iw6-mod/deps/rapidjson/doc/internals.md

Internals

This section records some design and implementation details.

[TOC]

Architecture

SAX and DOM

The basic relationships of SAX and DOM is shown in the following UML diagram.

The core of the relationship is the Handler concept. From the SAX side, Reader parses a JSON from a stream and publish events to a Handler. Writer implements the Handler concept to handle the same set of events. From the DOM side, Document implements the Handler concept to build a DOM according to the events. Value supports a Value::Accept(Handler&) function, which traverses the DOM to publish events.

With this design, SAX is not dependent on DOM. Even Reader and Writer have no dependencies between them. This provides flexibility to chain event publisher and handlers. Besides, Value does not depends on SAX as well. So, in addition to stringify a DOM to JSON, user may also stringify it to a XML writer, or do anything else.

Utility Classes

Both SAX and DOM APIs depends on 3 additional concepts: Allocator, Encoding and Stream. Their inheritance hierarchy is shown as below.

Value

Value (actually a typedef of GenericValue<UTF8<>>) is the core of DOM API. This section describes the design of it.

Data Layout

Value is a variant type. In RapidJSON's context, an instance of Value can contain 1 of 6 JSON value types. This is possible by using union. Each Value contains two members: union Data data_ and aunsigned flags_. The flags_ indicates the JSON type, and also additional information.

The following tables show the data layout of each type. The 32-bit/64-bit columns indicates the size of the field in bytes.

Null		32-bit	64-bit
(unused)		4	8
(unused)		4	4
(unused)		4	4
unsigned flags_	kNullType kNullFlag	4	4

Bool		32-bit	64-bit
(unused)		4	8
(unused)		4	4
(unused)		4	4
unsigned flags_	kBoolType (either kTrueFlag or kFalseFlag)	4	4

String		32-bit	64-bit
Ch* str	Pointer to the string (may own)	4	8
SizeType length	Length of string	4	4
(unused)		4	4
unsigned flags_	kStringType kStringFlag ...	4	4

Object		32-bit	64-bit
Member* members	Pointer to array of members (owned)	4	8
SizeType size	Number of members	4	4
SizeType capacity	Capacity of members	4	4
unsigned flags_	kObjectType kObjectFlag	4	4

Array		32-bit	64-bit
Value* values	Pointer to array of values (owned)	4	8
SizeType size	Number of values	4	4
SizeType capacity	Capacity of values	4	4
unsigned flags_	kArrayType kArrayFlag	4	4

Number (Int)		32-bit	64-bit
int i	32-bit signed integer	4	4
(zero padding)	0	4	4
(unused)		4	8
unsigned flags_	kNumberType kNumberFlag kIntFlag kInt64Flag ...	4	4

Number (UInt)		32-bit	64-bit
unsigned u	32-bit unsigned integer	4	4
(zero padding)	0	4	4
(unused)		4	8
unsigned flags_	kNumberType kNumberFlag kUintFlag kUint64Flag ...	4	4

Number (Int64)		32-bit	64-bit
int64_t i64	64-bit signed integer	8	8
(unused)		4	8
unsigned flags_	kNumberType kNumberFlag kInt64Flag ...	4	4

Number (Uint64)		32-bit	64-bit
uint64_t i64	64-bit unsigned integer	8	8
(unused)		4	8
unsigned flags_	kNumberType kNumberFlag kInt64Flag ...	4	4

Number (Double)		32-bit	64-bit
uint64_t i64	Double precision floating-point	8	8
(unused)		4	8
unsigned flags_	kNumberType kNumberFlag kDoubleFlag	4	4

Here are some notes:

• To reduce memory consumption for 64-bit architecture, SizeType is typedef as unsigned instead of size_t.
• Zero padding for 32-bit number may be placed after or before the actual type, according to the endianness. This makes possible for interpreting a 32-bit integer as a 64-bit integer, without any conversion.
• An Int is always an Int64, but the converse is not always true.

Flags

The 32-bit flags_ contains both JSON type and other additional information. As shown in the above tables, each JSON type contains redundant kXXXType and kXXXFlag. This design is for optimizing the operation of testing bit-flags (IsNumber()) and obtaining a sequential number for each type (GetType()).

String has two optional flags. kCopyFlag means that the string owns a copy of the string. kInlineStrFlag means using Short-String Optimization.

Number is a bit more complicated. For normal integer values, it can contains kIntFlag, kUintFlag, kInt64Flag and/or kUint64Flag, according to the range of the integer. For numbers with fraction, and integers larger than 64-bit range, they will be stored as double with kDoubleFlag.

Short-String Optimization

Kosta provided a very neat short-string optimization. The optimization idea is given as follow. Excluding the flags_, a Value has 12 or 16 bytes (32-bit or 64-bit) for storing actual data. Instead of storing a pointer to a string, it is possible to store short strings in these space internally. For encoding with 1-byte character type (e.g. char), it can store maximum 11 or 15 characters string inside the Value type.

