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OCaml package documentation
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+Shift (mugen.Mugen.Builder.Endo.Make.P.Shift) Up – mugen » Mugen » Builder » Endo » Make » P » ShiftModule P.Shift The displacement algebra.
To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
P (mugen.Mugen.Builder.Endo.Make.P) Up – mugen » Mugen » Builder » Endo » Make » PThe displacement algebra.
The type that embeds level expressions.
The embedding of level expressions into level
Extract the embedded level, if any.
Make (mugen.Mugen.Builder.Endo.Make) Up – mugen » Mugen » Builder » Endo » Makeshifted s l is the smarter version of Syntax.Endo.shiftedl shifted by the displacement s.
Endo (mugen.Mugen.Builder.Endo) Up – mugen » Mugen » Builder » Endomodule type Param = sig ... end Parameters of smart constructors.
module type S = sig ... end The signature of smart constructors.
The implementation of smart constructors.
Shift (mugen.Mugen.Builder.Endo.Param.Shift) Up – mugen » Mugen » Builder » Endo » Param » ShiftModule Param.Shift The displacement algebra.
To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Param (mugen.Mugen.Builder.Endo.Param) Up – mugen » Mugen » Builder » Endo » ParamThe displacement algebra.
The type that embeds level expressions.
The embedding of level expressions into level
Extract the embedded level, if any.
S (mugen.Mugen.Builder.Endo.S) Up – mugen » Mugen » Builder » Endo » SThe displacement algebra.
The type that embeds levels.
shifted s l is the smarter version of Syntax.Endo.shiftedl shifted by the displacement s.
Shift (mugen.Mugen.Builder.Free.Make.P.Shift) Up – mugen » Mugen » Builder » Free » Make » P » ShiftModule P.Shift The displacement algebra.
To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
P (mugen.Mugen.Builder.Free.Make.P) Up – mugen » Mugen » Builder » Free » Make » PThe displacement algebra.
The type of level variables.
Make (mugen.Mugen.Builder.Free.Make) Up – mugen » Mugen » Builder » Free » MakeThe type of freely generated levels.
shifted s l is the smarter version of Syntax.Endo.shiftedl shifted by the displacement s.
Free (mugen.Mugen.Builder.Free) Up – mugen » Mugen » Builder » Freemodule type Param = sig ... end Parameters of smart constructors.
module type S = sig ... end The signature of smart constructors.
The implementation of smart constructors.
Shift (mugen.Mugen.Builder.Free.Param.Shift) Up – mugen » Mugen » Builder » Free » Param » ShiftModule Param.Shift The displacement algebra.
To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Param (mugen.Mugen.Builder.Free.Param) Up – mugen » Mugen » Builder » Free » ParamThe displacement algebra.
The type of level variables.
S (mugen.Mugen.Builder.Free.S) Up – mugen » Mugen » Builder » Free » SThe displacement algebra.
The type of level variables.
The type of freely generated levels.
shifted s l is the smarter version of Syntax.Endo.shiftedl shifted by the displacement s.
Builder (mugen.Mugen.Builder) Up – mugen » Mugen » Buildermodule Endo : sig ... end module Free : sig ... end Act (mugen.Mugen.Shift.Constant.Act) Up – mugen » Mugen » Shift » Constant » ActParameter Constant.Act To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Const (mugen.Mugen.Shift.Constant.Const) Up – mugen » Mugen » Shift » Constant » Constval equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
Constant (mugen.Mugen.Shift.Constant) Up – mugen » Mugen » Shift » ConstantModule Shift.Constant Constant displacements.
module Const : sig ... end include S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
act s represents actions.
const s represents constants.
to_either convert an element to a value of type Either.t
Base (mugen.Mugen.Shift.FiniteSupport.Base) Up – mugen » Mugen » Shift » FiniteSupport » BaseParameter FiniteSupport.Base To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
FiniteSupport (mugen.Mugen.Shift.FiniteSupport) Up – mugen » Mugen » Shift » FiniteSupportinclude S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Conversion from a list; a list l represents the following infinite product (as a function from natural numbers to Base.t)
f 0 = List.nth l 0
+f 1 = List.nth l 1
+...
+f (n-1) = List.nth l (n-1)
+f n = Base.id
+f (n+1) = Base.id
+... List representation of an infinite product. Right inverse of of_listof_listBase.id will be stripped.
Int (mugen.Mugen.Shift.Int) Up – mugen » Mugen » Shift » Intinclude S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
X (mugen.Mugen.Shift.Lexicographic.X) Up – mugen » Mugen » Shift » Lexicographic » XParameter Lexicographic.X To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Y (mugen.Mugen.Shift.Lexicographic.Y) Up – mugen » Mugen » Shift » Lexicographic » YParameter Lexicographic.Y To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Lexicographic (mugen.Mugen.Shift.Lexicographic) Up – mugen » Mugen » Shift » Lexicographicinclude S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
inl x is equivalent to pair x Y.id
inr y is equivalent to pair X.id y
Nat (mugen.Mugen.Shift.Nat) Up – mugen » Mugen » Shift » Natinclude S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Base (mugen.Mugen.Shift.NearlyConstant.Base) Up – mugen » Mugen » Shift » NearlyConstant » BaseParameter NearlyConstant.Base To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
NearlyConstant (mugen.Mugen.Shift.NearlyConstant) Up – mugen » Mugen » Shift » NearlyConstantinclude S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Conversion from a based list; a based list (b, l) represents the following infinite product (as a function from natural numbers to Base.t)
f 0 = List.nth l 0
+f 1 = List.nth l 1
+...
+f (n-1) = List.nth l (n-1)
+f n = b
+f (n+1) = b
+... Right inverse of of_based_listof_based_list
NonPositive (mugen.Mugen.Shift.NonPositive) Up – mugen » Mugen » Shift » NonPositiveinclude S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Base (mugen.Mugen.Shift.Opposite.Base) Up – mugen » Mugen » Shift » Opposite » BaseParameter Opposite.Base To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Opposite (mugen.Mugen.Shift.Opposite) Up – mugen » Mugen » Shift » OppositeModule Shift.Opposite Opposite displacements
include S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
of_base b gives the same level b in the opposite algebra.
to_base b gives the same level b in the original algebra.
Base (mugen.Mugen.Shift.Prefix.Base) Up – mugen » Mugen » Shift » Prefix » Baseval equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> Prefix (mugen.Mugen.Shift.Prefix) Up – mugen » Mugen » Shift » PrefixModule Shift.Prefix Prefix displacements.
module Base : sig ... end include S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Prepend a symbol to a displacement.
X (mugen.Mugen.Shift.Product.X) Up – mugen » Mugen » Shift » Product » XParameter Product.X To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Y (mugen.Mugen.Shift.Product.Y) Up – mugen » Mugen » Shift » Product » YParameter Product.Y To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Product (mugen.Mugen.Shift.Product) Up – mugen » Mugen » Shift » ProductModule Shift.Product Binary products.
include S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
inl x is equivalent to pair x Y.id
inr y is equivalent to pair X.id y
Shift (mugen.Mugen.Shift) Up – mugen » Mugen » Shiftmodule type S = sig ... end The signature of a displacement algebra.
Natural numbers with addition. Caveats: it does not handle integer overflow.
Integers with addition. Caveats: it does not handle integer overflow.
Non-positive integers with addition. Caveats: it does not handle integer overflow.
Binary products, but with the lexicographical order.
Infinite products with finite elements different from a fixed displacement.
