Add runtime types for sorting products
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parent
9d0632f645
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3 changed files with 762 additions and 258 deletions
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@ -4,7 +4,7 @@ lazy val core = (project in file("core")).settings(
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version := "2.0.0-SNAPSHOT",
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scalaVersion := "2.13.5",
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libraryDependencies ++= Seq(
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"tf.bug" %% "shinji" % "0.1.6",
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"tf.bug" %% "shinji" % "0.1.8",
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"com.lihaoyi" %% "pprint" % "0.5.6",
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),
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)
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@ -5,216 +5,720 @@ import tf.bug.shinji.{Arrow, ArrowLoop, Cartesian, Monoidal}
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object Fanscript {
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sealed trait Pin
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sealed trait Number extends Pin
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sealed trait Bool extends Pin
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sealed trait Vector extends Pin
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sealed trait Rotation extends Pin
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sealed trait Obj extends Pin
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sealed trait Constraint extends Pin
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sealed trait Pull extends Pin
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sealed trait T extends Pin
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sealed trait ×[A <: Pin, B <: Pin] extends Pin
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case object Number extends Pin
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case object Bool extends Pin
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case object Vector extends Pin
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case object Rotation extends Pin
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case object Obj extends Pin
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case object Constraint extends Pin
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case object Pull extends Pin
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case object T extends Pin
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case class ×[A <: Pin, B <: Pin](a: A, b: B) extends Pin
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sealed trait →[A <: Pin, B <: Pin]
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case class Id[A <: Pin]() extends (A → A)
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case class AndThen[A <: Pin, B <: Pin, C <: Pin](f: A → B, g: B → C) extends (A → C)
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case class Swap[A <: Pin, B <: Pin]() extends ((A × B) → (B × A))
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case class Deunit[A <: Pin]() extends (A → (T × A))
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case class Unit[A <: Pin]() extends ((T × A) → A)
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case class Associate[A <: Pin, B <: Pin, C <: Pin]() extends (((A × B) × C) → (A × (B × C)))
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case class Duplicate[A <: Pin]() extends (A → (A × A))
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case class Terminate[A <: Pin]() extends (A → T)
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case class Bimap[A <: Pin, B <: Pin, C <: Pin, D <: Pin](f: A → B, g: C → D) extends ((A × C) → (B × D))
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case class Loop[A <: Pin, B <: Pin, C <: Pin](f: (A × C) → (B × C)) extends (A → B)
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trait PinEv[A <: Pin] {
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val value: A
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}
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object PinEv {
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implicit val pinValueForNumber: PinEv[Number.type] = new PinEv[Number.type] {
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override val value: Number.type = Number
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}
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implicit val pinValueForBool: PinEv[Bool.type] = new PinEv[Bool.type] {
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override val value: Bool.type = Bool
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}
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implicit val pinValueForVector: PinEv[Vector.type] = new PinEv[Vector.type] {
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override val value: Vector.type = Vector
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}
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implicit val pinValueForRotation: PinEv[Rotation.type] = new PinEv[Rotation.type] {
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override val value: Rotation.type = Rotation
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}
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implicit val pinValueForObj: PinEv[Obj.type] = new PinEv[Obj.type] {
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override val value: Obj.type = Obj
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}
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implicit val pinValueForConstraint: PinEv[Constraint.type] = new PinEv[Constraint.type] {
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override val value: Constraint.type = Constraint
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}
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implicit val pinValueForPull: PinEv[Pull.type] = new PinEv[Pull.type] {
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override val value: Pull.type = Pull
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}
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implicit val pinValueForT: PinEv[T.type] = new PinEv[T.type] {
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override val value: T.type = T
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}
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implicit def pinValueForProduct[A <: Pin, B <: Pin](implicit left: PinEv[A], right: PinEv[B]): PinEv[A × B] = new PinEv[A × B] {
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override val value: A × B = ×(left.value, right.value)
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}
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}
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case object Z extends (T → Pull)
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sealed trait →[A <: Pin, B <: Pin] {
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def left: A
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def right: B
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final def leftEv: PinEv[A] = new PinEv[A] {
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override val value: A = left
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}
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final def rightEv: PinEv[B] = new PinEv[B] {
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override val value: B = right
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}
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final def andThen[C <: Pin](f: B → C): A → C =
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fanscript.andThen(this, f)
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final def >>>[C <: Pin](f: B → C): A → C =
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andThen(f)
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final def compose[C <: Pin](f: C → A): C → B =
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fanscript.compose(this, f)
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final def <<<[C <: Pin](f: C → A): C → B =
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compose(f)
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final def split[C <: Pin, D <: Pin](f: C → D): (A × C) → (B × D) =
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fanscript.split(this, f)
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final def ***[C <: Pin, D <: Pin](f: C → D): (A × C) → (B × D) =
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split(f)
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final def merge[C <: Pin](f: A → C): A → (B × C) =
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fanscript.merge(this, f)
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final def &&&[C <: Pin](f: A → C): A → (B × C) =
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merge(f)
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}
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case class Id[A <: Pin](a: A) extends (A → A) {
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override def left: A = a
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override def right: A = a
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}
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case class AndThen[A <: Pin, B <: Pin, C <: Pin](f: A → B, g: B → C) extends (A → C) {
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override def left: A = f.left
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override def right: C = g.right
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}
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case class Swap[A <: Pin, B <: Pin](a: A, b: B) extends ((A × B) → (B × A)) {
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override def left: A × B = ×(a, b)
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override def right: B × A = ×(b, a)
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}
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case class Deunit[A <: Pin](a: A) extends (A → (T.type × A)) {
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override def left: A = a
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override def right: T.type × A = ×(T, a)
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}
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case class Unit[A <: Pin](a: A) extends ((T.type × A) → A) {
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override def left: T.type × A = ×(T, a)
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override def right: A = a
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}
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case class Associate[A <: Pin, B <: Pin, C <: Pin](a: A, b: B, c: C) extends (((A × B) × C) → (A × (B × C))) {
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override def left: (A × B) × C = ×(×(a, b), c)
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override def right: A × (B × C) = ×(a, ×(b, c))
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}
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case class Duplicate[A <: Pin](a: A) extends (A → (A × A)) {
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override def left: A = a
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override def right: A × A = ×(a, a)
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}
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case class Terminate[A <: Pin](a: A) extends (A → T.type) {
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override def left: A = a
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override def right: T.type = T
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}
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case class Bimap[A <: Pin, B <: Pin, C <: Pin, D <: Pin](f: A → B, g: C → D) extends ((A × C) → (B × D)) {
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override def left: A × C = ×(f.left, g.left)
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override def right: B × D = ×(f.right, g.right)
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}
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case class Loop[A <: Pin, B <: Pin, C <: Pin](f: (A × C) → (B × C)) extends (A → B) {
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override def left: A = f.left.a
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override def right: B = f.right.a
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}
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case object Z extends (T.type → Pull.type) {
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override def left: T.type = T
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override def right: Pull.type = Pull
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}
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def bubbleSort[In <: Pin, Out <: Pin](sort: Vector[Int])(implicit inEv: PinEv[In], outEv: PinEv[Out]): Option[In → Out] = {
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???
