prep for n-ary nodes

Cargo.toml

@@ -23,6 +23,7 @@ panic = "abort"
 debug = "full"
 
 [dependencies]
+arrayvec = "0.7.4"
 clap = { version = "4.5.1", features = ["derive"] }
 nohash-hasher = { version = "0.2.0" }
 stacker = "0.1.15"

benches/benches.rs

@@ -90,9 +90,21 @@ fn interact_benchmark(c: &mut Criterion) {
 
   let cases = [
     ("era-era", (Era, Era)),
-    ("era-con", (Era, Ctr { lab: 0, lft: Era.into(), rgt: Era.into() })),
-    ("con-con", ((Ctr { lab: 0, lft: Era.into(), rgt: Era.into() }), Ctr { lab: 0, lft: Era.into(), rgt: Era.into() })),
-    ("con-dup", ((Ctr { lab: 0, lft: Era.into(), rgt: Era.into() }), Ctr { lab: 2, lft: Era.into(), rgt: Era.into() })),
+    ("era-con", (Era, Ctr { lab: 0, ports: [Era.into(), Era.into()].into() })),
+    (
+      "con-con",
+      ((Ctr { lab: 0, ports: [Era.into(), Era.into()].into() }, Ctr {
+        lab: 0,
+        ports: [Era.into(), Era.into()].into(),
+      })),
+    ),
+    (
+      "con-dup",
+      ((Ctr { lab: 0, ports: [Era.into(), Era.into()].into() }, Ctr {
+        lab: 2,
+        ports: [Era.into(), Era.into()].into(),
+      })),
+    ),
   ];
 
   for (name, redex) in cases {

cspell.json

@@ -4,10 +4,12 @@
   "words": [
     "anni",
     "annihilations",
+    "arrayvec",
     "backlinks",
     "backoffs",
     "combinators",
     "condvar",
+    "ctrs",
     "dereferencable",
     "dref",
     "dups",
@@ -47,6 +49,7 @@
     "sigabrt",
     "skippable",
     "struct",
+    "succ",
     "supercombinators",
     "targ",
     "tids",

examples/church_encoding/church.hvmc

@@ -1,8 +1,8 @@
 @S = ((a (b c)) ({3 (c d) a} (b d)))
 @Z = (* (a a))
-@add = ((a (b c)) ((d (e b)) ({11 a d} (e c))))
+@add = ((a (b c)) ((d (e b)) ({9 a d} (e c))))
 @c2 = ({5 (a b) (c a)} (c b))
-@c3 = ({7 (a b) {9 (c a) (d c)}} (d b))
+@c3 = ({7 (a b) {7 (c a) (d c)}} (d b))
 @c4 = a
 & @S ~ (b a)
 & @S ~ (c b)

examples/lambda_calculus/hoas.hvmc

@@ -16,22 +16,22 @@
 & @App ~ (b (d f))
 @C3 = a
 & @Lam ~ (@C3$S0 a)
-@C3$S0 = ({5 a {7 b c}} d)
+@C3$S0 = ({5 a {5 b c}} d)
 & @Lam ~ ((e f) d)
 & @App ~ (a (g f))
 & @App ~ (b (h g))
 & @App ~ (c (e h))
 @C4 = a
 & @Lam ~ (@C4$S0 a)
-@C4$S0 = ({9 a {11 b {13 c d}}} e)
+@C4$S0 = ({7 a {7 b {7 c d}}} e)
 & @Lam ~ ((f g) e)
 & @App ~ (a (h g))
 & @App ~ (b (i h))
 & @App ~ (c (j i))
 & @App ~ (d (f j))
 @C6 = a
 & @Lam ~ (@C6$S0 a)
-@C6$S0 = ({15 a {17 b {19 c {21 d {23 e f}}}}} g)
+@C6$S0 = ({9 a {9 b {9 c {9 d {9 e f}}}}} g)
 & @Lam ~ ((h i) g)
 & @App ~ (a (j i))
 & @App ~ (b (k j))
@@ -41,7 +41,7 @@
 & @App ~ (f (h n))
 @C8 = a
 & @Lam ~ (@C8$S0 a)
-@C8$S0 = ({25 a {27 b {29 c {31 d {33 e {35 f g}}}}}} h)
+@C8$S0 = ({11 a {11 b {11 c {11 d {11 e {11 f g}}}}}} h)
 & @Lam ~ ((i j) h)
 & @App ~ (a (k j))
 & @App ~ (b (l k))
@@ -53,14 +53,14 @@
 @CS = a
 & @Lam ~ (@CS$S0 a)
 @CS$S0 = (a b)
-& @Lam ~ (({37 c d} e) b)
+& @Lam ~ (({13 c d} e) b)
 & @Lam ~ ((f g) e)
 & @App ~ (c (h g))
 & @App ~ (i (f h))
 & @App ~ (a (d i))
 @FOO = a
 & @Lam ~ (@FOO$S0 a)
-@FOO$S0 = ({39 a b} c)
+@FOO$S0 = ({15 a b} c)
 & @App ~ (a (b c))
 @False = a
 & @Lam ~ (@False$S0 a)