Infinite products with finite supports. A special case of NearlyConstantid.
S (mugen.Mugen.Shift.S) Up – mugen » Mugen » Shift » SModule type Shift.S The signature of a displacement algebra.
To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Base (mugen.Mugen.ShiftWithJoin.FiniteSupport.Base) Up – mugen » Mugen » ShiftWithJoin » FiniteSupport » BaseParameter FiniteSupport.Base include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
FiniteSupport (mugen.Mugen.ShiftWithJoin.FiniteSupport) Up – mugen » Mugen » ShiftWithJoin » FiniteSupportinclude Semilattice include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
Int (mugen.Mugen.ShiftWithJoin.Int) Up – mugen » Mugen » ShiftWithJoin » Intinclude Semilattice include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
X (mugen.Mugen.ShiftWithJoin.Lexicographic.X) Up – mugen » Mugen » ShiftWithJoin » Lexicographic » XParameter Lexicographic.X include Semilattice include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
bot is the minimum value.
Y (mugen.Mugen.ShiftWithJoin.Lexicographic.Y) Up – mugen » Mugen » ShiftWithJoin » Lexicographic » YParameter Lexicographic.Y include Semilattice include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
bot is the minimum value.
Lexicographic (mugen.Mugen.ShiftWithJoin.Lexicographic) Up – mugen » Mugen » ShiftWithJoin » Lexicographicinclude BoundedSemilattice include Semilattice include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
bot is the minimum value.
inl x is equivalent to pair x Y.id
inr y is equivalent to pair X.id y
Nat (mugen.Mugen.ShiftWithJoin.Nat) Up – mugen » Mugen » ShiftWithJoin » Natinclude BoundedSemilattice include Semilattice include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
bot is the minimum value.
Base (mugen.Mugen.ShiftWithJoin.NearlyConstant.Base) Up – mugen » Mugen » ShiftWithJoin » NearlyConstant » BaseParameter NearlyConstant.Base include Semilattice include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
bot is the minimum value.
NearlyConstant (mugen.Mugen.ShiftWithJoin.NearlyConstant) Up – mugen » Mugen » ShiftWithJoin » NearlyConstantinclude BoundedSemilattice include Semilattice include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
bot is the minimum value.
Conversion from a based list
Conversion to a based list
NonPositive (mugen.Mugen.ShiftWithJoin.NonPositive) Up – mugen » Mugen » ShiftWithJoin » NonPositiveinclude Semilattice include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
X (mugen.Mugen.ShiftWithJoin.Product.X) Up – mugen » Mugen » ShiftWithJoin » Product » Xinclude Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
Y (mugen.Mugen.ShiftWithJoin.Product.Y) Up – mugen » Mugen » ShiftWithJoin » Product » Yinclude Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
Product (mugen.Mugen.ShiftWithJoin.Product) Up – mugen » Mugen » ShiftWithJoin » ProductModule ShiftWithJoin.Product Binary products.
include Semilattice include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
inl x is equivalent to pair x Y.id
inr y is equivalent to pair X.id y
ShiftWithJoin (mugen.Mugen.ShiftWithJoin) Up – mugen » Mugen » ShiftWithJoinThe signature of a displacement algebra with binary joins. (Note that this refers to joins of displacements, not joins of universe levels.)
A displacement algebra with joins and a bottom element.
Natural numbers with addition. Caveats: it does not handle integer overflow.
Integers with addition. Caveats: it does not handle integer overflow.
Non-positive integers with addition. Caveats: it does not handle integer overflow.
Binary products, but with the lexicographical order.
Infinite products with finite elements different from a fixed displacement.
Infinite products with finite supports. A special case of NearlyConstant
BoundedSemilattice (mugen.Mugen.ShiftWithJoin.BoundedSemilattice) Up – mugen » Mugen » ShiftWithJoin » BoundedSemilatticeinclude Semilattice include Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
bot is the minimum value.
Semilattice (mugen.Mugen.ShiftWithJoin.Semilattice) Up – mugen » Mugen » ShiftWithJoin » Semilatticeinclude Shift.S val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
join x y is the maximum of x and y.
Endo (mugen.Mugen.Syntax.Endo) Up – mugen » Mugen » Syntax » Endotype ('s, 'a) t = ('s , 'a ) endo = | Shifted of 'a * 's | Top A family of polynomial endofunctors ('s, -) t indexed by the type of displacements 's.
val shifted : 'a -> 's -> ('s , 'a ) t shifted l s is Shifted (l, s), representing the level l shifted by the displacement s.
top is Top, the additional top level for convenience.
val dump :
+ (Stdlib .Format.formatter -> 's -> -> (Stdlib .Format.formatter -> 'a -> -> Stdlib .Format.formatter -> ('s , 'a ) t -> dump dump_s dump_a is the ugly printer for levels, where dump_s is the printer for displacements and dump_a is the printer for inner sub-expressions.
Free (mugen.Mugen.Syntax.Free) Up – mugen » Mugen » Syntax » Freetype ('s, 'v) t = ('s , 'v ) free = | Level of ('s , ('s , 'v ) free endo | Var of 'v The free monad ('s, -) t on the endofunctor ('s, -) endo indexed by the type of displacements 's.
val shifted : ('s , 'v ) t -> 's -> ('s , 'v ) t shifted l s is Level (Shifted (l, s)), representing the level l shifted by the displacement s.
top is Top, the additional top level for convenience.
val var : 'v -> ('s , 'v ) t var v is Var v, representing the variable level v.
val dump :
+ (Stdlib .Format.formatter -> 's -> -> (Stdlib .Format.formatter -> 'v -> -> Stdlib .Format.formatter -> ('s , 'v ) t -> dump dump_s dump_v is the ugly printer for levels, where dump_s is the printer for displacements and dump_v is the printer for variables.
Syntax (mugen.Mugen.Syntax) Up – mugen » Mugen » Syntaxtype ('s, 'a) endo = | Shifted of 'a * 's | Top A family of polynomial endofunctors ('s, -) endo indexed by the type of displacements 's.
type ('s, 'v) free = | Level of ('s , ('s , 'v ) free endo | Var of 'v The free monad ('s, -) free on the endofunctor ('s, -) endo indexed by the type of displacements 's.
module Endo : sig ... end Stupid constructors for endo
module Free : sig ... end Stupid constructors for free
Infix (mugen.Mugen.Theory.Make.Infix) Up – mugen » Mugen » Theory » Make » InfixModule Make.Infix Infix notation.
Shift (mugen.Mugen.Theory.Make.P.Shift) Up – mugen » Mugen » Theory » Make » P » ShiftModule P.Shift The displacement algebra.
To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
P (mugen.Mugen.Theory.Make.P) Up – mugen » Mugen » Theory » Make » PThe displacement algebra.
The type of level variables.
val equal_var : var -> var -> equal_var x y checks whether two level variables x and y are the same.
Make (mugen.Mugen.Theory.Make) Up – mugen » Mugen » Theory » MakeThe type of freely generated levels.
equal l1 l2 checks whether l1 and l2 are the same universe level.
lt l1 l2 checks whether l1 is strictly less than l2. Note that trichotomy fails for general universe levels.
leq l1 l2 checks whether l1 is less than or equal to l2. Note that trichotomy fails for general universe levels.
module Infix : sig ... end Theory (mugen.Mugen.Theory) Up – mugen » Mugen » Theorymodule type Param = sig ... end Parameters of the theory.
module type S = sig ... end The signature of the theory.
The implementation of the theory.
