summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
-rw-r--r--Makefile111
-rw-r--r--README.ja.md2
-rw-r--r--README.md2
-rw-r--r--chapter10.iml28
-rw-r--r--docs/chapter10/10-grammar.ja.md131
-rw-r--r--docs/chapter10/10-grammar.md127
-rw-r--r--docs/chapter10/Makefile1
-rw-r--r--docs/chapter10/README.ja.md270
-rw-r--r--docs/chapter10/README.md422
-rw-r--r--docs/chapter10/example1.gv16
-rw-r--r--docs/chapter10/example1.json23
-rw-r--r--docs/chapter10/example1.svg118
-rw-r--r--docs/chapter10/example2a.gv17
-rw-r--r--docs/chapter10/example2a.json26
-rw-r--r--docs/chapter10/example2a.svg130
-rw-r--r--docs/chapter10/example2b.gv19
-rw-r--r--docs/chapter10/example2b.json27
-rw-r--r--docs/chapter10/example2b.svg135
-rw-r--r--docs/chapter10/example2c.gv14
-rw-r--r--docs/chapter10/example2c.json21
-rw-r--r--docs/chapter10/example2c.svg109
-rw-r--r--docs/chapter10/lattice.gv127
-rw-r--r--docs/chapter10/lattice.svg593
-rw-r--r--docs/chapter10/load-after-store-after.json19
-rw-r--r--docs/chapter10/load-after-store-after.svg97
-rw-r--r--docs/chapter10/load-after-store-before.json20
-rw-r--r--docs/chapter10/load-after-store-before.svg103
-rw-r--r--docs/chapter10/type-control.svg5
-rw-r--r--docs/chapter10/type-integer.svg5
-rw-r--r--docs/chapter10/type-memory.svg5
-rw-r--r--docs/chapter10/type-pointer.svg5
-rw-r--r--docs/chapter10/type-struct.svg5
-rw-r--r--docs/chapter10/type-tuple.svg5
-rw-r--r--src/main/java/com/seaofnodes/simple/GraphEvaluator.java181
-rw-r--r--src/main/java/com/seaofnodes/simple/IRPrinter.java2
-rw-r--r--src/main/java/com/seaofnodes/simple/IterPeeps.java6
-rw-r--r--src/main/java/com/seaofnodes/simple/Parser.java233
-rw-r--r--src/main/java/com/seaofnodes/simple/Utils.java26
-rw-r--r--src/main/java/com/seaofnodes/simple/node/AddNode.java2
-rw-r--r--src/main/java/com/seaofnodes/simple/node/BoolNode.java19
-rw-r--r--src/main/java/com/seaofnodes/simple/node/CastNode.java36
-rw-r--r--src/main/java/com/seaofnodes/simple/node/ConstantNode.java5
-rw-r--r--src/main/java/com/seaofnodes/simple/node/IfNode.java3
-rw-r--r--src/main/java/com/seaofnodes/simple/node/LoadNode.java90
-rw-r--r--src/main/java/com/seaofnodes/simple/node/LoopNode.java2
-rw-r--r--src/main/java/com/seaofnodes/simple/node/MemOpNode.java46
-rw-r--r--src/main/java/com/seaofnodes/simple/node/MinusNode.java8
-rw-r--r--src/main/java/com/seaofnodes/simple/node/NewNode.java36
-rw-r--r--src/main/java/com/seaofnodes/simple/node/Node.java83
-rw-r--r--src/main/java/com/seaofnodes/simple/node/NotNode.java24
-rw-r--r--src/main/java/com/seaofnodes/simple/node/PhiNode.java111
-rw-r--r--src/main/java/com/seaofnodes/simple/node/ProjNode.java12
-rw-r--r--src/main/java/com/seaofnodes/simple/node/RegionNode.java17
-rw-r--r--src/main/java/com/seaofnodes/simple/node/ReturnNode.java24
-rw-r--r--src/main/java/com/seaofnodes/simple/node/ScopeNode.java94
-rw-r--r--src/main/java/com/seaofnodes/simple/node/StartNode.java20
-rw-r--r--src/main/java/com/seaofnodes/simple/node/StopNode.java17
-rw-r--r--src/main/java/com/seaofnodes/simple/node/StoreNode.java67
-rw-r--r--src/main/java/com/seaofnodes/simple/print/SimpleGraphAdapter.java14
-rw-r--r--src/main/java/com/seaofnodes/simple/print/SimpleGraphObserver.java4
-rw-r--r--src/main/java/com/seaofnodes/simple/type/Field.java59
-rw-r--r--src/main/java/com/seaofnodes/simple/type/Type.java76
-rw-r--r--src/main/java/com/seaofnodes/simple/type/TypeInteger.java27
-rw-r--r--src/main/java/com/seaofnodes/simple/type/TypeMem.java20
-rw-r--r--src/main/java/com/seaofnodes/simple/type/TypeMemPtr.java82
-rw-r--r--src/main/java/com/seaofnodes/simple/type/TypeStruct.java127
-rw-r--r--src/main/java/com/seaofnodes/simple/type/TypeTuple.java30
-rw-r--r--src/test/java/com/seaofnodes/simple/Chapter01Test.java4
-rw-r--r--src/test/java/com/seaofnodes/simple/Chapter03Test.java2
-rw-r--r--src/test/java/com/seaofnodes/simple/Chapter04Test.java3
-rw-r--r--src/test/java/com/seaofnodes/simple/Chapter05Test.java16
-rw-r--r--src/test/java/com/seaofnodes/simple/Chapter06Test.java12
-rw-r--r--src/test/java/com/seaofnodes/simple/Chapter07Test.java26
-rw-r--r--src/test/java/com/seaofnodes/simple/Chapter08Test.java21
-rw-r--r--src/test/java/com/seaofnodes/simple/Chapter09Test.java41
-rw-r--r--src/test/java/com/seaofnodes/simple/Chapter10Test.java581
-rw-r--r--src/test/java/com/seaofnodes/simple/SchedulerTest.java73
-rw-r--r--src/test/java/com/seaofnodes/simple/TypeTest.java132
-rw-r--r--src/test/java/com/seaofnodes/simple/evaluator/Evaluator.java209
-rw-r--r--src/test/java/com/seaofnodes/simple/evaluator/Scheduler.java592
-rw-r--r--src/test/java/com/seaofnodes/simple/fuzzer/Fuzzer.java55
-rw-r--r--src/test/java/com/seaofnodes/simple/fuzzer/FuzzerUtils.java10
-rw-r--r--src/test/java/com/seaofnodes/simple/fuzzer/Reducer.java92
-rw-r--r--src/test/java/com/seaofnodes/simple/fuzzer/ScriptGenerator.java498
84 files changed, 6043 insertions, 665 deletions
diff --git a/Makefile b/Makefile
index 1874a5b5..5ed21084 100644
--- a/Makefile
+++ b/Makefile
@@ -1,106 +1,7 @@
-SHELL := /bin/bash
-# Shared packaging target; included after chapter source variables below.
-.DELETE_ON_ERROR:
+# Standalone compiler snapshot; shared rules also work in linearized checkouts.
+include $(firstword $(wildcard ../build-support/early-chapter.mk build-support/early-chapter.mk))
+test_cp += com.seaofnodes.simple.FuzzerWrap
-# for printing variable values
-# usage: make print-VARIABLE
-# > VARIABLE = value_of_variable
-print-% : ; @echo $* = $($*)
-
-# literal space
-space := $() $()
-
-# Decide OS-specific questions
-# jar-file seperator
-ifeq ($(OS),Windows_NT)
- SEP = ;
-else
- SEP = :
-endif
-# Find a reasonable ctags.
-CTAGS = $(shell which ctags)
-# Hack for MacOS: /usr/bin/ctags is unfriendly, so look for ctags from brew
-ifeq ($(UNAME),Darwin)
- CTAGS = $(shell brew list ctags 2> /dev/null | grep bin/ctags)
-endif
-
-# Fun Args to javac. Mostly limit to java8 source definitions, and fairly
-# aggressive lint warnings.
-JAVAC_ARGS = -g
-
-# Source code
-SIMPLE := com/seaofnodes/simple
-SRC := src/main/java
-TST := src/test/java
-CLZDIR:= build/classes
-main_javas := $(wildcard $(SRC)/$(SIMPLE)/*java $(SRC)/$(SIMPLE)/*/*java)
-test_javas := $(wildcard $(TST)/$(SIMPLE)/*java $(TST)/$(SIMPLE)/*/*java)
-main_classes := $(patsubst $(SRC)/%java,$(CLZDIR)/main/%class,$(main_javas))
-include $(firstword $(wildcard ../graph/graph.mk graph/graph.mk))
-include $(firstword $(wildcard ../print/print.mk print/print.mk))
-test_classes := $(patsubst $(TST)/%java,$(CLZDIR)/test/%class,$(test_javas))
-test_cp := $(patsubst $(TST)/$(SIMPLE)/%.java,com.seaofnodes.simple.%,$(wildcard $(TST)/$(SIMPLE)/*Test.java))
-classes = $(main_classes) $(test_classes)
-# All the libraries
-libs = $(wildcard lib/*jar)
-jars = $(subst $(space),$(SEP),$(libs))
-
-
-default_targets := $(main_classes) $(test_classes)
-# Optionally add ctags to the default target if a reasonable one was found.
-ifneq ($(CTAGS),)
-default_targets += tags
-endif
-
-default: $(default_targets)
-
-# Compile just the out-of-date files
-$(main_classes): build/classes/main/%class: $(SRC)/%java $(graph_javas) $(print_javas)
- @echo "compiling " $@ " because " $?
- @[ -d $(CLZDIR)/main ] || mkdir -p $(CLZDIR)/main
- @javac $(JAVAC_ARGS) -cp "$(CLZDIR)/main$(SEP)$(jars)" -sourcepath $(SRC) -d $(CLZDIR)/main $(main_javas)
-
-$(test_classes): $(CLZDIR)/test/%class: $(TST)/%java $(main_classes)
- @echo "compiling " $@ " because " $?
- @[ -d $(CLZDIR)/test ] || mkdir -p $(CLZDIR)/test
- @javac $(JAVAC_ARGS) -cp "$(CLZDIR)/test$(SEP)$(CLZDIR)/main$(SEP)$(jars)" -sourcepath $(TST) -d $(CLZDIR)/test $(test_javas)
-
-# Base launch line for JVM tests
-JVM=nice java -ea -cp "build/classes/main${SEP}${jars}${SEP}$(CLZDIR)/test"
-
-tests: $(default_targets)
- @echo "testing " $(test_cp)
- @$(JVM) org.junit.runner.JUnitCore $(test_cp) com.seaofnodes.simple.FuzzerWrap
-
-fuzzer: $(default_targets)
- @echo "testing " $(test_cp)
- @$(JVM) org.junit.runner.JUnitCore com.seaofnodes.simple.FuzzerWrap
-
-
-.PHONY: clean
-clean:
- rm -rf build
- rm -f TAGS
- (find . -name "*~" -exec rm {} \; 2>/dev/null; exit 0)
-
-# Download libs from maven
-lib: lib/junit-4.12.jar lib/hamcrest-core-1.3.jar
-
-# Jars
-lib/junit-4.12.jar:
- @[ -d lib ] || mkdir -p lib
- @(cd lib; wget https://repo1.maven.org/maven2/junit/junit/4.12/junit-4.12.jar)
-
-lib/hamcrest-core-1.3.jar:
- @[ -d lib ] || mkdir -p lib
- @(cd lib; wget https://repo1.maven.org/maven2/org/hamcrest/hamcrest-core/1.3/hamcrest-core-1.3.jar)
-
-# Build emacs tags (part of a tasty emacs ide experience)
-tags: $(main_javas) $(test_javas)
- @rm -f TAGS
- @$(CTAGS) -e --recurse=yes --extra=+q --fields=+fksaiS $(SRC) $(TST)
-
-include $(firstword $(wildcard ../build-support/chapter-release.mk build-support/chapter-release.mk))
-
-.PHONY: build
-build: $(main_classes)
+.PHONY: fuzzer
+fuzzer: $(test_classes)
+ java -ea -cp "$(CLZDIR)/main$(SEP)$(CLZDIR)/test$(SEP)$(jars)" org.junit.runner.JUnitCore com.seaofnodes.simple.FuzzerWrap
diff --git a/README.ja.md b/README.ja.md
index 0cdd98c2..26698a4a 100644
--- a/README.ja.md
+++ b/README.ja.md
@@ -46,7 +46,7 @@ Simple 言語のスタイルは、C または Java のサブセットに倣っã�
* [第7章](docs/chapter07/README.ja.md):`while` 文。ループ構造と先行的な Phi の導入。
* [第8章](docs/chapter08/README.ja.md):ループ構造の続き。必要時の Phi の生成、`break` 文と `continue` 文。
* [第9章](docs/chapter09/README.ja.md):大域的値番号付け。不動点に達するまでのピープホール最適化の反復。ワークリスト。
-* 第10章:ユーザー定義の構造体、ポインタ、null 解析。SSA で表す単一のメモリ値。ロード、ストア、実行可能な評価器。
+* [第10章](docs/chapter10/README.ja.md):ユーザー定義の構造体、ポインタ、null 解析。SSA で表す単一のメモリ値。ロード、ストア、実行可能な評価器。
* 第11章:同値類によるエイリアス解析。`MemMerge`、`MemPhi`、`BulkMemPhi` による必要時のメモリ分割。
* 第12章:参照フィールド、前方参照、再帰的な構造体。
* 第13章:大域的コード移動とスケジューリング。
diff --git a/README.md b/README.md
index 85489ce0..ce0d3e52 100644
--- a/README.md
+++ b/README.md
@@ -53,7 +53,7 @@ The Simple language is styled after a subset of C or Java.
* [Chapter 7](docs/chapter07/README.md): `while` statement; looping constructs - eager phi approach.
* [Chapter 8](docs/chapter08/README.md): Looping constructs continued, lazy phi creation, `break` and `continue` statements.
* [Chapter 9](docs/chapter09/README.md): Global Value Numbering. Iterative peepholes to fixpoint. Worklists.
-* Chapter 10: User defined structs, pointers and null
+* [Chapter 10](docs/chapter10/README.md): User defined structs, pointers and null
analysis. One memory value in SSA. Loads, stores, and an executable evaluator.
* Chapter 11: Equivalence class aliasing. Lazy memory
partitioning with `MemMerge`, `MemPhi`, and `BulkMemPhi`.
diff --git a/chapter10.iml b/chapter10.iml
new file mode 100644
index 00000000..a352db38
--- /dev/null
+++ b/chapter10.iml
@@ -0,0 +1,28 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<module type="JAVA_MODULE" version="4">
+ <component name="NewModuleRootManager" inherit-compiler-output="false">
+ <output url="file://$MODULE_DIR$/../build/idea/production/chapter10" />
+ <output-test url="file://$MODULE_DIR$/../build/idea/test/chapter10" />
+ <exclude-output />
+ <content url="file://$MODULE_DIR$">
+ <sourceFolder url="file://$MODULE_DIR$/src/main/java" isTestSource="false" />
+ <sourceFolder url="file://$MODULE_DIR$/src/test/java" isTestSource="true" />
+ <excludeFolder url="file://$MODULE_DIR$/build" />
+ <excludeFolder url="file://$MODULE_DIR$/target" />
+ </content>
+ <orderEntry type="inheritedJdk" />
+ <orderEntry type="sourceFolder" forTests="false" />
+ <orderEntry type="module" module-name="graph" />
+ <orderEntry type="module" module-name="print" />
+ <orderEntry type="module-library" scope="TEST">
+ <library name="JUnit4">
+ <CLASSES>
+ <root url="jar://$MODULE_DIR$/lib/junit-4.12.jar!/" />
+ <root url="jar://$MODULE_DIR$/lib/hamcrest-core-1.3.jar!/" />
+ </CLASSES>
+ <JAVADOC />
+ <SOURCES />
+ </library>
+ </orderEntry>
+ </component>
+</module>
diff --git a/docs/chapter10/10-grammar.ja.md b/docs/chapter10/10-grammar.ja.md
new file mode 100644
index 00000000..62e20597
--- /dev/null
+++ b/docs/chapter10/10-grammar.ja.md
@@ -0,0 +1,131 @@
+# 第10章の文法
+
+[English](10-grammar.md) | 日本語
+
+この文書は [原文](10-grammar.md) の日本語訳です。
+
+[第10章に戻る](README.ja.md)
+
+```antlrv4
+grammar SimpleLanguage;
+
+program
+ : statement+ EOF
+ ;
+
+statement
+ : returnStatement
+ | structDeclaration
+ | declStatement
+ | blockStatment
+ | expressionStatement
+ | ifStatement
+ | whileStatement
+ | breakStatement
+ | continueStatment
+ ;
+
+field
+ : 'int' IDENTIFIER ';'
+ ;
+
+fields
+ : field+
+ ;
+
+structDeclaration
+ : 'struct' IDENTIFIER '{' fields '}'
+ ;
+
+whileStatement
+ : 'while' '(' expression ')' statement
+ ;
+
+breakStatement
+ : 'break' ';'
+ ;
+
+continueStatement
+ : 'continue' ';'
+ ;
+
+ifStatement
+ : 'if' '(' expression ')' statement ('else' statement)?
+ ;
+
+
+expressionStatement
+ : IDENTIFIER '=' expression ';'
+ | fieldExpression '=' expression ';'
+ ;
+
+blockStatement
+ : '{' statement+ '}'
+ ;
+
+structName
+ : IDENTIFIER
+ ;
+
+declStatement
+ : 'int' IDENTIFIER '=' expression ';'
+ | structName ('?')? IDENTIFIER '=' expression ';'
+ ;
+
+returnStatement
+ : 'return' expression ';'
+ ;
+
+expression
+ : comparisonExpression
+ ;
+
+comparisonExpression
+ : additiveExpression (('==' | '!='| '>'| '<'| '>='| '<=') additiveExpression)*
+ ;
+
+additiveExpression
+ : multiplicativeExpression (('+' | '-') multiplicativeExpression)*
+ ;
+
+multiplicativeExpression
+ : unaryExpression (('*' | '/') unaryExpression)*
+ ;
+
+unaryExpression
+ : ('-') unaryExpression
+ | '!' unaryExpression
+ | primaryExpression
+ ;
+
+newExpression
+ : 'new' IDENTIFIER
+ ;
+
+fieldExpression
+ : primaryExpresson '.' IDENTIFIER
+ ;
+
+primaryExpression
+ : IDENTIFIER
+ | INTEGER_LITERAL
+ | 'true'
+ | 'false'
+ | 'null'
+ | newExpression
+ | '(' expression ')'
+ | fieldExpression
+ ;
+
+INTEGER_LITERAL
+ : [1-9][0-9]*
+ | [0]
+ ;
+
+IDENTIFIER
+ : NON_DIGIT (NON_DIGIT | DIGIT)*
+ ;
+
+NON_DIGIT: [a-zA-Z_];
+DEC_DIGIT: [0-9];
+```
diff --git a/docs/chapter10/10-grammar.md b/docs/chapter10/10-grammar.md
new file mode 100644
index 00000000..0c6fe7e0
--- /dev/null
+++ b/docs/chapter10/10-grammar.md
@@ -0,0 +1,127 @@
+# Grammar for Chapter 10
+
+English | [日本語](10-grammar.ja.md)
+
+```antlrv4
+grammar SimpleLanguage;
+
+program
+ : statement+ EOF
+ ;
+
+statement
+ : returnStatement
+ | structDeclaration
+ | declStatement
+ | blockStatment
+ | expressionStatement
+ | ifStatement
+ | whileStatement
+ | breakStatement
+ | continueStatment
+ ;
+
+field
+ : 'int' IDENTIFIER ';'
+ ;
+
+fields
+ : field+
+ ;
+
+structDeclaration
+ : 'struct' IDENTIFIER '{' fields '}'
+ ;
+
+whileStatement
+ : 'while' '(' expression ')' statement
+ ;
+
+breakStatement
+ : 'break' ';'
+ ;
+
+continueStatement
+ : 'continue' ';'
+ ;
+
+ifStatement
+ : 'if' '(' expression ')' statement ('else' statement)?
+ ;
+
+
+expressionStatement
+ : IDENTIFIER '=' expression ';'
+ | fieldExpression '=' expression ';'
+ ;
+
+blockStatement
+ : '{' statement+ '}'
+ ;
+
+structName
+ : IDENTIFIER
+ ;
+
+declStatement
+ : 'int' IDENTIFIER '=' expression ';'
+ | structName ('?')? IDENTIFIER '=' expression ';'
+ ;
+
+returnStatement
+ : 'return' expression ';'
+ ;
+
+expression
+ : comparisonExpression
+ ;
+
+comparisonExpression
+ : additiveExpression (('==' | '!='| '>'| '<'| '>='| '<=') additiveExpression)*
+ ;
+
+additiveExpression
+ : multiplicativeExpression (('+' | '-') multiplicativeExpression)*
+ ;
+
+multiplicativeExpression
+ : unaryExpression (('*' | '/') unaryExpression)*
+ ;
+
+unaryExpression
+ : ('-') unaryExpression
+ | '!' unaryExpression
+ | primaryExpression
+ ;
+
+newExpression
+ : 'new' IDENTIFIER
+ ;
+
+fieldExpression
+ : primaryExpresson '.' IDENTIFIER
+ ;
+
+primaryExpression
+ : IDENTIFIER
+ | INTEGER_LITERAL
+ | 'true'
+ | 'false'
+ | 'null'
+ | newExpression
+ | '(' expression ')'
+ | fieldExpression
+ ;
+
+INTEGER_LITERAL
+ : [1-9][0-9]*
+ | [0]
+ ;
+
+IDENTIFIER
+ : NON_DIGIT (NON_DIGIT | DIGIT)*
+ ;
+
+NON_DIGIT: [a-zA-Z_];
+DEC_DIGIT: [0-9];
+```
diff --git a/docs/chapter10/Makefile b/docs/chapter10/Makefile
new file mode 100644
index 00000000..6fa0f057
--- /dev/null
+++ b/docs/chapter10/Makefile
@@ -0,0 +1 @@
+include ../../graph/docs.mk
diff --git a/docs/chapter10/README.ja.md b/docs/chapter10/README.ja.md
new file mode 100644
index 00000000..19ee75eb
--- /dev/null
+++ b/docs/chapter10/README.ja.md
@@ -0,0 +1,270 @@
+# 第10章: 構造体とメモリ
+
+[English](README.md) | 日本語
+
+[前: 第9章](../chapter09/README.ja.md) |
+[次: 第11章](../chapter11/README.ja.md)
+
+この文書は [原文](README.md) の日本語訳です。
+
+この章では、ユーザー定義の構造体、ポインタ、割り当て、フィールドのロードとストア、null チェックを追加します。また、メモリへの作用も含めてグラフを実行する評価器を導入します。[文法](10-grammar.ja.md)は第10章と第11章で共通です。次の章ではメモリの表現を改善します。
+
+## 参照
+
+構造体は、名前と型を持つフィールドの集まりです。C や Java とよく似た、ごく伝統的なものです。新しい構造体は `new` キーワードで作ります。これはメモリを割り当て、参照を生成します。メモリの解放は後の章で扱います。フィールドへのアクセスには `.` 記法を使います。フィールドには、ほかの構造体への参照も含め、任意のスカラー値を格納でき、相互再帰も可能です。参照フィールドは通常の変数と同じように、null を許容することも禁止することもできます。
+
+```java
+struct Person {
+ String last; // Last name, must exist
+ String? middle; // Optional middle name
+ int age;
+};
+```
+
+ここには、null にならない final な String の `last`、null を許容する final な String の `middle`、そして `int age` があります。`int` として宣言されたすべてのフィールドと同じく、`age` は変更可能です。後の章では、変更可能な参照フィールドと不変の整数フィールドの両方を扱えるようにします。当面はこの選択で、よくある用途の大部分をカバーします。
+
+フィールドにアクセスするには参照が必要です。静的フィールドは後の章で追加します。
+
+フィールドへの参照には、必ず null でないポインタを使わなければなりません。これは型システムが直接チェックします。つまり Simple は、設計によって null ポインタ例外を禁止します。使用前に null をチェックする例を示します。
+
+```java
+print(ptr.age); // ERROR! ptr might be null
+
+if( ptr ) print(ptr.age); // Test before use
+
+// Field use can be far removed, as long as the check dominates
+if( ptr ) {
+ S1; // Other statements
+ while( other ) { ...ptr.age... }
+};
+```
+
+割り当てとストアが加わるため、メモリへの作用を扱う必要が生じます。
+
+## 1つのメモリ値
+
+算術ノードは使用する値に依存します。同じように、ロードはメモリを観測する時点にも依存します。この章では、各ストアは直前のメモリ状態を消費し、次の状態を生成します。ロードはメモリを消費しますが、変更しません。これによって、ソースプログラムのメモリ順序がグラフに明示されます。
+
+```java
+struct Point { int x; int y; }
+Point p = new Point;
+p.x = 3;
+p.y = arg;
+return p.x;
+```
+
+`NewNode` はポインタを生成します。パーサーはまず両フィールドにゼロを書き込むストアを出力し、次に `x` に 3、`y` に `arg` を格納します。最後のロードは、`y` へのストア後のメモリを観測します。異なるフィールドは独立ですが、この章では意図的にこの依存関係を残します。第11章で取り除きます。
+
+![1本の鎖がストアとロードを順序付ける](example1.svg)
+
+グラフは局所的な畳み込み前の依存関係を示しています。メモリに注目するため、制御エッジの大部分を省略し、合流が重要な箇所に最小限の True/False ノードだけを残しています。また、この配置は実行スケジュールではなく、依存関係を示します。
+
+| ノード | 入力 | 結果 |
+|---|---|---|
+| `New` | 制御と構造体の型 | 新しい、null でないオブジェクトポインタ |
+| `Store` | メモリ、ポインタ、フィールド名、値 | 更新されたメモリ全体の状態 |
+| `Load` | メモリ、ポインタ、フィールド名 | フィールドの値 |
+| `Start` | 外部からの入口 | 制御、初期メモリ、`arg` |
+| `Return` | 制御、メモリ、結果 | それまでの作用をすべて保持した完了 |
+
+制御とメモリをともに消費または生成するノードでは、制御がスロット 0、メモリがスロット 1 を占めます。Start の出力は `{ctrl, $mem, arg}`、Return の入力は `{ctrl, $mem, result}` です。
+
+メモリエッジは依存関係であり、ヒープのコピーではありません。グラフは合法な実行順序を決めます。ハードウェアでは Store が物理メモリを直接更新します。評価器では、Store がオブジェクトに付随するメモリ配列を更新します。
+
+## メモリは SSA 変数
+
+パーサーは `$mem` という名前の隠れた束縛を1つ保持します。ソースの識別子に `$` は含められないため、ユーザーコードからこの名前は使えません。メモリの読み出しと更新には、局所変数と同じ `ScopeNode` の検索・更新操作を使います。
+
+`if` の2つの分岐は、異なるメモリ値で終了する可能性があります。通常の Phi が、実行された分岐のメモリを選択します。
+
+```java
+struct Point { int x; int y; }
+Point p = new Point;
+if( arg ) p.x = 3; else p.x = 4;
+return p.x;
+```
+
+![分岐をまたぐメモリ全体](example2a.svg)
+
+ループには第8章の遅延 Phi 構築を再利用します。ループ内で `$mem` を読み出すか更新すると、最初は未完成のメモリ Phi を作ります。ループを閉じると、その後退エッジが与えられます。`break`、`continue`、入れ子のループ、早期 return でも、スカラー変数と同じスコープの仕組みを使います。
+
+```java
+struct Point { int x; int y; }
+Point p = new Point;
+while( arg ) {
+ p.x = arg;
+ arg = arg-1;
+};
+return p.x;
+```
+
+![ループを巡るメモリ全体](example2b.svg)
+
+すべての Return は現在のメモリ全体の値を消費します。返されるスカラーがストアに依存しない場合や、プログラムが変更したオブジェクト自体を返す場合でも、これによってストアが生き残ります。
+
+## 拡張された型の束
+
+この章では、Simple の型の束を大きく改訂します。
+
+![6つの領域と並列な名前付き構造体の選択肢を持つ型の束](./lattice.svg)
+
+図では **トップ** に `⊤`、**ボトム** に `⊥` を使います。接尾辞は領域を表します。`⊤:struct` は*構造体トップ*で、単独の `⊤` は全体のトップです。本文ではこれらの言葉を使い、コード例では実際の Java 定数を使います。実装の `$TOP` と `$BOT` という名前を図に表示する必要はありません。
+
+| 図 | 本文 | Java 定数 | 内部の構造体名 |
+|---|---|---|---|
+| `⊤:struct` | 構造体トップ | `TypeStruct.TOP` | `$TOP` |
+| `⊥:struct` | 構造体ボトム | `TypeStruct.BOT` | `$BOT` |
+
+図のエッジは束の順序を示し、トップはボトムの上にあります。省略記号を含む箱は、さらに並列の選択肢があることを省略して示すもので、追加の共用体型ではありません。フィールドとタプル要素の型の束は省略しています。フィールドの型には任意のスカラー型(Integer または Pointer)を使え、Tuple の型には Control や Memory を含む*任意の*束の型を使えます。
+
+型の束には、以下の領域があります。
+
+* ![制御](type-control.svg) は制御フローを表します。制御トップは到達不能な制御、制御ボトムは到達可能な制御です。
+* ![整数](type-integer.svg) には整数トップ、整数ボトムと、その間に並列に配置された定数があります。省略記号はほかの整数定数を表します。
+* ![ポインタ](type-pointer.svg)(新規)は構造体の型と null 許容性を組み合わせます。
+ * 接頭辞 `*` は、その型へのポインタを意味します。`*Person` は Person への null でないポインタです。接尾辞 `?` は null を含むため、`*Person?` は Person ポインタまたは null を許容します。
+ * ポインタ領域には構造体の束全体が2つ含まれます。1つは null を含まず、もう1つは null を含みます。図は両方について名前付きの選択肢を展開しています。単に2つのポインタ型があるわけではありません。
+ * `null` は構造体トップと null 許容フラグを組み合わせたもので、null でないオブジェクトの選択肢を持ちません。図では `null` とともに `*⊤:struct?` と表記しています。
+ * 構造体ボトムへのポインタは任意の構造体を指せます。図では null でない形式を `*⊥:struct`、null を許容する形式を `*⊥:struct?` と示します。後者がポインタボトムで、ポインタトップは `*⊤:struct` です。
+ * null は false、null でないポインタは true と評価されます。
+
+ > C との類推: 構造体ボトムへの null でないポインタは `void *` に似ています。ただし C の `void *` は null にもなれます。Simple はこの定数を `TypeMemPtr.VOIDPTR` と名付け、`*void` と表示します。構造体ボトム自体は、構造体の型に共通する下界であって、C の `void` 型ではありません。
+
+* ![構造体](type-struct.svg)(新規)は、ユーザー定義の名前付き構造体を表します。この章のフィールドは整数型です。
+ * 構造体トップはすべての名前付き構造体の上に、構造体ボトムはすべての名前付き構造体の下にあります。トップは高位の空の構造体の選択肢で、ボトムは保守的に任意の構造体名を含みます。
+ * `Person`、`s1`、`s2`、さらにほかの名前は、並列の選択肢です。継承はないため、異なる名前の構造体は、同じフィールドを持っていても互いの下に入りません。
+ * プログラムが宣言できる名前に固定の上限はありません。図の省略記号は、特別な無名構造体ではなく、さらに名前付きの選択肢があることを示します。各名前付きの箱は、それぞれのフィールド型の束を省略して表しています。
+* ![メモリ](type-memory.svg)(新規)はメモリ全体のトークンを表します。メモリトップとメモリボトムは `TypeMem.TOP` と `TypeMem.BOT` です。どちらも個別のフィールドに格納された値を記録しません。
+* ![タプル](type-tuple.svg) は、Start の制御、メモリ、引数のように、1つのノードから出る結果の集まりを表します。ピンク色の見出しは長さの異なるタプルを区別します。縦に積まれた黒い `type` の各セルは、別のタプルを含む可能性も含め、型の束全体を再び表しています。
+
+束には以下の操作を使います。
+
+* **Meet(交わり)** は最大下界を計算します。これらの例では、入力が表す選択肢を組み合わせるものと考えてください。
+ * `Person` と `s1` の meet は構造体ボトムです。この2つの名前だけを表す別の型はありません。
+ * `*Person` と `*s1` の meet は、構造体ボトムへの null でないポインタです。
+ * `*Person` と `null` の meet は `*Person?` です。
+ * 構造体ボトムへの null でないポインタと `null` の meet はポインタボトムです。
+ * `1` と `2` の meet は整数ボトムです。
+* **Dual(双対)** は束を中心線に対して反転します。トップとボトムが入れ替わり、dual を2回適用すると元の型に戻ります。
+ * 構造体トップと構造体ボトムは双対です。
+ * `null` と、構造体ボトムへの null でないポインタは双対です。
+ * ポインタの dual は、その構造体のフィールドにも dual を適用し、null 許容性を反転します。したがって `*Person` の dual は、一般には元の `*Person?` ではありません。フィールドの型も双対にする必要があります。図ではフィールドの詳細を省略しています。
+* **Join(結び)** は最小上界を計算します。meet と dual を通して `JOIN(x,y) = MEET(x.dual(),y.dual()).dual()` と定義されます。
+ * `Person` と `s1` の join は構造体トップです。
+ * `*Person` と `*s1` の join はポインタトップです。
+ * 構造体ボトムへの null でないポインタと `null` の join はポインタトップです。
+ * `1` と `2` の join は整数トップです。
+
+Sea of Nodes グラフの構築中には、値が生成された領域の中に留まることを保証します。つまり、ポインタフィールドに整数が入ることは(当然ながら)なく、汎用の `TOP` や `BOT` さえ入りません。強調しておきたい細かい点がいくつかあります。
+
+* Phi を作るとき、その初期型は最初の入力の宣言型に基づきます。ほかにどんな型との meet を取るかはまだわからないため、これは悲観的な型の割り当てです。
+* Phi の入力がすべてわかったら、宣言型の局所的なトップから始め、すべての入力型の meet を計算します。この計算により、Phi の型をより精密にします。
+
+## パーサーの拡張
+
+これまでの章で使える型は Integer だけでした。今では変数を Integer 型にも、Struct 型へのポインタにもできます。このため、パーサーは変数の宣言型を追跡するようになりました(以前は Integer だけでした)。変数の宣言型は、その変数に合法的に代入できる値の集合を定義します。Sea of Nodes グラフは、変数に代入された値の実際の型も追跡します。これらの型の遷移は前節で説明した型の束によって定義されます。
+
+## null ポインタ解析
+
+Simple 言語の構文では、ポインタ変数が null を許容すると指定できます。そのうえで、null ポインタ例外が発生することを防ぎます。コンパイラは null チェックが必要かどうかを判定し、必要なのに存在しなければプログラムを拒否します(ユーザーに null チェックの挿入を求めます)。
+
+パーサーは、ポインタ変数の真偽を調べる条件に遭遇すると、その知識を使って以降の分岐で型情報を絞り込みます。
+
+動機となる例を2つ示します。
+
+```java
+struct Bar { int a; }
+Bar? bar = new Bar;
+if (arg) bar = null;
+if( bar ) bar.a = 1;
+```
+
+上で `bar` が `null` でなければ、`bar.a` への代入を許可したいところです。最後の行に null チェックがなく、たとえば単に `bar.a = 1;` だった場合、`Java` はこのプログラムをコンパイルしますが NPE を投げます。Simple は null チェックが必要だと指摘して、プログラムを拒否します。
+
+```java
+struct Bar { int a; }
+Bar? bar = new Bar;
+if (arg) bar = null;
+int rez = 3;
+if( !bar ) rez=4;
+else bar.a = 1;
+```
+
+`bar` が `null` なら、`!bar` を `true` と評価したいところです。else 分岐では `bar` が null でないとわかるため、`bar.a` への代入は許可されるべきです。
+
+この動作を可能にするため、以下の拡張を行います。
+
+* 型システムでポインタが null かどうかを追跡します。したがって、ptr 型が流れるすべての Node でも追跡します。
+* `If` ノードの述語が ptr 値なら、その述語をアップキャストで「包みます」。アップキャストは true 分岐で null の可能性を取り除き、ポインタを使えるようにします。
+* アップキャストには、構造体ボトムへの null でないポインタ(`TypeMemPtr.VOIDPTR`)への `Cast` を使います。元のポインタ型とこの型の join を取ります。これは図の `*⊥:struct` に対応します。この JOIN 操作は、ptr についてすでにわかっていることをすべて保持し、ptr が null でないという新しい知識を追加します。
+* アップキャストは `CastNode` 演算で表し、適用可能であれば現在のスコープで元の述語のすべての出現をアップキャストに置き換えます。変更は `If` の各分岐に局所的で、true 分岐と false 分岐で別々に行います(false 分岐では述語を反転します)。
+* アップキャストにも通常のピープホール最適化を適用します。入力の型がアップキャストのスーパータイプなら `CastNode` を除去できます。`ScopeNode.upcast()` メソッドと `CastNode` を参照してください。
+* Not の型を計算するとき、入力が ptr なら Integer 型を生成します。入力が `null` なら `1`、null でない ptr 値なら `0` に変換します。`NotNode.compute()` を参照してください。
+
+## 局所的なメモリ最適化
+
+**同じポインタとフィールド**へのストアの直後にあるロードは、格納した値を使えます。`p.x` に `arg` を書き込んだばかりなので、その読み戻しにメモリアクセスは不要です。
+
+```java
+struct Box { int x; }
+Box p = new Box;
+p.x = arg;
+return p.x; // Can return arg directly.
+```
+
+| 変換前: 格納した値を読み戻す | 変換後: 値を直接使う |
+|---|---|
+| ![変換前: Return は Store p.x の後の Load p.x を読む](load-after-store-before.svg) | ![変換後: Return は arg を使い、Store のメモリも引き続き消費する](load-after-store-after.svg) |
+
+Return の結果入力は Load から `arg` に変わり、使われなくなった Load は消えます。Return は引き続き Store のメモリを消費するので、書き込みは保持されます。
+
+同じアドレスへの別のストアの直後にあるストアは、先行するストアを必要とするほかのユーザーがなければ、その先行ストアを破棄できます。この別の書き換えにより、上の図に残っているゼロ初期化のストアも除去できます。ここでも、ポインタとフィールドの両方のチェックが重要です。
+
+ロードはメモリ Phi を通って上に移動することもできます。これは[第5章の Phi を通って上に押し上げる最適化](../chapter05/README.ja.md#phi-を通して加算を押し上げる)を拡張したものです。そこでは流入経路上で算術を畳み込みましたが、ここでは対応するストアに対してロードを畳み込めます。「Phi の Load は、Load の Phi になる」。グラフの記法では次のようになります。
+
+```text
+Load(Phi(r, m0, m1), p.x)
+ -> Phi(r, Load(m0, p.x), Load(m1, p.x))
+```
+
+メモリの Phi が、ロードされた値の Phi になります。このピープホール変換は Node の総数を増やすので、利益のヒューリスティックは、少なくとも1つの Load が畳み込まれることを要求します。ループの場合、この Load は**後退エッジ**でなければなりません。入口だけで畳み込むと、サイクルに沿って無限に押し上げ続けられるロードが残るためです。算術の書き換えと同じく、畳み込みを露出させることは、変換後の後片付けに期待するものではなく、グラフを変換する判断の一部です。[`LoadNode.idealize()`](../../src/main/java/com/seaofnodes/simple/node/LoadNode.java) を参照してください。
+
+逆方向は[第5章の共通演算の引き下げ](../chapter05/README.ja.md#例3)を拡張します。「Load の Phi は、Phi の Load になる」。対応する Load や Store の Phi は、合流後の1つの演算にできます。たとえば、次の2つの書き込みは、
+
+```java
+if (arg) s.x = arg+1;
+else s.x = arg+2;
+```
+
+`s.x = Phi(arg+1,arg+2)` になり、最終的には `s.x = arg+Phi(1,2)` にできます。一般的な書き換えでは、メモリやポインタも含め、異なる各オペランドについて正しく型付けされた別々の Phi を作ります。メモリ演算にはさらに注意が必要です。型の精度が失われる可能性があるので、それも利益判定の一部としてチェックします。
+
+また、Store を移動したときに元の作用が消えるように、Store にほかのユーザーがあってはいけません。Load については、そのメモリのユーザーに、競合する書き込みやメモリの合流が生じる可能性があってはいけません。そうでなければ、読み出しを遅らせると値が変わり得ます。ずっと後に反依存を追加しますが、今は保守的にチェックします。
+
+### 簡単な最適化を見逃す
+
+1本のメモリ鎖は正しいものの保守的です。オブジェクトが同一でも、`y` へのストアが、先行する `x` へのストアからの値の転送を妨げることがあります。これは最適化の取りこぼしであり、次の章の動機となります。
+
+## グラフの実行
+
+評価器には、小さな遅延スケジューラがあります。ロードは、同じメモリ定義を消費する後続のストアより先に実行しなければなりません。ロードからストアへの通常のデータエッジがなくてもそうです。これらのロード/ストアの反依存が、明示的なグラフエッジを補います。
+
+たとえば `p` の割り当て後の `int old = p.x; p.x = arg; return old;` は、最後のストアの前の値を読みます。以下のグラフでは Load と Store が同じメモリ状態を消費します。スケジューラは Load を先に実行しなければなりません。両者の間に通常のデータエッジはありません。
+
+![ロードは値を上書きするストアより前でなければならない](example2c.svg)
+
+このスケジューラは本章の実行には十分です。第13章では、大域的コード移動とスケジューリングを独立した話題として扱います。
+
+## ビルドとテスト
+
+このディレクトリで、JDK 21 以降、Make、シェルを使って実行します。
+
+```sh
+make lib
+make tests
+make release
+make view
+```
+
+Make は Maven を使わずにこのスナップショットを直接ビルドします。`make release` は `build/release/simple.jar` を生成し、`make view` は共通の対話的グラフビューアを起動します。Maven と IDEA のモジュール記述も提供されています。テストには、これまでのすべての章、メモリ順序、返されたオブジェクトの内容、入れ子のループが含まれます。
+
+次の[第11章](../chapter11/README.ja.md)では、パーサーのこの1つの束縛を維持しつつ、グラフを独立したメモリスライスに分割します。
diff --git a/docs/chapter10/README.md b/docs/chapter10/README.md
new file mode 100644
index 00000000..a07a175f
--- /dev/null
+++ b/docs/chapter10/README.md
@@ -0,0 +1,422 @@
+# Chapter 10: Structs and Memory
+
+English | [日本語](README.ja.md)
+
+[Previous: Chapter 9](../chapter09/README.md) |
+[Next: Chapter 11](../chapter11/README.md)
+
+This chapter adds user-defined structs, pointers, allocation, field loads and
+stores, and null checking. It also introduces an evaluator that executes the
+graph, including its memory effects. The [grammar](10-grammar.md) is the
+same in Chapters 10 and 11; the next chapter improves the memory representation.
+
+## References
+
+Structs are a collection of named and typed fields; very classically similar to
+C or Java. New structs are made with the `new` keyword; this allocates memory
+and produces a reference. Freeing memory awaits a later chapter. Fields are
+accessed with the `.` notation. The fields can hold any scalar value,
+including reference to other structs and be mutually recursive. Any reference
+field can allow null or not, same as a normal variable.
+
+```java
+struct Person {
+ String last; // Last name, must exist
+ String? middle; // Optional middle name
+ int age;
+};
+```
+
+Here we have fields `last`, a not-null final String, and `middle` a nullable
+and final String, and an `int age`. Like all `int` declared fields, it is
+mutable. Later chapters will allow both mutable reference fields and immutable
+integer fields; for now this choice covers most of the common ground.
+
+You have to have a reference to get at the fields, static fields are added in a later chapter.
+
+All field references have to be against not-null pointers, and this is directly
+checked in the type system. I.e., Simple disallows null-pointer-exceptions by
+design. Some examples of null checking before using:
+
+```java
+print(ptr.age); // ERROR! ptr might be null
+
+if( ptr ) print(ptr.age); // Test before use
+
+// Field use can be far removed, as long as the check dominates
+if( ptr ) {
+ S1; // Other statements
+ while( other ) { ...ptr.age... }
+};
+```
+
+Allocation, as well as Stores, means we now have memory effects to deal with.
+
+
+## One memory value
+
+Arithmetic nodes depend on the values they use, similarly a load also depends
+on when it observes memory. In this chapter every store consumes the preceding
+memory state and produces the next one, and a load consumes memory without
+changing it. This makes the source program's memory ordering explicit in the
+graph.
+
+```java
+struct Point { int x; int y; }
+Point p = new Point;
+p.x = 3;
+p.y = arg;
+return p.x;
+```
+
+`NewNode` produces the pointer. The parser emits stores of zero for both fields,
+then stores 3 into `x` and `arg` into `y`. The final load observes the memory
+after the `y` store. We deliberately keep that dependency here, even though
+different fields are independent. Chapter 11 will remove it.
+
+![One chain orders stores and loads](example1.svg)
+
+The graphs show dependencies before local folding. To focus on memory, remove
+most control edges leaving behind minimal True/False nodes when merges are
+important. Also, the layout shows dependencies, not an execution schedule.
+
+| Node | Inputs | Result |
+|----------|---|---|
+| `New` | Control and a struct type | A fresh, non-null object pointer |
+| `Store` | Memory, pointer, field name, value | The updated whole-memory state |
+| `Load` | Memory, pointer, field name | The value of the field |
+| `Start` | External entry | Control, initial memory, and `arg` |
+| `Return` | Control, memory, result | Completion with all preceding effects retained |
+
+For nodes consuming or producing both control and memory, control occupies slot
+0 and memory slot 1. Start's outputs are `{ctrl, $mem, arg}`; Return's inputs
+are `{ctrl, $mem, result}`.
+
+The memory edge is a dependency, not a copy of the heap. The graph determines
+the legal execution order. In hardware, a Store updates physical memory
+directly. In the evaluator, a Store updates an object's attached memory array.
+
+## Memory is an SSA variable
+
+The parser keeps one hidden binding named `$mem`. Source identifiers cannot
+contain `$`, so user code cannot name it. Reading and updating memory uses the
+same `ScopeNode` lookup and update operations as a local variable.
+
+For an `if`, the two branches can finish with different memory values. An
+ordinary Phi selects the memory from the branch that executed:
+
+```java
+struct Point { int x; int y; }
+Point p = new Point;
+if( arg ) p.x = 3; else p.x = 4;
+return p.x;
+```
+
+![Whole memory across a branch](example2a.svg)
+
+Loops reuse Chapter 8's lazy Phi construction. Reading or updating `$mem` in a
+loop creates an initially incomplete memory Phi. Closing the loop supplies its
+backedge. `break`, `continue`, nested loops, and early returns use the same scope
+mechanics as scalar variables.
+
+```java
+struct Point { int x; int y; }
+Point p = new Point;
+while( arg ) {
+ p.x = arg;
+ arg = arg-1;
+};
+return p.x;
+```
+
+![Whole memory around a loop](example2b.svg)
+
+Every Return consumes the current whole-memory value. This keeps stores alive
+even when the returned scalar does not depend on them, or when the program
+returns the modified object itself.
+
+## Enhanced Type Lattice
+
+The Type Lattice for Simple has a major revision in this chapter.
+
+![Type lattice with six domains and parallel named struct alternatives](./lattice.svg)
+
+The diagram uses `⊤` for **top** and `⊥` for **bottom**. A suffix names the
+domain: `⊤:struct` is *struct top*, while the bare `⊤` is global top. In the
+prose we use those words; in code examples we use the actual Java constants.
+The implementation's `$TOP` and `$BOT` names need not appear in the diagram:
+
+| Diagram | Prose | Java constant | Internal struct name |
+|---|---|---|---|
+| `⊤:struct` | struct top | `TypeStruct.TOP` | `$TOP` |
+| `⊥:struct` | struct bottom | `TypeStruct.BOT` | `$BOT` |
+
+Edges in this diagram show lattice order, with top above bottom. Boxes
+containing an ellipsis abbreviate further parallel alternatives; they are not
+extra union types. Field and tuple-element type lattices are elided in the
+diagram. Field types can be any scalar type (Integer or Pointer), Tuple types
+can be *any* lattice type, including Control and Memory.
+
+Within the type lattice, we now have the following domains:
+
+* ![Control](type-control.svg) represents control flow: unreachable control
+ at control top, and reachable control at control bottom.
+* ![Integer](type-integer.svg) has integer top, integer bottom, and parallel
+ constants between them. The ellipses stand for the other integer constants.
+* ![Pointer](type-pointer.svg) (new) combines a struct type with nullability.
+ * The prefix `*` means pointer-to: `*Person` is a non-null pointer to a Person.
+ The suffix `?` includes null, so `*Person?` permits a Person pointer or null.
+ * The pointer domain contains the whole struct lattice twice, once without
+ null and once with it. The diagram expands named alternatives in both
+ copies. It is not just two individual pointer types.
+ * `null` combines struct top with the nullable flag: it has no non-null
+ object alternative. The diagram labels it `*⊤:struct?` as well as `null`.
+ * A pointer to struct bottom can point to any struct. The diagram shows the
+ non-null form as `*⊥:struct` and the nullable form as `*⊥:struct?`.
+ The latter is pointer bottom; pointer top is `*⊤:struct`.
+ * Null evaluates to false; non-null pointers evaluate to true.
+
+ > C analogy: the non-null pointer to struct bottom is akin to `void *`, except
+ > that C's `void *` may also be null. Simple names this constant
+ > `TypeMemPtr.VOIDPTR` and prints it as `*void`. Struct bottom itself is the
+ > common lower bound of struct types, not C's `void` type.
+
+* ![Struct](type-struct.svg) (new) represents user-defined named structs.
+ Fields have integer types in this chapter.
+ * Struct top lies above every named struct; struct bottom lies below every
+ named struct. Top is the high/empty struct alternative, while bottom
+ conservatively includes any struct name.
+ * `Person`, `s1`, `s2`, and further names are parallel alternatives. There is
+ no inheritance, so different named structs do not nest beneath one another,
+ even if they have identical fields.
+ * There is no fixed bound on the names a program can declare. The diagram's
+ ellipsis stands for more named alternatives, not a distinguished unnamed
+ struct. Each named box abbreviates its own field-type lattice.
+* ![Memory](type-memory.svg) (new) represents the whole-memory token.
+ Memory top and memory bottom are `TypeMem.TOP` and `TypeMem.BOT`. Neither
+ records the values stored in individual fields.
+* ![Tuple](type-tuple.svg) represents a collection of results from one node,
+ such as Start's control, memory, and argument. The pink headers identify tuples
+ of different lengths; each vertically stacked black `type` cell stands for
+ the full type lattice again, including the possibility of another tuple.
+
+We use the following operations on the lattice:
+
+* **Meet** computes the greatest lower bound. For these examples, think of
+ combining the alternatives represented by its inputs.
+ * The meet of `Person` and `s1` is struct bottom. There is no separate type
+ representing exactly those two names.
+ * The meet of `*Person` and `*s1` is the non-null pointer to struct bottom.
+ * The meet of `*Person` and `null` is `*Person?`.
+ * The meet of the non-null pointer to struct bottom and `null` is pointer bottom.
+ * The meet of `1` and `2` is integer bottom.
+* **Dual** reflects the lattice about its centerline: top and bottom exchange
+ places, and applying dual twice returns the original type.
+ * Struct top and struct bottom are duals.
+ * `null` and the non-null pointer to struct bottom are duals.
+ * A pointer's dual also duals its struct's fields and flips nullability. Thus
+ the dual of `*Person` is not generally the original `*Person?`: the field
+ types must be dualed too. Those field details are omitted in the diagram.
