6592cd058d
git-subtree-dir: octive-lean git-subtree-mainline:fd3d42ae33git-subtree-split:4b6fcec565
237 lines
8.7 KiB
Text
237 lines
8.7 KiB
Text
import OctiveLean.AST
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namespace OctiveLean
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/-- Integer variants matching Octave's int8/16/32/64, uint8/16/32/64 -/
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inductive IntValue where
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| i8 : Int8 → IntValue
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| i16 : Int16 → IntValue
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| i32 : Int32 → IntValue
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| i64 : Int64 → IntValue
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| u8 : UInt8 → IntValue
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| u16 : UInt16 → IntValue
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| u32 : UInt32 → IntValue
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| u64 : UInt64 → IntValue
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deriving Repr
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def IntValue.toFloat : IntValue → Float
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| .i8 x => Float.ofInt x.toInt
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| .i16 x => Float.ofInt x.toInt
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| .i32 x => Float.ofInt x.toInt
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| .i64 x => Float.ofInt x.toInt
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| .u8 x => Float.ofNat x.toNat
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| .u16 x => Float.ofNat x.toNat
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| .u32 x => Float.ofNat x.toNat
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| .u64 x => Float.ofNat x.toNat
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def IntValue.display : IntValue → String
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| .i8 x => toString x
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| .i16 x => toString x
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| .i32 x => toString x
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| .i64 x => toString x
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| .u8 x => toString x
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| .u16 x => toString x
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| .u32 x => toString x
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| .u64 x => toString x
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/-! Runtime values (Value ↔ FuncVal ↔ UserFunc are mutually recursive via closures) -/
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mutual
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/-- The universal Octave runtime value -/
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inductive Value where
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| scalar : Float → Value
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| fscalar : Float → Value -- float32 scalar
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| complex : Float → Float → Value -- re, im (double)
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| integer : IntValue → Value
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| boolean : Bool → Value
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| matrix : Nat → Nat → Array Float → Value -- rows cols data (row-major)
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| cmatrix : Nat → Nat → Array Float → Value -- complex: [re0 im0 re1 im1 ...]
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| boolMat : Nat → Nat → Array Bool → Value
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| string : String → Value
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| cell : Nat → Nat → Array Value → Value -- rows cols data
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| struct : Array (String × Value) → Value
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| fn : FuncVal → Value
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| range : Float → Float → Float → Value -- start step stop (lazy)
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| sym : (srepr : String) → (pretty : String) → Value -- SymPy expression (srepr round-trips, pretty for display)
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| empty : Value -- []
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/-- A callable function value -/
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inductive FuncVal where
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| builtin : String → FuncVal -- name → registry lookup at call time
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| userDef : UserFunc → FuncVal
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| anon : Array String → Expr → Array (String × Value) → FuncVal
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| handle : String → FuncVal -- @ident
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/-- A user-defined function with its captured closure -/
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inductive UserFunc where
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| mk :
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(name : String) →
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(params : Array String) →
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(retVals : Array String) →
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(body : Array Stmt) →
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(closure : Array (String × Value)) →
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UserFunc
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end
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namespace UserFunc
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def name : UserFunc → String | .mk n _ _ _ _ => n
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def params : UserFunc → Array String | .mk _ p _ _ _ => p
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def retVals : UserFunc → Array String | .mk _ _ r _ _ => r
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def body : UserFunc → Array Stmt | .mk _ _ _ b _ => b
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def closure : UserFunc → Array (String × Value) | .mk _ _ _ _ c => c
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end UserFunc
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instance : Inhabited Value := ⟨.empty⟩
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/-- Quick type-name for error messages (avoids needing Repr) -/
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def Value.typeName : Value → String
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| .scalar _ | .fscalar _ => "double"
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| .complex _ _ => "complex"
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| .integer _ => "integer"
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| .boolean _ => "logical"
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| .matrix _ _ _ => "matrix"
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| .cmatrix _ _ _ => "complex matrix"
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| .boolMat _ _ _ => "logical array"
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| .string _ => "string"
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| .cell _ _ _ => "cell"
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| .struct _ => "struct"
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| .fn _ => "function_handle"
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| .range _ _ _ => "range"
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| .sym _ _ => "sym"
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| .empty => "[]"
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/-! Utility functions -/
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/-- Expand a lazy range to an Array of Floats. -/
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def Value.rangeToArray (start step stop : Float) : Array Float :=
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if step == 0.0 then #[]
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else
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let rawN := ((stop - start) / step).floor + 1.0
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if rawN <= 0.0 then #[]
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else
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let n := rawN.toUInt64.toNat
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Id.run do
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let mut arr : Array Float := Array.mkEmpty n
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let mut x := start
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for _ in List.range n do
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arr := arr.push x
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x := x + step
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arr
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/-- Materialise a Value.range to a row-vector matrix -/
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def Value.materialize : Value → Value
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| .range s step e =>