Shift (mugen.Mugen.Theory.Param.Shift) Up – mugen » Mugen » Theory » Param » ShiftModule Param.Shift The displacement algebra.
To form a valid displacement algebra, composeidltcompose
val equal : t -> t -> equal x y checks whether x and y are equivalent.
val dump : Stdlib .Format.formatter -> t -> lt x y checks if x is strictly less than y. Note that trichotomy fails for general partial orders.
leq x y checks if x is less than or equal to y. Note that trichotomy fails for general partial orders.
is_id s checks whether s is the unit. It is equivalent to equal id s, but potentially faster.
val compose : t -> t -> t compose s1 s2 composes the operators s1 and s2. Note that Foo^s1^s2 in McBride's notation is understood as compose (compose ... s2) s1 with the reversed order.
Param (mugen.Mugen.Theory.Param) Up – mugen » Mugen » Theory » ParamThe displacement algebra.
The type of level variables.
val equal_var : var -> var -> equal_var x y checks whether two level variables x and y are the same.
Infix (mugen.Mugen.Theory.S.Infix) Up – mugen » Mugen » Theory » S » InfixModule S.Infix Infix notation.
S (mugen.Mugen.Theory.S) Up – mugen » Mugen » Theory » SThe displacement algebra.
The type of level variables.
The type of freely generated levels.
equal l1 l2 checks whether l1 and l2 are the same universe level.
lt l1 l2 checks whether l1 is strictly less than l2. Note that trichotomy fails for general universe levels.
leq l1 l2 checks whether l1 is less than or equal to l2. Note that trichotomy fails for general universe levels.
module Infix : sig ... end Mugen (mugen.Mugen) Up – mugen » MugenStock displacement algebras
Stock displacement algebras with joins
Definitions of level expressions
Smart constructors for level expressions
Semantic comparators for free level expressions
index (mugen.index) Up – mugen"mugen" is the transliteration of "無限" in Japanese, possibly a learned borrowing of "無限" from Chinese. It literally means "without limits", and is widely used in anime for the obvious reason. It is fitting in the context of universe polymorphism.
quickstart (mugen.quickstart) Up – mugen » quickstartThis tutorial is for an implementer (you!) to integrate this library into your type theory implementation as quickly as possible. We will assume you are already familiar with OCaml and dependent type theory, and are using a typical OCaml package structure.
Following Conor McBride’s crude but effective stratification and our algebraic reformulation , a universe level in this library is represented as a pair of a variable together with some displacement . For example, a universe level might be x + 10, meaning the variable level x shifted (bumped) by 10 levels. The shifting of 10 levels is the displacement. For the same variable x, the level x + n is larger than x + m if n is larger than m, while levels x + n and y + m are in general incomparable for different variables x and y. Substituting x + n1 for y in y + n2 results in the level x + (n1 + n2).
While this scheme (with only a variable and some displacement) looks limited, we proved that it is in a sense universal if you allow all mathematically possible displacements beyond natural numbers. We also call the minimum algebra of displacements that would make the scheme work a displacement algebra . See our POPL paper for more details.
This library implements several displacement algebras you could choose from, along with a uniform interface to construct and compare universe levels.
The first step is to choose your favorite displacements . We will use Mugen.Shift.IntMugen.ShiftMugen.ShiftWithJoin
Free level expressions are expressions freely generated by only variables and shifting operators. In contrast, we will have a different kind of level expressions embedded in your datatype holding terms or types. The free level expressions are the only ones that can be compared against each other; the embedded ones must be converted to free ones for comparison. More on this point later.
Save the following content as the file ULvl.ml for free level expressions, assuming that you are using integers to represent variables.
module Param =
+struct
+ (** Your chosen displacement algebra *)
+ module Shift = Mugen.Shift.Int
+
+ (** The representation of variables in free level expressions *)
+ type var = int
+
+ (** The equality checker for variables *)
+ let equal_var : var -> var -> bool = Int.equal
+end
+include Param
+
+(** An alias of the type of displacements *)
+type shift = Shift.t
+
+(** An alias of the type of free level expressions *)
+type t = (shift, int) Mugen.Syntax.free
+
+(** Smart constructors for free level expressions *)
+include Mugen.Builder.Free.Make (Param)
+
+(** Comparators for free level expressions *)
+include Mugen.Theory.Make (Param)Take a look at Mugen.Syntax.free
Now we have the free level expressions ready, you need to extend your datatype to embed levels and define the conversion functions to free ones. A typical datatype holding terms or types will have the following pattern:
type t =
+ | Var of int (* maybe using De Bruijn indexes or levels *)
+ (* ... more syntax follows ... *)There are three steps to add level expressions to your datatype
The idea is to use Mugen.Syntax.endoMugen.Syntax.freeMugen.Syntax.endoULvl, to embed level expressions:
(** Use [endo] to embed levels into your datatype. *)
+type ulvl = (ULvl.shift, t) Mugen.Syntax.endo
+
+(** The datatype of terms. *)
+and t =
+ | Var of int
+ (* ... more syntax follows ... *)
+ | ULvl of ulvlYou can take a look at Mugen.Syntax.endo
(** Conversion to free level expressions *)
+let rec to_ulvl : t -> ULvl.t =
+ function
+ | Var i -> Mugen.Syntax.Var i
+ | ULvl endo -> endo_to_ulvl endo
+ | _ -> invalid_arg "to_ulvl"
+
+and endo_to_ulvl : ulvl -> ULvl.t =
+ let module M = Mugen.Syntax in
+ function
+ | M.Shifted (l, s) -> ULvl.shifted (to_ulvl l) s
+ | M.Top -> ULvl.topThe most common tasks are to compare two embedded levels. The code is straightforward---the ULvl module you have created comes with comparators for free level expressions. It is sufficient to convert embedded level expressions to free ones and compare them accordingly. Copy and paste the following code snippet after the definition of your datatype:
(** Conversion to free level expressions *)
+let rec to_ulvl : t -> ULvl.t =
+ function
+ | Var i -> Mugen.Syntax.Var i
+ | ULvl endo -> endo_to_ulvl endo
+ | _ -> invalid_arg "to_ulvl"
+
+and endo_to_ulvl : ulvl -> ULvl.t =
+ let module M = Mugen.Syntax in
+ function
+ | M.Shifted (l, s) -> ULvl.shifted (to_ulvl l) s
+ | M.Top -> ULvl.topNow, the comparators for embedded level expressions can be defined as followed:
let equal_ulvl l1 l2 = ULvl.equal (to_ulvl l1) (to_ulvl l2)
+let leq_ulvl l1 l2 = ULvl.leq (to_ulvl l1) (to_ulvl l2)
+let lt_ulvl l1 l2 = ULvl.lt (to_ulvl l1) (to_ulvl l2)You might have noticed that there is a "top" level---we added the top level for convenience.
Another common task in a real system is to parse user inputs and construct corresponding (embedded) level expressions. The recommended approach is to use smart constructors that will consolidate displacements when building level expressions. To do so, these smart constructors need to know how to check whether an expression in your datatype is a level expression. Here is the snippet to copy and paste to summon smart constructors:
(** Include smart constructors for universe levels *)
+include
+ Mugen.Builder.Endo.Make
+ (struct
+ (** Your chosen displacement algebra *)
+ module Shift = ULvl.Shift
+
+ (** The type of embedded level expressions *)
+ type level = t
+
+ (** A function to embed a level expression *)
+ let level (l : ulvl) : t = ULvl l
+
+ (** A function to check whether an expression is an embedded level expression *)
+ let unlevel : t -> ulvl option = function ULvl l -> Some l | _ -> None
+ end)See Remember that you have included the smart constructors in previous steps.