+* **Join** computes the least upper bound. It is defined through meet and dual:
+ `JOIN(x,y) = MEET(x.dual(),y.dual()).dual()`.
+ * The join of `Person` and `s1` is struct top.
+ * The join of `*Person` and `*s1` is pointer top.
+ * The join of the non-null pointer to struct bottom and `null` is pointer top.
+ * The join of `1` and `2` is integer top.
+
+As we construct the Sea of Nodes graph, we ensure that values stay inside the
+domain they are created in - that is pointer fields will never contain integers
+(obviously)... nor even the generic `TOP` and `BOT`. There are a couple of
+nuances worth highlighting.
+
+* When Phis are created, the initial type of the Phi is based on the declared
+ type of its first input. This is a pessimistic type assignment because we do
+ not yet know what other types will be met.
+
+* When all the inputs of the Phi are known, we start with the local Top of the
+ declared type, and then compute a meet of all the input types. This
+ computation results in a more refined type for the Phi.
+
+## Parser Enhancements
+
+In previous chapters the only available type was Integer. Now, variables can
+be of Integer type or pointer to Struct types. To support this, the Parser now
+tracks the declared type of a variable (used to only be Integer!). The
+declared type of a variable defines the set of values that can be legitimately
+assigned to the variable. The Sea of Nodes graph also tracks the actual type
+of values assigned to variables, these type transitions are defined by the Type
+lattice described in the previous section.
+
+## Null Pointer Analysis
+
+The Simple language syntax allows a pointer variable to be specified as
+null-able - and it prevents ever throwing a Null Pointer Exception. The
+compiler decides if a null check is needed, and if needed and missing
+the compiler rejects the program (asking the user to insert a null check).
+
+When the Parser encounters conditions that test the truthiness of a pointer variable, it uses this knowledge to refine the type information in the branches that follow.
+
+Here are two motivating examples:
+
+```java
+struct Bar { int a; }
+Bar? bar = new Bar;
+if (arg) bar = null;
+if( bar ) bar.a = 1;
+```
+
+If `bar` is not `null` above, then we would like to allow the assignment to
+`bar.a`. If the final line lacked the null check, e.g. a plain `bar.a = 1;`,
+then `Java` would compile this program but throw a NPE, and Simple rejects the
+program pointing out a null check is required.
+
+
+```java
+struct Bar { int a; }
+Bar? bar = new Bar;
+if (arg) bar = null;
+int rez = 3;
+if( !bar ) rez=4;
+else bar.a = 1;
+```
+
+If `bar` is `null` then we would like `!bar` to evaluate to `true`. In the else
+branch we know `bar` is not null, hence the assignment to `bar.a` should be
+allowed.
+
+To enable this behaviour, we make the following enhancements.
+
+* We track the null-ness of a pointer in the Type system, and hence in every
+ Node that ptr type flows through.
+
+* We "wrap" the predicate of an `If` node with an up-cast when we see that the
+ predicate is a ptr value. The up-cast removes the null possibility on the
+ true branch making it legal to use the pointer.
+
+* The up-cast uses a `Cast` with the non-null pointer to struct bottom
+ (`TypeMemPtr.VOIDPTR`). It joins the original pointer type with that type,
+ corresponding to `*⊥:struct` in the diagram. This JOIN operation preserves
+ everything we already know about ptr, and also adds the new knowledge that
+ the ptr is not-null.
+
+* The up-cast is represented by the `CastNode` op, and if applicable, we
+ replace all occurrences of the original predicate with the up-cast in the
+ current scope. The change is local to each branch of the `If`; occurring
+ separately for the true and the false branches of the `If` (and the false
+ branch inverts the predicate).
+
+* The up-cast peepholes normally; if its input's type is a super type of the
+ up-cast, then the `CastNode` can be removed. See `ScopeNode.upcast()` method,
+ and `CastNode`.
+
+* When computing a type for Not, we produce an Integer type when its input is a
+ ptr. When the input is a `null` we convert to `1` and when it is a non-null
+ ptr value, we convert to `0`. See `NotNode.compute()`.
+
+
+## Local memory optimizations
+
+A load immediately following a store to the **same pointer and field** can use
+the stored value. We just wrote `arg` into `p.x`, so reading it back needs no
+memory access:
+
+```java
+struct Box { int x; }
+Box p = new Box;
+p.x = arg;
+return p.x; // Can return arg directly.
+```
+
+| Before: read back the stored value | After: use the value directly |
+|---|---|
+| ![Before: Return reads Load p.x after Store p.x](load-after-store-before.svg) | ![After: Return uses arg and still consumes the Store's memory](load-after-store-after.svg) |
+
+Return's result input changes from the Load to `arg`, and the unused Load
+disappears. Return still consumes the Store's memory, so the write is retained.
+
+A store immediately following another store to the same address can also
+discard the earlier store when no other user needs it. That separate rewrite
+can remove the zero-initialization store still shown above. Again, both the
+pointer and field checks matter.
+
+A load can also move up through a memory Phi. This extends
+[Chapter 5's push-through-Phi optimization](../chapter05/README.md#pushing-addition-up-through-a-phi):
+there, arithmetic folds on the incoming paths; here, a load can fold against a
+matching store. "A Load of a Phi becomes a Phi of Loads". In graph notation:
+
+```text
+Load(Phi(r, m0, m1), p.x)
+ -> Phi(r, Load(m0, p.x), Load(m1, p.x))
+```
+
+The Phi of memory becomes a Phi of loaded values. Since this peep increases
+the overall Node count, the profit heurstic requires at least one Load to fold.
+On a loop, that Load must be the **backedge**: folding only on entry would
+leave a load that could be pushed around the cycle indefinitely. As with the
+arithmetic rewrite, exposing a fold is part of deciding to transform the
+graph, not just a hoped-for cleanup afterward. See
+[`LoadNode.idealize()`](../../src/main/java/com/seaofnodes/simple/node/LoadNode.java).
+
+The reverse direction extends
+[Chapter 5's common-operation pull-down](../chapter05/README.md#example-3):
+"A Phis of Loads becomes a Load of a Phi". A Phi of matching Loads or Stores
+can become one operation after the join. For example, these two writes:
+
+```java
+if (arg) s.x = arg+1;
+else s.x = arg+2;
+```
+
+can become `s.x = Phi(arg+1,arg+2)` and eventually `s.x = arg+Phi(1,2)`. The
+general rewrite creates a separate, correctly typed Phi for each differing
+operand, including memory and pointers. We must be more careful here with
+memory ops; it is possible to lose some type precision, so we check for that as
+part of the profitability.
+
+Also, a Store must have no other users, so moving it removes the original
+effect. A Load must have no possible conflicting writes or memory merges among
+its memory's users; otherwise delaying the read could change its value. Much
+later, we will be adding anti-dependences, but for now we do a conservative
+check.
+
+### Missing an easy one
+
+The single memory chain is correct but conservative. A store to `y` can
+prevent forwarding an earlier store to `x`, even when the objects are
+identical. This is a missed optimization and it motivates the next chapter.
+
+## Executing the graph
+
+The evaluator includes a small late scheduler. A load must execute before a
+later store that consumes the same memory definition, even though there is no
+ordinary data edge from the load to that store. These load/store
+anti-dependencies supplement the explicit graph edges.
+
+For example, after allocating `p`, `int old = p.x; p.x = arg; return old;`
+reads the value before the final store. In the graph below, Load and Store
+consume the same memory state. The scheduler must execute the Load first;
+there is no ordinary data edge between them.
+
+![A load must precede a clobbering store](example2c.svg)
+
+The scheduler is sufficient to execute this chapter. Chapter 13 develops
+global code motion and scheduling as a separate topic.
+
+## Build and test
+
+From this directory, with JDK 21 or newer, Make, and a shell:
+
+```sh
+make lib
+make tests
+make release
+make view
+```
+
+Make builds this snapshot directly, without Maven. `make release` produces
+`build/release/simple.jar`; `make view` launches the shared interactive graph
+viewer. Maven and IDEA module descriptions are also supplied. Tests include all
+earlier chapters, memory ordering, returned object contents, and nested loops.
+
+Next, [Chapter 11](../chapter11/README.md) keeps this one parser binding while
+splitting the graph into independent memory slices.
diff --git a/docs/chapter10/example1.gv b/docs/chapter10/example1.gv
new file mode 100644
index 00000000..9585b8e4
--- /dev/null
+++ b/docs/chapter10/example1.gv
@@ -0,0 +1,16 @@
+digraph Memory {
+ // IR styles match graph/web/render.js; arrows are use -> definition.
+ graph [bgcolor="#fafbfc" fontname="Helvetica" nodesep=0.35 ranksep=0.55 splines=ortho];
+ node [fontname="Helvetica" fontsize=12 color="#758191" fontcolor="#152330" shape=box style="rounded,filled" fillcolor="#edf3f7"];
+ edge [fontname="Helvetica" fontsize=9 color="#536477" fontcolor="#364352" arrowsize=0.7 penwidth=1.5];
+
+ rankdir=RL;
+
+ M0 [label="Initial memory" shape=octagon style="filled" fillcolor="#dcecff"];
+ X [label="Store p.x = 3" shape=octagon style="filled" fillcolor="#dcecff"];
+ Y [label="Store p.y = arg" shape=octagon style="filled" fillcolor="#dcecff"];
+ L [label="Load p.x" shape=box style="rounded,filled" fillcolor="#edf3f7"];
+ L -> Y -> X -> M0 [color="#2867b2"];
+ Return -> Y [color="#2867b2"]; Return -> L;
+ Return [shape=box style="filled" fillcolor="#fff1c4"];
+}
diff --git a/docs/chapter10/example1.json b/docs/chapter10/example1.json
new file mode 100644
index 00000000..a111ae88
--- /dev/null
+++ b/docs/chapter10/example1.json
@@ -0,0 +1,23 @@
+{
+ "ver": 1,
+ "comp": "chapter10/docs/example1.svg",
+ "step": 1,
+ "roots": [13],
+ "scope": 0,
+ "nodes": [
+ {"id": 1, "label": "Start", "type": null, "kind": "CTRL", "edges": [], "proj": null},
+ {"id": 3, "label": "$mem", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 1, "role": "MEM", "label": null}], "proj": {"par": 1, "idx": 1}},
+ {"id": 4, "label": "arg", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "DATA", "label": null}], "proj": {"par": 1, "idx": 2}},
+ {"id": 5, "label": "new Point", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}], "proj": null},
+ {"id": 6, "label": "#0", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "ASSOC", "label": null}], "proj": null},
+ {"id": 7, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 3, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 6, "role": "DATA", "label": null}], "proj": null},
+ {"id": 8, "label": "Store p.y", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 7, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 6, "role": "DATA", "label": null}], "proj": null},
+ {"id": 9, "label": "#3", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "ASSOC", "label": null}], "proj": null},
+ {"id": 10, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 8, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 9, "role": "DATA", "label": null}], "proj": null},
+ {"id": 11, "label": "Store p.y", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 10, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 4, "role": "DATA", "label": null}], "proj": null},
+ {"id": 12, "label": "Load p.x", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 11, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 0, "role": "DATA", "label": null}], "proj": null},
+ {"id": 13, "label": "Return", "type": null, "kind": "CTRL", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 11, "role": "MEM", "label": null}, {"idx": 2, "def": 12, "role": "DATA", "label": null}], "proj": null}
+ ],
+ "groups": [
+ ]
+}
diff --git a/docs/chapter10/example1.svg b/docs/chapter10/example1.svg
new file mode 100644
index 00000000..d98e0ccd
--- /dev/null
+++ b/docs/chapter10/example1.svg
@@ -0,0 +1,118 @@
+<svg aria-label="Compiler graph" width="621" height="766" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 621 766" style="font-family: sans-serif;"><style>
+ html, body { height:100%; margin:0; font-family:sans-serif; }
+ .viewer { height:100%; display:grid; grid-template-rows:auto minmax(0,1fr) auto; }
+ .source { padding:8px; border-bottom:1px solid #ccc; }
+ #program { width:min(600px,80vw); vertical-align:middle; }
+ #status { margin-top:4px; }
+ #graph { min-height:0; overflow:hidden; position:relative; background:#fafbfc; }
+ #elk { width:100%; height:100%; }
+ #graph svg { display:block; }
+ .tools { display:flex; flex-wrap:wrap; align-items:center; gap:14px; margin-top:8px; font-size:12px; }
+ .hint { color:#616c78; }
+ .ctrl { color:#b63838; } .mem { color:#2867b2; } .data { color:#536477; }
+ .edge { fill:none; stroke-width:1.5; }
+ .edge.CTRL { stroke-width:2; }
+ .edge.ASSOC { stroke-dasharray:4 4; }
+ .edge.PARSER { stroke-dasharray:5 4; }
+ .parser rect { fill:#f6f0ff; stroke:#7956a5; stroke-width:1.5; stroke-dasharray:5 4; }
+ .edge.selected { stroke-width:3.5; }
+ .edge.bundle { stroke-width:4; }
+ .edge.bundle.selected { stroke-width:6; }
+ .edge-hit { fill:none; stroke:transparent; stroke-width:12; vector-effect:non-scaling-stroke; pointer-events:stroke; cursor:pointer; }
+ .edge-jump { fill:transparent; pointer-events:all; cursor:pointer; }
+ .node { cursor:pointer; }
+ .box { stroke:#758191; stroke-width:1; }
+ .node.held .box { stroke-dasharray:5 3; }
+ .node.near .box { stroke:#c18221; stroke-width:2; }
+ .node.focus .box { stroke:#9c4900; stroke-width:3; }
+ .node.selected .box { stroke:#1569b9; stroke-width:3; }
+ .node.folded .box { stroke-width:4; }
+ .node.folding .box { fill:#f4ccd7; }
+ .fold-tag { font-size:9px; font-weight:700; fill:#963751; }
+ .peep-area { fill:#fff3d9; fill-opacity:.8; stroke:#c18221; stroke-width:2; pointer-events:none; }
+ .node.peep-edit .box { stroke:#9c4900; stroke-width:3; }
+ .node.error .box { stroke:#b42318; stroke-width:4; }
+ #event.error { color:#b42318; font-weight:600; white-space:pre-wrap; overflow-wrap:anywhere; }
+ .peep-ghosts { pointer-events:none; }
+ .region-box { stroke:#9da9b8; stroke-width:1.5; }
+ .fold-btn { cursor:pointer; }
+ .fold-btn rect { fill:white; stroke:#596674; }
+ .fold-btn text { font-size:14px; fill:#152330; }
+ .fold-btn:focus rect { stroke:#1569b9; stroke-width:2; }
+ .shortcut { cursor:pointer; }
+ .shortcut path { fill:none; stroke-width:1.5; }
+ .shortcut rect { fill:#fff8ec; stroke:#b63838; stroke-dasharray:3 2; }
+ .shortcut text { font-size:11px; fill:#783030; }
+ .shortcut.selected rect, .shortcut:focus rect { stroke-width:2.5; }
+ .label { font-size:12px; fill:#152330; font-weight:600; }
+ .node-id { font-size:10px; fill:#596674; font-weight:400; }
+ .type { font-size:11px; fill:#455768; }
+ .port { stroke:#536477; stroke-width:1; }
+ .row { stroke:#b6afcf; stroke-width:1; }
+ .bind { font-size:12px; fill:#152330; }
+ .slot { font-size:10px; fill:#364352; paint-order:stroke; stroke:#fafbfc; stroke-width:3; }
+ #detail { position:absolute; top:8px; right:8px; margin:0; padding:12px; max-width:320px;
+ max-height:45%; overflow:auto; white-space:pre-wrap; overflow-wrap:anywhere;
+ background:#fffffff2; border:1px solid #bac5d0; border-radius:4px; font-size:12px; }
+ .controls { display:flex; flex-wrap:wrap; justify-content:center; align-items:center; gap:6px; padding:6px; }
+ .button { color:white; background:black; font-size:20px; min-width:30px; }
+ .button:disabled { background:grey; }
+ .count { font-size:20px; min-width:35px; text-align:center; }
+ #N { width:6ch; }
+ #scrub { width:clamp(120px,35vw,600px); }
+ </style><defs><marker id="arrow-CTRL" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#b63838"/></marker><marker id="arrow-DATA" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#536477"/></marker><marker id="arrow-MEM" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#2867b2"/></marker><marker id="arrow-ASSOC" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#9396a3"/></marker><marker id="arrow-PARSER" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#7956a5"/></marker></defs><rect width="100%" height="100%" fill="rgb(250, 251, 252)"/><g><g class="regions" style="opacity: 1;"/><rect class="peep-area" rx="36" style="opacity: 0;"/><g class="edges"><path class="edge ASSOC" id="e6i0" d="M419,46 C419,70 84,41 84,65" stroke="#9396a3" marker-start="url(#arrow-ASSOC)" style="opacity: 1;"><title>#6[0] → #1 · ASSOC</title></path><path class="edge MEM" id="e7i1" d="M236,118 L236,166" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#7[1] → #3 · MEM</title></path><path class="edge DATA" id="e7i2" d="M514,118 L514,123 Q514,128 509,128 L268,128 Q260,128 260,136 L260,166" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[2] → #5 · DATA</title></path><path class="edge DATA" id="e7i3" d="M84,118 L84,130 Q84,138 92,138 L276,138 Q284,138 284,146 L284,166" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[3] → #6 · DATA</title></path><path class="edge MEM" id="e8i1" d="M248,222 L248,227 Q248,232 253,232 L273,232 Q281,232 281,240 L281,270" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#8[1] → #7 · MEM</title></path><path class="edge DATA" id="e8i2" d="M514,118 L514,123 Q514,128 509,128 L326,128 Q318,128 318,136 L318,225.5 Q318,232 311.5,232 L311.5,232 Q305,232 305,238.5 L305,270" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[2] → #5 · DATA</title></path><path class="edge DATA" id="e8i3" d="M84,118 L84,130 Q84,138 92,138 L321,138 Q329,138 329,146 L329,270" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[3] → #6 · DATA</title></path><path class="edge ASSOC" id="e9i0" d="M419,46 C419,70 434,249 434,273" stroke="#9396a3" marker-start="url(#arrow-ASSOC)" style="opacity: 1;"><title>#9[0] → #1 · ASSOC</title></path><path class="edge MEM" id="e10i1" d="M293,326 L293,331 Q293,336 298,336 L331,336 Q339,336 339,344 L339,374" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#10[1] → #8 · MEM</title></path><path class="edge DATA" id="e10i2" d="M514,118 L514,123 Q514,128 509,128 L509,128 Q504,128 504,133 L504,224 Q504,232 496,232 L371,232 Q363,232 363,240 L363,374" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#10[2] → #5 · DATA</title></path><path class="edge DATA" id="e10i3" d="M434,326 L434,331 Q434,336 429,336 L395,336 Q387,336 387,344 L387,374" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#10[3] → #9 · DATA</title></path><path class="edge MEM" id="e11i1" d="M351,430 L351,435 Q351,440 356,440 L459,440 Q467,440 467,448 L467,478" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#11[1] → #10 · MEM</title></path><path class="edge DATA" id="e11i2" d="M514,118 L514,123 Q514,128 509,128 L509,128 Q504,128 504,133 L504,433.5 Q504,440 497.5,440 L497.5,440 Q491,440 491,446.5 L491,478" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#11[2] → #5 · DATA</title></path><path class="edge DATA" id="e11i3" d="M356,118 L356,130 Q356,138 364,138 L507,138 Q515,138 515,146 L515,478" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#11[3] → #4 · DATA</title></path><path class="edge MEM" id="e12i1" d="M479,534 L479,539 Q479,544 484,544 L517,544 Q525,544 525,552 L525,582" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#12[1] → #11 · MEM</title></path><path class="edge DATA" id="e12i2" d="M514,118 L514,123 Q514,128 519,128 L541,128 Q549,128 549,136 L549,582" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#12[2] → #5 · DATA</title></path><path class="edge MEM" id="e13i1" d="M479,534 L479,539 Q479,544 474,544 L472.5,544 Q466,544 466,550.5 L466,686" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#13[1] → #11 · MEM</title></path><path class="edge DATA" id="e13i2" d="M537,638 L537,643 Q537,648 532,648 L504,648 Q496,648 496,656 L496,686" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#13[2] → #12 · DATA</title></path></g><g class="edge-hits"/><g class="parser" style="opacity: 1;"/><g class="nodes"><g class="node" id="n1" data-id="1" transform="translate(176,24)" style="opacity: 1;"><path class="box" d="M0,0H240V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="120" y="18"><tspan>Start</tspan><tspan class="node-id">  #1</tspan></text><text class="type" text-anchor="middle" y="35" x="120"/><title>#1 Start
+Type not computed
+
+</title></g><g class="node" id="n3" data-id="3" transform="translate(176,68)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>$mem</tspan><tspan class="node-id">  #3/1</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#3 $mem
+Projection 1 of #1
+Type not computed
+
+[0] → #1 MEM</title></g><g class="node" id="n4" data-id="4" transform="translate(296,68)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>arg</tspan><tspan class="node-id">  #4/2</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#4 arg
+Projection 2 of #1
+Type not computed
+
+[0] → #1 DATA</title></g><g class="node" id="n5" data-id="5" transform="translate(454,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>new Point</tspan><tspan class="node-id">  #5</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#5 new Point
+Type not computed
+
+[0] → — CTRL</title><circle class="port" cx="60" cy="-3" r="3" fill="white"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n6" data-id="6" transform="translate(24,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>#0</tspan><tspan class="node-id">  #6</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#6 #0
+Type not computed
+
+[0] → #1 ASSOC</title><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n7" data-id="7" transform="translate(188,172)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #7</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#7 Store p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #3 MEM
+[2] → #5 DATA
+[3] → #6 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n8" data-id="8" transform="translate(233,276)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.y</tspan><tspan class="node-id">  #8</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#8 Store p.y
+Type not computed
+
+[0] → — CTRL
+[1] → #7 MEM
+[2] → #5 DATA
+[3] → #6 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n9" data-id="9" transform="translate(374,276)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>#3</tspan><tspan class="node-id">  #9</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#9 #3
+Type not computed
+
+[0] → #1 ASSOC</title><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n10" data-id="10" transform="translate(291,380)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #10</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#10 Store p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #8 MEM
+[2] → #5 DATA
+[3] → #9 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n11" data-id="11" transform="translate(419,484)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.y</tspan><tspan class="node-id">  #11</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#11 Store p.y
+Type not computed
+
+[0] → — CTRL
+[1] → #10 MEM
+[2] → #5 DATA
+[3] → #4 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n12" data-id="12" transform="translate(477,588)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Load p.x</tspan><tspan class="node-id">  #12</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#12 Load p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #11 MEM
+[2] → #5 DATA
+[3] → — DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="white"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n13" data-id="13" transform="translate(406,692)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Return</tspan><tspan class="node-id">  #13</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#13 Return
+Type not computed
+
+[0] → — CTRL
+[1] → #11 MEM
+[2] → #12 DATA</title><circle class="port" cx="30" cy="-3" r="3" fill="white"/><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><circle class="port" cx="90" cy="-3" r="3" fill="#536477"/><text class="slot" x="30" y="-10" text-anchor="middle">0</text><text class="slot" x="60" y="-10" text-anchor="middle">1</text><text class="slot" x="90" y="-10" text-anchor="middle">2</text></g></g><g class="region-heads" style="opacity: 1;"/><g class="shortcuts" style="opacity: 1;"/><g class="peep-ghosts" pointer-events="none"/></g></svg>
diff --git a/docs/chapter10/example2a.gv b/docs/chapter10/example2a.gv
new file mode 100644
index 00000000..93a8a904
--- /dev/null
+++ b/docs/chapter10/example2a.gv
@@ -0,0 +1,17 @@
+digraph Memory {
+ // IR styles match graph/web/render.js; arrows are use -> definition.
+ graph [bgcolor="#fafbfc" fontname="Helvetica" nodesep=0.35 ranksep=0.55 splines=ortho];
+ node [fontname="Helvetica" fontsize=12 color="#758191" fontcolor="#152330" shape=box style="rounded,filled" fillcolor="#edf3f7"];
+ edge [fontname="Helvetica" fontsize=9 color="#536477" fontcolor="#364352" arrowsize=0.7 penwidth=1.5];
+
+ rankdir=RL;
+
+ M [label="Incoming memory" shape=octagon style="filled" fillcolor="#dcecff"];
+ A [label="True: Store x" shape=octagon style="filled" fillcolor="#dcecff"];
+ B [label="False: Store x" shape=octagon style="filled" fillcolor="#dcecff"];
+ P [label="Phi(memory)" shape=hexagon style="filled" fillcolor="#f5e4fa"];
+ P -> A -> M [color="#2867b2"]; P -> B -> M [color="#2867b2"];
+ P -> Region [style=dashed,color="#9396a3"]; Return -> P [color="#2867b2"];
+ Return [shape=box style="filled" fillcolor="#fff1c4"];
+ Region [shape=trapezium style="filled" fillcolor="#fff1c4"];
+}
diff --git a/docs/chapter10/example2a.json b/docs/chapter10/example2a.json
new file mode 100644
index 00000000..660c72e8
--- /dev/null
+++ b/docs/chapter10/example2a.json
@@ -0,0 +1,26 @@
+{
+ "ver": 1,
+ "comp": "chapter10/docs/example2a.svg",
+ "step": 1,
+ "roots": [19],
+ "scope": 0,
+ "nodes": [
+ {"id": 1, "label": "Start", "type": null, "kind": "CTRL", "edges": [], "proj": null},
+ {"id": 3, "label": "$mem", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 1, "role": "MEM", "label": null}], "proj": {"par": 1, "idx": 1}},
+ {"id": 5, "label": "new Point", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}], "proj": null},
+ {"id": 6, "label": "#0", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "ASSOC", "label": null}], "proj": null},
+ {"id": 7, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 3, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 6, "role": "DATA", "label": null}], "proj": null},
+ {"id": 8, "label": "Store p.y", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 7, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 6, "role": "DATA", "label": null}], "proj": null},
+ {"id": 10, "label": "True", "type": null, "kind": "CTRL", "edges": [], "proj": {"par": 0, "idx": 0}},
+ {"id": 11, "label": "False", "type": null, "kind": "CTRL", "edges": [], "proj": {"par": 0, "idx": 1}},
+ {"id": 12, "label": "#3", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "ASSOC", "label": null}], "proj": null},
+ {"id": 13, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 10, "role": "CTRL", "label": null}, {"idx": 1, "def": 8, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 12, "role": "DATA", "label": null}], "proj": null},
+ {"id": 14, "label": "#4", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "ASSOC", "label": null}], "proj": null},
+ {"id": 15, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 11, "role": "CTRL", "label": null}, {"idx": 1, "def": 8, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 14, "role": "DATA", "label": null}], "proj": null},
+ {"id": 17, "label": "Phi $mem", "type": null, "kind": "PHI", "edges": [{"idx": 0, "def": 0, "role": "ASSOC", "label": null}, {"idx": 1, "def": 13, "role": "MEM", "label": null}, {"idx": 2, "def": 15, "role": "MEM", "label": null}], "proj": null},
+ {"id": 18, "label": "Load p.x", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 17, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 0, "role": "DATA", "label": null}], "proj": null},
+ {"id": 19, "label": "Return", "type": null, "kind": "CTRL", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 17, "role": "MEM", "label": null}, {"idx": 2, "def": 18, "role": "DATA", "label": null}], "proj": null}
+ ],
+ "groups": [
+ ]
+}
diff --git a/docs/chapter10/example2a.svg b/docs/chapter10/example2a.svg
new file mode 100644
index 00000000..b7664907
--- /dev/null
+++ b/docs/chapter10/example2a.svg
@@ -0,0 +1,130 @@
+<svg aria-label="Compiler graph" width="740" height="766" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 740 766" style="font-family: sans-serif;"><style>
+ html, body { height:100%; margin:0; font-family:sans-serif; }
+ .viewer { height:100%; display:grid; grid-template-rows:auto minmax(0,1fr) auto; }
+ .source { padding:8px; border-bottom:1px solid #ccc; }
+ #program { width:min(600px,80vw); vertical-align:middle; }
+ #status { margin-top:4px; }
+ #graph { min-height:0; overflow:hidden; position:relative; background:#fafbfc; }
+ #elk { width:100%; height:100%; }
+ #graph svg { display:block; }
+ .tools { display:flex; flex-wrap:wrap; align-items:center; gap:14px; margin-top:8px; font-size:12px; }
+ .hint { color:#616c78; }
+ .ctrl { color:#b63838; } .mem { color:#2867b2; } .data { color:#536477; }
+ .edge { fill:none; stroke-width:1.5; }
+ .edge.CTRL { stroke-width:2; }
+ .edge.ASSOC { stroke-dasharray:4 4; }
+ .edge.PARSER { stroke-dasharray:5 4; }
+ .parser rect { fill:#f6f0ff; stroke:#7956a5; stroke-width:1.5; stroke-dasharray:5 4; }
+ .edge.selected { stroke-width:3.5; }
+ .edge.bundle { stroke-width:4; }
+ .edge.bundle.selected { stroke-width:6; }
+ .edge-hit { fill:none; stroke:transparent; stroke-width:12; vector-effect:non-scaling-stroke; pointer-events:stroke; cursor:pointer; }
+ .edge-jump { fill:transparent; pointer-events:all; cursor:pointer; }
+ .node { cursor:pointer; }
+ .box { stroke:#758191; stroke-width:1; }
+ .node.held .box { stroke-dasharray:5 3; }
+ .node.near .box { stroke:#c18221; stroke-width:2; }
+ .node.focus .box { stroke:#9c4900; stroke-width:3; }
+ .node.selected .box { stroke:#1569b9; stroke-width:3; }
+ .node.folded .box { stroke-width:4; }
+ .node.folding .box { fill:#f4ccd7; }
+ .fold-tag { font-size:9px; font-weight:700; fill:#963751; }
+ .peep-area { fill:#fff3d9; fill-opacity:.8; stroke:#c18221; stroke-width:2; pointer-events:none; }
+ .node.peep-edit .box { stroke:#9c4900; stroke-width:3; }
+ .node.error .box { stroke:#b42318; stroke-width:4; }
+ #event.error { color:#b42318; font-weight:600; white-space:pre-wrap; overflow-wrap:anywhere; }
+ .peep-ghosts { pointer-events:none; }
+ .region-box { stroke:#9da9b8; stroke-width:1.5; }
+ .fold-btn { cursor:pointer; }
+ .fold-btn rect { fill:white; stroke:#596674; }
+ .fold-btn text { font-size:14px; fill:#152330; }
+ .fold-btn:focus rect { stroke:#1569b9; stroke-width:2; }
+ .shortcut { cursor:pointer; }
+ .shortcut path { fill:none; stroke-width:1.5; }
+ .shortcut rect { fill:#fff8ec; stroke:#b63838; stroke-dasharray:3 2; }
+ .shortcut text { font-size:11px; fill:#783030; }
+ .shortcut.selected rect, .shortcut:focus rect { stroke-width:2.5; }
+ .label { font-size:12px; fill:#152330; font-weight:600; }
+ .node-id { font-size:10px; fill:#596674; font-weight:400; }
+ .type { font-size:11px; fill:#455768; }
+ .port { stroke:#536477; stroke-width:1; }
+ .row { stroke:#b6afcf; stroke-width:1; }
+ .bind { font-size:12px; fill:#152330; }
+ .slot { font-size:10px; fill:#364352; paint-order:stroke; stroke:#fafbfc; stroke-width:3; }
+ #detail { position:absolute; top:8px; right:8px; margin:0; padding:12px; max-width:320px;
+ max-height:45%; overflow:auto; white-space:pre-wrap; overflow-wrap:anywhere;
+ background:#fffffff2; border:1px solid #bac5d0; border-radius:4px; font-size:12px; }
+ .controls { display:flex; flex-wrap:wrap; justify-content:center; align-items:center; gap:6px; padding:6px; }
+ .button { color:white; background:black; font-size:20px; min-width:30px; }
+ .button:disabled { background:grey; }
+ .count { font-size:20px; min-width:35px; text-align:center; }
+ #N { width:6ch; }
+ #scrub { width:clamp(120px,35vw,600px); }
+ </style><defs><marker id="arrow-CTRL" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#b63838"/></marker><marker id="arrow-DATA" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#536477"/></marker><marker id="arrow-MEM" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#2867b2"/></marker><marker id="arrow-ASSOC" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#9396a3"/></marker><marker id="arrow-PARSER" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#7956a5"/></marker></defs><rect width="100%" height="100%" fill="rgb(250, 251, 252)"/><g><g class="regions" style="opacity: 1;"/><rect class="peep-area" rx="36" style="opacity: 0;"/><g class="edges"><path class="edge ASSOC" id="e6i0" d="M162,46 C162,70 409,41 409,65" stroke="#9396a3" marker-start="url(#arrow-ASSOC)" style="opacity: 1;"><title>#6[0] → #1 · ASSOC</title></path><path class="edge MEM" id="e7i1" d="M99,118 L99,130 Q99,138 107,138 L167,138 Q175,138 175,146 L175,166" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#7[1] → #3 · MEM</title></path><path class="edge DATA" id="e7i2" d="M257,118 L257,123 Q257,128 252,128 L207,128 Q199,128 199,136 L199,166" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[2] → #5 · DATA</title></path><path class="edge DATA" id="e7i3" d="M409,118 L409,130 Q409,138 401,138 L231,138 Q223,138 223,146 L223,166" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[3] → #6 · DATA</title></path><path class="edge MEM" id="e8i1" d="M187,222 L187,227 Q187,232 182,232 L181,232 Q175,232 175,238 L175,270" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#8[1] → #7 · MEM</title></path><path class="edge DATA" id="e8i2" d="M257,118 L257,224 Q257,232 249,232 L207,232 Q199,232 199,240 L199,270" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[2] → #5 · DATA</title></path><path class="edge DATA" id="e8i3" d="M409,118 L409,234 Q409,242 401,242 L231,242 Q223,242 223,250 L223,270" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[3] → #6 · DATA</title></path><path class="edge ASSOC" id="e12i0" d="M162,46 C162,70 339,249 339,273" stroke="#9396a3" marker-start="url(#arrow-ASSOC)" style="opacity: 1;"><title>#12[0] → #1 · ASSOC</title></path><path class="edge CTRL" id="e13i0" d="M65,326 L65,374" stroke="#b63838" marker-start="url(#arrow-CTRL)" style="opacity: 1;"><title>#13[0] → #10 · CTRL</title></path><path class="edge MEM" id="e13i1" d="M187,326 L187,331 Q187,336 182,336 L97,336 Q89,336 89,344 L89,374" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#13[1] → #8 · MEM</title></path><path class="edge DATA" id="e13i2" d="M257,118 L257,123 Q257,128 252,128 L124,128 Q116,128 116,136 L116,344.5 Q116,346 114.5,346 L114.5,346 Q113,346 113,347.5 L113,374" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#13[2] → #5 · DATA</title></path><path class="edge DATA" id="e13i3" d="M339,326 L339,338 Q339,346 331,346 L145,346 Q137,346 137,354 L137,374" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#13[3] → #12 · DATA</title></path><path class="edge ASSOC" id="e14i0" d="M162,46 C162,70 598,249 598,273" stroke="#9396a3" marker-start="url(#arrow-ASSOC)" style="opacity: 1;"><title>#14[0] → #1 · ASSOC</title></path><path class="edge CTRL" id="e15i0" d="M474,326 L474,374" stroke="#b63838" marker-start="url(#arrow-CTRL)" style="opacity: 1;"><title>#15[0] → #11 · CTRL</title></path><path class="edge MEM" id="e15i1" d="M187,326 L187,331 Q187,336 192,336 L490,336 Q498,336 498,344 L498,374" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#15[1] → #8 · MEM</title></path><path class="edge DATA" id="e15i2" d="M257,118 L257,123 Q257,128 262,128 L519,128 Q527,128 527,136 L527,333.5 Q527,336 524.5,336 L524.5,336 Q522,336 522,338.5 L522,374" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#15[2] → #5 · DATA</title></path><path class="edge DATA" id="e15i3" d="M598,326 L598,331 Q598,336 593,336 L554,336 Q546,336 546,344 L546,374" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#15[3] → #14 · DATA</title></path><path class="edge MEM" id="e17i1" d="M101,430 L101,442 Q101,450 109,450 L557,450 Q565,450 565,458 L565,478" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#17[1] → #13 · MEM</title></path><path class="edge MEM" id="e17i2" d="M510,430 L510,435 Q510,440 515,440 L597,440 Q605,440 605,448 L605,478" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#17[2] → #15 · MEM</title></path><path class="edge MEM" id="e18i1" d="M585,534 L585,539 Q585,544 590,544 L636,544 Q644,544 644,552 L644,582" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#18[1] → #17 · MEM</title></path><path class="edge DATA" id="e18i2" d="M257,118 L257,123 Q257,128 262,128 L519,128 Q527,128 527,136 L527,224 Q527,232 535,232 L660,232 Q668,232 668,240 L668,582" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#18[2] → #5 · DATA</title></path><path class="edge MEM" id="e19i1" d="M585,534 L585,686" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#19[1] → #17 · MEM</title></path><path class="edge DATA" id="e19i2" d="M656,638 L656,643 Q656,648 651,648 L623,648 Q615,648 615,656 L615,686" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#19[2] → #18 · DATA</title></path></g><g class="edge-hits"/><g class="parser" style="opacity: 1;"/><g class="nodes"><g class="node" id="n1" data-id="1" transform="translate(39,24)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Start</tspan><tspan class="node-id">  #1</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#1 Start
+Type not computed
+
+</title></g><g class="node" id="n3" data-id="3" transform="translate(39,68)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>$mem</tspan><tspan class="node-id">  #3/1</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#3 $mem
+Projection 1 of #1
+Type not computed
+
+[0] → #1 MEM</title></g><g class="node" id="n5" data-id="5" transform="translate(197,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>new Point</tspan><tspan class="node-id">  #5</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#5 new Point
+Type not computed
+
+[0] → — CTRL</title><circle class="port" cx="60" cy="-3" r="3" fill="white"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n6" data-id="6" transform="translate(349,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>#0</tspan><tspan class="node-id">  #6</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#6 #0
+Type not computed
+
+[0] → #1 ASSOC</title><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n7" data-id="7" transform="translate(127,172)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #7</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#7 Store p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #3 MEM
+[2] → #5 DATA
+[3] → #6 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n8" data-id="8" transform="translate(127,276)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.y</tspan><tspan class="node-id">  #8</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#8 Store p.y
+Type not computed
+
+[0] → — CTRL
+[1] → #7 MEM
+[2] → #5 DATA
+[3] → #6 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n10" data-id="10" transform="translate(24,294)" style="opacity: 1;"><path class="box" d="M0,0H82V26H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="41" y="17"><tspan>True</tspan><tspan class="node-id">  #10/0</tspan></text><text class="type" text-anchor="middle" y="35" x="41"/><title>#10 True
+Projection 0 of #0
+Type not computed
+
+</title></g><g class="node" id="n11" data-id="11" transform="translate(431,294)" style="opacity: 1;"><path class="box" d="M0,0H86V26H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="43" y="17"><tspan>False</tspan><tspan class="node-id">  #11/1</tspan></text><text class="type" text-anchor="middle" y="35" x="43"/><title>#11 False
+Projection 1 of #0
+Type not computed
+
+</title></g><g class="node" id="n12" data-id="12" transform="translate(279,276)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>#3</tspan><tspan class="node-id">  #12</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#12 #3
+Type not computed
+
+[0] → #1 ASSOC</title><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n13" data-id="13" transform="translate(41,380)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #13</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#13 Store p.x
+Type not computed
+
+[0] → #10 CTRL
+[1] → #8 MEM
+[2] → #5 DATA
+[3] → #12 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="#536477"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n14" data-id="14" transform="translate(538,276)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>#4</tspan><tspan class="node-id">  #14</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#14 #4
+Type not computed
+
+[0] → #1 ASSOC</title><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n15" data-id="15" transform="translate(450,380)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #15</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#15 Store p.x
+Type not computed
+
+[0] → #11 CTRL
+[1] → #8 MEM
+[2] → #5 DATA
+[3] → #14 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="#536477"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n17" data-id="17" transform="translate(525,484)" style="opacity: 1;"><path class="box" d="M12,0H108L120,22L108,44H12L0,22Z" fill="#f5e4fa"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Phi $mem</tspan><tspan class="node-id">  #17</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#17 Phi $mem
+Type not computed
+
+[0] → — ASSOC
+[1] → #13 MEM
+[2] → #15 MEM</title><circle class="port" cx="0" cy="-3" r="3" fill="white"/><circle class="port" cx="40" cy="-3" r="3" fill="#536477"/><circle class="port" cx="80" cy="-3" r="3" fill="#536477"/><text class="slot" x="0" y="-10" text-anchor="middle">0</text><text class="slot" x="40" y="-10" text-anchor="middle">1</text><text class="slot" x="80" y="-10" text-anchor="middle">2</text></g><g class="node" id="n18" data-id="18" transform="translate(596,588)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Load p.x</tspan><tspan class="node-id">  #18</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#18 Load p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #17 MEM
+[2] → #5 DATA
+[3] → — DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="white"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n19" data-id="19" transform="translate(525,692)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Return</tspan><tspan class="node-id">  #19</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#19 Return
+Type not computed
+
+[0] → — CTRL
+[1] → #17 MEM
+[2] → #18 DATA</title><circle class="port" cx="30" cy="-3" r="3" fill="white"/><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><circle class="port" cx="90" cy="-3" r="3" fill="#536477"/><text class="slot" x="30" y="-10" text-anchor="middle">0</text><text class="slot" x="60" y="-10" text-anchor="middle">1</text><text class="slot" x="90" y="-10" text-anchor="middle">2</text></g></g><g class="region-heads" style="opacity: 1;"/><g class="shortcuts" style="opacity: 1;"/><g class="peep-ghosts" pointer-events="none"/></g></svg>
diff --git a/docs/chapter10/example2b.gv b/docs/chapter10/example2b.gv
new file mode 100644
index 00000000..c7d64509
--- /dev/null
+++ b/docs/chapter10/example2b.gv
@@ -0,0 +1,19 @@
+digraph Memory {
+ // IR styles match graph/web/render.js; arrows are use -> definition.
+ graph [bgcolor="#fafbfc" fontname="Helvetica" nodesep=0.35 ranksep=0.55 splines=ortho];
+ node [fontname="Helvetica" fontsize=12 color="#758191" fontcolor="#152330" shape=box style="rounded,filled" fillcolor="#edf3f7"];
+ edge [fontname="Helvetica" fontsize=9 color="#536477" fontcolor="#364352" arrowsize=0.7 penwidth=1.5];
+
+ rankdir=RL;
+
+ P [label="Phi(memory)" shape=hexagon style="filled" fillcolor="#f5e4fa"];
+ S [label="Loop-body Store" shape=octagon style="filled" fillcolor="#dcecff"];
+ P -> Entry [color="#2867b2"];
+ P -> S [color="#2867b2",constraint=false]; // Backedge must not place Store before Phi.
+ S -> P [color="#2867b2"];
+ P -> Loop [style=dashed,color="#9396a3"]; Return -> P [color="#2867b2"];
+ Return -> S [style=invis]; // Layout only: Phi, Store, Return from left to right.
