From d29e5f96adda8f07da6226c7c93b5d3e418e68eb Mon Sep 17 00:00:00 2001 From: thebusytypist Date: Sat, 19 Jul 2014 10:39:23 +0800 Subject: [PATCH 1/8] Add document for implementation of iterative parser. --- doc/internals.md | 98 ++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 98 insertions(+) diff --git a/doc/internals.md b/doc/internals.md index 356bbb9..3d0ccf7 100644 --- a/doc/internals.md +++ b/doc/internals.md @@ -19,3 +19,101 @@ This section records some design and implementation details. ## Pow10() ## Local Stream Copy + +# 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](http://hackingoff.com/compilers/predict-first-follow-set) 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. +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. + +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. From 03ecc2e4f8ca419c1df7dd1f111a83500a18e493 Mon Sep 17 00:00:00 2001 From: thebusytypist Date: Sat, 19 Jul 2014 10:55:53 +0800 Subject: [PATCH 2/8] Add TOC and missing hash tags. --- doc/internals.md | 30 ++++++++++++++++-------------- 1 file changed, 16 insertions(+), 14 deletions(-) diff --git a/doc/internals.md b/doc/internals.md index 3d0ccf7..85fcf33 100644 --- a/doc/internals.md +++ b/doc/internals.md @@ -2,32 +2,34 @@ This section records some design and implementation details. -# Value +[TOC] -## Data Layout +# Value {#Value} -## Flags +## Data Layout {#DataLayout} -# Allocator +## Flags {#Flags} -## MemoryPoolAllocator +# Allocator {#Allocator} -# Parsing Optimization +## MemoryPoolAllocator {#MemoryPoolAllocator} -## Skip Whitespace with SIMD +# Parsing Optimization {#ParsingOptimization} -## Pow10() +## Skip Whitespace with SIMD {#SkipwhitespaceWithSIMD} -## Local Stream Copy +## Pow10() {#Pow10} -# Parser +## Local Stream Copy {#LocalStreamCopy} -## Iterative Parser +# Parser {#Parser} + +## Iterative Parser {#IterativeParser} The iterative parser is a recursive descent LL(1) parser implemented in a non-recursive manner. -### Grammar +### Grammar {#IterativeParserGrammar} The grammar used for this parser is based on strict JSON syntax: ~~~~~~~~~~ @@ -47,7 +49,7 @@ 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 +### Parsing Table {#IterativeParserParsingTable} Based on the grammar, we can construct the FIRST and FOLLOW set. @@ -101,7 +103,7 @@ Finally the parsing table can be constructed from FIRST and FOLLOW set: There is a great [tool](http://hackingoff.com/compilers/predict-first-follow-set) for above grammar analysis. -### Implementation +### Implementation {#IterativeParserImplementation} Based on the parsing table, a direct(or conventional) implementation that pushes the production body in reverse order From 5b549f1dce72308ac3e00525ce1897d9b99df6f1 Mon Sep 17 00:00:00 2001 From: thebusytypist Date: Sat, 19 Jul 2014 13:12:13 +0800 Subject: [PATCH 3/8] Elaborate the construction of state machine; add states diagram. --- .../iterative-parser-states-diagram.dot | 37 ++++++++++++++++++ .../iterative-parser-states-diagram.png | Bin 0 -> 175899 bytes doc/internals.md | 8 +++- 3 files changed, 44 insertions(+), 1 deletion(-) create mode 100644 doc/diagram/iterative-parser-states-diagram.dot create mode 100644 doc/diagram/iterative-parser-states-diagram.png diff --git a/doc/diagram/iterative-parser-states-diagram.dot b/doc/diagram/iterative-parser-states-diagram.dot new file mode 100644 index 0000000..57daa0d --- /dev/null +++ b/doc/diagram/iterative-parser-states-diagram.dot @@ -0,0 +1,37 @@ +digraph { + splines=true; + node [shape = doublecircle]; Start; Finish; + node [shape = circle]; + + Start -> ArrayInitial [label="["]; + Start -> ObjectInitial [label="{"]; + + ObjectInitial -> ObjectFinish [label="}"]; + ObjectInitial -> MemberKey [label="string"]; + + MemberKey -> KeyValueDelimiter [label=":"]; + + KeyValueDelimiter -> ArrayInitial [label="[ (push MemberValue)"]; + KeyValueDelimiter -> ObjectInitial [label="{ (push MemberValue)"]; + KeyValueDelimiter -> MemberValue [label="string|false|true|null|number"]; + + MemberValue -> ObjectFinish [label="}"]; + MemberValue -> MemberDelimiter [label=","]; + + MemberDelimiter -> MemberKey [label="string"]; + + ArrayInitial -> ArrayInitial [label="[ (push Element)"]; + ArrayInitial -> ArrayFinish [label="]"]; + ArrayInitial -> ObjectInitial [label="{ (push Element)"]; + ArrayInitial -> Element [label="string|flase|true|null|number"]; + + Element -> ArrayFinish [label="]"]; + Element -> ElementDelimiter [label=","]; + + ElementDelimiter -> ArrayInitial [label="[ (push Element)"]; + ElementDelimiter -> ObjectInitial [label="{ (push Element)"]; + ElementDelimiter -> Element [label="string|false|true|null|number"]; + + ArrayFinish -> Finish; + ObjectFinish -> Finish; +} diff --git a/doc/diagram/iterative-parser-states-diagram.png b/doc/diagram/iterative-parser-states-diagram.png new file mode 100644 index 0000000000000000000000000000000000000000..d209514a43eec6bfeb44b88543ca5470f70cb9ba GIT binary patch literal 175899 zcmYg&2Rznq`}VDpm5i*0tcDpX5rynXMHG>dG>nX_?5t>rLK?