structure Lean.Meta.Linear.Var : Type

• id : Nat

instance Lean.Meta.Linear.instInhabitedVar : Inhabited Var

Equations

• Lean.Meta.Linear.instInhabitedVar = { default := { id := default } }

instance Lean.Meta.Linear.instOrdVar : Ord Var

Equations

• Lean.Meta.Linear.instOrdVar = { compare := Lean.Meta.Linear.ordVar✝ }

instance Lean.Meta.Linear.instDecidableEqVar : DecidableEq Var

Equations

• Lean.Meta.Linear.instDecidableEqVar = Lean.Meta.Linear.decEqVar✝

instance Lean.Meta.Linear.instReprVar : Repr Var

Equations

• Lean.Meta.Linear.instReprVar = { reprPrec := Lean.Meta.Linear.reprVar✝ }

instance Lean.Meta.Linear.instLTVar : LT Var

Equations

• Lean.Meta.Linear.instLTVar = { lt := fun (a b : Lean.Meta.Linear.Var) => a.id < b.id }

instance Lean.Meta.Linear.instDecidableLtVar (a b : Var) : Decidable (a < b)

Equations

• Lean.Meta.Linear.instDecidableLtVar a b = inferInstanceAs (Decidable (a.id < b.id))

structure Lean.Meta.Linear.Assignment : Type

• val : Array Std.Internal.Rat

instance Lean.Meta.Linear.instInhabitedAssignment : Inhabited Assignment

Equations

• Lean.Meta.Linear.instInhabitedAssignment = { default := { val := default } }

@[reducible, inline]

abbrev Lean.Meta.Linear.Assignment.size (a : Assignment) : Nat

Equations

• a.size = a.val.size

@[reducible, inline]

abbrev Lean.Meta.Linear.Assignment.get? (a : Assignment) (x : Var) : Option Std.Internal.Rat

Equations

• a.get? x = if h : x.id < a.size then some a.val[x.id] else none

@[reducible, inline]

abbrev Lean.Meta.Linear.Assignment.push (a : Assignment) (v : Std.Internal.Rat) : Assignment

Equations

• a.push v = { val := a.val.push v }

@[reducible, inline]

abbrev Lean.Meta.Linear.Assignment.shrink (a : Assignment) (newSize : Nat) : Assignment

Equations

• a.shrink newSize = { val := a.val.shrink newSize }

structure Lean.Meta.Linear.Poly : Type

• val : Array (Int × Var)

instance Lean.Meta.Linear.instInhabitedPoly : Inhabited Poly

Equations

• Lean.Meta.Linear.instInhabitedPoly = { default := { val := default } }

instance Lean.Meta.Linear.instReprPoly : Repr Poly

Equations

• Lean.Meta.Linear.instReprPoly = { reprPrec := Lean.Meta.Linear.reprPoly✝ }

instance Lean.Meta.Linear.instDecidableEqPoly : DecidableEq Poly

Equations

• Lean.Meta.Linear.instDecidableEqPoly = Lean.Meta.Linear.decEqPoly✝

@[reducible, inline]

abbrev Lean.Meta.Linear.Poly.size (e : Poly) : Nat

Equations

• e.size = e.val.size

@[reducible, inline]

abbrev Lean.Meta.Linear.Poly.getMaxVarCoeff (e : Poly) : Int

Equations

• e.getMaxVarCoeff = e.val.back!.fst

@[reducible, inline]

abbrev Lean.Meta.Linear.Poly.getMaxVar (e : Poly) : Var

Equations

• e.getMaxVar = e.val.back!.snd

@[reducible, inline]

abbrev Lean.Meta.Linear.Poly.get (e : Poly) (i : Fin e.size) : Int × Var

Equations

• e.get i = e.val[i]

def Lean.Meta.Linear.Poly.scale (d : Int) (e : Poly) : Poly

Equations

• Lean.Meta.Linear.Poly.scale d e = { val := Array.map (fun (x : Int × Lean.Meta.Linear.Var) => match x with | (c, x) => (c * d, x)) e.val }

def Lean.Meta.Linear.Poly.add (e₁ e₂ : Poly) : Poly

Equations

• e₁.add e₂ = Lean.Meta.Linear.Poly.add.go e₁ e₂ 0 0 #[]

