Encoding

• A Simple Message
• Base 128 Varints
• Message Structure
• More Value Types
• Embedded Messages
• Optional And Repeated Elements
• Field Order

This document describes the binary wire format for protocol buffer messages. You don't need to understand this to use protocol buffers in your applications, but it can be very useful to know how different protocol buffer formats affect the size of your encoded messages.

A Simple Message

Let's say you have the following very simple message definition:

message Test1 {
  optional int32 a = 1;
}

In an application, you create a Test1 message and set a to 150. You then serialize the message to an output stream. If you were able to examine the encoded message, you'd see three bytes:

08 96 01

So far, so small and numeric – but what does it mean? Read on...

Base 128 Varints

To understand your simple protocol buffer encoding, you first need to understand varints. Varints are a method of serializing integers using one or more bytes. Smaller numbers take a smaller number of bytes.

Each byte in a varint, except the last byte, has the most significant bit (msb) set – this indicates that there are further bytes to come. The lower 7 bits of each byte are used to store the two's complement representation of the number in groups of 7 bits, least significant group first.

So, for example, here is the number 1 – it's a single byte, so the msb is not set:

0000 0001

And here is 300 – this is a bit more complicated:

1010 1100 0000 0010

How do you figure out that this is 300? First you drop the msb from each byte, as this is just there to tell us whether we've reached the end of the number (as you can see, it's set in the first byte as there is more than one byte in the varint):

 1010 1100 0000 0010
→ 010 1100  000 0010

You reverse the two groups of 7 bits because, as you remember, varints store numbers with the least significant group first. Then you concatenate them to get your final value:

000 0010  010 1100
→  000 0010 ++ 010 1100
→  100101100
→  256 + 32 + 8 + 4 = 300

Message Structure

As you know, a protocol buffer message is a series of key-value pairs. The binary version of a message just uses the field's number as the key – the name and declared type for each field can only be determined on the decoding end by referencing the message type's definition (i.e. the .proto file).

When a message is encoded, the keys and values are concatenated into a byte stream. When the message is being decoded, the parser needs to be able to skip fields that it doesn't recognize. This way, new fields can be added to a message without breaking old programs that do not know about them. To this end, the "key" for each pair in a wire-format message is actually two values – the field number from your .proto file, plus a wire type that provides just enough information to find the length of the following value. In most language implementations this key is referred to as a tag.

The available wire types are as follows:

Type	Meaning	Used For
0	Varint	int32, int64, uint32, uint64, sint32, sint64, bool, enum
1	64-bit	fixed64, sfixed64, double
2	Length-delimited	string, bytes, embedded messages, packed repeated fields
3	Start group	groups (deprecated)
4	End group	groups (deprecated)
5	32-bit	fixed32, sfixed32, float

Each key in the streamed message is a varint with the value (field_number << 3) | wire_type – in other words, the last three bits of the number store the wire type.

Now let's look at our simple example again. You now know that the first number in the stream is always a varint key, and here it's 08, or (dropping the msb):

000 1000

You take the last three bits to get the wire type (0) and then right-shift by three to get the field number (1). So you now know that the field number is 1 and the following value is a varint. Using your varint-decoding knowledge from the previous section, you can see that the next two bytes store the value 150.

96 01 = 1001 0110  0000 0001
       → 000 0001  ++  001 0110 (drop the msb and reverse the groups of 7 bits)
       → 10010110
       → 128 + 16 + 4 + 2 = 150

More Value Types

Signed Integers

As you saw in the previous section, all the protocol buffer types associated with wire type 0 are encoded as varints. However, there is an important difference between the signed int types (sint32 and sint64) and the "standard" int types (int32 and int64) when it comes to encoding negative numbers. If you use int32 or int64 as the type for a negative number, the resulting varint is always ten bytes long – it is, effectively, treated like a very large unsigned integer. If you use one of the signed types, the resulting varint uses ZigZag encoding, which is much more efficient.

ZigZag encoding maps signed integers to unsigned integers so that numbers with a small absolute value (for instance, -1) have a small varint encoded value too. It does this in a way that "zig-zags" back and forth through the positive and negative integers, so that -1 is encoded as 1, 1 is encoded as 2, -2 is encoded as 3, and so on, as you can see in the following table:

Signed Original	Encoded As
0	0
-1	1
1	2
-2	3
2147483647	4294967294
-2147483648	4294967295

In other words, each value n is encoded using

(n << 1) ^ (n >> 31)

for sint32s, or

(n << 1) ^ (n >> 63)

for the 64-bit version.

Note that the second shift – the (n >> 31) part – is an arithmetic shift. So, in other words, the result of the shift is either a number that is all zero bits (if n is positive) or all one bits (if n is negative).

When the sint32 or sint64 is parsed, its value is decoded back to the original, signed version.

Non-varint Numbers

Non-varint numeric types are simple – double and fixed64 have wire type 1, which tells the parser to expect a fixed 64-bit lump of data; similarly float and fixed32 have wire type 5, which tells it to expect 32 bits. In both cases the values are stored in little-endian byte order.