+ Return [shape=box style="filled" fillcolor="#fff1c4"];
+ Entry [shape=octagon style="filled" fillcolor="#dcecff"];
+ Loop [shape=box style="rounded,filled" fillcolor="#ffe0ab"];
+}
diff --git a/docs/chapter10/example2b.json b/docs/chapter10/example2b.json
new file mode 100644
index 00000000..da2fc557
--- /dev/null
+++ b/docs/chapter10/example2b.json
@@ -0,0 +1,27 @@
+{
+ "ver": 1,
+ "comp": "chapter10/docs/example2b.svg",
+ "step": 1,
+ "roots": [19],
+ "scope": 0,
+ "nodes": [
+ {"id": 1, "label": "Start", "type": null, "kind": "CTRL", "edges": [], "proj": null},
+ {"id": 3, "label": "$mem", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 1, "role": "MEM", "label": null}], "proj": {"par": 1, "idx": 1}},
+ {"id": 4, "label": "arg", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "DATA", "label": null}], "proj": {"par": 1, "idx": 2}},
+ {"id": 5, "label": "new Point", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}], "proj": null},
+ {"id": 6, "label": "#0", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "ASSOC", "label": null}], "proj": null},
+ {"id": 7, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 3, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 6, "role": "DATA", "label": null}], "proj": null},
+ {"id": 8, "label": "Store p.y", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 7, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 6, "role": "DATA", "label": null}], "proj": null},
+ {"id": 10, "label": "Phi $mem", "type": null, "kind": "PHI", "edges": [{"idx": 0, "def": 0, "role": "ASSOC", "label": null}, {"idx": 1, "def": 8, "role": "MEM", "label": null}, {"idx": 2, "def": 15, "role": "MEM", "label": null}], "proj": null},
+ {"id": 11, "label": "Phi arg", "type": null, "kind": "PHI", "edges": [{"idx": 0, "def": 0, "role": "ASSOC", "label": null}, {"idx": 1, "def": 4, "role": "DATA", "label": null}, {"idx": 2, "def": 17, "role": "DATA", "label": null}], "proj": null},
+ {"id": 13, "label": "True", "type": null, "kind": "CTRL", "edges": [], "proj": {"par": 0, "idx": 0}},
+ {"id": 14, "label": "False", "type": null, "kind": "CTRL", "edges": [], "proj": {"par": 0, "idx": 1}},
+ {"id": 15, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 13, "role": "CTRL", "label": null}, {"idx": 1, "def": 10, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 11, "role": "DATA", "label": null}], "proj": null},
+ {"id": 16, "label": "#1", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "ASSOC", "label": null}], "proj": null},
+ {"id": 17, "label": "-", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 11, "role": "DATA", "label": null}, {"idx": 2, "def": 16, "role": "DATA", "label": null}], "proj": null},
+ {"id": 18, "label": "Load p.x", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 14, "role": "CTRL", "label": null}, {"idx": 1, "def": 10, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 0, "role": "DATA", "label": null}], "proj": null},
+ {"id": 19, "label": "Return", "type": null, "kind": "CTRL", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 10, "role": "MEM", "label": null}, {"idx": 2, "def": 18, "role": "DATA", "label": null}], "proj": null}
+ ],
+ "groups": [
+ ]
+}
diff --git a/docs/chapter10/example2b.svg b/docs/chapter10/example2b.svg
new file mode 100644
index 00000000..1feb91a3
--- /dev/null
+++ b/docs/chapter10/example2b.svg
@@ -0,0 +1,135 @@
+<svg aria-label="Compiler graph" width="647" height="664" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 647 664" style="font-family: sans-serif;"><style>
+ html, body { height:100%; margin:0; font-family:sans-serif; }
+ .viewer { height:100%; display:grid; grid-template-rows:auto minmax(0,1fr) auto; }
+ .source { padding:8px; border-bottom:1px solid #ccc; }
+ #program { width:min(600px,80vw); vertical-align:middle; }
+ #status { margin-top:4px; }
+ #graph { min-height:0; overflow:hidden; position:relative; background:#fafbfc; }
+ #elk { width:100%; height:100%; }
+ #graph svg { display:block; }
+ .tools { display:flex; flex-wrap:wrap; align-items:center; gap:14px; margin-top:8px; font-size:12px; }
+ .hint { color:#616c78; }
+ .ctrl { color:#b63838; } .mem { color:#2867b2; } .data { color:#536477; }
+ .edge { fill:none; stroke-width:1.5; }
+ .edge.CTRL { stroke-width:2; }
+ .edge.ASSOC { stroke-dasharray:4 4; }
+ .edge.PARSER { stroke-dasharray:5 4; }
+ .parser rect { fill:#f6f0ff; stroke:#7956a5; stroke-width:1.5; stroke-dasharray:5 4; }
+ .edge.selected { stroke-width:3.5; }
+ .edge.bundle { stroke-width:4; }
+ .edge.bundle.selected { stroke-width:6; }
+ .edge-hit { fill:none; stroke:transparent; stroke-width:12; vector-effect:non-scaling-stroke; pointer-events:stroke; cursor:pointer; }
+ .edge-jump { fill:transparent; pointer-events:all; cursor:pointer; }
+ .node { cursor:pointer; }
+ .box { stroke:#758191; stroke-width:1; }
+ .node.held .box { stroke-dasharray:5 3; }
+ .node.near .box { stroke:#c18221; stroke-width:2; }
+ .node.focus .box { stroke:#9c4900; stroke-width:3; }
+ .node.selected .box { stroke:#1569b9; stroke-width:3; }
+ .node.folded .box { stroke-width:4; }
+ .node.folding .box { fill:#f4ccd7; }
+ .fold-tag { font-size:9px; font-weight:700; fill:#963751; }
+ .peep-area { fill:#fff3d9; fill-opacity:.8; stroke:#c18221; stroke-width:2; pointer-events:none; }
+ .node.peep-edit .box { stroke:#9c4900; stroke-width:3; }
+ .node.error .box { stroke:#b42318; stroke-width:4; }
+ #event.error { color:#b42318; font-weight:600; white-space:pre-wrap; overflow-wrap:anywhere; }
+ .peep-ghosts { pointer-events:none; }
+ .region-box { stroke:#9da9b8; stroke-width:1.5; }
+ .fold-btn { cursor:pointer; }
+ .fold-btn rect { fill:white; stroke:#596674; }
+ .fold-btn text { font-size:14px; fill:#152330; }
+ .fold-btn:focus rect { stroke:#1569b9; stroke-width:2; }
+ .shortcut { cursor:pointer; }
+ .shortcut path { fill:none; stroke-width:1.5; }
+ .shortcut rect { fill:#fff8ec; stroke:#b63838; stroke-dasharray:3 2; }
+ .shortcut text { font-size:11px; fill:#783030; }
+ .shortcut.selected rect, .shortcut:focus rect { stroke-width:2.5; }
+ .label { font-size:12px; fill:#152330; font-weight:600; }
+ .node-id { font-size:10px; fill:#596674; font-weight:400; }
+ .type { font-size:11px; fill:#455768; }
+ .port { stroke:#536477; stroke-width:1; }
+ .row { stroke:#b6afcf; stroke-width:1; }
+ .bind { font-size:12px; fill:#152330; }
+ .slot { font-size:10px; fill:#364352; paint-order:stroke; stroke:#fafbfc; stroke-width:3; }
+ #detail { position:absolute; top:8px; right:8px; margin:0; padding:12px; max-width:320px;
+ max-height:45%; overflow:auto; white-space:pre-wrap; overflow-wrap:anywhere;
+ background:#fffffff2; border:1px solid #bac5d0; border-radius:4px; font-size:12px; }
+ .controls { display:flex; flex-wrap:wrap; justify-content:center; align-items:center; gap:6px; padding:6px; }
+ .button { color:white; background:black; font-size:20px; min-width:30px; }
+ .button:disabled { background:grey; }
+ .count { font-size:20px; min-width:35px; text-align:center; }
+ #N { width:6ch; }
+ #scrub { width:clamp(120px,35vw,600px); }
+ </style><defs><marker id="arrow-CTRL" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#b63838"/></marker><marker id="arrow-DATA" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#536477"/></marker><marker id="arrow-MEM" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#2867b2"/></marker><marker id="arrow-ASSOC" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#9396a3"/></marker><marker id="arrow-PARSER" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#7956a5"/></marker></defs><rect width="100%" height="100%" fill="rgb(250, 251, 252)"/><g><g class="regions" style="opacity: 1;"/><rect class="peep-area" rx="36" style="opacity: 0;"/><g class="edges"><path class="edge ASSOC" id="e6i0" d="M316,46 C316,70 563,41 563,65" stroke="#9396a3" marker-start="url(#arrow-ASSOC)" style="opacity: 1;"><title>#6[0] → #1 · ASSOC</title></path><path class="edge MEM" id="e7i1" d="M133,118 L133,140 Q133,148 141,148 L462,148 Q470,148 470,156 L470,168" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#7[1] → #3 · MEM</title></path><path class="edge DATA" id="e7i2" d="M411,118 L411,130 Q411,138 419,138 L486,138 Q494,138 494,146 L494,168" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[2] → #5 · DATA</title></path><path class="edge DATA" id="e7i3" d="M563,118 L563,140 Q563,148 555,148 L526,148 Q518,148 518,156 L518,168" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[3] → #6 · DATA</title></path><path class="edge MEM" id="e8i1" d="M482,224 L482,229 Q482,234 487,234 L487,234 Q492,234 492,239 L492,272" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#8[1] → #7 · MEM</title></path><path class="edge DATA" id="e8i2" d="M411,118 L411,130 Q411,138 419,138 L544,138 Q552,138 552,146 L552,226 Q552,234 544,234 L524,234 Q516,234 516,242 L516,272" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[2] → #5 · DATA</title></path><path class="edge DATA" id="e8i3" d="M563,118 L563,236 Q563,244 555,244 L548,244 Q540,244 540,252 L540,272" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[3] → #6 · DATA</title></path><path class="edge MEM" id="e10i1" d="M504,328 L504,340 Q504,348 496,348 L385,348 Q377,348 377,356 L377,376" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#10[1] → #8 · MEM</title></path><path class="edge MEM" id="e10i2" d="M101,536 L101,541 Q101,546 106,546 L459,546 Q467,546 467,538 L467,366 Q467,358 459,358 L425,358 Q417,358 417,366 L417,376" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#10[2] → #15 · MEM</title></path><path class="edge DATA" id="e11i1" d="M253,118 L253,123 Q253,128 248,128 L178,128 Q170,128 170,136 L170,168" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#11[1] → #4 · DATA</title></path><path class="edge DATA" id="e11i2" d="M312,328 L312,333 Q312,338 317,338 L404,338 Q412,338 412,330 L412,166 Q412,158 404,158 L215,158 Q210,158 210,163 L210,168" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#11[2] → #17 · DATA</title></path><path class="edge CTRL" id="e15i0" d="M65,432 L65,480" stroke="#b63838" marker-start="url(#arrow-CTRL)" style="opacity: 1;"><title>#15[0] → #13 · CTRL</title></path><path class="edge MEM" id="e15i1" d="M397,432 L397,437 Q397,442 392,442 L97,442 Q89,442 89,450 L89,480" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#15[1] → #10 · MEM</title></path><path class="edge DATA" id="e15i2" d="M411,118 L411,130 Q411,138 403,138 L124,138 Q116,138 116,146 L116,450.5 Q116,452 114.5,452 L114.5,452 Q113,452 113,453.5 L113,480" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#15[2] → #5 · DATA</title></path><path class="edge DATA" id="e15i3" d="M190,224 L190,229 Q190,234 185,234 L145,234 Q137,234 137,242 L137,480" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#15[3] → #11 · DATA</title></path><path class="edge ASSOC" id="e16i0" d="M316,46 C316,70 342,147 342,171" stroke="#9396a3" marker-start="url(#arrow-ASSOC)" style="opacity: 1;"><title>#16[0] → #1 · ASSOC</title></path><path class="edge DATA" id="e17i1" d="M190,224 L190,229 Q190,234 195,234 L304,234 Q312,234 312,242 L312,272" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#17[1] → #11 · DATA</title></path><path class="edge DATA" id="e17i2" d="M342,224 L342,272" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#17[2] → #16 · DATA</title></path><path class="edge CTRL" id="e18i0" d="M521,432 L521,480" stroke="#b63838" marker-start="url(#arrow-CTRL)" style="opacity: 1;"><title>#18[0] → #14 · CTRL</title></path><path class="edge MEM" id="e18i1" d="M397,432 L397,437 Q397,442 402,442 L537,442 Q545,442 545,450 L545,480" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#18[1] → #10 · MEM</title></path><path class="edge DATA" id="e18i2" d="M411,118 L411,130 Q411,138 419,138 L566,138 Q574,138 574,146 L574,439.5 Q574,442 571.5,442 L571.5,442 Q569,442 569,444.5 L569,480" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#18[2] → #5 · DATA</title></path><path class="edge MEM" id="e19i1" d="M397,432 L397,437 Q397,442 402,442 L469,442 Q477,442 477,450 L477,584" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#19[1] → #10 · MEM</title></path><path class="edge DATA" id="e19i2" d="M557,536 L557,541 Q557,546 552,546 L515,546 Q507,546 507,554 L507,584" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#19[2] → #18 · DATA</title></path></g><g class="edge-hits"/><g class="parser" style="opacity: 1;"/><g class="nodes"><g class="node" id="n1" data-id="1" transform="translate(73,24)" style="opacity: 1;"><path class="box" d="M0,0H240V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="120" y="18"><tspan>Start</tspan><tspan class="node-id">  #1</tspan></text><text class="type" text-anchor="middle" y="35" x="120"/><title>#1 Start
+Type not computed
+
+</title></g><g class="node" id="n3" data-id="3" transform="translate(73,68)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>$mem</tspan><tspan class="node-id">  #3/1</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#3 $mem
+Projection 1 of #1
+Type not computed
+
+[0] → #1 MEM</title></g><g class="node" id="n4" data-id="4" transform="translate(193,68)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>arg</tspan><tspan class="node-id">  #4/2</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#4 arg
+Projection 2 of #1
+Type not computed
+
+[0] → #1 DATA</title></g><g class="node" id="n5" data-id="5" transform="translate(351,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>new Point</tspan><tspan class="node-id">  #5</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#5 new Point
+Type not computed
+
+[0] → — CTRL</title><circle class="port" cx="60" cy="-3" r="3" fill="white"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n6" data-id="6" transform="translate(503,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>#0</tspan><tspan class="node-id">  #6</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#6 #0
+Type not computed
+
+[0] → #1 ASSOC</title><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n7" data-id="7" transform="translate(422,174)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #7</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#7 Store p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #3 MEM
+[2] → #5 DATA
+[3] → #6 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n8" data-id="8" transform="translate(444,278)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.y</tspan><tspan class="node-id">  #8</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#8 Store p.y
+Type not computed
+
+[0] → — CTRL
+[1] → #7 MEM
+[2] → #5 DATA
+[3] → #6 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n10" data-id="10" transform="translate(337,382)" style="opacity: 1;"><path class="box" d="M12,0H108L120,22L108,44H12L0,22Z" fill="#f5e4fa"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Phi $mem</tspan><tspan class="node-id">  #10</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#10 Phi $mem
+Type not computed
+
+[0] → — ASSOC
+[1] → #8 MEM
+[2] → #15 MEM</title><circle class="port" cx="0" cy="-3" r="3" fill="white"/><circle class="port" cx="40" cy="-3" r="3" fill="#536477"/><circle class="port" cx="80" cy="-3" r="3" fill="#536477"/><text class="slot" x="0" y="-10" text-anchor="middle">0</text><text class="slot" x="40" y="-10" text-anchor="middle">1</text><text class="slot" x="80" y="-10" text-anchor="middle">2</text></g><g class="node" id="n11" data-id="11" transform="translate(130,174)" style="opacity: 1;"><path class="box" d="M12,0H108L120,22L108,44H12L0,22Z" fill="#f5e4fa"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Phi arg</tspan><tspan class="node-id">  #11</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#11 Phi arg
+Type not computed
+
+[0] → — ASSOC
+[1] → #4 DATA
+[2] → #17 DATA</title><circle class="port" cx="0" cy="-3" r="3" fill="white"/><circle class="port" cx="40" cy="-3" r="3" fill="#536477"/><circle class="port" cx="80" cy="-3" r="3" fill="#536477"/><text class="slot" x="0" y="-10" text-anchor="middle">0</text><text class="slot" x="40" y="-10" text-anchor="middle">1</text><text class="slot" x="80" y="-10" text-anchor="middle">2</text></g><g class="node" id="n13" data-id="13" transform="translate(24,400)" style="opacity: 1;"><path class="box" d="M0,0H82V26H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="41" y="17"><tspan>True</tspan><tspan class="node-id">  #13/0</tspan></text><text class="type" text-anchor="middle" y="35" x="41"/><title>#13 True
+Projection 0 of #0
+Type not computed
+
+</title></g><g class="node" id="n14" data-id="14" transform="translate(477,400)" style="opacity: 1;"><path class="box" d="M0,0H87V26H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="43.5" y="17"><tspan>False</tspan><tspan class="node-id">  #14/1</tspan></text><text class="type" text-anchor="middle" y="35" x="43.5"/><title>#14 False
+Projection 1 of #0
+Type not computed
+
+</title></g><g class="node" id="n15" data-id="15" transform="translate(41,486)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #15</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#15 Store p.x
+Type not computed
+
+[0] → #13 CTRL
+[1] → #10 MEM
+[2] → #5 DATA
+[3] → #11 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="#536477"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n16" data-id="16" transform="translate(282,174)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>#1</tspan><tspan class="node-id">  #16</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#16 #1
+Type not computed
+
+[0] → #1 ASSOC</title><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n17" data-id="17" transform="translate(252,278)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>-</tspan><tspan class="node-id">  #17</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#17 -
+Type not computed
+
+[0] → — CTRL
+[1] → #11 DATA
+[2] → #16 DATA</title><circle class="port" cx="30" cy="-3" r="3" fill="white"/><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><circle class="port" cx="90" cy="-3" r="3" fill="#536477"/><text class="slot" x="30" y="-10" text-anchor="middle">0</text><text class="slot" x="60" y="-10" text-anchor="middle">1</text><text class="slot" x="90" y="-10" text-anchor="middle">2</text></g><g class="node" id="n18" data-id="18" transform="translate(497,486)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Load p.x</tspan><tspan class="node-id">  #18</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#18 Load p.x
+Type not computed
+
+[0] → #14 CTRL
+[1] → #10 MEM
+[2] → #5 DATA
+[3] → — DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="#536477"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="white"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n19" data-id="19" transform="translate(417,590)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Return</tspan><tspan class="node-id">  #19</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#19 Return
+Type not computed
+
+[0] → — CTRL
+[1] → #10 MEM
+[2] → #18 DATA</title><circle class="port" cx="30" cy="-3" r="3" fill="white"/><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><circle class="port" cx="90" cy="-3" r="3" fill="#536477"/><text class="slot" x="30" y="-10" text-anchor="middle">0</text><text class="slot" x="60" y="-10" text-anchor="middle">1</text><text class="slot" x="90" y="-10" text-anchor="middle">2</text></g></g><g class="region-heads" style="opacity: 1;"/><g class="shortcuts" style="opacity: 1;"/><g class="peep-ghosts" pointer-events="none"/></g></svg>
diff --git a/docs/chapter10/example2c.gv b/docs/chapter10/example2c.gv
new file mode 100644
index 00000000..f3a52b4d
--- /dev/null
+++ b/docs/chapter10/example2c.gv
@@ -0,0 +1,14 @@
+digraph Memory {
+ // IR styles match graph/web/render.js; arrows are use -> definition.
+ graph [bgcolor="#fafbfc" fontname="Helvetica" nodesep=0.35 ranksep=0.55 splines=ortho];
+ node [fontname="Helvetica" fontsize=12 color="#758191" fontcolor="#152330" shape=box style="rounded,filled" fillcolor="#edf3f7"];
+ edge [fontname="Helvetica" fontsize=9 color="#536477" fontcolor="#364352" arrowsize=0.7 penwidth=1.5];
+
+ rankdir=RL;
+
+ M [label="Prior memory" shape=octagon style="filled" fillcolor="#dcecff"];
+ L [label="Load p.x" shape=box style="rounded,filled" fillcolor="#edf3f7"];
+ S [label="Store p.x" shape=octagon style="filled" fillcolor="#dcecff"];
+ L -> M [color="#2867b2"]; S -> M [color="#2867b2"];
+ S -> L [style=dashed,xlabel="execute load first"];
+}
diff --git a/docs/chapter10/example2c.json b/docs/chapter10/example2c.json
new file mode 100644
index 00000000..8623ab8d
--- /dev/null
+++ b/docs/chapter10/example2c.json
@@ -0,0 +1,21 @@
+{
+ "ver": 1,
+ "comp": "chapter10/docs/example2c.svg",
+ "step": 1,
+ "roots": [11],
+ "scope": 0,
+ "nodes": [
+ {"id": 1, "label": "Start", "type": null, "kind": "CTRL", "edges": [], "proj": null},
+ {"id": 3, "label": "$mem", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 1, "role": "MEM", "label": null}], "proj": {"par": 1, "idx": 1}},
+ {"id": 4, "label": "arg", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "DATA", "label": null}], "proj": {"par": 1, "idx": 2}},
+ {"id": 5, "label": "new Point", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}], "proj": null},
+ {"id": 6, "label": "#0", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "ASSOC", "label": null}], "proj": null},
+ {"id": 7, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 3, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 6, "role": "DATA", "label": null}], "proj": null},
+ {"id": 8, "label": "Store p.y", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 7, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 6, "role": "DATA", "label": null}], "proj": null},
+ {"id": 9, "label": "Load p.x", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 8, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 0, "role": "DATA", "label": null}], "proj": null},
+ {"id": 10, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 8, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 4, "role": "DATA", "label": null}], "proj": null},
+ {"id": 11, "label": "Return", "type": null, "kind": "CTRL", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 10, "role": "MEM", "label": null}, {"idx": 2, "def": 9, "role": "DATA", "label": null}], "proj": null}
+ ],
+ "groups": [
+ ]
+}
diff --git a/docs/chapter10/example2c.svg b/docs/chapter10/example2c.svg
new file mode 100644
index 00000000..f7f7bce3
--- /dev/null
+++ b/docs/chapter10/example2c.svg
@@ -0,0 +1,109 @@
+<svg aria-label="Compiler graph" width="598" height="560" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 598 560" style="font-family: sans-serif;"><style>
+ html, body { height:100%; margin:0; font-family:sans-serif; }
+ .viewer { height:100%; display:grid; grid-template-rows:auto minmax(0,1fr) auto; }
+ .source { padding:8px; border-bottom:1px solid #ccc; }
+ #program { width:min(600px,80vw); vertical-align:middle; }
+ #status { margin-top:4px; }
+ #graph { min-height:0; overflow:hidden; position:relative; background:#fafbfc; }
+ #elk { width:100%; height:100%; }
+ #graph svg { display:block; }
+ .tools { display:flex; flex-wrap:wrap; align-items:center; gap:14px; margin-top:8px; font-size:12px; }
+ .hint { color:#616c78; }
+ .ctrl { color:#b63838; } .mem { color:#2867b2; } .data { color:#536477; }
+ .edge { fill:none; stroke-width:1.5; }
+ .edge.CTRL { stroke-width:2; }
+ .edge.ASSOC { stroke-dasharray:4 4; }
+ .edge.PARSER { stroke-dasharray:5 4; }
+ .parser rect { fill:#f6f0ff; stroke:#7956a5; stroke-width:1.5; stroke-dasharray:5 4; }
+ .edge.selected { stroke-width:3.5; }
+ .edge.bundle { stroke-width:4; }
+ .edge.bundle.selected { stroke-width:6; }
+ .edge-hit { fill:none; stroke:transparent; stroke-width:12; vector-effect:non-scaling-stroke; pointer-events:stroke; cursor:pointer; }
+ .edge-jump { fill:transparent; pointer-events:all; cursor:pointer; }
+ .node { cursor:pointer; }
+ .box { stroke:#758191; stroke-width:1; }
+ .node.held .box { stroke-dasharray:5 3; }
+ .node.near .box { stroke:#c18221; stroke-width:2; }
+ .node.focus .box { stroke:#9c4900; stroke-width:3; }
+ .node.selected .box { stroke:#1569b9; stroke-width:3; }
+ .node.folded .box { stroke-width:4; }
+ .node.folding .box { fill:#f4ccd7; }
+ .fold-tag { font-size:9px; font-weight:700; fill:#963751; }
+ .peep-area { fill:#fff3d9; fill-opacity:.8; stroke:#c18221; stroke-width:2; pointer-events:none; }
+ .node.peep-edit .box { stroke:#9c4900; stroke-width:3; }
+ .node.error .box { stroke:#b42318; stroke-width:4; }
+ #event.error { color:#b42318; font-weight:600; white-space:pre-wrap; overflow-wrap:anywhere; }
+ .peep-ghosts { pointer-events:none; }
+ .region-box { stroke:#9da9b8; stroke-width:1.5; }
+ .fold-btn { cursor:pointer; }
+ .fold-btn rect { fill:white; stroke:#596674; }
+ .fold-btn text { font-size:14px; fill:#152330; }
+ .fold-btn:focus rect { stroke:#1569b9; stroke-width:2; }
+ .shortcut { cursor:pointer; }
+ .shortcut path { fill:none; stroke-width:1.5; }
+ .shortcut rect { fill:#fff8ec; stroke:#b63838; stroke-dasharray:3 2; }
+ .shortcut text { font-size:11px; fill:#783030; }
+ .shortcut.selected rect, .shortcut:focus rect { stroke-width:2.5; }
+ .label { font-size:12px; fill:#152330; font-weight:600; }
+ .node-id { font-size:10px; fill:#596674; font-weight:400; }
+ .type { font-size:11px; fill:#455768; }
+ .port { stroke:#536477; stroke-width:1; }
+ .row { stroke:#b6afcf; stroke-width:1; }
+ .bind { font-size:12px; fill:#152330; }
+ .slot { font-size:10px; fill:#364352; paint-order:stroke; stroke:#fafbfc; stroke-width:3; }
+ #detail { position:absolute; top:8px; right:8px; margin:0; padding:12px; max-width:320px;
+ max-height:45%; overflow:auto; white-space:pre-wrap; overflow-wrap:anywhere;
+ background:#fffffff2; border:1px solid #bac5d0; border-radius:4px; font-size:12px; }
+ .controls { display:flex; flex-wrap:wrap; justify-content:center; align-items:center; gap:6px; padding:6px; }
+ .button { color:white; background:black; font-size:20px; min-width:30px; }
+ .button:disabled { background:grey; }
+ .count { font-size:20px; min-width:35px; text-align:center; }
+ #N { width:6ch; }
+ #scrub { width:clamp(120px,35vw,600px); }
+ </style><defs><marker id="arrow-CTRL" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#b63838"/></marker><marker id="arrow-DATA" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#536477"/></marker><marker id="arrow-MEM" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#2867b2"/></marker><marker id="arrow-ASSOC" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#9396a3"/></marker><marker id="arrow-PARSER" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#7956a5"/></marker></defs><rect width="100%" height="100%" fill="rgb(250, 251, 252)"/><g><g class="regions" style="opacity: 1;"/><rect class="peep-area" rx="36" style="opacity: 0;"/><g class="edges"><path class="edge ASSOC" id="e6i0" d="M419,46 C419,70 514,41 514,65" stroke="#9396a3" marker-start="url(#arrow-ASSOC)" style="opacity: 1;"><title>#6[0] → #1 · ASSOC</title></path><path class="edge MEM" id="e7i1" d="M236,118 L236,123 Q236,128 231,128 L151,128 Q143,128 143,136 L143,168" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#7[1] → #3 · MEM</title></path><path class="edge DATA" id="e7i2" d="M84,118 L84,150 Q84,158 92,158 L162,158 Q167,158 167,163 L167,168" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[2] → #5 · DATA</title></path><path class="edge DATA" id="e7i3" d="M514,118 L514,130 Q514,138 506,138 L199,138 Q191,138 191,146 L191,168" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[3] → #6 · DATA</title></path><path class="edge MEM" id="e8i1" d="M155,224 L155,229 Q155,234 160,234 L193,234 Q201,234 201,242 L201,272" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#8[1] → #7 · MEM</title></path><path class="edge DATA" id="e8i2" d="M84,118 L84,150 Q84,158 92,158 L217,158 Q225,158 225,166 L225,272" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[2] → #5 · DATA</title></path><path class="edge DATA" id="e8i3" d="M514,118 L514,130 Q514,138 506,138 L257,138 Q249,138 249,146 L249,272" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[3] → #6 · DATA</title></path><path class="edge MEM" id="e9i1" d="M213,328 L213,333 Q213,338 218,338 L262,338 Q270,338 270,346 L270,376" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#9[1] → #8 · MEM</title></path><path class="edge DATA" id="e9i2" d="M84,118 L84,150 Q84,158 92,158 L286,158 Q294,158 294,166 L294,376" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#9[2] → #5 · DATA</title></path><path class="edge MEM" id="e10i1" d="M213,328 L213,333 Q213,338 208,338 L126,338 Q118,338 118,346 L118,376" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#10[1] → #8 · MEM</title></path><path class="edge DATA" id="e10i2" d="M84,118 L84,340 Q84,348 92,348 L134,348 Q142,348 142,356 L142,376" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#10[2] → #5 · DATA</title></path><path class="edge DATA" id="e10i3" d="M356,118 L356,140 Q356,148 348,148 L291,148 Q283,148 283,156 L283,340 Q283,348 275,348 L174,348 Q166,348 166,356 L166,376" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#10[3] → #4 · DATA</title></path><path class="edge MEM" id="e11i1" d="M130,432 L130,480" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#11[1] → #10 · MEM</title></path><path class="edge DATA" id="e11i2" d="M282,432 L282,437 Q282,442 277,442 L168,442 Q160,442 160,450 L160,480" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#11[2] → #9 · DATA</title></path></g><g class="edge-hits"/><g class="parser" style="opacity: 1;"/><g class="nodes"><g class="node" id="n1" data-id="1" transform="translate(176,24)" style="opacity: 1;"><path class="box" d="M0,0H240V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="120" y="18"><tspan>Start</tspan><tspan class="node-id">  #1</tspan></text><text class="type" text-anchor="middle" y="35" x="120"/><title>#1 Start
+Type not computed
+
+</title></g><g class="node" id="n3" data-id="3" transform="translate(176,68)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>$mem</tspan><tspan class="node-id">  #3/1</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#3 $mem
+Projection 1 of #1
+Type not computed
+
+[0] → #1 MEM</title></g><g class="node" id="n4" data-id="4" transform="translate(296,68)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>arg</tspan><tspan class="node-id">  #4/2</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#4 arg
+Projection 2 of #1
+Type not computed
+
+[0] → #1 DATA</title></g><g class="node" id="n5" data-id="5" transform="translate(24,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>new Point</tspan><tspan class="node-id">  #5</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#5 new Point
+Type not computed
+
+[0] → — CTRL</title><circle class="port" cx="60" cy="-3" r="3" fill="white"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n6" data-id="6" transform="translate(454,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>#0</tspan><tspan class="node-id">  #6</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#6 #0
+Type not computed
+
+[0] → #1 ASSOC</title><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n7" data-id="7" transform="translate(95,174)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #7</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#7 Store p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #3 MEM
+[2] → #5 DATA
+[3] → #6 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n8" data-id="8" transform="translate(153,278)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.y</tspan><tspan class="node-id">  #8</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#8 Store p.y
+Type not computed
+
+[0] → — CTRL
+[1] → #7 MEM
+[2] → #5 DATA
+[3] → #6 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n9" data-id="9" transform="translate(222,382)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Load p.x</tspan><tspan class="node-id">  #9</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#9 Load p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #8 MEM
+[2] → #5 DATA
+[3] → — DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="white"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n10" data-id="10" transform="translate(70,382)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #10</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#10 Store p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #8 MEM
+[2] → #5 DATA
+[3] → #4 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n11" data-id="11" transform="translate(70,486)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Return</tspan><tspan class="node-id">  #11</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#11 Return
+Type not computed
+
+[0] → — CTRL
+[1] → #10 MEM
+[2] → #9 DATA</title><circle class="port" cx="30" cy="-3" r="3" fill="white"/><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><circle class="port" cx="90" cy="-3" r="3" fill="#536477"/><text class="slot" x="30" y="-10" text-anchor="middle">0</text><text class="slot" x="60" y="-10" text-anchor="middle">1</text><text class="slot" x="90" y="-10" text-anchor="middle">2</text></g></g><g class="region-heads" style="opacity: 1;"/><g class="shortcuts" style="opacity: 1;"/><g class="peep-ghosts" pointer-events="none"/></g></svg>
diff --git a/docs/chapter10/lattice.gv b/docs/chapter10/lattice.gv
new file mode 100644
index 00000000..b56a3073
--- /dev/null
+++ b/docs/chapter10/lattice.gv
@@ -0,0 +1,127 @@
+digraph Lattice {
+ rankdir=TB;
+ newrank=true;
+ // Preserve the same-rank ordering edges through cluster layout.
+ remincross=false;
+ nodesep=0.22;
+ ranksep=0.65;
+ node [shape=ellipse, style=filled, fontname="DejaVu Sans", fontsize=13];
+ edge [color="#555555", arrowsize=0.6];
+
+ // These arrows are lattice-order edges, not use/definition edges.
+ TOP [label="⊤", fillcolor=black, fontcolor=white];
+ BOT [label="⊥", fillcolor=black, fontcolor=white];
+
+ subgraph cluster_control {
+ label="Control"; fontname="Arial"; color="#cccccc";
+ node [fillcolor="#ffff00"];
+ XCTRL [label="⊤:ctrl"];
+ CTRL [label="⊥:ctrl"];
+ XCTRL -> CTRL;
+ }
+
+ subgraph cluster_integer {
+ label="Integer"; fontname="Arial"; color="#cccccc";
+ node [fillcolor="#add8e6"];
+ INT_TOP [label="⊤:int"];
+ INT_BOT [label="⊥:int"];
+ INT_NEG [label="… −2, −1"];
+ INT_ZERO [label="0"];
+ INT_POS [label="1, 2, …"];
+ {rank=same; INT_NEG; INT_ZERO; INT_POS;}
+ INT_NEG -> INT_ZERO -> INT_POS [style=invis];
+ INT_TOP -> {INT_NEG INT_ZERO INT_POS};
+ {INT_NEG INT_ZERO INT_POS} -> INT_BOT;
+ }
+
+ subgraph cluster_pointer {
+ label="Pointer = nullability × struct type";
+ fontname="Arial"; color="#cccccc";
+ node [fillcolor="#008000", fontcolor=white];
+ PTR_TOP [label="⊤:ptr\n[*⊤:struct]"];
+ PTR_BOT [label="⊥:ptr\n[*⊥:struct?]"];
+ PTR_NULL [label="null"];
+ PTR_ANY [label="*⊥:struct\n[ptr any struct]"];
+ PTR_PERSON [label="*Person"];
+ PTR_S1 [label="*s1"];
+ PTR_MORE [label="*s2, …"];
+ PTR_PERSON_NIL [label="*Person?"];
+ PTR_S1_NIL [label="*s1?"];
+ PTR_MORE_NIL [label="*s2?, …"];
+ {rank=same; PTR_PERSON; PTR_S1; PTR_MORE; PTR_NULL;}
+ {rank=same; PTR_ANY; PTR_PERSON_NIL; PTR_S1_NIL; PTR_MORE_NIL;}
+ PTR_PERSON -> PTR_S1 -> PTR_MORE -> PTR_NULL [style=invis];
+ PTR_ANY -> PTR_PERSON_NIL -> PTR_S1_NIL -> PTR_MORE_NIL [style=invis];
+ PTR_TOP -> {PTR_PERSON PTR_S1 PTR_MORE PTR_NULL};
+ {PTR_PERSON PTR_S1 PTR_MORE} -> PTR_ANY;
+ PTR_PERSON -> PTR_PERSON_NIL;
+ PTR_S1 -> PTR_S1_NIL;
+ PTR_MORE -> PTR_MORE_NIL;
+ PTR_NULL -> {PTR_PERSON_NIL PTR_S1_NIL PTR_MORE_NIL};
+ {PTR_ANY PTR_PERSON_NIL PTR_S1_NIL PTR_MORE_NIL} -> PTR_BOT;
+ }
+
+ subgraph cluster_struct {
+ label="Struct\nnamed collection of named scalar types";
+ fontname="Arial"; color="#cccccc";
+ node [fillcolor="#90ee90"];
+ STRUCT_TOP [label="⊤:struct\n[struct top]"];
+ STRUCT_BOT [label="⊥:struct\n[struct bottom]"];
+ STRUCT_PERSON [label="Person\nage: int", shape=box];
+ STRUCT_S1 [label="s1\nx: int", shape=box];
+ STRUCT_S2 [label="s2\nx: int, y: int", shape=box];
+ STRUCT_MORE [label="…", shape=box];
+ {rank=same; STRUCT_PERSON; STRUCT_S1; STRUCT_S2; STRUCT_MORE;}
+ STRUCT_PERSON -> STRUCT_S1 -> STRUCT_S2 -> STRUCT_MORE [style=invis];
+ STRUCT_TOP -> {STRUCT_PERSON STRUCT_S1 STRUCT_S2 STRUCT_MORE};
+ {STRUCT_PERSON STRUCT_S1 STRUCT_S2 STRUCT_MORE} -> STRUCT_BOT;
+ }
+
+ subgraph cluster_memory {
+ label="Memory"; fontname="Arial"; color="#cccccc";
+ node [fillcolor="#00008b", fontcolor=white];
+ MEM_TOP [label="⊤:mem"];
+ MEM_BOT [label="⊥:mem"];
+ MEM_TOP -> MEM_BOT;
+ }
+
+ subgraph cluster_tuple {
+ label="Tuple\ncollection of types";
+ fontname="Arial"; color="#cccccc";
+ node [fillcolor="#ffc0cb"];
+ TUPLE_TOP [label="⊤:tuple"];
+ TUPLE_BOT [label="⊥:tuple"];
+ // Each black element stands for a recursively nested type lattice.
+ TUPLE1 [shape=plain, label=<
+ <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4">
+ <TR><TD BGCOLOR="#ffc0cb">tuple</TD></TR>
+ <TR><TD BGCOLOR="black"><FONT COLOR="white">type</FONT></TD></TR>
+ </TABLE>
+ >];
+ TUPLE2 [shape=plain, label=<
+ <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4">
+ <TR><TD BGCOLOR="#ffc0cb">tuple</TD></TR>
+ <TR><TD BGCOLOR="black"><FONT COLOR="white">type</FONT></TD></TR>
+ <TR><TD BGCOLOR="black"><FONT COLOR="white">type</FONT></TD></TR>
+ </TABLE>
+ >];
+ TUPLEN [shape=plain, label=<
+ <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4">
+ <TR><TD BGCOLOR="#ffc0cb">tuple</TD></TR>
+ <TR><TD BGCOLOR="black"><FONT COLOR="white">type</FONT></TD></TR>
+ <TR><TD BGCOLOR="black"><FONT COLOR="white">…</FONT></TD></TR>
+ <TR><TD BGCOLOR="black"><FONT COLOR="white">type</FONT></TD></TR>
+ </TABLE>
+ >];
+ {rank=same; TUPLE1; TUPLE2; TUPLEN;}
+ TUPLE1 -> TUPLE2 -> TUPLEN [style=invis];
+ TUPLE_TOP -> {TUPLE1 TUPLE2 TUPLEN};
+ {TUPLE1 TUPLE2 TUPLEN} -> TUPLE_BOT;
+ }
+
+ TOP -> {XCTRL INT_TOP PTR_TOP STRUCT_TOP MEM_TOP TUPLE_TOP};
+ {CTRL INT_BOT PTR_BOT STRUCT_BOT MEM_BOT TUPLE_BOT} -> BOT;
+ {rank=same; XCTRL; INT_TOP; PTR_TOP; STRUCT_TOP; MEM_TOP; TUPLE_TOP;}
+ {rank=same; CTRL; INT_BOT; PTR_BOT; STRUCT_BOT; MEM_BOT; TUPLE_BOT;}
+ XCTRL -> INT_TOP -> PTR_TOP -> STRUCT_TOP -> MEM_TOP -> TUPLE_TOP [style=invis];
+}
diff --git a/docs/chapter10/lattice.svg b/docs/chapter10/lattice.svg
new file mode 100644
index 00000000..006ab762
--- /dev/null
+++ b/docs/chapter10/lattice.svg
@@ -0,0 +1,593 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
+ "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
+<!-- Generated by graphviz version 12.2.0 (20241103.1931)
+ -->
+<!-- Title: Lattice Pages: 1 -->
+<svg width="1551pt" height="603pt"
+ viewBox="0.00 0.00 1551.00 603.45" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 599.45)">
+<title>Lattice</title>
+<polygon fill="white" stroke="none" points="-4,4 -4,-599.45 1547,-599.45 1547,4 -4,4"/>
+<g id="clust1" class="cluster">
+<title>cluster_control</title>
+<polygon fill="none" stroke="#cccccc" points="8,-85.99 8,-524.71 98,-524.71 98,-85.99 8,-85.99"/>
+<text text-anchor="middle" x="53" y="-507.41" font-family="Arial" font-size="14.00">Control</text>
+</g>
+<g id="clust2" class="cluster">
+<title>cluster_integer</title>
+<polygon fill="none" stroke="#cccccc" points="106,-85.99 106,-524.71 404,-524.71 404,-85.99 106,-85.99"/>
+<text text-anchor="middle" x="255" y="-507.41" font-family="Arial" font-size="14.00">Integer</text>
+</g>
+<g id="clust6" class="cluster">
+<title>cluster_pointer</title>
+<polygon fill="none" stroke="#cccccc" points="412,-75 412,-535.7 893,-535.7 893,-75 412,-75"/>
+<text text-anchor="middle" x="652.5" y="-518.4" font-family="Arial" font-size="14.00">Pointer = nullability × struct type</text>
+</g>
+<g id="clust13" class="cluster">
+<title>cluster_struct</title>
+<polygon fill="none" stroke="#cccccc" points="901,-75 901,-551.45 1233,-551.45 1233,-75 901,-75"/>
+<text text-anchor="middle" x="1067" y="-534.15" font-family="Arial" font-size="14.00">Struct</text>
+<text text-anchor="middle" x="1067" y="-518.4" font-family="Arial" font-size="14.00">named collection of named scalar types</text>
+</g>
+<g id="clust17" class="cluster">
+<title>cluster_memory</title>
+<polygon fill="none" stroke="#cccccc" points="1241,-85.99 1241,-524.71 1347,-524.71 1347,-85.99 1241,-85.99"/>
+<text text-anchor="middle" x="1294" y="-507.41" font-family="Arial" font-size="14.00">Memory</text>
+</g>
+<g id="clust18" class="cluster">
+<title>cluster_tuple</title>
+<polygon fill="none" stroke="#cccccc" points="1355,-85.99 1355,-540.46 1535,-540.46 1535,-85.99 1355,-85.99"/>
+<text text-anchor="middle" x="1445" y="-523.16" font-family="Arial" font-size="14.00">Tuple</text>
+<text text-anchor="middle" x="1445" y="-507.41" font-family="Arial" font-size="14.00">collection of types</text>
+</g>
+<!-- TOP -->
+<g id="node1" class="node">
+<title>TOP</title>
+<ellipse fill="black" stroke="black" cx="875" cy="-577.45" rx="27" ry="18"/>
+<text text-anchor="middle" x="875" y="-573.35" font-family="DejaVu Sans" font-size="13.00" fill="white">⊤</text>
+</g>
+<!-- XCTRL -->
+<g id="node3" class="node">
+<title>XCTRL</title>
+<ellipse fill="#ffff00" stroke="black" cx="53" cy="-474.96" rx="36.51" ry="18"/>
+<text text-anchor="middle" x="53" y="-470.86" font-family="DejaVu Sans" font-size="13.00">⊤:ctrl</text>
+</g>
+<!-- TOP&#45;&gt;XCTRL -->
+<g id="edge53" class="edge">
+<title>TOP&#45;&gt;XCTRL</title>
+<path fill="none" stroke="#555555" d="M847.89,-576.27C714.74,-575.32 135.11,-570.13 102,-551.45 82.18,-540.26 69.05,-517.37 61.41,-499.71"/>
+<polygon fill="#555555" stroke="#555555" points="63.45,-499.15 59.24,-494.39 59.57,-500.74 63.45,-499.15"/>
+</g>
+<!-- INT_TOP -->
+<g id="node5" class="node">
+<title>INT_TOP</title>
+<ellipse fill="#add8e6" stroke="black" cx="353" cy="-474.96" rx="33.44" ry="18"/>
+<text text-anchor="middle" x="353" y="-470.86" font-family="DejaVu Sans" font-size="13.00">⊤:int</text>
+</g>
+<!-- TOP&#45;&gt;INT_TOP -->
+<g id="edge54" class="edge">
+<title>TOP&#45;&gt;INT_TOP</title>
+<path fill="none" stroke="#555555" d="M847.84,-576.34C753.92,-575.8 446.62,-572.41 408,-551.45 387.24,-540.18 372.3,-517.29 363.27,-499.66"/>
+<polygon fill="#555555" stroke="#555555" points="365.18,-498.78 360.66,-494.31 361.41,-500.63 365.18,-498.78"/>
+</g>
+<!-- PTR_TOP -->
+<g id="node10" class="node">
+<title>PTR_TOP</title>
+<ellipse fill="#008000" stroke="black" cx="715" cy="-474.96" rx="61.7" ry="28.99"/>
+<text text-anchor="middle" x="715" y="-479.11" font-family="DejaVu Sans" font-size="13.00" fill="white">⊤:ptr</text>
+<text text-anchor="middle" x="715" y="-462.61" font-family="DejaVu Sans" font-size="13.00" fill="white">[*⊤:struct]</text>
+</g>
+<!-- TOP&#45;&gt;PTR_TOP -->
+<g id="edge55" class="edge">
+<title>TOP&#45;&gt;PTR_TOP</title>
+<path fill="none" stroke="#555555" d="M855.7,-564.33C831.54,-549.16 789.48,-522.73 757.62,-502.72"/>
+<polygon fill="#555555" stroke="#555555" points="758.87,-501.03 752.67,-499.62 756.64,-504.59 758.87,-501.03"/>
+</g>
+<!-- STRUCT_TOP -->
+<g id="node20" class="node">
+<title>STRUCT_TOP</title>
+<ellipse fill="#90ee90" stroke="black" cx="996" cy="-474.96" rx="64.35" ry="28.99"/>
+<text text-anchor="middle" x="996" y="-479.11" font-family="DejaVu Sans" font-size="13.00">⊤:struct</text>
+<text text-anchor="middle" x="996" y="-462.61" font-family="DejaVu Sans" font-size="13.00">[struct top]</text>
+</g>
+<!-- TOP&#45;&gt;STRUCT_TOP -->
+<g id="edge56" class="edge">
+<title>TOP&#45;&gt;STRUCT_TOP</title>
+<path fill="none" stroke="#555555" d="M891.32,-562.9C908.92,-548.28 937.5,-524.55 960.35,-505.57"/>
+<polygon fill="#555555" stroke="#555555" points="961.58,-507.27 964.86,-501.82 958.9,-504.04 961.58,-507.27"/>
+</g>
+<!-- MEM_TOP -->
+<g id="node26" class="node">
+<title>MEM_TOP</title>
+<ellipse fill="#00008b" stroke="black" cx="1294" cy="-474.96" rx="44.7" ry="18"/>
+<text text-anchor="middle" x="1294" y="-470.86" font-family="DejaVu Sans" font-size="13.00" fill="white">⊤:mem</text>
+</g>
+<!-- TOP&#45;&gt;MEM_TOP -->
+<g id="edge57" class="edge">
+<title>TOP&#45;&gt;MEM_TOP</title>
+<path fill="none" stroke="#555555" d="M902.2,-575.86C981.35,-573.98 1207.82,-567.26 1237,-551.45 1258.22,-539.95 1273.86,-516.78 1283.33,-499.12"/>
+<polygon fill="#555555" stroke="#555555" points="1284.97,-500.54 1285.85,-494.24 1281.23,-498.61 1284.97,-500.54"/>
+</g>
+<!-- TUPLE_TOP -->
+<g id="node28" class="node">
+<title>TUPLE_TOP</title>
+<ellipse fill="#ffc0cb" stroke="black" cx="1408" cy="-474.96" rx="44.7" ry="18"/>
+<text text-anchor="middle" x="1408" y="-470.86" font-family="DejaVu Sans" font-size="13.00">⊤:tuple</text>
+</g>
+<!-- TOP&#45;&gt;TUPLE_TOP -->
+<g id="edge58" class="edge">
+<title>TOP&#45;&gt;TUPLE_TOP</title>
+<path fill="none" stroke="#555555" d="M902.34,-576.35C997.63,-575.82 1311.4,-572.48 1351,-551.45 1372.31,-540.13 1387.94,-516.93 1397.39,-499.22"/>
+<polygon fill="#555555" stroke="#555555" points="1399.03,-500.62 1399.89,-494.32 1395.29,-498.7 1399.03,-500.62"/>
+</g>
+<!-- BOT -->
+<g id="node2" class="node">
+<title>BOT</title>
+<ellipse fill="black" stroke="black" cx="884" cy="-18" rx="27" ry="18"/>
+<text text-anchor="middle" x="884" y="-13.9" font-family="DejaVu Sans" font-size="13.00" fill="white">⊥</text>
+</g>
+<!-- CTRL -->
+<g id="node4" class="node">
+<title>CTRL</title>
+<ellipse fill="#ffff00" stroke="black" cx="53" cy="-111.99" rx="36.51" ry="18"/>
+<text text-anchor="middle" x="53" y="-107.89" font-family="DejaVu Sans" font-size="13.00">⊥:ctrl</text>
+</g>
+<!-- XCTRL&#45;&gt;CTRL -->
+<g id="edge1" class="edge">
+<title>XCTRL&#45;&gt;CTRL</title>
+<path fill="none" stroke="#555555" d="M53,-456.55C53,-397.7 53,-206.04 53,-137.58"/>
+<polygon fill="#555555" stroke="#555555" points="55.1,-137.74 53,-131.74 50.9,-137.74 55.1,-137.74"/>
+</g>
+<!-- XCTRL&#45;&gt;INT_TOP -->
+<!-- CTRL&#45;&gt;BOT -->
+<g id="edge59" class="edge">
+<title>CTRL&#45;&gt;BOT</title>
+<path fill="none" stroke="#555555" d="M69.29,-95.39C78.22,-87.83 89.91,-79.45 102,-75 242.26,-23.4 717.31,-19.12 849.57,-18.95"/>
+<polygon fill="#555555" stroke="#555555" points="849.19,-21.05 855.19,-18.94 849.18,-16.85 849.19,-21.05"/>
+</g>
+<!-- INT_NEG -->
+<g id="node7" class="node">
+<title>INT_NEG</title>
+<ellipse fill="#add8e6" stroke="black" cx="169" cy="-216.97" rx="55.45" ry="18"/>
+<text text-anchor="middle" x="169" y="-212.87" font-family="DejaVu Sans" font-size="13.00">… −2, −1</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_NEG -->
+<g id="edge4" class="edge">
+<title>INT_TOP&#45;&gt;INT_NEG</title>
+<path fill="none" stroke="#555555" d="M338.42,-458.38C324.81,-443.56 304.22,-420.4 288,-398.97 246.77,-344.48 204.12,-276.17 182.84,-241.1"/>
+<polygon fill="#555555" stroke="#555555" points="184.8,-240.29 179.9,-236.24 181.21,-242.46 184.8,-240.29"/>
+</g>
+<!-- INT_ZERO -->
+<g id="node8" class="node">
+<title>INT_ZERO</title>
+<ellipse fill="#add8e6" stroke="black" cx="267" cy="-216.97" rx="27" ry="18"/>
+<text text-anchor="middle" x="267" y="-212.87" font-family="DejaVu Sans" font-size="13.00">0</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_ZERO -->
+<g id="edge5" class="edge">
+<title>INT_TOP&#45;&gt;INT_ZERO</title>
+<path fill="none" stroke="#555555" d="M347.22,-456.76C332.26,-412.21 292.18,-292.93 275,-241.79"/>
+<polygon fill="#555555" stroke="#555555" points="277.02,-241.21 273.12,-236.19 273.04,-242.55 277.02,-241.21"/>
+</g>
+<!-- INT_POS -->
+<g id="node9" class="node">
+<title>INT_POS</title>
+<ellipse fill="#add8e6" stroke="black" cx="353" cy="-216.97" rx="43.16" ry="18"/>
+<text text-anchor="middle" x="353" y="-212.87" font-family="DejaVu Sans" font-size="13.00">1, 2, …</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_POS -->
+<g id="edge6" class="edge">
+<title>INT_TOP&#45;&gt;INT_POS</title>
+<path fill="none" stroke="#555555" d="M353,-456.76C353,-412.51 353,-294.56 353,-242.85"/>
+<polygon fill="#555555" stroke="#555555" points="355.1,-242.94 353,-236.94 350.9,-242.94 355.1,-242.94"/>
+</g>
+<!-- INT_TOP&#45;&gt;PTR_TOP -->
+<!-- INT_BOT -->
+<g id="node6" class="node">
+<title>INT_BOT</title>
+<ellipse fill="#add8e6" stroke="black" cx="310" cy="-111.99" rx="33.44" ry="18"/>
+<text text-anchor="middle" x="310" y="-107.89" font-family="DejaVu Sans" font-size="13.00">⊥:int</text>
+</g>
+<!-- INT_BOT&#45;&gt;BOT -->
+<g id="edge60" class="edge">
+<title>INT_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="#555555" d="M335.28,-99.84C354.78,-91.7 382.61,-81.07 408,-75 570.29,-36.22 770.4,-23.83 849.5,-20.29"/>
+<polygon fill="#555555" stroke="#555555" points="849.36,-22.39 855.26,-20.04 849.17,-18.2 849.36,-22.39"/>
+</g>
+<!-- INT_NEG&#45;&gt;INT_BOT -->
+<g id="edge7" class="edge">
+<title>INT_NEG&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="#555555" d="M190.72,-200.11C216.15,-181.54 258.17,-150.85 284.95,-131.29"/>
+<polygon fill="#555555" stroke="#555555" points="285.92,-133.18 289.52,-127.95 283.44,-129.79 285.92,-133.18"/>
+</g>
+<!-- INT_NEG&#45;&gt;INT_ZERO -->
+<!-- INT_ZERO&#45;&gt;INT_BOT -->
+<g id="edge8" class="edge">
+<title>INT_ZERO&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="#555555" d="M273.91,-199.43C281.01,-182.41 292.14,-155.76 300.16,-136.55"/>
+<polygon fill="#555555" stroke="#555555" points="302.01,-137.58 302.38,-131.24 298.13,-135.96 302.01,-137.58"/>
+</g>
+<!-- INT_ZERO&#45;&gt;INT_POS -->
+<!-- INT_POS&#45;&gt;INT_BOT -->
+<g id="edge9" class="edge">
+<title>INT_POS&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="#555555" d="M345.9,-198.97C338.83,-182.05 327.93,-155.94 319.99,-136.93"/>
+<polygon fill="#555555" stroke="#555555" points="321.94,-136.15 317.69,-131.42 318.07,-137.76 321.94,-136.15"/>
+</g>
+<!-- PTR_NULL -->
+<g id="node12" class="node">
+<title>PTR_NULL</title>
+<ellipse fill="#008000" stroke="black" cx="799" cy="-345.97" rx="27.3" ry="18"/>
+<text text-anchor="middle" x="799" y="-341.87" font-family="DejaVu Sans" font-size="13.00" fill="white">null</text>
+</g>
+<!-- PTR_TOP&#45;&gt;PTR_NULL -->
+<g id="edge16" class="edge">
+<title>PTR_TOP&#45;&gt;PTR_NULL</title>
+<path fill="none" stroke="#555555" d="M732.81,-447.03C748.16,-423.83 770.03,-390.77 784.37,-369.09"/>
+<polygon fill="#555555" stroke="#555555" points="785.98,-370.45 787.54,-364.29 782.48,-368.13 785.98,-370.45"/>
