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| author | Dibyendu Majumdar <dibyendumajumdar@users.noreply.github.com> | 2023-11-11 23:17:22 +0000 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2023-11-11 23:17:22 +0000 |
| commit | 1a9cac97df063af82516ca35bde34fde62d24c56 (patch) | |
| tree | 7bab31bac1cf890466b3f0884a0f59c784cc0027 /chapter06/docs | |
| parent | 077b25007cf8af3c3673d017625ea255bda87620 (diff) | |
| download | Simple-1a9cac97df063af82516ca35bde34fde62d24c56.tar.gz Simple-1a9cac97df063af82516ca35bde34fde62d24c56.zip | |
Chapter 6 (#38)
* #37 Create chapter 6 skeleton
* #37 Revise type system - TOP, BOTTOM, CONTROL are now directly implemented in Type, XCONTROL is a new type and that's implemented directly too.
We have a _type field that is like an enum.
* #37 Revise Type.meet() - this is now final.
Subclasses can override xmeet() which is protected but
now handles simple types in Type itself.
* #37 Basic test for peephole of CFG
* #37 Revise compute of if
* #37 Revise compute of if
* #37 WIP peephole of If
* #37 WIP peephole of If
* #37 WIP peephole of If
* #37 WIP peephole of If
* #37 WIP peephole of If
* #37 WIP fix the chars inserted by IntelliJ
* #37 WIP Fix compute type in IfNode
* #37 WIP Null check region inputs
* #37 WIP Fix where we choose great grand parent instead of grand parent
Add new test
* #37 WIP More fixes and tests
* #37 WIP Some minor adjustments
* Cleanup folding dead IF tests
Remove isDeadCtrl & just test for the constant.
Remove DEAD_CTRL, doesn't properly reset between tests.
Move keep/unkeep to Node.
PhiNode has a proper compute() call.
ProjNode ideal is a lot simpler.
Region doesn't ever get a null.
Move the mergeScopes Region peep till after all Phis are added.
Type TOP and XCONTROL count as constants.
TypeTuple gets a toString
* #37 WIP Upate README
* #37 WIP Region node should check if one of its inputs is a region that needs to be peepholed
* #37 WIP If node should check if its ctrl input is a Region that has only 1 live input so can be peepholed
* #37 WIP Further update to README to make the peephole logic clearer. Also discuss the relationship between Region and Phi nodes
* Region removes dead input paths
Remove region-folding in Return, If.
Add a Makefile.
Reformat triple-quote lines to be emacs-friendly.
* StopNode idealize
Return type sharpens to include control input.
* Remove !=, >=, >; use Not and <, <=, ==
Fix bug mixing rotating different ops.
Generalize Add fold constants; apply to Mul, EQ.
Fix Div.copy
* Fix bug rotating e.g. < or <=
Peep is only valid for associative ops
* #37 WIP Doc updates
* Work over the Ch6 Readme
Major issue: Region inputs align 1-to-1 with Phi inputs, but a Region can have zero to many Phis. When we lose a Region input (dead path), we need to lose the same inputs to each Phi - but we don't lose the Phis themselves, unless we're folding away down to the last live input.
* Update chapter06/README.md
Co-authored-by: Yichen Yan <oraluben@outlook.com>
* Update chapter06/README.md
Co-authored-by: Yichen Yan <oraluben@outlook.com>
* #37 Backport type system changes to chapter 2
* #37 Backport type system changes to chapter 3
* #37 Backport type system changes to chapter 4
* #37 Backport type system changes to chapter 5
* #37 Merge chapter 5 updates from main.
Remove language grammar module as we describe the grammar incrementally in each chapter.
* #37 Chapter 6 doc updates - added visuals to show effects of CFG peephole
* #37 Sync some updates to chapter 2
* #37 Sync some updates to chapter 3
* #37 Sync some updates to chapter 4
---------
Co-authored-by: Cliff Click <cliffc@acm.org>
Co-authored-by: Yichen Yan <oraluben@outlook.com>
Diffstat (limited to 'chapter06/docs')
22 files changed, 2076 insertions, 0 deletions
diff --git a/chapter06/docs/06-grammar.md b/chapter06/docs/06-grammar.md new file mode 100644 index 00000000..ea779a5a --- /dev/null +++ b/chapter06/docs/06-grammar.md @@ -0,0 +1,83 @@ +# Grammar for Chapter 6 + +```antlrv4 +grammar SimpleLanguage; + +program + : statement+ EOF + ; + +statement + : returnStatement + | declStatement + | blockStatment + | expressionStatement + | ifStatement + | metaStatement + ; + +ifStatement + : 'if' '(' expression ')' statement ('else' statement)? + ; + +metaStatement + : '#showGraph' ';' + ; + +expressionStatement + : IDENTIFIER '=' expression ';' + ; + +blockStatement + : '{' statement+ '}' + ; + +declStatement + : 'int' IDENTIFIER '=' expression ';' + ; + +returnStatement + : 'return' expression ';' + ; + +expression + : comparisonExpression + ; + +comparisonExpression + : additiveExpression (('==' | '!='| '>'| '<'| '>='| '<=') additiveExpression)* + ; + +additiveExpression + : multiplicativeExpression (('+' | '-') multiplicativeExpression)* + ; + +multiplicativeExpression + : unaryExpression (('*' | '/') unaryExpression)* + ; + +unaryExpression + : ('-') unaryExpression + | primaryExpression + ; + +primaryExpression + : IDENTIFIER + | INTEGER_LITERAL + | 'true' + | 'false' + | '(' expression ')' + ; + +INTEGER_LITERAL + : [1-9][0-9]* + | [0] + ; + +IDENTIFIER + : NON_DIGIT (NON_DIGIT | DIGIT)* + ; + +NON_DIGIT: [a-zA-Z_]; +DEC_DIGIT: [0-9]; +```
\ No newline at end of file diff --git a/chapter06/docs/06-graph1-post.gv b/chapter06/docs/06-graph1-post.gv new file mode 100644 index 00000000..59214346 --- /dev/null +++ b/chapter06/docs/06-graph1-post.gv @@ -0,0 +1,29 @@ +digraph chapter06 { +/* +if( true ) return 2; +return 1; + +*/ + rankdir=BT; + ordering="in"; + concentrate="true"; + subgraph cluster_Nodes { + Start2 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">Start</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">$ctrl</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Stop3 [ shape=box style=filled fillcolor=yellow label="Stop" ]; + Con_12 [ label="#2" ]; + Return13 [ shape=box style=filled fillcolor=yellow label="Return" ]; + } + edge [ fontname=Helvetica, fontsize=8 ]; + Stop3 -> Return13[taillabel=0 color=red]; + Return13 -> Start2:p0[taillabel=0 color=red]; + Return13 -> Con_12[taillabel=1]; +}
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+return 1; + +*/ + rankdir=BT; + ordering="in"; + concentrate="true"; + subgraph cluster_Nodes { + Start2 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">Start</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">$ctrl</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Stop3 [ shape=box style=filled fillcolor=yellow label="Stop" ]; + Con_6 [ label="#1" ]; + If7 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">If</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">True</TD><TD PORT="p1" BGCOLOR="yellow">False</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Con_11 [ label="#2" ]; + Return12 [ shape=box style=filled fillcolor=yellow label="Return" ]; + Con_13 [ label="#~CONTROL" ]; + Region14 [ shape=box style=filled fillcolor=yellow label="Region" ]; + Con_15 [ label="#1" ]; + Return16 [ shape=box style=filled fillcolor=yellow label="Return" ]; + { rank=same; Region14;} + } + edge [ fontname=Helvetica, fontsize=8 ]; + Stop3 -> Return12[taillabel=0 color=red]; + Stop3 -> Return16[taillabel=1 color=red]; + If7 -> Start2:p0[taillabel=0 color=red]; + If7 -> Con_6[taillabel=1]; + Return12 -> If7:p0[taillabel=0 color=red]; + Return12 -> Con_11[taillabel=1]; + Region14 -> Con_13[taillabel=1]; + Region14 -> If7:p1[taillabel=2 color=red]; + Return16 -> Region14[taillabel=0 color=red]; + Return16 -> Con_15[taillabel=1]; +}
\ No newline at end of file diff --git a/chapter06/docs/06-graph1-pre.svg b/chapter06/docs/06-graph1-pre.svg new file mode 100644 index 00000000..f80edcfc --- /dev/null +++ b/chapter06/docs/06-graph1-pre.svg @@ -0,0 +1,160 @@ +<?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 2.43.0 (0) + --> +<!-- Title: chapter06 Pages: 1 --> +<svg width="316pt" height="420pt" + viewBox="0.00 0.00 316.00 420.00" 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(4 416)"> +<title>chapter06</title> +<polygon fill="white" stroke="transparent" points="-4,4 -4,-416 312,-416 312,4 -4,4"/> +<g id="clust1" class="cluster"> +<title>cluster_Nodes</title> +<polygon fill="none" stroke="black" points="8,-8 8,-404 300,-404 300,-8 8,-8"/> +</g> +<!-- Start2 --> +<g id="node1" 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+</g> +<!-- If7->Con_6 --> +<g id="edge4" class="edge"> +<title>If7->Con_6</title> +<path fill="none" stroke="black" d="M92.2,-296.01C101.67,-309.86 112.66,-325.94 121.5,-338.87"/> +<polygon fill="black" stroke="black" points="118.7,-340.97 127.24,-347.25 124.48,-337.02 118.7,-340.97"/> +<text text-anchor="middle" x="89.2" y="-298.61" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Con_11 --> +<g id="node5" class="node"> +<title>Con_11</title> +<ellipse fill="none" stroke="black" cx="43" cy="-178" rx="27" ry="18"/> +<text text-anchor="middle" x="43" y="-174.3" font-family="Times,serif" font-size="14.00">#2</text> +</g> +<!