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}
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object Builtin {
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case class NumberValue(number: Float) extends (T → Number)
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case class VectorValue(x: Float, y: Float, z: Float) extends (T → Vector)
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case class RotationValue(x: Float, y: Float, z: Float) extends (T → Rotation)
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case object TrueValue extends (T → Bool)
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case object FalseValue extends (T → Bool)
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case class NumberValue(number: Float) extends (T.type → Number.type) {
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override def left: T.type = T
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override def right: Number.type = Number
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}
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case class VectorValue(x: Float, y: Float, z: Float) extends (T.type → Vector.type) {
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override def left: T.type = T
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override def right: Vector.type = Vector
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}
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case class RotationValue(x: Float, y: Float, z: Float) extends (T.type → Rotation.type) {
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override def left: T.type = T
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override def right: Rotation.type = Rotation
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}
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case object TrueValue extends (T.type → Bool.type) {
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override def left: T.type = T
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override def right: Bool.type = Bool
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}
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case object FalseValue extends (T.type → Bool.type) {
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override def left: T.type = T
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override def right: Bool.type = Bool
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}
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case object InspectNumber extends ((Number × Pull) → Pull)
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case object InspectVector extends ((Vector × Pull) → Pull)
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case object InspectRotation extends ((Rotation × Pull) → Pull)
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case object InspectTruth extends ((Bool × Pull) → Pull)
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case object InspectObject extends ((Obj × Pull) → Pull)
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case object InspectNumber extends ((Number.type × Pull.type) → Pull.type) {
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override def left: Number.type × Pull.type = ×(Number, Pull)
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override def right: Pull.type = Pull
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}
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case object InspectVector extends ((Vector.type × Pull.type) → Pull.type) {
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override def left: Vector.type × Pull.type = ×(Vector, Pull)
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override def right: Pull.type = Pull
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}
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case object InspectRotation extends ((Rotation.type × Pull.type) → Pull.type) {
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override def left: Rotation.type × Pull.type = ×(Rotation, Pull)
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override def right: Pull.type = Pull
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}
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case object InspectTruth extends ((Bool.type × Pull.type) → Pull.type) {
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override def left: Bool.type × Pull.type = ×(Bool, Pull)
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override def right: Pull.type = Pull
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}
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case object InspectObject extends ((Obj.type × Pull.type) → Pull.type) {
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override def left: Obj.type × Pull.type = ×(Obj, Pull)
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override def right: Pull.type = Pull
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}
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case object Win extends (Pull → Pull)
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case object Lose extends (Pull → Pull)
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case object SetScore extends ((Number × Pull) → Pull)
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case object SetCamera extends ((Vector × Rotation × Number × Pull) → Pull)
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case object SetLight extends ((Vector × Rotation × Pull) → Pull)
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case object ScreenSize extends (T → (Number × Number))
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case object Accelerometer extends (T → Vector)
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case object CurrentFrame extends (T → Number)
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case object Win extends (Pull.type → Pull.type) {
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override def left: Pull.type = Pull
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override def right: Pull.type = Pull
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}
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case object Lose extends (Pull.type → Pull.type) {
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override def left: Pull.type = Pull
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override def right: Pull.type = Pull
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}
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case object SetScore extends ((Number.type × Pull.type) → Pull.type) {
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override def left: Number.type × Pull.type = ×(Number, Pull)
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override def right: Pull.type = Pull
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}
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case object SetCamera extends ((Vector.type × Rotation.type × Number.type × Pull.type) → Pull.type) {
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override def left: Vector.type × Rotation.type × Number.type × Pull.type = ×(×(×(Vector, Rotation), Number), Pull)
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override def right: Pull.type = Pull
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}
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case object SetLight extends ((Vector.type × Rotation.type × Pull.type) → Pull.type) {
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override def left: Vector.type × Rotation.type × Pull.type = ×(×(Vector, Rotation), Pull)
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override def right: Pull.type = Pull
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}
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case object ScreenSize extends (T.type → (Number.type × Number.type)) {
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override def left: T.type = T
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override def right: Number.type × Number.type = ×(Number, Number)
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}
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case object Accelerometer extends (T.type → Vector.type) {
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override def left: T.type = T
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override def right: Vector.type = Vector
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}
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case object CurrentFrame extends (T.type → Number.type) {
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override def left: T.type = T
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override def right: Number.type = Number
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}
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case object GetPosition extends (Obj → (Vector × Rotation))
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case object SetPosition extends ((Obj × Vector × Rotation × Pull) → Pull)
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case object Raycast extends ((Vector × Vector) → (Bool × Vector × Obj))
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case object GetSize extends (Obj → (Vector × Vector))
