
values are non-negative.
-
-3. Encode the frame of reference (min delta) as a zigzag ULEB128 int followed
by the bit widths of the miniblocks and the delta values (minus the min delta)
bit packed per miniblock.
-
-Having multiple blocks allows us to adapt to changes in the data by changing
the frame of reference (the min delta) which can result in smaller values after
the subtraction which, again, means we can store them with a lower bit width.
-
-If there are not enough values to fill the last miniblock, we pad the
miniblock so that its length is always the number of values in a full miniblock
multiplied by the bit width. The values of the padding bits should be zero, but
readers must accept paddings consisting of arbitrary bits as well.
-
-If, in the last block, less than ```<number of miniblocks in a block>```
miniblocks are needed to store the values, the bytes storing the bit widths of
the unneeded miniblocks are still present, their value should be zero, but
readers must accept arbitrary values as well. There are no additional padding
bytes for the miniblock bodies though, as if their bit widths were 0
(regardless of the actual byte values). The reader knows when to stop reading
by keeping track of the number of values read.
+1. Compute the differences between consecutive elements. For the first
+ element in the block, use the last element in the previous block or, in
+ the case of the first block, use the first value of the whole sequence,
+ stored in the header.
+
+2. Compute the frame of reference (the minimum of the deltas in the block).
+ Subtract this min delta from all deltas in the block. This guarantees that
+ all values are non-negative.
+
+3. Encode the frame of reference (min delta) as a zigzag ULEB128 int followed
+ by the bit widths of the miniblocks and the delta values (minus the min
+ delta) bit-packed per miniblock.
+
+Having multiple blocks allows us to adapt to changes in the data by changing
+the frame of reference (the min delta) which can result in smaller values
+after the subtraction which, again, means we can store them with a lower bit
width.
+
+If there are not enough values to fill the last miniblock, we pad the miniblock
+so that its length is always the number of values in a full miniblock
multiplied
+by the bit width. The values of the padding bits should be zero, but readers
+must accept paddings consisting of arbitrary bits as well.
+
+If, in the last block, less than ```<number of miniblocks in a block>```
+miniblocks are needed to store the values, the bytes storing the bit widths
+of the unneeded miniblocks are still present, their value should be zero,
+but readers must accept arbitrary values as well. There are no additional
+padding bytes for the miniblock bodies though, as if their bit widths were 0
+(regardless of the actual byte values). The reader knows when to stop reading
+by keeping track of the number of values read.
+
+Subtractions in steps 1) and 2) may incur signed arithmetic overflow, and so
+will the corresponding additions when decoding. Overflow should be allowed
+and handled as wrapping around in 2's complement notation so that the original
+values are correctly restituted. This may require explicit care in some
programming
+languages (for example by doing all arithmetic in the unsigned domain).
+
+The following examples use 8 as the block size to keep the examples short,
+but in real cases it would be invalid.
-The following examples use 8 as the block size to keep the examples short, but
in real cases it would be invalid.
#### Example 1
1, 2, 3, 4, 5
@@ -180,7 +239,7 @@ After step 1), we compute the deltas as:
1, 1, 1, 1
-The minimum delta is 1 and after step 2, the deltas become
+The minimum delta is 1 and after step 2, the relative deltas become:
0, 0, 0, 0
@@ -189,7 +248,7 @@ The final encoded data is:
header:
8 (block size), 1 (miniblock count), 5 (value count), 1 (first value)
- block
+ block:
1 (minimum delta), 0 (bitwidth), (no data needed for bitwidth 0)
#### Example 2
@@ -206,7 +265,7 @@ The encoded data is
header:
8 (block size), 1 (miniblock count), 8 (value count), 7 (first value)
- block
+ block:
-2 (minimum delta), 2 (bitwidth), 00000011111111b (0,0,0,3,3,3,3 packed on 2
bits)
#### Characteristics
@@ -225,16 +284,19 @@ concatenated back to back. The expected savings is from
the cost of encoding the
and possibly better compression in the data (it is no longer interleaved with
the lengths).
The data stream looks like:
-
+```
<Delta Encoded Lengths> <Byte Array Data>
+```
-For example, if the data was "Hello", "World", "Foobar", "ABCDEF":
+For example, if the data was "Hello", "World", "Foobar", "ABCDEF"
-The encoded data would be DeltaEncoding(5, 5, 6, 6) "HelloWorldFoobarABCDEF"
+then the encoded data would be comprised of the following segments:
+- DeltaEncoding(5, 5, 6, 6) (the string lengths)
+- "HelloWorldFoobarABCDEF"
### Delta Strings: (DELTA_BYTE_ARRAY = 7)
-Supported Types: BYTE_ARRAY
+Supported Types: BYTE_ARRAY, FIXED_LEN_BYTE_ARRAY
This is also known as incremental encoding or front compression: for each
element in a
sequence of strings, store the prefix length of the previous entry plus the
suffix.
@@ -244,18 +306,31 @@ For a longer description, see
https://en.wikipedia.org/wiki/Incremental_encoding
This is stored as a sequence of delta-encoded prefix lengths
(DELTA_BINARY_PACKED), followed by
the suffixes encoded as delta length byte arrays (DELTA_LENGTH_BYTE_ARRAY).
+For example, if the data was "axis", "axle", "babble", "babyhood"
+
+then the encoded data would be comprised of the following segments:
+- DeltaEncoding(0, 2, 0, 3) (the prefix lengths)
+- DeltaEncoding(4, 2, 6, 5) (the suffix lengths)
+- "axislebabbleyhood"
+
+Note that, even for FIXED_LEN_BYTE_ARRAY, all lengths are encoded despite the
redundancy.
+
### Byte Stream Split: (BYTE_STREAM_SPLIT = 9)
-Supported Types: FLOAT DOUBLE
+Supported Types: FLOAT, DOUBLE
This encoding does not reduce the size of the data but can lead to a
significantly better
compression ratio and speed when a compression algorithm is used afterwards.
This encoding creates K byte-streams of length N where K is the size in bytes
of the data
-type and N is the number of elements in the data sequence.
+type and N is the number of elements in the data sequence. Specifically, K is
4 for FLOAT
+type and 8 for DOUBLE type.
The bytes of each value are scattered to the corresponding streams. The 0-th
byte goes to the
0-th stream, the 1-st byte goes to the 1-st stream and so on.
The streams are concatenated in the following order: 0-th stream, 1-st stream,
etc.
+The total length of encoded streams is K * N bytes. Because it does not have
any metadata
+to indicate the total length, the end of the streams is also the end of data
page. No padding
+is allowed inside the data page.
Example:
Original data is three 32-bit floats and for simplicity we look at their raw
representation.
diff --git a/content/en/docs/File Format/Data Pages/encryption.md
b/content/en/docs/File Format/Data Pages/encryption.md
new file mode 100644
index 0000000..e9fbd0f
--- /dev/null
+++ b/content/en/docs/File Format/Data Pages/encryption.md
@@ -0,0 +1,497 @@
+---
+title: "Parquet Modular Encryption"
+linkTitle: "Encryption"
+weight: 1
+---
+
+Parquet files containing sensitive information can be protected by the modular
encryption
+mechanism that encrypts and authenticates the file data and metadata - while
allowing
+for a regular Parquet functionality (columnar projection, predicate pushdown,
encoding
+and compression).
+
+## 1 Problem Statement
+Existing data protection solutions (such as flat encryption of files,
in-storage encryption,
+or use of an encrypting storage client) can be applied to Parquet files, but
have various
+security or performance issues. An encryption mechanism, integrated in the
Parquet format,
+allows for an optimal combination of data security, processing speed and
encryption granularity.
+
+## 2 Goals
+1. Protect Parquet data and metadata by encryption, while enabling selective
reads
+(columnar projection, predicate push-down).
