From e4dc3273f201ae741637b626998637cce973546b Mon Sep 17 00:00:00 2001 From: Cliff Click Date: Fri, 2 Oct 2026 13:04:34 -0700 Subject: First pass README updates --- chapter12/docs/lattice.gv | 313 +++++------ chapter12/docs/lattice.svg | 1306 ++++++++++++++++++++++++-------------------- 2 files changed, 841 insertions(+), 778 deletions(-) (limited to 'chapter12/docs') diff --git a/chapter12/docs/lattice.gv b/chapter12/docs/lattice.gv index 23b3f7a7..f3b5051c 100644 --- a/chapter12/docs/lattice.gv +++ b/chapter12/docs/lattice.gv @@ -1,182 +1,135 @@ digraph Lattice { - compound = true; - // Define nodes - splines=false; - node [shape=circle, style=filled]; - nodesep=0.6; - - TOP [label=<⊤>, fillcolor=black, fontcolor=white]; - BOT [label=<⊥>, fillcolor=black, fontcolor=white]; - - // ---------------------- - // Control - XCTRL [label=<⊤:ctrl>, fillcolor=yellow, shape=oval]; - CTRL [label=<⊥:ctrl>, fillcolor=yellow, shape=oval]; - - TOP -> XCTRL; - XCTRL -> CTRL; - CTRL -> BOT; - - // ---------------------- - // Integers - INT_TOP [label=<⊤:int>, fillcolor=lightblue, shape=oval]; - INT_BOT [label=<⊥: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]; - - // ---------------------- - // Floats - FLT_TOP [label=<⊤:flt>, fillcolor=aqua, shape=oval]; - FLT_BOT [label=<⊥:flt>, fillcolor=aqua, shape=oval]; - - FLT_MINDOTS [label="...", fillcolor=aqua, shape=oval]; - FLT_ZERO [label="0" , fillcolor=aqua]; - FLT_MAXDOTS [label="...", fillcolor=aqua, shape=oval]; - - TOP -> FLT_TOP; - FLT_TOP -> FLT_MINDOTS; - FLT_TOP -> FLT_ZERO; - FLT_TOP -> FLT_MAXDOTS; - FLT_MINDOTS -> FLT_BOT; - FLT_ZERO -> FLT_BOT; - FLT_MAXDOTS -> FLT_BOT; - FLT_BOT -> BOT; - - FLT_MINDOTS -> FLT_ZERO -> FLT_MAXDOTS [style=invis]; - - // ---------------------- - // Pointers, just a boolean nil/not and a struct - PTR [shape=none, fillcolor=none, label=< - - - -
*ptr
struct
- >]; - PTR0 [shape=none, fillcolor=none, label=< - - - -
*ptr?
struct
- >]; - - TOP -> PTR; - PTR -> PTR0; - PTR0 -> BOT; - - // ---------------------- - // Structs - STRUCT_TOP [label=<⊤:struct>, fillcolor=lightgreen, shape=oval]; - STRUCT_BOT [label=<⊥:struct>, fillcolor=lightgreen, shape=oval]; - - STRUCT_S1 [shape=none, fillcolor=none, label=< - - -
fieldint/ptr
- >]; - STRUCT_S2 [shape=none, fillcolor=none, label=< - - - -
fieldint/ptr
fieldint/ptr
- >]; - STRUCT_SN [shape=none, fillcolor=none, label=< - - - - -
fieldint/ptr
... int/ptr
fieldint/ptr
- >]; - - - 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=<⊤:mem>, fillcolor=blue, fontcolor=white, shape=oval]; - MEM_BOT [label=<⊥:mem>, fillcolor=blue, fontcolor=white, shape=oval]; - MEM_ALIAS1 [label="#1" , fillcolor=blue, fontcolor=white]; - MEM_ALIASDOTS [label="..." , fillcolor=blue, fontcolor=white, shape=oval]; - MEM_ALIASN [label="#n" , fillcolor=blue, fontcolor=white]; - - TOP -> MEM_TOP; - MEM_TOP -> MEM_ALIAS1; - MEM_TOP -> MEM_ALIASDOTS; - MEM_TOP -> MEM_ALIASN; - MEM_ALIAS1 -> MEM_BOT; - MEM_ALIASDOTS -> MEM_BOT; - MEM_ALIASN -> MEM_BOT; - MEM_BOT -> BOT; - - MEM_ALIAS1 -> MEM_ALIASDOTS -> MEM_ALIASN [style=invis]; - - // ---------------------- - // Tuples - - TUPLE_TOP [label=<⊤:tuple>, fillcolor=pink, shape=oval]; - TUPLE_BOT [label=<⊥:tuple>, fillcolor=pink, shape=oval]; - - TUPLE1 [shape=none, fillcolor=none, label=< - - - -
Tuple
type
- >]; - TUPLE2 [shape=none, fillcolor=none, label=< - - - - -
Tuple
type
type
- >]; - TUPLEN [shape=none, fillcolor=none, label=< - - - - - -
Tuple
type
...