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case object SetVisible extends ((Obj × Bool × Pull) → Pull)
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case object CreateObject extends ((Obj × Pull) → (Obj × Pull))
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case object DestroyObject extends ((Obj × Pull) → Pull)
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case object GetPosition extends (Obj.type → (Vector.type × Rotation.type)) {
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override def left: Obj.type = Obj
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override def right: Vector.type × Rotation.type = ×(Vector, Rotation)
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}
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case object SetPosition extends ((Obj.type × Vector.type × Rotation.type × Pull.type) → Pull.type) {
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override def left: Obj.type × Vector.type × Rotation.type × Pull.type = ×(×(×(Obj, Vector), Rotation), Pull)
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override def right: Pull.type = Pull
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}
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case object Raycast extends ((Vector.type × Vector.type) → (Bool.type × Vector.type × Obj.type)) {
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override def left: Vector.type × Vector.type = ×(Vector, Vector)
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override def right: Bool.type × Vector.type × Obj.type = ×(×(Bool, Vector), Obj)
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}
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case object GetSize extends (Obj.type → (Vector.type × Vector.type)) {
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override def left: Obj.type = Obj
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override def right: Vector.type × Vector.type = ×(Vector, Vector)
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}
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case object SetVisible extends ((Obj.type × Bool.type × Pull.type) → Pull.type) {
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override def left: Obj.type × Bool.type × Pull.type = ×(×(Obj, Bool), Pull)
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override def right: Pull.type = Pull
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}
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case object CreateObject extends ((Obj.type × Pull.type) → (Obj.type × Pull.type)) {
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override def left: Obj.type × Pull.type = ×(Obj, Pull)
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override def right: Obj.type × Pull.type = ×(Obj, Pull)
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}
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case object DestroyObject extends ((Obj.type × Pull.type) → Pull.type) {
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override def left: Obj.type × Pull.type = ×(Obj, Pull)
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override def right: Pull.type = Pull
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}
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case class PlaySound(loop: Boolean, sample: SoundSample) extends ((Number × Number × Pull) → (Number × Pull))
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case object StopSound extends ((Number × Pull) → Pull)
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case object VolumePitch extends ((Number × Number × Number × Pull) → Pull)
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case class PlaySound(loop: Boolean, sample: SoundSample) extends ((Number.type × Number.type × Pull.type) → (Number.type × Pull.type)) {
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override def left: Number.type × Number.type × Pull.type = ×(×(Number, Number), Pull)
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override def right: Number.type × Pull.type = ×(Number, Pull)
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}
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case object StopSound extends ((Number.type × Pull.type) → Pull.type) {
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override def left: Number.type × Pull.type = ×(Number, Pull)
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override def right: Pull.type = Pull
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}
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case object VolumePitch extends ((Number.type × Number.type × Number.type × Pull.type) → Pull.type) {
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override def left: Number.type × Number.type × Number.type × Pull.type = ×(×(×(Number, Number), Number), Pull)
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override def right: Pull.type = Pull
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}
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case object AddForce extends ((Obj × Vector × Vector × Vector × Vector × Pull) → Pull)
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case object GetVelocity extends (Obj → (Vector × Vector))
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case object SetVelocity extends ((Obj × Vector × Vector × Pull) → Pull)
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case object SetLocked extends ((Obj × Vector × Vector × Pull) → Pull)
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case object SetMass extends ((Obj × Number × Pull) → Pull)
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case object SetFriction extends ((Obj × Number × Pull) → Pull)
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case object SetBounciness extends ((Obj × Number × Pull) → Pull)
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case object SetGravity extends ((Vector × Pull) → Pull)
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case object AddConstraint extends ((Obj × Obj × Vector × Pull) → (Constraint × Pull))
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case object LinearLimits extends ((Constraint × Vector × Vector × Pull) → Pull)
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case object AngularLimits extends ((Constraint × Vector × Vector × Pull) → Pull)
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case object LinearSpring extends ((Constraint × Vector × Vector × Pull) → Pull)
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case object AngularSpring extends ((Constraint × Vector × Vector × Pull) → Pull)
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case object LinearMotor extends ((Constraint × Vector × Vector × Pull) → Pull)
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case object AngularMotor extends ((Constraint × Vector × Vector × Pull) → Pull)
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case object AddForce extends ((Obj.type × Vector.type × Vector.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
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override def left: Obj.type × Vector.type × Vector.type × Vector.type × Vector.type × Pull.type = ×(×(×(×(×(Obj, Vector), Vector), Vector), Vector), Pull)
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override def right: Pull.type = Pull
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}
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case object GetVelocity extends (Obj.type → (Vector.type × Vector.type)) {
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override def left: Obj.type = Obj
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override def right: Vector.type × Vector.type = ×(Vector, Vector)
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}
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case object SetVelocity extends ((Obj.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
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override def left: Obj.type × Vector.type × Vector.type × Pull.type = ×(×(×(Obj, Vector), Vector), Pull)
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override def right: Pull.type = Pull
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}
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case object SetLocked extends ((Obj.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
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override def left: Obj.type × Vector.type × Vector.type × Pull.type = ×(×(×(Obj, Vector), Vector), Pull)
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override def right: Pull.type = Pull
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}
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case object SetMass extends ((Obj.type × Number.type × Pull.type) → Pull.type) {
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override def left: Obj.type × Number.type × Pull.type = ×(×(Obj, Number), Pull)
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override def right: Pull.type = Pull
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}
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case object SetFriction extends ((Obj.type × Number.type × Pull.type) → Pull.type) {
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override def left: Obj.type × Number.type × Pull.type = ×(×(Obj, Number), Pull)