+2. Implement "client-side" encryption/decryption (storage client). The storage
server
+must not see plaintext data, metadata or encryption keys.
+3. Leverage authenticated encryption that allows clients to check integrity of
the retrieved
+data - making sure the file (or file parts) have not been replaced with a
wrong version, or
+tampered with otherwise.
+4. Enable different encryption keys for different columns and for the footer.
+5. Allow for partial encryption - encrypt only column(s) with sensitive data.
+6. Work with all compression and encoding mechanisms supported in Parquet.
+7. Support multiple encryption algorithms, to account for different security
and performance
+requirements.
+8. Enable two modes for metadata protection -
+ * full protection of file metadata
+ * partial protection of file metadata that allows legacy readers to access
unencrypted
+columns in an encrypted file.
+9. Minimize overhead of encryption - in terms of size of encrypted files,
and throughput
+of write/read operations.
+
+
+## 3 Technical Approach
+Parquet files are comprised of separately serialized components: pages, page
headers, column
+indexes, offset indexes, bloom filter headers and bitsets, the footer. Parquet
encryption
+mechanism denotes them as “modules”
+and encrypts each module separately – making it possible to fetch and decrypt
the footer,
+find the offset of required pages, fetch the pages and decrypt the data. In
this document,
+the term “footer” always refers to the regular Parquet footer - the
`FileMetaData` structure,
+and its nested fields (row groups / column chunks).
+
+File encryption is flexible - each column and the footer can be encrypted with
the same key,
+with a different key, or not encrypted at all.
+
+The results of compression of column pages are encrypted before being written
to the output
+stream. A new Thrift structure, with column crypto metadata, is added to
column chunks of
+the encrypted columns. This metadata provides information about the column
encryption keys.
+
+The results of serialization of Thrift structures are encrypted, before being
written
+to the output stream.
+
+The file footer can be either encrypted or left as a plaintext. In an
encrypted footer mode,
+a new Thrift structure with file crypto metadata is added to the file. This
metadata provides
+information about the file encryption algorithm and the footer encryption key.
+
+In a plaintext footer mode, the contents of the footer structure is visible
and signed
+in order to verify its integrity. New footer fields keep an
+information about the file encryption algorithm and the footer signing key.
+
+For encrypted columns, the following modules are always encrypted, with the
same column key:
+pages and page headers (both dictionary and data), column indexes, offset
indexes, bloom filter
+headers and bitsets. If the
+column key is different from the footer encryption key, the column metadata is
serialized
+separately and encrypted with the column key. In this case, the column
metadata is also
+considered to be a module.
+
+## 4 Encryption Algorithms and Keys
+Parquet encryption algorithms are based on the standard AES ciphers for
symmetric encryption.
+AES is supported in Intel and other CPUs with hardware acceleration of crypto
operations
+(“AES-NI”) - that can be leveraged, for example, by Java programs
(automatically via HotSpot),
+or C++ programs (via EVP-* functions in OpenSSL). Parquet supports all
standard AES key sizes:
+128, 192 and 256 bits.
+
+Initially, two algorithms have been implemented, one based on a GCM mode of
AES, and the
+other on a combination of GCM and CTR modes.
+
+### 4.1 AES modes used in Parquet
+
+#### 4.1.1 AES GCM
+AES GCM is an authenticated encryption. Besides the data confidentiality
(encryption), it
+supports two levels of integrity verification (authentication): of the data
(default),
+and of the data combined with an optional AAD (“additional authenticated
data”). The
+authentication allows to make sure the data has not been tampered with. An AAD
+is a free text to be authenticated, together with the data. The user can, for
example, pass the
+file name with its version (or creation timestamp) as an AAD input, to verify
that the
+file has not been replaced with an older version. The details on how Parquet
creates
+and uses AADs are provided in the section 4.4.
+
+#### 4.1.2 AES CTR
+AES CTR is a regular (not authenticated) cipher. It is faster than the GCM
cipher, since it
+doesn’t perform integrity verification and doesn’t calculate an authentication
tag.
+Actually, GCM is a combination of the CTR cipher and an
+authentication layer called GMAC. For applications running without AES
acceleration
+(e.g. on Java versions before Java 9) and willing to compromise on content
verification,
+CTR cipher can provide a boost in encryption/decryption throughput.
+
+
+#### 4.1.3 Nonces and IVs
+GCM and CTR ciphers require a unique vector to be provided for each encrypted
stream.
+In this document, the unique input to GCM encryption is called nonce (“number
used once”).
+The unique input to CTR encryption is called IV ("initialization vector"), and
is comprised of two
+parts: a nonce and an initial counter field.
+
+Parquet encryption uses the RBG-based (random bit generator) nonce
construction as defined in
+the section 8.2.2 of the NIST SP 800-38D document. For each encrypted module,
Parquet generates a
+unique nonce with a length of 12 bytes (96 bits). Notice: the NIST
+specification uses a term “IV” for what is called “nonce” in the Parquet
encryption design.
+
+
+### 4.2 Parquet encryption algorithms
+
+#### 4.2.1 AES_GCM_V1
+This Parquet algorithm encrypts all modules by the GCM cipher, without
padding. The AES GCM cipher
+must be implemented by a cryptographic provider according to the NIST SP
800-38D specification.
+
+In Parquet, an input to the GCM cipher is an encryption key, a 12-byte nonce,
a plaintext and an
+AAD. The output is a ciphertext with the length equal to that of plaintext,
and a 16-byte authentication
+tag used to verify the ciphertext and AAD integrity.
+
+
+#### 4.2.2 AES_GCM_CTR_V1
+In this Parquet algorithm, all modules except pages are encrypted with the GCM
cipher, as described
+above. The pages are encrypted by the CTR cipher without padding. This allows
to encrypt/decrypt
+the bulk of the data faster, while still verifying the metadata integrity and
making
+sure the file has not been replaced with a wrong version. However, tampering
with the
+page data might go unnoticed. The AES CTR cipher
+must be implemented by a cryptographic provider according to the NIST SP
800-38A specification.
+
+In Parquet, an input to the CTR cipher is an encryption key, a 16-byte IV and
a plaintext. IVs are comprised of
+a 12-byte nonce and a 4-byte initial counter field. The first 31 bits of the
initial counter field are set
+to 0, the last bit is set to 1. The output is a ciphertext with the length
equal to that of plaintext.
+
+### 4.3 Key metadata
+A wide variety of services and tools for management of encryption keys exist
in the
+industry today. Public clouds offer different key management services (KMS),
and
+organizational IT systems either build proprietary key managers in-house or
adopt open source
+tools for on-premises deployment. Besides the diversity of management tools,
there are many
+ways to generate and handle the keys themselves (generate Data keys inside KMS
– or locally
+upon data encryption; use Data keys only, or use Master keys to encrypt the
Data keys;
+store the encrypted key material inside the data file, or at a separate
location; etc). There
+is also a large variety of authorization and certification methods, required
to control the
+access to encryption keys.
+
+Parquet is not limited to a single KMS, key generation/wrapping method, or
authorization service.
+Instead, Parquet provides a developer with a simple interface that can be
utilized for implementation
+of any key management scheme. For each column or footer key, a file writer can
generate and pass an
+arbitrary `key_metadata` byte array that will be stored in the file. This
field is made available to
+file readers to enable recovery of the key. For example, the key_metadata
+can keep a serialized
+
+ * String ID of a Data key. This enables direct retrieval of the Data key
from a KMS.
+ * Encrypted Data key, and string ID of a Master key. The Data key is
generated randomly and
+ encrypted with a Master key either remotely in a KMS, or locally after
retrieving the Master key from a KMS.
+ Master key rotation requires modification of the data file footer.