+</g>
+<!-- PTR_PERSON -->
+<g id="node14" class="node">
+<title>PTR_PERSON</title>
+<ellipse fill="#008000" stroke="black" cx="542" cy="-345.97" rx="45.72" ry="18"/>
+<text text-anchor="middle" x="542" y="-341.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*Person</text>
+</g>
+<!-- PTR_TOP&#45;&gt;PTR_PERSON -->
+<g id="edge17" class="edge">
+<title>PTR_TOP&#45;&gt;PTR_PERSON</title>
+<path fill="none" stroke="#555555" d="M675.88,-452.05C651.99,-438.01 621.28,-418.77 596,-398.97 584.24,-389.76 572.18,-378.36 562.44,-368.58"/>
+<polygon fill="#555555" stroke="#555555" points="564.05,-367.22 558.35,-364.42 561.06,-370.17 564.05,-367.22"/>
+</g>
+<!-- PTR_S1 -->
+<g id="node15" class="node">
+<title>PTR_S1</title>
+<ellipse fill="#008000" stroke="black" cx="631" cy="-345.97" rx="27" ry="18"/>
+<text text-anchor="middle" x="631" y="-341.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*s1</text>
+</g>
+<!-- PTR_TOP&#45;&gt;PTR_S1 -->
+<g id="edge18" class="edge">
+<title>PTR_TOP&#45;&gt;PTR_S1</title>
+<path fill="none" stroke="#555555" d="M697.19,-447.03C681.84,-423.83 659.97,-390.77 645.63,-369.09"/>
+<polygon fill="#555555" stroke="#555555" points="647.52,-368.13 642.46,-364.29 644.02,-370.45 647.52,-368.13"/>
+</g>
+<!-- PTR_MORE -->
+<g id="node16" class="node">
+<title>PTR_MORE</title>
+<ellipse fill="#008000" stroke="black" cx="715" cy="-345.97" rx="40.6" ry="18"/>
+<text text-anchor="middle" x="715" y="-341.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*s2, …</text>
+</g>
+<!-- PTR_TOP&#45;&gt;PTR_MORE -->
+<g id="edge19" class="edge">
+<title>PTR_TOP&#45;&gt;PTR_MORE</title>
+<path fill="none" stroke="#555555" d="M715,-445.77C715,-423.52 715,-392.77 715,-371.51"/>
+<polygon fill="#555555" stroke="#555555" points="717.1,-371.66 715,-365.66 712.9,-371.66 717.1,-371.66"/>
+</g>
+<!-- PTR_TOP&#45;&gt;STRUCT_TOP -->
+<!-- PTR_BOT -->
+<g id="node11" class="node">
+<title>PTR_BOT</title>
+<ellipse fill="#008000" stroke="black" cx="748" cy="-111.99" rx="66.47" ry="28.99"/>
+<text text-anchor="middle" x="748" y="-116.14" font-family="DejaVu Sans" font-size="13.00" fill="white">⊥:ptr</text>
+<text text-anchor="middle" x="748" y="-99.64" font-family="DejaVu Sans" font-size="13.00" fill="white">[*⊥:struct?]</text>
+</g>
+<!-- PTR_BOT&#45;&gt;BOT -->
+<g id="edge61" class="edge">
+<title>PTR_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="#555555" d="M783.38,-87.06C807.3,-70.88 838.29,-49.92 859.52,-35.56"/>
+<polygon fill="#555555" stroke="#555555" points="860.46,-37.46 864.25,-32.36 858.1,-33.98 860.46,-37.46"/>
+</g>
+<!-- PTR_PERSON_NIL -->
+<g id="node17" class="node">
+<title>PTR_PERSON_NIL</title>
+<ellipse fill="#008000" stroke="black" cx="651" cy="-216.97" rx="50.33" ry="18"/>
+<text text-anchor="middle" x="651" y="-212.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*Person?</text>
+</g>
+<!-- PTR_NULL&#45;&gt;PTR_PERSON_NIL -->
+<g id="edge26" class="edge">
+<title>PTR_NULL&#45;&gt;PTR_PERSON_NIL</title>
+<path fill="none" stroke="#555555" d="M790.34,-328.75C783.99,-317.83 774.65,-303.55 764,-292.97 740.64,-269.76 709.08,-249.53 685.25,-235.95"/>
+<polygon fill="#555555" stroke="#555555" points="686.33,-234.14 680.07,-233.04 684.27,-237.8 686.33,-234.14"/>
+</g>
+<!-- PTR_S1_NIL -->
+<g id="node18" class="node">
+<title>PTR_S1_NIL</title>
+<ellipse fill="#008000" stroke="black" cx="748" cy="-216.97" rx="30.37" ry="18"/>
+<text text-anchor="middle" x="748" y="-212.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*s1?</text>
+</g>
+<!-- PTR_NULL&#45;&gt;PTR_S1_NIL -->
+<g id="edge27" class="edge">
+<title>PTR_NULL&#45;&gt;PTR_S1_NIL</title>
+<path fill="none" stroke="#555555" d="M792.23,-328.1C783.31,-305.9 767.59,-266.75 757.49,-241.6"/>
+<polygon fill="#555555" stroke="#555555" points="759.55,-241.1 755.36,-236.31 755.65,-242.66 759.55,-241.1"/>
+</g>
+<!-- PTR_MORE_NIL -->
+<g id="node19" class="node">
+<title>PTR_MORE_NIL</title>
+<ellipse fill="#008000" stroke="black" cx="840" cy="-216.97" rx="45.21" ry="18"/>
+<text text-anchor="middle" x="840" y="-212.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*s2?, …</text>
+</g>
+<!-- PTR_NULL&#45;&gt;PTR_MORE_NIL -->
+<g id="edge28" class="edge">
+<title>PTR_NULL&#45;&gt;PTR_MORE_NIL</title>
+<path fill="none" stroke="#555555" d="M804.53,-327.84C811.65,-305.78 824.07,-267.3 832.17,-242.24"/>
+<polygon fill="#555555" stroke="#555555" points="834.12,-243.03 833.96,-236.68 830.12,-241.74 834.12,-243.03"/>
+</g>
+<!-- PTR_ANY -->
+<g id="node13" class="node">
+<title>PTR_ANY</title>
+<ellipse fill="#008000" stroke="black" cx="502" cy="-216.97" rx="82.38" ry="28.99"/>
+<text text-anchor="middle" x="502" y="-221.12" font-family="DejaVu Sans" font-size="13.00" fill="white">*⊥:struct</text>
+<text text-anchor="middle" x="502" y="-204.62" font-family="DejaVu Sans" font-size="13.00" fill="white">[ptr any struct]</text>
+</g>
+<!-- PTR_ANY&#45;&gt;PTR_BOT -->
+<g id="edge29" class="edge">
+<title>PTR_ANY&#45;&gt;PTR_BOT</title>
+<path fill="none" stroke="#555555" d="M554.17,-194.13C595.32,-176.91 652.51,-152.97 694.1,-135.56"/>
+<polygon fill="#555555" stroke="#555555" points="694.78,-137.55 699.5,-133.29 693.15,-133.67 694.78,-137.55"/>
+</g>
+<!-- PTR_ANY&#45;&gt;PTR_PERSON_NIL -->
+<!-- PTR_PERSON&#45;&gt;PTR_ANY -->
+<g id="edge20" class="edge">
+<title>PTR_PERSON&#45;&gt;PTR_ANY</title>
+<path fill="none" stroke="#555555" d="M536.61,-327.84C530.59,-308.74 520.69,-277.32 513.02,-252.97"/>
+<polygon fill="#555555" stroke="#555555" points="515.08,-252.52 511.28,-247.43 511.08,-253.78 515.08,-252.52"/>
+</g>
+<!-- PTR_PERSON&#45;&gt;PTR_S1 -->
+<!-- PTR_PERSON&#45;&gt;PTR_PERSON_NIL -->
+<g id="edge23" class="edge">
+<title>PTR_PERSON&#45;&gt;PTR_PERSON_NIL</title>
+<path fill="none" stroke="#555555" d="M556.03,-328.62C575.38,-306.08 610.32,-265.36 632,-240.11"/>
+<polygon fill="#555555" stroke="#555555" points="633.38,-241.73 635.7,-235.81 630.19,-238.99 633.38,-241.73"/>
+</g>
+<!-- PTR_S1&#45;&gt;PTR_ANY -->
+<g id="edge21" class="edge">
+<title>PTR_S1&#45;&gt;PTR_ANY</title>
+<path fill="none" stroke="#555555" d="M621.75,-328.57C615.28,-317.84 606.03,-303.85 596,-292.97 580.61,-276.28 561.35,-260.24 544.26,-247.31"/>
+<polygon fill="#555555" stroke="#555555" points="545.84,-245.87 539.78,-243.96 543.32,-249.23 545.84,-245.87"/>
+</g>
+<!-- PTR_S1&#45;&gt;PTR_MORE -->
+<!-- PTR_S1&#45;&gt;PTR_S1_NIL -->
+<g id="edge24" class="edge">
+<title>PTR_S1&#45;&gt;PTR_S1_NIL</title>
+<path fill="none" stroke="#555555" d="M640.49,-328.79C647.07,-318.15 656.34,-304.18 666,-292.97 684.1,-271.96 707.73,-250.9 724.97,-236.47"/>
+<polygon fill="#555555" stroke="#555555" points="726.11,-238.25 729.39,-232.8 723.43,-235.02 726.11,-238.25"/>
+</g>
+<!-- PTR_MORE&#45;&gt;PTR_NULL -->
+<!-- PTR_MORE&#45;&gt;PTR_ANY -->
+<g id="edge22" class="edge">
+<title>PTR_MORE&#45;&gt;PTR_ANY</title>
+<path fill="none" stroke="#555555" d="M702.63,-328.84C693.45,-317.69 680.11,-303.08 666,-292.97 635.59,-271.17 597.84,-253.38 566.22,-240.61"/>
+<polygon fill="#555555" stroke="#555555" points="567.33,-238.79 560.98,-238.52 565.78,-242.69 567.33,-238.79"/>
+</g>
+<!-- PTR_MORE&#45;&gt;PTR_MORE_NIL -->
+<g id="edge25" class="edge">
+<title>PTR_MORE&#45;&gt;PTR_MORE_NIL</title>
+<path fill="none" stroke="#555555" d="M729.86,-328.89C739.5,-318.54 752.38,-304.85 764,-292.97 782,-274.55 802.85,-254.03 818.15,-239.12"/>
+<polygon fill="#555555" stroke="#555555" points="819.6,-240.64 822.44,-234.95 816.67,-237.63 819.6,-240.64"/>
+</g>
+<!-- PTR_PERSON_NIL&#45;&gt;PTR_BOT -->
+<g id="edge30" class="edge">
+<title>PTR_PERSON_NIL&#45;&gt;PTR_BOT</title>
+<path fill="none" stroke="#555555" d="M666.58,-199.43C680.58,-184.56 701.51,-162.35 718.65,-144.16"/>
+<polygon fill="#555555" stroke="#555555" points="719.75,-146.05 722.33,-140.24 716.69,-143.17 719.75,-146.05"/>
+</g>
+<!-- PTR_PERSON_NIL&#45;&gt;PTR_S1_NIL -->
+<!-- PTR_S1_NIL&#45;&gt;PTR_BOT -->
+<g id="edge31" class="edge">
+<title>PTR_S1_NIL&#45;&gt;PTR_BOT</title>
+<path fill="none" stroke="#555555" d="M748,-198.5C748,-184.97 748,-165.76 748,-148.97"/>
+<polygon fill="#555555" stroke="#555555" points="750.1,-148.97 748,-142.97 745.9,-148.97 750.1,-148.97"/>
+</g>
+<!-- PTR_S1_NIL&#45;&gt;PTR_MORE_NIL -->
+<!-- PTR_MORE_NIL&#45;&gt;PTR_BOT -->
+<g id="edge32" class="edge">
+<title>PTR_MORE_NIL&#45;&gt;PTR_BOT</title>
+<path fill="none" stroke="#555555" d="M825.62,-199.88C812.53,-185.22 792.8,-163.14 776.51,-144.9"/>
+<polygon fill="#555555" stroke="#555555" points="778.14,-143.58 772.58,-140.51 775.01,-146.38 778.14,-143.58"/>
+</g>
+<!-- STRUCT_PERSON -->
+<g id="node22" class="node">
+<title>STRUCT_PERSON</title>
+<polygon fill="#90ee90" stroke="black" points="976.5,-237.47 909.5,-237.47 909.5,-196.47 976.5,-196.47 976.5,-237.47"/>
+<text text-anchor="middle" x="943" y="-221.12" font-family="DejaVu Sans" font-size="13.00">Person</text>
+<text text-anchor="middle" x="943" y="-204.62" font-family="DejaVu Sans" font-size="13.00">age: int</text>
+</g>
+<!-- STRUCT_TOP&#45;&gt;STRUCT_PERSON -->
+<g id="edge36" class="edge">
+<title>STRUCT_TOP&#45;&gt;STRUCT_PERSON</title>
+<path fill="none" stroke="#555555" d="M990.23,-446.07C979.97,-396.53 958.69,-293.77 948.58,-244.91"/>
+<polygon fill="#555555" stroke="#555555" points="950.69,-244.75 947.42,-239.3 946.58,-245.61 950.69,-244.75"/>
+</g>
+<!-- STRUCT_S1 -->
+<g id="node23" class="node">
+<title>STRUCT_S1</title>
+<polygon fill="#90ee90" stroke="black" points="1047,-237.47 993,-237.47 993,-196.47 1047,-196.47 1047,-237.47"/>
+<text text-anchor="middle" x="1020" y="-221.12" font-family="DejaVu Sans" font-size="13.00">s1</text>
+<text text-anchor="middle" x="1020" y="-204.62" font-family="DejaVu Sans" font-size="13.00">x: int</text>
+</g>
+<!-- STRUCT_TOP&#45;&gt;STRUCT_S1 -->
+<g id="edge37" class="edge">
+<title>STRUCT_TOP&#45;&gt;STRUCT_S1</title>
+<path fill="none" stroke="#555555" d="M998.66,-445.58C1003.32,-395.91 1012.89,-293.85 1017.46,-245.08"/>
+<polygon fill="#555555" stroke="#555555" points="1019.54,-245.41 1018.01,-239.24 1015.36,-245.02 1019.54,-245.41"/>
+</g>
+<!-- STRUCT_S2 -->
+<g id="node24" class="node">
+<title>STRUCT_S2</title>
+<polygon fill="#90ee90" stroke="black" points="1154.88,-237.47 1063.12,-237.47 1063.12,-196.47 1154.88,-196.47 1154.88,-237.47"/>
+<text text-anchor="middle" x="1109" y="-221.12" font-family="DejaVu Sans" font-size="13.00">s2</text>
+<text text-anchor="middle" x="1109" y="-204.62" font-family="DejaVu Sans" font-size="13.00">x: int, y: int</text>
+</g>
+<!-- STRUCT_TOP&#45;&gt;STRUCT_S2 -->
+<g id="edge38" class="edge">
+<title>STRUCT_TOP&#45;&gt;STRUCT_S2</title>
+<path fill="none" stroke="#555555" d="M1008.31,-446.07C1030.23,-396.43 1075.73,-293.34 1097.24,-244.61"/>
+<polygon fill="#555555" stroke="#555555" points="1099.12,-245.54 1099.63,-239.21 1095.28,-243.85 1099.12,-245.54"/>
+</g>
+<!-- STRUCT_MORE -->
+<g id="node25" class="node">
+<title>STRUCT_MORE</title>
+<polygon fill="#90ee90" stroke="black" points="1225,-234.97 1171,-234.97 1171,-198.97 1225,-198.97 1225,-234.97"/>
+<text text-anchor="middle" x="1198" y="-212.87" font-family="DejaVu Sans" font-size="13.00">…</text>
+</g>
+<!-- STRUCT_TOP&#45;&gt;STRUCT_MORE -->
+<g id="edge39" class="edge">
+<title>STRUCT_TOP&#45;&gt;STRUCT_MORE</title>
+<path fill="none" stroke="#555555" d="M1018.31,-447.4C1030.2,-433.14 1045.02,-415.19 1058,-398.97 1102.92,-342.8 1154.32,-275.57 1180.57,-241"/>
+<polygon fill="#555555" stroke="#555555" points="1182,-242.59 1183.95,-236.54 1178.65,-240.05 1182,-242.59"/>
+</g>
+<!-- STRUCT_TOP&#45;&gt;MEM_TOP -->
+<!-- STRUCT_BOT -->
+<g id="node21" class="node">
+<title>STRUCT_BOT</title>
+<ellipse fill="#90ee90" stroke="black" cx="1020" cy="-111.99" rx="82.91" ry="28.99"/>
+<text text-anchor="middle" x="1020" y="-116.14" font-family="DejaVu Sans" font-size="13.00">⊥:struct</text>
+<text text-anchor="middle" x="1020" y="-99.64" font-family="DejaVu Sans" font-size="13.00">[struct bottom]</text>
+</g>
+<!-- STRUCT_BOT&#45;&gt;BOT -->
+<g id="edge62" class="edge">
+<title>STRUCT_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="#555555" d="M982.84,-85.85C959.17,-69.85 929.19,-49.57 908.49,-35.56"/>
+<polygon fill="#555555" stroke="#555555" points="909.78,-33.9 903.63,-32.28 907.42,-37.38 909.78,-33.9"/>
+</g>
+<!-- STRUCT_PERSON&#45;&gt;STRUCT_BOT -->
+<g id="edge40" class="edge">
+<title>STRUCT_PERSON&#45;&gt;STRUCT_BOT</title>
+<path fill="none" stroke="#555555" d="M957.85,-196.12C968.43,-181.96 982.92,-162.59 995.24,-146.11"/>
+<polygon fill="#555555" stroke="#555555" points="996.85,-147.46 998.76,-141.4 993.49,-144.94 996.85,-147.46"/>
+</g>
+<!-- STRUCT_PERSON&#45;&gt;STRUCT_S1 -->
+<!-- STRUCT_S1&#45;&gt;STRUCT_BOT -->
+<g id="edge41" class="edge">
+<title>STRUCT_S1&#45;&gt;STRUCT_BOT</title>
+<path fill="none" stroke="#555555" d="M1020,-196.12C1020,-182.64 1020,-164.43 1020,-148.49"/>
+<polygon fill="#555555" stroke="#555555" points="1022.1,-148.87 1020,-142.87 1017.9,-148.87 1022.1,-148.87"/>
+</g>
+<!-- STRUCT_S1&#45;&gt;STRUCT_S2 -->
+<!-- STRUCT_S2&#45;&gt;STRUCT_BOT -->
+<g id="edge42" class="edge">
+<title>STRUCT_S2&#45;&gt;STRUCT_BOT</title>
+<path fill="none" stroke="#555555" d="M1091.84,-196.12C1079.5,-181.83 1062.57,-162.25 1048.25,-145.68"/>
+<polygon fill="#555555" stroke="#555555" points="1050,-144.5 1044.49,-141.33 1046.82,-147.24 1050,-144.5"/>
+</g>
+<!-- STRUCT_S2&#45;&gt;STRUCT_MORE -->
+<!-- STRUCT_MORE&#45;&gt;STRUCT_BOT -->
+<g id="edge43" class="edge">
+<title>STRUCT_MORE&#45;&gt;STRUCT_BOT</title>
+<path fill="none" stroke="#555555" d="M1177.76,-198.72C1173.05,-195 1167.95,-191.22 1163,-187.98 1135.19,-169.81 1102.49,-152.39 1075.38,-138.93"/>
+<polygon fill="#555555" stroke="#555555" points="1076.64,-137.21 1070.33,-136.44 1074.78,-140.97 1076.64,-137.21"/>
+</g>
+<!-- MEM_BOT -->
+<g id="node27" class="node">
+<title>MEM_BOT</title>
+<ellipse fill="#00008b" stroke="black" cx="1294" cy="-111.99" rx="44.7" ry="18"/>
+<text text-anchor="middle" x="1294" y="-107.89" font-family="DejaVu Sans" font-size="13.00" fill="white">⊥:mem</text>
+</g>
+<!-- MEM_TOP&#45;&gt;MEM_BOT -->
+<g id="edge44" class="edge">
+<title>MEM_TOP&#45;&gt;MEM_BOT</title>
+<path fill="none" stroke="#555555" d="M1294,-456.55C1294,-397.7 1294,-206.04 1294,-137.58"/>
+<polygon fill="#555555" stroke="#555555" points="1296.1,-137.74 1294,-131.74 1291.9,-137.74 1296.1,-137.74"/>
+</g>
+<!-- MEM_TOP&#45;&gt;TUPLE_TOP -->
+<!-- MEM_BOT&#45;&gt;BOT -->
+<g id="edge63" class="edge">
+<title>MEM_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="#555555" d="M1273.96,-95.5C1263.49,-88.17 1250.14,-79.95 1237,-75 1125.68,-33.06 983.13,-22.53 918.55,-19.89"/>
+<polygon fill="#555555" stroke="#555555" points="918.65,-17.79 912.58,-19.66 918.49,-21.99 918.65,-17.79"/>
+</g>
+<!-- TUPLE1 -->
+<g id="node30" class="node">
+<title>TUPLE1</title>
+<polygon fill="#ffc0cb" stroke="none" points="1406.88,-372.47 1363.12,-372.47 1363.12,-319.47 1406.88,-319.47 1406.88,-372.47"/>
+<polygon fill="#ffc0cb" stroke="none" points="1363.12,-345.97 1363.12,-372.47 1406.88,-372.47 1406.88,-345.97 1363.12,-345.97"/>
+<polygon fill="none" stroke="black" points="1363.12,-345.97 1363.12,-372.47 1406.88,-372.47 1406.88,-345.97 1363.12,-345.97"/>
+<text text-anchor="start" x="1368.12" y="-355.12" font-family="DejaVu Sans" font-size="13.00">tuple</text>
+<polygon fill="black" stroke="none" points="1363.12,-319.47 1363.12,-345.97 1406.88,-345.97 1406.88,-319.47 1363.12,-319.47"/>
+<polygon fill="none" stroke="black" points="1363.12,-319.47 1363.12,-345.97 1406.88,-345.97 1406.88,-319.47 1363.12,-319.47"/>
+<text text-anchor="start" x="1370.38" y="-328.62" font-family="DejaVu Sans" font-size="13.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLE1 -->
+<g id="edge47" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLE1</title>
+<path fill="none" stroke="#555555" d="M1404.85,-456.57C1401.26,-436.74 1395.31,-403.91 1390.86,-379.34"/>
+<polygon fill="#555555" stroke="#555555" points="1392.94,-379.03 1389.81,-373.5 1388.81,-379.77 1392.94,-379.03"/>
+</g>
+<!-- TUPLE2 -->
+<g id="node31" class="node">
+<title>TUPLE2</title>
+<polygon fill="#ffc0cb" stroke="none" points="1466.88,-385.72 1423.12,-385.72 1423.12,-306.22 1466.88,-306.22 1466.88,-385.72"/>
+<polygon fill="#ffc0cb" stroke="none" points="1423.12,-359.22 1423.12,-385.72 1466.88,-385.72 1466.88,-359.22 1423.12,-359.22"/>
+<polygon fill="none" stroke="black" points="1423.12,-359.22 1423.12,-385.72 1466.88,-385.72 1466.88,-359.22 1423.12,-359.22"/>
+<text text-anchor="start" x="1428.12" y="-368.37" font-family="DejaVu Sans" font-size="13.00">tuple</text>
+<polygon fill="black" stroke="none" points="1423.12,-332.72 1423.12,-359.22 1466.88,-359.22 1466.88,-332.72 1423.12,-332.72"/>
+<polygon fill="none" stroke="black" points="1423.12,-332.72 1423.12,-359.22 1466.88,-359.22 1466.88,-332.72 1423.12,-332.72"/>
+<text text-anchor="start" x="1430.38" y="-341.87" font-family="DejaVu Sans" font-size="13.00" fill="white">type</text>
+<polygon fill="black" stroke="none" points="1423.12,-306.22 1423.12,-332.72 1466.88,-332.72 1466.88,-306.22 1423.12,-306.22"/>
+<polygon fill="none" stroke="black" points="1423.12,-306.22 1423.12,-332.72 1466.88,-332.72 1466.88,-306.22 1423.12,-306.22"/>
+<text text-anchor="start" x="1430.38" y="-315.37" font-family="DejaVu Sans" font-size="13.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLE2 -->
+<g id="edge48" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLE2</title>
+<path fill="none" stroke="#555555" d="M1412.99,-456.83C1417.76,-440.46 1425.17,-415.04 1431.65,-392.78"/>
+<polygon fill="#555555" stroke="#555555" points="1433.64,-393.48 1433.3,-387.13 1429.6,-392.3 1433.64,-393.48"/>
+</g>
+<!-- TUPLEN -->
+<g id="node32" class="node">
+<title>TUPLEN</title>
+<polygon fill="#ffc0cb" stroke="none" points="1526.88,-398.97 1483.12,-398.97 1483.12,-292.97 1526.88,-292.97 1526.88,-398.97"/>
+<polygon fill="#ffc0cb" stroke="none" points="1483.12,-372.47 1483.12,-398.97 1526.88,-398.97 1526.88,-372.47 1483.12,-372.47"/>
+<polygon fill="none" stroke="black" points="1483.12,-372.47 1483.12,-398.97 1526.88,-398.97 1526.88,-372.47 1483.12,-372.47"/>
+<text text-anchor="start" x="1488.12" y="-381.62" font-family="DejaVu Sans" font-size="13.00">tuple</text>
+<polygon fill="black" stroke="none" points="1483.12,-345.97 1483.12,-372.47 1526.88,-372.47 1526.88,-345.97 1483.12,-345.97"/>
+<polygon fill="none" stroke="black" points="1483.12,-345.97 1483.12,-372.47 1526.88,-372.47 1526.88,-345.97 1483.12,-345.97"/>
+<text text-anchor="start" x="1490.38" y="-355.12" font-family="DejaVu Sans" font-size="13.00" fill="white">type</text>
+<polygon fill="black" stroke="none" points="1483.12,-319.47 1483.12,-345.97 1526.88,-345.97 1526.88,-319.47 1483.12,-319.47"/>
+<polygon fill="none" stroke="black" points="1483.12,-319.47 1483.12,-345.97 1526.88,-345.97 1526.88,-319.47 1483.12,-319.47"/>
+<text text-anchor="start" x="1498.62" y="-328.62" font-family="DejaVu Sans" font-size="13.00" fill="white">…</text>
+<polygon fill="black" stroke="none" points="1483.12,-292.97 1483.12,-319.47 1526.88,-319.47 1526.88,-292.97 1483.12,-292.97"/>
+<polygon fill="none" stroke="black" points="1483.12,-292.97 1483.12,-319.47 1526.88,-319.47 1526.88,-292.97 1483.12,-292.97"/>
+<text text-anchor="start" x="1490.38" y="-302.12" font-family="DejaVu Sans" font-size="13.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLEN -->
+<g id="edge49" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLEN</title>
+<path fill="none" stroke="#555555" d="M1424.21,-457.82C1438.47,-443.17 1459.34,-420.61 1475,-398.97 1476.4,-397.02 1477.8,-395.01 1479.17,-392.95"/>
+<polygon fill="#555555" stroke="#555555" points="1480.91,-394.14 1482.41,-387.96 1477.38,-391.86 1480.91,-394.14"/>
+</g>
+<!-- TUPLE_BOT -->
+<g id="node29" class="node">
+<title>TUPLE_BOT</title>
+<ellipse fill="#ffc0cb" stroke="black" cx="1426" cy="-111.99" rx="44.7" ry="18"/>
+<text text-anchor="middle" x="1426" y="-107.89" font-family="DejaVu Sans" font-size="13.00">⊥:tuple</text>
+</g>
+<!-- TUPLE_BOT&#45;&gt;BOT -->
+<g id="edge64" class="edge">
+<title>TUPLE_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="#555555" d="M1401.48,-96.69C1387.21,-89.03 1368.61,-80.13 1351,-75 1193.97,-29.27 996.8,-20.82 918.41,-19.3"/>
+<polygon fill="#555555" stroke="#555555" points="918.75,-17.21 912.72,-19.21 918.68,-21.41 918.75,-17.21"/>
+</g>
+<!-- TUPLE1&#45;&gt;TUPLE_BOT -->
+<g id="edge50" class="edge">
+<title>TUPLE1&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="#555555" d="M1389.47,-319.7C1397.39,-274.85 1413.82,-181.9 1421.66,-137.56"/>
+<polygon fill="#555555" stroke="#555555" points="1423.69,-138.14 1422.66,-131.86 1419.55,-137.4 1423.69,-138.14"/>
+</g>
+<!-- TUPLE1&#45;&gt;TUPLE2 -->
+<!-- TUPLE2&#45;&gt;TUPLE_BOT -->
+<g id="edge51" class="edge">
+<title>TUPLE2&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="#555555" d="M1441.84,-306.4C1437.91,-258.37 1431.3,-177.75 1428,-137.46"/>
+<polygon fill="#555555" stroke="#555555" points="1430.13,-137.74 1427.55,-131.93 1425.95,-138.08 1430.13,-137.74"/>
+</g>
+<!-- TUPLE2&#45;&gt;TUPLEN -->
+<!-- TUPLEN&#45;&gt;TUPLE_BOT -->
+<g id="edge52" class="edge">
+<title>TUPLEN&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="#555555" d="M1487.37,-293.19C1470.79,-244.5 1446.69,-173.75 1434.2,-137.07"/>
+<polygon fill="#555555" stroke="#555555" points="1436.27,-136.64 1432.35,-131.63 1432.3,-137.99 1436.27,-136.64"/>
+</g>
+</g>
+</svg>
diff --git a/docs/chapter10/load-after-store-after.json b/docs/chapter10/load-after-store-after.json
new file mode 100644
index 00000000..d27efe5b
--- /dev/null
+++ b/docs/chapter10/load-after-store-after.json
@@ -0,0 +1,19 @@
+{
+ "ver": 1,
+ "comp": "load-after-store-after",
+ "step": 1,
+ "roots": [10],
+ "scope": 0,
+ "nodes": [
+ {"id": 1, "label": "Start", "type": null, "kind": "CTRL", "edges": [], "proj": null},
+ {"id": 3, "label": "$mem", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 1, "role": "MEM", "label": null}], "proj": {"par": 1, "idx": 1}},
+ {"id": 4, "label": "arg", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "DATA", "label": null}], "proj": {"par": 1, "idx": 2}},
+ {"id": 5, "label": "new Box", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}], "proj": null},
+ {"id": 6, "label": "#0", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "ASSOC", "label": null}], "proj": null},
+ {"id": 7, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 3, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 6, "role": "DATA", "label": null}], "proj": null},
+ {"id": 8, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 7, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 4, "role": "DATA", "label": null}], "proj": null},
+ {"id": 10, "label": "Return", "type": null, "kind": "CTRL", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 8, "role": "MEM", "label": null}, {"idx": 2, "def": 4, "role": "DATA", "label": null}], "proj": null}
+ ],
+ "groups": [
+ ]
+}
diff --git a/docs/chapter10/load-after-store-after.svg b/docs/chapter10/load-after-store-after.svg
new file mode 100644
index 00000000..78867d38
--- /dev/null
+++ b/docs/chapter10/load-after-store-after.svg
@@ -0,0 +1,97 @@
+<svg aria-label="Compiler graph" width="598" height="454" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 598 454" style="font-family: sans-serif;"><style>
+ html, body { height:100%; margin:0; font-family:sans-serif; }
+ .viewer { height:100%; display:grid; grid-template-rows:auto minmax(0,1fr) auto; }
+ .source { padding:8px; border-bottom:1px solid #ccc; }
+ #program { width:min(600px,80vw); vertical-align:middle; }
+ #status { margin-top:4px; }
+ #graph { min-height:0; overflow:hidden; position:relative; background:#fafbfc; }
+ #elk { width:100%; height:100%; }
+ #graph svg { display:block; }
+ .tools { display:flex; flex-wrap:wrap; align-items:center; gap:14px; margin-top:8px; font-size:12px; }
+ .hint { color:#616c78; }
+ .ctrl { color:#b63838; } .mem { color:#2867b2; } .data { color:#536477; }
+ .edge { fill:none; stroke-width:1.5; }
+ .edge.CTRL { stroke-width:2; }
+ .edge.ASSOC { stroke-dasharray:4 4; }
+ .edge.PARSER { stroke-dasharray:5 4; }
+ .parser rect { fill:#f6f0ff; stroke:#7956a5; stroke-width:1.5; stroke-dasharray:5 4; }
+ .edge.selected { stroke-width:3.5; }
+ .edge.bundle { stroke-width:4; }
+ .edge.bundle.selected { stroke-width:6; }
+ .edge-hit { fill:none; stroke:transparent; stroke-width:12; vector-effect:non-scaling-stroke; pointer-events:stroke; cursor:pointer; }
+ .edge-jump { fill:transparent; pointer-events:all; cursor:pointer; }
+ .node { cursor:pointer; }
+ .box { stroke:#758191; stroke-width:1; }
+ .node.held .box { stroke-dasharray:5 3; }
+ .node.near .box { stroke:#c18221; stroke-width:2; }
+ .node.focus .box { stroke:#9c4900; stroke-width:3; }
+ .node.selected .box { stroke:#1569b9; stroke-width:3; }
+ .node.folded .box { stroke-width:4; }
+ .node.folding .box { fill:#f4ccd7; }
+ .fold-tag { font-size:9px; font-weight:700; fill:#963751; }
+ .peep-area { fill:#fff3d9; fill-opacity:.8; stroke:#c18221; stroke-width:2; pointer-events:none; }
+ .node.peep-edit .box { stroke:#9c4900; stroke-width:3; }
+ .node.error .box { stroke:#b42318; stroke-width:4; }
+ #event.error { color:#b42318; font-weight:600; white-space:pre-wrap; overflow-wrap:anywhere; }
+ .peep-ghosts { pointer-events:none; }
+ .region-box { stroke:#9da9b8; stroke-width:1.5; }
+ .fold-btn { cursor:pointer; }
+ .fold-btn rect { fill:white; stroke:#596674; }
+ .fold-btn text { font-size:14px; fill:#152330; }
+ .fold-btn:focus rect { stroke:#1569b9; stroke-width:2; }
+ .shortcut { cursor:pointer; }
+ .shortcut path { fill:none; stroke-width:1.5; }
+ .shortcut rect { fill:#fff8ec; stroke:#b63838; stroke-dasharray:3 2; }
+ .shortcut text { font-size:11px; fill:#783030; }
+ .shortcut.selected rect, .shortcut:focus rect { stroke-width:2.5; }
+ .label { font-size:12px; fill:#152330; font-weight:600; }
+ .node-id { font-size:10px; fill:#596674; font-weight:400; }
+ .type { font-size:11px; fill:#455768; }
+ .port { stroke:#536477; stroke-width:1; }
+ .row { stroke:#b6afcf; stroke-width:1; }
+ .bind { font-size:12px; fill:#152330; }
+ .slot { font-size:10px; fill:#364352; paint-order:stroke; stroke:#fafbfc; stroke-width:3; }
+ #detail { position:absolute; top:8px; right:8px; margin:0; padding:12px; max-width:320px;
+ max-height:45%; overflow:auto; white-space:pre-wrap; overflow-wrap:anywhere;
+ background:#fffffff2; border:1px solid #bac5d0; border-radius:4px; font-size:12px; }
+ .controls { display:flex; flex-wrap:wrap; justify-content:center; align-items:center; gap:6px; padding:6px; }
+ .button { color:white; background:black; font-size:20px; min-width:30px; }
+ .button:disabled { background:grey; }
+ .count { font-size:20px; min-width:35px; text-align:center; }
+ #N { width:6ch; }
+ #scrub { width:clamp(120px,35vw,600px); }
+ </style><defs><marker id="arrow-CTRL" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#b63838"/></marker><marker id="arrow-DATA" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#536477"/></marker><marker id="arrow-MEM" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#2867b2"/></marker><marker id="arrow-ASSOC" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#9396a3"/></marker><marker id="arrow-PARSER" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#7956a5"/></marker></defs><rect width="100%" height="100%" fill="rgb(250, 251, 252)"/><g><g class="regions" style="opacity: 1;"/><rect class="peep-area" rx="36" style="opacity: 0;"/><g class="edges"><path class="edge ASSOC" id="e6i0" d="M571,46 C571,70 236,41 236,65" stroke="#9396a3" marker-start="url(#arrow-ASSOC)" style="opacity: 1;"><title>#6[0] → #1 · ASSOC</title></path><path class="edge MEM" id="e7i1" d="M388,118 L388,130 Q388,138 380,138 L376,138 Q368,138 368,146 L368,166" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#7[1] → #3 · MEM</title></path><path class="edge DATA" id="e7i2" d="M84,118 L84,140 Q84,148 92,148 L384,148 Q392,148 392,156 L392,166" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[2] → #5 · DATA</title></path><path class="edge DATA" id="e7i3" d="M236,118 L236,123 Q236,128 241,128 L408,128 Q416,128 416,136 L416,166" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[3] → #6 · DATA</title></path><path class="edge MEM" id="e8i1" d="M380,222 L380,227 Q380,232 385,232 L418,232 Q426,232 426,240 L426,270" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#8[1] → #7 · MEM</title></path><path class="edge DATA" id="e8i2" d="M84,118 L84,140 Q84,148 92,148 L442,148 Q450,148 450,156 L450,270" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[2] → #5 · DATA</title></path><path class="edge DATA" id="e8i3" d="M508,118 L508,224 Q508,232 500,232 L482,232 Q474,232 474,240 L474,270" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[3] → #4 · DATA</title></path><path class="edge MEM" id="e10i1" d="M438,326 L438,331 Q438,336 443,336 L470,336 Q478,336 478,344 L478,374" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#10[1] → #8 · MEM</title></path><path class="edge DATA" id="e10i2" d="M508,118 L508,374" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#10[2] → #4 · DATA</title></path></g><g class="edge-hits"/><g class="parser" style="opacity: 1;"/><g class="nodes"><g class="node" id="n1" data-id="1" transform="translate(328,24)" style="opacity: 1;"><path class="box" d="M0,0H240V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="120" y="18"><tspan>Start</tspan><tspan class="node-id">  #1</tspan></text><text class="type" text-anchor="middle" y="35" x="120"/><title>#1 Start
+Type not computed
+
+</title></g><g class="node" id="n3" data-id="3" transform="translate(328,68)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>$mem</tspan><tspan class="node-id">  #3/1</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#3 $mem
+Projection 1 of #1
+Type not computed
+
+[0] → #1 MEM</title></g><g class="node" id="n4" data-id="4" transform="translate(448,68)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>arg</tspan><tspan class="node-id">  #4/2</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#4 arg
+Projection 2 of #1
+Type not computed
+
+[0] → #1 DATA</title></g><g class="node" id="n5" data-id="5" transform="translate(24,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>new Box</tspan><tspan class="node-id">  #5</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#5 new Box
+Type not computed
+
+[0] → — CTRL</title><circle class="port" cx="60" cy="-3" r="3" fill="white"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n6" data-id="6" transform="translate(176,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>#0</tspan><tspan class="node-id">  #6</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#6 #0
+Type not computed
+
+[0] → #1 ASSOC</title><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n7" data-id="7" transform="translate(320,172)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #7</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#7 Store p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #3 MEM
+[2] → #5 DATA
+[3] → #6 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n8" data-id="8" transform="translate(378,276)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #8</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#8 Store p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #7 MEM
+[2] → #5 DATA
+[3] → #4 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n10" data-id="10" transform="translate(418,380)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Return</tspan><tspan class="node-id">  #10</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#10 Return
+Type not computed
+
+[0] → — CTRL
+[1] → #8 MEM
+[2] → #4 DATA</title><circle class="port" cx="30" cy="-3" r="3" fill="white"/><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><circle class="port" cx="90" cy="-3" r="3" fill="#536477"/><text class="slot" x="30" y="-10" text-anchor="middle">0</text><text class="slot" x="60" y="-10" text-anchor="middle">1</text><text class="slot" x="90" y="-10" text-anchor="middle">2</text></g></g><g class="region-heads" style="opacity: 1;"/><g class="shortcuts" style="opacity: 1;"/><g class="peep-ghosts" pointer-events="none"/></g></svg>
diff --git a/docs/chapter10/load-after-store-before.json b/docs/chapter10/load-after-store-before.json
new file mode 100644
index 00000000..ba4e2e0b
--- /dev/null
+++ b/docs/chapter10/load-after-store-before.json
@@ -0,0 +1,20 @@
+{
+ "ver": 1,
+ "comp": "load-after-store-before",
+ "step": 1,
+ "roots": [10],
+ "scope": 0,
+ "nodes": [
+ {"id": 1, "label": "Start", "type": null, "kind": "CTRL", "edges": [], "proj": null},
+ {"id": 3, "label": "$mem", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 1, "role": "MEM", "label": null}], "proj": {"par": 1, "idx": 1}},
+ {"id": 4, "label": "arg", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "DATA", "label": null}], "proj": {"par": 1, "idx": 2}},
+ {"id": 5, "label": "new Box", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}], "proj": null},
+ {"id": 6, "label": "#0", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 1, "role": "ASSOC", "label": null}], "proj": null},
+ {"id": 7, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 3, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 6, "role": "DATA", "label": null}], "proj": null},
+ {"id": 8, "label": "Store p.x", "type": null, "kind": "MEM", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 7, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 4, "role": "DATA", "label": null}], "proj": null},
+ {"id": 9, "label": "Load p.x", "type": null, "kind": "DATA", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 8, "role": "MEM", "label": null}, {"idx": 2, "def": 5, "role": "DATA", "label": null}, {"idx": 3, "def": 0, "role": "DATA", "label": null}], "proj": null},
+ {"id": 10, "label": "Return", "type": null, "kind": "CTRL", "edges": [{"idx": 0, "def": 0, "role": "CTRL", "label": null}, {"idx": 1, "def": 8, "role": "MEM", "label": null}, {"idx": 2, "def": 9, "role": "DATA", "label": null}], "proj": null}
+ ],
+ "groups": [
+ ]
+}
diff --git a/docs/chapter10/load-after-store-before.svg b/docs/chapter10/load-after-store-before.svg
new file mode 100644
index 00000000..497c915d
--- /dev/null
+++ b/docs/chapter10/load-after-store-before.svg
@@ -0,0 +1,103 @@
+<svg aria-label="Compiler graph" width="598" height="558" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 598 558" style="font-family: sans-serif;"><style>
+ html, body { height:100%; margin:0; font-family:sans-serif; }
+ .viewer { height:100%; display:grid; grid-template-rows:auto minmax(0,1fr) auto; }
+ .source { padding:8px; border-bottom:1px solid #ccc; }
+ #program { width:min(600px,80vw); vertical-align:middle; }
+ #status { margin-top:4px; }
+ #graph { min-height:0; overflow:hidden; position:relative; background:#fafbfc; }
+ #elk { width:100%; height:100%; }
+ #graph svg { display:block; }
+ .tools { display:flex; flex-wrap:wrap; align-items:center; gap:14px; margin-top:8px; font-size:12px; }
+ .hint { color:#616c78; }
+ .ctrl { color:#b63838; } .mem { color:#2867b2; } .data { color:#536477; }
+ .edge { fill:none; stroke-width:1.5; }
+ .edge.CTRL { stroke-width:2; }
+ .edge.ASSOC { stroke-dasharray:4 4; }
+ .edge.PARSER { stroke-dasharray:5 4; }
+ .parser rect { fill:#f6f0ff; stroke:#7956a5; stroke-width:1.5; stroke-dasharray:5 4; }
+ .edge.selected { stroke-width:3.5; }
+ .edge.bundle { stroke-width:4; }
+ .edge.bundle.selected { stroke-width:6; }
+ .edge-hit { fill:none; stroke:transparent; stroke-width:12; vector-effect:non-scaling-stroke; pointer-events:stroke; cursor:pointer; }
+ .edge-jump { fill:transparent; pointer-events:all; cursor:pointer; }
+ .node { cursor:pointer; }
+ .box { stroke:#758191; stroke-width:1; }
+ .node.held .box { stroke-dasharray:5 3; }
+ .node.near .box { stroke:#c18221; stroke-width:2; }
+ .node.focus .box { stroke:#9c4900; stroke-width:3; }
+ .node.selected .box { stroke:#1569b9; stroke-width:3; }
+ .node.folded .box { stroke-width:4; }
+ .node.folding .box { fill:#f4ccd7; }
+ .fold-tag { font-size:9px; font-weight:700; fill:#963751; }
+ .peep-area { fill:#fff3d9; fill-opacity:.8; stroke:#c18221; stroke-width:2; pointer-events:none; }
+ .node.peep-edit .box { stroke:#9c4900; stroke-width:3; }
+ .node.error .box { stroke:#b42318; stroke-width:4; }
+ #event.error { color:#b42318; font-weight:600; white-space:pre-wrap; overflow-wrap:anywhere; }
+ .peep-ghosts { pointer-events:none; }
+ .region-box { stroke:#9da9b8; stroke-width:1.5; }
+ .fold-btn { cursor:pointer; }
+ .fold-btn rect { fill:white; stroke:#596674; }
+ .fold-btn text { font-size:14px; fill:#152330; }
+ .fold-btn:focus rect { stroke:#1569b9; stroke-width:2; }
+ .shortcut { cursor:pointer; }
+ .shortcut path { fill:none; stroke-width:1.5; }
+ .shortcut rect { fill:#fff8ec; stroke:#b63838; stroke-dasharray:3 2; }
+ .shortcut text { font-size:11px; fill:#783030; }
+ .shortcut.selected rect, .shortcut:focus rect { stroke-width:2.5; }
+ .label { font-size:12px; fill:#152330; font-weight:600; }
+ .node-id { font-size:10px; fill:#596674; font-weight:400; }
+ .type { font-size:11px; fill:#455768; }
+ .port { stroke:#536477; stroke-width:1; }
+ .row { stroke:#b6afcf; stroke-width:1; }
+ .bind { font-size:12px; fill:#152330; }
+ .slot { font-size:10px; fill:#364352; paint-order:stroke; stroke:#fafbfc; stroke-width:3; }
+ #detail { position:absolute; top:8px; right:8px; margin:0; padding:12px; max-width:320px;
+ max-height:45%; overflow:auto; white-space:pre-wrap; overflow-wrap:anywhere;
+ background:#fffffff2; border:1px solid #bac5d0; border-radius:4px; font-size:12px; }
+ .controls { display:flex; flex-wrap:wrap; justify-content:center; align-items:center; gap:6px; padding:6px; }
+ .button { color:white; background:black; font-size:20px; min-width:30px; }
+ .button:disabled { background:grey; }
+ .count { font-size:20px; min-width:35px; text-align:center; }
+ #N { width:6ch; }
+ #scrub { width:clamp(120px,35vw,600px); }
+ </style><defs><marker id="arrow-CTRL" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#b63838"/></marker><marker id="arrow-DATA" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#536477"/></marker><marker id="arrow-MEM" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#2867b2"/></marker><marker id="arrow-ASSOC" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#9396a3"/></marker><marker id="arrow-PARSER" viewBox="0 -4 8 8" refX="8" refY="0" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0,-4L8,0L0,4Z" fill="#7956a5"/></marker></defs><rect width="100%" height="100%" fill="rgb(250, 251, 252)"/><g><g class="regions" style="opacity: 1;"/><rect class="peep-area" rx="36" style="opacity: 0;"/><g class="edges"><path class="edge ASSOC" id="e6i0" d="M267,46 C267,70 514,41 514,65" stroke="#9396a3" marker-start="url(#arrow-ASSOC)" style="opacity: 1;"><title>#6[0] → #1 · ASSOC</title></path><path class="edge MEM" id="e7i1" d="M84,118 L84,130 Q84,138 92,138 L272,138 Q280,138 280,146 L280,166" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#7[1] → #3 · MEM</title></path><path class="edge DATA" id="e7i2" d="M362,118 L362,123 Q362,128 357,128 L312,128 Q304,128 304,136 L304,166" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[2] → #5 · DATA</title></path><path class="edge DATA" id="e7i3" d="M514,118 L514,130 Q514,138 506,138 L336,138 Q328,138 328,146 L328,166" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#7[3] → #6 · DATA</title></path><path class="edge MEM" id="e8i1" d="M292,222 L292,227 Q292,232 287,232 L275,232 Q267,232 267,240 L267,270" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#8[1] → #7 · MEM</title></path><path class="edge DATA" id="e8i2" d="M362,118 L362,234 Q362,242 354,242 L299,242 Q291,242 291,250 L291,270" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[2] → #5 · DATA</title></path><path class="edge DATA" id="e8i3" d="M204,118 L204,123 Q204,128 209,128 L213,128 Q221,128 221,136 L221,244 Q221,252 229,252 L307,252 Q315,252 315,260 L315,270" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#8[3] → #4 · DATA</title></path><path class="edge MEM" id="e9i1" d="M279,326 L279,331 Q279,336 284,336 L330,336 Q338,336 338,344 L338,374" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#9[1] → #8 · MEM</title></path><path class="edge DATA" id="e9i2" d="M362,118 L362,374" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#9[2] → #5 · DATA</title></path><path class="edge MEM" id="e10i1" d="M279,326 L279,478" stroke="#2867b2" marker-start="url(#arrow-MEM)" style="opacity: 1;"><title>#10[1] → #8 · MEM</title></path><path class="edge DATA" id="e10i2" d="M350,430 L350,435 Q350,440 345,440 L317,440 Q309,440 309,448 L309,478" stroke="#536477" marker-start="url(#arrow-DATA)" style="opacity: 1;"><title>#10[2] → #9 · DATA</title></path></g><g class="edge-hits"/><g class="parser" style="opacity: 1;"/><g class="nodes"><g class="node" id="n1" data-id="1" transform="translate(24,24)" style="opacity: 1;"><path class="box" d="M0,0H240V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="120" y="18"><tspan>Start</tspan><tspan class="node-id">  #1</tspan></text><text class="type" text-anchor="middle" y="35" x="120"/><title>#1 Start
+Type not computed
+
+</title></g><g class="node" id="n3" data-id="3" transform="translate(24,68)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>$mem</tspan><tspan class="node-id">  #3/1</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#3 $mem
+Projection 1 of #1
+Type not computed
+
+[0] → #1 MEM</title></g><g class="node" id="n4" data-id="4" transform="translate(144,68)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>arg</tspan><tspan class="node-id">  #4/2</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#4 arg
+Projection 2 of #1
+Type not computed
+
+[0] → #1 DATA</title></g><g class="node" id="n5" data-id="5" transform="translate(302,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>new Box</tspan><tspan class="node-id">  #5</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#5 new Box
+Type not computed
+
+[0] → — CTRL</title><circle class="port" cx="60" cy="-3" r="3" fill="white"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n6" data-id="6" transform="translate(454,68)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>#0</tspan><tspan class="node-id">  #6</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#6 #0
+Type not computed
+
+[0] → #1 ASSOC</title><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><text class="slot" x="60" y="-10" text-anchor="middle">0</text></g><g class="node" id="n7" data-id="7" transform="translate(232,172)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #7</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#7 Store p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #3 MEM
+[2] → #5 DATA
+[3] → #6 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n8" data-id="8" transform="translate(219,276)" style="opacity: 1;"><path class="box" d="M10,0H110L120,10V34L110,44H10L0,34V10Z" fill="#dcecff"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Store p.x</tspan><tspan class="node-id">  #8</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#8 Store p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #7 MEM
+[2] → #5 DATA
+[3] → #4 DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="#536477"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n9" data-id="9" transform="translate(290,380)" style="opacity: 1;"><path class="box" d="M14,0H106Q120,0 120,14V30Q120,44 106,44H14Q0,44 0,30V14Q0,0 14,0Z" fill="#edf3f7"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Load p.x</tspan><tspan class="node-id">  #9</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#9 Load p.x
+Type not computed
+
+[0] → — CTRL
+[1] → #8 MEM
+[2] → #5 DATA
+[3] → — DATA</title><circle class="port" cx="24" cy="-3" r="3" fill="white"/><circle class="port" cx="48" cy="-3" r="3" fill="#536477"/><circle class="port" cx="72" cy="-3" r="3" fill="#536477"/><circle class="port" cx="96" cy="-3" r="3" fill="white"/><text class="slot" x="24" y="-10" text-anchor="middle">0</text><text class="slot" x="48" y="-10" text-anchor="middle">1</text><text class="slot" x="72" y="-10" text-anchor="middle">2</text><text class="slot" x="96" y="-10" text-anchor="middle">3</text></g><g class="node" id="n10" data-id="10" transform="translate(219,484)" style="opacity: 1;"><path class="box" d="M0,0H120V44H0Z" fill="#fff1c4"/><text class="label" text-anchor="middle" x="60" y="18"><tspan>Return</tspan><tspan class="node-id">  #10</tspan></text><text class="type" text-anchor="middle" y="35" x="60"/><title>#10 Return
+Type not computed
+
+[0] → — CTRL
+[1] → #8 MEM
+[2] → #9 DATA</title><circle class="port" cx="30" cy="-3" r="3" fill="white"/><circle class="port" cx="60" cy="-3" r="3" fill="#536477"/><circle class="port" cx="90" cy="-3" r="3" fill="#536477"/><text class="slot" x="30" y="-10" text-anchor="middle">0</text><text class="slot" x="60" y="-10" text-anchor="middle">1</text><text class="slot" x="90" y="-10" text-anchor="middle">2</text></g></g><g class="region-heads" style="opacity: 1;"/><g class="shortcuts" style="opacity: 1;"/><g class="peep-ghosts" pointer-events="none"/></g></svg>
diff --git a/docs/chapter10/type-control.svg b/docs/chapter10/type-control.svg
new file mode 100644
index 00000000..d4b79c53
--- /dev/null
+++ b/docs/chapter10/type-control.svg
@@ -0,0 +1,5 @@
+<svg xmlns="http://www.w3.org/2000/svg" width="61" height="20" viewBox="0 0 61 20" role="img" aria-labelledby="title">
+ <title id="title">Control</title>
+ <rect width="61" height="20" rx="2" fill="#ffff00"/>
+ <text x="30.5" y="14" text-anchor="middle" font-family="Arial, sans-serif" font-size="13" fill="#000000">Control</text>
+</svg>
diff --git a/docs/chapter10/type-integer.svg b/docs/chapter10/type-integer.svg
new file mode 100644
index 00000000..97d03372
--- /dev/null
+++ b/docs/chapter10/type-integer.svg
@@ -0,0 +1,5 @@
+<svg xmlns="http://www.w3.org/2000/svg" width="60" height="20" viewBox="0 0 60 20" role="img" aria-labelledby="title">
+ <title id="title">Integer</title>
+ <rect width="60" height="20" rx="2" fill="#add8e6"/>
+ <text x="30.0" y="14" text-anchor="middle" font-family="Arial, sans-serif" font-size="13" fill="#000000">Integer</text>
+</svg>
diff --git a/docs/chapter10/type-memory.svg b/docs/chapter10/type-memory.svg
new file mode 100644
index 00000000..16b5121f
--- /dev/null
+++ b/docs/chapter10/type-memory.svg
@@ -0,0 +1,5 @@
+<svg xmlns="http://www.w3.org/2000/svg" width="67" height="20" viewBox="0 0 67 20" role="img" aria-labelledby="title">
+ <title id="title">Memory</title>
+ <rect width="67" height="20" rx="2" fill="#00008b"/>
+ <text x="33.5" y="14" text-anchor="middle" font-family="Arial, sans-serif" font-size="13" fill="#ffffff">Memory</text>
+</svg>
diff --git a/docs/chapter10/type-pointer.svg b/docs/chapter10/type-pointer.svg
new file mode 100644
index 00000000..7604492e
--- /dev/null
+++ b/docs/chapter10/type-pointer.svg
@@ -0,0 +1,5 @@
+<svg xmlns="http://www.w3.org/2000/svg" width="62" height="20" viewBox="0 0 62 20" role="img" aria-labelledby="title">
+ <title id="title">Pointer</title>
+ <rect width="62" height="20" rx="2" fill="#008000"/>
+ <text x="31.0" y="14" text-anchor="middle" font-family="Arial, sans-serif" font-size="13" fill="#ffffff">Pointer</text>
+</svg>
diff --git a/docs/chapter10/type-struct.svg b/docs/chapter10/type-struct.svg
new file mode 100644
index 00000000..97a16562
--- /dev/null
+++ b/docs/chapter10/type-struct.svg
@@ -0,0 +1,5 @@
+<svg xmlns="http://www.w3.org/2000/svg" width="52" height="20" viewBox="0 0 52 20" role="img" aria-labelledby="title">
+ <title id="title">Struct</title>
+ <rect width="52" height="20" rx="2" fill="#90ee90"/>
+ <text x="26.0" y="14" text-anchor="middle" font-family="Arial, sans-serif" font-size="13" fill="#000000">Struct</text>
+</svg>
diff --git a/docs/chapter10/type-tuple.svg b/docs/chapter10/type-tuple.svg
new file mode 100644
index 00000000..691478ac
--- /dev/null
+++ b/docs/chapter10/type-tuple.svg
@@ -0,0 +1,5 @@
+<svg xmlns="http://www.w3.org/2000/svg" width="47" height="20" viewBox="0 0 47 20" role="img" aria-labelledby="title">
+ <title id="title">Tuple</title>
+ <rect width="47" height="20" rx="2" fill="#ffc0cb"/>
+ <text x="23.5" y="14" text-anchor="middle" font-family="Arial, sans-serif" font-size="13" fill="#000000">Tuple</text>
+</svg>
diff --git a/src/main/java/com/seaofnodes/simple/GraphEvaluator.java b/src/main/java/com/seaofnodes/simple/GraphEvaluator.java
deleted file mode 100644
index 9fc51c8e..00000000
--- a/src/main/java/com/seaofnodes/simple/GraphEvaluator.java
+++ /dev/null
@@ -1,181 +0,0 @@
-package com.seaofnodes.simple;
-
-import com.seaofnodes.simple.node.*;
-import com.seaofnodes.simple.type.TypeInteger;
-
-import java.util.Arrays;
-import java.util.BitSet;
-import java.util.HashMap;
-
-public class GraphEvaluator {
-
- public enum ResultType { VALUE, FALLTHROUGH, TIMEOUT }
-
- public record Result(ResultType type, long value) {}
-
- /**
- * Find the start node from some node in the graph or null if there is no start node
- */
- private static StartNode findStart(BitSet visit, Node node) {
- if (node == null) return null;
- if (node instanceof StartNode start) return start;
- if( visit.get(node._nid) ) return null;
- visit.set(node._nid);
- for( Node def : node._inputs ) {
- var res = findStart(visit,def);
- if( res != null ) return res;
- }
- for( Node use : node._outputs ) {
- var res = findStart(visit,use);
- if( res != null ) return res;
- }
- return null;
- }
-
- /**
- * Find the control output from a control node
- */
- private static Node findControl(Node control) {
- for( Node use : control._outputs ) {
- if (use.isCFG()) return use;
- }
- return null;
- }
-
- /**
- * Find the projection for a node
- */
- private static ProjNode findProjection(Node node, int idx) {
- for( Node use : node._outputs ) {
- if (use instanceof ProjNode proj && proj._idx == idx) return proj;
- }
- return null;
- }
-
- /**
- * Cache values for phi and parameter projection nodes.