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override def right: Pull.type = Pull
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}
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case object SetBounciness extends ((Obj.type × Number.type × Pull.type) → Pull.type) {
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override def left: Obj.type × Number.type × Pull.type = ×(×(Obj, Number), Pull)
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override def right: Pull.type = Pull
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}
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case object SetGravity extends ((Vector.type × Pull.type) → Pull.type) {
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override def left: Vector.type × Pull.type = ×(Vector, Pull)
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override def right: Pull.type = Pull
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}
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case object AddConstraint extends ((Obj.type × Obj.type × Vector.type × Pull.type) → (Constraint.type × Pull.type)) {
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override def left: Obj.type × Obj.type × Vector.type × Pull.type = ×(×(×(Obj, Obj), Vector), Pull)
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override def right: Constraint.type × Pull.type = ×(Constraint, Pull)
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}
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case object LinearLimits extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
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override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
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override def right: Pull.type = Pull
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}
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case object AngularLimits extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
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override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object LinearSpring extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
|
||||
override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object AngularSpring extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
|
||||
override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object LinearMotor extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
|
||||
override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object AngularMotor extends ((Constraint.type × Vector.type × Vector.type × Pull.type) → Pull.type) {
|
||||
override def left: Constraint.type × Vector.type × Vector.type × Pull.type = ×(×(×(Constraint, Vector), Vector), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
|
||||
case object If extends ((Bool × Pull × Pull × Pull) → Pull)
|
||||
case object OnPlay extends ((Pull × Pull) → Pull)
|
||||
case object LateUpdate extends ((Pull × Pull) → Pull)
|
||||
case object BoxArt extends ((Pull × Pull) → Pull)
|
||||
case class OnTouch(event: TouchEvent, finger: TouchFinger) extends ((Pull × Pull) → (Number × Number × Pull))
|
||||
case object OnSwipe extends ((Pull × Pull) → (Vector × Pull))
|
||||
case object OnCollision extends ((Obj × Pull × Pull) → (Obj × Number × Vector × Pull))
|
||||
case object Loop extends ((Number × Number × Pull × Pull) → (Number × Pull))
|
||||
case object If extends ((Bool.type × Pull.type × Pull.type × Pull.type) → Pull.type) {
|
||||
override def left: Bool.type × Pull.type × Pull.type × Pull.type = ×(×(×(Bool, Pull), Pull), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object OnPlay extends ((Pull.type × Pull.type) → Pull.type) {
|
||||
override def left: Pull.type × Pull.type = ×(Pull, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object LateUpdate extends ((Pull.type × Pull.type) → Pull.type) {
|
||||
override def left: Pull.type × Pull.type = ×(Pull, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object BoxArt extends ((Pull.type × Pull.type) → Pull.type) {
|
||||
override def left: Pull.type × Pull.type = ×(Pull, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case class OnTouch(event: TouchEvent, finger: TouchFinger) extends ((Pull.type × Pull.type) → (Number.type × Number.type × Pull.type)) {
|
||||
override def left: Pull.type × Pull.type = ×(Pull, Pull)
|
||||
override def right: Number.type × Number.type × Pull.type = ×(×(Number, Number), Pull)
|
||||
}
|
||||
case object OnSwipe extends ((Pull.type × Pull.type) → (Vector.type × Pull.type)) {
|
||||
override def left: Pull.type × Pull.type = ×(Pull, Pull)
|
||||
override def right: Vector.type × Pull.type = ×(Vector, Pull)
|
||||
}
|
||||
case object OnCollision extends ((Obj.type × Pull.type × Pull.type) → (Obj.type × Number.type × Vector.type × Pull.type)) {
|
||||
override def left: Obj.type × Pull.type × Pull.type = ×(×(Obj, Pull), Pull)
|
||||
override def right: Obj.type × Number.type × Vector.type × Pull.type = ×(×(×(Obj, Number), Vector), Pull)
|
||||
}
|
||||
case object Loop extends ((Number.type × Number.type × Pull.type × Pull.type) → (Number.type × Pull.type)) {
|
||||
override def left: Number.type × Number.type × Pull.type × Pull.type = ×(×(×(Number, Number), Pull), Pull)
|
||||
override def right: Number.type × Pull.type = ×(Number, Pull)
|
||||
}
|
||||
|
||||
case object Negate extends (Number → Number)
|
||||
case object Inverse extends (Rotation → Rotation)
|
||||
case object AddNumbers extends ((Number × Number) → Number)
|
||||
case object AddVectors extends ((Vector × Vector) → Vector)
|
||||
case object SubtractNumbers extends ((Number × Number) → Number)
|
||||
case object SubtractVectors extends ((Vector × Vector) → Vector)
|
||||
case object Multiply extends ((Number × Number) → Number)
|
||||
case object Scale extends ((Vector × Number) → Vector)
|
||||
case object Rotate extends ((Vector × Rotation) → Vector)
|
||||
case object Combine extends ((Rotation × Rotation) → Rotation)
|
||||
case object Divide extends ((Number × Number) → Number)
|
||||
case object Power extends ((Number × Number) → Number)
|
||||
case object EqualNumbers extends ((Number × Number) → Bool)
|
||||
case object EqualVectors extends ((Vector × Vector) → Bool)
|
||||
case object EqualObjects extends ((Obj × Obj) → Bool)
|
||||
case object EqualTruths extends ((Bool × Bool) → Bool)
|
||||
case object LessThan extends ((Number × Number) → Bool)
|
||||
case object GreaterThan extends ((Number × Number) → Bool)
|
||||
case object And extends ((Bool × Bool) → Bool)
|
||||
case object Or extends ((Bool × Bool) → Bool)
|
||||
case object Not extends (Bool → Bool)
|
||||
case object Random extends ((Number × Number) → Number)
|
||||
case object RandomSeed extends ((Number × Pull) → Pull)
|
||||
case object Min extends ((Number × Number) → Number)
|
||||
case object Max extends ((Number × Number) → Number)
|
||||
case object Sin extends (Number → Number)
|
||||
case object Cos extends (Number → Number)
|
||||
case object Round extends (Number → Number)
|
||||
case object Floor extends (Number → Number)
|
||||
case object Ceiling extends (Number → Number)
|
||||
case object Absolute extends (Number → Number)
|
||||
case object Modulo extends ((Number × Number) → Number)
|
||||
case object Logarithm extends ((Number × Number) → Number)
|
||||
case object BreakVector extends (Vector → (Number × Number × Number))
|
||||
case object MakeVector extends ((Number × Number × Number) → Vector)
|
||||
case object Normalize extends (Vector → Vector)
|
||||
case object DotProduct extends ((Vector × Vector) → Vector)
|
||||
case object CrossProduct extends ((Vector × Vector) → Vector)
|
||||
case object BreakRotation extends (Rotation → (Number × Number × Number))
|
||||
case object MakeRotation extends ((Number × Number × Number) → Rotation)
|
||||
case object Distance extends ((Vector × Vector) → Number)
|
||||
case object LERP extends ((Rotation × Rotation × Number) → Rotation)
|
||||
case object AxisAngle extends ((Vector × Number) → Rotation)
|
||||
case object ScreenToWorld extends ((Number × Number) → (Vector × Vector))
|
||||
case object WorldToScreen extends (Vector → (Number × Number))
|
||||
case object LineVsPlane extends ((Vector × Vector × Vector × Vector) → Vector)
|
||||
case object LookRotation extends ((Vector × Vector) → Rotation)
|
||||
case object Negate extends (Number.type → Number.type) {
|
||||
override def left: Number.type = Number
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Inverse extends (Rotation.type → Rotation.type) {
|
||||
override def left: Rotation.type = Rotation
|
||||
override def right: Rotation.type = Rotation
|
||||
}
|
||||
case object AddNumbers extends ((Number.type × Number.type) → Number.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object AddVectors extends ((Vector.type × Vector.type) → Vector.type) {
|
||||
override def left: Vector.type × Vector.type = ×(Vector, Vector)
|
||||
override def right: Vector.type = Vector
|
||||
}
|
||||
case object SubtractNumbers extends ((Number.type × Number.type) → Number.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object SubtractVectors extends ((Vector.type × Vector.type) → Vector.type) {
|
||||
override def left: Vector.type × Vector.type = ×(Vector, Vector)
|
||||
override def right: Vector.type = Vector
|
||||
}
|