The essential one
let _ = shifted l sto obtain the level l shifted by the displacement s. Constructing the displacement s depends on your chosen displacement algebra. If you were using integers, aliasing the stock Mugen.Shift.IntULvl.Shift), then the shifting by 10 levels can be implemented as:
let _ = shifted l (ULvl.Shift.of_int 10)For convenience, we also introduced the top level
let _ = topthat will be greater than any other level. (Note that you cannot shift the distinguished top level!)
That's it! Now you have rich universe levels. Here are a few remarks:
It is recommended to write your own pretty printer. However, if you wish to dump the universe levels, check out Mugen.Syntax.Free.dumpMugen.Syntax.Endo.dump
It is trivial to switch to another displacement algebra by aliasing ULvl.Shift to another module implementing the interface Mugen.Shift.S
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t||!t.unexpandable:Nn.hasOwnProperty(e)&&!Nn[e].primitive},e}(),Un={"\u0301":{text:"\\'",math:"\\acute"},"\u0300":{text:"\\`",math:"\\grave"},"\u0308":{text:'\\"',math:"\\ddot"},"\u0303":{text:"\\~",math:"\\tilde"},"\u0304":{text:"\\=",math:"\\bar"},"\u0306":{text:"\\u",math:"\\breve"},"\u030c":{text:"\\v",math:"\\check"},"\u0302":{text:"\\^",math:"\\hat"},"\u0307":{text:"\\.",math:"\\dot"},"\u030a":{text:"\\r",math:"\\mathring"},"\u030b":{text:"\\H"},"\u0327":{text:"\\c"}},Yn={"\xe1":"a\u0301","\xe0":"a\u0300","\xe4":"a\u0308","\u01df":"a\u0308\u0304","\xe3":"a\u0303","\u0101":"a\u0304","\u0103":"a\u0306","\u1eaf":"a\u0306\u0301","\u1eb1":"a\u0306\u0300","\u1eb5":"a\u0306\u0303","\u01ce":"a\u030c","\xe2":"a\u0302","\u1ea5":"a\u0302\u0301","\u1ea7":"a\u0302\u0300","\u1eab":"a\u0302\u0303","\u0227":"a\u0307","\u01e1":"a\u0307\u0304","\xe5":"a\u030a","\u01fb":"a\u030a\u0301","\u1e03":"b\u0307","\u0107":"c\u0301","\u1e09":"c\u0327\u0301","\u010d":"c\u030c","\u0109":"c\u0302","\u010b":"c\u0307","\xe7":"c\u0327","\u010f":"d\u030c","\u1e0b":"d\u0307","\u1e11":"d\u0327","\xe9":"e\u0301","\xe8":"e\u0300","\xeb":"e\u0308","\u1ebd":"e\u0303","\u0113":"e\u0304","\u1e17":"e\u0304\u0301","\u1e15":"e\u0304\u0300","\u0115":"e\u0306","\u1e1d":"e\u0327\u0306","\u011b":"e\u030c","\xea":"e\u0302","\u1ebf":"e\u0302\u0301","\u1ec1":"e\u0302\u0300","\u1ec5":"e\u0302\u0303","\u0117":"e\u0307","\u0229":"e\u0327","\u1e1f":"f\u0307","\u01f5":"g\u0301","\u1e21":"g\u0304","\u011f":"g\u0306","\u01e7":"g\u030c","\u011d":"g\u0302","\u0121":"g\u0307","\u0123":"g\u0327","\u1e27":"h\u0308","\u021f":"h\u030c","\u0125":"h\u0302","\u1e23":"h\u0307","\u1e29":"h\u0327","\xed":"i\u0301","\xec":"i\u0300","\xef":"i\u0308","\u1e2f":"i\u0308\u0301","\u0129":"i\u0303","\u012b":"i\u0304","\u012d":"i\u0306","\u01d0":"i\u030c","\xee":"i\u0302","\u01f0":"j\u030c","\u0135":"j\u0302","\u1e31":"k\u0301","\u01e9":"k\u030c","\u0137":"k\u0327","\u013a":"l\u0301","\u013e":"l\u030c","\u013c":"l\u0327","\u1e3f":"m\u0301","\u1e41":"m\u0307","\u0144":"n\u0301","\u01f9":"n\u0300","\xf1":"n\u0303","\u0148":"n\u030c","\u1e45":"n\u0307","\u0146":"n\u0327","\xf3":"o\u0301","\xf2":"o\u0300","\xf6":"o\u0308","\u022b":"o\u0308\u0304","\xf5":"o\u0303","\u1e4d":"o\u0303\u0301","\u1e4f":"o\u0303\u0308","\u022d":"o\u0303\u0304","\u014d":"o\u0304","\u1e53":"o\u0304\u0301","\u1e51":"o\u0304\u0300","\u014f":"o\u0306","\u01d2":"o\u030c","\xf4":"o\u0302","\u1ed1":"o\u0302\u0301","\u1ed3":"o\u0302\u0300","\u1ed7":"o\u0302\u0303","\u022f":"o\u0307","\u0231":"o\u0307\u0304","\u0151":"o\u030b","\u1e55":"p\u0301","\u1e57":"p\u0307","\u0155":"r\u0301","\u0159":"r\u030c","\u1e59":"r\u0307","\u0157":"r\u0327","\u015b":"s\u0301","\u1e65":"s\u0301\u0307","\u0161":"s\u030c","\u1e67":"s\u030c\u0307","\u015d":"s\u0302","\u1e61":"s\u0307","\u015f":"s\u0327","\u1e97":"t\u0308","\u0165":"t\u030c","\u1e6b":"t\u0307","\u0163":"t\u0327","\xfa":"u\u0301","\xf9":"u\u0300","\xfc":"u\u0308","\u01d8":"u\u0308\u0301","\u01dc":"u\u0308\u0300","\u01d6":"u\u0308\u0304","\u01da":"u\u0308\u030c","\u0169":"u\u0303","\u1e79":"u\u0303\u0301","\u016b":"u\u0304","\u1e7b":"u\u0304\u0308","\u016d":"u\u0306","\u01d4":"u\u030c","\xfb":"u\u0302","\u016f":"u\u030a","\u0171":"u\u030b","\u1e7d":"v\u0303","\u1e83":"w\u0301","\u1e81":"w\u0300","\u1e85":"w\u0308","\u0175":"w\u0302","\u1e87":"w\u0307","\u1e98":"w\u030a","\u1e8d":"x\u0308","\u1e8b":"x\u0307","\xfd":"y\u0301","\u1ef3":"y\u0300","\xff":"y\u0308","\u1ef9":"y\u0303","\u0233":"y\u0304","\u0177":"y\u0302","\u1e8f":"y\u0307","\u1e99":"y\u030a","\u017a":"z\u0301","\u017e":"z\u030c","\u1e91":"z\u0302","\u017c":"z\u0307","\xc1":"A\u0301","\xc0":"A\u0300","\xc4":"A\u0308","\u01de":"A\u0308\u0304","\xc3":"A\u0303","\u0100":"A\u0304","\u0102":"A\u0306","\u1eae":"A\u0306\u0301","\u1eb0":"A\u0306\u0300","\u1eb4":"A\u0306\u0303","\u01cd":"A\u030c","\xc2":"A\u0302","\u1ea4":"A\u0302\u0301","\u1ea6":"A\u0302\u0300","\u1eaa":"A\u0302\u0303","\u0226":"A\u0307","\u01e0":"A\u0307\u0304","\xc5":"A\u030a","\u01fa":"A\u030a\u0301","\u1e02":"B\u0307","\u0106":"C\u0301","\u1e08":"C\u0327\u0301","\u010c":"C\u030c","\u0108":"C\u0302","\u010a":"C\u0307","\xc7":"C\u0327","\u010e":"D\u030c","\u1e0a":"D\u0307","\u1e10":"D\u0327","\xc9":"E\u0301","\xc8":"E\u0300","\xcb":"E\u0308","\u1ebc":"E\u0303","\u0112":"E\u0304","\u1e16":"E\u0304\u0301","\u1e14":"E\u0304\u0300","\u0114":"E\u0306","\u1e1c":"E\u0327\u0306","\u011a":"E\u030c","\xca":"E\u0302","\u1ebe":"E\u0302\u0301","\u1ec0":"E\u0302\u0300","\u1ec4":"E\u0302\u0303","\u0116":"E\u0307","\u0228":"E\u0327","\u1e1e":"F\u0307","\u01f4":"G\u0301","\u1e20":"G\u0304","\u011e":"G\u0306","\u01e6":"G\u030c","\u011c":"G\u0302","\u0120":"G\u0307","\u0122":"G\u0327","\u1e26":"H\u0308","\u021e":"H\u030c","\u0124":"H\u0302","\u1e22":"H\u0307","\u1e28":"H\u0327","\xcd":"I\u0301","\xcc":"I\u0300","\xcf":"I\u0308","\u1e2e":"I\u0308\u0301","\u0128":"I\u0303","\u012a":"I\u0304","\u012c":"I\u0306","\u01cf":"I\u030c","\xce":"I\u0302","\u0130":"I\u0307","\u0134":"J\u0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character "'+t[0]+'" used in math mode',e):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+t[0]+'" ('+t.charCodeAt(0)+")",e)),i={type:"textord",mode:"text",loc:Lr.range(e),text:t}}if(this.consume(),o)for(var c=0;c *:first-child {