examples/machine_u32/num_match.hvmc

@@ -1,4 +1,5 @@
 @main = a
 & @pred ~ (#10 a)
-@pred = (?<(#0 (a a)) b> b)
+@pred = (?<(a b) d> d)
+& (a b) ~ (#0 (c c))
 

examples/sort/bitonic/bitonic_sort_lam.hvmc

@@ -13,7 +13,8 @@
 @flow$S1 = (a (b ({5 c d} e)))
 & @down ~ (f (d e))
 & @warp ~ (a (b (c f)))
-@gen = (?<(@gen$S0 @gen$S1) a> a)
+@gen = (?<(a b) c> c)
+& (a b) ~ (@gen$S0 @gen$S1)
 @gen$S0 = (a b)
 & @Leaf ~ (a b)
 @gen$S1 = ({7 a b} ({9 <* #2 c> <* #2 <+ #1 d>>} e))
@@ -55,7 +56,8 @@
 @sum$S0 = (a (b c))
 & @sum ~ (a <+ d c>)
 & @sum ~ (b d)
-@swap = (?<(@swap$S0 @swap$S2) a> a)
+@swap = (?<(a b) c> c)
+& (a b) ~ (@swap$S0 @swap$S2)
 @swap$S0 = (a (b c))
 & @Node ~ (a (b c))
 @swap$S1 = (a (b c))

examples/sort/merge/merge_sort.hvmc

@@ -1,7 +1,7 @@
-@Leaf = (a {8 {10 a b} {8 * b}})
-@List.cons = (a (b {2 {6 a {4 b c}} {2 * c}}))
+@Leaf = (a {4 {4 a b} {4 * b}})
+@List.cons = (a (b {2 {2 a {2 b c}} {2 * c}}))
 @List.nil = {2 * {2 a a}}
-@Node = (a (b {8 * {8 {14 a {12 b c}} c}}))
+@Node = (a (b {4 * {4 {4 a {4 b c}} c}}))
 @main = a
 & @sum ~ (b a)
 & @sort ~ (c b)
@@ -12,13 +12,15 @@
 @merge$S1 = (a (b (c ((c (a (b d))) d))))
 @merge$S2 = (a (b (c ((a (b (c d))) d))))
 @merge$S3 = (* @merge$S2)
-@merge$S4 = ({3 a b} (c ({5 << a ?<(@merge$S1 @merge$S3) d>> e} (f g))))
-& ((h ((i i) (j k))) k) ~ (d (((l m) ((f n) ((c o) m))) g))
-& @merge ~ (n (o l))
-& @List.cons ~ (b j)
-& @List.cons ~ (e h)
+@merge$S4 = ({3 a b} (c ({5 << a ?<(d e) f>> g} (h i))))
+& (d e) ~ (@merge$S1 @merge$S3)
+& ((j ((k k) (l m))) m) ~ (f (((n o) ((h p) ((c q) o))) i))
+& @merge ~ (p (q n))
+& @List.cons ~ (b l)
+& @List.cons ~ (g j)
 @merge$S5 = (a (b ((@merge$S0 (@merge$S4 (a (b c)))) c)))
-@range = (?<(@range$S0 @range$S1) a> a)
+@range = (?<(a b) c> c)
+& (a b) ~ (@range$S0 @range$S1)
 @range$S0 = (a b)
 & @Leaf ~ (a b)
 @range$S1 = ({7 a b} ({9 <* #2 <+ #1 c>> <* #2 d>} e))