-- Return12->If7 --> +<g id="edge5" class="edge"> +<title>Return12->If7:p0</title> +<path fill="none" stroke="red" d="M83.45,-124.21C85.4,-142.49 86.7,-172.01 79,-196 73.01,-214.66 56.37,-216.36 50.82,-229.83"/> +<polygon fill="red" stroke="red" points="47.32,-229.54 49,-240 54.21,-230.77 47.32,-229.54"/> +<text text-anchor="middle" x="80.45" y="-126.81" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Return12->Con_11 --> +<g id="edge6" class="edge"> +<title>Return12->Con_11</title> +<path fill="none" stroke="black" d="M71.61,-124.3C67.1,-132.6 61.63,-142.69 56.67,-151.81"/> +<polygon fill="black" stroke="black" points="53.46,-150.4 51.76,-160.86 59.61,-153.74 53.46,-150.4"/> +<text text-anchor="middle" x="68.61" y="-126.9" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Con_13 --> +<g id="node7" class="node"> +<title>Con_13</title> +<ellipse fill="none" stroke="black" cx="218" cy="-264" rx="74.19" ry="18"/> +<text text-anchor="middle" x="218" y="-260.3" font-family="Times,serif" font-size="14.00">#~CONTROL</text> +</g> +<!-- Region14 --> +<g id="node8" class="node"> +<title>Region14</title> +<polygon fill="yellow" stroke="black" points="190,-196 124,-196 124,-160 190,-160 190,-196"/> +<text text-anchor="middle" x="157" y="-174.3" font-family="Times,serif" font-size="14.00">Region</text> +</g> +<!-- Region14->If7 --> +<g id="edge8" class="edge"> +<title>Region14->If7:p1</title> +<path fill="none" stroke="red" d="M150.64,-196.06C144.08,-212.53 133.37,-236.39 122.96,-246.35"/> +<polygon fill="red" stroke="red" points="121.27,-243.29 114,-251 124.49,-249.5 121.27,-243.29"/> +<text text-anchor="middle" x="147.64" y="-198.66" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Region14->Con_13 --> +<g id="edge7" class="edge"> +<title>Region14->Con_13</title> +<path fill="none" stroke="black" d="M169.64,-196.4C178.34,-208.39 190.04,-224.5 199.75,-237.87"/> +<polygon fill="black" stroke="black" points="197.09,-240.16 205.79,-246.19 202.75,-236.04 197.09,-240.16"/> +<text text-anchor="middle" x="166.64" y="-199" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Con_15 --> +<g id="node9" class="node"> +<title>Con_15</title> +<ellipse fill="none" stroke="black" cx="235" cy="-178" rx="27" ry="18"/> +<text text-anchor="middle" x="235" y="-174.3" font-family="Times,serif" font-size="14.00">#1</text> +</g> +<!-- Return16->Region14 --> +<g id="edge9" class="edge"> +<title>Return16->Region14</title> +<path fill="none" stroke="red" d="M163.02,-124.3C162.14,-132.02 161.08,-141.29 160.1,-149.89"/> +<polygon fill="red" stroke="red" points="156.61,-149.56 158.95,-159.9 163.57,-150.36 156.61,-149.56"/> +<text text-anchor="middle" x="160.02" y="-126.9" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Return16->Con_15 --> +<g id="edge10" class="edge"> +<title>Return16->Con_15</title> +<path fill="none" stroke="black" d="M182.3,-124.3C191.72,-133.72 203.47,-145.47 213.47,-155.47"/> +<polygon fill="black" stroke="black" points="211.18,-158.12 220.72,-162.72 216.12,-153.18 211.18,-158.12"/> +<text text-anchor="middle" x="179.3" y="-126.9" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +</g> +</svg> diff --git a/chapter06/docs/06-graph2-post.gv b/chapter06/docs/06-graph2-post.gv new file mode 100644 index 00000000..dacd80fd --- /dev/null +++ b/chapter06/docs/06-graph2-post.gv @@ -0,0 +1,33 @@ +digraph chapter06 { +/* +int a=1; +if( true ) + a=2; +else + a=3; +return a; + +*/ + rankdir=BT; + ordering="in"; + concentrate="true"; + subgraph cluster_Nodes { + Return17 [ shape=box style=filled fillcolor=yellow label="Return" ]; + Start2 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">Start</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">$ctrl</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Stop3 [ shape=box style=filled fillcolor=yellow label="Stop" ]; + Con_13 [ label="#2" ]; + } + edge [ fontname=Helvetica, fontsize=8 ]; + Return17 -> Start2:p0[taillabel=0 color=red]; + Return17 -> Con_13[taillabel=1]; + Stop3 -> Return17[taillabel=0 color=red]; +}
\ No newline at end of file diff --git a/chapter06/docs/06-graph2-post.svg b/chapter06/docs/06-graph2-post.svg new file mode 100644 index 00000000..269eb15c --- /dev/null +++ b/chapter06/docs/06-graph2-post.svg @@ -0,0 +1,67 @@ +<?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 2.43.0 (0) + --> +<!-- Title: chapter06 Pages: 1 --> +<svg width="178pt" height="248pt" + viewBox="0.00 0.00 178.00 248.00" 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(4 244)"> +<title>chapter06</title> +<polygon fill="white" stroke="transparent" points="-4,4 -4,-244 174,-244 174,4 -4,4"/> +<g id="clust1" class="cluster"> +<title>cluster_Nodes</title> +<polygon fill="none" stroke="black" points="8,-8 8,-232 162,-232 162,-8 8,-8"/> +</g> +<!-- Return17 --> +<g id="node1" class="node"> +<title>Return17</title> +<polygon fill="yellow" stroke="black" points="118,-124 52,-124 52,-88 118,-88 118,-124"/> +<text text-anchor="middle" x="85" y="-102.3" font-family="Times,serif" font-size="14.00">Return</text> +</g> +<!-- Start2 --> +<g id="node2" class="node"> +<title>Start2</title> +<polygon fill="yellow" stroke="transparent" points="24,-195 24,-220 74,-220 74,-195 24,-195"/> +<polygon fill="none" stroke="black" points="24,-195 24,-220 74,-220 74,-195 24,-195"/> +<text text-anchor="start" x="30.5" y="-203.8" font-family="Times,serif" font-size="14.00">Start</text> +<polygon fill="none" stroke="black" points="24,-164 24,-195 74,-195 74,-164 24,-164"/> +<polygon fill="yellow" stroke="transparent" points="29,-169 29,-190 69,-190 69,-169 29,-169"/> +<polygon fill="none" stroke="black" points="29,-169 29,-190 69,-190 69,-169 29,-169"/> +<text text-anchor="start" x="32" y="-175.8" font-family="Times,serif" font-size="14.00">$ctrl</text> +</g> +<!-- Return17->Start2 --> +<g id="edge1" class="edge"> +<title>Return17->Start2:p0</title> +<path fill="none" stroke="red" d="M68.26,-124.13C60.77,-133.26 52.99,-145.23 50.13,-158.06"/> +<polygon fill="red" stroke="red" points="46.66,-157.67 49,-168 53.61,-158.46 46.66,-157.67"/> +<text text-anchor="middle" x="65.26" y="-126.73" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Con_13 --> +<g id="node4" class="node"> +<title>Con_13</title> +<ellipse fill="none" stroke="black" cx="127" cy="-192" rx="27" ry="18"/> +<text text-anchor="middle" x="127" y="-188.3" font-family="Times,serif" font-size="14.00">#2</text> +</g> +<!-- Return17->Con_13 --> +<g id="edge2" class="edge"> +<title>Return17->Con_13</title> +<path fill="none" stroke="black" d="M93.7,-124.4C99.66,-136.31 107.65,-152.3 114.31,-165.62"/> +<polygon fill="black" stroke="black" points="111.28,-167.38 118.88,-174.76 117.54,-164.25 111.28,-167.38"/> +<text text-anchor="middle" x="90.7" y="-127" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Stop3 --> +<g id="node3" class="node"> +<title>Stop3</title> +<polygon fill="yellow" stroke="black" points="112,-52 58,-52 58,-16 112,-16 112,-52"/> +<text text-anchor="middle" x="85" y="-30.3" font-family="Times,serif" font-size="14.00">Stop</text> +</g> +<!-- Stop3->Return17 --> +<g id="edge3" class="edge"> +<title>Stop3->Return17</title> +<path fill="none" stroke="red" d="M85,-52.3C85,-60.02 85,-69.29 85,-77.89"/> +<polygon fill="red" stroke="red" points="81.5,-77.9 85,-87.9 88.5,-77.9 81.5,-77.9"/> +<text text-anchor="middle" x="82" y="-54.9" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +</g> +</svg> diff --git a/chapter06/docs/06-graph2-pre.gv b/chapter06/docs/06-graph2-pre.gv new file mode 100644 index 00000000..d183b4c4 --- /dev/null +++ b/chapter06/docs/06-graph2-pre.gv @@ -0,0 +1,55 @@ +digraph chapter06 { +/* +int a=1; +if( true ) + a=2; +else + a=3; +return a; + +*/ + rankdir=BT; + ordering="in"; + concentrate="true"; + subgraph cluster_Nodes { + Return16 [ shape=box style=filled fillcolor=yellow label="Return" ]; + Start2 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">Start</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">$ctrl</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Stop3 [ shape=box style=filled fillcolor=yellow label="Stop" ]; + Con_7 [ label="#1" ]; + If8 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">If</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">True</TD><TD PORT="p1" BGCOLOR="yellow">False</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Con_12 [ label="#2" ]; + Con_13 [ label="#3" ]; + Region14 [ shape=box style=filled fillcolor=yellow label="Region" ]; + Phi_a15 [ style=filled fillcolor=lightyellow label="φ_a" ]; + { rank=same; Region14;Phi_a15;} + } + edge [ fontname=Helvetica, fontsize=8 ]; + Return16 -> Region14[taillabel=0 color=red]; + Return16 -> Phi_a15[taillabel=1]; + Stop3 -> Return16[taillabel=0 color=red]; + If8 -> Start2:p0[taillabel=0 color=red]; + If8 -> Con_7[taillabel=1]; + Region14 -> If8:p0[taillabel=1 color=red]; + Region14 -> If8:p1[taillabel=2 color=red]; + Phi_a15 -> Region14 [style=dotted taillabel=0]; + Phi_a15 -> Con_12[taillabel=1]; + Phi_a15 -> Con_13[taillabel=2]; +} diff --git a/chapter06/docs/06-graph2-pre.svg b/chapter06/docs/06-graph2-pre.svg new file mode 100644 index 00000000..e9a4dd55 --- /dev/null +++ b/chapter06/docs/06-graph2-pre.svg @@ -0,0 +1,154 @@ +<?