+ /* This make the first thing in the preamble align with the sidebar */
+ padding-top: 0;
+ margin-top: 0;
+}
+
+header {
+ margin-bottom: 30px;
+}
+
+header.odoc-preamble {
+ grid-column: 2;
+ grid-row: 3;
+}
+
+nav {
+ font-family: "Fira Sans", sans-serif;
+}
+
+nav.odoc-nav {
+ grid-column: 2;
+ grid-row: 2;
+}
+
+/* Basic markup elements */
+
+b, strong {
+ font-weight: bold;
+}
+
+i {
+ font-style: italic;
+}
+
+em, i em.odd{
+ font-style: italic;
+}
+
+em.odd, i em {
+ font-style: normal;
+}
+
+sup {
+ vertical-align: super;
+}
+
+sub {
+ vertical-align: sub;
+}
+
+sup, sub {
+ font-size: 12px;
+ line-height: 0;
+ margin-left: 0.2ex;
+}
+
+ul, ol {
+ list-style-position: outside
+}
+
+ul>li {
+ margin-left: 22px;
+}
+
+ol>li {
+ margin-left: 27.2px;
+}
+
+li>*:first-child {
+ margin-top: 0
+}
+
+/* Text alignements, this should be forbidden. */
+
+.left {
+ text-align: left;
+}
+
+.right {
+ text-align: right;
+}
+
+.center {
+ text-align: center;
+}
+
+/* Links and anchors */
+
+a {
+ text-decoration: none;
+ color: var(--link-color);
+}
+
+.odoc-src pre a {
+ color: inherit;
+}
+
+a:hover {
+ box-shadow: 0 1px 0 0 var(--link-color);
+}
+
+/* Linked highlight */
+*:target {
+ background-color: var(--target-background) !important;
+ box-shadow: 0 0px 0 1px var(--target-shadow) !important;
+ border-radius: 1px;
+}
+
+*:hover > a.anchor {
+ visibility: visible;
+}
+
+a.anchor:before {
+ content: "#";
+}
+
+a.anchor:hover {
+ box-shadow: none;
+ text-decoration: none;
+ color: var(--anchor-hover);
+}
+
+a.anchor {
+ visibility: hidden;
+ position: absolute;
+ /* top: 0px; */
+ /* margin-left: -3ex; */
+ margin-left: -1.3em;
+ font-weight: normal;
+ font-style: normal;
+ padding-right: 0.4em;
+ padding-left: 0.4em;
+ /* To remain selectable */
+ color: var(--anchor-color);
+}
+
+.spec > a.anchor {
+ margin-left: -2.3em;
+ padding-right: 0.9em;
+}
+
+.xref-unresolved {
+ color: #2C94BD;
+}
+.xref-unresolved:hover {
+ box-shadow: 0 1px 0 0 var(--xref-shadow);
+}
+
+/* Source links float inside preformated text or headings. */
+a.source_link {
+ float: right;
+ color: var(--source-color);
+ font-family: "Fira Sans", sans-serif;
+ font-size: initial;
+}
+
+/* Section and document divisions.
+ Until at least 4.03 many of the modules of the stdlib start at .h7,
+ we restart the sequence there like h2 */
+
+h1, h2, h3, h4, h5, h6, .h7, .h8, .h9, .h10 {
+ font-family: "Fira Sans", sans-serif;
+ font-weight: 400;
+ padding-top: 0.1em;
+ line-height: 1.2;
+ overflow-wrap: break-word;
+}
+
+.odoc-preamble h1 {
+ margin-top: 10px;
+}
+
+h1 {
+ font-weight: 500;
+ font-size: 2.441em;
+}
+
+h1 {
+ font-weight: 500;
+ font-size: 1.953em;
+ box-shadow: 0 1px 0 0 var(--header-shadow);
+}
+
+h2 {
+ font-size: 1.563em;
+}
+
+h3 {
+ font-size: 1.25em;
+}
+
+small, .font_small {
+ font-size: 0.8em;
+}
+
+h1 code, h1 tt {
+ font-size: inherit;
+ font-weight: inherit;
+}
+
+h2 code, h2 tt {
+ font-size: inherit;
+ font-weight: inherit;
+}
+
+h3 code, h3 tt {
+ font-size: inherit;
+ font-weight: inherit;
+}
+
+h3 code, h3 tt {
+ font-size: inherit;
+ font-weight: inherit;
+}
+
+h4 {
+ font-size: 1.12em;
+}
+
+/* Comment delimiters, hidden but accessible to screen readers and
+ selected for copy/pasting */
+
+/* Taken from bootstrap */
+/* See also https://stackoverflow.com/a/27769435/4220738 */
+.comment-delim {
+ position: absolute;
+ width: 1px;
+ height: 1px;
+ padding: 0;
+ margin: -1px;
+ overflow: hidden;
+ clip: rect(0, 0, 0, 0);
+ white-space: nowrap;
+ border: 0;
+}
+
+/* Preformatted and code */
+
+tt, code, pre {
+ font-family: "Fira Mono", monospace;
+ font-weight: 400;
+}
+
+.odoc pre {
+ padding: 0.1em;
+ border: 1px solid var(--pre-border-color);
+ border-radius: 5px;
+ overflow-x: auto;
+}
+
+.odoc p code,
+.odoc li code {
+ background-color: var(--li-code-background);
+ color: var(--li-code-color);
+ border-radius: 3px;
+ padding: 0 0.3ex;
+}
+
+p a > code, li a > code {
+ color: var(--link-color);
+}
+
+.odoc code {
+ white-space: pre-wrap;
+}
+
+/* Code blocks (e.g. Examples) */
+
+.odoc pre code {
+ font-size: 0.893rem;
+}
+
+/* Code lexemes */
+
+.keyword {
+ font-weight: 500;
+}
+
+.arrow { white-space: nowrap }
+
+/* Module member specification */
+
+.spec {
+ background-color: var(--spec-summary-background);
+ border-radius: 3px;
+ border-left: 4px solid var(--spec-summary-border-color);
+ border-right: 5px solid transparent;
+ padding: 0.35em 0.5em;
+}
+
+.spec .label, .spec .optlabel {
+ color: var(--spec-label-color);
+}
+
+li:not(:last-child) > .def-doc {
+ margin-bottom: 15px;
+}
+
+/* Spacing between items */
+div.odoc-spec,.odoc-include {
+ margin-bottom: 2em;
+}
+
+.spec.type .variant p, .spec.type .record p {
+ margin: 5px;
+}
+
+.spec.type .variant, .spec.type .record {
+ margin-left: 2ch;
+}
+