~}dzG0jBc&*#WG0an zg+zFdOTXuR-~Rv4=XsvuzQ5n=IIP^b`t(@t}r^E`_q9lR}~8 zqg{=^`P90z7yq&Pw3fOGWr_S>Z0XZG6bdippvnO~w}+!$t_F8bEGbO5s!&nuy$p=? zQw?g1ccv1iH=topJ)RzX&DpP2RyI8?|HxQw;qOcaX0f$LjaM1^ofKZHXYVV>PaFAN zk*{1~POD5!k>z$LRd?3N7x#vu9}j;WcATGmHTkuZKSYI}iiP|UQss_Y$xQxR>lx9) zkYN0Y2&R@Me-X~w$}a1h8W|D6D=p2rckf<7K|w`xb3S@{`q->2rcLjQ& zefY3WR(Sa{C{o3}Z{NImd2iP_`|t0!ZrQr^mG`6l9y4uqdu%({I5;@6v$K7RiuStC zjM8n~xbeKTbsF#9<= z%Ihex=42g#PdD;2Gj}*TI)*)de5FdA%-`>6JLqbAwA4f#6;X|w6zFmty_AV}J zcXyl$@NQ7SpTuugDwW*p*7_n1|AUQ zP!{FrZ_6-pTUz)ndG-z04Q@G(jFWk~6}$NO`T67TKk4A;R8>{|_`+2@YR9Q-8>KJC zUK)JMC4F(zzJ2?eN-keYy2ZoEdG*u_m&%?V9z#RJ+1dVEl0J)`A3uH+^s>Qc@TbbB 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z2XNrU{+aK?$cV|&D?mXj88aobu<*2$UVIH1Gnhy#+2P?x-DwGb4_OT)K~ja&T3YX= zQ=LuIxLh^`S@7(WZyB@PJkT0axv>f8N3;(7Xu0;;#JE|lIk2)SwMBc{ Date: Sat, 19 Jul 2014 13:14:26 +0800 Subject: [PATCH 4/8] Change image size. --- doc/internals.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/internals.md b/doc/internals.md index fd68b1f..2167a35 100644 --- a/doc/internals.md +++ b/doc/internals.md @@ -121,7 +121,7 @@ This also makes the estimation of stack size more easier. The final states diagram is shown below: -![States Diagram](diagram/iterative-parser-states-diagram.png) +![States Diagram](diagram/iterative-parser-states-diagram.png =400px) 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. From fab097f2f2fe1f7240ebad7ea806ab78969e9069 Mon Sep 17 00:00:00 2001 From: thebusytypist Date: Sat, 19 Jul 2014 13:16:31 +0800 Subject: [PATCH 5/8] Fix unit of image size. --- doc/internals.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/internals.md b/doc/internals.md index 2167a35..81c8eb2 100644 --- a/doc/internals.md +++ b/doc/internals.md @@ -121,7 +121,7 @@ This also makes the estimation of stack size more easier. The final states diagram is shown below: -![States Diagram](diagram/iterative-parser-states-diagram.png =400px) +![States Diagram](diagram/iterative-parser-states-diagram.png =400x) 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. From 1ed4a5ed84d372db167d58275942610f4861e58f Mon Sep 17 00:00:00 2001 From: thebusytypist Date: Sat, 19 Jul 2014 13:20:30 +0800 Subject: [PATCH 6/8] Use html for scaled image. --- doc/internals.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/internals.md b/doc/internals.md index 81c8eb2..767575a 100644 --- a/doc/internals.md +++ b/doc/internals.md @@ -121,7 +121,7 @@ This also makes the estimation of stack size more easier. The final states diagram is shown below: -![States Diagram](diagram/iterative-parser-states-diagram.png =400x) +States Diagram 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. From f728f57275f5ed694ce4679a61cc1f954c81b954 Mon Sep 17 00:00:00 2001 From: thebusytypist Date: Sat, 19 Jul 2014 13:21:53 +0800 Subject: [PATCH 7/8] Specify image height. --- doc/internals.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/internals.md b/doc/internals.md index 767575a..a4be80b 100644 --- a/doc/internals.md +++ b/doc/internals.md @@ -121,7 +121,7 @@ This also makes the estimation of stack size more easier. The final states diagram is shown below: -States Diagram +States Diagram 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. From 1ec83fb70356ed15e435c4de44b99f2298b6e3be Mon Sep 17 00:00:00 2001 From: thebusytypist Date: Sat, 19 Jul 2014 13:27:39 +0800 Subject: [PATCH 8/8] Use img attribute to specify height. --- doc/internals.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/internals.md b/doc/internals.md index a4be80b..f1889c2 100644 --- a/doc/internals.md +++ b/doc/internals.md @@ -121,7 +121,7 @@ This also makes the estimation of stack size more easier. The final states diagram is shown below: -States Diagram +States Diagram 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.