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 2.43.0 (0) + --> +<!-- Title: chapter06 Pages: 1 --> +<svg 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font-family="Times,serif" font-size="14.00">Region</text> +</g> +<!-- Return16->Region14 --> +<g id="edge1" class="edge"> +<title>Return16->Region14</title> +<path fill="none" stroke="red" d="M163.64,-124.3C168.13,-132.36 173.56,-142.11 178.52,-151.02"/> +<polygon fill="red" stroke="red" points="175.55,-152.86 183.47,-159.9 181.66,-149.46 175.55,-152.86"/> +<text text-anchor="middle" x="160.64" y="-126.9" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Phi_a15 --> +<g id="node9" class="node"> +<title>Phi_a15</title> +<ellipse fill="lightyellow" stroke="black" cx="115" cy="-178" rx="27" ry="18"/> +<text text-anchor="middle" x="115" y="-174.3" font-family="Times,serif" font-size="14.00">φ_a</text> +</g> +<!-- Return16->Phi_a15 --> +<g id="edge2" class="edge"> +<title>Return16->Phi_a15</title> +<path fill="none" stroke="black" d="M144.36,-124.3C139.69,-132.68 134,-142.9 128.87,-152.1"/> +<polygon fill="black" stroke="black" points="125.8,-150.42 123.99,-160.86 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stroke="black" points="168,-267 168,-292 262,-292 262,-267 168,-267"/> +<text text-anchor="start" x="209.5" y="-275.8" font-family="Times,serif" font-size="14.00">If</text> +<polygon fill="none" stroke="black" points="168,-236 168,-267 262,-267 262,-236 168,-236"/> +<polygon fill="yellow" stroke="transparent" points="173,-241 173,-262 213,-262 213,-241 173,-241"/> +<polygon fill="none" stroke="black" points="173,-241 173,-262 213,-262 213,-241 173,-241"/> +<text text-anchor="start" x="176" y="-247.8" font-family="Times,serif" font-size="14.00">True</text> +<polygon fill="yellow" stroke="transparent" points="213,-241 213,-262 257,-262 257,-241 213,-241"/> +<polygon fill="none" stroke="black" points="213,-241 213,-262 257,-262 257,-241 213,-241"/> +<text text-anchor="start" x="216" y="-247.8" font-family="Times,serif" font-size="14.00">False</text> +</g> +<!-- If8->Start2 --> +<g id="edge4" class="edge"> +<title>If8->Start2:p0</title> +<path fill="none" stroke="red" d="M205.76,-296.05C199.47,-314.72 190.61,-336.65 181.17,-346.18"/> +<polygon fill="red" stroke="red" points="179.22,-343.25 172,-351 182.48,-349.44 179.22,-343.25"/> +<text text-anchor="middle" x="202.76" y="-298.65" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- If8->Con_7 --> +<g id="edge5" class="edge"> +<title>If8->Con_7</title> +<path fill="none" stroke="black" d="M219.43,-296.01C221.25,-308.76 223.34,-323.4 225.1,-335.73"/> +<polygon fill="black" stroke="black" points="221.67,-336.47 226.55,-345.87 228.6,-335.48 221.67,-336.47"/> +<text text-anchor="middle" x="216.43" y="-298.61" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Con_12 --> +<g id="node6" class="node"> +<title>Con_12</title> +<ellipse fill="none" stroke="black" cx="43" cy="-264" rx="27" ry="18"/> +<text text-anchor="middle" x="43" y="-260.3" font-family="Times,serif" font-size="14.00">#2</text> +</g> +<!-- Con_13 --> +<g id="node7" class="node"> +<title>Con_13</title> +<ellipse fill="none" stroke="black" cx="115" cy="-264" rx="27" ry="18"/> +<text text-anchor="middle" x="115" y="-260.3" font-family="Times,serif" font-size="14.00">#3</text> +</g> +<!-- Region14->If8 --> +<g id="edge6" class="edge"> +<title>Region14->If8:p0</title> +<path fill="none" stroke="red" d="M193,-196.09C193,-205.55 193,-217.77 193,-229.69"/> +<polygon fill="red" stroke="red" points="189.5,-230 193,-240 196.5,-230 189.5,-230"/> +<text text-anchor="middle" x="190" y="-198.69" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Region14->If8 --> +<g id="edge7" class="edge"> +<title>Region14->If8:p1</title> +<path fill="none" stroke="red" d="M213.02,-196.12C221.64,-205.06 230.48,-216.84 233.71,-229.84"/> +<polygon fill="red" stroke="red" points="230.27,-230.52 235,-240 237.22,-229.64 230.27,-230.52"/> +<text text-anchor="middle" x="210.02" y="-198.72" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Phi_a15->Con_12 --> +<g id="edge9" class="edge"> +<title>Phi_a15->Con_12</title> +<path fill="none" stroke="black" d="M102.13,-194.02C91.07,-206.92 74.96,-225.71 62.35,-240.42"/> +<polygon fill="black" stroke="black" points="59.61,-238.24 55.76,-248.11 64.93,-242.8 59.61,-238.24"/> +<text text-anchor="middle" x="99.13" y="-196.62" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Phi_a15->Con_13 --> +<g id="edge10" class="edge"> +<title>Phi_a15->Con_13</title> +<path fill="none" stroke="black" d="M115,-196.4C115,-207.74 115,-222.77 115,-235.68"/> +<polygon fill="black" stroke="black" points="111.5,-235.9 115,-245.9 118.5,-235.9 111.5,-235.9"/> +<text text-anchor="middle" x="112" y="-199" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Phi_a15->Region14 --> +<g id="edge8" class="edge"> +<title>Phi_a15->Region14</title> +<path fill="none" stroke="black" stroke-dasharray="1,5" d="M142.12,-178C144.58,-178 147.04,-178 149.5,-178"/> +<polygon fill="black" stroke="black" points="149.61,-181.5 159.61,-178 149.61,-174.5 149.61,-181.5"/> +<text text-anchor="middle" x="145.12" y="-171.6" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +</g> +</svg> diff --git a/chapter06/docs/06-graph3-false.gv b/chapter06/docs/06-graph3-false.gv new file mode 100644 index 00000000..28f741fa --- /dev/null +++ b/chapter06/docs/06-graph3-false.gv @@ -0,0 +1,35 @@ +digraph chapter06 { +/* +int a = 0; +int b = 1; +if( arg ) { + a = 2; + if( arg ) { b = 2; } + else b = 3; +} +return a+b; + +*/ + rankdir=BT; + ordering="in"; + concentrate="true"; + subgraph cluster_Nodes { + Start2 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">Start</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">$ctrl</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Stop3 [ shape=box style=filled fillcolor=yellow label="Stop" ]; + Con_30 [ label="#1" ]; + Return31 [ shape=box style=filled fillcolor=yellow label="Return" ]; + } + edge [ fontname=Helvetica, fontsize=8 ]; + Stop3 -> Return31[taillabel=0 color=red]; + Return31 -> Start2:p0[taillabel=0 color=red]; + Return31 -> Con_30[taillabel=1]; +} diff --git a/chapter06/docs/06-graph3-false.svg b/chapter06/docs/06-graph3-false.svg new file mode 100644 index 00000000..49b04f09 --- /dev/null +++ b/chapter06/docs/06-graph3-false.svg @@ -0,0 +1,67 @@ +<?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 2.43.0 (0) + --> +<!-- Title: chapter06 Pages: 1 --> +<svg width="178pt" height="248pt" + viewBox="0.00 0.00 178.00 248.00" 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(4 244)"> +<title>chapter06</title> +<polygon 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b/chapter06/docs/06-graph3-nonconst.gv new file mode 100644 index 00000000..0746be85 --- /dev/null +++ b/chapter06/docs/06-graph3-nonconst.gv @@ -0,0 +1,86 @@ +digraph chapter06 { +/* +int a = 0; +int b = 1; +if( arg ) { + a = 2; + if( arg ) { b = 2; } + else b = 3; +} +return a+b; + +*/ + rankdir=BT; + ordering="in"; + concentrate="true"; + subgraph cluster_Nodes { + Start2 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">Start</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">$ctrl</TD><TD PORT="p1">arg</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Stop3 [ shape=box style=filled fillcolor=yellow label="Stop" ]; + Con_6 [ label="#0" ]; + Con_7 [ label="#1" ]; + If8 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">If</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">True</TD><TD PORT="p1" BGCOLOR="yellow">False</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Con_12 [ label="#2" ]; + If13 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">If</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">True</TD><TD PORT="p1" BGCOLOR="yellow">False</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Con_17 [ label="#2" ]; + Con_18 [ label="#3" ]; + Region19 [ shape=box style=filled fillcolor=yellow label="Region" ]; + Phi_b20 [ style=filled fillcolor=lightyellow label="φ_b" ]; + Region21 [ shape=box style=filled fillcolor=yellow label="Region" ]; + Phi_a22 [ style=filled fillcolor=lightyellow label="φ_a" ]; + Phi_b23 [ style=filled fillcolor=lightyellow label="φ_b" ]; + Add24 [ label="+" ]; + Return25 [ shape=box style=filled fillcolor=yellow label="Return" ]; + { rank=same; Region19;Phi_b20;} + { rank=same; Region21;Phi_b23;Phi_a22;} + } + edge [ fontname=Helvetica, fontsize=8 ]; + Stop3 -> Return25[taillabel=0 color=red]; + If8 -> Start2:p0[taillabel=0 color=red]; + If8 -> Start2:p1[taillabel=1]; + If13 -> If8:p0[taillabel=0 color=red]; + If13 -> Start2:p1[taillabel=1]; + Region19 -> If13:p0[taillabel=1 color=red]; + Region19 -> If13:p1[taillabel=2 color=red]; + Phi_b20 -> Region19 [style=dotted taillabel=0]; + Phi_b20 -> Con_17[taillabel=1]; + Phi_b20 -> Con_18[taillabel=2]; + Region21 -> Region19[taillabel=1 color=red]; + Region21 -> If8:p1[taillabel=2 color=red]; + Phi_a22 -> Region21 [style=dotted taillabel=0]; + Phi_a22 -> Con_12[taillabel=1]; + Phi_a22 -> Con_6[taillabel=2]; + Phi_b23 -> Region21 [style=dotted taillabel=0]; + Phi_b23 -> Phi_b20[taillabel=1]; + Phi_b23 -> Con_7[taillabel=2]; + Add24 -> Phi_b23[taillabel=1]; + Add24 -> Phi_a22[taillabel=2]; + Return25 -> Region21[taillabel=0 color=red]; + Return25 -> Add24[taillabel=1]; +}