+.spec.type li.variant, .spec.type li.record {
+ list-style: none;
+}
+
+.spec.type .record > code, .spec.type .variant > code {
+ min-width: 40%;
+}
+
+.spec.type > ol {
+ margin-top: 0;
+ margin-bottom: 0;
+}
+
+.spec.type .record > .def-doc, .spec.type .variant > .def-doc {
+ min-width:50%;
+ padding: 0.25em 0.5em;
+ margin-left: 10%;
+ border-radius: 3px;
+ background: var(--main-background);
+ box-shadow: 1px 1px 2px lightgrey;
+}
+
+div.def {
+ margin-top: 0;
+ text-indent: -2ex;
+ padding-left: 2ex;
+}
+
+div.def-doc>*:first-child {
+ margin-top: 0;
+}
+
+/* Collapsible inlined include and module */
+
+.odoc-include details {
+ position: relative;
+}
+
+.odoc-include.shadowed-include {
+ display: none;
+}
+
+.odoc-include details:after {
+ z-index: -100;
+ display: block;
+ content: " ";
+ position: absolute;
+ border-radius: 0 1ex 1ex 0;
+ right: -20px;
+ top: 1px;
+ bottom: 1px;
+ width: 15px;
+ background: var(--spec-details-after-background, rgba(0, 4, 15, 0.05));
+ box-shadow: 0 0px 0 1px var(--spec-details-after-shadow, rgba(204, 204, 204, 0.53));
+}
+
+.odoc-include summary {
+ position: relative;
+ margin-bottom: 1em;
+ cursor: pointer;
+ outline: none;
+}
+
+.odoc-include summary:hover {
+ background-color: var(--spec-summary-hover-background);
+}
+
+/* FIXME: Does not work in Firefox. */
+.odoc-include summary::-webkit-details-marker {
+ color: #888;
+ transform: scaleX(-1);
+ position: absolute;
+ top: calc(50% - 5px);
+ height: 11px;
+ right: -29px;
+}
+
+/* Records and variants FIXME */
+
+div.def table {
+ text-indent: 0em;
+ padding: 0;
+ margin-left: -2ex;
+}
+
+td.def {
+ padding-left: 2ex;
+}
+
+td.def-doc *:first-child {
+ margin-top: 0em;
+}
+
+/* Lists of @tags */
+
+.at-tags { list-style-type: none; margin-left: -3ex; }
+.at-tags li { padding-left: 3ex; text-indent: -3ex; }
+.at-tags .at-tag { text-transform: capitalize }
+
+/* Alert emoji */
+
+.alert::before, .deprecated::before {
+ content: '⚠️ ';
+}
+
+/* Lists of modules */
+
+.modules { list-style-type: none; margin-left: -3ex; }
+.modules li { padding-left: 3ex; text-indent: -3ex; margin-top: 5px }
+.modules .synopsis { padding-left: 1ch; }
+
+/* Odig package index */
+
+.packages { list-style-type: none; margin-left: -3ex; }
+.packages li { padding-left: 3ex; text-indent: -3ex }
+.packages li a.anchor { padding-right: 0.5ch; padding-left: 3ch; }
+.packages .version { font-size: 10px; color: var(--by-name-version-color); }
+.packages .synopsis { padding-left: 1ch }
+
+.by-name nav a {
+ text-transform: uppercase;
+ font-size: 18px;
+ margin-right: 1ex;
+ color: var(--by-name-nav-link-color,);
+ display: inline-block;
+}
+
+.by-tag nav a {
+ margin-right: 1ex;
+ color: var(--by-name-nav-link-color);
+ display: inline-block;
+}
+
+.by-tag ol { list-style-type: none; }
+.by-tag ol.tags li { margin-left: 1ch; display: inline-block }
+.by-tag td:first-child { text-transform: uppercase; }
+
+/* Odig package page */
+
+.package nav {
+ display: inline;
+ font-size: 14px;
+ font-weight: normal;
+}
+
+.package .version {
+ font-size: 14px;
+}
+
+.package.info {
+ margin: 0;
+}
+
+.package.info td:first-child {
+ font-style: italic;
+ padding-right: 2ex;
+}
+
+.package.info ul {
+ list-style-type: none;
+ display: inline;
+ margin: 0;
+}
+
+.package.info li {
+ display: inline-block;
+ margin: 0;
+ margin-right: 1ex;
+}
+
+#info-authors li, #info-maintainers li {
+ display: block;
+}
+
+/* Sidebar and TOC */
+
+.odoc-toc:before {
+ display: block;
+ content: "Contents";
+ text-transform: uppercase;
+ font-size: 1em;
+ margin: 1.414em 0 0.5em;
+ font-weight: 500;
+ color: var(--toc-before-color);
+ line-height: 1.2;
+}
+
+/* When a search bar is present, we need the sticky sidebar to be a bit lower,
+ so `top` is higher */
+
+.odoc-search + * + .odoc-toc {
+ --toc-top: calc(var(--search-bar-height) + var(--search-padding-top) + 20px);
+ max-height: calc(100vh - 2 * var(--toc-top));
+ top: var(--toc-top)
+}
+
+.odoc-toc {
+ --toc-top: 20px;
+ width: 28ex;
+ background: var(--toc-background);
+ overflow: auto;
+ color: var(--toc-color);
+ padding-left: 2ex;
+ padding-right: 2ex;
+ grid-row-start: 3;
+ grid-row-end: 5;
+ grid-column: 1;
+ height: fit-content;
+ border: solid 1px var(--border);
+ border-radius: 5px;
+ position:sticky;
+ max-height: calc(100vh - 2 * var(--toc-top));
+ top: var(--toc-top)
+}
+
+.odoc-toc ul li a {
+ font-family: "Fira Sans", sans-serif;
+ font-size: 0.95em;
+ color: var(--color);
+ font-weight: 400;
+ line-height: 1.2em;
+ display: block;
+}
+
+.odoc-sidebar ul li a:hover {
+ box-shadow: none;
+ text-decoration: underline;
+}
+
+:root {
+ --search-bar-height: 25px;
+ --search-padding-top: 1rem;
+}
+
+.odoc-search {
+ position: sticky;
+ top: 0;
+ background: var(--main-background);
+ /* This amounts to fit-content when the search is not active, but when you
+ have the search results displayed, you do not want the height of the search
+ container to change. */
+ height: calc(var(--search-bar-height) + var(--search-padding-top));
+ width: 100%;
+ padding-top: var(--search-padding-top);
+ z-index: 1;
+ grid-row: 1;
+ grid-column-start: 1;
+ grid-column-end: 3;
+}
+
+
+.odoc-search .search-inner {
+ width: 100%;
+ position: relative;
+ left: 0;
+ display: grid;
+ /* The second column is for the search snake, which has 0 width */
+ grid-template-columns: 1fr 0fr;
+ grid-row-gap: 1rem;
+ /* The second row is for the search results. It has a width, but only */
+ grid-template-rows: min-content 0px;
+ background: transparent;
+}
+