ShortString (Ch=char)		32-bit	64-bit
Ch str[MaxChars]	String buffer	11	15
Ch invLength	MaxChars - Length	1	1
unsigned flags_	kStringType kStringFlag ...	4	4

A special technique is applied. Instead of storing the length of string directly, it stores (MaxChars - length). This make it possible to store 11 characters with trailing \0.

This optimization can reduce memory usage for copy-string. It can also improve cache-coherence thus improve runtime performance.

Allocator

Allocator is a concept in RapidJSON:

concept Allocator {
    static const bool kNeedFree;    //!< Whether this allocator needs to call Free().

    // Allocate a memory block.
    // \param size of the memory block in bytes.
    // \returns pointer to the memory block.
    void* Malloc(size_t size);

    // Resize a memory block.
    // \param originalPtr The pointer to current memory block. Null pointer is permitted.
    // \param originalSize The current size in bytes. (Design issue: since some allocator may not book-keep this, explicitly pass to it can save memory.)
    // \param newSize the new size in bytes.
    void* Realloc(void* originalPtr, size_t originalSize, size_t newSize);

    // Free a memory block.
    // \param pointer to the memory block. Null pointer is permitted.
    static void Free(void *ptr);
};

Note that Malloc() and Realloc() are member functions but Free() is static member function.

MemoryPoolAllocator

MemoryPoolAllocator is the default allocator for DOM. It allocate but do not free memory. This is suitable for building a DOM tree.

Internally, it allocates chunks of memory from the base allocator (by default CrtAllocator) and stores the chunks as a singly linked list. When user requests an allocation, it allocates memory from the following order:

1. User supplied buffer if it is available. (See User Buffer section in DOM)
2. If user supplied buffer is full, use the current memory chunk.
3. If the current block is full, allocate a new block of memory.

Parsing Optimization

Skip Whitespaces with SIMD

When parsing JSON from a stream, the parser need to skip 4 whitespace characters:

1. Space (U+0020)
2. Character Tabulation (U+000B)
3. Line Feed (U+000A)
4. Carriage Return (U+000D)

A simple implementation will be simply:

void SkipWhitespace(InputStream& s) {
    while (s.Peek() == ' ' || s.Peek() == '\n' || s.Peek() == '\r' || s.Peek() == '\t')
        s.Take();
}

However, this requires 4 comparisons and a few branching for each character. This was found to be a hot spot.

To accelerate this process, SIMD was applied to compare 16 characters with 4 white spaces for each iteration. Currently RapidJSON supports SSE2, SSE4.2 and ARM Neon instructions for this. And it is only activated for UTF-8 memory streams, including string stream or in situ parsing.

To enable this optimization, need to define RAPIDJSON_SSE2, RAPIDJSON_SSE42 or RAPIDJSON_NEON before including rapidjson.h. Some compilers can detect the setting, as in perftest.h:

// __SSE2__ and __SSE4_2__ are recognized by gcc, clang, and the Intel compiler.
// We use -march=native with gmake to enable -msse2 and -msse4.2, if supported.
// Likewise, __ARM_NEON is used to detect Neon.
#if defined(__SSE4_2__)
#  define RAPIDJSON_SSE42
#elif defined(__SSE2__)
#  define RAPIDJSON_SSE2
#elif defined(__ARM_NEON)
#  define RAPIDJSON_NEON
#endif

Note that, these are compile-time settings. Running the executable on a machine without such instruction set support will make it crash.

Page boundary issue

In an early version of RapidJSON, an issue reported that the SkipWhitespace_SIMD() causes crash very rarely (around 1 in 500,000). After investigation, it is suspected that _mm_loadu_si128() accessed bytes after '\0', and across a protected page boundary.

In Intel® 64 and IA-32 Architectures Optimization Reference Manual , section 10.2.1:

To support algorithms requiring unaligned 128-bit SIMD memory accesses, memory buffer allocation by a caller function should consider adding some pad space so that a callee function can safely use the address pointer safely with unaligned 128-bit SIMD memory operations. The minimal padding size should be the width of the SIMD register that might be used in conjunction with unaligned SIMD memory access.

This is not feasible as RapidJSON should not enforce such requirement.

To fix this issue, currently the routine process bytes up to the next aligned address. After tha, use aligned read to perform SIMD processing. Also see #85.

Local Stream Copy

During optimization, it is found that some compilers cannot localize some member data access of streams into local variables or registers. Experimental results show that for some stream types, making a copy of the stream and used it in inner-loop can improve performance. For example, the actual (non-SIMD) implementation of SkipWhitespace() is implemented as:

template<typename InputStream>
void SkipWhitespace(InputStream& is) {
    internal::StreamLocalCopy<InputStream> copy(is);
    InputStream& s(copy.s);

    while (s.Peek() == ' ' || s.Peek() == '\n' || s.Peek() == '\r' || s.Peek() == '\t')
        s.Take();
}

Depending on the traits of stream, StreamLocalCopy will make (or not make) a copy of the stream object, use it locally and copy the states of stream back to the original stream.

