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Merge pull request #184 from HEPLean/IndexNotation

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refactor: Update dot file for index notation
This commit is contained in:
Joseph Tooby-Smith 2024-10-08 16:43:06 +00:00 • committed by GitHub
commit 45be559bd0
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2 changed files with 27 additions and 23 deletions
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48
HepLean/Tensors/Tree/Dot.lean
View file

@ -19,48 +19,52 @@ namespace TensorTree
/-- Turns a nodes of tensor trees into nodes and edges of a dot file. -/
def dotString (m : ℕ) (nt : ℕ): ∀ {n : ℕ} {c : Fin n → S.C}, TensorTree S c → String := fun
| tensorNode _ =>
"node" ++ toString m ++ " [label=\"T" ++ toString nt ++ "\"];\n"
" node" ++ toString m ++ " [label=\"T" ++ toString nt ++ "\"];\n"
| add t1 t2 =>
let addNode := "node" ++ toString m ++ " [label=\"+\", shape=box];\n"
let edge1 := "node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
let edge2 := "node" ++ toString m ++ " -> node" ++ toString (m + 2) ++ ";\n"
let addNode := " node" ++ toString m ++ " [label=\"+\", shape=box];\n"
let edge1 := " node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
let edge2 := " node" ++ toString m ++ " -> node" ++ toString (m + 2) ++ ";\n"
addNode ++ dotString (m + 1) nt t1 ++ dotString (m + 2) (nt + 1) t2 ++ edge1 ++ edge2
| perm σ t =>
let permNode := "node" ++ toString m ++ " [label=\"perm\", shape=box];\n"
let edge1 := "node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
let permNode := " node" ++ toString m ++ " [label=\"perm\", shape=box];\n"
let edge1 := " node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
permNode ++ dotString (m + 1) nt t ++ edge1
| prod t1 t2 =>
let prodNode := "node" ++ toString m ++ " [label=\"⊗\", shape=box];\n"
let edge1 := "node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
let edge2 := "node" ++ toString m ++ " -> node" ++ toString (m + 2) ++ ";\n"
prodNode ++ dotString (m + 1) nt t1 ++ dotString (m + 2) (nt + 1) t2 ++ edge1 ++ edge2
let prodNode := " node" ++ toString m ++ " [label=\"⊗\", shape=box];\n"
let edge1 := " node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
let edge2 := " node" ++ toString m ++ " -> node" ++ toString (2 * t1.size + m + 2) ++ ";\n"
prodNode ++ dotString (m + 1) nt t1 ++ dotString (2 * t1.size + m + 2) (nt + 1) t2
++ edge1 ++ edge2
| smul k t =>
let smulNode := "node" ++ toString m ++ " [label=\"smul\", shape=box];\n"
let edge1 := "node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
let smulNode := " node" ++ toString m ++ " [label=\"smul\", shape=box];\n"
let edge1 := " node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
smulNode ++ dotString (m + 1) nt t ++ edge1
| mult _ _ t1 t2 =>
let multNode := "node" ++ toString m ++ " [label=\"mult\", shape=box];\n"
let edge1 := "node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
let edge2 := "node" ++ toString m ++ " -> node" ++ toString (m + 2) ++ ";\n"
multNode ++ dotString (m + 1) nt t1 ++ dotString (m + 2) (nt + 1) t2 ++ edge1 ++ edge2
let multNode := " node" ++ toString m ++ " [label=\"mult\", shape=box];\n"
let edge1 := " node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
let edge2 := " node" ++ toString m ++ " -> node" ++ toString (t1.size + m + 2) ++ ";\n"
multNode ++ dotString (m + 1) nt t1 ++ dotString (2 * t1.size + m + 2) (nt + 1) t2
++ edge1 ++ edge2
| eval _ _ t1 =>
let evalNode := "node" ++ toString m ++ " [label=\"eval\", shape=box];\n"
let edge1 := "node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
let evalNode := " node" ++ toString m ++ " [label=\"eval\", shape=box];\n"
let edge1 := " node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
evalNode ++ dotString (m + 1) nt t1 ++ edge1
| jiggle i t1 =>
let jiggleNode := "node" ++ toString m ++ " [label=\"jiggle\", shape=box];\n"
let edge1 := "node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
let jiggleNode := " node" ++ toString m ++ " [label=\"τ\", shape=box];\n"
let edge1 := " node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
jiggleNode ++ dotString (m + 1) nt t1 ++ edge1
| contr i j t1 =>
let contrNode := "node" ++ toString m ++ " [label=\"contr " ++ toString i ++ " "
let contrNode := " node" ++ toString m ++ " [label=\"contr " ++ toString i ++ " "
++ toString j ++ "\", shape=box];\n"
let edge1 := "node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
let edge1 := " node" ++ toString m ++ " -> node" ++ toString (m + 1) ++ ";\n"
contrNode ++ dotString (m + 1) nt t1 ++ edge1
/-- Used to form a dot graph from a tensor tree. use e.g.
`#tensor_dot {T4 | i j l d ⊗ T5 | i j k a b}ᵀ.dot`.
Dot files can be viewed by copying and pasting into: https://dreampuf.github.io/GraphvizOnline. -/
def dot {n : ℕ} {c : Fin n → S.C} (t : TensorTree S c) : String :=
"// Dot file created by HepLean for a tensor expression.
// Can be viewed at https://dreampuf.github.io/GraphvizOnline/\n" ++
"digraph G {\n" ++ dotString 0 0 t ++ "}"
section dotElab

2
HepLean/Tensors/Tree/Elab.lean
View file

@ -300,7 +300,7 @@ variable (𝓣 : TensorTree S c4)
-/
/-
#tensor_dot {T4 | i j l d ⊗ T5 | i j k m m}ᵀ.dot
#tensor_dot {T4 | i j τ(l) d ⊗ T5 | i j k m m}ᵀ.dot
#check {T4 | i j l d ⊗ T5 | i j k a b}ᵀ