||||
case object Multiply extends ((Number.type × Number.type) → Number.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Scale extends ((Vector.type × Number.type) → Vector.type) {
|
||||
override def left: Vector.type × Number.type = ×(Vector, Number)
|
||||
override def right: Vector.type = Vector
|
||||
}
|
||||
case object Rotate extends ((Vector.type × Rotation.type) → Vector.type) {
|
||||
override def left: Vector.type × Rotation.type = ×(Vector, Rotation)
|
||||
override def right: Vector.type = Vector
|
||||
}
|
||||
case object Combine extends ((Rotation.type × Rotation.type) → Rotation.type) {
|
||||
override def left: Rotation.type × Rotation.type = ×(Rotation, Rotation)
|
||||
override def right: Rotation.type = Rotation
|
||||
}
|
||||
case object Divide extends ((Number.type × Number.type) → Number.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Power extends ((Number.type × Number.type) → Number.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object EqualNumbers extends ((Number.type × Number.type) → Bool.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Bool.type = Bool
|
||||
}
|
||||
case object EqualVectors extends ((Vector.type × Vector.type) → Bool.type) {
|
||||
override def left: Vector.type × Vector.type = ×(Vector, Vector)
|
||||
override def right: Bool.type = Bool
|
||||
}
|
||||
case object EqualObjects extends ((Obj.type × Obj.type) → Bool.type) {
|
||||
override def left: Obj.type × Obj.type = ×(Obj, Obj)
|
||||
override def right: Bool.type = Bool
|
||||
}
|
||||
case object EqualTruths extends ((Bool.type × Bool.type) → Bool.type) {
|
||||
override def left: Bool.type × Bool.type = ×(Bool, Bool)
|
||||
override def right: Bool.type = Bool
|
||||
}
|
||||
case object LessThan extends ((Number.type × Number.type) → Bool.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Bool.type = Bool
|
||||
}
|
||||
case object GreaterThan extends ((Number.type × Number.type) → Bool.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Bool.type = Bool
|
||||
}
|
||||
case object And extends ((Bool.type × Bool.type) → Bool.type) {
|
||||
override def left: Bool.type × Bool.type = ×(Bool, Bool)
|
||||
override def right: Bool.type = Bool
|
||||
}
|
||||
case object Or extends ((Bool.type × Bool.type) → Bool.type) {
|
||||
override def left: Bool.type × Bool.type = ×(Bool, Bool)
|
||||
override def right: Bool.type = Bool
|
||||
}
|
||||
case object Not extends (Bool.type → Bool.type) {
|
||||
override def left: Bool.type = Bool
|
||||
override def right: Bool.type = Bool
|
||||
}
|
||||
case object Random extends ((Number.type × Number.type) → Number.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object RandomSeed extends ((Number.type × Pull.type) → Pull.type) {
|
||||
override def left: Number.type × Pull.type = ×(Number, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object Min extends ((Number.type × Number.type) → Number.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Max extends ((Number.type × Number.type) → Number.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Sin extends (Number.type → Number.type) {
|
||||
override def left: Number.type = Number
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Cos extends (Number.type → Number.type) {
|
||||
override def left: Number.type = Number
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Round extends (Number.type → Number.type) {
|
||||
override def left: Number.type = Number
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Floor extends (Number.type → Number.type) {
|
||||
override def left: Number.type = Number
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Ceiling extends (Number.type → Number.type) {
|
||||
override def left: Number.type = Number
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Absolute extends (Number.type → Number.type) {
|
||||
override def left: Number.type = Number
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Modulo extends ((Number.type × Number.type) → Number.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object Logarithm extends ((Number.type × Number.type) → Number.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object BreakVector extends (Vector.type → (Number.type × Number.type × Number.type)) {
|
||||
override def left: Vector.type = Vector
|
||||
override def right: Number.type × Number.type × Number.type = ×(×(Number, Number), Number)
|
||||
}
|
||||
case object MakeVector extends ((Number.type × Number.type × Number.type) → Vector.type) {
|
||||
override def left: Number.type × Number.type × Number.type = ×(×(Number, Number), Number)
|
||||
override def right: Vector.type = Vector
|
||||
}
|
||||
case object Normalize extends (Vector.type → Vector.type) {
|
||||
override def left: Vector.type = Vector
|
||||
override def right: Vector.type = Vector
|
||||
}
|
||||
case object DotProduct extends ((Vector.type × Vector.type) → Vector.type) {
|
||||
override def left: Vector.type × Vector.type = ×(Vector, Vector)
|
||||
override def right: Vector.type = Vector
|
||||
}
|
||||
case object CrossProduct extends ((Vector.type × Vector.type) → Vector.type) {
|
||||
override def left: Vector.type × Vector.type = ×(Vector, Vector)
|
||||
override def right: Vector.type = Vector
|
||||
}
|
||||
case object BreakRotation extends (Rotation.type → (Number.type × Number.type × Number.type)) {
|
||||
override def left: Rotation.type = Rotation
|
||||
override def right: Number.type × Number.type × Number.type = ×(×(Number, Number), Number)
|
||||
}
|
||||
case object MakeRotation extends ((Number.type × Number.type × Number.type) → Rotation.type) {
|
||||
override def left: Number.type × Number.type × Number.type = ×(×(Number, Number), Number)
|
||||
override def right: Rotation.type = Rotation
|
||||
}
|
||||
case object Distance extends ((Vector.type × Vector.type) → Number.type) {
|
||||
override def left: Vector.type × Vector.type = ×(Vector, Vector)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object LERP extends ((Rotation.type × Rotation.type × Number.type) → Rotation.type) {
|
||||
override def left: Rotation.type × Rotation.type × Number.type = ×(×(Rotation, Rotation), Number)
|
||||
override def right: Rotation.type = Rotation
|
||||
}
|
||||
case object AxisAngle extends ((Vector.type × Number.type) → Rotation.type) {
|
||||
override def left: Vector.type × Number.type = ×(Vector, Number)
|
||||
override def right: Rotation.type = Rotation
|
||||
}
|
||||
case object ScreenToWorld extends ((Number.type × Number.type) → (Vector.type × Vector.type)) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Vector.type × Vector.type = ×(Vector, Vector)
|
||||
}
|
||||
case object WorldToScreen extends (Vector.type → (Number.type × Number.type)) {
|
||||
override def left: Vector.type = Vector
|
||||
override def right: Number.type × Number.type = ×(Number, Number)
|
||||
}
|
||||
case object LineVsPlane extends ((Vector.type × Vector.type × Vector.type × Vector.type) → Vector.type) {
|
||||
override def left: Vector.type × Vector.type × Vector.type × Vector.type = ×(×(×(Vector, Vector), Vector), Vector)
|
||||
override def right: Vector.type = Vector
|
||||
}
|
||||
case object LookRotation extends ((Vector.type × Vector.type) → Rotation.type) {
|
||||
override def left: Vector.type × Vector.type = ×(Vector, Vector)
|
||||
override def right: Rotation.type = Rotation
|
||||
}
|
||||
|
||||
case class GetNumber(name: String) extends (T → Number)
|
||||
case class GetObject(name: String) extends (T → Obj)
|
||||
case class GetVector(name: String) extends (T → Vector)
|
||||
case class GetRotation(name: String) extends (T → Rotation)
|
||||
case class GetTruth(name: String) extends (T → Bool)
|
||||
case class GetConstraint(name: String) extends (T → Constraint)
|
||||
case class SetNumber(name: String) extends ((Number × Pull) → Pull)
|
||||
case class SetObject(name: String) extends ((Obj × Pull) → Pull)
|
||||
case class SetVector(name: String) extends ((Vector × Pull) → Pull)
|
||||
case class SetRotation(name: String) extends ((Rotation × Pull) → Pull)
|
||||
case class SetTruth(name: String) extends ((Bool × Pull) → Pull)
|
||||
case class SetConstraint(name: String) extends ((Constraint × Pull) → Pull)
|
||||
case object SetNumberRef extends ((Number × Number × Pull) → Pull)
|
||||
case object SetObjectRef extends ((Obj × Obj × Pull) → Pull)
|
||||
case object SetVectorRef extends ((Vector × Vector × Pull) → Pull)
|
||||
case object SetRotationRef extends ((Rotation × Rotation × Pull) → Pull)
|
||||
case object SetTruthRef extends ((Bool × Bool × Pull) → Pull)
|
||||
case object SetConstraintRef extends ((Constraint × Constraint × Pull) → Pull)
|
||||
case object ListNumber extends ((Number × Number) → Number)
|
||||
case object ListObject extends ((Obj × Number) → Obj)
|
||||
case object ListVector extends ((Vector × Number) → Vector)
|
||||
case object ListRotation extends ((Rotation × Number) → Rotation)
|
||||
case object ListTruth extends ((Bool × Number) → Bool)
|
||||
case object ListConstraint extends ((Constraint × Number) → Constraint)
|
||||
case object Increment extends ((Number × Pull) → Pull)
|
||||
case object Decrement extends ((Number × Pull) → Pull)
|
||||
case class GetNumber(name: String) extends (T.type → Number.type) {
|
||||
override def left: T.type = T