+ * Short ID (counter) of a Data key inside the Parquet data file. The Data
key is encrypted with a
+ Master key using one of the options described above – but the resulting key
material is stored
+ separately, outside the data file, and will be retrieved using the counter
and file path.
+ Master key rotation doesn't require modification of the data file.
+
+Key metadata can also be empty - in a case the encryption keys are fully
managed by the caller
+code, and passed explicitly to Parquet readers for the file footer and each
encrypted column.
+
+### 4.4 Additional Authenticated Data
+The AES GCM cipher protects against byte replacement inside a ciphertext -
but, without an AAD,
+it can't prevent replacement of one ciphertext with another (encrypted with
the same key).
+Parquet modular encryption leverages AADs to protect against swapping
ciphertext modules (encrypted
+with AES GCM) inside a file or between files. Parquet can also protect against
swapping full
+files - for example, replacement of a file with an old version, or replacement
of one table
+partition with another. AADs are built to reflects the identity of a file and
of the modules
+inside the file.
+
+Parquet constructs a module AAD from two components: an optional AAD prefix -
a string provided
+by the user for the file, and an AAD suffix, built internally for each
GCM-encrypted module
+inside the file. The AAD prefix should reflect the target identity that helps
to detect file
+swapping (a simple example - table name with a date and partition, e.g.
"employees_23May2018.part0").
+The AAD suffix reflects the internal identity of modules inside the file,
which for example
+prevents replacement of column pages in row group 0 by pages from the same
column in row
+group 1. The module AAD is a direct concatenation of the prefix and suffix
parts.
+
+#### 4.4.1 AAD prefix
+File swapping can be prevented by an AAD prefix string, that uniquely
identifies the file and
+allows to differentiate it e.g. from older versions of the file or from other
partition files in the same
+data set (table). This string is optionally passed by a writer upon file
creation. If provided,
+the AAD prefix is stored in an `aad_prefix` field in the file, and is made
available to the readers.
+This field is not encrypted. If a user is concerned about keeping the file
identity inside the file,
+the writer code can explicitly request Parquet not to store the AAD prefix.
Then the aad_prefix field
+will be empty; AAD prefixes must be fully managed by the caller code and
supplied explictly to Parquet
+readers for each file.
+
+The protection against swapping full files is optional. It is not enabled by
default because
+it requires the writers to generate and pass an AAD prefix.
+
+A reader of a file created with an AAD prefix, should be able to verify the
prefix (file identity)
+by comparing it with e.g. the target table name, using a convention accepted
in the organization.
+Readers of data sets, comprised of multiple partition files, can verify data
set integrity by
+checking the number of files and the AAD prefix of each file. For example, a
reader that needs to
+process the employee table, a May 23 version, knows (via the convention) that
+the AAD prefix must be "employees_23May2018.partN" in
+each corresponding table file. If a file AAD prefix is
"employees_23May2018.part0", the reader
+will know it is fine, but if the prefix is "employees_23May2016.part0" or
"contractors_23May2018.part0" -
+the file is wrong. The reader should also know the number of table partitions
and verify availability
+of all partition files (prefixes) from 0 to N-1.
+
+
+#### 4.4.2 AAD suffix
+The suffix part of a module AAD protects against module swapping inside a
file. It also protects against
+module swapping between files - in situations when an encryption key is
re-used in multiple files and the
+writer has not provided a unique AAD prefix for each file.
+
+Unlike AAD prefix, a suffix is built internally by Parquet, by direct
concatenation of the following parts:
+1. [All modules] internal file identifier - a random byte array generated
for each file (implementation-defined length)
+2. [All modules] module type (1 byte)
+3. [All modules except footer] row group ordinal (2 byte short, little
endian)
+4. [All modules except footer] column ordinal (2 byte short, little endian)
+5. [Data page and header only] page ordinal (2 byte short, little endian)
+
+The following module types are defined:
+
+ * Footer (0)
+ * ColumnMetaData (1)
+ * Data Page (2)
+ * Dictionary Page (3)
+ * Data PageHeader (4)
+ * Dictionary PageHeader (5)
+ * ColumnIndex (6)
+ * OffsetIndex (7)
+ * BloomFilter Header (8)
+ * BloomFilter Bitset (9)
+
+
+| | Internal File ID | Module type | Row group ordinal |
Column ordinal | Page ordinal|
+|----------------------|------------------|-------------|-------------------|----------------|-------------|
+| Footer | yes | yes (0) | no |
no | no |
+| ColumnMetaData | yes | yes (1) | yes |
yes | no |
+| Data Page | yes | yes (2) | yes |
yes | yes |
+| Dictionary Page | yes | yes (3) | yes |
yes | no |
+| Data PageHeader | yes | yes (4) | yes |
yes | yes |
+| Dictionary PageHeader| yes | yes (5) | yes |
yes | no |
+| ColumnIndex | yes | yes (6) | yes |
yes | no |
+| OffsetIndex | yes | yes (7) | yes |
yes | no |
+| BloomFilter Header | yes | yes (8) | yes |
yes | no |
+| BloomFilter Bitset | yes | yes (9) | yes |
yes | no |
+
+
+
+## 5 File Format
+
+### 5.1 Encrypted module serialization
+All modules, except column pages, are encrypted with the GCM cipher. In the
AES_GCM_V1 algorithm,
+the column pages are also encrypted with AES GCM. For each module, the GCM
encryption
+buffer is comprised of a nonce, ciphertext and tag, described in the
Algorithms section. The length of
+the encryption buffer (a 4-byte little endian) is written to the output
stream, followed by the buffer itself.
+
+|length (4 bytes) | nonce (12 bytes) | ciphertext (length-28 bytes) | tag (16
bytes) |
+|-----------------|------------------|------------------------------|----------------|
+
+In the AES_GCM_CTR_V1 algorithm, the column pages are encrypted with AES CTR.
+For each page, the CTR encryption buffer is comprised of a nonce and
ciphertext,
+described in the Algorithms section. The length of the encryption buffer
+(a 4-byte little endian) is written to the output stream, followed by the
buffer itself.
+
+|length (4 bytes) | nonce (12 bytes) | ciphertext (length-12 bytes) |
+|-----------------|------------------|------------------------------|
+
+### 5.2 Crypto structures
+Parquet file encryption algorithm is specified in a union of the following
Thrift structures:
+
+```c
+struct AesGcmV1 {
+ /** AAD prefix **/
+ 1: optional binary aad_prefix
+
+ /** Unique file identifier part of AAD suffix **/
+ 2: optional binary aad_file_unique
+
+ /** In files encrypted with AAD prefix without storing it,
+ * readers must supply the prefix **/
+ 3: optional bool supply_aad_prefix
+}
+
+struct AesGcmCtrV1 {
+ /** AAD prefix **/
+ 1: optional binary aad_prefix
+
+ /** Unique file identifier part of AAD suffix **/
+ 2: optional binary aad_file_unique
+
+ /** In files encrypted with AAD prefix without storing it,
+ * readers must supply the prefix **/
+ 3: optional bool supply_aad_prefix
+}
+
+union EncryptionAlgorithm {
+ 1: AesGcmV1 AES_GCM_V1
+ 2: AesGcmCtrV1 AES_GCM_CTR_V1
+}
+```
+
+If a writer provides an AAD prefix, it will be used for enciphering the file
and stored in the
+`aad_prefix` field. However, the writer can request Parquet not to store the
prefix in the file. In
+this case, the `aad_prefix` field will not be set, and the `supply_aad_prefix`
field will be set
+to _true_ to inform readers they must supply the AAD prefix for this file in
order to be able to
+decrypt it.
+
+The row group ordinal, required for AAD suffix calculation, is set in the
RowGroup structure:
+
+```c
+struct RowGroup {
+...