+.odoc-search .search-bar {
+ position: relative;
+ z-index: 2;
+ font-size: 1em;
+ transition: font-size 0.3s;
+ box-shadow: 0px 0px 0.2rem 0.3em var(--main-background);
+ height: var(--search-bar-height);
+}
+
+.odoc-search:focus-within .search-bar {
+ font-size: 1.1em;
+}
+
+.odoc-search:not(:focus-within) .search-result {
+ display: none;
+}
+
+.odoc-search .search-result:empty {
+ display: none;
+}
+
+.odoc-search .search-result {
+ grid-row: 2;
+ background: var(--toc-background);
+ position: absolute;
+ left: 0;
+ right: 0;
+ border: solid;
+ border-color: var(--search-results-border);
+ border-width: 1px;
+ border-radius: 6px;
+ box-shadow: 0 3px 10px 2px var(--search-results-shadow), 0 0 3px 4px var(--main-background), 0px -1rem 0px 0px var(--main-background);
+ /* Works better on smallish screens with this */
+ max-height: calc(min(40rem, 50vh));
+ overflow-y: auto;
+}
+
+.search-bar {
+ /* inputs are of fixed size by default, even if you display:block them */
+ width: 100%;
+}
+
+
+.odoc-search .search-no-result {
+ color: var(--color);
+ border-bottom: var(--search-results-border) solid 1px;
+ background-color: inherit;
+ outline: 0;
+ padding: 10px;
+ padding-right: 0.5rem;
+}
+
+.search-bar-container {
+ display: flex;
+ align-items: stretch;
+ border-bottom: 1rem solid var(--main-background);
+}
+
+.search-snake {
+ grid-row: 1;
+ grid-column: 2;
+ display: flex;
+ align-items: center;
+ width: 0;
+ z-index: 2;
+ position: relative;
+ left: 0;
+ margin-top: 4px;
+ margin-bottom: 4px;
+ /* Otherwise the search snake flickers for very fast searches. */
+ transition: opacity 0.2s;
+ opacity: 0;
+}
+
+.search-snake.search-busy {
+ opacity: 1;
+}
+
+.search-snake:before {
+ content: " ";
+ display: block;
+ aspect-ratio: 1 / 1;
+ height: 100%;
+ margin-right: 4px;
+ border-radius: 50%;
+ border: 3px solid #aaa;
+ border-color: var(--search-snake) transparent var(--search-snake) transparent;
+ animation: search-snake 1.2s linear infinite;
+ position: absolute;
+ right: 0;
+}
+
+@keyframes search-snake {
+ 0% {
+ transform: rotate(0deg);
+ }
+
+ 100% {
+ transform: rotate(360deg);
+ }
+}
+
+:root {
+ --kind-font-size-factor: 0.8;
+}
+
+.odoc-search .search-entry {
+ color: var(--color);
+ display: grid;
+ /* Possible kinds are the following :
+ "doc" "type" "mod" "exn" "class" "meth" "cons" "sig" "cons" "field" "val"
+ and "ext".
+ As the longest is 5 characters (and the font monospace), we give 5
+ character size to the column. However the font used for kind is a little
+ smaller, so we adjust by this factor.
+ */
+ grid-template-columns: [kinds] calc(var(--kind-font-size-factor) * 5ch) [titles] 1fr;
+ column-gap: 0.5rem;
+ border-bottom: var(--search-results-border) solid 1px;
+ background-color: inherit;
+ outline: 0;
+ padding: 0.4rem 0.4rem 0.7rem 0.7rem;
+}
+.odoc-search .search-entry p {
+ margin: 0;
+ overflow: hidden;
+ text-overflow: ellipsis;
+ white-space: nowrap;
+}
+
+.odoc-search .search-entry:focus-visible {
+ box-shadow: none;
+ background-color: var(--target-background);
+}
+
+.odoc-search .search-entry:hover {
+ box-shadow: none;
+ background-color: var(--toc-background-emph);
+}
+
+.odoc-search .search-entry .entry-kind {
+ grid-row: 1/2;
+ grid-column: 1/2;
+ line-height: 1.4rem;
+ font-size: calc(var(--kind-font-size-factor) * 1em);
+ font-weight: bold;
+ text-align: right;
+ position: relative;
+ bottom: 0;
+}
+
+.odoc-search .search-entry pre {
+ border: none;
+ margin: 0;
+}
+
+.odoc-search .search-entry pre code {
+ font-size: 1em;
+ background-color: var(--li-code-background);
+ color: var(--li-code-color);
+ border-radius: 3px;
+ padding: 0 0.3ex;
+}
+
+.odoc-search .search-entry .entry-title {
+ width: 100%;
+ display: block;
+ grid-column: 2/2;
+ grid-row: 1/2;
+ align-self: end;
+ line-height: 1.4rem;
+ white-space: nowrap;
+ overflow: hidden;
+ text-overflow: ellipsis;
+}
+
+.odoc-search .entry-name {
+ font-weight: bold;
+}
+
+.odoc-search .prefix-name {
+ font-weight: bold;
+}
+
+.odoc-search .search-entry .prefix-name {
+ opacity: 0.7;
+}
+
+.odoc-search .entry-rhs {
+ white-space: nowrap;
+}
+
+.odoc-search .search-entry .entry-content {
+ flex-grow: 1;
+ flex-shrink: 1;
+ min-width: 0;
+}
+
+.odoc-search .search-entry .entry-comment {
+ max-height: 1.5em;
+ overflow: hidden;
+ text-overflow: ellipsis;
+ white-space: nowrap;
+ font-size: 0.95em;
+ grid-row: 2/2;
+ grid-column: 2/2;
+}
+
+.odoc-search .search-entry .entry-comment ul {
+ white-space: nowrap;
+ display: inline;
+}
+
+.odoc-search .search-entry .entry-comment li {
+ display: inline;
+ white-space: nowrap;
+}
+
+.odoc-search .search-entry .entry-comment ul>li::before {
+ content: '•';
+}
+
+.odoc-search .search-entry .entry-comment div {
+ display: inline;
+ white-space: nowrap;
+}
+
+.odoc-search .search-entry .entry-comment p {
+ display: inline;
+ white-space: nowrap;
+}
+
+.odoc-search .search-entry .entry-comment code {
+ display: inline;
+ white-space: nowrap;
+}
+
+/* First level titles */
+
+.odoc-toc>ul>li>a {
+ font-weight: 500;
+}
+
+.odoc-toc li ul {
+ margin: 0px;
+ padding-top: 0.25em;
+}
+
+.odoc-toc ul {
+ list-style-type: none;
+}
+
+.odoc-toc ul li {
+ padding: 0.25em 0;
+}
+
+.odoc-toc>ul>li {
+ margin-bottom: 0.3em;
+}
+
+.odoc-toc ul li li {
+ border-left: 1px solid var(--toc-list-border);
+ margin-left: 5px;
+ padding-left: 12px;
+}
+
+/* Tables */
+
+.odoc-table {
+ margin: 1em;
+}
+
+.odoc-table td,
+.odoc-table th {
+ padding-left: 0.5em;
+ padding-right: 0.5em;
+ border: 1px solid black;
