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authorCliff Click <cliffc@acm.org>2026-09-29 12:21:46 -0700
committerCliff Click <cliffc@acm.org>2026-09-29 12:21:46 -0700
commit3ba6686fc991998a0a420709dfb0012bbddf77ab (patch)
tree6da4371d0ac6a0e17cfc31dad2275f1331ab3edb /chapter10a/docs/lattice.gv
parentfa7d56f72455828826d0ab7e1c142ca814e6e2aa (diff)
downloadSimple-ch10ab.tar.gz
Simple-ch10ab.zip
Backport lazy memory splits to ch10, split into ch10a and bch10ab
Diffstat (limited to 'chapter10a/docs/lattice.gv')
-rw-r--r--chapter10a/docs/lattice.gv255
1 files changed, 106 insertions, 149 deletions
diff --git a/chapter10a/docs/lattice.gv b/chapter10a/docs/lattice.gv
index b2d8255e..733a5287 100644
--- a/chapter10a/docs/lattice.gv
+++ b/chapter10a/docs/lattice.gv
@@ -1,151 +1,108 @@
digraph Lattice {
- compound = true;
- // Define nodes
- splines=false;
- node [shape=circle, style=filled];
- nodesep=0.6;
-
- TOP [label=<<B>⊤</B >>, fillcolor=black, fontcolor=white];
- BOT [label=<<B>⊥</B>>, fillcolor=black, fontcolor=white];
-
- // ----------------------
- // Control
- XCTRL [label=<<B>⊤</B >:ctrl>, fillcolor=yellow, shape=oval];
- CTRL [label=<<B>⊥</B>:ctrl>, fillcolor=yellow, shape=oval];
-
- TOP -> XCTRL;
- XCTRL -> CTRL;
- CTRL -> BOT;
-
- // ----------------------
- // Integers
- INT_TOP [label=<<B>⊤</B >:int>, fillcolor=lightblue, shape=oval];
- INT_BOT [label=<<B>⊥</B>:int>, fillcolor=lightblue, shape=oval];
-
- INT_MINDOTS [label="...", fillcolor=lightblue, shape=oval];
- INT_ZERO [label="0" , fillcolor=lightblue];
- INT_MAXDOTS [label="...", fillcolor=lightblue, shape=oval];
-
- TOP -> INT_TOP;
- INT_TOP -> INT_MINDOTS;
- INT_TOP -> INT_ZERO;
- INT_TOP -> INT_MAXDOTS;
- INT_MINDOTS -> INT_BOT;
- INT_ZERO -> INT_BOT;
- INT_MAXDOTS -> INT_BOT;
- INT_BOT -> BOT;
-
- INT_MINDOTS -> INT_ZERO -> INT_MAXDOTS [style=invis];
-
- // ----------------------
- // Pointers, just a boolean nil/not and a struct
- PTR [shape=none, fillcolor=none, label=<
- <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
- <TR><TD BGCOLOR="green"><FONT color="white">*ptr</FONT></TD></TR>
- <TR><TD BGCOLOR="lightgreen">struct</TD></TR>
- </TABLE>
- >];
- PTR0 [shape=none, fillcolor=none, label=<
- <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
- <TR><TD BGCOLOR="green"><FONT color="white">*ptr?</FONT></TD></TR>
- <TR><TD BGCOLOR="lightgreen">struct</TD></TR>
- </TABLE>
- >];
-
- TOP -> PTR;
- PTR -> PTR0;
- PTR0 -> BOT;
-
- // ----------------------
- // Structs
- STRUCT_TOP [label=<<B>⊤</B >:struct>, fillcolor=lightgreen, shape=oval];
- STRUCT_BOT [label=<<B>⊥</B>:struct>, fillcolor=lightgreen, shape=oval];
-
- STRUCT_S1 [shape=none, fillcolor=none, label=<
- <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
- <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
- </TABLE>
- >];
- STRUCT_S2 [shape=none, fillcolor=none, label=<
- <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
- <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
- <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
- </TABLE>
- >];
- STRUCT_SN [shape=none, fillcolor=none, label=<
- <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
- <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
- <TR><TD BGCOLOR="lightgreen">... </TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
- <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
- </TABLE>
- >];
-
-
- TOP -> STRUCT_TOP;
- STRUCT_TOP -> STRUCT_S1;
- STRUCT_TOP -> STRUCT_S2;
- STRUCT_TOP -> STRUCT_SN;
- STRUCT_S1 -> STRUCT_BOT;
- STRUCT_S2 -> STRUCT_BOT;
- STRUCT_SN -> STRUCT_BOT;
- STRUCT_BOT -> BOT;
-
- STRUCT_S1 -> STRUCT_S2 -> STRUCT_SN [style=invis];
-
- // ----------------------
- // Memory
- MEM_TOP [label=<<B>⊤</B >:mem>, fillcolor=blue, fontcolor=white, shape=oval];
- MEM_BOT [label=<<B>⊥</B>:mem>, fillcolor=blue, fontcolor=white, shape=oval];
-
- TOP -> MEM_TOP;
- MEM_TOP -> MEM_BOT;
- MEM_BOT -> BOT;
-
-
- // ----------------------
- // Tuples
-
- TUPLE_TOP [label=<<B>⊤</B >:tuple>, fillcolor=pink, shape=oval];
- TUPLE_BOT [label=<<B>⊥</B>:tuple>, fillcolor=pink, shape=oval];
-
- TUPLE1 [shape=none, fillcolor=none, label=<
- <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
- <TR><TD BGCOLOR="pink">Tuple</TD></TR>
- <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
- </TABLE>
- >];
- TUPLE2 [shape=none, fillcolor=none, label=<
- <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
- <TR><TD BGCOLOR="pink">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=none, fillcolor=none, label=<
- <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
- <TR><TD BGCOLOR="pink">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>
- >];
-
-
- TOP -> TUPLE_TOP;
- TUPLE_TOP -> TUPLE1;
- TUPLE_TOP -> TUPLE2;
- TUPLE_TOP -> TUPLEN;
- TUPLE1 -> TUPLE_BOT;
- TUPLE2 -> TUPLE_BOT;
- TUPLEN -> TUPLE_BOT;
- TUPLE_BOT -> BOT;
-
- // ----------------------
- // Additional customization
- {rank=same; TOP;}
- {rank=same; INT_TOP; XCTRL; STRUCT_TOP; MEM_TOP; TUPLE_TOP}
- {rank=same; INT_MINDOTS; INT_ZERO; INT_MAXDOTS;
- STRUCT_S1; STRUCT_S2; STRUCT_SN;}
- {rank=same; INT_BOT; CTRL; STRUCT_BOT; MEM_BOT; TUPLE_BOT}
- {rank=same; BOT;}
+ 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: *s1", 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"];
+ TUPLE1 [label="(type)", shape=box];
+ TUPLE2 [label="(type, type)", shape=box];
+ TUPLEN [label="(type, …)", shape=box];
+ {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];
}