+ /** Row group ordinal in the file **/
+ 7: optional i16 ordinal
+}
+```
+
+A `crypto_metadata` field is set in each ColumnChunk in the encrypted columns.
ColumnCryptoMetaData
+is a union - the actual structure is chosen depending on whether the column is
encrypted with the
+footer encryption key, or with a column-specific key. For the latter, a key
metadata can be specified.
+
+```c
+struct EncryptionWithFooterKey {
+}
+
+struct EncryptionWithColumnKey {
+ /** Column path in schema **/
+ 1: required list<string> path_in_schema
+
+ /** Retrieval metadata of column encryption key **/
+ 2: optional binary key_metadata
+}
+
+union ColumnCryptoMetaData {
+ 1: EncryptionWithFooterKey ENCRYPTION_WITH_FOOTER_KEY
+ 2: EncryptionWithColumnKey ENCRYPTION_WITH_COLUMN_KEY
+}
+
+struct ColumnChunk {
+...
+ /** Crypto metadata of encrypted columns **/
+ 8: optional ColumnCryptoMetaData crypto_metadata
+}
+```
+
+
+### 5.3 Protection of sensitive metadata
+The Parquet file footer, and its nested structures, contain sensitive
information - ranging
+from a secret data (column statistics) to other information that can be
exploited by an
+attacker (e.g. schema, num_values, key_value_metadata, encoding
+and crypto_metadata). This information is automatically protected when the
footer and
+secret columns are encrypted with the same key. In other cases - when
column(s) and the
+footer are encrypted with different keys; or column(s) are encrypted and the
footer is not,
+an extra measure is required to protect the column-specific information in the
file footer.
+In these cases, the `ColumnMetaData` structures are Thrift-serialized
separately and encrypted
+with a column-specific key, thus protecting the column stats and
+other metadata. The column metadata module is encrypted with the GCM cipher,
serialized
+according to the section 5.1 instructions and stored in an `optional binary
encrypted_column_metadata`
+field in the `ColumnChunk`.
+
+```c
+struct ColumnChunk {
+...
+
+ /** Column metadata for this chunk.. **/
+ 3: optional ColumnMetaData meta_data
+..
+ /** Crypto metadata of encrypted columns **/
+ 8: optional ColumnCryptoMetaData crypto_metadata
+
+ /** Encrypted column metadata for this chunk **/
+ 9: optional binary encrypted_column_metadata
+}
+```
+
+
+### 5.4 Encrypted footer mode
+In files with sensitive column data, a good security practice is to encrypt
not only the
+secret columns, but also the file footer metadata. This hides the file schema,
+number of rows, key-value properties, column sort order, names of the
encrypted columns
+and metadata of the column encryption keys.
+
+The columns encrypted with the same key as the footer must leave the column
metadata at the original
+location, `optional ColumnMetaData meta_data` in the `ColumnChunk` structure.
+This field is not set for columns encrypted with a column-specific key -
instead, the `ColumnMetaData`
+is Thrift-serialized, encrypted with the column key and written to the
`encrypted_column_metadata`
+field in the `ColumnChunk` structure, as described in the section 5.3.
+
+A Thrift-serialized `FileCryptoMetaData` structure is written before the
encrypted footer.
+It contains information on the file encryption algorithm and on the footer key
metadata. Then
+the combined length of this structure and of the encrypted footer is written
as a 4-byte
+little endian integer, followed by a final magic string, "PARE". The same
magic bytes are
+written at the beginning of the file (offset 0). Parquet readers start file
parsing by
+reading and checking the magic string. Therefore, the encrypted footer mode
uses a new
+magic string ("PARE") in order to instruct readers to look for a file crypto
metadata
+before the footer - and also to immediately inform legacy readers (expecting
‘PAR1’
+bytes) that they can’t parse this file.
+
+```c
+/** Crypto metadata for files with encrypted footer **/
+struct FileCryptoMetaData {
+ /**
+ * Encryption algorithm. This field is only used for files
+ * with encrypted footer. Files with plaintext footer store algorithm id
+ * inside footer (FileMetaData structure).
+ */
+ 1: required EncryptionAlgorithm encryption_algorithm
+
+ /** Retrieval metadata of key used for encryption of footer,
+ * and (possibly) columns **/
+ 2: optional binary key_metadata
+}
+```
+
+ 
+
+
+### 5.5 Plaintext footer mode
+This mode allows legacy Parquet versions (released before the encryption
support) to access
+unencrypted columns in encrypted files - at a price of leaving certain
metadata fields
+unprotected in these files.
+
+The plaintext footer mode can be useful during a transitional period in
organizations where
+some frameworks can't be upgraded to a new Parquet library for a while. Data
writers will
+upgrade and run with a new Parquet version, producing encrypted files in this
mode. Data
+readers working with sensitive data will also upgrade to a new Parquet
library. But other
+readers that don't need the sensitive columns, can continue working with an
older Parquet
+version. They will be able to access plaintext columns in encrypted files. A
legacy reader,
+trying to access a sensitive column data in an encrypted file with a plaintext
footer, will
+get an exception. More specifically, a Thrift parsing exception on an
encrypted page header
+structure. Again, using legacy Parquet readers for encrypted files is a
temporary solution.
+
+In the plaintext footer mode, the `optional ColumnMetaData meta_data` is set
in the `ColumnChunk`
+structure for all columns, but is stripped of the statistics for the sensitive
(encrypted)
+columns. These statistics are available for new readers with the column key -
they decrypt
+the `encrypted_column_metadata` field, described in the section 5.3, and parse
it to get statistics
+and all other column metadata values. The legacy readers are not aware of the
encrypted metadata field;
+they parse the regular (plaintext) field as usual. While they can't read the
data of encrypted
+columns, they read their metadata to extract the offset and size of encrypted
column data,
+required for column chunk vectorization.
+
+The plaintext footer is signed in order to prevent tampering with the
+`FileMetaData` contents. The footer signing is done by encrypting the
serialized `FileMetaData`
+structure with the
+AES GCM algorithm - using a footer signing key, and an AAD constructed
according to the instructions
+of the section 4.4. Only the nonce and GCM tag are stored in the file – as a
28-byte
+fixed-length array, written right after the footer itself. The ciphertext is
not stored,
+because it is not required for footer integrity verification by readers.
+
+| nonce (12 bytes) | tag (16 bytes) |
+|------------------|-----------------|
+
+
+The plaintext footer mode sets the following fields in the the FileMetaData
structure:
+
+```c
+struct FileMetaData {
+...
+ /**
+ * Encryption algorithm. This field is set only in encrypted files
+ * with plaintext footer. Files with encrypted footer store algorithm id
+ * in FileCryptoMetaData structure.
+ */
+ 8: optional EncryptionAlgorithm encryption_algorithm
+
+ /**
+ * Retrieval metadata of key used for signing the footer.
+ * Used only in encrypted files with plaintext footer.
+ */
+ 9: optional binary footer_signing_key_metadata
+}
+```
+
+The `FileMetaData` structure is Thrift-serialized and written to the output
stream.
+The 28-byte footer signature is written after the plaintext footer, followed
by a 4-byte little endian integer
+that contains the combined length of the footer and its signature. A final
magic string,
+"PAR1", is written at the end of the
+file. The same magic string is written at the beginning of the file (offset
0). The magic bytes
+for plaintext footer mode are ‘PAR1’ to allow legacy readers to read
projections of the file
+that do not include encrypted columns.
+
+ 
+
+## 6. Encryption Overhead
+The size overhead of Parquet modular encryption is negligible, since most of
the encryption
+operations are performed on pages (the minimal unit of Parquet data storage
and compression).
+The overhead order of magnitude is adding 1 byte per each ~30,000 bytes of
original
+data - calculated by comparing the page encryption overhead (nonce + tag +
length = 32 bytes)
+to the default page size (1 MB). This is a rough estimation, and can change
with the encryption
+algorithm (no 16-byte tag in AES_GCM_CTR_V1) and with page configuration or
data encoding/compression.