Parsing to Double

Parsing string into double is difficult. The standard library function strtod() can do the job but it is slow. By default, the parsers use normal precision setting. This has has maximum 3 ULP error and implemented in internal::StrtodNormalPrecision().

When using kParseFullPrecisionFlag, the parsers calls internal::StrtodFullPrecision() instead, and this function actually implemented 3 versions of conversion methods.

1. Fast-Path.
2. Custom DIY-FP implementation as in double-conversion.
3. Big Integer Method as in (Clinger, William D. How to read floating point numbers accurately. Vol. 25. No. 6. ACM, 1990).

If the first conversion methods fail, it will try the second, and so on.

Generation Optimization

Integer-to-String conversion

The naive algorithm for integer-to-string conversion involves division per each decimal digit. We have implemented various implementations and evaluated them in itoa-benchmark.

Although SSE2 version is the fastest but the difference is minor by comparing to the first running-up branchlut. And branchlut is pure C++ implementation so we adopt branchlut in RapidJSON.

Double-to-String conversion

Originally RapidJSON uses snprintf(..., ..., "%g") to achieve double-to-string conversion. This is not accurate as the default precision is 6. Later we also find that this is slow and there is an alternative.

Google's V8 double-conversion implemented a newer, fast algorithm called Grisu3 (Loitsch, Florian. "Printing floating-point numbers quickly and accurately with integers." ACM Sigplan Notices 45.6 (2010): 233-243.).

However, since it is not header-only so that we implemented a header-only version of Grisu2. This algorithm guarantees that the result is always accurate. And in most of cases it produces the shortest (optimal) string representation.

The header-only conversion function has been evaluated in dtoa-benchmark.

Parser

Iterative Parser

The iterative parser is a recursive descent LL(1) parser implemented in a non-recursive manner.

Grammar

The grammar used for this parser is based on strict JSON syntax:

S -> array | object
array -> [ values ]
object -> { members }
values -> non-empty-values | ε
non-empty-values -> value addition-values
addition-values -> ε | , non-empty-values
members -> non-empty-members | ε
non-empty-members -> member addition-members
addition-members -> ε | , non-empty-members
member -> STRING : value
value -> STRING | NUMBER | NULL | BOOLEAN | object | array

Note that left factoring is applied to non-terminals values and members to make the grammar be LL(1).

Parsing Table

Based on the grammar, we can construct the FIRST and FOLLOW set.

The FIRST set of non-terminals is listed below:

NON-TERMINAL	FIRST
array	[
object	{
values	ε STRING NUMBER NULL BOOLEAN { [
addition-values	ε COMMA
members	ε STRING
addition-members	ε COMMA
member	STRING
value	STRING NUMBER NULL BOOLEAN { [
S	[ {
non-empty-members	STRING
non-empty-values	STRING NUMBER NULL BOOLEAN { [

The FOLLOW set is listed below:

NON-TERMINAL	FOLLOW
S	$
array	, $ } ]
object	, $ } ]
values	]
non-empty-values	]
addition-values	]
members	}
non-empty-members	}
addition-members	}
member	, }
value	, } ]

Finally the parsing table can be constructed from FIRST and FOLLOW set:

NON-TERMINAL	[	{	,	:	]	}	STRING	NUMBER	NULL	BOOLEAN
S	array	object
array	[ values ]
object		{ members }
values	non-empty-values	non-empty-values			ε		non-empty-values	non-empty-values	non-empty-values	non-empty-values
non-empty-values	value addition-values	value addition-values					value addition-values	value addition-values	value addition-values	value addition-values
addition-values			, non-empty-values		ε
members						ε	non-empty-members
non-empty-members							member addition-members
addition-members			, non-empty-members			ε
member							STRING : value
value	array	object					STRING	NUMBER	NULL	BOOLEAN

There is a great tool for above grammar analysis.

Implementation

Based on the parsing table, a direct(or conventional) implementation that pushes the production body in reverse order while generating a production could work.

In RapidJSON, several modifications(or adaptations to current design) are made to a direct implementation.

First, the parsing table is encoded in a state machine in RapidJSON. States are constructed by the head and body of production. State transitions are constructed by production rules. Besides, extra states are added for productions involved with array and object. In this way the generation of array values or object members would be a single state transition, rather than several pop/push operations in the direct implementation. This also makes the estimation of stack size more easier.

The state diagram is shown as follows:

Second, the iterative parser also keeps track of array's value count and object's member count in its internal stack, which may be different from a conventional implementation.