type
- >]; - - - 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; FLT_TOP; XCTRL; STRUCT_TOP; MEM_TOP; TUPLE_TOP} - {rank=same; INT_MINDOTS; INT_ZERO; INT_MAXDOTS; - FLT_MINDOTS; FLT_ZERO; FLT_MAXDOTS; - STRUCT_S1; STRUCT_S2; STRUCT_SN; - MEM_ALIAS1; MEM_ALIASDOTS; MEM_ALIASN;} - {rank=same; INT_BOT; FLT_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_float { + label="Float"; fontname="Arial"; color="#cccccc"; + FLT_TOP [label=<⊤:flt>, fillcolor=aqua, shape=oval]; + FLT_BOT [label=<⊥:flt>, fillcolor=aqua, shape=oval]; + + FLT_MINDOTS [label="… negative constants", fillcolor=aqua, shape=oval]; + FLT_ZERO [label="0.0" , fillcolor=aqua]; + FLT_MAXDOTS [label="positive constants …", fillcolor=aqua, shape=oval]; + + FLT_TOP -> FLT_MINDOTS; + FLT_TOP -> FLT_ZERO; + FLT_TOP -> FLT_MAXDOTS; + FLT_MINDOTS -> FLT_BOT; + FLT_ZERO -> FLT_BOT; + FLT_MAXDOTS -> FLT_BOT; + + FLT_MINDOTS -> FLT_ZERO -> FLT_MAXDOTS [style=invis]; + + {rank=same; FLT_MINDOTS; FLT_ZERO; FLT_MAXDOTS;} + } + + 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: flt", 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\nprecise alias slices"; fontname="Arial"; color="#cccccc"; + node [fillcolor="#00008b", fontcolor=white]; + MEM_TOP [label="⊤:mem"]; + MEM_BOT [label="⊥:mem"]; + MEM_ALIAS2 [label="MEM#2"]; + MEM_ALIAS3 [label="MEM#3"]; + MEM_MORE [label="…"]; + {rank=same; MEM_ALIAS2; MEM_ALIAS3; MEM_MORE;} + MEM_ALIAS2 -> MEM_ALIAS3 -> MEM_MORE [style=invis]; + MEM_TOP -> {MEM_ALIAS2 MEM_ALIAS3 MEM_MORE}; + {MEM_ALIAS2 MEM_ALIAS3 MEM_MORE} -> 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 FLT_TOP PTR_TOP STRUCT_TOP MEM_TOP TUPLE_TOP}; + {CTRL INT_BOT FLT_BOT PTR_BOT STRUCT_BOT MEM_BOT TUPLE_BOT} -> BOT; + {rank=same; XCTRL; INT_TOP; FLT_TOP; PTR_TOP; STRUCT_TOP; MEM_TOP; TUPLE_TOP;} + {rank=same; CTRL; INT_BOT; FLT_BOT; PTR_BOT; STRUCT_BOT; MEM_BOT; TUPLE_BOT;} + XCTRL -> INT_TOP -> FLT_TOP -> PTR_TOP -> STRUCT_TOP -> MEM_TOP -> TUPLE_TOP [style=invis]; } diff --git a/chapter12/docs/lattice.svg b/chapter12/docs/lattice.svg index 1bb4f692..bc64abb6 100644 --- a/chapter12/docs/lattice.svg +++ b/chapter12/docs/lattice.svg @@ -1,598 +1,708 @@ - - - - - - -Lattice - - - -TOP - -⊤ - - - -XCTRL - -⊤ -:ctrl - - - -TOP->XCTRL - - - - - -INT_TOP - -⊤ -:int - - - -TOP->INT_TOP - - - - - -FLT_TOP - -⊤ -:flt - - - -TOP->FLT_TOP - - - - - -PTR - - - -*ptr - - -struct - - - -TOP->PTR - - - - - -STRUCT_TOP - -⊤ -:struct - - - -TOP->STRUCT_TOP - - - - - -MEM_TOP - -⊤ -:mem - - - -TOP->MEM_TOP - - - - - -TUPLE_TOP - -⊤ -:tuple - - - -TOP->TUPLE_TOP - - - - - -BOT - -⊥ - - - -CTRL - -⊥ -:ctrl - - - -XCTRL->CTRL - - - - - -CTRL->BOT - - - - - -INT_MINDOTS - -... - - - -INT_TOP->INT_MINDOTS - - - - - -INT_ZERO - -0 - - - -INT_TOP->INT_ZERO - - - - - -INT_MAXDOTS - -... - - - -INT_TOP->INT_MAXDOTS - - - - - -INT_BOT - -⊥ -:int - - - -INT_BOT->BOT - - - - - -INT_MINDOTS->INT_BOT - - - - - - -INT_ZERO->INT_BOT - - - - - - -INT_MAXDOTS->INT_BOT - - - - - -FLT_MINDOTS - -... - - - -FLT_TOP->FLT_MINDOTS - - - - - -FLT_ZERO - -0 - - - -FLT_TOP->FLT_ZERO - - - - - -FLT_MAXDOTS - -... - - - -FLT_TOP->FLT_MAXDOTS - - - - - -FLT_BOT - -⊥ -:flt - - - -FLT_BOT->BOT - - - - - -FLT_MINDOTS->FLT_BOT - - - - - - -FLT_ZERO->FLT_BOT - - - - - - -FLT_MAXDOTS->FLT_BOT - - - - - -PTR0 - - - -*ptr? - - -struct - - - -PTR->PTR0 - - - - - -PTR0->BOT - - - - - -STRUCT_S1 - - - -field - - - - - - - - -int/ptr - - - -STRUCT_TOP->STRUCT_S1 - - - - - -STRUCT_S2 - - - -field - - - - - - - - -int/ptr - - -field - - - - - - - - -int/ptr - - - -STRUCT_TOP->STRUCT_S2 - - - - - -STRUCT_SN - - - -field - - - - - - - - -int/ptr - - -...   - - - - - - - - -int/ptr - - -field - - - - - - - - -int/ptr - - - -STRUCT_TOP->STRUCT_SN - - - - - -STRUCT_BOT - -⊥ -:struct - - - -STRUCT_BOT->BOT - - - - - -STRUCT_S1->STRUCT_BOT - - - - - - -STRUCT_S2->STRUCT_BOT - - - - - - -STRUCT_SN->STRUCT_BOT - - - - - -MEM_ALIAS1 - -#1 - - - -MEM_TOP->MEM_ALIAS1 - - - - - -MEM_ALIASDOTS - -... - - - -MEM_TOP->MEM_ALIASDOTS - - - - - -MEM_ALIASN - -#n - - - -MEM_TOP->MEM_ALIASN - - - - - -MEM_BOT - -⊥ -:mem - - - -MEM_BOT->BOT - - - - - -MEM_ALIAS1->MEM_BOT - - - - - - -MEM_ALIASDOTS->MEM_BOT - - - - - - -MEM_ALIASN->MEM_BOT - - - - - -TUPLE1 - - - -Tuple - - -type - - - -TUPLE_TOP->TUPLE1 - - - - - -TUPLE2 - - - -Tuple - - -type - - -type - - - -TUPLE_TOP->TUPLE2 - - - - - -TUPLEN - - - -Tuple - - -type - - -... - - -type - - - -TUPLE_TOP->TUPLEN - - - - - -TUPLE_BOT - -⊥ -:tuple - - - -TUPLE_BOT->BOT - - - - - 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+MEM_TOP->MEM_ALIAS3 + + + + + +MEM_MORE + +… + + + +MEM_TOP->MEM_MORE + + + + + + +MEM_BOT + +⊥:mem + + + +MEM_BOT->BOT + + + + + +MEM_ALIAS2->MEM_BOT + + + + + + +MEM_ALIAS3->MEM_BOT + + + + + + +MEM_MORE->MEM_BOT + + + + + +TUPLE1 + +(type) + + + +TUPLE_TOP->TUPLE1 + + + + + +TUPLE2 + +(type, type) + + + +TUPLE_TOP->TUPLE2 + + + + + +TUPLEN + +(type, …) + + + +TUPLE_TOP->TUPLEN + + + + + +TUPLE_BOT + +⊥:tuple + + + +TUPLE_BOT->BOT + + + + + +TUPLE1->TUPLE_BOT + + + + + + +TUPLE2->TUPLE_BOT + + + + + + +TUPLEN->TUPLE_BOT + + + + + -- cgit v1.2.3