+
+The throughput overhead of Parquet modular encryption depends on whether AES
enciphering is
+done in software or hardware. In both cases, performing encryption on full
pages (~1MB buffers)
+instead of on much smaller individual data values causes AES to work at its
maximal speed.
diff --git a/content/en/docs/File Format/Data Pages/errorrecovery.md
b/content/en/docs/File Format/Data Pages/errorrecovery.md
index d1a3ac4..d84b90a 100644
--- a/content/en/docs/File Format/Data Pages/errorrecovery.md
+++ b/content/en/docs/File Format/Data Pages/errorrecovery.md
@@ -3,6 +3,16 @@ title: "Error Recovery"
linkTitle: "Error Recovery"
weight: 7
---
-If the file metadata is corrupt, the file is lost. If the column metadata is
corrupt, that column chunk is lost (but column chunks for this column in other
row groups are okay). If a page header is corrupt, the remaining pages in that
chunk are lost. If the data within a page is corrupt, that page is lost. The
file will be more resilient to corruption with smaller row groups.
+If the file metadata is corrupt, the file is lost. If the column metadata is
corrupt,
+that column chunk is lost (but column chunks for this column in other row
groups are
+okay). If a page header is corrupt, the remaining pages in that chunk are
lost. If
+the data within a page is corrupt, that page is lost. The file will be more
+resilient to corruption with smaller row groups.
-Potential extension: With smaller row groups, the biggest issue is placing the
file metadata at the end. If an error happens while writing the file metadata,
all the data written will be unreadable. This can be fixed by writing the file
metadata every Nth row group. Each file metadata would be cumulative and
include all the row groups written so far. Combining this with the strategy
used for orc or avro files using sync markers, a reader could recover partially
written files.
+Potential extension: With smaller row groups, the biggest issue is placing the
file
+metadata at the end. If an error happens while writing the file metadata, all
the
+data written will be unreadable. This can be fixed by writing the file
metadata
+every Nth row group.
+Each file metadata would be cumulative and include all the row groups written
so
+far. Combining this with the strategy used for rc or avro files using sync
markers,
+a reader could recover partially written files.
diff --git a/content/en/docs/File Format/Types/_index.md b/content/en/docs/File
Format/Types/_index.md
index a58e713..a079888 100644
--- a/content/en/docs/File Format/Types/_index.md
+++ b/content/en/docs/File Format/Types/_index.md
@@ -4,14 +4,19 @@ linkTitle: "Types"
weight: 5
---
-The types supported by the file format are intended to be as minimal as
possible, with a focus on how the types effect on disk storage. For example,
16-bit ints are not explicitly supported in the storage format since they are
covered by 32-bit ints with an efficient encoding. This reduces the complexity
of implementing readers and writers for the format. The types are:
+The types supported by the file format are intended to be as minimal as
possible,
+with a focus on how the types effect on disk storage. For example, 16-bit ints
+are not explicitly supported in the storage format since they are covered by
+32-bit ints with an efficient encoding. This reduces the complexity of
implementing
+readers and writers for the format. The types are:
```
-BOOLEAN: 1 bit boolean
-INT32: 32 bit signed ints
-INT64: 64 bit signed ints
-INT96: 96 bit signed ints
-FLOAT: IEEE 32-bit floating point values
-DOUBLE: IEEE 64-bit floating point values
-BYTE_ARRAY: arbitrarily long byte arrays.
+ - BOOLEAN: 1 bit boolean
+ - INT32: 32 bit signed ints
+ - INT64: 64 bit signed ints
+ - INT96: 96 bit signed ints
+ - FLOAT: IEEE 32-bit floating point values
+ - DOUBLE: IEEE 64-bit floating point values
+ - BYTE_ARRAY: arbitrarily long byte arrays
+ - FIXED_LEN_BYTE_ARRAY: fixed length byte arrays
```
diff --git a/content/en/docs/File Format/Types/logicaltypes.md
b/content/en/docs/File Format/Types/logicaltypes.md
index e41c2e4..cd610a8 100644
--- a/content/en/docs/File Format/Types/logicaltypes.md
+++ b/content/en/docs/File Format/Types/logicaltypes.md
@@ -4,4 +4,10 @@ linkTitle: "Logical Types"
weight: 5
---
-Logical types are used to extend the types that parquet can be used to store,
by specifying how the primitive types should be interpreted. This keeps the set
of primitive types to a minimum and reuses parquet’s efficient encodings. For
example, strings are stored as byte arrays (binary) with a UTF8 annotation.
These annotations define how to further decode and interpret the data.
Annotations are stored as a ConvertedType in the file metadata and are
documented in LogicalTypes.md.
+Logical types are used to extend the types that parquet can be used to store,
+by specifying how the primitive types should be interpreted. This keeps the set
+of primitive types to a minimum and reuses parquet's efficient encodings. For
+example, strings are stored as byte arrays (binary) with a UTF8 annotation.
+These annotations define how to further decode and interpret the data.
+Annotations are stored as `LogicalType` fields in the file metadata and are
+documented in LogicalTypes.md.
diff --git a/content/en/docs/File Format/_index.md b/content/en/docs/File
Format/_index.md
index c035857..7d49ccb 100644
--- a/content/en/docs/File Format/_index.md
+++ b/content/en/docs/File Format/_index.md
@@ -10,30 +10,36 @@ description: >
This file and the thrift definition should be read together to understand the
format.
```
-4-byte magic number "PAR1"
-<Column 1 Chunk 1 + Column Metadata>
-<Column 2 Chunk 1 + Column Metadata>
-...
-<Column N Chunk 1 + Column Metadata>
-<Column 1 Chunk 2 + Column Metadata>
-<Column 2 Chunk 2 + Column Metadata>
-...
-<Column N Chunk 2 + Column Metadata>
-...
-<Column 1 Chunk M + Column Metadata>
-<Column 2 Chunk M + Column Metadata>
-...
-<Column N Chunk M + Column Metadata>
-File Metadata
-4-byte length in bytes of file metadata
-4-byte magic number "PAR1"
+ 4-byte magic number "PAR1"
+ <Column 1 Chunk 1 + Column Metadata>
+ <Column 2 Chunk 1 + Column Metadata>
+ ...
+ <Column N Chunk 1 + Column Metadata>
+ <Column 1 Chunk 2 + Column Metadata>
+ <Column 2 Chunk 2 + Column Metadata>
+ ...
+ <Column N Chunk 2 + Column Metadata>
+ ...
+ <Column 1 Chunk M + Column Metadata>
+ <Column 2 Chunk M + Column Metadata>
+ ...
+ <Column N Chunk M + Column Metadata>
+ File Metadata
+ 4-byte length in bytes of file metadata (little endian)
+ 4-byte magic number "PAR1"
```
-In the above example, there are N columns in this table, split into M row
groups. The file metadata contains the locations of all the column metadata
start locations. More details on what is contained in the metadata can be found
in the thrift files.
+In the above example, there are N columns in this table, split into M row
+groups. The file metadata contains the locations of all the column metadata
+start locations. More details on what is contained in the metadata can be
found
+in the Thrift definition.
Metadata is written after the data to allow for single pass writing.
-Readers are expected to first read the file metadata to find all the column
chunks they are interested in. The columns chunks should then be read
sequentially.
+Readers are expected to first read the file metadata to find all the column
+chunks they are interested in. The columns chunks should then be read
sequentially.
-The format is explicitly designed to separate the metadata from the data. This
allows splitting columns into multiple files, as well as having a single
metadata file reference multiple parquet files.