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rx="27" ry="18"/> +<text text-anchor="middle" x="259" y="-318.3" font-family="Times,serif" font-size="14.00">#0</text> +</g> +<!-- Con_7 --> +<g id="node4" class="node"> +<title>Con_7</title> +<ellipse fill="none" stroke="black" cx="115" cy="-322" rx="27" ry="18"/> +<text text-anchor="middle" x="115" y="-318.3" font-family="Times,serif" font-size="14.00">#1</text> +</g> +<!-- If8 --> +<g id="node5" class="node"> +<title>If8</title> +<polygon fill="yellow" stroke="transparent" points="288,-511 288,-536 382,-536 382,-511 288,-511"/> +<polygon fill="none" stroke="black" points="288,-511 288,-536 382,-536 382,-511 288,-511"/> +<text text-anchor="start" x="329.5" y="-519.8" font-family="Times,serif" font-size="14.00">If</text> +<polygon fill="none" stroke="black" points="288,-480 288,-511 382,-511 382,-480 288,-480"/> +<polygon fill="yellow" stroke="transparent" points="293,-485 293,-506 333,-506 333,-485 293,-485"/> +<polygon fill="none" stroke="black" points="293,-485 293,-506 333,-506 333,-485 293,-485"/> +<text text-anchor="start" x="296" y="-491.8" font-family="Times,serif" font-size="14.00">True</text> +<polygon fill="yellow" stroke="transparent" points="333,-485 333,-506 377,-506 377,-485 333,-485"/> +<polygon fill="none" stroke="black" points="333,-485 333,-506 377,-506 377,-485 333,-485"/> +<text text-anchor="start" x="336" y="-491.8" font-family="Times,serif" font-size="14.00">False</text> +</g> +<!-- If8->Start2 --> +<g id="edge2" class="edge"> +<title>If8->Start2:p0</title> +<path fill="none" stroke="red" d="M312.41,-540.3C306.75,-550.38 301.75,-562.04 299.83,-573.96"/> +<polygon fill="red" stroke="red" points="296.34,-573.75 299,-584 303.31,-574.32 296.34,-573.75"/> +<text text-anchor="middle" x="309.41" y="-542.9" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- If8->Start2 --> +<g id="edge3" class="edge"> +<title>If8->Start2:p1</title> +<path fill="none" stroke="black" d="M335,-540.02C335,-550.47 335,-562.42 335,-573.98"/> 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272,-385"/> +<polygon fill="none" stroke="black" points="272,-385 272,-406 312,-406 312,-385 272,-385"/> +<text text-anchor="start" x="275" y="-391.8" font-family="Times,serif" font-size="14.00">True</text> +<polygon fill="yellow" stroke="transparent" points="312,-385 312,-406 356,-406 356,-385 312,-385"/> +<polygon fill="none" stroke="black" points="312,-385 312,-406 356,-406 356,-385 312,-385"/> +<text text-anchor="start" x="315" y="-391.8" font-family="Times,serif" font-size="14.00">False</text> +</g> +<!-- If13->Start2 --> +<g id="edge5" class="edge"> +<title>If13->Start2:p1</title> +<path fill="none" stroke="black" d="M288.75,-440.22C281.57,-450.93 274.7,-463.4 271,-476 262.99,-503.29 257.76,-514.83 271,-540 285.19,-566.97 324.2,-553.71 333.15,-573.98"/> +<polygon fill="black" stroke="black" points="329.75,-574.8 335,-584 336.63,-573.53 329.75,-574.8"/> +<text text-anchor="middle" x="285.75" y="-442.82" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- If13->If8 --> +<g id="edge4" class="edge"> +<title>If13->If8:p0</title> +<path fill="none" stroke="red" d="M313.4,-440.02C313.24,-450.46 313.09,-462.42 313.03,-473.98"/> +<polygon fill="red" stroke="red" points="309.53,-473.99 313,-484 316.53,-474.01 309.53,-473.99"/> +<text text-anchor="middle" x="310.4" y="-442.62" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Con_17 --> +<g id="node8" class="node"> +<title>Con_17</title> +<ellipse fill="none" stroke="black" cx="43" cy="-408" rx="27" ry="18"/> +<text text-anchor="middle" x="43" y="-404.3" font-family="Times,serif" font-size="14.00">#2</text> +</g> +<!-- Con_18 --> +<g id="node9" class="node"> +<title>Con_18</title> +<ellipse fill="none" stroke="black" cx="115" cy="-408" rx="27" ry="18"/> +<text text-anchor="middle" x="115" y="-404.3" font-family="Times,serif" font-size="14.00">#3</text> +</g> +<!-- Region19 --> +<g id="node10" class="node"> +<title>Region19</title> +<polygon fill="yellow" stroke="black" points="370,-340 304,-340 304,-304 370,-304 370,-340"/> +<text text-anchor="middle" x="337" y="-318.3" font-family="Times,serif" font-size="14.00">Region</text> +</g> +<!-- Region19->If13 --> +<g id="edge6" class="edge"> +<title>Region19->If13:p0</title> +<path fill="none" stroke="red" d="M315.29,-340.1C306.12,-348.94 296.78,-360.62 293.36,-373.72"/> +<polygon fill="red" stroke="red" points="289.84,-373.63 292,-384 296.78,-374.54 289.84,-373.63"/> +<text text-anchor="middle" x="312.29" y="-342.7" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Region19->If13 --> +<g id="edge7" class="edge"> +<title>Region19->If13:p1</title> +<path fill="none" stroke="red" d="M335.71,-340.08C335.08,-349.53 334.4,-361.76 334.13,-373.68"/> +<polygon fill="red" stroke="red" points="330.62,-373.96 334,-384 337.62,-374.04 330.62,-373.96"/> +<text text-anchor="middle" x="332.71" y="-342.68" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Phi_b20 --> +<g id="node11" class="node"> +<title>Phi_b20</title> +<ellipse fill="lightyellow" stroke="black" cx="43" cy="-322" rx="27.1" ry="18"/> +<text text-anchor="middle" x="43" y="-318.3" font-family="Times,serif" font-size="14.00">φ_b</text> +</g> +<!-- Phi_b20->Con_17 --> +<g id="edge9" class="edge"> +<title>Phi_b20->Con_17</title> +<path fill="none" stroke="black" d="M43,-340.4C43,-351.74 43,-366.77 43,-379.68"/> +<polygon fill="black" stroke="black" points="39.5,-379.9 43,-389.9 46.5,-379.9 39.5,-379.9"/> +<text text-anchor="middle" x="40" y="-343" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Phi_b20->Con_18 --> +<g id="edge10" class="edge"> +<title>Phi_b20->Con_18</title> +<path fill="none" stroke="black" d="M55.87,-338.02C66.93,-350.92 83.04,-369.71 95.65,-384.42"/> +<polygon fill="black" stroke="black" points="93.07,-386.8 102.24,-392.11 98.39,-382.24 93.07,-386.8"/> +<text text-anchor="middle" x="52.87" y="-340.62" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Phi_b20->Region19 --> +<g id="edge8" class="edge"> +<title>Phi_b20->Region19</title> +<path fill="none" stroke="black" stroke-dasharray="1,5" d="M57.22,-306.43C65.37,-298.68 76.29,-290.11 88,-286 129.52,-271.44 244.06,-272.69 286,-286 293.99,-288.54 301.81,-292.83 308.83,-297.58"/> +<polygon fill="black" stroke="black" points="307.11,-300.66 317.24,-303.75 311.25,-295.01 307.11,-300.66"/> +<text text-anchor="middle" x="54.22" y="-300.03" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Region21 --> +<g id="node12" class="node"> +<title>Region21</title> +<polygon fill="yellow" stroke="black" points="352,-268 286,-268 286,-232 352,-232 352,-268"/> +<text text-anchor="middle" x="319" y="-246.3" font-family="Times,serif" font-size="14.00">Region</text> +</g> +<!-- Region21->If8 --> +<g id="edge12" class="edge"> +<title>Region21->If8:p1</title> +<path fill="none" stroke="red" d="M347.26,-268.03C359.43,-277.04 372.37,-289.3 379,-304 385.58,-318.6 394.79,-373.07 378,-440 373.59,-457.56 360.94,-461.07 356.53,-473.94"/> +<polygon fill="red" stroke="red" points="353.05,-473.59 355,-484 359.97,-474.64 353.05,-473.59"/> +<text text-anchor="middle" x="344.26" y="-270.63" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Region21->Region19 --> +<g id="edge11" class="edge"> +<title>Region21->Region19</title> +<path fill="none" stroke="red" d="M323.45,-268.3C325.45,-276.1 327.87,-285.49 330.1,-294.17"/> +<polygon fill="red" stroke="red" points="326.72,-295.08 332.6,-303.9 333.5,-293.34 326.72,-295.08"/> +<text text-anchor="middle" x="320.45" y="-270.9" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Phi_a22 --> +<g id="node13" class="node"> +<title>Phi_a22</title> +<ellipse fill="lightyellow" stroke="black" cx="241" cy="-250" rx="27" ry="18"/> +<text text-anchor="middle" x="241" y="-246.3" font-family="Times,serif" font-size="14.00">φ_a</text> +</g> +<!