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case class GetObject(name: String) extends (T.type → Obj.type) {
|
||||
override def left: T.type = T
|
||||
override def right: Obj.type = Obj
|
||||
}
|
||||
case class GetVector(name: String) extends (T.type → Vector.type) {
|
||||
override def left: T.type = T
|
||||
override def right: Vector.type = Vector
|
||||
}
|
||||
case class GetRotation(name: String) extends (T.type → Rotation.type) {
|
||||
override def left: T.type = T
|
||||
override def right: Rotation.type = Rotation
|
||||
}
|
||||
case class GetTruth(name: String) extends (T.type → Bool.type) {
|
||||
override def left: T.type = T
|
||||
override def right: Bool.type = Bool
|
||||
}
|
||||
case class GetConstraint(name: String) extends (T.type → Constraint.type) {
|
||||
override def left: T.type = T
|
||||
override def right: Constraint.type = Constraint
|
||||
}
|
||||
case class SetNumber(name: String) extends ((Number.type × Pull.type) → Pull.type) {
|
||||
override def left: Number.type × Pull.type = ×(Number, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case class SetObject(name: String) extends ((Obj.type × Pull.type) → Pull.type) {
|
||||
override def left: Obj.type × Pull.type = ×(Obj, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case class SetVector(name: String) extends ((Vector.type × Pull.type) → Pull.type) {
|
||||
override def left: Vector.type × Pull.type = ×(Vector, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case class SetRotation(name: String) extends ((Rotation.type × Pull.type) → Pull.type) {
|
||||
override def left: Rotation.type × Pull.type = ×(Rotation, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case class SetTruth(name: String) extends ((Bool.type × Pull.type) → Pull.type) {
|
||||
override def left: Bool.type × Pull.type = ×(Bool, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case class SetConstraint(name: String) extends ((Constraint.type × Pull.type) → Pull.type) {
|
||||
override def left: Constraint.type × Pull.type = ×(Constraint, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object SetNumberRef extends ((Number.type × Number.type × Pull.type) → Pull.type) {
|
||||
override def left: Number.type × Number.type × Pull.type = ×(×(Number, Number), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object SetObjectRef extends ((Obj.type × Obj.type × Pull.type) → Pull.type) {
|
||||
override def left: Obj.type × Obj.type × Pull.type = ×(×(Obj, Obj), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object SetVectorRef extends ((Vector.type × Vector.type × Pull.type) → Pull.type) {
|
||||
override def left: Vector.type × Vector.type × Pull.type = ×(×(Vector, Vector), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object SetRotationRef extends ((Rotation.type × Rotation.type × Pull.type) → Pull.type) {
|
||||
override def left: Rotation.type × Rotation.type × Pull.type = ×(×(Rotation, Rotation), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object SetTruthRef extends ((Bool.type × Bool.type × Pull.type) → Pull.type) {
|
||||
override def left: Bool.type × Bool.type × Pull.type = ×(×(Bool, Bool), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object SetConstraintRef extends ((Constraint.type × Constraint.type × Pull.type) → Pull.type) {
|
||||
override def left: Constraint.type × Constraint.type × Pull.type = ×(×(Constraint, Constraint), Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object ListNumber extends ((Number.type × Number.type) → Number.type) {
|
||||
override def left: Number.type × Number.type = ×(Number, Number)
|
||||
override def right: Number.type = Number
|
||||
}
|
||||
case object ListObject extends ((Obj.type × Number.type) → Obj.type) {
|
||||
override def left: Obj.type × Number.type = ×(Obj, Number)
|
||||
override def right: Obj.type = Obj
|
||||
}
|
||||
case object ListVector extends ((Vector.type × Number.type) → Vector.type) {
|
||||
override def left: Vector.type × Number.type = ×(Vector, Number)
|
||||
override def right: Vector.type = Vector
|
||||
}
|
||||
case object ListRotation extends ((Rotation.type × Number.type) → Rotation.type) {
|
||||
override def left: Rotation.type × Number.type = ×(Rotation, Number)
|
||||
override def right: Rotation.type = Rotation
|
||||
}
|
||||
case object ListTruth extends ((Bool.type × Number.type) → Bool.type) {
|
||||
override def left: Bool.type × Number.type = ×(Bool, Number)
|
||||
override def right: Bool.type = Bool
|
||||
}
|
||||
case object ListConstraint extends ((Constraint.type × Number.type) → Constraint.type) {
|
||||
override def left: Constraint.type × Number.type = ×(Constraint, Number)
|
||||
override def right: Constraint.type = Constraint
|
||||
}
|
||||
case object Increment extends ((Number.type × Pull.type) → Pull.type) {
|
||||
override def left: Number.type × Pull.type = ×(Number, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
case object Decrement extends ((Number.type × Pull.type) → Pull.type) {
|
||||
override def left: Number.type × Pull.type = ×(Number, Pull)
|
||||
override def right: Pull.type = Pull
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
implicit lazy val fanscript: Cartesian[Pin, →, T, ×] with ArrowLoop[Pin, →, T, ×, →] = new Cartesian[Pin, →, T, ×] with ArrowLoop[Pin, →, T, ×, →] {
|
||||
implicit lazy val fanscript:
|
||||
Cartesian[Pin, PinEv, →, T.type, ×] with ArrowLoop[Pin, PinEv, →, T.type, ×, →] =
|
||||
new Cartesian[Pin, PinEv, →, T.type, ×] with ArrowLoop[Pin, PinEv, →, T.type, ×, →] {
|
||||
|
||||
override def id[A <: Pin]: A → A =
|
||||
Id[A]()
|
||||
override def duplicate[A <: Pin](implicit a: PinEv[A]): A → (A × A) =
|
||||
Duplicate(a.value)
|
||||
|
||||
override def duplicate[A <: Pin]: A → (A × A) =
|
||||
Duplicate[A]()
|
||||
override def terminate[A <: Pin](implicit a: PinEv[A]): A → T.type =
|
||||
Terminate(a.value)
|
||||
|
||||
override def terminate[A <: Pin]: A → T =
|
||||
Terminate[A]()
|
||||
override def loop[A <: Pin, B <: Pin, C <: Pin](f: (A × C) → (B × C)): A → B =
|
||||
Loop(f)
|
||||
|
||||
override def swap[A <: Pin, B <: Pin]: (A × B) → (B × A) =
|
||||
Swap()
|
||||
override def lift[A <: Pin, B <: Pin](f: A → B): A → B =
|
||||
f
|
||||
|
||||
override def lift[A <: Pin, B <: Pin](f: A → B): A → B =
|
||||
f
|
||||
override def id[A <: Pin](implicit a: PinEv[A]): A → A =
|
||||
Id(a.value)
|
||||
|
||||
override def strongProfunctorCategory: Monoidal[Pin, →, T, ×] = this
|
||||
override def strongProfunctorCategory: Monoidal[Pin, PinEv, →, T.type, ×] =
|
||||
this
|
||||
|
||||
override def first[A <: Pin, B <: Pin, C <: Pin]: (A → B) ⇒ ((A × C) → (B × C)) =
|
||||
Bimap[A, B, C, C](_, id[C])
|
||||
override def first[A <: Pin, B <: Pin, C <: Pin](f: A → B)(implicit c: PinEv[C]): (A × C) → (B × C) =
|
||||
bimap(f, id[C])
|
||||
|
||||
override def second[A <: Pin, B <: Pin, C <: Pin]: (A → B) ⇒ ((C × A) → (C × B)) =
|
||||
(f: A → B) => {
|
||||
val firstf: (A × C) → (B × C) = first[A, B, C](f)
|
||||
AndThen(Swap(), AndThen(firstf, Swap()))
|
||||
override def second[A <: Pin, B <: Pin, C <: Pin](f: A → B)(implicit c: PinEv[C]): (C × A) → (C × B) = {
|
||||
implicit val a: PinEv[A] = f.leftEv
|
||||
implicit val b: PinEv[B] = f.rightEv
|
||||
val unswapped: (A × C) → (B × C) = first(f)
|
||||
andThen(swap[C, A], andThen(unswapped, swap[B, C]))
|
||||
}
|
||||
|
||||
override def loop[A <: Pin, B <: Pin, C <: Pin](f: (A × C) → (B × C)): A → B =
|
||||
Loop(f)
|
||||
override def profunctorLeftConstraint[A <: Pin, B <: Pin](f: A → B): PinEv[A] =
|
||||
f.leftEv
|
||||
|
||||
override def associateRight[A <: Pin, B <: Pin, C <: Pin]: ((A × B) × C) → (A × (B × C)) =
|
||||
Associate[A, B, C]()
|
||||
override def profunctorRightConstraint[A <: Pin, B <: Pin](f: A → B): PinEv[B] =
|
||||
f.rightEv
|
||||
|
||||
override def unitorLeft[A <: Pin]: (T × A) → A =
|
||||
Unit()
|
||||
override def swap[A <: Pin, B <: Pin](implicit a: PinEv[A], b: PinEv[B]): (A × B) → (B × A) =
|
||||
Swap(a.value, b.value)
|
||||
|
||||
override def deunitorLeft[A <: Pin]: A → (T × A) =
|
||||
Deunit()
|
||||
override implicit def unitConstraint: PinEv[T.type] =
|
||||
PinEv.pinValueForT
|
||||
|
||||
override def compose[A <: Pin, B <: Pin, C <: Pin](f: B → C, g: A → B): A → C =
|
||||
AndThen(g, f)
|
||||
override def associateRight[A <: Pin, B <: Pin, C <: Pin](implicit a: PinEv[A], b: PinEv[B], c: PinEv[C]): ((A × B) × C) → (A × (B × C)) =
|
||||
Associate(a.value, b.value, c.value)
|
||||
|
||||
override def andThen[A <: Pin, B <: Pin, C <: Pin](f: A → B, g: B → C): A → C =
|
||||
AndThen(f, g)
|
||||
override def unitorLeft[A <: Pin](implicit a: PinEv[A]): (T.type × A) → A =
|
||||
Unit(a.value)
|
||||
|
||||
override def bimap[A <: Pin, B <: Pin, C <: Pin, D <: Pin](f: A → C, g: B → D): (A × B) → (C × D) =
|
||||
Bimap(f, g)
|
||||
override def deunitorLeft[A <: Pin](implicit a: PinEv[A]): A → (T.type × A) =
|
||||
Deunit(a.value)
|
||||
|
||||
}
|
||||
override def homLeftConstraint[A <: Pin, B <: Pin](hom: A → B): PinEv[A] =
|
||||
hom.leftEv
|
||||
|
||||
override def homRightConstraint[A <: Pin, B <: Pin](hom: A → B): PinEv[B] =
|
||||
hom.rightEv
|
||||
|
||||
override def andThen[A <: Pin, B <: Pin, C <: Pin](f: A → B, g: B → C): A → C =
|
||||
AndThen(f, g)
|
||||
|
||||