+The format is explicitly designed to separate the metadata from the data. This
+allows splitting columns into multiple files, as well as having a single
metadata
+file reference multiple parquet files.

diff --git a/content/en/docs/File Format/bloomfilter.md b/content/en/docs/File
Format/bloomfilter.md
new file mode 100644
index 0000000..e4203b4
--- /dev/null
+++ b/content/en/docs/File Format/bloomfilter.md
@@ -0,0 +1,335 @@
+---
+title: "Bloom Filter"
+linkTitle: "Bloom Filter"
+weight: 7
+---
+### Problem statement
+In their current format, column statistics and dictionaries can be used for
predicate
+pushdown. Statistics include minimum and maximum value, which can be used to
filter out
+values not in the range. Dictionaries are more specific, and readers can
filter out values
+that are between min and max but not in the dictionary. However, when there
are too many
+distinct values, writers sometimes choose not to add dictionaries because of
the extra
+space they occupy. This leaves columns with large cardinalities and widely
separated min
+and max without support for predicate pushdown.
+
+A [Bloom filter](https://en.wikipedia.org/wiki/Bloom_filter) is a compact data
structure that
+overapproximates a set. It can respond to membership queries with either
"definitely no" or
+"probably yes", where the probability of false positives is configured when
the filter is
+initialized. Bloom filters do not have false negatives.
+
+Because Bloom filters are small compared to dictionaries, they can be used for
predicate
+pushdown even in columns with high cardinality and when space is at a premium.
+
+### Goal
+* Enable predicate pushdown for high-cardinality columns while using less
space than
+ dictionaries.
+
+* Induce no additional I/O overhead when executing queries on columns without
Bloom
+ filters attached or when executing non-selective queries.
+
+### Technical Approach
+
+The section describes split block Bloom filters, which is the first
+(and, at time of writing, only) Bloom filter representation supported
+in Parquet.
+
+First we will describe a "block". This is the main component split
+block Bloom filters are composed of.
+
+Each block is 256 bits, broken up into eight contiguous "words", each
+consisting of 32 bits. Each word is thought of as an array of bits;
+each bit is either "set" or "not set".
+
+When initialized, a block is "empty", which means each of the eight
+component words has no bits set. In addition to initialization, a
+block supports two other operations: `block_insert` and
+`block_check`. Both take a single unsigned 32-bit integer as input;
+`block_insert` returns no value, but modifies the block, while
+`block_check` returns a boolean. The semantics of `block_check` are
+that it must return `true` if `block_insert` was previously called on
+the block with the same argument, and otherwise it returns `false`
+with high probability. For more details of the probability, see below.
+
+The operations `block_insert` and `block_check` depend on some
+auxiliary artifacts. First, there is a sequence of eight odd unsigned
+32-bit integer constants called the `salt`. Second, there is a method
+called `mask` that takes as its argument a single unsigned 32-bit
+integer and returns a block in which each word has exactly one bit
+set.
+
+```
+unsigned int32 salt[8] = {0x47b6137bU, 0x44974d91U, 0x8824ad5bU,
+ 0xa2b7289dU, 0x705495c7U, 0x2df1424bU,
+ 0x9efc4947U, 0x5c6bfb31U}
+
+block mask(unsigned int32 x) {
+ block result
+ for i in [0..7] {
+ unsigned int32 y = x * salt[i]
+ result.getWord(i).setBit(y >> 27)
+ }
+ return result
+}
+```
+
+Since there are eight words in the block and eight integers in the
+salt, there is a correspondence between them. To set a bit in the nth
+word of the block, `mask` first multiplies its argument by the nth
+integer in the `salt`, keeping only the least significant 32 bits of
+the 64-bit product, then divides that 32-bit unsigned integer by 2 to
+the 27th power, denoted above using the C language's right shift
+operator "`>>`". The resulting integer is between 0 and 31,
+inclusive. That integer is the bit that gets set in the word in the
+block.
+
+From the `mask` operation, `block_insert` is defined as setting every
+bit in the block that was also set in the result from mask. Similarly,
+`block_check` returns `true` when every bit that is set in the result
+of `mask` is also set in the block.
+
+```
+void block_insert(block b, unsigned int32 x) {
+ block masked = mask(x)
+ for i in [0..7] {
+ for j in [0..31] {
+ if (masked.getWord(i).isSet(j)) {
+ b.getWord(i).setBit(j)
+ }
+ }
+ }
+}
+```
+
+```
+boolean block_check(block b, unsigned int32 x) {
+ block masked = mask(x)
+ for i in [0..7] {
+ for j in [0..31] {
+ if (masked.getWord(i).isSet(j)) {
+ if (not b.getWord(i).setBit(j)) {
+ return false
+ }
+ }
+ }
+ }
+ return true
+}
+```
+
+The reader will note that a block, as defined here, is actually a
+special kind of Bloom filter. Specifically it is a "split" Bloom
+filter, as described in section 2.1 of [Network Applications of Bloom
+Filters: A
+Survey](https://www.eecs.harvard.edu/~michaelm/postscripts/im2005b.pdf). The
+use of multiplication by an odd constant and then shifting right is a
+method of hashing integers as described in section 2.2 of
+Dietzfelbinger et al.'s [A reliable randomized algorithm for the
+closest-pair
+problem](http://hjemmesider.diku.dk/~jyrki/Paper/CP-11.4.1997.pdf).
+
+This closes the definition of a block and the operations on it.
+
+Now that a block is defined, we can describe Parquet's split block
+Bloom filters. A split block Bloom filter (henceforth "SBBF") is
+composed of `z` blocks, where `z` is greater than or equal to one and
+less than 2 to the 31st power. When an SBBF is initialized, each block
+in it is initialized, which means each bit in each word in each block
+in the SBBF is unset.
+
+In addition to initialization, an SBBF supports an operation called
+`filter_insert` and one called `filter_check`. Each takes as an
+argument a 64-bit unsigned integer; `filter_check` returns a boolean
+and `filter_insert` does not return a value, but does modify the SBBF.
+
+The `filter_insert` operation first uses the most significant 32 bits
+of its argument to select a block to operate on. Call the argument
+"`h`", and recall the use of "`z`" to mean the number of blocks. Then
+a block number `i` between `0` and `z-1` (inclusive) to operate on is
+chosen as follows:
+
+```c
+unsigned int64 h_top_bits = h >> 32;
+unsigned int64 z_as_64_bit = z;
+unsigned int32 i = (h_top_bits * z_as_64_bit) >> 32;
+```
+
+The first line extracts the most significant 32 bits from `h` and
+assignes them to a 64-bit unsigned integer. The second line is
+simpler: it just sets an unsigned 64-bit value to the same value as
+the 32-bit unsigned value `z`. The purpose of having both `h_top_bits`
+and `z_as_64_bit` be 64-bit values is so that their product is a
+64-bit value. That product is taken in the third line, and then the
+most significant 32 bits are extracted into the value `i`, which is
+the index of the block that will be operated on.
+
+
+After this process to select `i`, `filter_insert` uses the least
+significant 32 bits of `h` as the argument to `block_insert` called on
+block `i`.
+
+The technique for converting the most significant 32 bits to an
+integer between `0` and `z-1` (inclusive) avoids using the modulo
+operation, which is often very slow. This trick can be found in
+[Kenneth A. Ross's 2006 IBM research report, "Efficient Hash Probes on
+Modern Processors"](
+https://domino.research.ibm.com/library/cyberdig.nsf/papers/DF54E3545C82E8A585257222006FD9A2/$File/rc24100.pdf)
+
+The `filter_check` operation uses the same method as `filter_insert`
+to select a block to operate on, then uses the least significant 32
+bits of its argument as an argument to `block_check` called on that
+block, returning the result.