-- Phi_a22->Con_6 --> +<g id="edge15" class="edge"> +<title>Phi_a22->Con_6</title> +<path fill="none" stroke="black" d="M245.36,-267.95C247.39,-275.86 249.86,-285.46 252.14,-294.31"/> +<polygon fill="black" stroke="black" points="248.8,-295.4 254.68,-304.21 255.58,-293.65 248.8,-295.4"/> +<text text-anchor="middle" x="242.36" y="-270.55" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Phi_a22->Con_12 --> +<g id="edge14" class="edge"> +<title>Phi_a22->Con_12</title> +<path fill="none" stroke="black" d="M229.02,-266.54C222.02,-275.6 213.06,-287.21 205.21,-297.39"/> +<polygon fill="black" stroke="black" points="202.29,-295.45 198.95,-305.51 207.83,-299.73 202.29,-295.45"/> +<text text-anchor="middle" x="226.02" y="-269.14" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Phi_a22->Region21 --> +<g id="edge13" class="edge"> +<title>Phi_a22->Region21</title> +<path fill="none" stroke="black" stroke-dasharray="1,5" d="M268.12,-250C270.58,-250 273.04,-250 275.5,-250"/> +<polygon fill="black" stroke="black" points="275.61,-253.5 285.61,-250 275.61,-246.5 275.61,-253.5"/> +<text text-anchor="middle" x="271.12" y="-243.6" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Phi_b23 --> +<g id="node14" class="node"> +<title>Phi_b23</title> +<ellipse fill="lightyellow" stroke="black" cx="133" cy="-250" rx="27.1" ry="18"/> +<text text-anchor="middle" x="133" y="-246.3" font-family="Times,serif" font-size="14.00">φ_b</text> +</g> +<!-- Phi_b23->Con_7 --> +<g id="edge18" class="edge"> +<title>Phi_b23->Con_7</title> +<path fill="none" stroke="black" d="M128.64,-267.95C126.61,-275.86 124.14,-285.46 121.86,-294.31"/> +<polygon fill="black" stroke="black" points="118.42,-293.65 119.32,-304.21 125.2,-295.4 118.42,-293.65"/> +<text text-anchor="middle" x="125.64" y="-270.55" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Phi_b23->Phi_b20 --> +<g id="edge17" class="edge"> +<title>Phi_b23->Phi_b20</title> +<path fill="none" stroke="black" d="M116.07,-264.17C102.58,-274.66 83.49,-289.51 68.2,-301.4"/> +<polygon fill="black" stroke="black" points="65.9,-298.75 60.16,-307.65 70.2,-304.28 65.9,-298.75"/> +<text text-anchor="middle" x="113.07" y="-266.77" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Phi_b23->Region21 --> +<g id="edge16" class="edge"> +<title>Phi_b23->Region21</title> +<path fill="none" stroke="black" stroke-dasharray="1,5" d="M152.84,-237.61C179.31,-222.7 227.54,-201.16 268,-214 275.99,-216.54 283.81,-220.83 290.83,-225.58"/> +<polygon fill="black" stroke="black" points="289.11,-228.66 299.24,-231.75 293.25,-223.01 289.11,-228.66"/> +<text text-anchor="middle" x="149.84" y="-231.21" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Add24 --> +<g id="node15" class="node"> +<title>Add24</title> +<ellipse fill="none" stroke="black" cx="241" cy="-178" rx="27" ry="18"/> +<text text-anchor="middle" x="241" y="-174.3" font-family="Times,serif" font-size="14.00">+</text> +</g> +<!-- Add24->Phi_a22 --> +<g id="edge20" class="edge"> +<title>Add24->Phi_a22</title> +<path fill="none" stroke="black" d="M241,-196.3C241,-204.02 241,-213.29 241,-221.89"/> +<polygon fill="black" stroke="black" points="237.5,-221.9 241,-231.9 244.5,-221.9 237.5,-221.9"/> +<text text-anchor="middle" x="238" y="-198.9" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Add24->Phi_b23 --> +<g id="edge19" class="edge"> +<title>Add24->Phi_b23</title> +<path fill="none" stroke="black" d="M222.19,-191.19C205.1,-202.27 179.69,-218.74 160.36,-231.27"/> +<polygon fill="black" stroke="black" points="158.45,-228.34 151.96,-236.71 162.25,-234.21 158.45,-228.34"/> +<text text-anchor="middle" x="219.19" y="-193.79" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Return25->Region21 --> +<g id="edge21" class="edge"> +<title>Return25->Region21</title> +<path fill="none" stroke="red" d="M277.67,-124.13C285.71,-148.44 300.52,-193.18 310.06,-221.99"/> +<polygon fill="red" stroke="red" points="306.85,-223.42 313.31,-231.81 313.49,-221.22 306.85,-223.42"/> +<text text-anchor="middle" x="274.67" y="-126.73" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Return25->Add24 --> +<g id="edge22" class="edge"> +<title>Return25->Add24</title> +<path fill="none" stroke="black" d="M264.34,-124.3C260.76,-132.39 256.42,-142.19 252.46,-151.13"/> +<polygon fill="black" stroke="black" points="249.21,-149.82 248.36,-160.38 255.61,-152.65 249.21,-149.82"/> +<text text-anchor="middle" x="261.34" y="-126.9" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +</g> +</svg> diff --git a/chapter06/docs/06-graph3-true.gv b/chapter06/docs/06-graph3-true.gv new file mode 100644 index 00000000..8fdcc5df --- /dev/null +++ b/chapter06/docs/06-graph3-true.gv @@ -0,0 +1,35 @@ +digraph chapter06 { +/* +int a = 0; +int b = 1; +if( arg ) { + a = 2; + if( arg ) { b = 2; } + else b = 3; +} +return a+b; + +*/ + rankdir=BT; + ordering="in"; + concentrate="true"; + subgraph cluster_Nodes { + Start2 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">Start</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">$ctrl</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Stop3 [ shape=box style=filled fillcolor=yellow label="Stop" ]; + Con_28 [ label="#4" ]; + Return29 [ shape=box style=filled fillcolor=yellow label="Return" ]; + } + edge [ fontname=Helvetica, fontsize=8 ]; + Stop3 -> Return29[taillabel=0 color=red]; + Return29 -> Start2:p0[taillabel=0 color=red]; + Return29 -> Con_28[taillabel=1]; +}
\ No newline at end of file diff --git a/chapter06/docs/06-graph3-true.svg b/chapter06/docs/06-graph3-true.svg new file mode 100644 index 00000000..7e573cc6 --- /dev/null +++ b/chapter06/docs/06-graph3-true.svg @@ -0,0 +1,67 @@ +<?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 2.43.0 (0) + --> +<!-- Title: chapter06 Pages: 1 --> +<svg width="178pt" height="248pt" + viewBox="0.00 0.00 178.00 248.00" 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(4 244)"> +<title>chapter06</title> +<polygon fill="white" stroke="transparent" points="-4,4 -4,-244 174,-244 174,4 -4,4"/> +<g id="clust1" class="cluster"> +<title>cluster_Nodes</title> +<polygon fill="none" stroke="black" points="8,-8 8,-232 162,-232 162,-8 8,-8"/> +</g> +<!-- Start2 --> +<g id="node1" class="node"> +<title>Start2</title> +<polygon fill="yellow" stroke="transparent" points="24,-195 24,-220 74,-220 74,-195 24,-195"/> +<polygon fill="none" stroke="black" points="24,-195 24,-220 74,-220 74,-195 24,-195"/> +<text text-anchor="start" x="30.5" y="-203.8" font-family="Times,serif" font-size="14.00">Start</text> +<polygon fill="none" stroke="black" points="24,-164 24,-195 74,-195 74,-164 24,-164"/> +<polygon fill="yellow" stroke="transparent" points="29,-169 29,-190 69,-190 69,-169 29,-169"/> +<polygon fill="none" stroke="black" points="29,-169 29,-190 69,-190 69,-169 29,-169"/> +<text text-anchor="start" x="32" y="-175.8" font-family="Times,serif" font-size="14.00">$ctrl</text> +</g> +<!-- Stop3 --> +<g id="node2" class="node"> +<title>Stop3</title> +<polygon fill="yellow" stroke="black" points="112,-52 58,-52 58,-16 112,-16 112,-52"/> +<text text-anchor="middle" x="85" y="-30.3" font-family="Times,serif" font-size="14.00">Stop</text> +</g> +<!-- Return29 --> +<g id="node4" class="node"> +<title>Return29</title> +<polygon fill="yellow" stroke="black" points="118,-124 52,-124 52,-88 118,-88 118,-124"/> +<text text-anchor="middle" x="85" y="-102.3" font-family="Times,serif" font-size="14.00">Return</text> +</g> +<!-- Stop3->Return29 --> +<g id="edge1" class="edge"> +<title>Stop3->Return29</title> +<path fill="none" stroke="red" d="M85,-52.3C85,-60.02 85,-69.29 85,-77.89"/> +<polygon fill="red" stroke="red" points="81.5,-77.9 85,-87.9 88.5,-77.9 81.5,-77.9"/> +<text text-anchor="middle" x="82" y="-54.9" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Con_28 --> +<g id="node3" class="node"> +<title>Con_28</title> +<ellipse fill="none" stroke="black" cx="127" cy="-192" rx="27" ry="18"/> +<text text-anchor="middle" x="127" y="-188.3" font-family="Times,serif" font-size="14.00">#4</text> +</g> +<!