- */
- private final HashMap<Node, Long> cacheValues = new HashMap<>();
- /**
- * Cache for loop phis as they can depend on itself or other loop phis
- */
- private long[] loopPhiCache = new long[16];
-
- private GraphEvaluator() {
- }
-
- private long div(DivNode div) {
- long in2 = getValue(div.in(2));
- return in2 == 0 ? 0 : getValue(div.in(1)) / in2;
- }
-
- /**
- * Calculate the value of a node
- */
- private long getValue(Node node) {
- var cache = cacheValues.get(node);
- if (cache != null) return cache;
- return switch (node) {
- case ConstantNode cons -> ((TypeInteger)cons.compute()).value();
- case AddNode add -> getValue(add.in(1)) + getValue(add.in(2));
- case BoolNode.EQ eq -> getValue(eq.in(1)) == getValue(eq.in(2)) ? 1 : 0;
- case BoolNode.LE le -> getValue(le.in(1)) <= getValue(le.in(2)) ? 1 : 0;
- case BoolNode.LT lt -> getValue(lt.in(1)) < getValue(lt.in(2)) ? 1 : 0;
- case DivNode div -> div(div);
- case MinusNode minus -> -getValue(minus.in(1));
- case MulNode mul -> getValue(mul.in(1)) * getValue(mul.in(2));
- case NotNode not -> getValue(not.in(1)) == 0 ? 1 : 0;
- case SubNode sub -> getValue(sub.in(1)) - getValue(sub.in(2));
- default -> throw Utils.TODO("Unexpected node " + node);
- };
- }
-
- /**
- * Special case of latchPhis when phis can depend on phis of the same region.
- */
- private void latchLoopPhis(RegionNode region, Node prev) {
- int idx = Utils.find(region._inputs, prev);
- assert idx > 0;
- int i = 0;
- for( Node use : region._outputs ) {
- if (use instanceof PhiNode phi) {
- var value = getValue(phi.in(idx));
- if (i == loopPhiCache.length) loopPhiCache = Arrays.copyOf(loopPhiCache, loopPhiCache.length*2);
- loopPhiCache[i++] = value;
- }
- }
- i = 0;
- for( Node use : region._outputs ) {
- if (use instanceof PhiNode phi) cacheValues.put(phi, loopPhiCache[i++]);
- }
- }
-
- /**
- * Calculate the values of phis of the region and caches the values. The phis are not allowed to depend on other phis of the region.
- */
- private void latchPhis(RegionNode region, Node prev) {
- int idx = Utils.find(region._inputs, prev);
- assert idx > 0;
- for( Node use : region._outputs ) {
- if (use instanceof PhiNode phi) {
- var value = getValue(phi.in(idx));
- cacheValues.put(phi, value);
- }
- }
- }
-
- /**
- * Run the graph until either a return is found or the number of loop iterations are done.
- */
- private Result evaluate(StartNode start, long parameter, int loops) {
- var parameter1 = findProjection(start, 1);
- if (parameter1 != null) cacheValues.put(parameter1, parameter);
- Node control = findProjection(start, 0);
- Node prev = start;
- while (control != null) {
- Node next;
- switch (control) {
- case RegionNode region -> {
- if (region instanceof LoopNode && region.in(1) != prev) {
- if (loops--<=0) return new Result(ResultType.TIMEOUT, 0);
- latchLoopPhis(region, prev);
- } else {
- latchPhis(region, prev);
- }
- next = findControl(region);
- }
- case IfNode cond -> next = findProjection(cond, getValue(cond.in(1)) != 0 ? 0 : 1);
- case ReturnNode ret -> {
- return new Result(ResultType.VALUE, getValue(ret.in(1)));
- }
- case ProjNode ignored -> next = findControl(control);
- default -> throw Utils.TODO("Unexpected control node " + control);
- }
- prev = control;
- control = next;
- }
- return new Result(ResultType.FALLTHROUGH, 0);
- }
-
- public static long evaluate(Node graph) {
- return evaluate(graph, 0);
- }
-
- public static long evaluate(Node graph, long parameter) {
- return evaluate(graph, parameter, 1000);
- }
-
- public static long evaluate(Node graph, long parameter, int loops) {
- var res = evaluateWithResult(graph, parameter, loops);
- if (res.type== ResultType.TIMEOUT) throw new RuntimeException("Timeout");
- return res.value;
- }
-
- public static Result evaluateWithResult(Node graph, long parameter, int loops) {
- var start = findStart(new BitSet(), graph);
- if (start == null) return new Result(ResultType.TIMEOUT, 0);
- var evaluator = new GraphEvaluator();
- return evaluator.evaluate(start, parameter, loops);
- }
-
-}
diff --git a/src/main/java/com/seaofnodes/simple/IRPrinter.java b/src/main/java/com/seaofnodes/simple/IRPrinter.java
index 2e40ff74..621bc2d6 100644
--- a/src/main/java/com/seaofnodes/simple/IRPrinter.java
+++ b/src/main/java/com/seaofnodes/simple/IRPrinter.java
@@ -7,7 +7,7 @@ import com.seaofnodes.simple.node.*;
public final class IRPrinter extends IRAdapter<Node> {
private static final com.seaofnodes.print.IRPrinter<Node> PRINT =
new com.seaofnodes.print.IRPrinter<>(new IRPrinter());
- @Override public String type(Node n) { return n._type==null ? "" : n._type.toString(); }
+ @Override public String type(Node n) { return n._type==null ? "" : n._type.str(); }
@Override public int inputColumns() { return 3; }
@Override public Kind kind(Node n) {
if( n instanceof StartNode ) return Kind.START;
diff --git a/src/main/java/com/seaofnodes/simple/IterPeeps.java b/src/main/java/com/seaofnodes/simple/IterPeeps.java
index 41fc6916..7075d526 100644
--- a/src/main/java/com/seaofnodes/simple/IterPeeps.java
+++ b/src/main/java/com/seaofnodes/simple/IterPeeps.java
@@ -1,8 +1,6 @@
package com.seaofnodes.simple;
-import com.seaofnodes.simple.node.ConstantNode;
-import com.seaofnodes.simple.node.Node;
-import com.seaofnodes.simple.node.StopNode;
+import com.seaofnodes.simple.node.*;
import java.util.ArrayList;
import java.util.Arrays;
@@ -95,6 +93,8 @@ public abstract class IterPeeps {
n.moveDepsToWorklist();
assert progressOnList(stop); // Very expensive assert
}
+ if( n.isUnused() && !(n instanceof StopNode) )
+ n.kill(); // Just plain dead
if( obs != null ) obs.after(n, x, true);
}
diff --git a/src/main/java/com/seaofnodes/simple/Parser.java b/src/main/java/com/seaofnodes/simple/Parser.java
index 3c1eab96..7734f4df 100644
--- a/src/main/java/com/seaofnodes/simple/Parser.java
+++ b/src/main/java/com/seaofnodes/simple/Parser.java
@@ -53,14 +53,17 @@ public class Parser {
/**
* List of keywords disallowed as identifiers
*/
- private final HashSet<String> KEYWORDS = new HashSet<>(){{
+ private static final HashSet<String> KEYWORDS = new HashSet<>(){{
add("break");
add("continue");
add("else");
add("false");
add("if");
add("int");
+ add("new");
+ add("null");
add("return");
+ add("struct");
add("true");
add("while");
}};
@@ -75,14 +78,18 @@ public class Parser {
ScopeNode _continueScope;
ScopeNode _breakScope;
+ // Mapping from a Struct name to a Struct.
+ public static Map<String, TypeStruct> OBJS = new HashMap<>();
+
public Parser(String source, TypeInteger arg) {
PARSER = this;
Node.reset();
IterPeeps.reset();
+ OBJS.clear();
_lexer = new Lexer(source);
_scope = new ScopeNode();
_continueScope = _breakScope = null;
- START = new StartNode(new Type[]{ Type.CONTROL, arg });
+ START = new StartNode(new Type[]{ Type.CONTROL, TypeMem.BOT, arg });
STOP = new StopNode(source);
}
@@ -106,8 +113,9 @@ public class Parser {
_xScopes.push(_scope);
// Enter a new scope for the initial control and arguments
_scope.push();
- _scope.define(ScopeNode.CTRL, new ProjNode(START, 0, ScopeNode.CTRL).peephole());
- _scope.define(ScopeNode.ARG0, new ProjNode(START, 1, ScopeNode.ARG0).peephole());
+ _scope.define(ScopeNode.CTRL, Type.CONTROL , new ProjNode(START, 0, ScopeNode.CTRL).peephole());
+ _scope.define(ScopeNode.ARG0, TypeInteger.BOT, new ProjNode(START, 2, ScopeNode.ARG0).peephole());
+ _scope.define("$mem", TypeMem.BOT, new ProjNode(START, 1, "$mem").peephole());
parseBlock();
_scope.pop();
_xScopes.pop();
@@ -144,18 +152,59 @@ public class Parser {
* @return a {@link Node} or {@code null}
*/
private Node parseStatement() {
- if (matchx("return") ) return parseReturn();
- else if (matchx("int")) return parseDecl();
- else if (match ("{" )) return require(parseBlock(),"}");
- else if (matchx("if" )) return parseIf();
- else if (matchx("while")) return parseWhile();
- else if (matchx("break")) return parseBreak();
+ if( false ) return null;
+ else if (matchx("return") ) return parseReturn();
+ else if (matchx("int") ) return parseDecl(TypeInteger.BOT);
+ else if (match ("{") ) return require(parseBlock(),"}");
+ else if (matchx("if") ) return parseIf();
+ else if (matchx("while") ) return parseWhile();
+ else if (matchx("break") ) return parseBreak();
else if (matchx("continue")) return parseContinue();
- else if (matchx(";")) return null; // Empty statement
+ else if (matchx("struct") ) return parseStruct();
+ else if (matchx(";") ) return null; // Empty statement
+ // declarations of vars with struct type are handled in parseExpressionStatement due
+ // to ambiguity
else return parseExpressionStatement();
}
/**
+ * Parse a struct field.
+ * <pre>
+ * int IDENTIFIER ;
+ * </pre>
+ */
+ private Field parseField(String sname) {
+ if( matchx("int") ) // Currently only parsing "int" type fields
+ return require(Field.make(requireId().intern(),TypeInteger.BOT),";");
+ throw errorSyntax("A field type is expected, only type 'int' is supported at present");
+ }
+
+ /**
+ * Parse a struct declaration, and return the following statement.
+ * Only allowed in top level scope.
+ * Structs cannot be redefined.
+ *
+ * @return The statement following the struct
+ */
+ private Node parseStruct() {
+ if (_xScopes.size() > 1) throw errorSyntax("struct declarations can only appear in top level scope");
+ String typeName = requireId();
+ if ( OBJS.containsKey(typeName)) throw errorSyntax("struct '" + typeName + "' cannot be redefined");
+ ArrayList<Field> fields = new ArrayList<>();
+ require("{");
+ while (!peek('}') && !_lexer.isEOF()) {
+ Field field = parseField(typeName);
+ if (fields.contains(field)) throw errorSyntax("Field '" + field + "' already defined in struct '" + typeName + "'");
+ fields.add(field);
+ }
+ require("}");
+ // Build and install the TypeStruct
+ TypeStruct ts = TypeStruct.make(typeName, fields);
+ OBJS.put(typeName, ts); // Insert the struct name in the collection of all struct names
+ return parseStatement();
+ }
+
+ /**
* Parses a while statement
*
* <pre>
@@ -247,7 +296,7 @@ public class Parser {
cur.pop();
// If this is a continue then first time the target is null
// So we just use the pruned current scope as the base for the
- // continue
+ // "continue"
if (toScope == null)
return cur;
// toScope is either the break scope, or a scope that was created here
@@ -272,7 +321,7 @@ public class Parser {
private Node parseIf() {
require("(");
// Parse predicate
- var pred = require(parseExpression(), ")");
+ var pred = require(parseExpression(), ")").keep();
// IfNode takes current control and predicate
Node ifNode = new IfNode(ctrl(), pred).peephole();
// Setup projection nodes
@@ -287,6 +336,7 @@ public class Parser {
// Parse the true side
ctrl(ifT.unkeep()); // set ctrl token to ifTrue projection
+ _scope.upcast(ifT,pred,false); // Up-cast predicate
parseStatement(); // Parse true-side
ScopeNode tScope = _scope;
@@ -294,9 +344,11 @@ public class Parser {
_scope = fScope; // Restore scope, then parse else block if any
ifF.unkeep(); // fScope already owns the false control
if (matchx("else")) {
+ _scope.upcast(ifF,pred,true); // Up-cast predicate
parseStatement();
fScope = _scope;
}
+ pred.unkeep();
if( tScope.nIns() != ndefs || fScope.nIns() != ndefs )
throw error("Cannot define a new name on one arm of an if");
@@ -320,7 +372,7 @@ public class Parser {
*/
private Node parseReturn() {
var expr = require(parseExpression(), ";");
- Node ret = STOP.addReturn(new ReturnNode(ctrl(), expr).peephole());
+ Node ret = STOP.addReturn(new ReturnNode(ctrl(), expr, _scope).peephole());
ctrl(new ConstantNode(Type.XCONTROL).peephole()); // Kill control
return ret;
}
@@ -328,40 +380,86 @@ public class Parser {
/**
- * Parses an expression statement
+ * Parses an expression statement or a declaration statement where type is a struct
*
* <pre>
- * name '=' expression ';'
+ * name; // Error
+ * type name; // Define name with default initial value
+ * type name = expr; // Define name with given initial value
+ * name = expr; // Reassign existing
+ * expr // Something else
* </pre>
* @return an expression {@link Node}, never {@code null}
*/
private Node parseExpressionStatement() {
- var name = requireId();
- require("=");
- var expr = require(parseExpression(), ";");
- if( _scope.update(name, expr)==null )
- throw error("Undefined name '" + name + "'");
+ int old = _lexer._position;
+ Type t = type();
+ String name = requireId();
+ Node expr;
+ if( match(";") ) { // Assign a default value
+ // No type and no expr is an error
+ if( t==null ) throw errorSyntax("expression");
+ expr = new ConstantNode(t.makeInit()).peephole();
+ } else if( match("=") ) { // Assign "= expr;"
+ expr = require(parseExpression(), ";");
+ } else { // Neither, so just a normal expression parse
+ _lexer._position = old;
+ return require(parseExpression(),";");
+ }
+
+ // Defining a new variable vs updating an old one
+ if( t != null ) {
+ if( _scope.define(name,t,expr) == null )
+ throw error("Redefining name '" + name + "'");
+ } else {
+ Node n = _scope.lookup(name);
+ t = _scope.lookupDeclaredType(name);
+ if( n==null )
+ throw error("Undefined name '" + name + "'");
+ _scope.update(name,expr);
+ }
+ if( !expr._type.isa(t) )
+ throw error("Type " + expr._type.str() + " is not of declared type " + t.str());
return expr;
}
+ // Parse a type-or-null
+ private Type type() {
+ int old = _lexer._position;
+ String tname = _lexer.matchId();
+ if( tname==null ) return null;
+ if( tname.equals("int") ) return TypeInteger.BOT;
+ TypeStruct obj = OBJS.get(tname);
+ if( obj != null )
+ return TypeMemPtr.make(obj,match("?"));
+ // Not a type; unwind the parse
+ _lexer._position = old;
+ return null;
+ }
+
/**
* Parses a declStatement
*
* <pre>
- * 'int' name = expression ';'
+ * type name = expression ';'
* </pre>
- * @return an expression {@link Node}, never {@code null}
+ * @return an expression {@link Node}
*/
- private Node parseDecl() {
- // Type is 'int' for now
+ private Node parseDecl(Type t) {
var name = requireId();
- require("=");
- var expr = require(parseExpression(), ";");
- if( _scope.define(name,expr) == null )
+ var expr = match(";")
+ // Assign a null value
+ ? new ConstantNode(t.makeInit()).peephole()
+ // Assign "= expr;"
+ : require(require("=").parseExpression(), ";");
+ if( !expr._type.isa(t) )
+ throw error("Type " + expr._type.str() + " is not of declared type " + t.str());
+ if( _scope.define(name,t,expr) == null )
throw error("Redefining name '" + name + "'");
return expr;
}
+
/**
* Parse an expression of the form:
*
@@ -448,20 +546,21 @@ public class Parser {
* Parse a unary minus expression.
*
* <pre>
- * unaryExpr : ('-') unaryExpr | primaryExpr
+ * unaryExpr : ('-') | '!') unaryExpr | postfixExpr | primaryExpr
* </pre>
* @return a unary expression {@link Node}, never {@code null}
*/
private Node parseUnary() {
if (match("-")) return new MinusNode(parseUnary()).peephole();
- return parsePrimary();
+ if (match("!")) return new NotNode(parseUnary()).peephole();
+ return parsePostfix(parsePrimary());
}
/**
* Parse a primary expression:
*
* <pre>
- * primaryExpr : integerLiteral | Identifier | true | false | '(' expression ')'
+ * primaryExpr : integerLiteral | Identifier | true | false | null | new Identifier | '(' expression ')'
* </pre>
* @return a primary {@link Node}, never {@code null}
*/
@@ -470,6 +569,13 @@ public class Parser {
if( match("(") ) return require(parseExpression(), ")");
if( matchx("true" ) ) return new ConstantNode(TypeInteger.constant(1)).peephole();
if( matchx("false") ) return new ConstantNode(TypeInteger.constant(0)).peephole();
+ if( matchx("null" ) ) return new ConstantNode(TypeMemPtr.NULLPTR).peephole();
+ if( matchx("new") ) {
+ String structName = requireId();
+ TypeStruct obj = OBJS.get(structName);
+ if( obj == null) throw errorSyntax("Unknown struct type '" + structName + "'");
+ return newStruct(obj);
+ }
String name = _lexer.matchId();
if( name == null) throw errorSyntax("an identifier or expression");
Node n = _scope.lookup(name);
@@ -478,6 +584,54 @@ public class Parser {
}
/**
+ * Return a NewNode but also generate instructions to initialize it.
+ */
+ private Node newStruct( TypeStruct obj ) {
+ Node n = new NewNode(TypeMemPtr.make(obj), ctrl()).peephole().keep();
+ Node initValue = new ConstantNode(TypeInteger.constant(0)).peephole();
+ for( Field field : obj._fields ) {
+ mem(new StoreNode(field._fname, mem(), n, initValue).peephole());
+ }
+ return n.unkeep();
+ }
+
+ // Memory is one hidden SSA variable, including across branches and loops.
+ private Node mem() { return _scope.lookup("$mem"); }
+ private Node mem(Node n) { return _scope.update("$mem",n); }
+
+ /**
+ * Parse postfix expression. For now this is just a field
+ * expression, but in future could be array index too.
+ *
+ * <pre>
+ * expr ('.' IDENTIFIER)* [ = expr ]
+ * </pre>
+ */
+ private Node parsePostfix(Node expr) {
+ if( !match(".") ) return expr;
+
+ if( !(expr._type instanceof TypeMemPtr ptr) )
+ throw error("Expected struct reference but got " + expr._type.str());
+
+ String name = requireId().intern();
+ int idx = ptr._obj==null ? -1 : ptr._obj.find(name);
+ if( idx == -1 ) throw error("Accessing unknown field '" + name + "' from '" + ptr.str() + "'");
+
+ if( match("=") ) {
+ // Disambiguate "obj.fld==x" boolean test from "obj.fld=x" field assignment
+ if( peek('=') ) _lexer._position--;
+ else {
+ Node val = parseExpression();
+ mem(new StoreNode(name, mem(), expr, val).peephole());
+ return expr; // "obj.a = expr" returns the expression while updating memory
+ }
+ }
+
+ Type declaredType = ptr._obj._fields[idx]._type;
+ return parsePostfix(new LoadNode(name, declaredType, mem(), expr).peephole());
+ }
+
+ /**
* Parse integer literal
*
* <pre>
@@ -497,6 +651,7 @@ public class Parser {
private boolean matchx(String syntax) { return _lexer.matchx(syntax); }
// Return true and do NOT skip if 'ch' is next
private boolean peek(char ch) { return _lexer.peek(ch); }
+ private boolean peekIsId() { return _lexer.peekIsId(); }
// Require and return an identifier
private String requireId() {
@@ -505,9 +660,11 @@ public class Parser {
throw error("Expected an identifier, found '"+id+"'");
}
+
+
// Require an exact match
- private void require(String syntax) { require(null, syntax); }
- private <N extends Node> N require(N n, String syntax) {
+ private Parser require(String syntax) { require(null, syntax); return this; }
+ private <N> N require(N n, String syntax) {
if (match(syntax)) return n;
throw errorSyntax(syntax);
}
@@ -594,6 +751,8 @@ public class Parser {
return true;
}
+ // Match must be exact and not followed by more ID characters.
+ // Prevents identifier "ifxy" from matching an "if" statement.
boolean matchx(String syntax) {
if( !match(syntax) ) return false;
if( !isIdLetter(peek()) ) return true;
@@ -606,10 +765,14 @@ public class Parser {
return peek()==ch;
}
+ boolean peekIsId() {
+ skipWhiteSpace();
+ return isIdStart(peek());
+ }
+
// Return an identifier or null
String matchId() {
- skipWhiteSpace();
- return isIdStart(peek()) ? parseId() : null;
+ return peekIsId() ? parseId() : null;
}
// Used for errors
diff --git a/src/main/java/com/seaofnodes/simple/Utils.java b/src/main/java/com/seaofnodes/simple/Utils.java
index 45f15327..4f2af769 100644
--- a/src/main/java/com/seaofnodes/simple/Utils.java
+++ b/src/main/java/com/seaofnodes/simple/Utils.java
@@ -36,4 +36,30 @@ public class Utils {
return i;
return -1;
}
+ /**
+ * Search a list for an element by reference
+ *
+ * @param ary List to search in
+ * @param x Object to be searched
+ * @return >= 0 on success, -1 on failure
+ */
+ public static <E> int find( E[] ary, E x ) {
+ for( int i=0; i<ary.length; i++ )
+ if( ary[i]==x )
+ return i;
+ return -1;
+ }
+
+ // Rotate a long, nice for hashes
+ public static long rot( long x, int n ) { return (x<<n) | (x>>>n); }
+
+ // Fold a 64bit hash into 32 bits
+ public static int fold( long x ) { return (int)((x>>32) ^ x); }
+
+ public static boolean eq(String s0, String s1) {
+ if( s0==s1 ) return true;
+ assert s0==s0.intern();
+ assert s1==s1.intern();
+ return false;
+ }
}
diff --git a/src/main/java/com/seaofnodes/simple/node/AddNode.java b/src/main/java/com/seaofnodes/simple/node/AddNode.java
index c299e805..e235d288 100644
--- a/src/main/java/com/seaofnodes/simple/node/AddNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/AddNode.java
@@ -129,7 +129,7 @@ public class AddNode extends Node {
for( int i=1; i<ns.length; i++ )
ns[i] = op.copy(lphi.in(i), rhs instanceof PhiNode ? rhs.in(i) : rhs).peephole();
String label = lphi._label + (rhs instanceof PhiNode rphi ? rphi._label : "");
- Node phi = new PhiNode(label,ns).peephole();
+ Node phi = new PhiNode(label,lphi._declaredType,ns).peephole();
// Rotate needs another op, otherwise just the phi
return lhs==lphi ? phi : op.copy(lhs.in(1),phi);
}
diff --git a/src/main/java/com/seaofnodes/simple/node/BoolNode.java b/src/main/java/com/seaofnodes/simple/node/BoolNode.java
index a6b8bfc7..63452dba 100644
--- a/src/main/java/com/seaofnodes/simple/node/BoolNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/BoolNode.java
@@ -4,6 +4,7 @@ import com.seaofnodes.print.ExprPrinter;
import com.seaofnodes.simple.type.Type;
import com.seaofnodes.simple.type.TypeInteger;
+import com.seaofnodes.simple.type.TypeMemPtr;
abstract public class BoolNode extends Node {
@@ -43,11 +44,25 @@ abstract public class BoolNode extends Node {
if( in(1)==in(2) )
return new ConstantNode(TypeInteger.constant(doOp(3,3)?1:0));
+ // Equals pushes constant to the right; 5==X becomes X==5.
+ if( this instanceof EQ ) {
+ if( !(in(2) instanceof ConstantNode) ) {
+ // con==noncon becomes noncon==con
+ if( in(1) instanceof ConstantNode )
+ return new EQ(in(2),in(1));
+ // Equals sorts by NID otherwise: non.high == non.low becomes non.low == non.high
+ else if( in(1)._nid > in(2)._nid )
+ return new EQ(in(2),in(1));
+ }
+ // Equals X==0 becomes a !X
+ if( (in(2)._type == TypeInteger.ZERO || in(2)._type == TypeMemPtr.NULLPTR) )
+ return new NotNode(in(1));
+ }
+
// Do we have ((phi cons) cmp con) ?
// Do we have ((phi cons) cmp (phi cons)) ?
// Push the compare up through the phi: (phi con0 cmp con, con1 cmp con...)
- // No rotate: compares are not associative.
- Node phicon = AddNode.phiCon(this,false);
+ Node phicon = AddNode.phiCon(this,this instanceof EQ);
if( phicon!=null ) return phicon;
return null;
diff --git a/src/main/java/com/seaofnodes/simple/node/CastNode.java b/src/main/java/com/seaofnodes/simple/node/CastNode.java
new file mode 100644
index 00000000..c1faf210
--- /dev/null
+++ b/src/main/java/com/seaofnodes/simple/node/CastNode.java
@@ -0,0 +1,36 @@
+package com.seaofnodes.simple.node;
+
+import com.seaofnodes.print.ExprPrinter;
+
+import com.seaofnodes.simple.type.Type;
+import com.seaofnodes.simple.type.TypeInteger;
+import com.seaofnodes.simple.IterPeeps;
+
+
+// Upcast (join) the input to a t. Used after guard test to lift an input.
+// Can also be used to make a type-assertion if ctrl is null.
+public class CastNode extends Node {
+ private final Type _t;
+ public CastNode(Type t, Node ctrl, Node in) {
+ super(ctrl, in);
+ _t = t;
+ setType(compute());
+ }
+
+ @Override public String label() { return "("+_t.str()+")"; }
+
+
+ @Override protected ExprPrinter<Node> _print1(ExprPrinter<Node> p) {
+ return p.p(label()).n(in(1));
+ }
+
+ @Override
+ public Type compute() {
+ return in(1)._type.join(_t);
+ }
+
+ @Override
+ public Node idealize() {
+ return in(1)._type.isa(_t) ? in(1) : null;
+ }
+}
diff --git a/src/main/java/com/seaofnodes/simple/node/ConstantNode.java b/src/main/java/com/seaofnodes/simple/node/ConstantNode.java
index cf2465e3..426736ed 100644
--- a/src/main/java/com/seaofnodes/simple/node/ConstantNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/ConstantNode.java
@@ -53,9 +53,4 @@ public class ConstantNode extends Node {
@Override
int hash() { return _con.hashCode(); }
-
- // Dead control is its own idom root
- Node idom() { return null; }
- @Override int idepth() { return 0; }
-
}
diff --git a/src/main/java/com/seaofnodes/simple/node/IfNode.java b/src/main/java/com/seaofnodes/simple/node/IfNode.java
index 1c3d2c85..45f695a5 100644
--- a/src/main/java/com/seaofnodes/simple/node/IfNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/IfNode.java
@@ -1,15 +1,16 @@
package com.seaofnodes.simple.node;
+import com.seaofnodes.simple.IterPeeps;
import com.seaofnodes.simple.type.Type;
import com.seaofnodes.simple.type.TypeInteger;
import com.seaofnodes.simple.type.TypeTuple;
-
public class IfNode extends MultiNode {
public IfNode(Node ctrl, Node pred) {
super(ctrl, pred);
+ IterPeeps.add(this); // Because idoms are complex, just add it
}
@Override
diff --git a/src/main/java/com/seaofnodes/simple/node/LoadNode.java b/src/main/java/com/seaofnodes/simple/node/LoadNode.java
new file mode 100644
index 00000000..31c7699c
--- /dev/null
+++ b/src/main/java/com/seaofnodes/simple/node/LoadNode.java
@@ -0,0 +1,90 @@
+package com.seaofnodes.simple.node;
+
+import com.seaofnodes.print.ExprPrinter;
+
+import com.seaofnodes.simple.type.Type;
+
+
+/**
+ * Load represents extracting a value from inside a memory object,
+ * in chapter 10 this means Struct fields.
+ */
+public class LoadNode extends MemOpNode {
+
+ Type _declaredType;
+ /**
+ * Load a value from a ptr.field.
+ *
+ * @param name The field we are loading
+ * @param memSlice The whole-memory node - this is updated after a Store
+ * @param memPtr The ptr to the struct from where we load a field
+ */
+ public LoadNode(String name, Type glb, Node memSlice, Node memPtr) {
+ super(name, memSlice, memPtr, null);
+ _declaredType = glb;
+ }
+
+ @Override boolean canDrop(MemOpNode other, Node dep) {
+ return super.canDrop(other,dep) && _declaredType==((LoadNode)other)._declaredType && !clobbered(dep);
+ }
+
+ // A Store directly clobbers this memory. A Phi might lead to a clobber
+ // through a cycle; conservatively stop rather than searching beyond it.
+ private boolean clobbered(Node dep) {
+ Node mem = mem();
+ mem.addDepForwards(dep);
+ for( Node use : mem._outputs ) {
+ if( use==null ) continue;
+ use.addDepForwards(dep);
+ if( use instanceof StoreNode || use instanceof PhiNode ) return true;
+ }
+ return false;
+ }
+
+ @Override
+ public String label() { return "Load"; }
+
+ @Override
+ protected ExprPrinter<Node> _print1(ExprPrinter<Node> p) { return p.p(".").p(_name); }
+
+ @Override
+ public Type compute() {
+ return _declaredType;
+ }
+
+ @Override
+ public Node idealize() {
+
+ // Simple Load-after-Store on same address.
+ if( mem() instanceof StoreNode st &&
+ ptr() == st.ptr() && _name.equals(st._name) ) { // Must check same object
+ return st.val();
+ }
+
+ // Push a Load up through a Phi, as long as it collapses on at least
+ // one arm. If at a Loop, the backedge MUST collapse - else we risk
+ // spinning the same transform around the loop indefinitely.
+ // BEFORE (2 Sts, 1 Ld): AFTER (1 St, 0 Ld):
+ // if( pred ) ptr.x = e0; val = pred ? e0
+ // else ptr.x = e1; : e1;
+ // val = ptr.x; ptr.x = val;
+ if( mem() instanceof PhiNode memphi && memphi.region()._type == Type.CONTROL && memphi.nIns()== 3 ) {
+ // Profit on RHS/Loop backedge
+ if( profit(memphi,2) ||
+ // Else must not be a loop to count profit on LHS.
+ (!(memphi.region() instanceof LoopNode) && profit(memphi,1)) ) {
+ Node ld1 = new LoadNode(_name,_declaredType,memphi.in(1),ptr()).peephole();
+ Node ld2 = new LoadNode(_name,_declaredType,memphi.in(2),ptr()).peephole();
+ return new PhiNode(_name,_type,memphi.region(),ld1,ld2);
+ }
+ }
+
+ return null;
+ }
+
+ // Profitable if we find a matching Store on this Phi arm.
+ private boolean profit(PhiNode phi, int idx) {
+ Node px = phi.in(idx);
+ return px!=null && px.addDep(this) instanceof StoreNode st1 && ptr()==st1.ptr() && _name.equals(st1._name);
+ }
+}
diff --git a/src/main/java/com/seaofnodes/simple/node/LoopNode.java b/src/main/java/com/seaofnodes/simple/node/LoopNode.java
index fa9d871e..a0ba973e 100644
--- a/src/main/java/com/seaofnodes/simple/node/LoopNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/LoopNode.java
@@ -25,7 +25,7 @@ public class LoopNode extends RegionNode {
return inProgress() ? null : super.idealize();
}
+ // Bypass Region idom, same as the default idom() using use entry in(1) instead of in(0)
@Override int idepth() { return _idepth!=0 ? _idepth : cacheIDepth(entry().idepth()+1); }
-
@Override Node idom() { return entry(); }
}
diff --git a/src/main/java/com/seaofnodes/simple/node/MemOpNode.java b/src/main/java/com/seaofnodes/simple/node/MemOpNode.java
new file mode 100644
index 00000000..138f8fa5
--- /dev/null
+++ b/src/main/java/com/seaofnodes/simple/node/MemOpNode.java
@@ -0,0 +1,46 @@
+package com.seaofnodes.simple.node;
+
+import com.seaofnodes.simple.type.Type;
+import com.seaofnodes.simple.type.TypeMemPtr;
+
+/**
+ * Convenience common base for Load and Store.
+ */
+public abstract class MemOpNode extends Node {
+
+ public final String _name;
+
+ public MemOpNode(String name, Node memSlice, Node memPtr, Node value) {
+ super(null, memSlice, memPtr, value);
+ _name = name;
+ }
+
+ public Node mem() { return in(1); }
+ public Node ptr() { return in(2); }
+
+ // Extra conditions for factoring matching memory operations through a Phi.
+ // The caller has already checked the opcode, input shape and control.
+ boolean canDrop(MemOpNode other, Node dep) {
+ ptr().addDep(dep);
+ if( !_name.equals(other._name) || err()!=null ) return false;
+ return !(ptr()._type instanceof TypeMemPtr p &&
+ other.ptr()._type instanceof TypeMemPtr q && p._obj!=q._obj);
+ }
+
+ @Override
+ boolean eq(Node n) {
+ MemOpNode mem = (MemOpNode)n; // Invariant
+ return _name.equals(mem._name);
+ }
+
+ @Override
+ int hash() { return _name.hashCode(); }
+
+ @Override
+ String err() {
+ Type ptr = ptr()._type;
+ return (ptr==Type.BOTTOM || (ptr instanceof TypeMemPtr tmp && tmp._nil) )
+ ? "Might be null accessing '" + _name + "'"
+ : null;
+ }
+}
diff --git a/src/main/java/com/seaofnodes/simple/node/MinusNode.java b/src/main/java/com/seaofnodes/simple/node/MinusNode.java
index 0934c37f..5b65b3fb 100644
--- a/src/main/java/com/seaofnodes/simple/node/MinusNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/MinusNode.java
@@ -20,5 +20,11 @@ public class MinusNode extends Node {
}
@Override
- public Node idealize() { return null; }
+ public Node idealize() {
+ // -(-x) is x
+ if( in(1) instanceof MinusNode minus )
+ return minus.in(1);
+
+ return null;
+ }
}
diff --git a/src/main/java/com/seaofnodes/simple/node/NewNode.java b/src/main/java/com/seaofnodes/simple/node/NewNode.java
new file mode 100644
index 00000000..857920bc
--- /dev/null
+++ b/src/main/java/com/seaofnodes/simple/node/NewNode.java
@@ -0,0 +1,36 @@
+package com.seaofnodes.simple.node;
+
+import com.seaofnodes.print.ExprPrinter;
+
+import com.seaofnodes.simple.type.Type;
+import com.seaofnodes.simple.type.TypeMemPtr;
+
+
+public class NewNode extends Node {
+
+ TypeMemPtr _ptr;
+
+ public NewNode(TypeMemPtr ptr, Node ctrl) {
+ super(ctrl);
+ this._ptr = ptr;
+ }
+
+ @Override
+ public String label() { return "new"; }
+
+ @Override protected ExprPrinter<Node> _print1(ExprPrinter<Node> p) {
+ return p.p("new ").p(_ptr._obj.str());
+ }
+
+ @Override
+ public Type compute() { return _ptr; }
+
+ @Override
+ public Node idealize() { return null; }
+
+ @Override
+ boolean eq(Node n) { return this == n; }
+
+ @Override
+ int hash() { return _ptr.hashCode(); }
+}
diff --git a/src/main/java/com/seaofnodes/simple/node/Node.java b/src/main/java/com/seaofnodes/simple/node/Node.java
index 3c1ed0ab..d0752af1 100644
--- a/src/main/java/com/seaofnodes/simple/node/Node.java
+++ b/src/main/java/com/seaofnodes/simple/node/Node.java
@@ -17,7 +17,7 @@ import java.util.function.Function;
* The Node class provides common functionality used by all subtypes.
* Subtypes of Node specialize by overriding methods.
*/
-public abstract class Node extends BaseNode<Node> {
+public abstract class Node extends BaseNode<Node> implements Cloneable {
/**
* Inputs to the node. These are use-def references to Nodes.
@@ -26,7 +26,7 @@ public abstract class Node extends BaseNode<Node> {
* Ordering is required because e.g. "a/b" is different from "b/a".
* The first input (offset 0) is often a {@link #isCFG} node.
*/
- public final ArrayList<Node> _inputs;
+ public ArrayList<Node> _inputs;
/**
* Outputs reference Nodes that are not null and have this Node as an
@@ -37,7 +37,7 @@ public abstract class Node extends BaseNode<Node> {
* walked in either direction. These outputs are typically used for
* efficient optimizations but otherwise have no semantics meaning.
*/
- public final ArrayList<Node> _outputs;
+ public ArrayList<Node> _outputs;
/**
* Current computed type for this Node. This value changes as the graph
@@ -46,15 +46,6 @@ public abstract class Node extends BaseNode<Node> {
public Type _type;
/**
- * Immediate dominator tree depth, used to approximate a real IDOM during
- * parsing where we do not have the whole program, and also peepholes
- * change the CFG incrementally.
- * <p>
- * See {@link <a href="https://en.wikipedia.org/wiki/Dominator_(graph_theory)">...</a>}
- */
- char _idepth;
-
- /**
* A private Global Static mutable counter, for unique node id generation.
* To make the compiler multithreaded, this field will have to move into a TLS.
* Starting with value 1, to avoid bugs confusing node ID 0 with uninitialized values.
@@ -99,6 +90,8 @@ public abstract class Node extends BaseNode<Node> {
public boolean isUnused() { return nOuts() == 0; }
+ public boolean isMem() { return false; }
+
/**
* Change a <em>def</em> into a Node. Keeps the edges correct, by removing
* the corresponding <em>use->def</em> edge. This may make the original
@@ -129,6 +122,7 @@ public abstract class Node extends BaseNode<Node> {
old_def.kill(); // Kill old def
// Set the new_def over the old (killed) edge
_inputs.set(idx,new_def);
+ moveDepsToWorklist();
// Return self for easy flow-coding
return new_def;
}
@@ -173,6 +167,7 @@ public abstract class Node extends BaseNode<Node> {
// Error is 'use' does not exist; ok for 'use' to be null.
protected boolean delUse( Node use ) {
Utils.del(_outputs, Utils.find(_outputs, use));
+ moveDepsToWorklist(); // User-count and anti-dependence queries can now change.
return _outputs.isEmpty();
}
@@ -216,6 +211,8 @@ public abstract class Node extends BaseNode<Node> {
public <N extends Node> N keep() { addUse(null); return (N)this; }
// Remove bogus null.
public <N extends Node> N unkeep() { delUse(null); return (N)this; }
+ // Test "keep" status
+ public boolean iskeep() { return Utils.find(_outputs,null) != -1; }
// Replace self with nnn in the graph, making 'this' go dead
public void subsume( Node nnn ) {
@@ -225,6 +222,7 @@ public abstract class Node extends BaseNode<Node> {
n.unlock();
int idx = Utils.find(n._inputs, this);
n._inputs.set(idx,nnn);
+ n.moveDepsToWorklist(); // Rewiring can change a dependent query without changing type.
nnn.addUse(n);
}
kill();
@@ -270,7 +268,7 @@ public abstract class Node extends BaseNode<Node> {
Type old = setType(compute());
// Replace constant computations from non-constants with a constant node
- if (!(this instanceof ConstantNode) && _type.isHighOrConst() )
+ if( !(this instanceof ConstantNode) && _type.isHighOrConst() )
return new ConstantNode(_type).peepholeOpt();
// Global Value Numbering
@@ -305,7 +303,7 @@ public abstract class Node extends BaseNode<Node> {
private Node deadCodeElim(Node m) {
// If self is going dead and not being returned here (Nodes returned
// from peephole commonly have no uses (yet)), then kill self.
- if( m != this && isUnused() ) {
+ if( m != this && isUnused() && !isDead() ) {
// Killing self - and since self recursively kills self's inputs we
// might end up killing 'm', which we are returning as a live Node.
// So we add a bogus extra null output edge to stop kill().
@@ -403,11 +401,13 @@ public abstract class Node extends BaseNode<Node> {
public Node dep(int idx) { return _deps.get(idx); }
/**
- * Add a node to the list o dependencies. Only add it if its not
- * an input or output of this node, that is, it is at least one step
- * away. The node being added must benefit from this node being peepholed.
+ * Add a node to the list of dependencies. Only add it if its not an input
+ * or output of this node, that is, it is at least one step away. The node
+ * being added must benefit from this node being peepholed.
*/
- Node addDep( Node dep ) {
+ Node addDep(Node dep) { return addDep(dep,false); }
+ Node addDepForwards(Node dep) { return addDep(dep,true); }
+ private Node addDep(Node dep, boolean forwards) {
// Running peepholes during the big assert cannot have side effects
// like adding dependencies.
if( IterPeeps.midAssert() ) return this;
@@ -415,8 +415,8 @@ public abstract class Node extends BaseNode<Node> {
if( obs != null ) obs.dep(this, dep);
if( _deps==null ) _deps = new ArrayList<>();
if( Utils.find(_deps ,dep) != -1 ) return this; // Already on list
- if( Utils.find(_inputs,dep) != -1 ) return this; // No need for deps on immediate neighbors
- if( Utils.find(_outputs,dep)!= -1 ) return this;
+ if( !forwards && Utils.find(_inputs,dep) != -1 ) return this; // No need for deps on immediate neighbors
+ if( !forwards && Utils.find(_outputs,dep)!= -1 ) return this;
_deps.add(dep);
return this;
}
@@ -490,14 +490,11 @@ public abstract class Node extends BaseNode<Node> {
}
/**
- * Does this node contain all constants?
- * Ignores in(0), as is usually control.
- * In an input is not a constant, we add dep as
- * a dependency to it, because dep can make progress
- * if the input becomes a constant later.
- * It is sufficient for one of the non-const
- * inputs to have the dependency so we don't bother
- * checking the rest.
+ * Does this node contain all constants? Ignores in(0), as is usually
+ * control. In an input is not a constant, we add dep as a dependency to
+ * it because dep can make progress if the input becomes a constant later.
+ * It is sufficient for one of the non-const inputs to have the dependency,
+ * so we don't bother checking the rest.
*/
boolean allCons(Node dep) {
for( int i=1; i<nIns(); i++ )
@@ -508,8 +505,14 @@ public abstract class Node extends BaseNode<Node> {
return true;
}
- // Return the immediate dominator of this Node and compute dom tree depth.
- Node idom() { return in(0); }
+ /**
+ * Immediate dominator tree depth, used to approximate a real IDOM depth
+ * during parsing where we do not have the whole program, and also
+ * peepholes change the CFG incrementally.
+ * <p>
+ * See {@link <a href="https://en.wikipedia.org/wiki/Dominator_(graph_theory)">...</a>}
+ */
+ public char _idepth; // IDOM depth approx; Zero is unset; non-zero is cached legit
// Find the lowest common ancestor in the current dominator tree.
Node domLCA(Node rhs) {
@@ -531,11 +534,31 @@ public abstract class Node extends BaseNode<Node> {
return _idepth = (char)depth;
}
+ // Return the immediate dominator of this Node.
+ Node idom() { return in(0); }
+
// Make a shallow copy (same class) of this Node, with given inputs and
// empty outputs and a new Node ID. The original inputs are ignored.
// Does not need to be implemented in isCFG() nodes.
Node copy(Node lhs, Node rhs) { throw Utils.TODO("Binary ops need to implement copy"); }
+ // Exact-class copy preserving operation attributes, with fresh identity
+ // and no edges, dependencies, or GVN membership.
+ public final Node copyEmpty() {
+ Node n;
+ try { n = (Node)clone(); }
+ catch( CloneNotSupportedException e ) { throw new AssertionError(e); }
+ n._nid = UNIQUE_ID++;
+ n._inputs = new ArrayList<>();
+ n._outputs = new ArrayList<>();
+ n._deps = null;
+ n._hash = 0;
+ return n;
+ }
+
+ // Report any post-optimize errors
+ String err() { return null; }
+
/**
* Used to allow repeating tests in the same JVM. This just resets the
* Node unique id generator, and is done as part of making a new Parser.
diff --git a/src/main/java/com/seaofnodes/simple/node/NotNode.java b/src/main/java/com/seaofnodes/simple/node/NotNode.java
index 8077f108..5e556390 100644
--- a/src/main/java/com/seaofnodes/simple/node/NotNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/NotNode.java
@@ -1,9 +1,8 @@
package com.seaofnodes.simple.node;
-import com.seaofnodes.simple.type.Type;
-import com.seaofnodes.simple.type.TypeInteger;
-
+import com.seaofnodes.simple.Utils;
+import com.seaofnodes.simple.type.*;
public class NotNode extends Node {
public NotNode(Node in) { super(null, in); }
@@ -14,9 +13,24 @@ public class NotNode extends Node {
@Override
public Type compute() {
- if( in(1)._type instanceof TypeInteger i0 )
+ Type t0 = in(1)._type;
+ switch( t0 ) {
+ case TypeInteger i0:
return i0.isConstant() ? TypeInteger.constant(i0.value()==0 ? 1 : 0) : i0;
- return in(1)._type==Type.TOP ? TypeInteger.TOP : TypeInteger.BOT;
+ case TypeMemPtr p0:
+ // top->top, bot->bot, null->1, *void->0, not-null ptr->0, ptr/nil->bot
+ // If input in null then true
+ // If input is not null ptr then false
+ if( p0 == TypeMemPtr.TOP ) return TypeInteger.TOP;
+ if( p0 == TypeMemPtr.NULLPTR ) return TypeInteger.constant(1);
+ if( !p0._nil ) return TypeInteger.constant(0);
+ return TypeInteger.BOT;
+ case Type t:
+ if( t0.getClass() != Type.class )
+ // Only doing NOT on ints and ptrs
+ throw Utils.TODO();
+ return t0==Type.TOP ? TypeInteger.TOP : TypeInteger.BOT;
+ }
}
@Override
diff --git a/src/main/java/com/seaofnodes/simple/node/PhiNode.java b/src/main/java/com/seaofnodes/simple/node/PhiNode.java
index fe6231fa..24a72aa4 100644
--- a/src/main/java/com/seaofnodes/simple/node/PhiNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/PhiNode.java
@@ -3,13 +3,19 @@ package com.seaofnodes.simple.node;
import com.seaofnodes.print.ExprPrinter;
import com.seaofnodes.simple.type.Type;
+import com.seaofnodes.simple.type.TypeMem;
+import com.seaofnodes.simple.Utils;
public class PhiNode extends Node {
final String _label;
- public PhiNode(String label, Node... inputs) { super(inputs); _label = label; }
+ // The Phi type we compute must stay within the domain of the Phi.
+ // Example Int stays Int, Ptr stays Ptr, Control stays Control, Mem stays Mem.
+ final Type _declaredType;
+
+ public PhiNode(String label, Type declaredType, Node... inputs) { super(inputs); _label = label; assert declaredType!=null; _declaredType = declaredType; }
@Override public String label() { return "Phi_"+_label; }
@@ -24,17 +30,21 @@ public class PhiNode extends Node {
Node region() { return in(0); }
@Override public boolean isMultiTail() { return true; }
+ @Override
+ public boolean isMem() { return _declaredType instanceof TypeMem; }
@Override
public Type compute() {
if( !(region() instanceof RegionNode r) )
return region()._type==Type.XCONTROL ? Type.TOP : _type;
- if( r.inProgress() ) return Type.BOTTOM;
- Type t = Type.TOP;
+ // During parsing Phis have to be computed type pessimistically.