+
+In the pseudocode below, the modulus operator is represented with the C
+language's "`%`" operator. The "`>>`" operator is used to denote the
+conversion of an unsigned 64-bit integer to an unsigned 32-bit integer
+containing only the most significant 32 bits, and C's cast operator
+"`(unsigned int32)`" is used to denote the conversion of an unsigned
+64-bit integer to an unsigned 32-bit integer containing only the least
+significant 32 bits.
+
+```
+void filter_insert(SBBF filter, unsigned int64 x) {
+ unsigned int64 i = ((x >> 32) * filter.numberOfBlocks()) >> 32;
+ block b = filter.getBlock(i);
+ block_insert(b, (unsigned int32)x)
+}
+```
+
+```
+boolean filter_check(SBBF filter, unsigned int64 x) {
+ unsigned int64 i = ((x >> 32) * filter.numberOfBlocks()) >> 32;
+ block b = filter.getBlock(i);
+ return block_check(b, (unsigned int32)x)
+}
+```
+
+The use of blocks is from Putze et al.'s [Cache-, Hash- and
+Space-Efficient Bloom
+filters](http://algo2.iti.kit.edu/documents/cacheefficientbloomfilters-jea.pdf)
+
+To use an SBBF for values of arbitrary Parquet types, we apply a hash
+function to that value - at the time of writing,
+[xxHash](https://cyan4973.github.io/xxHash/), using the function XXH64
+with a seed of 0 and [following the specification version
+0.1.1](https://github.com/Cyan4973/xxHash/blob/v0.7.0/doc/xxhash_spec.md).
+
+#### Sizing an SBBF
+
+The `check` operation in SBBFs can return `true` for an argument that
+was never inserted into the SBBF. These are called "false
+positives". The "false positive probabilty" is the probability that
+any given hash value that was never `insert`ed into the SBBF will
+cause `check` to return `true` (a false positive). There is not a
+simple closed-form calculation of this probability, but here is an
+example:
+
+A filter that uses 1024 blocks and has had 26,214 hash values
+`insert`ed will have a false positive probabilty of around 1.26%. Each
+of those 1024 blocks occupies 256 bits of space, so the total space
+usage is 262,144. That means that the ratio of bits of space to hash
+values is 10-to-1. Adding more hash values increases the denominator
+and lowers the ratio, which increases the false positive
+probability. For instance, inserting twice as many hash values
+(52,428) decreases the ratio of bits of space per hash value inserted
+to 5-to-1 and increases the false positive probability to
+18%. Inserting half as many hash values (13,107) increases the ratio
+of bits of space per hash value inserted to 20-to-1 and decreases the
+false positive probability to 0.04%.
+
+Here are some sample values of the ratios needed to achieve certain
+false positive rates:
+
+| Bits of space per `insert` | False positive probability |
+| -------------------------- | -------------------------- |
+| 6.0 | 10 % |
+| 10.5 | 1 % |
+| 16.9 | 0.1 % |
+| 26.4 | 0.01 % |
+| 41 | 0.001 % |
+
+#### File Format
+
+Each multi-block Bloom filter is required to work for only one column chunk.
The data of a multi-block
+bloom filter consists of the bloom filter header followed by the bloom filter
bitset. The bloom filter
+header encodes the size of the bloom filter bit set in bytes that is used to
read the bitset.
+
+Here are the Bloom filter definitions in thrift:
+
+
+```
+/** Block-based algorithm type annotation. **/
+struct SplitBlockAlgorithm {}
+/** The algorithm used in Bloom filter. **/
+union BloomFilterAlgorithm {
+ /** Block-based Bloom filter. **/
+ 1: SplitBlockAlgorithm BLOCK;
+}
+
+/** Hash strategy type annotation. xxHash is an extremely fast
non-cryptographic hash
+ * algorithm. It uses 64 bits version of xxHash.
+ **/
+struct XxHash {}
+
+/**
+ * The hash function used in Bloom filter. This function takes the hash of a
column value
+ * using plain encoding.
+ **/
+union BloomFilterHash {
+ /** xxHash Strategy. **/
+ 1: XxHash XXHASH;
+}
+
+/**
+ * The compression used in the Bloom filter.
+ **/
+struct Uncompressed {}
+union BloomFilterCompression {
+ 1: Uncompressed UNCOMPRESSED;
+}
+
+/**
+ * Bloom filter header is stored at beginning of Bloom filter data of each
column
+ * and followed by its bitset.
+ **/
+struct BloomFilterPageHeader {
+ /** The size of bitset in bytes **/
+ 1: required i32 numBytes;
+ /** The algorithm for setting bits. **/
+ 2: required BloomFilterAlgorithm algorithm;
+ /** The hash function used for Bloom filter. **/
+ 3: required BloomFilterHash hash;
+ /** The compression used in the Bloom filter **/
+ 4: required BloomFilterCompression compression;
+}
+
+struct ColumnMetaData {
+ ...
+ /** Byte offset from beginning of file to Bloom filter data. **/
+ 14: optional i64 bloom_filter_offset;
+}
+
+```
+
+The Bloom filters are grouped by row group and with data for each column in
the same order as the file schema.
+The Bloom filter data can be stored before the page indexes after all row
groups. The file layout looks like:
+ 
+
+Or it can be stored between row groups, the file layout looks like:
+ 
+
+#### Encryption
+In the case of columns with sensitive data, the Bloom filter exposes a subset
of sensitive
+information such as the presence of value. Therefore the Bloom filter of
columns with sensitive
+data should be encrypted with the column key, and the Bloom filter of other
(not sensitive) columns
+do not need to be encrypted.
+
+Bloom filters have two serializable modules - the PageHeader thrift structure
(with its internal
+fields, including the BloomFilterPageHeader `bloom_filter_page_header`), and
the Bitset. The header
+structure is serialized by Thrift, and written to file output stream; it is
followed by the
+serialized Bitset.
+
+For Bloom filters in sensitive columns, each of the two modules will be
encrypted after
+serialization, and then written to the file. The encryption will be performed
using the AES GCM
+cipher, with the same column key, but with different AAD module types -
"BloomFilter Header" (8)
+and "BloomFilter Bitset" (9). The length of the encrypted buffer is written
before the buffer, as
+described in the Parquet encryption specification.
diff --git a/content/en/docs/File Format/configurations.md
b/content/en/docs/File Format/configurations.md
index db32e86..9e21955 100644
--- a/content/en/docs/File Format/configurations.md
+++ b/content/en/docs/File Format/configurations.md
@@ -5,7 +5,17 @@ weight: 5
---
### Row Group Size
-Larger row groups allow for larger column chunks which makes it possible to do
larger sequential IO. Larger groups also require more buffering in the write
path (or a two pass write). We recommend large row groups (512MB - 1GB). Since
an entire row group might need to be read, we want it to completely fit on one
HDFS block. Therefore, HDFS block sizes should also be set to be larger. An
optimized read setup would be: 1GB row groups, 1GB HDFS block size, 1 HDFS
block per HDFS file.
+Larger row groups allow for larger column chunks which makes it
+possible to do larger sequential IO. Larger groups also require more
buffering in
+the write path (or a two pass write). We recommend large row groups (512MB -
1GB).
+Since an entire row group might need to be read, we want it to completely fit
on
+one HDFS block. Therefore, HDFS block sizes should also be set to be larger.
An
+optimized read setup would be: 1GB row groups, 1GB HDFS block size, 1 HDFS
block
+per HDFS file.
### Data Page Size
-Data pages should be considered indivisible so smaller data pages allow for
more fine grained reading (e.g. single row lookup). Larger page sizes incur
less space overhead (less page headers) and potentially less parsing overhead
(processing headers). Note: for sequential scans, it is not expected to read a
page at a time; this is not the IO chunk. We recommend 8KB for page sizes.