override def compose[A <: Pin, B <: Pin, C <: Pin](f: B → C, g: A → B): A → C =
|
||||
andThen(g, f)
|
||||
|
||||
override implicit def bifunctorApplyConstraint[A <: Pin, B <: Pin](implicit a: PinEv[A], b: PinEv[B]): PinEv[A × B] =
|
||||
PinEv.pinValueForProduct[A, B](a, b)
|
||||
|
||||
override def bifunctorLeftConstraint[A <: Pin, B <: Pin](implicit e: PinEv[A × B]): PinEv[A] =
|
||||
new PinEv[A] {
|
||||
override val value: A = e.value.a
|
||||
}
|
||||
|
||||
override def bifunctorRightConstraint[A <: Pin, B <: Pin](implicit e: PinEv[A × B]): PinEv[B] =
|
||||
new PinEv[B] {
|
||||
override val value: B = e.value.b
|
||||
}
|
||||
|
||||
override def bimap[A <: Pin, B <: Pin, C <: Pin, D <: Pin](f: A → C, g: B → D): (A × B) → (C × D) =
|
||||
Bimap(f, g)
|
||||
|
||||
}
|
||||
|
||||
}
|
||||
|
|
|
|||
|
|
@ -6,145 +6,145 @@ object Main {
|
|||
import Fanscript._
|
||||
import tf.bug.shinji.syntax.all._
|
||||
// min, max, start, result, after -> end, index, sum, before
|
||||
val sum: (Number × Number × Pull × Number × Pull) → (Pull × Number × Number × Pull) = {
|
||||
val getSum: T → Number = Builtin.GetNumber("Sum")
|
||||
val setSum: (Number × Pull) → Pull = Builtin.SetNumber("Sum")
|
||||
val addToSum: (Number × Pull) → Pull = {
|
||||
val add: (Number × Number) → Number = Builtin.AddNumbers
|
||||
val sumAsFirstInput: (T × Number) → (Number × Number) = getSum.first[Number]
|
||||
val branch: Number → (T × Number) = deunitL(fanscript)
|
||||
val justSecondInput: Number → (Number × Number) = branch >>> sumAsFirstInput
|
||||
val addSum: Number → Number = add.ldimap(justSecondInput)
|
||||
val storeSum: (Number × Pull) → Pull = setSum
|
||||
storeSum.ldimap(fanscript.lbimap(addSum))
|
||||
val sum: (Number.type × Number.type × Pull.type × Number.type × Pull.type) → (Pull.type × Number.type × Number.type × Pull.type) = {
|
||||
val getSum: T.type → Number.type = Builtin.GetNumber("Sum")
|
||||
val setSum: (Number.type × Pull.type) → Pull.type = Builtin.SetNumber("Sum")
|
||||
val addToSum: (Number.type × Pull.type) → Pull.type = {
|
||||
val add: (Number.type × Number.type) → Number.type = Builtin.AddNumbers
|
||||
val sumAsFirstInput: (T.type × Number.type) → (Number.type × Number.type) = fanscript.first(getSum)
|
||||
val branch: Number.type → (T.type × Number.type) = fanscript.deunitorLeft
|
||||
val justSecondInput: Number.type → (Number.type × Number.type) = fanscript.andThen(branch, sumAsFirstInput)
|
||||
val addSum: Number.type → Number.type = fanscript.ldimap[Number.type × Number.type, Number.type, Number.type](justSecondInput).apply(add)
|
||||
val storeSum: (Number.type × Pull.type) → Pull.type = setSum
|
||||
fanscript.ldimap[Number.type × Pull.type, Pull.type, Number.type × Pull.type](fanscript.lbimap(addSum)).apply(storeSum)
|
||||
}
|
||||
|
||||
val getIndex: T → Number = Builtin.GetNumber("Index")
|
||||
val setIndex: (Number × Pull) → Pull = Builtin.SetNumber("Index")
|
||||
val indexGreaterThan: Number → Bool = {
|
||||
val greaterThan: (Number × Number) → Bool = Builtin.GreaterThan
|
||||
val indexAsFirstInput: (T × Number) → (Number × Number) = getIndex.first[Number]
|
||||
val branch: Number → (T × Number) = deunitL(fanscript)
|
||||
val comparisonAsSecondInput: Number → (Number × Number) = branch >>> indexAsFirstInput
|
||||
comparisonAsSecondInput >>> greaterThan
|
||||
val getIndex: T.type → Number.type = Builtin.GetNumber("Index")
|
||||
val setIndex: (Number.type × Pull.type) → Pull.type = Builtin.SetNumber("Index")
|
||||
val indexGreaterThan: Number.type → Bool.type = {
|
||||
val greaterThan: (Number.type × Number.type) → Bool.type = Builtin.GreaterThan
|
||||
val indexAsFirstInput: (T.type × Number.type) → (Number.type × Number.type) = fanscript.first(getIndex)
|
||||
val branch: Number.type → (T.type × Number.type) = fanscript.deunitorLeft
|
||||
val comparisonAsSecondInput: Number.type → (Number.type × Number.type) = fanscript.andThen(branch, indexAsFirstInput)
|
||||
fanscript.andThen(comparisonAsSecondInput, greaterThan)
|
||||
}
|
||||
val indexNotGreaterThan: Number → Bool = indexGreaterThan >>> Builtin.Not
|
||||
val checkContinue: (Number × Pull × Pull × Pull) → Pull = {
|
||||
val ifBlock: (Bool × Pull × Pull × Pull) → Pull = Builtin.If
|
||||
val checkGreater: (Number × Pull × Pull × Pull) → (Bool × Pull × Pull × Pull) = {
|
||||
val one: (Number × Pull) → (Bool × Pull) = indexGreaterThan.first[Pull]
|
||||
val two: (Number × Pull × Pull) → (Bool × Pull × Pull) = fanscript.first(one)
|
||||
val three: (Number × Pull × Pull × Pull) → (Bool × Pull × Pull × Pull) = fanscript.first(two)
|
||||
val indexNotGreaterThan: Number.type → Bool.type = fanscript.andThen(indexGreaterThan, Builtin.Not)
|
||||
val checkContinue: (Number.type × Pull.type × Pull.type × Pull.type) → Pull.type = {
|
||||
val ifBlock: (Bool.type × Pull.type × Pull.type × Pull.type) → Pull.type = Builtin.If
|
||||
val checkGreater: (Number.type × Pull.type × Pull.type × Pull.type) → (Bool.type × Pull.type × Pull.type × Pull.type) = {
|
||||
val one: (Number.type × Pull.type) → (Bool.type × Pull.type) = fanscript.first(indexGreaterThan)
|
||||
val two: (Number.type × Pull.type × Pull.type) → (Bool.type × Pull.type × Pull.type) = fanscript.first(one)
|
||||
val three: (Number.type × Pull.type × Pull.type × Pull.type) → (Bool.type × Pull.type × Pull.type × Pull.type) = fanscript.first(two)
|
||||
three
|
||||
}
|
||||
fanscript.andThen(checkGreater, ifBlock)
|
||||
}
|
||||
|
||||
// sumToIndex -> before
|
||||
val initializeSum: Pull → Pull = {
|
||||
val zero: T → Number = Builtin.NumberValue(0.0F)
|
||||
val zeroAsInput: (T × Pull) → (Number × Pull) = zero.first[Pull]
|
||||
val branch: Pull → (T × Pull) = fanscript.deunitorLeft[Pull]
|
||||
branch >>> zeroAsInput >>> setSum
|
||||
val initializeSum: Pull.type → Pull.type = {
|
||||
val zero: T.type → Number.type = Builtin.NumberValue(0.0F)
|
||||
val zeroAsInput: (T.type × Pull.type) → (Number.type × Pull.type) = fanscript.first(zero)
|
||||
val branch: Pull.type → (T.type × Pull.type) = fanscript.deunitorLeft[Pull.type]
|
||||
fanscript.andThen(fanscript.andThen(branch, zeroAsInput), setSum)
|
||||
}
|
||||
|
||||
// min, indexToLoopStart -> sumToIndex
|
||||
val initializeIndex: (Number × Pull) → Pull = setIndex
|
||||
val initializeIndex: (Number.type × Pull.type) → Pull.type = setIndex
|
||||
|
||||
// max, start, ◌, after -> (indexToLoopStart + incrementToLoop)
|
||||
val startLoop: (Number × Pull × Pull × Pull) → Pull = checkContinue
|
||||
val startLoop: (Number.type × Pull.type × Pull.type × Pull.type) → Pull.type = checkContinue
|
||||
|
||||
// result, increaseSum -> end
|
||||
val increaseSum: (Number × Pull) → Pull = addToSum
|
||||
val increaseSum: (Number.type × Pull.type) → Pull.type = addToSum
|
||||
|
||||
// incrementToLoop -> increaseSum
|
||||
val incrementIndex: Pull → Pull = {
|
||||
val get: T → Number = getIndex
|
||||
val set: (Number × Pull) → Pull = setIndex
|
||||
val one: T → Number = Builtin.NumberValue(1.0F)
|
||||
val additionOperands: T → (Number × Number) = get &&& one
|
||||
val add: T → Number = additionOperands >>> Builtin.AddNumbers
|
||||
val carryPull: (T × Pull) → (Number × Pull) = add.first[Pull]
|
||||
val branch: Pull → (T × Pull) = fanscript.deunitorLeft[Pull]
|
||||
branch >>> carryPull >>> set
|
||||
val incrementIndex: Pull.type → Pull.type = {
|
||||
val get: T.type → Number.type = getIndex
|
||||
val set: (Number.type × Pull.type) → Pull.type = setIndex
|
||||
val one: T.type → Number.type = Builtin.NumberValue(1.0F)
|
||||
val additionOperands: T.type → (Number.type × Number.type) = fanscript.merge(get, one)
|
||||
val add: T.type → Number.type = fanscript.andThen(additionOperands, Builtin.AddNumbers)
|
||||
val carryPull: (T.type × Pull.type) → (Number.type × Pull.type) = fanscript.first(add)
|
||||
val branch: Pull.type → (T.type × Pull.type) = fanscript.deunitorLeft[Pull.type]
|
||||
fanscript.andThen(fanscript.andThen(branch, carryPull), set)
|
||||
}
|
||||
|
||||
// min, indexToLoopStart -> before
|
||||
val initialize: (Number × Pull) → Pull = initializeIndex >>> initializeSum
|
||||
val initialize: (Number.type × Pull.type) → Pull.type = fanscript.andThen(initializeIndex, initializeSum)
|
||||
|
||||
// result, incrementToLoop -> end
|
||||
val postLoop: (Number × Pull) → Pull = {
|
||||
val carryResult = fanscript.second[Pull, Pull, Number](incrementIndex)
|
||||
val postLoop: (Number.type × Pull.type) → Pull.type = {
|
||||
val carryResult = fanscript.second[Pull.type, Pull.type, Number.type](incrementIndex)
|
||||
fanscript.andThen(carryResult, increaseSum)
|
||||
}
|
||||
|
||||
// max, start, after -> (indexToLoopStart + incrementToLoop)
|
||||
val condition: (Number × Pull × Pull) → Pull = {
|
||||
val zThree: (Number × Pull) → (Number × Pull × Pull) =
|
||||
val condition: (Number.type × Pull.type × Pull.type) → Pull.type = {
|
||||
val zThree: (Number.type × Pull.type) → (Number.type × Pull.type × Pull.type) =
|
||||
fanscript.andThen(fanscript.deunitorRight, fanscript.rbimap(Z))
|
||||
val zFour: (Number × Pull × Pull) → (Number × Pull × Pull × Pull) =
|
||||
val zFour: (Number.type × Pull.type × Pull.type) → (Number.type × Pull.type × Pull.type × Pull.type) =
|
||||
fanscript.lbimap(zThree)
|
||||
fanscript.ldimap(zFour)(checkContinue)
|
||||