examples/sort/radix/radix_sort_lam.hvmc

@@ -5,10 +5,11 @@
 @Single = (a (* ((a b) (* b))))
 @Used = (* @Used$S0)
 @Used$S0 = (a (* a))
-@gen = (?<(@gen$S0 @gen$S1) a> a)
+@gen = (?<(a b) c> c)
+& (a b) ~ (@gen$S0 @gen$S1)
 @gen$S0 = (a b)
 & @Single ~ (a b)
-@gen$S1 = ({51 a b} (<<< #1 {53 c <| #1 d>}> e))
+@gen$S1 = ({7 a b} (<<< #1 {9 c <| #1 d>}> e))
 & @Concat ~ (f (g e))
 & @gen ~ (b (d g))
 & @gen ~ (a (c f))
@@ -33,7 +34,7 @@
 & @merge ~ (d (b g))
 & @merge ~ (c (a f))
 @merge$S9 = (a (b ((@merge$S5 (@merge$S7 (@merge$S8 (a (b c))))) c)))
-@radix = ({3 <& #8388608 a> {5 <& #4194304 b> {7 <& #2097152 c> {9 <& #1048576 d> {11 <& #524288 e> {13 <& #262144 f> {15 <& #131072 g> {17 <& #65536 h> {19 <& #32768 i> {21 <& #16384 j> {23 <& #8192 k> {25 <& #4096 l> {27 <& #2048 m> {29 <& #1024 n> {31 <& #512 o> {33 <& #256 p> {35 <& #128 q> {37 <& #64 r> {39 <& #32 s> {41 <& #16 t> {43 <& #8 u> {45 <& #4 v> {47 <& #2 w> <& #1 x>}}}}}}}}}}}}}}}}}}}}}}} y)
+@radix = ({3 <& #8388608 a> {3 <& #4194304 b> {3 <& #2097152 c> {3 <& #1048576 d> {3 <& #524288 e> {3 <& #262144 f> {3 <& #131072 g> {3 <& #65536 h> {3 <& #32768 i> {3 <& #16384 j> {3 <& #8192 k> {3 <& #4096 l> {3 <& #2048 m> {3 <& #1024 n> {3 <& #512 o> {3 <& #256 p> {3 <& #128 q> {3 <& #64 r> {3 <& #32 s> {3 <& #16 t> {3 <& #8 u> {3 <& #4 v> {3 <& #2 w> <& #1 x>}}}}}}}}}}}}}}}}}}}}}}} y)
 & @swap ~ (a (z (@Free y)))
 & @swap ~ (b (ab (@Free z)))
 & @swap ~ (c (bb (@Free ab)))
@@ -72,7 +73,8 @@
 @sum$S0 = (a (b c))
 & @sum ~ (a <+ d c>)
 & @sum ~ (b d)
-@swap = (?<(@swap$S0 @swap$S2) a> a)
+@swap = (?<(a b) c> c)
+& (a b) ~ (@swap$S0 @swap$S2)
 @swap$S0 = (a (b c))
 & @Node ~ (a (b c))
 @swap$S1 = (a (b c))
@@ -82,7 +84,7 @@
 @to_arr$S0 = (* @Empty)
 @to_arr$S1 = (a b)
 & @Single ~ (a b)
-@to_arr$S2 = (a (b ({49 <* #2 <+ #1 c>> <* #2 <+ #0 d>>} e)))
+@to_arr$S2 = (a (b ({5 <* #2 <+ #1 c>> <* #2 <+ #0 d>>} e)))
 & @Concat ~ (f (g e))
 & @to_arr ~ (b (c g))
 & @to_arr ~ (a (d f))