+Data pages should be considered indivisible so smaller data pages
+allow for more fine grained reading (e.g. single row lookup). Larger page
sizes
+incur less space overhead (less page headers) and potentially less parsing
overhead
+(processing headers). Note: for sequential scans, it is not expected to read
a page
+at a time; this is not the IO chunk. We recommend 8KB for page sizes.
\ No newline at end of file
diff --git a/content/en/docs/File Format/extensibility.md
b/content/en/docs/File Format/extensibility.md
index f9fd61f..4d91d4f 100644
--- a/content/en/docs/File Format/extensibility.md
+++ b/content/en/docs/File Format/extensibility.md
@@ -5,7 +5,6 @@ weight: 5
---
There are many places in the format for compatible extensions:
-
-File Version: The file metadata contains a version.
-Encodings: Encodings are specified by enum and more can be added in the future.
-Page types: Additional page types can be added and safely skipped.
+- File Version: The file metadata contains a version.
+- Encodings: Encodings are specified by enum and more can be added in the
future.
+- Page types: Additional page types can be added and safely skipped.
diff --git a/content/en/docs/File Format/metadata.md b/content/en/docs/File
Format/metadata.md
index cd8f8f2..0e5e19b 100644
--- a/content/en/docs/File Format/metadata.md
+++ b/content/en/docs/File Format/metadata.md
@@ -3,6 +3,7 @@ title: "Metadata"
linkTitle: "Metadata"
weight: 5
---
-There are three types of metadata: file metadata, column (chunk) metadata and
page header metadata. All thrift structures are serialized using the
TCompactProtocol.
+There are three types of metadata: file metadata, column (chunk) metadata and
page
+header metadata. All thrift structures are serialized using the
TCompactProtocol.

diff --git a/content/en/docs/File Format/nestedencoding.md
b/content/en/docs/File Format/nestedencoding.md
index 3304365..c855ddc 100644
--- a/content/en/docs/File Format/nestedencoding.md
+++ b/content/en/docs/File Format/nestedencoding.md
@@ -3,6 +3,12 @@ title: "Nested Encoding"
linkTitle: "Nested Encoding"
weight: 6
---
-To encode nested columns, Parquet uses the Dremel encoding with definition and
repetition levels. Definition levels specify how many optional fields in the
path for the column are defined. Repetition levels specify at what repeated
field in the path has the value repeated. The max definition and repetition
levels can be computed from the schema (i.e. how much nesting there is). This
defines the maximum number of bits required to store the levels (levels are
defined for all values in the [...]
+To encode nested columns, Parquet uses the Dremel encoding with definition and
+repetition levels. Definition levels specify how many optional fields in the
+path for the column are defined. Repetition levels specify at what repeated
field
+in the path has the value repeated. The max definition and repetition levels
can
+be computed from the schema (i.e. how much nesting there is). This defines the
+maximum number of bits required to store the levels (levels are defined for all
+values in the column).
-Two encodings for the levels are supported BITPACKED and RLE. Only RLE is now
used as it supersedes BITPACKED.
+Two encodings for the levels are supported BIT_PACKED and RLE. Only RLE is now
used as it supersedes BIT_PACKED.
diff --git a/content/en/docs/File Format/nulls.md b/content/en/docs/File
Format/nulls.md
index 5327c0f..ada3d17 100644
--- a/content/en/docs/File Format/nulls.md
+++ b/content/en/docs/File Format/nulls.md
@@ -3,4 +3,7 @@ title: "Nulls"
linkTitle: "Nulls"
weight: 7
---
-Nullity is encoded in the definition levels (which is run-length encoded).
NULL values are not encoded in the data. For example, in a non-nested schema, a
column with 1000 NULLs would be encoded with run-length encoding (0, 1000
times) for the definition levels and nothing else.
+Nullity is encoded in the definition levels (which is run-length encoded).
NULL values
+are not encoded in the data. For example, in a non-nested schema, a column
with 1000 NULLs
+would be encoded with run-length encoding (0, 1000 times) for the definition
levels and
+nothing else.
diff --git a/content/en/docs/File Format/pageindex.md b/content/en/docs/File
Format/pageindex.md
new file mode 100644
index 0000000..500c797
--- /dev/null
+++ b/content/en/docs/File Format/pageindex.md
@@ -0,0 +1,85 @@
+---
+title: "Page Index"
+linkTitle: "Page Index"
+weight: 7
+---
+This document describes the format for column index pages in the Parquet
+footer. These pages contain statistics for DataPages and can be used to skip
+pages when scanning data in ordered and unordered columns.
+
+## Problem Statement
+In previous versions of the format, Statistics are stored for ColumnChunks in
+ColumnMetaData and for individual pages inside DataPageHeader structs. When
+reading pages, a reader had to process the page header to determine
+whether the page could be skipped based on the statistics. This means the
reader
+had to access all pages in a column, thus likely reading most of the column
+data from disk.
+
+## Goals
+1. Make both range scans and point lookups I/O efficient by allowing direct
+ access to pages based on their min and max values. In particular:
+ * A single-row lookup in a row group based on the sort column of that row
group
+ will only read one data page per the retrieved column.
+ * Range scans on the sort column will only need to read the exact data
+ pages that contain relevant data.
+ * Make other selective scans I/O efficient: if we have a very selective
+ predicate on a non-sorting column, for the other retrieved columns we
+ should only need to access data pages that contain matching rows.
+2. No additional decoding effort for scans without selective predicates, e.g.,
+ full-row group scans. If a reader determines that it does not need to read
+ the index data, it does not incur any overhead.
+3. Index pages for sorted columns use minimal storage by storing only the
+ boundary elements between pages.
+
+## Non-Goals
+* Support for the equivalent of secondary indices, i.e., an index structure
+ sorted on the key values over non-sorted data.
+
+
+## Technical Approach
+
+We add two new per-column structures to the row group metadata:
+* ColumnIndex: this allows navigation to the pages of a column based on column
+ values and is used to locate data pages that contain matching values for a
+ scan predicate
+* OffsetIndex: this allows navigation by row index and is used to retrieve
+ values for rows identified as matches via the ColumnIndex. Once rows of a
+ column are skipped, the corresponding rows in the other columns have to be
+ skipped. Hence the OffsetIndexes for each column in a RowGroup are stored
+ together.
+
+The new index structures are stored separately from RowGroup, near the footer.
+This is done so that a reader does not have to pay the I/O and deserialization
+cost for reading them if it is not doing selective scans. The index structures'
+location and length are stored in ColumnChunk.
+
+ 
+
+Some observations:
+* We don't need to record the lower bound for the first page and the upper
+ bound for the last page, because the row group Statistics can provide that.
+ We still include those for the sake of uniformity, and the overhead should be
+ negligible.
+* We store lower and upper bounds for the values of each page. These may be the
+ actual minimum and maximum values found on a page, but can also be (more
+ compact) values that do not exist on a page. For example, instead of storing
+ ""Blart Versenwald III", a writer may set `min_values[i]="B"`,
+ `max_values[i]="C"`. This allows writers to truncate large values and writers
+ should use this to enforce some reasonable bound on the size of the index
+ structures.
+* Readers that support ColumnIndex should not also use page statistics. The
+ only reason to write page-level statistics when writing ColumnIndex structs
+ is to support older readers (not recommended).
+
+For ordered columns, this allows a reader to find matching pages by performing
+a binary search in `min_values` and `max_values`. For unordered columns, a
+reader can find matching pages by sequentially reading `min_values` and
+`max_values`.
+
+For range scans, this approach can be extended to return ranges of rows, page
+indices, and page offsets to scan in each column. The reader can then
+initialize a scanner for each column and fast forward them to the start row of
+the scan.
+
+The `min_values` and `max_values` are calculated based on the `column_orders`
+field in the `FileMetaData` struct of the footer.
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