-- Return29->Start2 --> +<g id="edge2" class="edge"> +<title>Return29->Start2:p0</title> +<path fill="none" stroke="red" d="M68.26,-124.13C60.77,-133.26 52.99,-145.23 50.13,-158.06"/> +<polygon fill="red" stroke="red" points="46.66,-157.67 49,-168 53.61,-158.46 46.66,-157.67"/> +<text text-anchor="middle" x="65.26" y="-126.73" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Return29->Con_28 --> +<g id="edge3" class="edge"> +<title>Return29->Con_28</title> +<path fill="none" stroke="black" d="M93.7,-124.4C99.66,-136.31 107.65,-152.3 114.31,-165.62"/> +<polygon fill="black" stroke="black" points="111.28,-167.38 118.88,-174.76 117.54,-164.25 111.28,-167.38"/> +<text text-anchor="middle" x="90.7" y="-127" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +</g> +</svg> diff --git a/chapter06/docs/06-graph4-arg2.gv b/chapter06/docs/06-graph4-arg2.gv new file mode 100644 index 00000000..7d6913e2 --- /dev/null +++ b/chapter06/docs/06-graph4-arg2.gv @@ -0,0 +1,37 @@ +digraph chapter06 { +/* +int a = 0; +int b = 1; +int c = 0; +if( arg ) { + a = 1; + if( arg==2 ) { c=2; } else { c=3; } + if( arg ) { b = 2; } + else b = 3; +} +return a+b+c; + +*/ + rankdir=BT; + ordering="in"; + concentrate="true"; + subgraph cluster_Nodes { + Start2 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">Start</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">$ctrl</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Stop3 [ shape=box style=filled fillcolor=yellow label="Stop" ]; + Con_44 [ label="#5" ]; + Return45 [ shape=box style=filled fillcolor=yellow label="Return" ]; + } + edge [ fontname=Helvetica, fontsize=8 ]; + Stop3 -> Return45[taillabel=0 color=red]; + Return45 -> Start2:p0[taillabel=0 color=red]; + Return45 -> Con_44[taillabel=1]; +} diff --git a/chapter06/docs/06-graph4-arg2.svg b/chapter06/docs/06-graph4-arg2.svg new file mode 100644 index 00000000..8ec80be4 --- /dev/null +++ b/chapter06/docs/06-graph4-arg2.svg @@ -0,0 +1,67 @@ +<?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 2.43.0 (0) + --> +<!-- Title: chapter06 Pages: 1 --> +<svg width="178pt" height="248pt" + viewBox="0.00 0.00 178.00 248.00" 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(4 244)"> +<title>chapter06</title> +<polygon fill="white" stroke="transparent" points="-4,4 -4,-244 174,-244 174,4 -4,4"/> +<g id="clust1" class="cluster"> +<title>cluster_Nodes</title> +<polygon fill="none" stroke="black" points="8,-8 8,-232 162,-232 162,-8 8,-8"/> +</g> +<!-- Start2 --> +<g id="node1" class="node"> +<title>Start2</title> +<polygon fill="yellow" stroke="transparent" points="24,-195 24,-220 74,-220 74,-195 24,-195"/> +<polygon fill="none" stroke="black" points="24,-195 24,-220 74,-220 74,-195 24,-195"/> +<text text-anchor="start" x="30.5" y="-203.8" font-family="Times,serif" font-size="14.00">Start</text> +<polygon fill="none" stroke="black" points="24,-164 24,-195 74,-195 74,-164 24,-164"/> +<polygon fill="yellow" stroke="transparent" points="29,-169 29,-190 69,-190 69,-169 29,-169"/> +<polygon fill="none" stroke="black" points="29,-169 29,-190 69,-190 69,-169 29,-169"/> +<text text-anchor="start" x="32" y="-175.8" font-family="Times,serif" font-size="14.00">$ctrl</text> +</g> +<!-- Stop3 --> +<g id="node2" class="node"> +<title>Stop3</title> +<polygon fill="yellow" stroke="black" points="112,-52 58,-52 58,-16 112,-16 112,-52"/> +<text text-anchor="middle" x="85" y="-30.3" font-family="Times,serif" font-size="14.00">Stop</text> +</g> +<!-- Return45 --> +<g id="node4" class="node"> +<title>Return45</title> +<polygon fill="yellow" stroke="black" points="118,-124 52,-124 52,-88 118,-88 118,-124"/> +<text text-anchor="middle" x="85" y="-102.3" font-family="Times,serif" font-size="14.00">Return</text> +</g> +<!-- Stop3->Return45 --> +<g id="edge1" class="edge"> +<title>Stop3->Return45</title> +<path fill="none" stroke="red" d="M85,-52.3C85,-60.02 85,-69.29 85,-77.89"/> +<polygon fill="red" stroke="red" points="81.5,-77.9 85,-87.9 88.5,-77.9 81.5,-77.9"/> +<text text-anchor="middle" x="82" y="-54.9" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Con_44 --> +<g id="node3" class="node"> +<title>Con_44</title> +<ellipse fill="none" stroke="black" cx="127" cy="-192" rx="27" ry="18"/> +<text text-anchor="middle" x="127" y="-188.3" font-family="Times,serif" font-size="14.00">#5</text> +</g> +<!-- Return45->Start2 --> +<g id="edge2" class="edge"> +<title>Return45->Start2:p0</title> +<path fill="none" stroke="red" d="M68.26,-124.13C60.77,-133.26 52.99,-145.23 50.13,-158.06"/> +<polygon fill="red" stroke="red" points="46.66,-157.67 49,-168 53.61,-158.46 46.66,-157.67"/> +<text text-anchor="middle" x="65.26" y="-126.73" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Return45->Con_44 --> +<g id="edge3" class="edge"> +<title>Return45->Con_44</title> +<path fill="none" stroke="black" d="M93.7,-124.4C99.66,-136.31 107.65,-152.3 114.31,-165.62"/> +<polygon fill="black" stroke="black" points="111.28,-167.38 118.88,-174.76 117.54,-164.25 111.28,-167.38"/> +<text text-anchor="middle" x="90.7" y="-127" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +</g> +</svg> diff --git a/chapter06/docs/06-graph4-nonconst.gv b/chapter06/docs/06-graph4-nonconst.gv new file mode 100644 index 00000000..b8899b48 --- /dev/null +++ b/chapter06/docs/06-graph4-nonconst.gv @@ -0,0 +1,122 @@ +digraph chapter06 { +/* +int a = 0; +int b = 1; +int c = 0; +if( arg ) { + a = 1; + if( arg==2 ) { c=2; } else { c=3; } + if( arg ) { b = 2; } + else b = 3; +} +return a+b+c; + +*/ + rankdir=BT; + ordering="in"; + concentrate="true"; + subgraph cluster_Nodes { + Start2 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">Start</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">$ctrl</TD><TD PORT="p1">arg</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Stop3 [ shape=box style=filled fillcolor=yellow label="Stop" ]; + Con_6 [ label="#0" ]; + Con_7 [ label="#1" ]; + Con_8 [ label="#0" ]; + If9 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">If</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">True</TD><TD PORT="p1" BGCOLOR="yellow">False</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Con_13 [ label="#1" ]; + Con_14 [ label="#2" ]; + EQNode15 [ label="==" ]; + If16 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">If</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">True</TD><TD PORT="p1" BGCOLOR="yellow">False</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Con_20 [ label="#2" ]; + Con_21 [ label="#3" ]; + Region22 [ shape=box style=filled fillcolor=yellow label="Region" ]; + Phi_c23 [ style=filled fillcolor=lightyellow label="φ_c" ]; + If24 [ shape=plaintext label=< + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0" CELLPADDING="4"> + <TR><TD BGCOLOR="yellow">If</TD></TR> + <TR><TD> + <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0"> + <TR><TD PORT="p0" BGCOLOR="yellow">True</TD><TD PORT="p1" BGCOLOR="yellow">False</TD></TR> + </TABLE> + </TD></TR> + </TABLE>> + ]; + Con_28 [ label="#2" ]; + Con_29 [ label="#3" ]; + Region30 [ shape=box style=filled fillcolor=yellow label="Region" ]; + Phi_b31 [ style=filled fillcolor=lightyellow label="φ_b" ]; + Region32 [ shape=box style=filled fillcolor=yellow label="Region" ]; + Phi_a33 [ style=filled fillcolor=lightyellow label="φ_a" ]; + Phi_b34 [ style=filled fillcolor=lightyellow label="φ_b" ]; + Phi_c35 [ style=filled fillcolor=lightyellow label="φ_c" ]; + Add36 [ label="+" ]; + Add37 [ label="+" ]; + Return38 [ shape=box style=filled fillcolor=yellow label="Return" ]; + { rank=same; Region22;Phi_c23;} + { rank=same; Region30;Phi_b31;} + { rank=same; Region32;Phi_c35;Phi_a33;Phi_b34;} + } + edge [ fontname=Helvetica, fontsize=8 ]; + Stop3 -> Return38[taillabel=0 color=red]; + If9 -> Start2:p0[taillabel=0 color=red]; + If9 -> Start2:p1[taillabel=1]; + EQNode15 -> Start2:p1[taillabel=1]; + EQNode15 -> Con_14[taillabel=2]; + If16 -> If9:p0[taillabel=0 color=red]; + If16 -> EQNode15[taillabel=1]; + Region22 -> If16:p0[taillabel=1 color=red]; + Region22 -> If16:p1[taillabel=2 color=red]; + Phi_c23 -> Region22 [style=dotted taillabel=0]; + Phi_c23 -> Con_20[taillabel=1]; + Phi_c23 -> Con_21[taillabel=2]; + If24 -> Region22[taillabel=0 color=red]; + If24 -> Start2:p1[taillabel=1]; + Region30 -> If24:p0[taillabel=1 color=red]; + Region30 -> If24:p1[taillabel=2 color=red]; + Phi_b31 -> Region30 [style=dotted taillabel=0]; + Phi_b31 -> Con_28[taillabel=1]; + Phi_b31 -> Con_29[taillabel=2]; + Region32 -> Region30[taillabel=1 color=red]; + Region32 -> If9:p1[taillabel=2 color=red]; + Phi_a33 -> Region32 [style=dotted taillabel=0]; + Phi_a33 -> Con_13[taillabel=1]; + Phi_a33 -> Con_6[taillabel=2]; + Phi_b34 -> Region32 [style=dotted taillabel=0]; + Phi_b34 -> Phi_b31[taillabel=1]; + Phi_b34 -> Con_7[taillabel=2]; + Phi_c35 -> Region32 [style=dotted taillabel=0]; + Phi_c35 -> Phi_c23[taillabel=1]; + Phi_c35 -> Con_8[taillabel=2]; + Add36 -> Phi_c35[taillabel=1]; + Add36 -> Phi_b34[taillabel=2]; + Add37 -> Add36[taillabel=1]; + Add37 -> Phi_a33[taillabel=2]; + Return38 -> Region32[taillabel=0 color=red]; + Return38 -> Add37[taillabel=1]; +} diff --git a/chapter06/docs/06-graph4-nonconst.svg b/chapter06/docs/06-graph4-nonconst.svg new file mode 100644 index 00000000..d38c3636 --- /dev/null +++ b/chapter06/docs/06-graph4-nonconst.svg @@ -0,0 +1,456 @@ +<?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 2.43.0 (0) + --> +<!-- Title: chapter06 Pages: 1 --> +<svg width="506pt" height="908pt" + viewBox="0.00 0.00 506.00 908.00" 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(4 904)"> +<title>chapter06</title> +<polygon fill="white" stroke="transparent" points="-4,4 -4,-904 502,-904 502,4 -4,4"/> +<g id="clust1" class="cluster"> +<title>cluster_Nodes</title> +<polygon fill="none" stroke="black" points="8,-8 8,-892 490,-892 490,-8 8,-8"/> +</g> +<!