+ if( r.inProgress() ) return _declaredType;
+ // Set type to local top of the starting type
+ Type t = _declaredType.glb().dual();
for (int i = 1; i < nIns(); i++)
// If the region's control input is live, add this as a dependency
// to the control because we can be peeped should it become dead.
- if( r.in(i).addDep(this)._type != Type.XCONTROL && in(i) != this )
+ if( r.in(i).addDep(this)._type != Type.XCONTROL )
t = t.meet(in(i)._type);
return t;
}
@@ -51,34 +61,91 @@ public class PhiNode extends Node {
if (live != null)
return live;
- // Pull "down" a common data op. One less op in the world. One more
- // Phi, but Phis do not make code.
- // Phi(op(A,B),op(Q,R),op(X,Y)) becomes
- // op(Phi(A,Q,X), Phi(B,R,Y)).
- Node op = in(1);
- if( op.nIns()==3 && op.in(0)==null && !op.isCFG() && same_op() ) {
- Node[] lhss = new Node[nIns()];
- Node[] rhss = new Node[nIns()];
- lhss[0] = rhss[0] = in(0); // Set Region
- for( int i=1; i<nIns(); i++ ) {
- lhss[i] = in(i).in(1);
- rhss[i] = in(i).in(2);
+ // Phi(op(a,b,...),op(c,d,...)) -> op(Phi(a,c),Phi(b,d),...).
+ Node down;
+ if( same_op() && (down=drop_same_op())!=null ) return down;
+
+ // If merging Phi(N, cast(N)) - we are losing the cast JOIN effects, so just remove.
+ if( nIns()==3 ) {
+ if( in(1) instanceof CastNode cast && cast.in(1).addDep(this)==in(2) ) return in(2);
+ if( in(2) instanceof CastNode cast && cast.in(1).addDep(this)==in(1) ) return in(1);
+ }
+ // If merging a null-checked null and the checked value, just use the value.
+ // if( val ) ..; phi(Region,False=0/null,True=val);
+ // then replace with plain val.
+ if( nIns()==3 ) {
+ int nullx = -1;
+ if( in(1)._type == in(1)._type.makeInit() ) nullx = 1;
+ if( in(2)._type == in(2)._type.makeInit() ) nullx = 2;
+ if( nullx != -1 ) {
+ Node val = in(3-nullx);
+ if( region().idom() instanceof IfNode iff && iff.pred().addDep(this)==val ) {
+ // Must walk the idom on the null side to make sure we hit False.
+ Node idom = region().in(nullx);
+ while( idom.in(0) != iff ) idom = idom.idom();
+ if( idom instanceof ProjNode proj && proj._idx==1 )
+ return val;
+ }
}
- Node phi_lhs = new PhiNode(_label,lhss).peephole();
- Node phi_rhs = new PhiNode(_label,rhss).peephole();
- return op.copy(phi_lhs,phi_rhs);
}
return null;
}
private boolean same_op() {
- for( int i=2; i<nIns(); i++ )
- if( in(1).getClass() != in(i).getClass() )
- return false;
+ Node op = in(1);
+ if( op.isCFG() || op instanceof ConstantNode || op instanceof PhiNode ||
+ op instanceof ProjNode || op instanceof NewNode || op instanceof ScopeNode ) return false;
+ Node busy = null;
+ for( int i=1; i<nIns(); i++ ) {
+ Node n = in(i);
+ if( region().in(i).addDep(this)._type==Type.XCONTROL ||
+ op.getClass()!=n.getClass() || n.nIns()!=op.nIns() || n.in(0)!=null || !op.eq(n) ) return false;
+ if( n instanceof MemOpNode mem && !mem.canDrop((MemOpNode)op,this) ) return false;
+ // Moving a Store must remove the old effect, not duplicate it.
+ // Allow one shared arm: the other arms disappear into the single
+ // factored operation, usually reducing the total operation count.
+ n.addDepForwards(this);
+ if( n.nOuts()>1 ) {
+ for( Node use : n._outputs )
+ if( use!=null && use!=this ) use.addDepForwards(this);
+ if( n instanceof StoreNode || busy!=null ) return false;
+ busy=n;
+ }
+ for( int j=1; j<n.nIns(); j++ )
+ if( n.in(j) instanceof ScopeNode || ((n.in(j)==null) != (op.in(j)==null)) ) return false;
+ }
return true;
}
+ private Node drop_same_op() {
+ Node op = in(1), cp = op.copyEmpty();
+ cp._type = null;
+ cp.addDef(null);
+ for( int j=1; j<op.nIns(); j++ ) {
+ Node x = op.in(j);
+ boolean different = false;
+ for( int i=2; i<nIns(); i++ )
+ if( in(i).in(j)!=x ) different=true;
+ if( different ) {
+ Node[] ins = new Node[nIns()];
+ ins[0] = region();
+ Type t = Type.TOP;
+ for( int i=1; i<nIns(); i++ ) {
+ ins[i] = in(i).in(j);
+ t = t.meet(ins[i]._type);
+ }
+ PhiNode phi = new PhiNode(_label,t.glb(),ins);
+ x = phi.peephole();
+ }
+ cp.addDef(x);
+ }
+ // Factoring must not widen the result (e.g. correlated And operands).
+ if( cp.compute().isa(compute()) ) return cp;
+ cp.kill();
+ return null;
+ }
+
/**
* If only single unique input, return it
*/
diff --git a/src/main/java/com/seaofnodes/simple/node/ProjNode.java b/src/main/java/com/seaofnodes/simple/node/ProjNode.java
index a794dfcc..a2632110 100644
--- a/src/main/java/com/seaofnodes/simple/node/ProjNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/ProjNode.java
@@ -3,6 +3,7 @@ package com.seaofnodes.simple.node;
import com.seaofnodes.print.ExprPrinter;
import com.seaofnodes.simple.type.Type;
+import com.seaofnodes.simple.type.TypeMem;
import com.seaofnodes.simple.type.TypeTuple;
@@ -28,6 +29,7 @@ public class ProjNode extends Node {
@Override public boolean isCFG() { return _idx==0 || ctrl() instanceof IfNode; }
@Override public boolean isMultiTail() { return in(0).isMultiHead(); }
+ @Override public boolean isMem() { return _type instanceof TypeMem; }
public MultiNode ctrl() { return (MultiNode)in(0); }
@@ -39,8 +41,14 @@ public class ProjNode extends Node {
@Override
public Node idealize() {
- if( ctrl()._type instanceof TypeTuple tt && tt._types[1-_idx]==Type.XCONTROL ) // Only true for IfNodes
- return ctrl().in(0); // We become our input control
+ if ( ctrl() instanceof IfNode iff ) {
+ if ( iff._type instanceof TypeTuple tt && tt._types[1 - _idx] == Type.XCONTROL )
+ return iff.in(0); // We become our input control
+
+ // Flip a negating if-test, to remove the not
+ if( iff.pred().addDep(this) instanceof NotNode not )
+ return new ProjNode((MultiNode)new IfNode(iff.ctrl(),not.in(1)).peephole(),1-_idx,_idx==0 ? "False" : "True");
+ }
return null;
}
diff --git a/src/main/java/com/seaofnodes/simple/node/RegionNode.java b/src/main/java/com/seaofnodes/simple/node/RegionNode.java
index 315fcf0e..8b52494a 100644
--- a/src/main/java/com/seaofnodes/simple/node/RegionNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/RegionNode.java
@@ -35,6 +35,7 @@ public class RegionNode extends Node {
@Override
public Node idealize() {
if( inProgress() ) return null;
+ // Delete dead paths into a Region
int path = findDeadInput();
if( path != 0 &&
// Do not delete the entry path of a loop (ok to remove the back
@@ -51,15 +52,25 @@ public class RegionNode extends Node {
while( nouts != nOuts() ) {
nouts = nOuts();
for( int i=0; i<nOuts(); i++ )
- if( out(i) instanceof PhiNode phi && phi.nIns()==nIns() )
+ if( out(i) instanceof PhiNode phi && phi.nIns()==nIns() ) {
phi.delDef(path);
+ IterPeeps.addAll(phi._outputs);
+ }
}
return isDead() ? new ConstantNode(Type.XCONTROL) : delDef(path);
}
// If down to a single input, become that input
- if( nIns()==2 && !hasPhi() ) {
+ if( nIns()==2 && !hasPhi() )
return in(1); // Collapse if no Phis; 1-input Phis will collapse on their own
- }
+
+ // If a CFG diamond with no merging, delete: "if( pred ) {} else {};"
+ if( !hasPhi() && // No Phi users, just a control user
+ in(1) instanceof ProjNode p1 &&
+ in(2) instanceof ProjNode p2 &&
+ p1.addDepForwards(this).in(0)==p2.addDepForwards(this).in(0) &&
+ p1.in(0) instanceof IfNode iff )
+ return iff.ctrl();
+
return null;
}
diff --git a/src/main/java/com/seaofnodes/simple/node/ReturnNode.java b/src/main/java/com/seaofnodes/simple/node/ReturnNode.java
index bc09c623..ef4ddb3a 100644
--- a/src/main/java/com/seaofnodes/simple/node/ReturnNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/ReturnNode.java
@@ -5,37 +5,33 @@ import com.seaofnodes.print.ExprPrinter;
import com.seaofnodes.simple.type.*;
-/**
- * The Return node has two inputs. The first input is a control node and the
- * second is the data node that supplies the return value.
- * <p>
- * In this presentation, Return functions as a Stop node, since multiple <code>return</code> statements are not possible.
- * The Stop node will be introduced in Chapter 6 when we implement <code>if</code> statements.
- * <p>
- * The Return's output is the value from the data node.
- */
+/** Keeps all preceding memory effects and the return value alive: {ctrl, $mem, value}. */
public class ReturnNode extends Node {
- public ReturnNode(Node ctrl, Node data) {
- super(ctrl, data);
+ public ReturnNode(Node ctrl, Node data, ScopeNode scope) {
+ super(ctrl, scope.lookup("$mem"), data);
}
public Node ctrl() { return in(0); }
- public Node expr() { return in(1); }
+ public Node mem () { return in(1); }
+ public Node expr() { return in(2); }
@Override
public String label() { return "Return"; }
@Override
protected ExprPrinter<Node> _print1(ExprPrinter<Node> p) {
- return p.p("return ").n(expr()).p(";");
+ p.p("return ");
+ p.n(expr());
+ return p.p(";");
}
@Override public boolean isCFG() { return true; }
@Override
public Type compute() {
- return TypeTuple.make(ctrl()._type,expr()._type);
+ // Return exposes the complete memory state.
+ return TypeTuple.make(ctrl()._type,TypeMem.BOT,expr()._type);
}
@Override
diff --git a/src/main/java/com/seaofnodes/simple/node/ScopeNode.java b/src/main/java/com/seaofnodes/simple/node/ScopeNode.java
index f34d78e1..d567feb5 100644
--- a/src/main/java/com/seaofnodes/simple/node/ScopeNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/ScopeNode.java
@@ -4,6 +4,8 @@ import com.seaofnodes.print.ExprPrinter;
import com.seaofnodes.simple.IterPeeps;
import com.seaofnodes.simple.type.Type;
+import com.seaofnodes.simple.Utils;
+import com.seaofnodes.simple.type.TypeMemPtr;
import java.util.*;
@@ -25,10 +27,16 @@ public class ScopeNode extends Node {
*/
public final Stack<HashMap<String, Integer>> _scopes;
+ /**
+ * Tracks declared types for every name
+ */
+ public Stack<HashMap<String, Type>> _types;
+
// A new ScopeNode
public ScopeNode() {
_scopes = new Stack<>();
+ _types = new Stack<>();
_type = Type.BOTTOM;
}
@@ -70,14 +78,15 @@ public class ScopeNode extends Node {
@Override public Node idealize() { return null; }
- public void push() { _scopes.push(new HashMap<>()); }
- public void pop() { popN(_scopes.pop().size()); }
+ public void push() { _scopes.push(new HashMap<>()); _types.push(new HashMap<>()); }
+ public void pop() { popN(_scopes.pop().size()); _types.pop(); }
/**
* Create a new name in the current scope
*/
- public Node define( String name, Node n ) {
+ public Node define( String name, Type declaredType, Node n ) {
HashMap<String,Integer> syms = _scopes.lastElement();
+ _types.lastElement().put(name,declaredType);
if( syms.put(name,nIns()) != null )
return null; // Double define
return addDef(n);
@@ -98,7 +107,7 @@ public class ScopeNode extends Node {
public Node update( String name, Node n ) { return update(name,n,_scopes.size()-1); }
/**
* Both recursive lookup and update.
- *
+ * <p>
* A shared implementation allows us to create lazy phis both during
* lookups and updates; the lazy phi creation is part of chapter 8.
*
@@ -121,12 +130,21 @@ public class ScopeNode extends Node {
// Set real Phi in the loop head
// The phi takes its one input (no backedge yet) from a recursive
// lookup, which might have insert a Phi in every loop nest.
- : loop.setDef(idx,new PhiNode(name,loop.ctrl(),loop.update(name,null,nestingLevel),null).peephole());
+ : loop.setDef(idx,new PhiNode(name, lookupDeclaredType(name),loop.ctrl(),loop.update(name,null,nestingLevel),null).peephole());
setDef(idx,old);
}
return n==null ? old : setDef(idx,n); // Not lazy, so this is the answer
}
+ // Return declared type
+ public Type lookupDeclaredType( String name ) {
+ for( int i=_types.size(); i>0; i-- ) {
+ Type t = _types.get(i-1).get(name);
+ if( t != null ) return t;
+ }
+ return null;
+ }
+
public Node ctrl() { return in(0); }
/**
@@ -163,8 +181,10 @@ public class ScopeNode extends Node {
// 3) Ensure that the order of defs is the same to allow easy merging
for( HashMap<String,Integer> syms : _scopes )
dup._scopes.push(new HashMap<>(syms));
+ for( HashMap<String,Type> ts : _types )
+ dup._types.push(ts); // Types don't change, just keep stacks aligned
- dup.addDef(ctrl()); // Control input is just copied
+ dup.addDef(ctrl()); // Control input is just copied
for( int i=1; i<nIns(); i++ )
// For lazy phis on loops we use a sentinel
// that will trigger phi creation on update
@@ -188,8 +208,9 @@ public class ScopeNode extends Node {
if( in(i) != that.in(i) ) // No need for redundant Phis
// If we are in lazy phi mode we need to a lookup
// by name as it will trigger a phi creation
- setDef(i, new PhiNode(ns[i], r, this.lookup(ns[i]), that.lookup(ns[i])).peephole());
+ setDef(i, new PhiNode(ns[i], this.lookupDeclaredType(ns[i]), r, this.lookup(ns[i]), that.lookup(ns[i])).peephole());
that.kill(); // Kill merged scope
+ IterPeeps.add(r);
return r.unkeep().peephole();
}
@@ -217,11 +238,68 @@ public class ScopeNode extends Node {
IterPeeps.addAll(phi._outputs);
phi.moveDepsToWorklist();
if( in != phi ) {
- phi.subsume(in);
+ if( !phi.iskeep() ) // Keeping phi around for parser elsewhere
+ phi.subsume(in);
setDef(i,in); // Set the update back into Scope
}
}
}
}
+
+
+ // Up-casting: using the results of an If to improve a value.
+ // E.g. "if( ptr ) ptr.field;" is legal because ptr is known not-null.
+
+ // This Scope looks for direct variable uses, or certain simple
+ // combinations, and replaces the variable with the upcast variant.
+ public Node upcast( Node ctrl, Node pred, boolean invert ) {
+ if( ctrl._type==Type.XCONTROL ) return null;
+ // A single negation is handled below. For !!p (including p != null),
+ // also refine the underlying p without changing the Boolean result.
+ if( pred instanceof NotNode not && not.in(1) instanceof NotNode ) {
+ pred.keep(); // Recursive peepholes may rediscover this Not.
+ upcast(ctrl,not.in(1),!invert);
+ pred.unkeep();
+ }
+ // Invert the If conditional
+ if( invert )
+ pred = pred instanceof NotNode not ? not.in(1) : IterPeeps.add(new NotNode(pred).peephole());
+
+ // Direct use of a value as predicate. This is a zero/null test.
+ if( Utils.find(_inputs, pred) != -1 ) {
+ if( !(pred._type instanceof TypeMemPtr tmp) )
+ // Must be an `int`, since int and ptr are the only two value types
+ // being tested. No representation for a generic not-null int, so no upcast.
+ return null;
+ if( tmp.isa(TypeMemPtr.VOIDPTR) )
+ return null; // Already not-null, no reason to upcast
+ // Upcast the ptr to not-null ptr, and replace in scope
+ return replace(pred,new CastNode(TypeMemPtr.VOIDPTR,ctrl,pred).peephole());
+ }
+
+ if( pred instanceof NotNode not ) {
+ // Direct use of a !value as predicate. This is a zero/null test.
+ if( Utils.find(_inputs, not.in(1)) != -1 ) {
+ Type tinit = not.in(1)._type.makeInit();
+ if( not.in(1)._type.isa(tinit) ) return null; // Already zero/null, no reason to upcast
+ return replace(not.in(1), new ConstantNode(tinit).peephole());
+ }
+ }
+ // Apr/9/2024: Attempted to replace X with Y if guarded by a test of
+ // X==Y. This didn't seem to help very much, or at least in the test
+ // cases seen so far was a very minor help.
+
+ // No upcast
+ return null;
+ }
+
+ private Node replace( Node old, Node cast ) {
+ assert old!=null && old!=cast;
+ for( int i=0; i<nIns(); i++ )
+ if( in(i)==old )
+ setDef(i,cast);
+ return cast;
+ }
+
}
diff --git a/src/main/java/com/seaofnodes/simple/node/StartNode.java b/src/main/java/com/seaofnodes/simple/node/StartNode.java
index c2fcaba5..3404f111 100644
--- a/src/main/java/com/seaofnodes/simple/node/StartNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/StartNode.java
@@ -2,25 +2,15 @@ package com.seaofnodes.simple.node;
import com.seaofnodes.print.ExprPrinter;
-import com.seaofnodes.simple.type.Type;
-import com.seaofnodes.simple.type.TypeTuple;
+import com.seaofnodes.simple.type.*;
-
-/**
- * The Start node represents the start of the function. For now, we do not
- * have any inputs to Start because our function does not yet accept
- * parameters. When we add parameters the value of Start will be a tuple, and
- * will require Projections to extract the values. We discuss this in detail
- * in Chapter 9: Functions and Calls.
- */
+/** The entry tuple: control, initial whole-memory state, and argument. */
public class StartNode extends MultiNode {
-
final TypeTuple _args;
public StartNode(Type[] args) {
super();
- _args = TypeTuple.make(args);
- _type = _args;
+ _type = _args = TypeTuple.make(args);
}
@Override
@@ -40,8 +30,6 @@ public class StartNode extends MultiNode {
public Node idealize() { return null; }
// No immediate dominator, and idepth==0
- @Override
- Node idom() { return null; }
@Override int idepth() { return 0; }
-
+ @Override Node idom() { return null; }
}
diff --git a/src/main/java/com/seaofnodes/simple/node/StopNode.java b/src/main/java/com/seaofnodes/simple/node/StopNode.java
index d79194d8..4b4e9615 100644
--- a/src/main/java/com/seaofnodes/simple/node/StopNode.java
+++ b/src/main/java/com/seaofnodes/simple/node/StopNode.java
@@ -2,6 +2,8 @@ package com.seaofnodes.simple.node;
import com.seaofnodes.print.ExprPrinter;
+import com.seaofnodes.simple.Parser;
+
import com.seaofnodes.simple.type.Type;
import com.seaofnodes.simple.IterPeeps;
@@ -52,9 +54,22 @@ public class StopNode extends Node {
return null;
}
+ @Override public Node idom() { return null; }
+
public Node addReturn(Node node) {
return addDef(node);
}
- public StopNode iterate() { return IterPeeps.iterate(this); }
+ public StopNode iterate() { return IterPeeps.iterate(this).typeCheck(); }
+ public StopNode typeCheck() {
+ var obs = Parser.PARSER == null ? null : Parser.PARSER._obs;
+ String err = walk(n -> {
+ String msg = n.err();
+ if( msg != null && obs != null ) obs.error(n, msg);
+ return msg;
+ });
+ if( err != null ) throw new RuntimeException(err);
+ if( obs != null ) obs.phase("TypeCheck");
+ return this;
+ }
}
diff --git a/src/main/java/com/seaofnodes/simple/node/StoreNode.java b/src/main/java/com/seaofnodes/simple/node/StoreNode.java
new file mode 100644
index 00000000..71eb0842
--- /dev/null
+++ b/src/main/java/com/seaofnodes/simple/node/StoreNode.java
@@ -0,0 +1,67 @@
+package com.seaofnodes.simple.node;
+
+import com.seaofnodes.print.ExprPrinter;
+
+import com.seaofnodes.simple.type.*;
+
+
+/**
+ * Store represents setting a value to a memory based object, in chapter 10
+ * this means a field inside a struct.
+ */
+public class StoreNode extends MemOpNode {
+
+ /**
+ * @param name The struct field we are assigning to
+ * @param memSlice The whole-memory node - this is updated after a Store
+ * @param memPtr The ptr to the struct where we will store a value
+ * @param value Value to be stored
+ */
+ public StoreNode(String name, Node memSlice, Node memPtr, Node value) {
+ super(name, memSlice, memPtr, value);
+ }
+
+ @Override
+ public String label() { return "Store"; }
+ @Override
+ public boolean isMem() { return true; }
+ public Node val() { return in(3); }
+
+ @Override
+ protected ExprPrinter<Node> _print1(ExprPrinter<Node> p) {
+ return p.p(".").p(_name).p("=").p( val()).p(";");
+ }
+
+ @Override
+ public Type compute() { return TypeMem.BOT; }
+
+ @Override
+ public Node idealize() {
+
+ // Simple store-after-store on same address. Should pick up the
+ // required init-store being stomped by a first user store.
+ if( mem() instanceof StoreNode st &&
+ ptr()==st.ptr() && _name.equals(st._name) && // Must check same object
+ ptr()._type instanceof TypeMemPtr && // No bother if weird dead pointers
+ // Must have exactly one use of "this" or you get weird
+ // non-serializable memory effects in the worse case.
+ st.checkNoUseBeyond(this) ) {
+ setDef(1,st.mem());
+ return this;
+ }
+
+ return null;
+ }
+
+ // Check that `this` has no uses beyond `that`
+ private boolean checkNoUseBeyond(Node that) {
+ if( nOuts()==1 ) return true;
+ // Add deps on the other uses (can be e.g. ScopeNode mid-parse) so that
+ // when the other uses go away we can retry.
+ for( Node use : _outputs )
+ if( use != that )
+ use.addDep(that);
+ return false;
+ }
+
+}
diff --git a/src/main/java/com/seaofnodes/simple/print/SimpleGraphAdapter.java b/src/main/java/com/seaofnodes/simple/print/SimpleGraphAdapter.java
index 64b78766..92d970d8 100644
--- a/src/main/java/com/seaofnodes/simple/print/SimpleGraphAdapter.java
+++ b/src/main/java/com/seaofnodes/simple/print/SimpleGraphAdapter.java
@@ -4,8 +4,9 @@ import com.seaofnodes.graph.GraphAdapter;
import com.seaofnodes.graph.GraphSnapshot.*;
import com.seaofnodes.simple.node.*;
import com.seaofnodes.simple.node.Node;
+import com.seaofnodes.simple.type.TypeMem;
-/** Chapter 9's view of the IR; browser, transport and layout are shared. */
+/** Chapter 10's view of the IR; browser, transport and layout are shared. */
public class SimpleGraphAdapter extends GraphAdapter<Node> {
@Override protected String[] edgeNames(Node n) {
@@ -20,15 +21,20 @@ public class SimpleGraphAdapter extends GraphAdapter<Node> {
if( n instanceof LoopNode ) return Kind.LOOP;
if( n instanceof RegionNode ) return Kind.REGION;
if( n instanceof PhiNode ) return Kind.PHI;
- return n.isCFG() ? Kind.CTRL : Kind.DATA;
+ return n.isCFG() ? Kind.CTRL : isMem(n) ? Kind.MEM : Kind.DATA;
}
@Override protected Role role(Node n, int i) {
if( n instanceof ScopeNode || n instanceof ConstantNode ) return Role.ASSOC;
- if( n instanceof PhiNode ) return i == 0 ? Role.ASSOC : Role.DATA;
- if( n instanceof ProjNode ) return n.isCFG() ? Role.CTRL : Role.DATA;
+ if( n instanceof PhiNode ) return i == 0 ? Role.ASSOC : isMem(n) ? Role.MEM : Role.DATA;
+ if( n instanceof ProjNode ) return n.isCFG() ? Role.CTRL : isMem(n) ? Role.MEM : Role.DATA;
if( n instanceof RegionNode && i == 0 ) return Role.ASSOC;
if( i == 0 || n instanceof RegionNode || n instanceof StopNode ) return Role.CTRL;
+ if( i == 1 && (n instanceof MemOpNode || n instanceof ReturnNode) ) return Role.MEM;
+ Node def = n.in(i);
+ if( def != null && isMem(def) ) return Role.MEM;
return Role.DATA;
}
+
+ private boolean isMem(Node n) { return n.isMem() || n._type instanceof TypeMem; }
}
diff --git a/src/main/java/com/seaofnodes/simple/print/SimpleGraphObserver.java b/src/main/java/com/seaofnodes/simple/print/SimpleGraphObserver.java
index 2c6c90ca..1980659e 100644
--- a/src/main/java/com/seaofnodes/simple/print/SimpleGraphObserver.java
+++ b/src/main/java/com/seaofnodes/simple/print/SimpleGraphObserver.java
@@ -7,7 +7,7 @@ import com.seaofnodes.simple.node.Node;
import java.util.ArrayList;
import java.io.IOException;
-/** Chapter 9's compilation context; capture and event bookkeeping are shared. */
+/** Chapter 10's compilation context; capture and event bookkeeping are shared. */
public class SimpleGraphObserver extends GraphCapture<Node> {
private Parser _parser;
private Node _ret;
@@ -25,6 +25,8 @@ public class SimpleGraphObserver extends GraphCapture<Node> {
_phase = "Iter";
com.seaofnodes.simple.IterPeeps.iterate(_parser.STOP);
phase(_phase);
+ _phase = "TypeCheck";
+ _parser.STOP.typeCheck();
}
@Override protected String phase() { return _phase; }
@Override protected int pos() { return "Parse".equals(_phase) ? _parser.pos() : -1; }
diff --git a/src/main/java/com/seaofnodes/simple/type/Field.java b/src/main/java/com/seaofnodes/simple/type/Field.java
new file mode 100644
index 00000000..cdc58215
--- /dev/null
+++ b/src/main/java/com/seaofnodes/simple/type/Field.java
@@ -0,0 +1,59 @@
+package com.seaofnodes.simple.type;
+
+import com.seaofnodes.simple.Utils;
+import java.util.ArrayList;
+
+/**
+ * Represents a field in a struct. This is not a Type in the type system.
+ */
+public class Field extends Type {
+
+ // The pair {fieldName,type} uniquely identifies a field.
+
+ // Field name
+ public final String _fname;
+ // Type of the field
+ public final Type _type;
+
+ private Field(String fname, Type type ) {
+ super(TFLD);
+ _fname = fname;
+ _type = type;
+ }
+ public static Field make( String fname, Type type ) {
+ return new Field(fname,type).intern();
+ }
+
+ public static final Field TEST = make("test",TypeInteger.ZERO);
+ public static void gather(ArrayList<Type> ts) { ts.add(TEST); }
+
+ @Override Field xmeet( Type that ) {
+ Field fld = (Field)that; // Invariant
+ assert _fname.equals(fld._fname);
+ return make(_fname,_type.meet(fld._type));
+ }
+
+ @Override
+ public Field dual() { return make(_fname,_type.dual()); }
+
+ @Override
+ public Field glb() {
+ return make(_fname,_type.glb());
+ }
+
+ // Override in subclasses
+ int hash() { return _fname.hashCode() ^ _type.hashCode(); }
+
+ boolean eq(Type t) {
+ Field f = (Field)t;
+ return Utils.eq(_fname,f._fname) && _type==f._type;
+ }
+
+
+ @Override
+ public StringBuilder print( StringBuilder sb ) {
+ return _type.print(sb.append(_fname).append(":"));
+ }
+
+ @Override public String str() { return _fname; }
+}
diff --git a/src/main/java/com/seaofnodes/simple/type/Type.java b/src/main/java/com/seaofnodes/simple/type/Type.java
index daaa8af6..bd9cf458 100644
--- a/src/main/java/com/seaofnodes/simple/type/Type.java
+++ b/src/main/java/com/seaofnodes/simple/type/Type.java
@@ -2,6 +2,7 @@ package com.seaofnodes.simple.type;
import com.seaofnodes.simple.Utils;
+import java.util.ArrayList;
import java.util.HashMap;
/**
@@ -33,6 +34,10 @@ public class Type {
static final byte TSIMPLE = 4; // End of the Simple Types
static final byte TINT = 5; // All Integers; see TypeInteger
static final byte TTUPLE = 6; // Tuples; finite collections of unrelated Types, kept in parallel
+ static final byte TMEM = 7; // Whole-memory token
+ static final byte TMEMPTR = 8; // Memory pointer type
+ static final byte TSTRUCT = 9; // Structs; tuples with named fields
+ static final byte TFLD =10; // Fields into struct
public final byte _type;
@@ -44,6 +49,21 @@ public class Type {
public static final Type TOP = new Type( TTOP ).intern(); // ANY
public static final Type CONTROL = new Type( TCTRL ).intern(); // Ctrl
public static final Type XCONTROL = new Type( TXCTRL ).intern(); // ~Ctrl
+ public static Type[] gather() {
+ ArrayList<Type> ts = new ArrayList<>();
+ ts.add(BOTTOM);
+ ts.add(CONTROL);
+ Field.gather(ts);
+ TypeInteger.gather(ts);
+ TypeMem.gather(ts);
+ TypeMemPtr.gather(ts);
+ TypeStruct.gather(ts);
+ TypeTuple.gather(ts);
+ int sz = ts.size();
+ for( int i = 0; i < sz; i++ )
+ ts.add(ts.get(i).dual());
+ return ts.toArray(new Type[ts.size()]);
+ }
// Is high or on the lattice centerline.
public boolean isHighOrConst() { return _type==TTOP || _type==TXCTRL; }
@@ -52,12 +72,26 @@ public class Type {
// Excludes both high and low values
public boolean isConstant() { return false; }
- public StringBuilder print(StringBuilder sb) {return is_simple() ? sb.append(STRS[_type]) : sb;}
+ /**
+ * Display Type name in a format that's good for IR printer
+ */
+ public StringBuilder typeName( StringBuilder sb) { return print(sb); }
+
+ public Type makeInit() { return null; }
// ----------------------------------------------------------
+ // Notes on Type interning.
+ // At the moment it is not easy to reset the interned types
+ // because we hold static references to several types and these are scattered
+ // around. This means the INTERN cache will retain all types from
+ // every run of the Parser. For this to work correctly types must be
+ // rigorous about defining when they are the same. Also types need to be
+ // immutable once defined.
+ // The rationale for interning is performance.
+
// Factory method which interns "this"
- protected <T extends Type> T intern() {
+ public <T extends Type> T intern() {
T nnn = (T)INTERN.get(this);
if( nnn==null )
INTERN.put(nnn=(T)this,this);
@@ -95,13 +129,13 @@ public class Type {
// Reverse; xmeet 2nd arg is never "is_simple" and never equal to "this".
if( is_simple() ) return this.xmeet(t );
if( t.is_simple() ) return t .xmeet(this);
- return xmeet(t); // Mixing 2 unrelated types
+ return Type.BOTTOM; // Mixing 2 unrelated types
}
// Compute meet right now. Overridden in subclasses.
// Handle cases where 'this.is_simple()' and unequal to 't'.
// Subclassed xmeet calls can assert that '!t.is_simple()'.
- protected Type xmeet(Type t) {
+ Type xmeet(Type t) {
assert is_simple(); // Should be overridden in subclass
// ANY meet anything is thing; thing meet ALL is ALL
if( _type==TBOT || t._type==TTOP ) return this;
@@ -112,17 +146,6 @@ public class Type {
return _type==TCTRL || t._type==TCTRL ? CONTROL : XCONTROL;
}
- // True if this "isa" t; e.g. 17 isa TypeInteger.BOT
- public boolean isa( Type t ) { return meet(t)==t; }
-
- // ----------------------------------------------------------
- // Our lattice is defined with a MEET and a DUAL.
- // JOIN is dual of meet of both duals.
- public final Type join(Type t) {
- if( this==t ) return this;
- return dual().meet(t.dual()).dual();
- }
-
public Type dual() {
return switch( _type ) {
case TBOT -> TOP;
@@ -134,8 +157,31 @@ public class Type {
}
// ----------------------------------------------------------
+ // Our lattice is defined with a MEET and a DUAL.
+ // JOIN is dual of meet of both duals.
+ public final Type join(Type t) {
+ if( this==t ) return this;
+ return dual().meet(t.dual()).dual();
+ }
+
+ // True if this "isa" t; e.g. 17 isa TypeInteger.BOT
+ public boolean isa( Type t ) { return meet(t)==t; }
+
+ /**
+ * Compute greatest lower bound in the lattice
+ */
+ public Type glb() { return _type==TCTRL ? XCONTROL : BOTTOM; }
+
+ // ----------------------------------------------------------
+ // Useful in the debugger, which calls toString everywhere.
+ // This is a more verbose dev-friendly print.
@Override
public final String toString() {
return print(new StringBuilder()).toString();
}
+
+ public StringBuilder print(StringBuilder sb) { return is_simple() ? sb.append(STRS[_type]) : sb;}
+
+ // This is used by error messages, and is a shorted print.
+ public String str() { return STRS[_type]; }
}
diff --git a/src/main/java/com/seaofnodes/simple/type/TypeInteger.java b/src/main/java/com/seaofnodes/simple/type/TypeInteger.java
index ab9dbcff..8c77672b 100644
--- a/src/main/java/com/seaofnodes/simple/type/TypeInteger.java
+++ b/src/main/java/com/seaofnodes/simple/type/TypeInteger.java
@@ -1,5 +1,7 @@
package com.seaofnodes.simple.type;
+import java.util.ArrayList;
+
/**
* Integer Type
*/
@@ -28,6 +30,10 @@ public class TypeInteger extends Type {
public static TypeInteger constant(long con) { return make(true, con); }
+ public static void gather(ArrayList<Type> ts) { ts.add(ZERO); ts.add(BOT); }
+
+ // FIXME this display format is problematic
+ // In visualizer '#' gets prepended if its a constant
@Override
public StringBuilder print(StringBuilder sb) {
if( this==TOP ) return sb.append("IntTop");
@@ -35,6 +41,22 @@ public class TypeInteger extends Type {
return sb.append(_con);
}
+ @Override public String str() {
+ if( this==TOP ) return "~int";
+ if( this==BOT ) return "int";
+ return ""+_con;
+ }
+
+ /**
+ * Display Type name in a format that's good for IR printer
+ */
+ @Override
+ public StringBuilder typeName(StringBuilder sb) {
+ if( this==TOP ) return sb.append("IntTop");
+ if( this==BOT ) return sb.append("IntBot");
+ return sb.append("Int");
+ }
+
@Override
public boolean isHighOrConst() { return _is_con || _con==0; }
@@ -65,6 +87,11 @@ public class TypeInteger extends Type {
}
@Override
+ public Type glb() { return BOT; }
+
+ @Override public TypeInteger makeInit() { return ZERO; }
+
+ @Override
int hash() { return (int)(_con ^ (_is_con ? 0 : 0x4000)); }
@Override
public boolean eq( Type t ) {
diff --git a/src/main/java/com/seaofnodes/simple/type/TypeMem.java b/src/main/java/com/seaofnodes/simple/type/TypeMem.java
new file mode 100644
index 00000000..d921bac3
--- /dev/null
+++ b/src/main/java/com/seaofnodes/simple/type/TypeMem.java
@@ -0,0 +1,20 @@
+package com.seaofnodes.simple.type;
+
+import java.util.ArrayList;
+
+/** A token for all memory; field values are not tracked in its type. */
+public class TypeMem extends Type {
+ private final boolean _high;
+ private TypeMem(boolean high) { super(TMEM); _high = high; }
+ public static final TypeMem TOP = new TypeMem(true ).intern();
+ public static final TypeMem BOT = new TypeMem(false).intern();
+
+ public static void gather(ArrayList<Type> ts) { ts.add(BOT); }
+ @Override TypeMem xmeet(Type t) { return BOT; }
+ @Override public Type dual() { return _high ? BOT : TOP; }
+ @Override public Type glb() { return BOT; }
+ @Override int hash() { return _high ? 1 : 2; }
+ @Override boolean eq(Type t) { return _high==((TypeMem)t)._high; }
+ @Override public StringBuilder print(StringBuilder sb) { return sb.append(_high ? "MemTop" : "MemBot"); }
+ @Override public String str() { return print(new StringBuilder()).toString(); }
+}
diff --git a/src/main/java/com/seaofnodes/simple/type/TypeMemPtr.java b/src/main/java/com/seaofnodes/simple/type/TypeMemPtr.java
new file mode 100644
index 00000000..6c874a93
--- /dev/null
+++ b/src/main/java/com/seaofnodes/simple/type/TypeMemPtr.java
@@ -0,0 +1,82 @@
+package com.seaofnodes.simple.type;
+
+import java.util.ArrayList;
+
+/**
+ * Represents a Pointer to memory.
+ *
+ * Null is generic pointer to non-existent memory.
+ * *void is a non-Null pointer to all possible structs.
+ * Pointers can be to specific struct types, or a union with Null.
+ * The distinguished *$BOT ptr represents union of *void and Null.
+ * The distinguished *$TOP ptr represents the dual of *$BOT.
+ */
+public class TypeMemPtr extends Type {
+ // A TypeMemPtr is pair (obj,nil)
+ // where obj is one of
+ // (null,TypeStruct).
+ // where nil is one of
+ // (true,false) meaning an explicit null is allowed or not
+
+ public final TypeStruct _obj; // null, a TypeStruct, or sentinel TypeStruct.MANY
+ public final boolean _nil;
+
+ private TypeMemPtr(TypeStruct obj, boolean nil) {
+ super(TMEMPTR);
+ _obj = obj;
+ _nil = nil;
+ }
+ public static TypeMemPtr make(TypeStruct obj, boolean nil) { return new TypeMemPtr(obj, nil).intern(); }
+ public static TypeMemPtr make(TypeStruct obj) { return TypeMemPtr.make(obj, false); }
+
+ public static final TypeMemPtr BOT = make(TypeStruct.BOT,true);
+ public static final TypeMemPtr TOP = BOT.dual();
+ public static final TypeMemPtr NULLPTR = make(TypeStruct.TOP,true);
+ public static final TypeMemPtr VOIDPTR = NULLPTR.dual(); // A bottom mix of not-null ptrs, like C's void* but not null
+ public static final TypeMemPtr TEST= make(TypeStruct.TEST,false);
+ public static void gather(ArrayList<Type> ts) { ts.add(NULLPTR); ts.add(BOT); ts.add(TEST); }
+
+ @Override
+ Type xmeet(Type t) {
+ TypeMemPtr that = (TypeMemPtr) t;
+ return TypeMemPtr.make((TypeStruct)_obj.meet(that._obj), _nil | that._nil);
+ }
+
+ @Override
+ public TypeMemPtr dual() { return TypeMemPtr.make(_obj==null ? null : _obj.dual(), !_nil); }
+
+ @Override
+ public Type glb() {
+ if( _obj==null ) return BOT;
+ return make(_obj.glb(),true);
+ }
+ @Override public TypeMemPtr makeInit() { return NULLPTR; }
+
+ @Override
+ int hash() { return (_obj==null ? 0xDEADBEEF : _obj.hashCode()) ^ (_nil ? 1024 : 0); }
+
+ @Override
+ boolean eq(Type t) {
+ TypeMemPtr ptr = (TypeMemPtr)t; // Invariant
+ return _obj == ptr._obj && _nil == ptr._nil;
+ }
+
+ // [void,name,MANY]*[,?]
+ @Override
+ public StringBuilder print(StringBuilder sb) {
+ if( this==BOT ) return sb.append("PtrBot");
+ if( this==TOP ) return sb.append("PtrTop");
+ if( this== NULLPTR) return sb.append("null");
+ if( this== VOIDPTR) return sb.append("*void");
+ return _obj.print(sb.append("*")).append(_nil ? "?" : "");
+ }
+
+ @Override public String str() {
+ if( this==BOT ) return "PtrBot";
+ if( this==TOP ) return "PtrTop";
+ if( this== NULLPTR) return "null";
+ if( this== VOIDPTR) return "*void";
+ return "*"+_obj.str()+(_nil ? "?" : "");
+ }
+
+}
diff --git a/src/main/java/com/seaofnodes/simple/type/TypeStruct.java b/src/main/java/com/seaofnodes/simple/type/TypeStruct.java
new file mode 100644
index 00000000..44741def
--- /dev/null
+++ b/src/main/java/com/seaofnodes/simple/type/TypeStruct.java
@@ -0,0 +1,127 @@
+package com.seaofnodes.simple.type;
+
+import com.seaofnodes.simple.Utils;
+import java.util.ArrayList;
+
+/**
+ * Represents a struct type.
+ */
+public class TypeStruct extends Type {
+
+ // For now in terms of the lattice
+ // a struct type just stays as is
+
+ public final String _name;
+ public final Field[] _fields;
+
+ private TypeStruct(String name, Field[] fields) {
+ super(Type.TSTRUCT);
+ _name = name;
+ _fields = fields;
+ }
+
+ public static TypeStruct make(String name, Field[] fields) { return new TypeStruct(name, fields).intern(); }
+ public static TypeStruct make(String name, ArrayList<Field> fields) { return make(name,fields.toArray(new Field[fields.size()])); }
+
+ public static final TypeStruct TOP = make("$TOP",new Field [0]);
+ public static final TypeStruct BOT = make("$BOT",new Field [0]);
+ public static final TypeStruct TEST = make("test",new Field[]{Field.TEST});
+ public static void gather(ArrayList<Type> ts) { ts.add(TEST); ts.add(BOT); }
+
+ public int find(String fname) {
+ for( int i=0; i<_fields.length; i++ )
+ if( _fields[i]._fname.equals(fname) )
+ return i;
+ return -1;
+ }
+
+ @Override
+ Type xmeet(Type t) {
+ TypeStruct that = (TypeStruct) t;
+ if( this==TOP ) return that;
+ if( that==TOP ) return this;
+ if( this==BOT ) return BOT;
+ if( that==BOT ) return BOT;
+
+ // Within the same compilation unit, struct names are unique. If the
+ // names differ, its different structs. Across many compilation units,
+ // structs with the same name but different field layouts can be
+ // interned... which begs the question:
+ // "What is the meet of structs from two different compilation units?"
+ // And the answer is: "don't ask".
+ if( !_name.equals(that._name) )
+ return BOT; // It's a struct; that's about all we know
+ // Now all fields should be the same, so just do field meets
+ assert _fields.length == that._fields.length;
+ Field[] flds = new Field[_fields.length];
+ for( int i=0; i<_fields.length; i++ )
+ flds[i] = (Field)_fields[i].meet(that._fields[i]);
+ return make(_name,flds);
+ }
+
+ @Override
+ public TypeStruct dual() {
+ if( this==TOP ) return BOT;
+ if( this==BOT ) return TOP;
+ Field[] flds = new Field[_fields.length];
+ for( int i=0; i<_fields.length; i++ )
+ flds[i] = _fields[i].dual();
+ return make(_name,flds);
+ }
+
+ // Keeps the same struct, but lower-bounds all fields.