fanscript.ldimap[Number.type × Pull.type × Pull.type × Pull.type, Pull.type, Number.type × Pull.type × Pull.type](zFour).apply(checkContinue)
|
||||
}
|
||||
|
||||
// min, max, start, result, after -> end, index, sum, before
|
||||
val result: (Number × Number × Pull × Number × Pull) → (Pull × Number × Number × Pull) = {
|
||||
val result: (Number.type × Number.type × Pull.type × Number.type × Pull.type) → (Pull.type × Number.type × Number.type × Pull.type) = {
|
||||
// max, start, after -> indexToLoopStart, incrementToLoop
|
||||
val duplicateCondition: (Number × Pull × Pull) → (Pull × Pull) =
|
||||
val duplicateCondition: (Number.type × Pull.type × Pull.type) → (Pull.type × Pull.type) =
|
||||
fanscript.andThen(condition, fanscript.duplicate)
|
||||
|
||||
// min, indexToLoopStart, result, incrementToLoop -> before, end
|
||||
val conditionPrecursors: (Number × Pull × Number × Pull) → (Pull × Pull) =
|
||||
fanscript.andThen(fanscript.associateRight[Number × Pull, Number, Pull], fanscript.split[Number × Pull, Pull, Number × Pull, Pull](initialize, postLoop))
|
||||
val conditionPrecursors: (Number.type × Pull.type × Number.type × Pull.type) → (Pull.type × Pull.type) =
|
||||
fanscript.associateRight[Number.type × Pull.type, Number.type, Pull.type] >>> (initialize *** postLoop)
|
||||
|
||||
// min, result, (indexToLoopStart, incrementToLoop) -> end, before
|
||||
val orientConditionPrecursors: ((Number × Number) × (Pull × Pull)) → (Pull × Pull) = {
|
||||
val flattenAssoc: ((Number × Number) × (Pull × Pull)) → (((Number × Number) × Pull) × Pull) = fanscript.associateLeft
|
||||
val assocInside: (((Number × Number) × Pull) × Pull) → ((Number × (Number × Pull)) × Pull) = fanscript.lbimap(fanscript.associateRight)
|
||||
val swapInside: ((Number × (Number × Pull)) × Pull) → ((Number × (Pull × Number)) × Pull) = fanscript.lbimap(fanscript.rbimap(fanscript.swap))
|
||||
val reassocInside: ((Number × (Pull × Number)) × Pull) → (((Number × Pull) × Number) × Pull) = fanscript.lbimap(fanscript.associateLeft)
|
||||
val orientConditionInputs: ((Number × Number) × (Pull × Pull)) → (((Number × Pull) × Number) × Pull) =
|
||||
val orientConditionPrecursors: ((Number.type × Number.type) × (Pull.type × Pull.type)) → (Pull.type × Pull.type) = {
|
||||
val flattenAssoc: ((Number.type × Number.type) × (Pull.type × Pull.type)) → (((Number.type × Number.type) × Pull.type) × Pull.type) = fanscript.associateLeft
|
||||
val assocInside: (((Number.type × Number.type) × Pull.type) × Pull.type) → ((Number.type × (Number.type × Pull.type)) × Pull.type) = fanscript.lbimap(fanscript.associateRight)
|
||||
val swapInside: ((Number.type × (Number.type × Pull.type)) × Pull.type) → ((Number.type × (Pull.type × Number.type)) × Pull.type) = fanscript.lbimap(fanscript.rbimap(fanscript.swap))
|
||||
val reassocInside: ((Number.type × (Pull.type × Number.type)) × Pull.type) → (((Number.type × Pull.type) × Number.type) × Pull.type) = fanscript.lbimap(fanscript.associateLeft)
|
||||
val orientConditionInputs: ((Number.type × Number.type) × (Pull.type × Pull.type)) → (((Number.type × Pull.type) × Number.type) × Pull.type) =
|
||||
fanscript.andThen(fanscript.andThen(fanscript.andThen(flattenAssoc, assocInside), swapInside), reassocInside)
|
||||
|
||||
val swapEnd: (Pull × Pull) → (Pull × Pull) = fanscript.swap
|
||||
val swapEnd: (Pull.type × Pull.type) → (Pull.type × Pull.type) = fanscript.swap
|
||||
|
||||
fanscript.dimap(orientConditionInputs, swapEnd)(conditionPrecursors)
|
||||
}
|
||||
|
||||
// min, max, start, result, after -> end, before
|
||||
val nonNumbers: (Number × Number × Pull × Number × Pull) → (Pull × Pull) = {
|
||||
val duplicateConditionLeftNumbers: ((Number × Number) × (Number × Pull × Pull)) → ((Number × Number) × (Pull × Pull)) =
|
||||
fanscript.second[Number × Pull × Pull, Pull × Pull, Number × Number](duplicateCondition)
|
||||
val nonNumbers: (Number.type × Number.type × Pull.type × Number.type × Pull.type) → (Pull.type × Pull.type) = {
|
||||
val duplicateConditionLeftNumbers: ((Number.type × Number.type) × (Number.type × Pull.type × Pull.type)) → ((Number.type × Number.type) × (Pull.type × Pull.type)) =
|
||||
fanscript.second[Number.type × Pull.type × Pull.type, Pull.type × Pull.type, Number.type × Number.type](duplicateCondition)
|
||||
|
||||
// (min, result), (max, start, after) -> end, before
|
||||
val aggregate: ((Number × Number) × (Number × Pull × Pull)) → (Pull × Pull) =
|
||||
val aggregate: ((Number.type × Number.type) × (Number.type × Pull.type × Pull.type)) → (Pull.type × Pull.type) =
|
||||
fanscript.andThen(duplicateConditionLeftNumbers, orientConditionPrecursors)
|
||||
|
||||
// (max, start, after, (min, result)) -> end, before
|
||||
val align: (Number × Pull × Pull × (Number × Number)) → (Pull × Pull) =
|
||||
val align: (Number.type × Pull.type × Pull.type × (Number.type × Number.type)) → (Pull.type × Pull.type) =
|
||||
fanscript.andThen(fanscript.swap, aggregate)
|
||||
|
||||
// max, start, after, min, result -> end, before
|
||||
val assoc: (Number × Pull × Pull × Number × Number) → (Pull × Pull) =
|
||||
val assoc: (Number.type × Pull.type × Pull.type × Number.type × Number.type) → (Pull.type × Pull.type) =
|
||||
fanscript.andThen(fanscript.associateRight, align)
|
||||
|
||||
// min, max, start, result, after -> max, start, after, min, result
|
||||
val realign: ((((Number × Number) × Pull) × Number) × Pull) → ((((Number × Pull) × Pull) × Number) × Number) = {
|
||||
val one: ((((Number × Number) × Pull) × Number) × Pull) → (((Number × (Number × Pull)) × Number) × Pull) =
|
||||
val realign: ((((Number.type × Number.type) × Pull.type) × Number.type) × Pull.type) → ((((Number.type × Pull.type) × Pull.type) × Number.type) × Number.type) = {
|
||||
val one: ((((Number.type × Number.type) × Pull.type) × Number.type) × Pull.type) → (((Number.type × (Number.type × Pull.type)) × Number.type) × Pull.type) =
|
||||
fanscript.lbimap(fanscript.lbimap(fanscript.associateRight))
|
||||
val two: (((Number × (Number × Pull)) × Number) × Pull) → ((((Number × Pull) × Number) × Number) × Pull) =
|
||||
val two: (((Number.type × (Number.type × Pull.type)) × Number.type) × Pull.type) → ((((Number.type × Pull.type) × Number.type) × Number.type) × Pull.type) =
|
||||
fanscript.lbimap(fanscript.lbimap(fanscript.swap))
|
||||
val three: ((((Number × Pull) × Number) × Number) × Pull) → (((Number × Pull) × Number) × (Number × Pull)) =
|
||||
val three: ((((Number.type × Pull.type) × Number.type) × Number.type) × Pull.type) → (((Number.type × Pull.type) × Number.type) × (Number.type × Pull.type)) =
|
||||
fanscript.associateRight
|
||||
val four: (((Number × Pull) × Number) × (Number × Pull)) → (((Number × Pull) × Number) × (Pull × Number)) =
|
||||
val four: (((Number.type × Pull.type) × Number.type) × (Number.type × Pull.type)) → (((Number.type × Pull.type) × Number.type) × (Pull.type × Number.type)) =
|
||||
fanscript.rbimap(fanscript.swap)
|
||||
val five: (((Number × Pull) × Number) × (Pull × Number)) → ((((Number × Pull) × Number) × Pull) × Number) =
|
||||
val five: (((Number.type × Pull.type) × Number.type) × (Pull.type × Number.type)) → ((((Number.type × Pull.type) × Number.type) × Pull.type) × Number.type) =
|
||||
fanscript.associateLeft
|
||||
val six: ((((Number × Pull) × Number) × Pull) × Number) → (((Number × Pull) × (Number × Pull)) × Number) =
|
||||
val six: ((((Number.type × Pull.type) × Number.type) × Pull.type) × Number.type) → (((Number.type × Pull.type) × (Number.type × Pull.type)) × Number.type) =
|
||||
fanscript.lbimap(fanscript.associateRight)
|
||||
val seven: (((Number × Pull) × (Number × Pull)) × Number) → (((Number × Pull) × (Pull × Number)) × Number) =
|
||||
val seven: (((Number.type × Pull.type) × (Number.type × Pull.type)) × Number.type) → (((Number.type × Pull.type) × (Pull.type × Number.type)) × Number.type) =
|
||||
fanscript.lbimap(fanscript.rbimap(fanscript.swap))
|
||||
val eight: (((Number × Pull) × (Pull × Number)) × Number) → ((((Number × Pull) × Pull) × Number) × Number) =
|
||||
val eight: (((Number.type × Pull.type) × (Pull.type × Number.type)) × Number.type) → ((((Number.type × Pull.type) × Pull.type) × Number.type) × Number.type) =
|
||||
fanscript.lbimap(fanscript.associateLeft)
|
||||
|
||||
fanscript.andThen(
|
||||
|
|
@ -175,10 +175,10 @@ object Main {
|
|||
}
|
||||
|
||||
// end, before -> end, index, sum, before
|
||||
val addOutputs: (Pull × Pull) → (Pull × Number × Number × Pull) =
|
||||
val addOutputs: (Pull.type × Pull.type) → (Pull.type × Number.type × Number.type × Pull.type) =
|
||||
fanscript.lbimap(fanscript.andThen(
|
||||
fanscript.andThen[Pull, Pull × T, Pull × Number](fanscript.deunitorRight[Pull], fanscript.rbimap(getIndex)),
|
||||
fanscript.andThen[Pull × Number, Pull × Number × T, Pull × Number × Number](fanscript.deunitorRight[Pull × Number], fanscript.rbimap(getSum))
|
||||
fanscript.andThen[Pull.type, Pull.type × T.type, Pull.type × Number.type](fanscript.deunitorRight[Pull.type], fanscript.rbimap(getIndex)),
|
||||
fanscript.andThen[Pull.type × Number.type, Pull.type × Number.type × T.type, Pull.type × Number.type × Number.type](fanscript.deunitorRight[Pull.type × Number.type], fanscript.rbimap(getSum))
|
||||
))
|
||||
|
||||
fanscript.andThen(nonNumbers, addOutputs)
|
||||
|
|
|
|||
Loading…
Reference in a new issue