@[irreducible]

def Lean.Meta.Linear.Poly.add.go (e₁ e₂ : Poly) (i₁ i₂ : Nat) (r : Array (Int × Var)) : Poly

Equations

• One or more equations did not get rendered due to their size.

def Lean.Meta.Linear.Poly.combine (d₁ : Int) (e₁ : Poly) (d₂ : Int) (e₂ : Poly) : Poly

Equations

• Lean.Meta.Linear.Poly.combine d₁ e₁ d₂ e₂ = Lean.Meta.Linear.Poly.combine.go d₁ e₁ d₂ e₂ 0 0 #[]

@[irreducible]

def Lean.Meta.Linear.Poly.combine.go (d₁ : Int) (e₁ : Poly) (d₂ : Int) (e₂ : Poly) (i₁ i₂ : Nat) (r : Array (Int × Var)) : Poly

Equations

• One or more equations did not get rendered due to their size.

def Lean.Meta.Linear.Poly.eval? (e : Poly) (a : Assignment) : Option Std.Internal.Rat

Equations

• One or more equations did not get rendered due to their size.

structure Lean.Meta.Linear.AssumptionId : Type

• id : Nat

instance Lean.Meta.Linear.instInhabitedAssumptionId : Inhabited AssumptionId

Equations

• Lean.Meta.Linear.instInhabitedAssumptionId = { default := { id := default } }

instance Lean.Meta.Linear.instDecidableEqAssumptionId : DecidableEq AssumptionId

Equations

• Lean.Meta.Linear.instDecidableEqAssumptionId = Lean.Meta.Linear.decEqAssumptionId✝

instance Lean.Meta.Linear.instReprAssumptionId : Repr AssumptionId

Equations

• Lean.Meta.Linear.instReprAssumptionId = { reprPrec := Lean.Meta.Linear.reprAssumptionId✝ }

inductive Lean.Meta.Linear.Justification : Type

• combine (c₁ : Int) (j₁ : Justification) (c₂ : Int) (j₂ : Justification) : Justification
• assumption (id : AssumptionId) : Justification

instance Lean.Meta.Linear.instInhabitedJustification : Inhabited Justification

Equations

• Lean.Meta.Linear.instInhabitedJustification = { default := Lean.Meta.Linear.Justification.assumption default }

instance Lean.Meta.Linear.instDecidableEqJustification : DecidableEq Justification

Equations

• Lean.Meta.Linear.instDecidableEqJustification = Lean.Meta.Linear.decEqJustification✝

instance Lean.Meta.Linear.instBEqJustification : BEq Justification

Equations

• Lean.Meta.Linear.instBEqJustification = { beq := Lean.Meta.Linear.beqJustification✝ }

instance Lean.Meta.Linear.instReprJustification : Repr Justification

Equations

• Lean.Meta.Linear.instReprJustification = { reprPrec := Lean.Meta.Linear.reprJustification✝ }

inductive Lean.Meta.Linear.CnstrKind : Type

• eq : CnstrKind
• div : CnstrKind
• lt : CnstrKind
• le : CnstrKind

instance Lean.Meta.Linear.instInhabitedCnstrKind : Inhabited CnstrKind

Equations

• Lean.Meta.Linear.instInhabitedCnstrKind = { default := Lean.Meta.Linear.CnstrKind.eq }

instance Lean.Meta.Linear.instDecidableEqCnstrKind : DecidableEq CnstrKind

Equations

• Lean.Meta.Linear.instDecidableEqCnstrKind x✝ y✝ = if h : x✝.toCtorIdx = y✝.toCtorIdx then isTrue ⋯ else isFalse ⋯

instance Lean.Meta.Linear.instBEqCnstrKind : BEq CnstrKind

Equations

• Lean.Meta.Linear.instBEqCnstrKind = { beq := Lean.Meta.Linear.beqCnstrKind✝ }

instance Lean.Meta.Linear.instReprCnstrKind : Repr CnstrKind

Equations

• Lean.Meta.Linear.instReprCnstrKind = { reprPrec := Lean.Meta.Linear.reprCnstrKind✝ }