+}
+
+.odoc-table th {
+ font-weight: bold;
+}
+
+/* Mobile adjustements. */
+
+@media only screen and (max-width: 110ex) {
+ body {
+ margin: 2em;
+ padding: 0;
+ }
+
+ body.odoc {
+ display: block;
+ }
+
+ .odoc-toc {
+ position: static;
+ width: auto;
+ min-width: unset;
+ max-width: unset;
+ border: none;
+ padding: 0.2em 1em;
+ border-radius: 5px;
+ margin-bottom: 2em;
+ }
+}
+
+/* Print adjustements. */
+
+@media print {
+ body {
+ color: black;
+ background: white;
+ }
+
+ body nav:first-child {
+ visibility: hidden;
+ }
+}
+
+/* Source code. */
+
+.source_container {
+ display: flex;
+}
+
+.source_line_column {
+ padding-right: 0.5em;
+ text-align: right;
+ background: #eee8d5;
+}
+
+.source_line {
+ padding: 0 1em;
+}
+
+.source_code {
+ flex-grow: 1;
+ background: #fdf6e3;
+ padding: 0 0.3em;
+ color: #657b83;
+}
+
+/* Source directories */
+
+.odoc-directory::before {
+ content: "📁";
+ margin: 0.3em;
+ font-size: 1.3em;
+}
+
+.odoc-file::before {
+ content: "📄";
+ margin: 0.3em;
+ font-size: 1.3em;
+}
+
+.odoc-folder-list {
+ list-style: none;
+}
+
+/* Syntax highlighting (based on github-gist) */
+
+.hljs {
+ display: block;
+ background: var(--code-background);
+ padding: 0.5em;
+ color: var(--color);
+ overflow-x: auto;
+}
+
+.hljs-comment,
+.hljs-meta {
+ color: #969896;
+}
+
+.hljs-string,
+.hljs-variable,
+.hljs-template-variable,
+.hljs-strong,
+.hljs-emphasis,
+.hljs-quote {
+ color: #df5000;
+}
+
+.hljs-keyword,
+.hljs-selector-tag {
+ color: #a71d5d;
+}
+
+.hljs-type,
+.hljs-class .hljs-title {
+ color: #458;
+ font-weight: 500;
+}
+
+.hljs-literal,
+.hljs-symbol,
+.hljs-bullet,
+.hljs-attribute {
+ color: #0086b3;
+}
+
+.hljs-section,
+.hljs-name {
+ color: #63a35c;
+}
+
+.hljs-tag {
+ color: #333333;
+}
+
+.hljs-attr,
+.hljs-selector-id,
+.hljs-selector-class,
+.hljs-selector-attr,
+.hljs-selector-pseudo {
+ color: #795da3;
+}
+
+.hljs-addition {
+ color: #55a532;
+ background-color: #eaffea;
+}
+
+.hljs-deletion {
+ color: #bd2c00;
+ background-color: #ffecec;
+}
+
+.hljs-link {
+ text-decoration: underline;
+}
+
+.VAL,
+.TYPE,
+.LET,
+.REC,
+.IN,
+.OPEN,
+.NONREC,
+.MODULE,
+.METHOD,
+.LETOP,
+.INHERIT,
+.INCLUDE,
+.FUNCTOR,
+.EXTERNAL,
+.CONSTRAINT,
+.ASSERT,
+.AND,
+.END,
+.CLASS,
+.STRUCT,
+.SIG {
+ color: #859900;
+ ;
+}
+
+.WITH,
+.WHILE,
+.WHEN,
+.VIRTUAL,
+.TRY,
+.TO,
+.THEN,
+.PRIVATE,
+.OF,
+.NEW,
+.MUTABLE,
+.MATCH,
+.LAZY,
+.IF,
+.FUNCTION,
+.FUN,
+.FOR,
+.EXCEPTION,
+.ELSE,
+.TO,
+.DOWNTO,
+.DO,
+.DONE,
+.BEGIN,
+.AS {
+ color: #cb4b16;
+}
+
+.TRUE,
+.FALSE {
+ color: #b58900;
+}
+
+.failwith,
+.INT,
+.SEMISEMI,
+.LIDENT {
+ color: #2aa198;
+}
+
+.STRING,
+.CHAR,
+.UIDENT {
+ color: #b58900;
+}
+
+.DOCSTRING {
+ color: #268bd2;
+}
+
+.COMMENT {
+ color: #93a1a1;
+}
+
+/*---------------------------------------------------------------------------
+ Copyright (c) 2016 The odoc contributors
+
+ Permission to use, copy, modify, and/or distribute this software for any
+ purpose with or without fee is hereby granted, provided that the above
+ copyright notice and this permission notice appear in all copies.
+
+ THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ ---------------------------------------------------------------------------*/
\ No newline at end of file
diff --git a/odoc.support/odoc_search.js b/odoc.support/odoc_search.js
new file mode 100644
index 0000000..0dc659d
--- /dev/null
+++ b/odoc.support/odoc_search.js
@@ -0,0 +1,66 @@
+/* The browsers interpretation of the CORS origin policy prevents to run
+ webworkers from javascript files fetched from the file:// protocol. This hack
+ is to workaround this restriction. */
+function createWebWorker() {
+ var searchs = search_urls.map((search_url) => {
+ let parts = document.location.href.split("/");
+ parts[parts.length - 1] = search_url;
+ return '"' + parts.join("/") + '"';
+ });
+ blobContents = ["importScripts(" + searchs.join(",") + ");"];
+ var blob = new Blob(blobContents, { type: "application/javascript" });
+ var blobUrl = URL.createObjectURL(blob);
+
+ var worker = new Worker(blobUrl);
+ URL.revokeObjectURL(blobUrl);
+
+ return worker;
+}
+
+var worker;
+var waiting = 0;
+
+function wait() {
+ waiting = waiting + 1;
+ document.querySelector(".search-snake").classList.add("search-busy");
+}
+
+function stop_waiting() {
+ if (waiting > 0) waiting = waiting - 1;
+ else waiting = 0;
+ if (waiting == 0) {
+ document.querySelector(".search-snake").classList.remove("search-busy");
+ }
+}
+
+document.querySelector(".search-bar").addEventListener("focus", (ev) => {
+ if (typeof worker == "undefined") {
+ worker = createWebWorker();
+ worker.onmessage = (e) => {
+ stop_waiting();
+ let results = e.data;
+ let search_results = document.querySelector(".search-result");
+ search_results.innerHTML = "";
+ let f = (entry) => {
+ let search_result = document.createElement("a");
+ search_result.classList.add("search-entry");
+ search_result.href = base_url + entry.url;
+ search_result.innerHTML = entry.html;
+ search_results.appendChild(search_result);
+ };
+ results.forEach(f);
+ let search_request = document.querySelector(".search-bar").value;
+ if (results.length == 0 && search_request != "") {
+ let no_result = document.createElement("div");
+ no_result.classList.add("search-no-result");
+ no_result.innerText = "No result...";
+ search_results.appendChild(no_result);
+ }
+ };
+ }
+});
+
+document.querySelector(".search-bar").addEventListener("input", (ev) => {
+ wait();
+ worker.postMessage(ev.target.value);
+});