fixed adding file problem

[c11concurrency-benchmarks.git] / gdax-orderbook-hpp / demo / dependencies / rapidjson-1.1.0 / doc / internals.md

# Internals

This section records some design and implementation details.

[TOC]

# Architecture {#Architecture}

## SAX and DOM

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

![Architecture UML class diagram](diagram/architecture.png)

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.

![Utility classes UML class diagram](diagram/utilityclass.png)

# Value {#Value}

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

## Data Layout {#DataLayout}

`Value` is a [variant type](http://en.wikipedia.org/wiki/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 a`unsigned flags_`. The `flags_` indiciates 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 endianess. 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 {#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](#ShortString).

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 {#ShortString}

 [Kosta](https://github.com/Kosta-Github) 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 {#InternalAllocator}

`Allocator` is a concept in RapidJSON:
~~~cpp
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}

`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](doc/dom.md))
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 {#ParsingOptimization}

## Skip Whitespaces with SIMD {#SkipwhitespaceWithSIMD}

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:
~~~cpp
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 only supports SSE2 and SSE4.2 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` or `RAPIDJSON_SSE42` before including `rapidjson.h`. Some compilers can detect the setting, as in `perftest.h`:

~~~cpp
// __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.
#if defined(__SSE4_2__)
#  define RAPIDJSON_SSE42
#elif defined(__SSE2__)
#  define RAPIDJSON_SSE2
#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](https://code.google.com/archive/p/rapidjson/issues/104) 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
](http://www.intel.com/content/www/us/en/architecture-and-technology/64-ia-32-architectures-optimization-manual.html), 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](https://github.com/miloyip/rapidjson/issues/85).

## Local Stream Copy {#LocalStreamCopy}

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:

~~~cpp
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 {#ParsingDouble}

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](http://en.wikipedia.org/wiki/Unit_in_the_last_place) 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](http://www.exploringbinary.com/fast-path-decimal-to-floating-point-conversion/).
2. Custom DIY-FP implementation as in [double-conversion](https://github.com/floitsch/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 {#GenerationOptimization}

## Integer-to-String conversion {#itoa}

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](https://github.com/miloyip/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 {#dtoa}

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](https://github.com/floitsch/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](https://github.com/miloyip/dtoa-benchmark).

# Parser {#Parser}

## Iterative Parser {#IterativeParser}

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

### Grammar {#IterativeParserGrammar}

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 {#IterativeParserParsingTable}

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](http://hackingoff.com/compilers/predict-first-follow-set) for above grammar analysis.

### Implementation {#IterativeParserImplementation}

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:

![State Diagram](diagram/iterative-parser-states-diagram.png)

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.