+ @Override
+ public TypeStruct glb() {
+ if( _glb() ) return this;
+ // Need to glb each field
+ Field[] flds = new Field[_fields.length];
+ for( int i=0; i<_fields.length; i++ )
+ flds[i] = _fields[i].glb();
+ return make(_name,flds);
+ }
+ private boolean _glb() {
+ for( Field f : _fields )
+ if( f.glb() != f )
+ return false;
+ return true;
+ }
+
+ @Override
+ boolean eq(Type t) {
+ TypeStruct ts = (TypeStruct)t; // Invariant
+ if( !_name.equals(ts._name) )
+ return false;
+ if( _fields.length!=ts._fields.length )
+ return false;
+ for( int i = 0; i < _fields.length; i++ )
+ if( _fields[i] != ts._fields[i] )
+ return false;
+ return true;
+ }
+
+ @Override
+ int hash() {
+ long hash = _name.hashCode();
+ for( Field f : _fields ) hash = Utils.rot(hash,13) ^ f.hashCode();
+ return Utils.fold(hash);
+ }
+
+ @Override
+ public StringBuilder print(StringBuilder sb) {
+ if( this==BOT ) return sb.append("StructBot");
+ if( this==TOP ) return sb.append("StructTop");
+ sb.append(_name).append(" {\n");
+ for( Field f : _fields ) {
+ sb.append(" ").append(f._fname).append(":");
+ f._type.print(sb);
+ sb.append(";\n");
+ }
+ return sb.append("}");
+ }
+
+ @Override public String str() {
+ if( this==BOT ) return "StructBot";
+ if( this==TOP ) return "StructTop";
+ return _name;
+ }
+}
diff --git a/src/main/java/com/seaofnodes/simple/type/TypeTuple.java b/src/main/java/com/seaofnodes/simple/type/TypeTuple.java
index a2a6a095..0aa019a7 100644
--- a/src/main/java/com/seaofnodes/simple/type/TypeTuple.java
+++ b/src/main/java/com/seaofnodes/simple/type/TypeTuple.java
@@ -1,5 +1,7 @@
package com.seaofnodes.simple.type;
+import java.util.ArrayList;
+
public class TypeTuple extends Type {
public final Type[] _types;
@@ -7,8 +9,11 @@ public class TypeTuple extends Type {
private TypeTuple(Type[] types) { super(TTUPLE); _types = types; }
public static TypeTuple make(Type... types) { return new TypeTuple(types).intern(); }
+ private static TypeTuple TEST = make(TypeInteger.BOT,TypeMemPtr.TEST);
+ public static void gather(ArrayList<Type> ts) { ts.add(TEST); }
+
@Override
- public Type xmeet(Type other) {
+ Type xmeet(Type other) {
TypeTuple tt = (TypeTuple)other; // contract from xmeet
assert _types.length == tt._types.length;
Type[] ts = new Type[_types.length];
@@ -25,6 +30,14 @@ public class TypeTuple extends Type {
}
@Override
+ public Type glb() {
+ Type[] ts = new Type[_types.length];
+ for( int i=0; i<_types.length; i++ )
+ ts[i] = _types[i].glb();
+ return make(ts);
+ }
+
+ @Override
public StringBuilder print(StringBuilder sb) {
sb.append("[");
for( Type t : _types )
@@ -34,6 +47,21 @@ public class TypeTuple extends Type {
return sb;
}
+ @Override public String str() { return print(new StringBuilder()).toString(); }
+
+ /**
+ * Display Type name in a format that's good for IR printer
+ */
+ @Override
+ public StringBuilder typeName(StringBuilder sb) {
+ sb.append("[");
+ for( Type t : _types )
+ t.typeName(sb).append(",");
+ sb.setLength(sb.length()-1);
+ sb.append("]");
+ return sb;
+ }
+
public static final TypeTuple IF_BOTH = make(new Type[]{Type. CONTROL,Type. CONTROL});
public static final TypeTuple IF_NEITHER = make(new Type[]{Type.XCONTROL,Type.XCONTROL});
public static final TypeTuple IF_TRUE = make(new Type[]{Type. CONTROL,Type.XCONTROL});
diff --git a/src/test/java/com/seaofnodes/simple/Chapter01Test.java b/src/test/java/com/seaofnodes/simple/Chapter01Test.java
index 13b42f96..89882b2f 100644
--- a/src/test/java/com/seaofnodes/simple/Chapter01Test.java
+++ b/src/test/java/com/seaofnodes/simple/Chapter01Test.java
@@ -41,7 +41,7 @@ public class Chapter01Test {
new Parser("ret").parse();
fail();
} catch( RuntimeException e ) {
- assertEquals("Syntax error, expected =: ",e.getMessage());
+ assertEquals("Undefined name 'ret'",e.getMessage());
}
}
@@ -83,7 +83,7 @@ public class Chapter01Test {
new Parser("return100").parse();
fail();
} catch( RuntimeException e ) {
- assertEquals("Syntax error, expected =: ",e.getMessage());
+ assertEquals("Undefined name 'return100'",e.getMessage());
}
}
diff --git a/src/test/java/com/seaofnodes/simple/Chapter03Test.java b/src/test/java/com/seaofnodes/simple/Chapter03Test.java
index c3cd43c3..609dff76 100644
--- a/src/test/java/com/seaofnodes/simple/Chapter03Test.java
+++ b/src/test/java/com/seaofnodes/simple/Chapter03Test.java
@@ -31,7 +31,7 @@ public class Chapter03Test {
@Test
public void testVarDist() {
- Parser parser = new Parser("int x0=1; int y0=2; int x1=3; int y1=4; return (x0-x1)*(x0-x1) + (y0-y1)*(y0-y1);");
+ Parser parser = new Parser("int x0=1; int y0=2; int x1=3; int y1=4; return (x0-x1)*(x0-x1) + (y0-y1)*(y0-y1); ");
StopNode ret = parser.parse();
assertEquals("return 8;", ret.print());
}
diff --git a/src/test/java/com/seaofnodes/simple/Chapter04Test.java b/src/test/java/com/seaofnodes/simple/Chapter04Test.java
index f1603cc4..edc62f50 100644
--- a/src/test/java/com/seaofnodes/simple/Chapter04Test.java
+++ b/src/test/java/com/seaofnodes/simple/Chapter04Test.java
@@ -85,6 +85,9 @@ public class Chapter04Test {
ReturnNode ret = stop.ret();
assertTrue(ret.in(0) instanceof ProjNode);
assertTrue(ret.in(1) instanceof ProjNode);
+ assertEquals(1, ((ProjNode)ret.in(1))._idx);
+ assertTrue(ret.in(2) instanceof ProjNode);
+ assertEquals(2, ((ProjNode)ret.in(2))._idx);
}
@Test
diff --git a/src/test/java/com/seaofnodes/simple/Chapter05Test.java b/src/test/java/com/seaofnodes/simple/Chapter05Test.java
index 2c869033..cf7bd6cf 100644
--- a/src/test/java/com/seaofnodes/simple/Chapter05Test.java
+++ b/src/test/java/com/seaofnodes/simple/Chapter05Test.java
@@ -22,7 +22,7 @@ else {
return a;""");
StopNode ret = parser.parse().iterate();
- assertEquals("return Phi(Region17,(arg+2),(arg-3));", ret.toString());
+ assertEquals("return Phi(Region19,(arg+2),(arg-3));", ret.toString());
}
@Test
@@ -37,7 +37,7 @@ if (arg == 1) {
}
return c;""", TypeInteger.BOT);
StopNode ret = parser.parse().iterate();
- assertEquals("return Phi(Region16,4,3);", ret.toString());
+ assertEquals("return Phi(Region17,4,3);", ret.toString());
}
@Test
@@ -65,7 +65,7 @@ else
b=a+1;
return a+b;""");
StopNode ret = parser.parse().iterate();
- assertEquals("return ((arg*2)+Phi(Region20,2,3));", ret.toString());
+ assertEquals("return ((arg*2)+Phi(Region22,2,3));", ret.toString());
}
@Test
@@ -80,7 +80,7 @@ else
a=b+1;
return a+b;""");
StopNode ret = parser.parse().iterate();
- assertEquals("return ((Phi(Region31,(arg*2),arg)+arg)+Phi(Region,4,5));", ret.toString());
+ assertEquals("return ((Phi(Region33,(arg*2),arg)+arg)+Phi(Region,4,5));", ret.toString());
}
@Test
@@ -100,7 +100,7 @@ else
return a;
""", TypeInteger.BOT);
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Region33,Phi(Region21,2,3),Phi(Region31,4,5));", stop.toString());
+ assertEquals("return Phi(Region37,Phi(Region23,2,3),Phi(Region35,4,5));", stop.toString());
}
@Test
@@ -116,7 +116,7 @@ if( arg==0 )
return arg+a+b;
""", TypeInteger.BOT);
StopNode stop = parser.parse();
- assertEquals("return ((arg+Phi(Region13,1,0))+Phi(Region22,2,0));", stop.toString());
+ assertEquals("return ((arg+Phi(Region14,1,0))+Phi(Region29,2,0));", stop.toString());
}
@Test
@@ -130,7 +130,7 @@ if( arg==1 )
}
return a;""");
StopNode ret = parser.parse().iterate();
- assertEquals("return (arg==Phi(Region16,3,2));", ret.toString());
+ assertEquals("return (arg==Phi(Region17,3,2));", ret.toString());
}
@Test
@@ -221,7 +221,7 @@ return a;
new Parser("int a=1; ififif(arg)inta=2;return a;").parse();
fail();
} catch( RuntimeException e ) {
- assertEquals("Syntax error, expected =: (",e.getMessage());
+ assertEquals("Undefined name 'ififif'",e.getMessage());
}
}
diff --git a/src/test/java/com/seaofnodes/simple/Chapter06Test.java b/src/test/java/com/seaofnodes/simple/Chapter06Test.java
index 054e96e8..920e26e3 100644
--- a/src/test/java/com/seaofnodes/simple/Chapter06Test.java
+++ b/src/test/java/com/seaofnodes/simple/Chapter06Test.java
@@ -30,7 +30,7 @@ if (arg)
return (arg < a) < 3;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return ((arg<Phi(Region12,2,1))<3);", stop.toString());
+ assertEquals("return ((arg<Phi(Region13,2,1))<3);", stop.toString());
}
@Test
@@ -65,7 +65,7 @@ else
b=5;
return b;""", TypeInteger.BOT);
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Region32,42,5);", stop.toString());
+ assertEquals("return Phi(Region38,42,5);", stop.toString());
}
@Test
@@ -84,7 +84,7 @@ else
b=5;
return b;""", TypeInteger.BOT);
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Region29,2,5);", stop.toString());
+ assertEquals("return Phi(Region31,2,5);", stop.toString());
}
@Test
@@ -144,7 +144,7 @@ else
return a;
""", TypeInteger.BOT);
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Region37,3,Phi(Region35,4,5));", stop.toString());
+ assertEquals("return Phi(Region42,3,Phi(Region40,4,5));", stop.toString());
}
@Test
@@ -200,7 +200,7 @@ if( arg ) {
return a+b;
""");
StopNode ret = parser.parse().iterate();
- assertEquals("return Phi(Region24,4,1);", ret.toString());
+ assertEquals("return Phi(Region25,4,1);", ret.toString());
}
@@ -251,7 +251,7 @@ if( arg ) {
return a+b+c;
""");
StopNode ret = parser.parse().iterate();
- assertEquals("return (Phi(Region35,Phi(Region22,2,3),0)+Phi(Region,3,1));", ret.toString());
+ assertEquals("return (Phi(Region37,Phi(Region24,2,3),0)+Phi(Region,3,1));", ret.toString());
}
diff --git a/src/test/java/com/seaofnodes/simple/Chapter07Test.java b/src/test/java/com/seaofnodes/simple/Chapter07Test.java
index 109ee830..ff0ca599 100644
--- a/src/test/java/com/seaofnodes/simple/Chapter07Test.java
+++ b/src/test/java/com/seaofnodes/simple/Chapter07Test.java
@@ -18,7 +18,7 @@ public class Chapter07Test {
return arg;
""");
StopNode stop = parser.parse();
- assertEquals("return Phi(Loop6,arg,(Phi_arg+1));", stop.toString());
+ assertEquals("return Phi(Loop7,arg,(Phi_arg+1));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -35,7 +35,7 @@ if(arg){}else{
return a;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Region22,1,Phi(Loop11,1,(Phi_a+1)));", stop.toString());
+ assertEquals("return Phi(Region25,1,Phi(Loop14,1,(Phi_a+1)));", stop.toString());
}
@Test
@@ -55,7 +55,7 @@ while(i < arg) {
return sum;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop8,0,Phi(Loop20,Phi_sum,(Phi_sum+Phi(Loop,0,(Phi_j+1)))));", stop.toString());
+ assertEquals("return Phi(Loop9,0,Phi(Loop21,Phi_sum,(Phi_sum+Phi(Loop,0,(Phi_j+1)))));", stop.toString());
}
@Test
@@ -71,7 +71,7 @@ while(a < 10) {
return b;
""");
StopNode stop = parser.parse();
- assertEquals("return Phi(Loop8,2,Phi(Region26,Phi_b,4));", stop.toString());
+ assertEquals("return Phi(Loop9,2,Phi(Region28,Phi_b,4));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -90,7 +90,7 @@ while(a < 10) {
return b;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop8,2,(Phi(Region26,Phi_b,4)+1));", stop.toString());
+ assertEquals("return Phi(Loop9,2,(Phi(Region28,Phi_b,4)+1));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -107,7 +107,7 @@ while(a < 10) {
return a;
""");
StopNode stop = parser.parse();
- assertEquals("return Phi(Loop7,1,(Phi_a+3));", stop.toString());
+ assertEquals("return Phi(Loop8,1,(Phi_a+3));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -123,7 +123,7 @@ while(a < 10) {
return a;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop7,1,(Phi_a+3));", stop.toString());
+ assertEquals("return Phi(Loop8,1,(Phi_a+3));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -136,7 +136,7 @@ while(arg) a = 2;
return a;
""");
StopNode stop = parser.parse();
- assertEquals("return Phi(Loop7,1,2);", stop.toString());
+ assertEquals("return Phi(Loop8,1,2);", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -149,7 +149,7 @@ while(arg) a = 2;
return a;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop7,1,2);", stop.toString());
+ assertEquals("return Phi(Loop8,1,2);", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -165,7 +165,7 @@ while(a < 10) {
return a;
""");
StopNode stop = parser.parse();
- assertEquals("return Phi(Loop7,1,(Phi_a+3));", stop.toString());
+ assertEquals("return Phi(Loop8,1,(Phi_a+3));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -181,7 +181,7 @@ while(a < 10) {
return a;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop7,1,(Phi_a+3));", stop.toString());
+ assertEquals("return Phi(Loop8,1,(Phi_a+3));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -198,7 +198,7 @@ while(a < 10) {
return a;
""");
StopNode stop = parser.parse();
- assertEquals("return Phi(Loop8,1,(Phi_a+3));", stop.toString());
+ assertEquals("return Phi(Loop9,1,(Phi_a+3));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -215,7 +215,7 @@ while(a < 10) {
return a;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop8,1,(Phi_a+3));", stop.toString());
+ assertEquals("return Phi(Loop9,1,(Phi_a+3));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
diff --git a/src/test/java/com/seaofnodes/simple/Chapter08Test.java b/src/test/java/com/seaofnodes/simple/Chapter08Test.java
index cea6dd0f..4fa08bd9 100644
--- a/src/test/java/com/seaofnodes/simple/Chapter08Test.java
+++ b/src/test/java/com/seaofnodes/simple/Chapter08Test.java
@@ -1,5 +1,6 @@
package com.seaofnodes.simple;
+import com.seaofnodes.simple.evaluator.Evaluator;
import com.seaofnodes.simple.node.*;
import com.seaofnodes.simple.type.TypeInteger;
import org.junit.Assert;
@@ -23,10 +24,10 @@ while(arg < 10) {
return arg;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Region36,Phi(Region25,Phi(Loop6,arg,(Phi_arg+1)),Add),Add);", stop.toString());
+ assertEquals("return Phi(Region37,Phi(Region26,Phi(Loop7,arg,(Phi_arg+1)),Add),Add);", stop.toString());
assertTrue(stop.ret().ctrl() instanceof RegionNode);
- Assert.assertEquals(5, GraphEvaluator.evaluate(stop, 1));
- Assert.assertEquals(10, GraphEvaluator.evaluate(stop, 6));
+ Assert.assertEquals(5L, Evaluator.evaluate(stop, 1));
+ Assert.assertEquals(10L, Evaluator.evaluate(stop, 6));
}
@@ -46,7 +47,7 @@ while(arg < 10) {
return a;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop7,1,Phi(Region42,Phi_a,(Phi_a+1)));", stop.toString());
+ assertEquals("return Phi(Loop8,1,Phi(Region43,Phi_a,(Phi_a+1)));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -65,7 +66,7 @@ while(arg < 10) {
return arg;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Region34,Phi(Loop6,arg,(Phi_arg+1)),Add);", stop.toString());
+ assertEquals("return Phi(Region35,Phi(Loop7,arg,(Phi_arg+1)),Add);", stop.toString());
assertTrue(stop.ret().ctrl() instanceof RegionNode);
}
@@ -81,7 +82,7 @@ while(arg < 10) {
return arg;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Region25,Phi(Loop6,arg,(Phi_arg+1)),Add);", stop.toString());
+ assertEquals("return Phi(Region26,Phi(Loop7,arg,(Phi_arg+1)),Add);", stop.toString());
assertTrue(stop.ret().ctrl() instanceof RegionNode);
}
@@ -100,7 +101,7 @@ while(arg < 10) {
return arg;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop6,arg,(Phi_arg+1));", stop.toString());
+ assertEquals("return Phi(Loop7,arg,(Phi_arg+1));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -117,7 +118,7 @@ while(arg < 10) {
return arg;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop6,arg,(Phi_arg+1));", stop.toString());
+ assertEquals("return Phi(Loop7,arg,(Phi_arg+1));", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode);
}
@@ -185,7 +186,7 @@ while(arg < 10) {
return a;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Region28,Phi(Loop7,1,(Phi_a+1)),Add);", stop.toString());
+ assertEquals("return Phi(Region29,Phi(Loop8,1,(Phi_a+1)),Add);", stop.toString());
assertTrue(stop.ret().ctrl() instanceof RegionNode);
}
@@ -201,7 +202,7 @@ while(1) {
return a;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return (Phi(Loop7,1,Add)+1);", stop.toString());
+ assertEquals("return (Phi(Loop8,1,Add)+1);", stop.toString());
assertTrue(stop.ret().ctrl() instanceof ProjNode prj && prj._idx==1 );
}
diff --git a/src/test/java/com/seaofnodes/simple/Chapter09Test.java b/src/test/java/com/seaofnodes/simple/Chapter09Test.java
index 8103b903..1b1920e8 100644
--- a/src/test/java/com/seaofnodes/simple/Chapter09Test.java
+++ b/src/test/java/com/seaofnodes/simple/Chapter09Test.java
@@ -1,5 +1,6 @@
package com.seaofnodes.simple;
+import com.seaofnodes.simple.evaluator.Evaluator;
import com.seaofnodes.simple.node.*;
import com.seaofnodes.simple.type.Type;
import com.seaofnodes.simple.type.TypeInteger;
@@ -43,8 +44,8 @@ return x;
""");
StopNode stop = parser.parse();
assertEquals("Stop[ return (arg*2); return (Mul+1); ]", stop.toString());
- Assert.assertEquals(2, GraphEvaluator.evaluate(stop, 1));
- Assert.assertEquals(23, GraphEvaluator.evaluate(stop, 11));
+ Assert.assertEquals(2L, Evaluator.evaluate(stop, 1));
+ Assert.assertEquals(23L, Evaluator.evaluate(stop, 11));
}
@Test
@@ -55,7 +56,7 @@ return arg*arg-arg*arg;
""");
StopNode stop = parser.parse();
assertEquals("return 0;", stop.toString());
- Assert.assertEquals(0, GraphEvaluator.evaluate(stop, 1));
+ Assert.assertEquals(0L, Evaluator.evaluate(stop, 1));
}
@Test
@@ -69,8 +70,8 @@ while (arg < 10) {
return arg;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop7,arg,(Phi_arg+2));", stop.toString());
- Assert.assertEquals(11, GraphEvaluator.evaluate(stop, 1));
+ assertEquals("return Phi(Loop8,arg,(Phi_arg+2));", stop.toString());
+ Assert.assertEquals(11L, Evaluator.evaluate(stop, 1));
}
@Test
@@ -86,8 +87,8 @@ while (arg < 10) {
return arg;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop8,arg,(Phi_arg+4));", stop.toString());
- Assert.assertEquals(13, GraphEvaluator.evaluate(stop, 1));
+ assertEquals("return Phi(Loop9,arg,(Phi_arg+4));", stop.toString());
+ Assert.assertEquals(13L, Evaluator.evaluate(stop, 1));
}
@Test
@@ -115,7 +116,7 @@ while (arg) {
return arg;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop14,arg,(Phi_arg+1));", stop.toString());
+ assertEquals("return Phi(Loop15,arg,(Phi_arg+1));", stop.toString());
}
@Test
@@ -137,26 +138,6 @@ while(v1+arg) {
}
@Test
- public void testSccp() {
- Parser parser = new Parser(
-"""
-int x = 1;
-int cnt = 5;
-while (cnt) {
- cnt = cnt - 1;
- if (x == 0) {
- x = x + 1;
- }
-}
-return x;
-"""
- );
- StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop8,1,Phi(Region26,(Phi_x+1),Phi_x));", stop.toString());
-
- }
-
- @Test
public void testWhile0() {
Parser parser = new Parser("while(0) continue; if(0) arg=0;");
StopNode stop = parser.parse().iterate();
@@ -205,7 +186,7 @@ while(arg) {
return a;
""");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop9,0,(-(Phi_a+3)));", stop.toString());
+ assertEquals("return Phi(Loop10,0,(-(Phi_a+3)));", stop.toString());
}
@Test
@@ -302,7 +283,7 @@ return v1+v0;
public void testFuzz8() {
Parser parser = new Parser("while(arg) arg = arg - 1; return arg;");
StopNode stop = parser.parse().iterate();
- assertEquals("return Phi(Loop6,arg,(Phi_arg-1));", stop.toString());
+ assertEquals("return Phi(Loop7,arg,(Phi_arg-1));", stop.toString());
}
@Test
diff --git a/src/test/java/com/seaofnodes/simple/Chapter10Test.java b/src/test/java/com/seaofnodes/simple/Chapter10Test.java
new file mode 100644
index 00000000..f39b1e78
--- /dev/null
+++ b/src/test/java/com/seaofnodes/simple/Chapter10Test.java
@@ -0,0 +1,581 @@
+package com.seaofnodes.simple;
+
+import com.seaofnodes.simple.node.Node;
+import com.seaofnodes.simple.node.StopNode;
+import com.seaofnodes.simple.type.*;
+import com.seaofnodes.simple.node.LoadNode;
+import com.seaofnodes.simple.node.StoreNode;
+import com.seaofnodes.simple.evaluator.Evaluator;
+import java.util.BitSet;
+import org.junit.Test;
+
+import java.util.Arrays;
+
+import static org.junit.Assert.assertEquals;
+import static org.junit.Assert.fail;
+
+public class Chapter10Test {
+ @Test public void testDeadReferenceReturn() {
+ for( String body : new String[] {
+ "return new S; return 0;",
+ "if(1) return new S; else return 0;"
+ } ) {
+ String src = "struct S { int x; }; " + body;
+ var stop = new Parser(src).parse().iterate();
+ org.junit.Assert.assertTrue(body,
+ stop.ret().expr()._type instanceof com.seaofnodes.simple.type.TypeMemPtr);
+ }
+ }
+
+
+
+ // Issue #246: null-check guards start in Chapter 10; arrays arrive in Chapter 15.
+ private static final String NULLABLE_POINT_SOURCE = """
+ struct Point { int x; };
+ Point point = new Point;
+ point.x = 42;
+ Point? p = null;
+ if (arg) p = point;
+ """;
+
+ @Test
+ public void testNullGuards() {
+ for( String body : new String[] {
+ "if (p != null) return p.x; return -1;",
+ "if (null != p) return p.x; return -1;",
+ "if (!!!!p) return p.x; return -1;",
+ "if (!!!p) return -1; else return p.x;",
+ "int b = !!p; if (b) return p.x + b - 1; return -1;"
+ } ) {
+ StopNode stop = new Parser(NULLABLE_POINT_SOURCE+body).parse().iterate();
+ assertEquals(body,-1L,com.seaofnodes.simple.evaluator.Evaluator.evaluate(stop,0));
+ assertEquals(body,42L,com.seaofnodes.simple.evaluator.Evaluator.evaluate(stop,1));
+ }
+ }
+
+ @Test
+ public void testNullGuardErrors() {
+ for( String body : new String[] {
+ "return p.x;",
+ "if (p == null) return p.x; return -1;",
+ "if (!!point) return p.x; return -1;",
+ "if (!!p) { int x = p.x; } return p.x;"
+ } ) {
+ try {
+ new Parser(NULLABLE_POINT_SOURCE+body).parse().iterate();
+ fail(body);
+ } catch( RuntimeException e ) {
+ // Known null is rejected during parsing in these chapters.
+ String expected = body.startsWith("if (p == null)")
+ ? "Accessing unknown field 'x' from 'null'" : "Might be null accessing 'x'";
+ assertEquals(body,expected,e.getMessage());
+ }
+ }
+ }
+
+ @Test
+ public void testFuzzer() {
+ Parser parser = new Parser(
+"""
+int a = arg/3;
+int b = arg*5;
+int x = arg*7;
+int y = arg/11;
+int p; int g; int h;
+if( (arg/13)==0 ) {
+ p = x + y;
+ g = x;
+ h = y;
+} else {
+ p = a + b;
+ g = a;
+ h = b;
+}
+int r = g+h;
+return p-r;
+""");
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return 0;", stop.toString());
+ }
+
+ @Test
+ public void testStruct() {
+ Parser parser = new Parser("""
+struct Bar {
+ int a;
+ int b;
+}
+struct Foo {
+ int x;
+}
+Foo? foo = null;
+Bar bar = new Bar;
+bar.a = 1;
+bar.a = 2;
+return bar.a;
+""");
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return 2;", stop.toString());
+ }
+
+ @Test
+ public void testExample() {
+ Parser parser = new Parser("""
+struct Vector2D { int x; int y; }
+Vector2D v = new Vector2D;
+v.x = 1;
+if (arg)
+ v.y = 2;
+else
+ v.y = 3;
+return v;
+""");
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return new Vector2D;", stop.toString());
+ }
+
+ @Test
+ public void testBug() {
+ Parser parser = new Parser("""
+struct s0 {
+ int v0;
+}
+s0? v1=null;
+int v3=v1.zAicm;
+""");
+ try { parser.parse(); fail(); }
+ catch( Exception e ) { assertEquals("Accessing unknown field 'zAicm' from 'null'",e.getMessage()); }
+ }
+
+ @Test
+ public void testBug2() {
+ Parser parser = new Parser("""
+struct s0 { int v0; }
+arg=0+new s0.0;
+""");
+ try { parser.parse(); fail(); }
+ catch( Exception e ) { assertEquals("Expected an identifier, found 'null'",e.getMessage()); }
+ }
+
+ @Test
+ public void testLoop() {
+ Parser parser = new Parser("""
+struct Bar { int a; }
+Bar bar = new Bar;
+while (arg) {
+ bar.a = bar.a + 2;
+ arg = arg + 1;
+}
+return bar.a;
+""");
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return Phi(Loop10,0,(Phi_$mem+2));", stop.toString());
+ }
+
+ @Test
+ public void testIf() {
+ Parser parser = new Parser("""
+struct Bar { int a; }
+Bar bar = new Bar;
+if (arg) bar = null;
+bar.a = 1;
+return bar.a;
+""");
+ try { parser.parse().iterate(); fail(); }
+ catch( Exception e ) { assertEquals("Type null is not of declared type *Bar",e.getMessage()); }
+ }
+
+ @Test
+ public void testIf2() {
+ Parser parser = new Parser("""
+struct Bar { int a; }
+Bar? bar = null;
+if (arg) bar = new Bar;
+bar.a = 1;
+return bar.a;
+""");
+ try { parser.parse().iterate(); fail(); }
+ catch( Exception e ) { assertEquals("Might be null accessing 'a'",e.getMessage()); }
+ }
+
+ @Test
+ public void testIf3() {
+ Parser parser = new Parser("""
+struct Bar { int a; }
+Bar bar = null;
+if (arg) bar = null;
+bar.a = 1;
+return bar.a;
+""");
+ try { parser.parse(); fail(); }
+ catch( Exception e ) { assertEquals("Type null is not of declared type *Bar", e.getMessage()); }
+ }
+
+ @Test
+ public void testIfOrNull() {
+ Parser parser = new Parser("""
+struct Bar { int a; }
+Bar? bar = new Bar;
+if (arg) bar = null;
+if( bar ) bar.a = 1;
+return bar;
+""");
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return Phi(Region15,null,new Bar);", stop.toString());
+ }
+
+ @Test
+ public void testIfOrNull2() {
+ Parser parser = new Parser(
+"""
+struct Bar { int a; }
+Bar? bar = new Bar;
+if (arg) bar = null;
+int rez = 3;
+if( !bar ) rez=4;
+else bar.a = 1;
+return rez;
+""");
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return Phi(Region32,4,3);", stop.toString());
+ }
+
+ @Test
+ public void testWhileWithNullInside() {
+ Parser parser = new Parser("""
+struct s0 {int v0;}
+s0? v0 = new s0;
+int ret = 0;
+while(arg) {
+ ret = v0.v0;
+ v0 = null;
+ arg = arg - 1;
+}
+return ret;
+""");
+ try { parser.parse().iterate(); fail(); }
+ catch( Exception e ) { assertEquals("Might be null accessing 'v0'", e.getMessage()); }
+ }
+
+ @Test
+ public void testRedeclareStruct() {
+ Parser parser = new Parser("""
+struct s0 {
+ int v0;
+}
+s0? v1=new s0;
+s0? v1;
+v1=new s0;
+""");
+ try { parser.parse(); fail(); }
+ catch( Exception e ) { assertEquals("Redefining name 'v1'", e.getMessage()); }
+ }
+
+ @Test
+ public void testIter() {
+ // Build and use an iterator
+ Parser parser = new Parser(
+"""
+struct Iter {
+ int x;
+ int len;
+}
+Iter i = new Iter;
+i.len = arg;
+int sum=0;
+while( i.x < i.len ) {
+ sum = sum + i.x;
+ i.x = i.x + 1;
+}
+return sum;
+""");
+ StopNode stop = parser.parse().iterate();
+ // The preceding len store keeps the initial x load on the bulk chain.
+ assertEquals("return Phi(Loop13,0,(Phi(Loop,.x,(Phi_x+1))+Phi_sum));", stop.toString());
+ assertEquals(10L, com.seaofnodes.simple.evaluator.Evaluator.evaluate(stop,5));
+ }
+
+
+
+
+ @Test
+ public void test1() {
+ Parser parser = new Parser("""
+struct s0 {int v0;}
+s0 ret = new s0;
+while(arg) {
+ s0 v0 = new s0;
+ v0.v0 = arg;
+ arg = arg-1;
+ if (arg==5) ret=v0;
+}
+return ret;
+""");
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return Phi(Loop10,new s0,Phi(Region31,new s0,Phi_ret));", stop.toString());
+ }
+
+ @Test
+ public void test2() {
+ Parser parser = new Parser("""
+struct s0 {int v0;}
+s0 ret = new s0;
+s0 v0 = new s0;
+while(arg) {
+ v0.v0 = arg;
+ arg = arg-1;
+ if (arg==5) ret=v0;
+}
+return ret;
+""");
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return Phi(Loop13,new s0,Phi(Region32,new s0,Phi_ret));", stop.toString());
+ }
+
+
+ @Test
+ public void test3() {
+ Parser parser = new Parser("""
+struct s0 {int v0;}
+s0 ret = new s0;
+while(arg < 10) {
+ s0 v0 = new s0;
+ if (arg == 5) ret=v0;
+ arg = arg + 1;
+}
+return ret;
+""");
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return Phi(Loop10,new s0,Phi(Region30,new s0,Phi_ret));", stop.toString());
+ }
+
+ @Test
+ public void testBug3() {
+ Parser parser = new Parser("""
+struct s0 {
+ int f0;
+}
+if(0>=0) return new s0;
+return new s0;
+int v0=null.f0;
+""");
+ try { parser.parse(); fail(); }
+ catch( Exception e ) { assertEquals("Accessing unknown field 'f0' from 'null'", e.getMessage()); }
+ }
+
+ @Test
+ public void testBug4() {
+ Parser parser = new Parser("""
+if(0) {
+ while(0) if(arg) continue;
+ int v0=0;
+ while(1) {
+ int arg=-arg;
+ v0=arg;
+ }
+}
+ """);
+ StopNode stop = parser.parse().iterate();
+ assertEquals("Stop[ ]", stop.toString());
+ }
+
+ @Test
+ public void testBug5() {
+ Parser parser = new Parser("""
+struct s0 {
+ int f0;
+}
+if(0) return 0;
+else return new s0;
+if(new s0.f0) return 0;
+ """);
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return new s0;", stop.toString());
+ }
+
+ @Test
+ public void testBug6MissedWorklist() {
+ Parser parser = new Parser("""
+while(0) {}
+int v4=0;
+while(0<arg) {
+ v4=v4+1;
+ while(1) v4=-v4;
+ while(0) arg=-1;
+}
+return 0;
+ """);
+ StopNode stop = parser.parse().iterate();
+ }
+
+ @Test
+ public void testBug7() {
+ Parser parser = new Parser("""
+struct s0 { int f0; }
+s0 v0 = new s0;
+while(v0.f0) {}
+s0 v1 = v0;
+return v1;
+ """);
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return new s0;", stop.toString());
+ }
+
+
+ @Test
+ public void testBug8() {
+ Parser parser = new Parser("""
+int v2=0;
+while(0)
+while(0) {}
+{
+ {
+ {
+ int v36=0;
+ {
+ while(0) {
+ {
+ while(-v2) {
+ {
+ while(v36) {
+ while(v2) return 0;
+ break;
+ } }
+ if(-v2) break;
+ }
+ }
+ }
+ }
+ } }
+}
+""");
+ StopNode stop = parser.parse().iterate();
+ assertEquals("Stop[ ]", stop.toString());
+ }
+
+ @Test
+ public void testBug9() {
+ Parser parser = new Parser("""
+int v0=arg==0;
+while(v0) continue;
+return 0;
+""");
+ StopNode stop = parser.parse().iterate();
+ assertEquals("return 0;", stop.toString());
+ }
+
+
+ @Test public void testReadBeforeStores() {
+ var stop = new Parser("""
+ struct S { int x; int y; }
+ S a = new S; S b = new S;
+ a.x = 11; b.x = 22;
+ S p = a; if (arg) p = b;
+ int before = p.x;
+ a.y = 55; b.y = 66;
+ a.x = 33; b.x = 44;
+ return before*100 + p.x;
+ """).parse().iterate();
+ assertEquals(1133L, com.seaofnodes.simple.evaluator.Evaluator.evaluate(stop,0));
+ assertEquals(2244L, com.seaofnodes.simple.evaluator.Evaluator.evaluate(stop,1));
+ }
+
+ @Test public void testMemoryAcrossNestedLoops() {
+ var stop = new Parser("""
+ struct S { int x; int y; int z; }
+ S s = new S;
+ s.x = 5; s.y = 7; s.z = 11;
+ while (arg > 0) {
+ s.x = s.x + 1;
+ int j = 3;
+ while (j > 0) {
+ j = j - 1;
+ if (j == 1) continue;
+ s.y = s.y + arg;
+ if (arg == 2) break;
+ s.z = s.z + 1;
+ }
+ arg = arg - 1;
+ }
+ return s;
+ """).parse().iterate();
+ for (int arg=0; arg<7; arg++) {
+ var obj = (com.seaofnodes.simple.evaluator.Evaluator.Obj)
+ com.seaofnodes.simple.evaluator.Evaluator.evaluate(stop,arg);
+ org.junit.Assert.assertArrayEquals(new Object[] {
+ 5L+arg, 7L+arg*(arg+1)-(arg>=2 ? 2 : 0), 11L+2*arg-(arg>=2 ? 2 : 0)
+ }, obj.fields());
+ }
+ }
+
+ @Test public void testMemoryAtEarlyReturns() {
+ var stop = new Parser("""
+ struct S { int x; int y; int z; }
+ S s = new S;
+ s.x = 3; s.y = 5; s.z = 7;
+ if (arg) { s.x = 11; s.z = 13; return s; }
+ s.y = 17;
+ return s;
+ """).parse().iterate();
+ for (int arg=0; arg<2; arg++) {
+ var obj = (com.seaofnodes.simple.evaluator.Evaluator.Obj)
+ com.seaofnodes.simple.evaluator.Evaluator.evaluate(stop,arg);
+ org.junit.Assert.assertArrayEquals(arg==0 ? new Object[]{3L,17L,7L} : new Object[]{11L,5L,13L}, obj.fields());
+ }
+ }
+
+ @Test public void testDropLoads() {
+ StopNode stop = new Parser("""
+ struct S { int x; }
+ S a = new S; S b = new S;
+ a.x = arg; b.x = arg+1;
+ S p = a; S q = b;
+ if (arg<0) { p=b; q=a; }
+ int v;
+ if (arg>1) v=p.x; else v=q.x;
+ return v;
+ """).parse().iterate();
+ assertEquals(1,countMemoryNodes(stop,LoadNode.class,new BitSet()));
+ assertEquals(-1L,Evaluator.evaluate(stop,-1));
+ assertEquals(1L,Evaluator.evaluate(stop,0));
+ assertEquals(3L,Evaluator.evaluate(stop,3));
+ }
+
+ @Test public void testDropStores() {
+ StopNode stop = new Parser("""
+ struct S { int x; }
+ S s = new S;
+ if (arg) s.x=arg+1; else s.x=arg+2;
+ return s;
+ """).parse().iterate();
+ assertEquals(1,countMemoryNodes(stop,StoreNode.class,new BitSet()));
+ assertEquals(2L,((Evaluator.Obj)Evaluator.evaluate(stop,0)).fields()[0]);
+ assertEquals(4L,((Evaluator.Obj)Evaluator.evaluate(stop,3)).fields()[0]);
+ }
+
+ @Test public void testKeepReadsBeforeWrites() {
+ StopNode stop = new Parser("""
+ struct S { int x; int y; }
+ S a = new S; S b = new S;
+ a.x=arg; b.x=arg+1;
+ S p=a; S q=b;
+ if (arg<0) { p=b; q=a; }
+ int v;
+ if (arg>1) { v=p.x; p.x=41; p.y=5; }
+ else { v=q.x; q.x=42; }
+ return v;
+ """).parse().iterate();
+ assertEquals(2,countMemoryNodes(stop,LoadNode.class,new BitSet()));
+ assertEquals(-1L,Evaluator.evaluate(stop,-1));
+ assertEquals(1L,Evaluator.evaluate(stop,0));
+ assertEquals(3L,Evaluator.evaluate(stop,3));
+ }
+
+ private static int countMemoryNodes(Node n, Class<?> kind, BitSet seen) {
+ if (n==null || seen.get(n._nid)) return 0;
+ seen.set(n._nid);
+ int cnt=kind.isInstance(n) ? 1 : 0;
+ for (Node def : n._inputs) cnt+=countMemoryNodes(def,kind,seen);
+ return cnt;
+ }
+}
diff --git a/src/test/java/com/seaofnodes/simple/SchedulerTest.java b/src/test/java/com/seaofnodes/simple/SchedulerTest.java
new file mode 100644
index 00000000..ad595822
--- /dev/null
+++ b/src/test/java/com/seaofnodes/simple/SchedulerTest.java
@@ -0,0 +1,73 @@
+package com.seaofnodes.simple;
+
+import com.seaofnodes.simple.evaluator.Evaluator;
+import com.seaofnodes.simple.node.StopNode;
+import org.junit.Assert;
+import org.junit.Ignore;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+
+public class SchedulerTest {
+
+ private static void assertObj(Object obj, String name, Object... fields) {
+ assertEquals(Evaluator.Obj.class, obj.getClass());
+ var o = (Evaluator.Obj)obj;
+ assertEquals(name, o.struct()._name);
+ Assert.assertArrayEquals(fields, o.fields());
+ }
+
+ @Test
+ @Ignore
+ public void testJig() {
+ Parser parser = new Parser("""
+struct S {
+ int f;
+}
+S v=new S;
+v.f = 2;
+int i=v.f;
+if (arg) v.f=1;
+return i;
+""");
+ StopNode stop = parser.parse();//.iterate();
+ var eval = new Evaluator(stop);
+ assertEquals(2L, eval.evaluate(1, 10));
+ }
+
+ @Test
+ public void testStoreInIf() {
+ Parser parser = new Parser("""
+struct S {
+ int f;
+}
+S v0=new S;
+if(arg) v0.f=1;
+return v0;
+""");
+ StopNode stop = parser.parse().iterate();
+ var eval = new Evaluator(stop);
+ assertObj(eval.evaluate(0, 10), "S", 0L);
+ assertObj(eval.evaluate(1, 10), "S", 1L);
+ }
+
+ @Test
+ public void testStoreInIf2() {
+ Parser parser = new Parser("""
+struct S {
+ int f;
+}
+S v=new S;
+v.f = 2;
+int i=new S.f;
+i=v.f;
+if (arg) v.f=1;
+return i;
+""");
+ StopNode stop = parser.parse().iterate();
+ var eval = new Evaluator(stop);
+ assertEquals(2L, eval.evaluate(0, 10));
+ assertEquals(2L, eval.evaluate(1, 10));
+ }
+
+}
diff --git a/src/test/java/com/seaofnodes/simple/TypeTest.java b/src/test/java/com/seaofnodes/simple/TypeTest.java
new file mode 100644
index 00000000..c9eb2747
--- /dev/null
+++ b/src/test/java/com/seaofnodes/simple/TypeTest.java
@@ -0,0 +1,132 @@
+package com.seaofnodes.simple;
+
+import com.seaofnodes.simple.type.*;
+import org.junit.Assert;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+import static org.junit.Assert.assertSame;
+
+public class TypeTest {
+
+ // Test basic properties and GLB
+ @Test
+ public void testTypeAdHoc() {
+ TypeStruct s1 = TypeStruct.make("s1", new Field[]{
+ Field.make("a", TypeInteger.BOT),
+ Field.make("b", TypeInteger.BOT) });
+ TypeStruct s2 = TypeStruct.make("s2", new Field[]{
+ Field.make("a", TypeInteger.BOT),
+ Field.make("b", TypeInteger.BOT) });
+ Assert.assertEquals(s1, s1.glb());
+ Assert.assertNotEquals(s1, s1.dual());
+ Assert.assertEquals(s1, s1.dual().glb());
+
+ assertEquals(TypeStruct.BOT, s1.meet(s2));
+ assertEquals(TypeMem.BOT, TypeMem.TOP.meet(TypeMem.BOT));
+ assertEquals(TypeMem.TOP, TypeMem.BOT.dual());
+ assertEquals(TypeMem.BOT, TypeMem.TOP.dual());
+
+ TypeMemPtr ptr1 = TypeMemPtr.make(s1);
+ Assert.assertEquals(s1, ptr1._obj);
+ TypeMemPtr ptr2 = TypeMemPtr.make(s2);
+ Assert.assertEquals(s2, ptr2._obj);
+
+ TypeMemPtr ptr1nil = TypeMemPtr.make(s1, true);
+ Assert.assertEquals(s1, ptr1nil._obj);
+ Assert.assertTrue(ptr1nil._nil);
+ Assert.assertFalse(ptr1nil._obj==null);
+ TypeMemPtr ptr2nil = TypeMemPtr.make(s2, true);
+ Assert.assertEquals(s2, ptr2nil._obj);
+
+ Assert.assertNotEquals(ptr1, ptr2);
+ Assert.assertNotEquals(ptr1, ptr1.glb());
+ Assert.assertEquals(ptr1nil, ptr1.glb());
+
+ Assert.assertEquals(ptr1, ptr1.dual().dual());
+ Assert.assertEquals(ptr1.glb(), ptr1.dual().glb());
+ Assert.assertEquals(TypeMemPtr.BOT, ptr1.meet(ptr2nil));
+ Assert.assertEquals(ptr1.glb(), ptr1.meet(TypeMemPtr.NULLPTR));
+
+ TypeMemPtr TOP = TypeMemPtr.TOP;
+ TypeMemPtr BOT = TypeMemPtr.BOT;
+ TypeMemPtr PTR = TypeMemPtr.VOIDPTR;
+ TypeMemPtr NULL = TypeMemPtr.NULLPTR;
+ Type PTR_meet_NULL = NULL.meet(PTR);
+ Assert.assertEquals(BOT, PTR_meet_NULL);
+ Type ptr1_meet_ptr2 = ptr1.meet(ptr2);
+ Assert.assertEquals(PTR, ptr1_meet_ptr2);
+ Type NULL_join_ptr1 = NULL.join(ptr1);
+ Assert.assertEquals(TOP, NULL_join_ptr1);
+ Type NULL_join_PTR = PTR.join(NULL);
+ Assert.assertEquals(TOP, NULL_join_PTR);
+ Type ptr1_dual = ptr1.dual();
+ Type nullableptr1_dual = ptr1nil.dual();
+ }
+
+ // Test theoretical properties.
+ // This is a symmetric complete bounded (ranked) lattice.
+ // Also the meet is commutative and associative.
+ // The lattice has a dual (symmetric), and join is ~(~x meet ~y).
+ // See https://en.wikipedia.org/wiki/Lattice_(order).
+ @Test
+ public void testLatticeTheory() {
+ Type[] ts = Type.gather();
+
+ // Confirm commutative & complete
+ for( Type t0 : ts )
+ for( Type t1 : ts ) {
+ check_commute (t0,t1);
+ check_symmetric(t0,t1);
+ }
+
+ // Confirm associative
+ for( Type t0 : ts )
+ for( Type t1 : ts )
+ for( Type t2 : ts )
+ assoc(t0,t1,t2);
+
+ // Confirm symmetry. If A isa B, then A.join(C) isa B.join(C)
+ for( Type t0 : ts )
+ for( Type t1 : ts )
+ if( t0.isa(t1) )
+ for( Type t2 : ts ) {
+ Type t02 = t0.join(t2);
+ Type t12 = t1.join(t2);
+ Type mt = t02.meet(t12);
+ assertSame(mt,t12);
+ }
+ }
+
+ // By design in meet, args are already flipped to order _type, which forces
+ // symmetry for things with badly ordered _type fields. The question is
+ // still interesting for other orders.
+ private static void check_commute( Type t0, Type t1 ) {
+ if( t0==t1 ) return;
+ if( t0.is_simple() && !t1.is_simple() ) return; // By design, flipped the only allowed order
+ Type mta = t0.meet(t1);
+ Type mtb = t1.meet(t0); // Reverse args and try again
+ assertSame(mta,mtb);
+ }
+
+ // A & B = MT
+ // Expect: ~A & ~MT == ~A
+ // Expect: ~B & ~MT == ~B
+ private static void check_symmetric( Type t0, Type t1 ) {
+ if( t1==t0 ) return;
+ Type mt = t0.meet(t1);
+ Type ta = mt.dual().meet(t1.dual());
+ Type tb = mt.dual().meet(t0.dual());
+ assertSame(ta,t1.dual());
+ assertSame(tb,t0.dual());
+ }
+
+ private static void assoc( Type t0, Type t1, Type t2 ) {
+ Type t01 = t0 .meet(t1 );
+ Type t12 = t1 .meet(t2 );
+ Type t01_2 = t01.meet(t2 );
+ Type t0_12 = t0 .meet(t12);
+ assertSame(t01_2,t0_12);
+ }
+
+}
diff --git a/src/test/java/com/seaofnodes/simple/evaluator/Evaluator.java b/src/test/java/com/seaofnodes/simple/evaluator/Evaluator.java
new file mode 100644
index 00000000..bddcc596
--- /dev/null
+++ b/src/test/java/com/seaofnodes/simple/evaluator/Evaluator.java
@@ -0,0 +1,209 @@
+package com.seaofnodes.simple.evaluator;
+
+import com.seaofnodes.simple.Utils;
+import com.seaofnodes.simple.node.*;
+import com.seaofnodes.simple.type.Field;
+import com.seaofnodes.simple.type.TypeInteger;
+import com.seaofnodes.simple.type.TypeMemPtr;
+import com.seaofnodes.simple.type.TypeStruct;
+
+import java.lang.invoke.MethodHandle;
+import java.lang.invoke.MethodHandles;
+import java.util.ArrayList;
+import java.util.BitSet;
+import java.util.Objects;
+
+public class Evaluator {
+
+ private static final Object MEMORY = new Object();
+
+ public record Obj(TypeStruct struct, Object[] fields) {
+ @Override
+ public String toString() {
+ var sb = new StringBuilder();
+ sb.append("Obj<").append(struct._name).append("> {");
+ for(int i=0; i<struct._fields.length; i++) {
+ sb.append("\n ").append(struct._fields[i]._fname).append("=").append(fields[i]);
+ }
+ return sb.append("\n}").toString();
+ }
+ }
+
+ private static int getFieldIndex(TypeStruct struct, MemOpNode memop) {
+ int idx = struct.find(memop._name);
+ if( idx >= 0 ) return idx;
+ throw new AssertionError("Field "+memop._name+" not found in struct " + struct._name);
+ }
+
+ public enum Status {
+ TIMEOUT,
+ FALLTHROUGH
+ }
+
+ /**
+ * Find the start node from some node in the graph or null if there is no start node
+ */
+ private static StartNode findStart(BitSet visit, Node node) {
+ if (node == null) return null;
+ if( visit.get(node._nid) ) return null;
+ visit.set(node._nid);
+ StartNode start = node instanceof StartNode ? (StartNode) node : null;
+ for( Node def : node._inputs ) {
+ var res = findStart(visit,def);
+ if( res != null ) start = res;
+ }
+ for( Node use : node._outputs ) {
+ var res = findStart(visit,use);
+ if( res != null ) start = res;
+ }
+ return start;
+ }
+
+ private final Object[] values;
+ private final ArrayList<Object> phiCache = new ArrayList<>();
+ private final StartNode start;
+ private final Scheduler.Block startBlock;
+
+ public Evaluator(Node graph) {
+ var visited = new BitSet();
+ this.start = findStart(visited, graph);
+ if (this.start == null) {
+ this.values = null;
+ this.startBlock = null;
+ return;
+ }
+ this.startBlock = Scheduler.schedule(this.start);
+ this.values = new Object[visited.length()];
+ }
+
+ private long div(DivNode div) {
+ long in2 = vall(div.in(2));
+ return in2 == 0 ? 0 : vall(div.in(1)) / in2;
+ }
+
+ private Object alloc(NewNode alloc) {
+ var type = ((TypeMemPtr)alloc.compute())._obj;
+ return new Obj(type, new Object[type._fields.length]);
+ }
+
+ private Object load(LoadNode load) {
+ var from = (Obj)val(load.in(2));
+ var idx = getFieldIndex(from.struct, load);
+ return from.fields[idx];
+ }
+
+ private Object store(StoreNode store) {
+ var to = (Obj)val(store.in(2));
+ var val = val(store.in(3));
+ var idx = getFieldIndex(to.struct, store);
+ to.fields[idx] = val;
+ return null;
+ }
+
+ private static boolean isTrue(Object obj) {
+ if (obj == null) return false;
+ if (obj instanceof Number n) return n.longValue() != 0;
+ return true;
+ }
+
+ private Object val(Node node) {
+ return values[node._nid];
+ }
+
+ private long vall(Node node) {
+ var v = val(node);
+ if (v instanceof Number n) return n.longValue();
+ throw new AssertionError("Not a long " + v);
+ }
+
+ private Object cons(ConstantNode cons) {
+ var type = cons.compute();
+ if (type instanceof TypeInteger i) return i.value();
+ assert type instanceof TypeMemPtr;
+ return null;
+ }
+
+ private Object exec(Node node) {
+ return switch (node) {
+ case ConstantNode cons -> cons(cons);
+ case AddNode add -> vall(add.in(1)) + vall(add.in(2));
+ case BoolNode.EQ eq -> Objects.equals(val(eq.in(1)), val(eq.in(2))) ? 1L : 0L;
+ case BoolNode.LE le -> vall(le.in(1)) <= vall(le.in(2)) ? 1L : 0L;
+ case BoolNode.LT lt -> vall(lt.in(1)) < vall(lt.in(2)) ? 1L : 0L;
+ case DivNode div -> div(div);
+ case MinusNode minus -> -vall(minus.in(1));
+ case MulNode mul -> vall(mul.in(1)) * vall(mul.in(2));
+ case NotNode not -> isTrue(val(not.in(1))) ? 0L : 1L;
+ case SubNode sub -> vall(sub.in(1)) - vall(sub.in(2));
+ case CastNode cast -> val(cast.in(1));
+ case LoadNode load -> load(load);
+ case StoreNode store -> store(store);
+ case NewNode alloc -> alloc(alloc);
+ case ProjNode proj -> ((Object[])val(proj.ctrl()))[proj._idx];
+ default -> throw new AssertionError("Unexpected node " + node);
+ };
+ }
+
+ /**
+ * Run the graph until either a return is found or the number of loop iterations are done.
+ */
+ public Object evaluate(long parameter, int loops) {
+ if (start == null) return Status.TIMEOUT;
+ var s = new Object[start.compute()._types.length];
+ s[1] = MEMORY;
+ s[2] = parameter;
+ values[start._nid] = s;
+ int i=0;
+ Scheduler.Block block = this.startBlock;
+ for(;;) {
+ for(; i<block.nodes().length;i++) values[block.nodes()[i]._nid] = exec(block.nodes()[i]);
+ i=0;
+ switch (block.exit()) {
+ case null:
+ return Status.FALLTHROUGH;
+ case ReturnNode ret:
+ return val(ret.expr());
+ case IfNode ifn:
+ block = block.next()[isTrue(val(ifn.in(1))) ? 0 : 1];
+ if (block == null) return Status.FALLTHROUGH;
+ break;
+ case RegionNode region:
+ if (loops-- <= 0) return Status.TIMEOUT;
+ int exit = block.exitId();
+ assert exit > 0 && region.nIns() > exit;
+ block = block.next()[0];
+ assert block != null;
+ for (; i < block.nodes().length; i++) {
+ if (!(block.nodes()[i] instanceof PhiNode)) break;
+ phiCache.add(val(block.nodes()[i].in(exit)));
+ }
+ for (i=0; i<phiCache.size(); i++) {
+ values[block.nodes()[i]._nid] = phiCache.get(i);
+ }
+ phiCache.clear();
+ break;
+ default:
+ throw Utils.TODO("Unexpected control node " + block.exit());
+ }
+ }
+ }
+
+ public static Object evaluate(StopNode graph) {
+ return evaluate(graph, 0);
+ }
+
+ public static Object evaluate(StopNode graph, long parameter) {
+ return evaluate(graph, parameter, 1000);
+ }
+
+ public static Object evaluate(StopNode graph, long parameter, int loops) {
+ var res = evaluateWithResult(graph, parameter, loops);
+ if (res == Status.TIMEOUT) throw new RuntimeException("Timeout");
+ return res;
+ }
+
+ public static Object evaluateWithResult(StopNode graph, long parameter, int loops) {
+ return new Evaluator(graph).evaluate(parameter, loops);
+ }
+
+}
diff --git a/src/test/java/com/seaofnodes/simple/evaluator/Scheduler.java b/src/test/java/com/seaofnodes/simple/evaluator/Scheduler.java
new file mode 100644
index 00000000..674d12f5
--- /dev/null
+++ b/src/test/java/com/seaofnodes/simple/evaluator/Scheduler.java
@@ -0,0 +1,592 @@
+package com.seaofnodes.simple.evaluator;
+
+import com.seaofnodes.simple.Utils;
+import com.seaofnodes.simple.node.*;
+import com.seaofnodes.simple.type.Type;
+
+import java.util.*;
+
+/**
+ * A late scheduler for test cases.
+ * <br>
+ * <br>
+ * This scheduler is used for tests and is not the final scheduler.
+ * <br>
+ * <br>
+ * The scheduler schedules not as late as possible. Since it is just for test cases this is fine.
+ * A better scheduler will try to place nodes outside of loops. Due to the schedule late strategy
+ * this scheduler might place initialization code in loops.
+ * <br>
+ * We schedule late here since memory edges have some implicit information. There can only be one
+ * memory edge (for a field) at a time. However, before <code>if</code> statements this might split.
+ * When scheduling early a store might be moved out of the loop but then there are two edges alive.
+ * The one through the store node and the adjacent one. This is an invalid schedule and instead of
+ * handling this case a late scheduler does not have this problem as memory edges are combined
+ * through phi nodes.
+ * <br>
+ * <br>
+ * A bit about this scheduler. It first discovers all alive nodes and allocates side data for them.
+ * Then the control flow graph is build. Then, all phis are placed and finally all the remaining nodes
+ * in an order where a node is placed when all alive uses are placed. Finally, the output is produced.
+ */
+public class Scheduler {
+
+ /**
+ * A basic block with a schedule of the containing nodes.
+ *
+ * @param nodes The nodes in the final schedule of this block
+ * @param exit The exit node of this block.
+ * @param exitId In case the next block is a region this gives the entry id into the region.
+ * @param next The next blocks.
+ */
+ public record Block(Node[] nodes, Node exit, int exitId, Block[] next) {}
+
+ /**
+ * Definition of a block in the building process.
+ */
+ private static class BasicBlock {
+
+ /**
+ * Dominator of this block
+ */
+ final BasicBlock dom;
+ /**
+ * Id of this block where <code>a.depth < b.depth</code> means that a is before b or
+ * both are in different branches.
+ */
+ final int depth;
+ /**
+ * Previous blocks
+ */
+ final BasicBlock[] prev;
+ /**
+ * Entry to this block
+ */
+ final Node entry;
+ /**
+ * Schedules node in reverse order.
+ */
+ final ArrayList<Node> reverseSchedule = new ArrayList<>();
+
+ /**
+ * Initialize the block.
+ * @param entry The node that started this block
+ * @param depth The depth of this node. All previous nodes need to have a lower value.
+ * @param prev The previous blocks.
+ */
+ BasicBlock(Node entry, int depth, BasicBlock... prev) {
+ BasicBlock dom = null;
+ int max = -1;
+ for(var bb: prev) {
+ max = Math.max(max, bb.depth);
+ dom = dom==null?bb:dom(dom, bb);
+ }
+ assert depth > max;
+ this.dom = dom;
+ this.depth = depth;
+ this.entry = entry;
+ this.prev = prev;
+ }
+
+ }
+
+ /**
+ * Ancillary data for nodes used during the scheduling process.
+ */
+ private static class NodeData {
+
+ /**
+ * The node this ancillary data is used for.
+ */
+ final Node node;
+
+ /**
+ * Number of alive users not yet scheduled.
+ */
+ int users = 1;
+
+ /**
+ * Block into which the node should be placed so far.
+ * This will be updated with every placed use.
+ */
+ BasicBlock block;
+
+ /**
+ * Initialize ancillary data for a node
+ * @param node The node this ancillary data is associated with.
+ */
+ NodeData(Node node) {
+ this.node = node;
+ }
+
+ }
+
+ /**
+ * Ancillary data for nodes.
+ */
+ private final IdentityHashMap<Node, NodeData> data = new IdentityHashMap<>();
+ /**
+ * List of nodes which can be placed since all users are placed.