-- Start2 --> +<g id="node1" class="node"> +<title>Start2</title> +<polygon fill="yellow" stroke="transparent" points="266,-855 266,-880 347,-880 347,-855 266,-855"/> +<polygon fill="none" stroke="black" points="266,-855 266,-880 347,-880 347,-855 266,-855"/> +<text text-anchor="start" x="288" y="-863.8" font-family="Times,serif" font-size="14.00">Start</text> +<polygon fill="none" stroke="black" points="266,-824 266,-855 347,-855 347,-824 266,-824"/> +<polygon fill="yellow" stroke="transparent" points="271,-829 271,-850 311,-850 311,-829 271,-829"/> +<polygon fill="none" stroke="black" points="271,-829 271,-850 311,-850 311,-829 271,-829"/> +<text text-anchor="start" x="274" y="-835.8" font-family="Times,serif" font-size="14.00">$ctrl</text> +<polygon fill="none" stroke="black" points="311,-829 311,-850 342,-850 342,-829 311,-829"/> +<text text-anchor="start" x="314" y="-835.8" font-family="Times,serif" font-size="14.00">arg</text> +</g> +<!-- Stop3 --> +<g id="node2" class="node"> +<title>Stop3</title> +<polygon fill="yellow" stroke="black" points="329,-52 275,-52 275,-16 329,-16 329,-52"/> +<text text-anchor="middle" x="302" y="-30.3" font-family="Times,serif" font-size="14.00">Stop</text> +</g> +<!-- Return38 --> +<g id="node26" class="node"> +<title>Return38</title> +<polygon fill="yellow" stroke="black" points="335,-124 269,-124 269,-88 335,-88 335,-124"/> +<text text-anchor="middle" x="302" y="-102.3" font-family="Times,serif" font-size="14.00">Return</text> +</g> +<!-- Stop3->Return38 --> +<g id="edge1" class="edge"> +<title>Stop3->Return38</title> +<path fill="none" stroke="red" d="M302,-52.3C302,-60.02 302,-69.29 302,-77.89"/> +<polygon fill="red" stroke="red" points="298.5,-77.9 302,-87.9 305.5,-77.9 298.5,-77.9"/> +<text text-anchor="middle" x="299" y="-54.9" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Con_6 --> +<g id="node3" class="node"> +<title>Con_6</title> +<ellipse fill="none" stroke="black" cx="351" cy="-394" rx="27" ry="18"/> +<text text-anchor="middle" x="351" y="-390.3" font-family="Times,serif" font-size="14.00">#0</text> +</g> +<!-- Con_7 --> +<g id="node4" class="node"> +<title>Con_7</title> +<ellipse fill="none" stroke="black" cx="207" cy="-394" rx="27" ry="18"/> +<text text-anchor="middle" x="207" y="-390.3" font-family="Times,serif" font-size="14.00">#1</text> +</g> +<!-- Con_8 --> +<g id="node5" class="node"> +<title>Con_8</title> +<ellipse fill="none" stroke="black" cx="43" cy="-394" rx="27" ry="18"/> +<text text-anchor="middle" x="43" y="-390.3" font-family="Times,serif" font-size="14.00">#0</text> +</g> +<!-- If9 --> +<g id="node6" class="node"> +<title>If9</title> +<polygon fill="yellow" stroke="transparent" points="232,-755 232,-780 326,-780 326,-755 232,-755"/> +<polygon fill="none" stroke="black" points="232,-755 232,-780 326,-780 326,-755 232,-755"/> +<text text-anchor="start" x="273.5" y="-763.8" font-family="Times,serif" font-size="14.00">If</text> +<polygon fill="none" stroke="black" points="232,-724 232,-755 326,-755 326,-724 232,-724"/> +<polygon fill="yellow" stroke="transparent" points="237,-729 237,-750 277,-750 277,-729 237,-729"/> +<polygon fill="none" stroke="black" points="237,-729 237,-750 277,-750 277,-729 237,-729"/> +<text text-anchor="start" x="240" y="-735.8" font-family="Times,serif" font-size="14.00">True</text> +<polygon fill="yellow" stroke="transparent" points="277,-729 277,-750 321,-750 321,-729 277,-729"/> +<polygon fill="none" stroke="black" points="277,-729 277,-750 321,-750 321,-729 277,-729"/> +<text text-anchor="start" x="280" y="-735.8" font-family="Times,serif" font-size="14.00">False</text> +</g> +<!-- If9->Start2 --> +<g id="edge2" class="edge"> +<title>If9->Start2:p0</title> +<path fill="none" stroke="red" d="M286.26,-784.2C288.21,-794.57 289.98,-806.42 290.68,-817.97"/> +<polygon fill="red" stroke="red" points="287.18,-818.12 291,-828 294.18,-817.89 287.18,-818.12"/> +<text text-anchor="middle" x="283.26" y="-786.8" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- If9->Start2 --> +<g id="edge3" class="edge"> +<title>If9->Start2:p1</title> +<path fill="none" stroke="black" d="M309.94,-784.28C317.27,-794.18 323.65,-805.76 326.02,-818.03"/> +<polygon fill="black" stroke="black" points="322.54,-818.39 327,-828 329.51,-817.71 322.54,-818.39"/> +<text text-anchor="middle" x="306.94" y="-786.88" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Con_13 --> +<g id="node7" class="node"> +<title>Con_13</title> +<ellipse fill="none" stroke="black" cx="279" cy="-394" rx="27" ry="18"/> +<text text-anchor="middle" x="279" y="-390.3" font-family="Times,serif" font-size="14.00">#1</text> +</g> +<!-- Con_14 --> +<g id="node8" class="node"> +<title>Con_14</title> +<ellipse fill="none" stroke="black" cx="413" cy="-852" rx="27" ry="18"/> +<text text-anchor="middle" x="413" y="-848.3" font-family="Times,serif" font-size="14.00">#2</text> +</g> +<!-- EQNode15 --> +<g id="node9" class="node"> +<title>EQNode15</title> +<ellipse fill="none" stroke="black" cx="413" cy="-752" rx="27" ry="18"/> +<text text-anchor="middle" x="413" y="-748.3" font-family="Times,serif" font-size="14.00">==</text> +</g> +<!-- EQNode15->Start2 --> +<g id="edge4" class="edge"> +<title>EQNode15->Start2:p1</title> +<path fill="none" stroke="black" d="M403.94,-769.18C391.81,-790 369.82,-824.8 352.53,-835.66"/> +<polygon fill="black" stroke="black" points="351.28,-832.39 343,-839 353.59,-838.99 351.28,-832.39"/> +<text text-anchor="middle" x="400.94" y="-771.78" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- EQNode15->Con_14 --> +<g id="edge5" class="edge"> +<title>EQNode15->Con_14</title> +<path fill="none" stroke="black" d="M413,-770.07C413,-784.88 413,-806.57 413,-823.77"/> +<polygon fill="black" stroke="black" points="409.5,-823.8 413,-833.8 416.5,-823.8 409.5,-823.8"/> +<text text-anchor="middle" x="410" y="-772.67" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- If16 --> +<g id="node10" class="node"> +<title>If16</title> +<polygon fill="yellow" stroke="transparent" points="380,-655 380,-680 474,-680 474,-655 380,-655"/> +<polygon fill="none" stroke="black" points="380,-655 380,-680 474,-680 474,-655 380,-655"/> +<text text-anchor="start" x="421.5" y="-663.8" font-family="Times,serif" font-size="14.00">If</text> +<polygon fill="none" stroke="black" points="380,-624 380,-655 474,-655 474,-624 380,-624"/> +<polygon fill="yellow" stroke="transparent" points="385,-629 385,-650 425,-650 425,-629 385,-629"/> +<polygon fill="none" stroke="black" points="385,-629 385,-650 425,-650 425,-629 385,-629"/> +<text text-anchor="start" x="388" y="-635.8" font-family="Times,serif" font-size="14.00">True</text> +<polygon fill="yellow" stroke="transparent" points="425,-629 425,-650 469,-650 469,-629 425,-629"/> +<polygon fill="none" stroke="black" points="425,-629 425,-650 469,-650 469,-629 425,-629"/> +<text text-anchor="start" x="428" y="-635.8" font-family="Times,serif" font-size="14.00">False</text> +</g> +<!-- If16->If9 --> +<g id="edge6" class="edge"> +<title>If16->If9:p0</title> +<path fill="none" stroke="red" d="M371.81,-671.79C331.47,-686.19 280.89,-705.86 263.34,-719.58"/> +<polygon fill="red" stroke="red" points="260.22,-717.91 257,-728 265.81,-722.12 260.22,-717.91"/> +<text text-anchor="middle" x="368.81" y="-665.39" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- If16->EQNode15 --> +<g id="edge7" class="edge"> +<title>If16->EQNode15</title> +<path fill="none" stroke="black" d="M422.57,-684.01C420.75,-696.76 418.66,-711.4 416.9,-723.73"/> +<polygon fill="black" stroke="black" points="413.4,-723.48 415.45,-733.87 420.33,-724.47 413.4,-723.48"/> +<text text-anchor="middle" x="419.57" y="-686.61" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Con_20 --> +<g id="node11" class="node"> +<title>Con_20</title> +<ellipse fill="none" stroke="black" cx="134" cy="-652" rx="27" ry="18"/> +<text text-anchor="middle" x="134" y="-648.3" font-family="Times,serif" font-size="14.00">#2</text> +</g> +<!-- Con_21 --> +<g id="node12" class="node"> +<title>Con_21</title> +<ellipse fill="none" stroke="black" cx="206" cy="-652" rx="27" ry="18"/> +<text text-anchor="middle" x="206" y="-648.3" font-family="Times,serif" font-size="14.00">#3</text> +</g> +<!-- Region22 --> +<g id="node13" class="node"> +<title>Region22</title> +<polygon fill="yellow" stroke="black" points="446,-584 380,-584 380,-548 446,-548 446,-584"/> +<text text-anchor="middle" x="413" y="-562.3" font-family="Times,serif" font-size="14.00">Region</text> +</g> +<!