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let data := Value.rangeToArray s step e
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if data.isEmpty then .empty
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else .matrix 1 data.size data
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| v => v
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/-- Shape of a value as (rows, cols) -/
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def Value.shape : Value → Nat × Nat
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| .scalar _ => (1, 1)
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| .fscalar _ => (1, 1)
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| .complex _ _ => (1, 1)
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| .integer _ => (1, 1)
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| .boolean _ => (1, 1)
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| .matrix r c _ => (r, c)
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| .cmatrix r c _ => (r, c)
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| .boolMat r c _ => (r, c)
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| .string s => (1, s.length)
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| .cell r c _ => (r, c)
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| .struct _ => (1, 1)
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| .fn _ => (1, 1)
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| .range s st e => (1, (Value.rangeToArray s st e).size)
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| .sym _ _ => (1, 1)
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| .empty => (0, 0)
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/-- Format a Float as Octave does: no trailing .0 for integers, reasonable precision -/
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def formatFloat (f : Float) : String :=
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-- Use 4 significant figures for display like Octave's default format short
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if f == f.floor && f.abs < 1e15 then
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-- integer-valued float: show without decimal
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let n := f.toUInt64
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if f < 0.0 then "-" ++ toString ((-f).toUInt64)
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else toString n
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else
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toString f
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private def padLeft (width : Nat) (c : Char) (s : String) : String :=
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let pad := width - s.length
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if pad > 0 then String.ofList (List.replicate pad c) ++ s else s
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/-- Format a matrix row for display -/
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private def fmtRow (data : Array Float) (cols : Nat) (row : Nat) : String :=
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let elems := List.range cols |>.map fun j =>
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let v := data[row * cols + j]!
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padLeft 10 ' ' (formatFloat v)
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String.intercalate "" elems
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/-- Human-readable display (mirrors Octave's console output style) -/
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def Value.display (name : String) : Value → String
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| .scalar f => s!"{name} = {formatFloat f}"
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| .fscalar f => s!"{name} = {formatFloat f} (single)"
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| .complex r i =>
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if i >= 0.0 then s!"{name} = {formatFloat r} + {formatFloat i}i"
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else s!"{name} = {formatFloat r} - {formatFloat (-i)}i"
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| .integer v => s!"{name} = {v.display}"
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| .boolean b => s!"{name} = {if b then 1 else 0}"
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| .matrix r c d =>
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if r == 0 || c == 0 then s!"{name} = [](0x0)"
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else if r == 1 && c == 1 then s!"{name} = {formatFloat d[0]!}"
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else
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let rows := List.range r |>.map (fmtRow d c)
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s!"{name} =\n\n{String.intercalate "\n" rows}\n"
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| .boolMat r c d =>
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let rows := List.range r |>.map fun i =>
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let elems := List.range c |>.map fun j =>
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padLeft 4 ' ' (if d[i * c + j]! then "1" else "0")
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String.intercalate "" elems
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s!"{name} =\n\n{String.intercalate "\n" rows}\n"
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| .string s => s!"{name} = {s}"
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| .cell r c _ => s!"{name} = <{r}x{c} cell>"
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| .struct fs =>
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let fieldNames := fs.toList.map (·.1) |> String.intercalate ", "
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s!"{name} = <struct: {fieldNames}>"
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| .fn (.builtin n) => s!"{name} = @{n} [builtin]"
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| .fn (.userDef f) => s!"{name} = @{f.name}"
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| .fn (.anon ps _ _) =>
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let args := ps.toList |> String.intercalate ", "
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s!"{name} = @({args}) [anon]"
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| .fn (.handle n) => s!"{name} = @{n}"
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| .range s st e =>
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let data := Value.rangeToArray s st e
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if data.isEmpty then s!"{name} = [](0x0)"
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else
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let elems := data.toList.map formatFloat |> String.intercalate " "
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s!"{name} =\n\n {elems}\n"
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| .sym _ p => s!"{name} = (sym) {p}"
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| .empty => s!"{name} = [](0x0)"
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| .cmatrix r c _ => s!"{name} = <{r}x{c} complex matrix>"
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/-- Format a value for disp/print — no "name = " prefix -/
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def Value.printStr : Value → String
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| .scalar f | .fscalar f => formatFloat f
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| .complex r i =>
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if i >= 0.0 then s!"{formatFloat r} + {formatFloat i}i"
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else s!"{formatFloat r} - {formatFloat (-i)}i"
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| .integer v => v.display
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| .boolean b => if b then "1" else "0"
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| .matrix r c d =>
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if r == 0 || c == 0 then "[](0x0)"
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else if r == 1 && c == 1 then formatFloat d[0]!
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else
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let rows := List.range r |>.map (fmtRow d c)
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s!"\n{String.intercalate "\n" rows}\n"
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| .boolMat r c d =>
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let rows := List.range r |>.map fun i =>
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let elems := List.range c |>.map fun j =>
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padLeft 4 ' ' (if d[i * c + j]! then "1" else "0")
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String.intercalate "" elems
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s!"\n{String.intercalate "\n" rows}\n"
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| .string s => s
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| .sym _ p => p
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| v => v.display ""
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end OctiveLean
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