+ */
+ private final Stack<NodeData> scheduleQueue = new Stack<>();
+
+ /**
+ * Get the ancillary data for an alive node.
+ * @param node The node for which the ancillary data is requested.
+ * @return The ancillary data for the node.
+ */
+ NodeData d(Node node) {
+ return od(node).orElseThrow(AssertionError::new);
+ }
+
+ /**
+ * Get the ancillary data for a potentially dead node.
+ * @param node The node for which the ancillary data is requested.
+ * @return The ancillary data for the node an alive node or
+ * <code>Optional.empty()</code> for <code>null</code> or dead nodes.
+ */
+ Optional<NodeData> od(Node node) {
+ return Optional.ofNullable(data.get(node));
+ }
+
+ /**
+ * Checks a node for validity
+ * @param data The node to check.
+ * @return true if all placed inputs are before this node.
+ */
+ private boolean isValid(NodeData data) {
+ return data.node._inputs.stream().map(i->i==null?null:d(i)).map(d->d==null||d.users>0?null:d.block).allMatch(d->d==null||dom(d, data.block)==d);
+ }
+
+ /**
+ * Checks that node is not XCtrl.
+ * @param node The node to check.
+ * @return true if the node is not XCtrl.
+ */
+ private static boolean isNotXCtrl(Node node) {
+ return !(node instanceof ConstantNode c && c.compute() == Type.XCONTROL);
+ }
+
+ /**
+ * Return the dominator of <code>a</code> and <code>b</code>
+ * @param a Block a
+ * @param b Block b
+ * @return The dominator of <code>a</code> and <code>b</code>
+ */
+ private static BasicBlock dom(BasicBlock a, BasicBlock b) {
+ while (a!=b) {
+ if (a.depth >= b.depth) a=a.dom;
+ if (b.depth > a.depth) b=b.dom;
+ }
+ return a;
+ }
+
+ /**
+ * Return if a is before b.
+ * @param a Block a
+ * @param b Block b
+ * @return true is a is before b.
+ */
+ private static boolean isBefore(BasicBlock a, BasicBlock b) {
+ while (b.depth > a.depth) {
+ while (b.dom.depth > a.depth) b = b.dom;
+ for (int i=0; i<b.prev.length-1; i++) {
+ if (isBefore(a, b.prev[i])) return true;
+ }
+ b = b.prev[b.prev.length-1];
+ }
+ return a == b;
+ }
+
+ /**
+ * Is node placed during the control flow graph build.
+ * @param data Node to check.
+ * @return true if node is placed during the control flow graph build.
+ */
+ private static boolean isPinnedNode(NodeData data) {
+ return data.node.isCFG() || data.node instanceof PhiNode;
+ }
+
+ /**
+ * Refine placement of a node.
+ * @param data The node to refine.
+ * @param block The block before the node should be scheduled.
+ */
+ private void refinePlacement(NodeData data, BasicBlock block) {
+ assert !isPinnedNode(data);
+ data.block = data.block == null ? block : dom(data.block, block);
+ assert isValid(data);
+ }
+
+ /**
+ * Refine placement if before is happening before data
+ * @param data The node for which the placement should be refined.
+ * @param before The node before which the data node should be placed.
+ */
+ private void optionalRefinePlacement(NodeData data, Node before) {
+ od(before).ifPresent(d->{
+ // before might be in a different branch. So check this case with isBefore
+ // and only refine the placement if it is not in a different branch.
+ if (isBefore(d.block, data.block)) refinePlacement(data, d.block);
+ });
+ }
+
+ /**
+ * Schedule all nodes not yet scheduled.
+ */
+ private void doSchedule() {
+ while (!scheduleQueue.isEmpty()) {
+ var data = scheduleQueue.pop();
+ assert !isPinnedNode(data);
+
+ assert data.block != null;
+ assert data.users == 0;
+
+ if (data.node instanceof LoadNode l) {
+ assert isValid(data);
+ // Handle anti-deps of load nodes.
+ // At this point all anti-dep nodes are scheduled,
+ // but they did not refine the placement
+ // so do that now.
+ var mem = l.in(1);
+ for(var out : mem._outputs) {
+ if (out instanceof PhiNode p) {
+ var r = p.in(0);
+ for (int i = 1; i < p.nIns(); i++) {
+ if (p.in(i) == mem) optionalRefinePlacement(data, r.in(i));
+ }
+ } else if (!(out instanceof LoadNode)) {
+ optionalRefinePlacement(data, out);
+ }
+ }
+ }
+
+ assert isValid(data);
+ data.block.reverseSchedule.add(data.node);
+
+ for(var in:data.node._inputs) {
+ if (in!=null) update(d(in), data.block);
+ }
+ if (data.node instanceof StoreNode s) {
+ // Store nodes have anti-deps to load nodes.
+ // So decrease the uses of these loads when the store is placed.
+ for (var out: s.in(1)._outputs) {
+ if (out instanceof LoadNode) od(out).ifPresent(this::decUsers);
+ }
+ }
+ }
+
+ // Now all nodes should be placed and have a block assigned
+ assert this.data.values().stream().noneMatch(d->d.block==null);
+ }
+
+ /**
+ * Decrement the not-yet-placed users of a block.
+ * @param data The node for which the users should be decremented.
+ */
+ private void decUsers(NodeData data) {
+ assert data.users > 0;
+ if (--data.users == 0) {
+ assert data.block != null;
+ assert isValid(data);
+
+ // When all users are gone this node can be scheduled.
+ scheduleQueue.push(data);
+ }
+ }
+
+ /**
+ * Update the placement of a node
+ * @param data The node to update
+ * @param block The block before which the node should happen.
+ */
+ private void update(NodeData data, BasicBlock block) {
+ assert block != null;
+ if (data.users == 0) {
+ assert isPinnedNode(data);
+ return;
+ }
+ refinePlacement(data, block);
+ decUsers(data);
+ }
+
+ /**
+ * Checks if a CFG node is ready to be placed. This is used for regions joining branches.
+ * @param node The CFG node to check
+ * @return true if all parents of a CFG node are placed.
+ */
+ private boolean isCFGNodeReady(Node node) {
+ if (node instanceof LoopNode l) {
+ assert d(l.in(1)).block != null;
+ } else if (node instanceof RegionNode r) {
+ for(int i=1; i<r.nIns(); i++) {
+ if (od(r.in(i)).map(d->d.block==null).orElse(false)) return false;
+ }
+ } else {
+ assert d(node.in(0)).block != null;
+ }
+ return true;
+ }
+
+ /**
+ * Schedule all phi nodes.
+ * @param phiQueue List of all the phi nodes to schedule.
+ */
+ private void schedulePhis(Stack<NodeData> phiQueue) {
+ while(!phiQueue.empty()) {
+ var data = phiQueue.pop();
+ var phi = (PhiNode) data.node;
+ var r = phi.in(0);
+ data.block = d(r).block;
+ for(int i=1; i<phi.nIns(); i++) {
+ var in = phi.in(i);
+ od(r.in(i)).ifPresent(d->update(d(in), d.block));
+ }
+ }
+ }
+
+ /**
+ * Build the control flow graph.
+ * @param start The start node.
+ */
+ private void doBuildCTF(StartNode start) {
+ var queue = new Stack<NodeData>();
+ var phiQueue = new Stack<NodeData>();
+ queue.push(d(start));
+ int depth = 0;
+ while (!queue.isEmpty()) {
+ var data = queue.pop();
+ var node = data.node;
+ assert node.isCFG();
+ BasicBlock block;
+ switch (node) {
+ case StartNode s:
+ block = new BasicBlock(s, depth++);
+ break;
+ case LoopNode l:
+ block = new BasicBlock(l, depth++, d(l.in(1)).block);
+ break;
+ case RegionNode r:
+ var prev = new ArrayList<BasicBlock>();
+ for(int i=1; i<r.nIns(); i++) {
+ od(r.in(i)).ifPresent(d->prev.add(d.block));
+ }
+ block = new BasicBlock(r, depth++, prev.toArray(BasicBlock[]::new));
+ break;
+ case IfNode i:
+ block = d(i.in(0)).block;
+ break;
+ case ReturnNode r:
+ block = d(r.in(0)).block;
+ break;
+ default:
+ block = new BasicBlock(node, depth++, d(node.in(0)).block);
+ }
+ data.block = block;
+ if (node instanceof RegionNode r) {
+ // Regions might have phis which need to be scheduled.
+ // Put them on a list for later scheduling.
+ for (var out:r._outputs) {
+ if (out instanceof PhiNode p) {
+ var d = this.data.get(p);
+ if (d!=null) {
+ d.users=0;
+ phiQueue.push(d);
+ }
+ }
+ }
+ }
+ if (!(node instanceof ReturnNode))
+ for (Node n:node._outputs) if (n.isCFG() && isCFGNodeReady(n) && d(n).block == null) queue.push(d(n));
+ var b = block;
+ for(var in:data.node._inputs) od(in).ifPresent(d->update(d, b));
+ }
+
+ // Schedule all phi nodes.
+ schedulePhis(phiQueue);
+ }
+
+ /**
+ * Mark a node alive and create ancillary data for it.
+ * @param queue List into which this node should be placed if it needs to be visited.
+ * @param node Node which should be marked alive.
+ * @param cfg If this node is a CFG node.
+ */
+ private void markAlive(Stack<NodeData> queue, Node node, boolean cfg) {
+ var nd = od(node).orElse(null);
+ if (nd != null) {
+ // Node was already visited, just increase the users.
+ if (nd.users>0) nd.users++;
+ return;
+ }
+ assert node.isCFG() == cfg;
+ assert isNotXCtrl(node);
+ nd = new NodeData(node);
+ if (cfg) nd.users=0;
+ data.put(node, nd);
+ queue.push(nd);
+ }
+
+ /**
+ * Mark all alive nodes.
+ * First all CFG nodes are marked, then all other nodes.
+ * @param node THe start node.
+ */
+ private void doMarkAlive(Node node) {
+ var cfgQueue = new Stack<NodeData>();
+ var dataQueue = new Stack<NodeData>();
+ var mem = new Stack<NodeData>();
+ markAlive(cfgQueue, node, true);
+ // Mark all CFG nodes.
+ while (!cfgQueue.isEmpty()) {
+ var data = cfgQueue.pop();
+ node = data.node;
+ assert node.isCFG();
+ if (!(node instanceof ReturnNode)) {
+ for (var out : node._outputs) if (out.isCFG() && isNotXCtrl(out)) markAlive(cfgQueue, out, true);
+ }
+ for (var in : node._inputs) if(in!=null && !in.isCFG() && isNotXCtrl(in)) markAlive(dataQueue, in, false);
+ }
+ // Mark all other nodes.
+ while (!dataQueue.isEmpty()) {
+ var data = dataQueue.pop();
+ node = data.node;
+ assert !node.isCFG();
+ if (node instanceof PhiNode phi) {
+ var r = phi.in(0);
+ for (int i=1; i<phi.nIns(); i++) {
+ if (od(r.in(i)).isPresent()) markAlive(dataQueue, phi.in(i), false);
+ }
+ } else {
+ for (var in : node._inputs) if (in != null && !in.isCFG()) markAlive(dataQueue, in, false);
+ }
+ if (node instanceof StoreNode) mem.push(data);
+ }
+ // Handle store nodes and increase load with an anti-dep to the store.
+ while (!mem.isEmpty()) {
+ var data = mem.pop();
+ node = data.node;
+ for(var out:node.in(1)._outputs) {
+ if (out instanceof LoadNode) od(out).ifPresent(d->d.users++);
+ }
+ }
+ }
+
+ /**
+ * Helper function to append the nodes of a block to an array of nodes
+ * @param arr The array the nodes of a block should be appended to.
+ * @param node A potentially separator node
+ * @param block The block from which the nodes should be appended.
+ * @return The combined new array.
+ */
+ private static Node[] appendNodes(Node[] arr, Node node, BasicBlock block) {
+ var idx = arr.length;
+ arr = Arrays.copyOf(arr, arr.length+block.reverseSchedule.size()+(node==null?0:1));
+ if (node != null) arr[idx++] = node;
+ for(int i=block.reverseSchedule.size()-1;i>=0;i--) {
+ arr[idx++] = block.reverseSchedule.get(i);
+ }
+ return arr;
+ }
+
+ /**
+ * Find the CFG output of a node
+ * @param node The node
+ * @return THe CFG output of the node.
+ */
+ private static Node findSingleCFGOut(Node node) {
+ if (node instanceof StartNode) {
+ for(var n:node._outputs) if (n instanceof ProjNode p && p._idx==0) return p;
+ return null;
+ }
+ assert node._outputs.stream().filter(Node::isCFG).limit(2).count()<=1;
+ for(var n:node._outputs) if(n.isCFG()) return n;
+ return null;
+ }
+
+ /**
+ * Build the final data structure after all the scheduling happened.
+ * @param start The start node
+ * @return The final schedule.
+ */
+ private Block build(Node start) {
+ var blocks = new IdentityHashMap<Node, Block>();
+ var queue = new Stack<NodeData>();
+ queue.push(d(start));
+
+ // Visit all CFG nodes and create blocks for them.
+ // This can combine blocks.
+ while(!queue.isEmpty()) {
+ var data = queue.pop();
+ var first = data.node;
+ Node prev;
+ var last = first;
+ Node[] arr = new Node[0];
+ if (first instanceof RegionNode) {
+ var nodes = new ArrayList<Node>();
+ for(var out: first._outputs) {
+ if (out instanceof PhiNode) {
+ if(od(out).isPresent()) nodes.add(out);
+ }
+ }
+ arr = nodes.toArray(arr);
+ }
+ arr = appendNodes(arr, null, data.block);
+ assert !(first instanceof IfNode);
+ for(;;) {
+ prev = last;
+ last = findSingleCFGOut(last);
+ if (last == null) break;
+ if (last instanceof RegionNode) {
+ if (blocks.get(last) == null && last != first)
+ queue.push(d(last));
+ break;
+ }
+ if (last instanceof ReturnNode) break;
+ if (last instanceof IfNode if_) {
+ for(var out:if_._outputs) if (out.isCFG() && blocks.get(out) == null) queue.push(d(out));
+ break;
+ }
+ data = d(last);
+ arr = appendNodes(arr, data.node, data.block);
+ }
+ blocks.put(first, switch(last) {
+ case null -> new Block(arr, null, -1, new Block[0]);
+ case IfNode i -> new Block(arr, i, -1, new Block[2]);
+ case RegionNode r -> new Block(arr, r, Utils.find(r._inputs, prev), new Block[1]);
+ case ReturnNode r -> new Block(arr, r, -1, new Block[0]);
+ default -> throw new AssertionError("Unexpected block exit node");
+ });
+ }
+ // Update the next pointer of all blocks.
+ for (var block: blocks.values()) {
+ switch(block.exit) {
+ case null: break;
+ case IfNode i:
+ for(var out:i._outputs) if (out instanceof ProjNode p) block.next[p._idx] = blocks.get(p);
+ break;
+ case RegionNode r:
+ block.next[0] = blocks.get(r);
+ break;
+ default:
+ assert block.exit instanceof ReturnNode;
+ }
+ }
+ // And return the block for the start node.
+ return blocks.get(start);
+ }
+
+ /**
+ * Create a schedule for the program reachable from start.
+ * @param start The start node
+ * @return The final schedule.
+ */
+ public static Scheduler.Block schedule(StartNode start) {
+ var scheduler = new Scheduler();
+ scheduler.doMarkAlive(start);
+ scheduler.doBuildCTF(start);
+ scheduler.doSchedule();
+ return scheduler.build(start);
+ }
+
+}
diff --git a/src/test/java/com/seaofnodes/simple/fuzzer/Fuzzer.java b/src/test/java/com/seaofnodes/simple/fuzzer/Fuzzer.java
index c3444093..7dcb88e5 100644
--- a/src/test/java/com/seaofnodes/simple/fuzzer/Fuzzer.java
+++ b/src/test/java/com/seaofnodes/simple/fuzzer/Fuzzer.java
@@ -1,11 +1,12 @@
package com.seaofnodes.simple.fuzzer;
-import com.seaofnodes.simple.GraphEvaluator;
import com.seaofnodes.simple.Parser;
+import com.seaofnodes.simple.evaluator.Evaluator;
import com.seaofnodes.simple.node.Node;
import com.seaofnodes.simple.node.StopNode;
import java.util.ArrayList;
+import java.util.Objects;
import java.util.Random;
import java.util.function.Consumer;
@@ -36,13 +37,15 @@ public class Fuzzer {
* @param script The script causing the exception
* @param reproducer Reproducer which should be used to reproduce the test case.
*/
- private void recordException(Throwable e, String script, Consumer<String> reproducer) {
+ private void recordException(Throwable e, String script, Consumer<String> reproducer, long seed) {
for (var ex : exceptions) {
if (FuzzerUtils.isExceptionFromSameCause(ex, e)) return;
}
exceptions.add(e);
System.out.println("========== Stack ==========");
e.printStackTrace(System.out);
+ System.out.println("========== Seed ==========");
+ System.out.println(seed);
System.out.println("========== Code ===========");
System.out.println(script);
System.out.println("========= Reduced =========");
@@ -51,20 +54,30 @@ public class Fuzzer {
System.out.flush();
}
+ private static boolean neq(Object a, Object b) {
+ if (Objects.equals(a, b)) return false;
+ if (a instanceof Evaluator.Obj ea && b instanceof Evaluator.Obj eb) {
+ if (ea.struct() != eb.struct()) return true;
+ for(int i=0;i<ea.fields().length;i++) {
+ if (neq(ea.fields()[i], eb.fields()[i])) return true;
+ }
+ return false;
+ }
+ return true;
+ }
+
/**
* Check that two graphs result in the same output when supplied with a value
- * @param stop1 Stop node of the first graph
- * @param stop2 Stop node of the second graph
+ * @param e1 Evaluator for the first graph
+ * @param e2 Evaluator for the second graph
* @param in The input value to both graphs to test for an equal output
*/
- private static void checkGraphs(StopNode stop1, StopNode stop2, long in) {
- var e1 = GraphEvaluator.evaluateWithResult(stop1, in, EVAL_TIMEOUT);
- var e2 = GraphEvaluator.evaluateWithResult(stop2, in, EVAL_TIMEOUT);
- if (e1.type() == GraphEvaluator.ResultType.TIMEOUT || e2.type() == GraphEvaluator.ResultType.TIMEOUT) return;
- if (e1.type() != e2.type())
- throw new RuntimeException("Different calculations types " + e1.type() + " vs " + e2.type());
- if (e1.value() != e2.value())
- throw new RuntimeException("Different calculations values " + e1.value() + " vs " + e2.value());
+ private static void checkGraphs(Evaluator e1, Evaluator e2, long in) {
+ var r1 = e1.evaluate(in, EVAL_TIMEOUT);
+ var r2 = e2.evaluate(in, EVAL_TIMEOUT);
+ if (r1 == Evaluator.Status.TIMEOUT || r2 == Evaluator.Status.TIMEOUT) return;
+ if (neq(r1, r2))
+ throw new RuntimeException("Different calculations values " + r1 + " vs " + r2);
}
/**
@@ -91,9 +104,11 @@ public class Fuzzer {
throw e1;
}
var stop2 = FuzzerUtils.parse(script, 456);
- checkGraphs(stop1, stop2, 0);
- checkGraphs(stop1, stop2, 1);
- checkGraphs(stop1, stop2, 10);
+ var e1 = new Evaluator(stop1);
+ var e2 = new Evaluator(stop2);
+ checkGraphs(e1, e2, 0);
+ checkGraphs(e1, e2, 1);
+ checkGraphs(e1, e2, 10);
}
/**
@@ -101,11 +116,11 @@ public class Fuzzer {
* @param script The script to test.
* @param valid If the script is valid or if it might contain syntax errors.
*/
- private void check(String script, boolean valid) {
+ private void check(String script, boolean valid, long seed) {
try {
runCheck(script, valid);
} catch (Throwable e) {
- recordException(e, script, s->runCheck(s, valid));
+ recordException(e, script, s->runCheck(s, valid), seed);
}
}
@@ -155,8 +170,8 @@ public class Fuzzer {
public void fuzzPeeps(long seed) {
var rand = new Random(seed);
var sb = new StringBuilder();
- var valid = new ScriptGenerator(rand, sb, false).genProgram();
- check(sb.toString(), valid);
+ var valid = new ScriptGenerator(rand, sb, true).genProgram();
+ check(sb.toString(), valid, seed);
}
@@ -172,7 +187,7 @@ public class Fuzzer {
public void fuzzPeepsRegression(long seed) {
var rand = new Random(seed);
var sb = new StringBuilder();
- var valid = new ScriptGenerator(rand, sb, false).genProgram();
+ var valid = new ScriptGenerator(rand, sb, true).genProgram();
try {
runCheck(sb.toString(), valid);
} catch (Throwable e) {
diff --git a/src/test/java/com/seaofnodes/simple/fuzzer/FuzzerUtils.java b/src/test/java/com/seaofnodes/simple/fuzzer/FuzzerUtils.java
index 6488297b..f947a234 100644
--- a/src/test/java/com/seaofnodes/simple/fuzzer/FuzzerUtils.java
+++ b/src/test/java/com/seaofnodes/simple/fuzzer/FuzzerUtils.java
@@ -18,7 +18,7 @@ import java.util.BitSet;
class FuzzerUtils {
/**
- * Get the value of a private field
+ * Get the val of a private field
*/
@SuppressWarnings("unchecked")
public static <T> T getFieldValue(Object obj, String name) throws NoSuchFieldException, IllegalAccessException {
@@ -76,10 +76,12 @@ class FuzzerUtils {
}
/**
- * Check that eiter one of the objects is null or that both are equal.
+ * Check that the messages are similar.
*/
- private static boolean equalOrNull(Object a, Object b) {
+ private static boolean similarMessages(String a, String b) {
if (a == null || b == null) return true;
+ a = a.replaceAll("'\\w+'", "'normalized'").replaceAll("variable \\w+", "variable normalized");
+ b = b.replaceAll("'\\w+'", "'normalized'").replaceAll("variable \\w+", "variable normalized");
return a.equals(b);
}
@@ -98,7 +100,7 @@ class FuzzerUtils {
public static boolean isExceptionFromSameCause(Throwable a, Throwable b) {
if (a == null || b == null) return a == b; // Handle the null case
if (a.getClass() != b.getClass()) return false; // Different classes
- if (!equalOrNull(a.getMessage(), b.getMessage())) return false; // Different messages. Null is allowed as wildcard
+ if (!similarMessages(a.getMessage(), b.getMessage())) return false; // Different messages. Null is allowed as wildcard
var s1 = a.getStackTrace();
var s2 = b.getStackTrace();
if (!sameStackTraceOrigin(s1, s2)) return false; // Different stack trace origins
diff --git a/src/test/java/com/seaofnodes/simple/fuzzer/Reducer.java b/src/test/java/com/seaofnodes/simple/fuzzer/Reducer.java
index 2ef0a3fd..3731b40c 100644
--- a/src/test/java/com/seaofnodes/simple/fuzzer/Reducer.java
+++ b/src/test/java/com/seaofnodes/simple/fuzzer/Reducer.java
@@ -1,7 +1,10 @@
package com.seaofnodes.simple.fuzzer;
+import java.util.Arrays;
+import java.util.function.BiConsumer;
import java.util.function.Consumer;
import java.util.function.Predicate;
+import java.util.regex.Matcher;
import java.util.regex.Pattern;
/**
@@ -13,35 +16,45 @@ import java.util.regex.Pattern;
*/
public class Reducer {
+ private interface Replacer extends BiConsumer<StringBuilder, Matcher> {}
+
/**
* Holder for the rewrite rules
*/
- private record Replace(Pattern p, String r) {}
+ private record Replace(Pattern pattern, boolean iterate, Replacer... replacements) {
+ Replace(Pattern p, Object... replacements) {
+ this(p, replacements[0] == Boolean.TRUE, Arrays.stream(replacements).filter(o->!(o instanceof Boolean)).map(Replace::from).toArray(Replacer[]::new));
+ }
+ private static Replacer from(Object o) {
+ if (o instanceof Replacer r) return r;
+ if (o instanceof Integer i) return (s, m)->s.append(m.group(i));
+ if (o instanceof String r) return (s, m)->s.append(r);
+ throw new IllegalArgumentException();
+ }
+ }
/**
* List of rewrite rules.
*/
private static final Replace[] REPLACEMENTS = {
+ new Replace(Pattern.compile("\\b(?:[^\\W0]|\\w\\w+)\\b"), "0", "1"),
+ new Replace(Pattern.compile("(?<=\\n|^)[^\\n]+(?=\\n|$)"), true, ""),
new Replace(Pattern.compile("(?<=[+\\-*/<>=(])--"), ""),
new Replace(Pattern.compile("\\b--"), "+"),
- new Replace(Pattern.compile("\\b\\+-"), "-"),
- new Replace(Pattern.compile("\\bfalse\\b"), "0"),
- new Replace(Pattern.compile("\\btrue\\b"), "1"),
new Replace(Pattern.compile("-"), ""),
+ new Replace(Pattern.compile("\\b\\+-"), "-"),
new Replace(Pattern.compile("(?<![+\\-*/<>=])(?:-|\\*|/|>=|<=|>|<|!=|==)(?![+\\-*/<>=])"), "+"),
- new Replace(Pattern.compile("\\{(?:[^{}]|\\{})+}"), "{}"),
- new Replace(Pattern.compile("\\{((?:[^{}]|\\{})+)}"), "$1"),
- new Replace(Pattern.compile("\\(([^()]+)\\)"), "$1"),
- new Replace(Pattern.compile("\\b\\w+\\b"), "0"),
- new Replace(Pattern.compile("\\b(?:[^\\W0]|\\w\\w+)\\b"), "1"),
+ new Replace(Pattern.compile("\\{((?:[^{}]|\\{})+)(?:\\n[ \\t]*)?}"), "", "{}", 1),
+ new Replace(Pattern.compile("(?<=\\n|^)([ \\t]*)\\{\\n(.*?)\\n\\1}", Pattern.DOTALL), 2),
+ new Replace(Pattern.compile("\\(([^()]+)\\)"), 1),
new Replace(Pattern.compile("\\d+\\+"), ""),
new Replace(Pattern.compile("\\+\\d+"), ""),
- new Replace(Pattern.compile("(?<=\\n|^)[^\\n]*(?=\\n|$)"), "\n"),
- new Replace(Pattern.compile("\\n+"), "\n"),
+ new Replace(Pattern.compile("\\n\\n+"), "\n"),
new Replace(Pattern.compile("^\\n+|\\n+$"), ""),
new Replace(Pattern.compile("else *"), ""),
new Replace(Pattern.compile("\\bif\\([^()]+\\) *"), ""),
new Replace(Pattern.compile("\\bwhile\\([^()]+\\) *"), ""),
+ new Replace(Pattern.compile("\\bstruct \\w+ \\{[^{}]*}"), "")
};
/**
@@ -60,24 +73,31 @@ public class Reducer {
/**
* Rewrites the script with one rewrite rule.
*/
- private String doReplacement(String script, Pattern pattern, String with) {
+ private String doReplacement(String script, Pattern pattern, Replacer[] replacements) {
var matcher = pattern.matcher(script);
var sb = new StringBuilder();
- int last = 0;
- while (matcher.find()) {
+ var last = 0;
+ var skip = 0;
+ outer:
+ while (matcher.find(last + skip)) {
+ sb.append(script, last, matcher.start());
+ last = matcher.end();
+ skip = last == matcher.start() ? 1 : 0;
var pos = sb.length();
- matcher.appendReplacement(sb, with);
- var tail = sb.length();
- matcher.appendTail(sb);
- if (tester.test(sb.toString())) {
- sb.setLength(tail);
- } else {
+ for (var replacement : replacements) {
+ replacement.accept(sb, matcher);
+ var tail = sb.length();
+ sb.append(script, last, script.length());
+ if (tester.test(sb.toString())) {
+ sb.setLength(tail);
+ continue outer;
+ }
sb.setLength(pos);
- sb.append(script, last, matcher.end());
}
- last = matcher.end();
+ last = matcher.start();
+ skip = 1;
}
- matcher.appendTail(sb);
+ sb.append(script, last, script.length());
return sb.toString();
}
@@ -85,13 +105,21 @@ public class Reducer {
* Clean up variable names from the random ones generated by the fuzzer.
*/
private String cleanVariables(String script) {
- var matcher = Pattern.compile("\\bint ([0-9a-zA-Z_]+)").matcher(script);
- int num = 0;
+ var matcher = Pattern.compile("\\b([0-9a-zA-Z_]+) ([0-9a-zA-Z_]+)").matcher(script);
+ int[] num = {0, 0};
while (matcher.find()) {
- var var = matcher.group(1);
- if (var.matches("v\\d+")) continue;
- while (script.contains("v"+num)) num++;
- var n = script.replaceAll("\\b"+var+"\\b", "v" + num);
+ var type = matcher.group(1);
+ var var = matcher.group(2);
+ if (type.equals("new")) continue;
+ String prefix = "v";
+ int t = 0;
+ if (type.equals("struct")) {
+ t = 1;
+ prefix = "s";
+ }
+ if (var.matches(prefix+"\\d+")) continue;
+ while (script.contains(prefix+num[t])) num[t]++;
+ var n = script.replaceAll("\\b"+var+"\\b", prefix + num[t]);
if (tester.test(n)) {
script = n;
}
@@ -104,7 +132,11 @@ public class Reducer {
*/
private String doAllReplacements(String script) {
for (var replace: REPLACEMENTS) {
- script = doReplacement(script, replace.p, replace.r);
+ String old;
+ do {
+ old = script;
+ script = doReplacement(script, replace.pattern, replace.replacements);
+ } while (replace.iterate && !old.equals(script));
}
return script;
}
diff --git a/src/test/java/com/seaofnodes/simple/fuzzer/ScriptGenerator.java b/src/test/java/com/seaofnodes/simple/fuzzer/ScriptGenerator.java
index ad98f7e2..155063ab 100644
--- a/src/test/java/com/seaofnodes/simple/fuzzer/ScriptGenerator.java
+++ b/src/test/java/com/seaofnodes/simple/fuzzer/ScriptGenerator.java
@@ -6,6 +6,7 @@ import com.seaofnodes.simple.node.ScopeNode;
import java.util.ArrayList;
import java.util.HashSet;
import java.util.Random;
+import java.util.function.Predicate;
/**
* Generate a pseudo random script.
@@ -15,6 +16,13 @@ import java.util.Random;
*/
public class ScriptGenerator {
+ private static final int MAX_STATEMENTS_PER_BLOCK = 5;
+ private static final int MAX_BINARY_EXPRESSIONS_PER_EXPRESSION = 10;
+ private static final int MAX_UNARY_EXPRESSIONS_PER_EXPRESSION = 6;
+ private static final int MAX_NAME_LENGTH = 10;
+ private static final int MAX_BLOCK_DEPTH = 4;
+ private static final int MAX_EXPRESSION_DEPTH = 10;
+
/**
* Number of spaces per indentation
*/
@@ -53,6 +61,51 @@ public class ScriptGenerator {
*/
private static final String[] UNARY_OP = {"-"};
+ private static class Type {
+ final String name;
+ Type(String name) {this.name=name;}
+ boolean isa(Type other) { return this == other; }
+ }
+
+ private static class TypeStruct extends Type {
+ record Field (String name, Type type) {}
+ final Field[] fields;
+ final TypeNullable nullable = new TypeNullable(this);
+ TypeStruct(String name, Field[] fields) {
+ super(name);
+ this.fields = fields;
+ }
+ boolean isa(Type other) { return this == other || other == nullable; }
+ }
+
+ private static class TypeNullable extends Type {
+
+ final Type base;
+
+ TypeNullable(Type base) {
+ super(base.name+"?");
+ this.base = base;
+ }
+
+ }
+
+ private static final Type TYPE_INT = new Type("int");
+
+
+ private static class Variable {
+ final String name;
+ final Type declared;
+ final Variable shadowing;
+ Type type;
+ boolean shadowed = false;
+
+ Variable(String name, Type type, Variable var) {
+ this.name = name;
+ this.declared = type;
+ this.type = type;
+ this.shadowing = var;
+ }
+ }
/**
* The random number generator used for random decisions.
@@ -77,24 +130,33 @@ public class ScriptGenerator {
/**
* The depth of blocks allowed.
*/
- private int depth = 20;
+ private int depth = MAX_BLOCK_DEPTH;
/**
* The depth of expressions allowed.
*/
- private int exprDepth = 30;
+ private int exprDepth = MAX_EXPRESSION_DEPTH;
/**
* Current variables in scope.
*/
- private final ArrayList<String> variables = new ArrayList<>();
+ private final ArrayList<Variable> variables = new ArrayList<>();
+ /**
+ * All defined structs.
+ */
+ private final ArrayList<TypeStruct> structs = new ArrayList<>();
+ /**
+ * Allow to declare structs.
+ */
+ private boolean allowStructs = true;
/**
* If this needs to generate valid scripts or is also allowed to generate invalid ones.
*/
- private final boolean generateValid;
+ private boolean generateValid;
/**
* If this script might be invalid.
*/
private boolean maybeInvalid = false;
+
/**
*
* @param random the random number generator.
@@ -135,7 +197,7 @@ public class ScriptGenerator {
* @return The random name generated
*/
private StringBuilder getRandomName() {
- int len = random.nextInt(30) + 1;
+ int len = random.nextInt(MAX_NAME_LENGTH) + 1;
StringBuilder sb = new StringBuilder(len);
sb.append(VAR_CHARS.charAt(random.nextInt(VAR_CHARS.length()-10)));
for (int i=1; i<len; i++)
@@ -144,6 +206,90 @@ public class ScriptGenerator {
}
/**
+ * Should invalid code be generated?
+ * @return True if invalid code should be generated
+ */
+ private boolean generateInvalid() {
+ if (generateValid || random.nextInt(1000)>2) return false;
+ maybeInvalid = true;
+ return true;
+ }
+
+ /**
+ * Lookup a variable by name
+ * @param name name of the variable
+ * @return The index of the variable in variables or -1
+ */
+ private int lookup(String name) {
+ for (int i=variables.size()-1; i>=0; i--) {
+ if (variables.get(i).name.equals(name)) return i;
+ }
+ return -1;
+ }
+
+ /**
+ * Lookup a variable by name
+ * @param name name of the variable
+ * @return THe variable of null if not found
+ */
+ private Variable lookupVar(String name) {
+ int idx = lookup(name);
+ return idx == -1 ? null : variables.get(idx);
+ }
+
+ /**
+ * Add a variable to the current scope
+ * @param name The name of the variable
+ * @param type The declared type of the variable
+ */
+ private void addVariable(String name, Type type) {
+ var old = lookupVar(name);
+ variables.add(new Variable(name, type, old));
+ if (old != null) old.shadowed = true;
+ }
+
+ /**
+ * Pop variables to level to
+ * @param to Level until which variables should be popped
+ */
+ private void popVariables(int to) {
+ while (variables.size() > to) {
+ var v = variables.removeLast();
+ if (v.shadowing != null) v.shadowing.shadowed = false;
+ }
+ }
+
+ /**
+ * Get a random visible variable patching pred
+ * @param pred The predicate the variable needs to match
+ * @return A random visible variable matching pred or null if no variable mached pred.
+ */
+ private Variable findVisibleVariablesMatching(Predicate<Variable> pred) {
+ int num=0;
+ for (var v:variables) {
+ if (!v.shadowed && pred.test(v)) num++;
+ }
+ if (num == 0) return null;
+ num = random.nextInt(num);
+ for (var v:variables) {
+ if (!v.shadowed && pred.test(v) && num-- == 0) return v;
+ }
+ throw new AssertionError();
+ }
+
+ /**
+ * Get a structure by name
+ * @param name Name of the structure
+ * @return The structure of null
+ */
+ private TypeStruct getStruct(String name) {
+ for (var s:structs) {
+ if (s.name.equals(name)) return s;
+ }
+ return null;
+ }
+
+ /**
* Generate a variable name. This might be new random name or a name from an outer scope.
* If the program is allowed to be invalid this can return keywords and already used variable names in the current scope.
* @return The variable name.
@@ -152,35 +298,67 @@ public class ScriptGenerator {
if (currScopeStart > 0 && random.nextInt(10) > 7) {
// Use a variable outside the current scope.
var v = variables.get(random.nextInt(currScopeStart));
- if (variables.lastIndexOf(v) < currScopeStart) return v;
+ if (lookup(v.name) < currScopeStart) return v.name;
if (!generateValid) {
maybeInvalid = true;
- return v;
+ return v.name;
}
}
// Generate a new random variable name
StringBuilder sb = getRandomName();
var v = sb.toString();
- if (!generateValid && (KEYWORDS.contains(v) || variables.lastIndexOf(v) >= currScopeStart)) {
+ if (!generateValid && (KEYWORDS.contains(v) || lookup(v) >= currScopeStart)) {
maybeInvalid = true;
return v;
}
- while (KEYWORDS.contains(v) || variables.lastIndexOf(v) >= currScopeStart) {
+ while (KEYWORDS.contains(v) || lookup(v) >= currScopeStart) {
sb.append(VAR_CHARS.charAt(random.nextInt(VAR_CHARS.length())));
v = sb.toString();
}
return v;
}
+ /**
+ * Get a random structure name
+ * @return A random structure name
+ */
+ private String getStructName() {
+ if (!structs.isEmpty() && generateInvalid()) return structs.get(random.nextInt(structs.size())).name;
+ // Generate a new random struct name
+ StringBuilder sb = getRandomName();
+ var v = sb.toString();
+ if (!generateValid && (KEYWORDS.contains(v) || getStruct(v) != null)) {
+ maybeInvalid = true;
+ return v;
+ }
+ while (KEYWORDS.contains(v) || getStruct(v) != null) {
+ sb.append(VAR_CHARS.charAt(random.nextInt(VAR_CHARS.length())));
+ v = sb.toString();
+ }
+ return v;
+ }
+ /**
+ * Get a random type
+ * @return A random type
+ */
+ private Type getType() {
+ if (structs.isEmpty() || random.nextBoolean()) return TYPE_INT;
+ var idx = random.nextInt(structs.size());
+ TypeStruct struct = structs.get(idx);
+ if (random.nextBoolean()) return struct.nullable;
+ return struct;
+ }
/**
* Generates a program and writes it into the string builder supplied in the constructor.
* @return If the program is allowed to be invalid returns if something potentially invalid was generated.
*/
public boolean genProgram() {
+ var oldGenerateValid = generateValid;
+ if (!generateValid && random.nextBoolean()) generateValid = true;
this.maybeInvalid = false;
- variables.add(ScopeNode.ARG0);
+ addVariable(ScopeNode.ARG0, TYPE_INT);
currScopeStart = variables.size();
if ((genStatements() & FLAG_STOP) == 0) {
if (generateValid || random.nextInt(10)<7) {
@@ -189,6 +367,7 @@ public class ScriptGenerator {
this.maybeInvalid = true;
}
}
+ generateValid = oldGenerateValid;
return !this.maybeInvalid;
}
@@ -197,7 +376,7 @@ public class ScriptGenerator {
* @return flags FLAG_STOP and FLAG_IF_WITHOUT_ELSE for the last statement generated
*/
public int genStatements() {
- var num = random.nextInt(10); // (30);
+ var num = random.nextInt(MAX_STATEMENTS_PER_BLOCK * (depth+1));
for (int i=0; i<num; i++) {
printIndentation();
var stop = genStatement();
@@ -212,29 +391,55 @@ public class ScriptGenerator {
* @return flags FLAG_STOP and FLAG_IF_WITHOUT_ELSE for the generated statement
*/
public int genStatement() {
- return switch (random.nextInt(10)) {
+ return switch (random.nextInt(12)) {
+ case 0 -> allowStructs || generateInvalid() ? genStruct() : genAssignment();
case 1 -> genBlock();
case 2 -> genIf();
- case 3 -> genWhile();
- case 4, 5 -> genDecl();
- case 6, 7, 8 -> genAssignment();
+ case 3 -> genCountedLoop();
+ case 4 -> genWhile();
+ case 5, 6 -> genDecl();
+ case 7, 8, 9 -> genAssignment();
+ case 10 -> genNullCheck();
default -> genExit();
};
}
/**
+ * Generate a new structure
+ * @return 0
+ */
+ public int genStruct() {
+ var name = getStructName();
+ var fields = new TypeStruct.Field[generateInvalid() ? 0 : random.nextInt(10)];
+ sb.append("struct ").append(name).append(" {\n");
+ indentation += INDENTATION;
+ for (int i=0; i<fields.length; i++) {
+ var fieldName = getRandomName();
+ var type = generateInvalid() ? getType() : TYPE_INT;
+ printIndentation().append(type.name).append(" ").append(fieldName).append(";\n");
+ fields[i] = new TypeStruct.Field(fieldName.toString(), type);
+ }
+ indentation -= INDENTATION;
+ printIndentation().append("}");
+ structs.add(new TypeStruct(name, fields));
+ return 0;
+ }
+
+ /**
* Generate a statement for if, else and while blocks.
* This is special since it disallows declarations and prefers to generate blocks.
* @return flags FLAG_STOP and FLAG_IF_WITHOUT_ELSE for the generated statement
*/
public int genStatementBlock() {
+ var oldAllowStructs = allowStructs;
+ allowStructs = false;
indentation += INDENTATION;
int res;
if (depth == 0) {
res = random.nextBoolean() ? genAssignment() : genExit();
} else {
depth--;
- res = switch (random.nextInt(10)) {
+ res = switch (random.nextInt(12)) {
case 1, 2, 3, 4, 5 -> {
depth++;
indentation -= INDENTATION;
@@ -244,13 +449,16 @@ public class ScriptGenerator {
yield ret;
}
case 6 -> genIf();
- case 7 -> genWhile();
- case 8 -> genAssignment();
+ case 7 -> genCountedLoop();
+ case 8 -> genWhile();
+ case 9 -> genAssignment();
+ case 10 -> genNullCheck();
default -> genExit();
};
depth++;
}
indentation -= INDENTATION;
+ allowStructs = oldAllowStructs;
return res;
}
@@ -284,18 +492,20 @@ public class ScriptGenerator {
sb.append("{}");
return 0;
}
- depth--;
- int oldCSS = currScopeStart;
+ var oldAllowStructs = allowStructs;
+ var oldCSS = currScopeStart;
+ allowStructs = false;
currScopeStart = variables.size();
+ depth--;
sb.append("{\n");
indentation += INDENTATION;
var stop = genStatements();
indentation -= INDENTATION;
printIndentation().append("}");
- while (variables.size() > currScopeStart)
- variables.removeLast();
- currScopeStart = oldCSS;
+ popVariables(currScopeStart);
depth++;
+ currScopeStart = oldCSS;
+ allowStructs = oldAllowStructs;
return stop & ~FLAG_IF_WITHOUT_ELSE;
}
@@ -305,7 +515,7 @@ public class ScriptGenerator {
*/
public int genIf() {
sb.append("if(");
- genExpression();
+ genExpression(TYPE_INT);
sb.append(") ");
var stop = genStatementBlock();
if ((stop & FLAG_IF_WITHOUT_ELSE) == 0 && random.nextInt(10) > 3) {
@@ -319,12 +529,39 @@ public class ScriptGenerator {
}
/**
+ * Generate a block with a null check
+ * if (nullable) { handle_nullable_as_non_nullable; }
+ */
+ public int genNullCheck() {
+ var v = findVisibleVariablesMatching(va->va.declared instanceof TypeNullable);
+ if (v == null) return genIf();
+ var n = (TypeNullable)v.declared;
+ boolean negate = random.nextBoolean();
+ sb.append("if(");
+ if (negate) sb.append("!");
+ sb.append(v.name).append(")");
+ if (!negate) v.type = n.base;
+ var stop = genStatementBlock();
+ v.type = n;
+ if ((stop & FLAG_IF_WITHOUT_ELSE) == 0 && random.nextInt(10) > 3) {
+ sb.append("\n");
+ printIndentation().append("else ");
+ if (negate) v.type = n.base;
+ stop &= genStatementBlock();
+ v.type = n;
+ } else {
+ stop = FLAG_IF_WITHOUT_ELSE;
+ }
+ return stop;
+ }
+
+ /**
* Generate a while loop.
* @return 0
*/
public int genWhile() {
sb.append("while(");
- genExpression();
+ genExpression(TYPE_INT);
sb.append(") ");
loopDepth++;
genStatementBlock();
@@ -333,15 +570,61 @@ public class ScriptGenerator {
}
/**
+ * Generate a counted loop of the form
+ * <code>
+ * {
+ * int varname = start_expr;
+ * while (varname < end_expr) loop_body;
+ * }
+ * </code>
+ * @return 0
+ */
+ public int genCountedLoop() {
+ if (depth == 0) return genWhile();
+ var oldCSS = currScopeStart;
+ currScopeStart = variables.size();
+ sb.append("{\n");
+ indentation += INDENTATION;
+ String name = getVarName();
+ printIndentation().append("int ").append(name).append("=");
+ genExpression(TYPE_INT);
+ sb.append(";\n");
+ addVariable(name, TYPE_INT);
+ printIndentation().append("while(").append(name).append("<");
+ genExpression(TYPE_INT);
+ sb.append(") {\n");
+ indentation += INDENTATION;
+ depth--;
+ loopDepth++;
+ printIndentation().append(name).append("=").append(name).append("+");
+ genExpression(TYPE_INT);
+ sb.append(";\n");
+ genStatements();
+ loopDepth--;
+ depth++;
+ indentation -= INDENTATION;
+ printIndentation().append("}\n");
+ indentation -= INDENTATION;
+ printIndentation().append("}");
+ popVariables(currScopeStart);
+ currScopeStart = oldCSS;
+ return 0;
+ }
+
+ /**
* Generate a declaration statement.
* @return 0
*/
public int genDecl() {
- String name = getVarName();
- sb.append("int ").append(name).append("=");
- genExpression();
+ var type = getType();
+ var name = getVarName();
+ sb.append(generateInvalid() ? getRandomName() : type.name).append(" ").append(name);
+ if (!(type instanceof TypeNullable) || random.nextBoolean()) {
+ sb.append("=");
+ genExpression(type);
+ }
sb.append(";");
- variables.add(name);
+ addVariable(name, type);
return 0;
}
@@ -350,10 +633,30 @@ public class ScriptGenerator {
* @return 0
*/
public int genAssignment() {
- if (variables.isEmpty()) return genDecl();
- genVariable();
+ Type type;
+ Type declared;
+ if (generateInvalid()) {
+ sb.append(getRandomName());
+ type = getType();
+ declared = type;
+ } else {
+ var v = findVisibleVariablesMatching(va->true);
+ if (v == null) return genDecl();
+ sb.append(v.name);
+ type = v.type;
+ declared = v.declared;
+ }
+ if (generateInvalid()) {
+ var name = getRandomName();
+ sb.append(".").append(name);
+ declared = getType();
+ } else if (type instanceof TypeStruct s && s.fields.length > 0 && random.nextBoolean()) {
+ var field = s.fields[random.nextInt(s.fields.length)];
+ sb.append(".").append(field.name);
+ declared = field.type;
+ }
sb.append("=");
- genExpression();
+ genExpression(declared);
sb.append(";");
return 0;
}
@@ -363,94 +666,127 @@ public class ScriptGenerator {
* @return FLAG_STOP
*/
public int genReturn() {
+ var type = getType();
sb.append("return ");
- genExpression();
+ genExpression(type);
sb.append(";");
return FLAG_STOP;
}
-
/**
* Generate a binary expression.
* This method does not care about operator precedence.
*/
- public void genExpression() {
- var num = randLog(10);
+ public void genExpression(Type type) {
+ if (generateInvalid()) type = getType();
+ if (type != TYPE_INT) {
+ genUnary(type);
+ return;
+ }
+ var num = randLog(MAX_BINARY_EXPRESSIONS_PER_EXPRESSION);
while(num-->0) {
- genUnary();
+ genUnary(TYPE_INT);
sb.append(BINARY_OP[random.nextInt(BINARY_OP.length)]);
}
- genUnary();
+ genUnary(TYPE_INT);
}
/**
* Generate a unary expression.
*/
- public void genUnary() {
- var num = randLog(6);
+ public void genUnary(Type type) {
+ if (generateInvalid()) type = getType();
+ if (type != TYPE_INT) {
+ genSuffix(type);
+ return;
+ }
+ var num = randLog(MAX_UNARY_EXPRESSIONS_PER_EXPRESSION);
while(num-->0) {
sb.append(UNARY_OP[random.nextInt(UNARY_OP.length)]);
}
- genPrimary();
+ genSuffix(TYPE_INT);
+ }
+
+ /**
+ * Generate
+ */
+ public void genSuffix(Type type) {
+ if (generateInvalid()) type = getType();
+ if (type == TYPE_INT && random.nextBoolean()) {
+ var t = getType();
+ if (generateInvalid()) {
+ var field = getRandomName();
+ genPrimary(t);
+ sb.append(".").append(field);
+ return;
+ } else if (t instanceof TypeStruct s && s.fields.length > 0) {
+ var field = s.fields[random.nextInt(s.fields.length)];
+ if (field.type == TYPE_INT) {
+ genPrimary(t);
+ sb.append(".").append(field.name);
+ return;
+ }
+ }
+ }
+ genPrimary(type);
}
/**
* Generate a primary expression.
*/
- public void genPrimary() {
- switch (random.nextInt(10)) {
- case 0:
- sb.append("true");
- break;
- case 1:
- sb.append("false");
- break;
- case 2:
- if (exprDepth == 0) {
- // Ensure termination of the generator.
- if (random.nextBoolean()) {
- genNumber();
- } else {
- genVariable();
- }
- } else {
- sb.append("(");
- exprDepth--;
- genExpression();
- exprDepth++;
- sb.append(")");
- }
- break;
- case 3, 4, 5, 6:
- genNumber();
- break;
- default:
- genVariable();
+ public void genPrimary(Type type) {
+ if (generateInvalid()) type = getType();
+ var rand = random.nextInt(10);
+ if (rand == 0 && exprDepth != 0) {
+ sb.append("(");
+ exprDepth--;
+ genExpression(type);
+ exprDepth++;
+ sb.append(")");
+ } else if (rand < 6) {
+ genVariable(type);
+ } else {
+ genConst(type);
}
}
/**
- * Generate a number.
+ * Generate a constant.
*/
- public void genNumber() {
- sb.append(random.nextInt(100));
+ public void genConst(Type type) {
+ if (generateInvalid()) type = getType();
+ if (type == TYPE_INT) {
+ var rand = random.nextInt(10);
+ switch (rand) {
+ case 0 -> sb.append("true");
+ case 1 -> sb.append("false");
+ default -> sb.append(random.nextInt(1<<(rand-2)));
+ }
+ } else if (type instanceof TypeNullable n) {
+ if (random.nextBoolean()) {
+ sb.append("null");
+ } else {
+ sb.append("new ").append(generateInvalid() ? getRandomName() : n.base.name);
+ }
+ } else {
+ sb.append("new ").append(generateInvalid() ? getRandomName() : type.name);
+ }
}
/**
* Generate a variable. If there are none generate a number instead.
* If the program is allowed to be invalid a random name can be generated in some cases.
*/
- public void genVariable() {
- if (!generateValid && random.nextInt(100)>97) {
+ public void genVariable(Type type) {
+ if (generateInvalid()) {
sb.append(getRandomName());
- maybeInvalid = true;
return;
}
- if (variables.isEmpty()) {
- genNumber();
- } else {
- sb.append(variables.get(random.nextInt(variables.size())));
- }
+ if (generateInvalid()) type = getType();
+ var t = type;
+ var v = findVisibleVariablesMatching(va->va.type.isa(t));
+ if (v == null) genConst(type);
+ else sb.append(v.name);
}
}