structure Lean.Meta.Linear.Cnstr : Type

• kind : CnstrKind
• lhs : Poly
• rhs : Int
• jst : Justification

instance Lean.Meta.Linear.instInhabitedCnstr : Inhabited Cnstr

Equations

• Lean.Meta.Linear.instInhabitedCnstr = { default := { kind := default, lhs := default, rhs := default, jst := default } }

instance Lean.Meta.Linear.instDecidableEqCnstr : DecidableEq Cnstr

Equations

• Lean.Meta.Linear.instDecidableEqCnstr = Lean.Meta.Linear.decEqCnstr✝

instance Lean.Meta.Linear.instBEqCnstr : BEq Cnstr

Equations

• Lean.Meta.Linear.instBEqCnstr = { beq := Lean.Meta.Linear.beqCnstr✝ }

instance Lean.Meta.Linear.instReprCnstr : Repr Cnstr

Equations

• Lean.Meta.Linear.instReprCnstr = { reprPrec := Lean.Meta.Linear.reprCnstr✝ }

@[reducible, inline]

abbrev Lean.Meta.Linear.Cnstr.isStrict (c : Cnstr) : Bool

Equations

• c.isStrict = match c.kind with | Lean.Meta.Linear.CnstrKind.lt => true | x => false

def Lean.Meta.Linear.Cnstr.getBound (c : Cnstr) (a : Assignment) : Std.Internal.Rat

Equations

• One or more equations did not get rendered due to their size.

def Lean.Meta.Linear.Cnstr.isUnsat (c : Cnstr) (a : Assignment) : Bool

Equations

• One or more equations did not get rendered due to their size.

def Lean.Meta.Linear.getBestBound? (cs : Array Cnstr) (a : Assignment) (isLower isInt : Bool) : Option (Std.Internal.Rat × Cnstr)

Equations

• One or more equations did not get rendered due to their size.

inductive Lean.Meta.Linear.Result : Type

• unsat (j : Justification) : Result
• unsupported : Result
• timeout : Result
• sat (a : Assignment) : Result

structure Lean.Meta.Linear.Context : Type

• int : Array Bool

structure Lean.Meta.Linear.State : Type

• lowers : Array (Array Cnstr)
• uppers : Array (Array Cnstr)
• int : Array Bool
• assignment : Assignment

instance Lean.Meta.Linear.instInhabitedState : Inhabited State

Equations

• Lean.Meta.Linear.instInhabitedState = { default := { lowers := default, uppers := default, int := default, assignment := default } }

@[reducible, inline]

abbrev Lean.Meta.Linear.State.getNumVars (s : State) : Nat

Equations

• s.getNumVars = s.lowers.size

@[reducible, inline]

abbrev Lean.Meta.Linear.State.currVar (s : State) : Nat

Equations

• s.currVar = s.assignment.size

@[reducible, inline]

abbrev Lean.Meta.Linear.State.getBestLowerBound? (s : State) : Option (Std.Internal.Rat × Cnstr)

Equations

• s.getBestLowerBound? = Lean.Meta.Linear.getBestBound? s.lowers[s.currVar]! s.assignment true s.int[s.currVar]!

@[reducible, inline]

abbrev Lean.Meta.Linear.State.getBestUpperBound? (s : State) : Option (Std.Internal.Rat × Cnstr)

Equations

• s.getBestUpperBound? = Lean.Meta.Linear.getBestBound? s.uppers[s.currVar]! s.assignment false s.int[s.currVar]!

@[reducible, inline]

abbrev Lean.Meta.Linear.State.assignCurr (s : State) (v : Std.Internal.Rat) : State

Equations

• s.assignCurr v = { lowers := s.lowers, uppers := s.uppers, int := s.int, assignment := s.assignment.push v }

def Lean.Meta.Linear.pickAssignment? (lower : Std.Internal.Rat) (lowerIsStrict : Bool) (upper : Std.Internal.Rat) (upperIsStrict : Bool) : Option Std.Internal.Rat

Equations

• One or more equations did not get rendered due to their size.

def Lean.Meta.Linear.resolve (s : State) (cl cu : Cnstr) : Result ⊕ State

Equations

• One or more equations did not get rendered due to their size.

def Lean.Meta.Linear.solve (n : Nat) (s : State) : Result

Equations

• One or more equations did not get rendered due to their size.
• Lean.Meta.Linear.solve 0 s = Lean.Meta.Linear.Result.timeout