Strings

A wire type of 2 (length-delimited) means that the value is a varint encoded length followed by the specified number of bytes of data.

message Test2 {
  optional string b = 2;
}

Setting the value of b to "testing" gives you:

12 07 74 65 73 74 69 6e 67

The red bytes are the UTF8 of "testing". The key here is 0x12 →

0001 0010

→

00010 010

→ field_number = 2, wire_type = 2. The length varint in the value is 7 and lo and behold, we find seven bytes following it – our string.

Embedded Messages

Here's a message definition with an embedded message of our example type, Test1:

message Test3 {
  optional Test1 c = 3;
}

And here's the encoded version, again with the Test1's a field set to 150:

 1a 03 08 96 01

As you can see, the last three bytes are exactly the same as our first example (08 96 01), and they're preceded by the number 3 – embedded messages are treated in exactly the same way as strings (wire type = 2).

Optional And Repeated Elements

If a proto2 message definition has repeated elements (without the [packed=true] option), the encoded message has zero or more key-value pairs with the same field number. These repeated values do not have to appear consecutively; they may be interleaved with other fields. The order of the elements with respect to each other is preserved when parsing, though the ordering with respect to other fields is lost. In proto3, repeated fields use packed encoding, which you can read about below.

For any non-repeated fields in proto3, or optional fields in proto2, the encoded message may or may not have a key-value pair with that field number.

Normally, an encoded message would never have more than one instance of a non-repeated field. However, parsers are expected to handle the case in which they do. For numeric types and strings, if the same field appears multiple times, the parser accepts the last value it sees. For embedded message fields, the parser merges multiple instances of the same field, as if with the Message::MergeFrom method – that is, all singular scalar fields in the latter instance replace those in the former, singular embedded messages are merged, and repeated fields are concatenated. The effect of these rules is that parsing the concatenation of two encoded messages produces exactly the same result as if you had parsed the two messages separately and merged the resulting objects. That is, this:

MyMessage message;
message.ParseFromString(str1 + str2);

is equivalent to this:

MyMessage message, message2;
message.ParseFromString(str1);
message2.ParseFromString(str2);
message.MergeFrom(message2);

This property is occasionally useful, as it allows you to merge two messages even if you do not know their types.

Packed Repeated Fields

Version 2.1.0 introduced packed repeated fields, which in proto2 are declared like repeated fields but with the special [packed=true] option. In proto3, repeated fields of scalar numeric types are packed by default. These function like repeated fields, but are encoded differently. A packed repeated field containing zero elements does not appear in the encoded message. Otherwise, all of the elements of the field are packed into a single key-value pair with wire type 2 (length-delimited). Each element is encoded the same way it would be normally, except without a key preceding it.

For example, imagine you have the message type:

message Test4 {
  repeated int32 d = 4 [packed=true];
}

Now let's say you construct a Test4, providing the values 3, 270, and 86942 for the repeated field d. Then, the encoded form would be:

22        // key (field number 4, wire type 2)
06        // payload size (6 bytes)
03        // first element (varint 3)
8E 02     // second element (varint 270)
9E A7 05  // third element (varint 86942)

Only repeated fields of primitive numeric types (types which use the varint, 32-bit, or 64-bit wire types) can be declared "packed".

Note that although there's usually no reason to encode more than one key-value pair for a packed repeated field, encoders must be prepared to accept multiple key-value pairs. In this case, the payloads should be concatenated. Each pair must contain a whole number of elements.

Protocol buffer parsers must be able to parse repeated fields that were compiled as packed as if they were not packed, and vice versa. This permits adding [packed=true] to existing fields in a forward- and backward-compatible way.

Field Order

Field numbers may be used in any order in a .proto file. The order chosen has no effect on how the messages are serialized.

When a message is serialized, there is no guaranteed order for how its known or unknown fields should be written. Serialization order is an implementation detail and the details of any particular implementation may change in the future. Therefore, protocol buffer parsers must be able to parse fields in any order.

Implications

• Do not assume the byte output of a serialized message is stable. This is especially true for messages with transitive bytes fields representing other serialized protocol buffer messages.
• By default, repeated invocations of serialization methods on the same protocol buffer message instance may not return the same byte output; i.e. the default serialization is not deterministic.
  • Deterministic serialization only guarantees the same byte output for a particular binary. The byte output may change across different versions of the binary.
• The following checks may fail for a protocol buffer message instance foo.
  • foo.SerializeAsString() == foo.SerializeAsString()
  • Hash(foo.SerializeAsString()) == Hash(foo.SerializeAsString())
  • CRC(foo.SerializeAsString()) == CRC(foo.SerializeAsString())
  • FingerPrint(foo.SerializeAsString()) == FingerPrint(foo.SerializeAsString())
• Here're a few example scenarios where logically equivalent protocol buffer messages foo and bar may serialize to different byte outputs.
  • bar is serialized by an old server that treats some fields as unknown.
  • bar is serialized by a server that is implemented in a different programming language and serializes fields in different order.
  • bar has a field that serializes in non-deterministic manner.
  • bar has a field that stores a serialized byte output of a protocol buffer message which is serialized differently.
  • bar is serialized by a new server that serializes fields in different order due to an implementation change.
  • Both foo and bar are concatenation of individual messages but with different order.