-- Region22->If16 --> +<g id="edge8" class="edge"> +<title>Region22->If16:p0</title> +<path fill="none" stroke="red" d="M409.56,-584.01C407.87,-593.54 406.04,-605.9 405.32,-617.98"/> +<polygon fill="red" stroke="red" points="401.82,-617.89 405,-628 408.81,-618.12 401.82,-617.89"/> +<text text-anchor="middle" x="406.56" y="-586.61" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Region22->If16 --> +<g id="edge9" class="edge"> +<title>Region22->If16:p1</title> +<path fill="none" stroke="red" d="M428.61,-584.03C435.66,-593.13 443.03,-605.06 445.83,-617.72"/> +<polygon fill="red" stroke="red" points="442.39,-618.46 447,-628 449.35,-617.67 442.39,-618.46"/> +<text text-anchor="middle" x="425.61" y="-586.63" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Phi_c23 --> +<g id="node14" class="node"> +<title>Phi_c23</title> +<ellipse fill="lightyellow" stroke="black" cx="170" cy="-566" rx="27" ry="18"/> +<text text-anchor="middle" x="170" y="-562.3" font-family="Times,serif" font-size="14.00">φ_c</text> +</g> +<!-- Phi_c23->Con_20 --> +<g id="edge11" class="edge"> +<title>Phi_c23->Con_20</title> +<path fill="none" stroke="black" d="M162.89,-583.6C157.81,-595.45 150.88,-611.62 145.08,-625.15"/> +<polygon fill="black" stroke="black" points="141.82,-623.87 141.1,-634.44 148.25,-626.63 141.82,-623.87"/> +<text text-anchor="middle" x="159.89" y="-586.2" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Phi_c23->Con_21 --> +<g id="edge12" class="edge"> +<title>Phi_c23->Con_21</title> +<path fill="none" stroke="black" d="M177.11,-583.6C182.19,-595.45 189.12,-611.62 194.92,-625.15"/> +<polygon fill="black" stroke="black" points="191.75,-626.63 198.9,-634.44 198.18,-623.87 191.75,-626.63"/> +<text text-anchor="middle" x="174.11" y="-586.2" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Phi_c23->Region22 --> +<g id="edge10" class="edge"> +<title>Phi_c23->Region22</title> +<path fill="none" stroke="black" stroke-dasharray="1,5" d="M197.05,-566C254.48,-566 311.91,-566 369.34,-566"/> +<polygon fill="black" stroke="black" points="369.68,-569.5 379.68,-566 369.68,-562.5 369.68,-569.5"/> +<text text-anchor="middle" x="200.05" y="-559.6" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- If24 --> +<g id="node15" class="node"> +<title>If24</title> +<polygon fill="yellow" stroke="transparent" points="375,-483 375,-508 469,-508 469,-483 375,-483"/> +<polygon fill="none" stroke="black" points="375,-483 375,-508 469,-508 469,-483 375,-483"/> +<text text-anchor="start" x="416.5" y="-491.8" font-family="Times,serif" font-size="14.00">If</text> +<polygon fill="none" stroke="black" points="375,-452 375,-483 469,-483 469,-452 375,-452"/> +<polygon fill="yellow" stroke="transparent" points="380,-457 380,-478 420,-478 420,-457 380,-457"/> +<polygon fill="none" stroke="black" points="380,-457 380,-478 420,-478 420,-457 380,-457"/> +<text text-anchor="start" x="383" y="-463.8" font-family="Times,serif" font-size="14.00">True</text> +<polygon fill="yellow" stroke="transparent" points="420,-457 420,-478 464,-478 464,-457 420,-457"/> +<polygon fill="none" stroke="black" points="420,-457 420,-478 464,-478 464,-457 420,-457"/> +<text text-anchor="start" x="423" y="-463.8" font-family="Times,serif" font-size="14.00">False</text> +</g> +<!-- If24->Start2 --> +<g id="edge14" class="edge"> +<title>If24->Start2:p1</title> +<path fill="none" stroke="black" d="M392.77,-512.23C384.4,-522.84 376.15,-535.26 371,-548 331.39,-645.92 367.43,-681.24 343,-784 339.09,-800.45 330.97,-805.48 328.06,-817.95"/> +<polygon fill="black" stroke="black" points="324.57,-817.69 327,-828 331.53,-818.42 324.57,-817.69"/> +<text text-anchor="middle" x="389.77" y="-514.83" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- If24->Region22 --> +<g id="edge13" class="edge"> +<title>If24->Region22</title> +<path fill="none" stroke="red" d="M418.65,-512.28C417.76,-520.58 416.81,-529.48 415.94,-537.56"/> +<polygon fill="red" stroke="red" points="412.45,-537.28 414.86,-547.6 419.41,-538.02 412.45,-537.28"/> +<text text-anchor="middle" x="415.65" y="-514.88" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Con_28 --> +<g id="node16" class="node"> +<title>Con_28</title> +<ellipse fill="none" stroke="black" cx="135" cy="-480" rx="27" ry="18"/> +<text text-anchor="middle" x="135" y="-476.3" font-family="Times,serif" font-size="14.00">#2</text> +</g> +<!-- Con_29 --> +<g id="node17" class="node"> +<title>Con_29</title> +<ellipse fill="none" stroke="black" cx="207" cy="-480" rx="27" ry="18"/> +<text text-anchor="middle" x="207" y="-476.3" font-family="Times,serif" font-size="14.00">#3</text> +</g> +<!-- Region30 --> +<g id="node18" class="node"> +<title>Region30</title> +<polygon fill="yellow" stroke="black" points="482,-412 416,-412 416,-376 482,-376 482,-412"/> +<text text-anchor="middle" x="449" y="-390.3" font-family="Times,serif" font-size="14.00">Region</text> +</g> +<!-- Region30->If24 --> +<g id="edge15" class="edge"> +<title>Region30->If24:p0</title> +<path fill="none" stroke="red" d="M424.79,-412.2C414.85,-420.99 404.86,-432.65 401.33,-446"/> +<polygon fill="red" stroke="red" points="397.85,-445.63 400,-456 404.79,-446.55 397.85,-445.63"/> +<text text-anchor="middle" x="421.79" y="-414.8" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Region30->If24 --> +<g id="edge16" class="edge"> +<title>Region30->If24:p1</title> +<path fill="none" stroke="red" d="M445.99,-412.03C444.51,-421.56 442.91,-433.93 442.28,-446"/> +<polygon fill="red" stroke="red" points="438.78,-445.91 442,-456 445.78,-446.1 438.78,-445.91"/> +<text text-anchor="middle" x="442.99" y="-414.63" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Phi_b31 --> +<g id="node19" class="node"> +<title>Phi_b31</title> +<ellipse fill="lightyellow" stroke="black" cx="135" cy="-394" rx="27.1" ry="18"/> +<text text-anchor="middle" x="135" y="-390.3" font-family="Times,serif" font-size="14.00">φ_b</text> +</g> +<!-- Phi_b31->Con_28 --> +<g id="edge18" class="edge"> +<title>Phi_b31->Con_28</title> +<path fill="none" stroke="black" d="M135,-412.4C135,-423.74 135,-438.77 135,-451.68"/> +<polygon fill="black" stroke="black" points="131.5,-451.9 135,-461.9 138.5,-451.9 131.5,-451.9"/> +<text text-anchor="middle" x="132" y="-415" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Phi_b31->Con_29 --> +<g id="edge19" class="edge"> +<title>Phi_b31->Con_29</title> +<path fill="none" stroke="black" d="M147.87,-410.02C158.93,-422.92 175.04,-441.71 187.65,-456.42"/> +<polygon fill="black" stroke="black" points="185.07,-458.8 194.24,-464.11 190.39,-454.24 185.07,-458.8"/> +<text text-anchor="middle" x="144.87" y="-412.62" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Phi_b31->Region30 --> +<g id="edge17" class="edge"> +<title>Phi_b31->Region30</title> +<path fill="none" stroke="black" stroke-dasharray="1,5" d="M149.22,-378.43C157.37,-370.68 168.29,-362.11 180,-358 224.67,-342.33 347.58,-344.66 393,-358 401.94,-360.63 410.81,-365.17 418.76,-370.16"/> +<polygon fill="black" stroke="black" points="417.05,-373.23 427.3,-375.91 420.96,-367.43 417.05,-373.23"/> +<text text-anchor="middle" x="146.22" y="-372.03" font-family="Helvetica,sans-Serif" font-size="8.00">0</text> +</g> +<!-- Region32 --> +<g id="node20" class="node"> +<title>Region32</title> +<polygon fill="yellow" stroke="black" points="390,-340 324,-340 324,-304 390,-304 390,-340"/> +<text text-anchor="middle" x="357" y="-318.3" font-family="Times,serif" font-size="14.00">Region</text> +</g> +<!-- Region32->If9 --> +<g id="edge21" class="edge"> +<title>Region32->If9:p1</title> +<path fill="none" stroke="red" d="M369.73,-340.15C376.29,-350.08 383.61,-363.12 387,-376 391.08,-391.47 392.32,-396.91 387,-412 380.17,-431.38 366.81,-429.44 358,-448 304.99,-559.76 299.28,-598.69 299.01,-717.76"/> +<polygon fill="red" stroke="red" points="295.51,-718 299,-728 302.51,-718 295.51,-718"/> +<text text-anchor="middle" x="366.73" y="-342.75" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Region32->Region30 --> +<g id="edge20" class="edge"> +<title>Region32->Region30</title> +<path fill="none" stroke="red" d="M379.74,-340.3C391.44,-349.2 405.86,-360.18 418.51,-369.8"/> +<polygon fill="red" stroke="red" points="416.44,-372.63 426.52,-375.9 420.68,-367.06 416.44,-372.63"/> +<text text-anchor="middle" x="376.74" y="-342.9" font-family="Helvetica,sans-Serif" font-size="8.00">1</text> +</g> +<!-- Phi_a33 --> +<g id="node21" class="node"> +<title>Phi_a33</title> +<ellipse fill="lightyellow" stroke="black" cx="279" cy="-322" rx="27" ry="18"/> +<text text-anchor="middle" x="279" y="-318.3" font-family="Times,serif" font-size="14.00">φ_a</text> +</g> +<!-- Phi_a33->Con_6 --> +<g id="edge24" class="edge"> +<title>Phi_a33->Con_6</title> +<path fill="none" stroke="black" d="M293.57,-337.17C303.75,-347.06 317.52,-360.45 329.03,-371.64"/> +<polygon fill="black" stroke="black" points="326.59,-374.15 336.2,-378.62 331.47,-369.13 326.59,-374.15"/> +<text text-anchor="middle" x="290.57" y="-339.77" font-family="Helvetica,sans-Serif" font-size="8.00">2</text> +</g> +<!-- Phi_a33->Con_13 --> +<g id="edge23" class="edge"> +<title>Phi_a33->Con_13</title> 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