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Working summation

This commit is contained in:
Aly 2021-05-06 21:53:09 -07:00
parent 9a81322ff8
commit 9d0632f645
5 changed files with 186 additions and 9 deletions
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BIN
.gitignore vendored
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5
build.sbt
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@ -2,8 +2,9 @@ lazy val core = (project in file("core")).settings(
organization := "tf.bug",
name := "fancade",
version := "2.0.0-SNAPSHOT",
scalaVersion := "2.13.4",
scalaVersion := "2.13.5",
libraryDependencies ++= Seq(
"tf.bug" %% "shinji" % "0.1.3",
"tf.bug" %% "shinji" % "0.1.6",
"com.lihaoyi" %% "pprint" % "0.5.6",
),
)

12
core/src/main/scala/tf/bug/fancade/Fanscript.scala
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@ -1,6 +1,6 @@
package tf.bug.fancade
import tf.bug.shinji.{Arrow, Cartesian, Monoidal}
import tf.bug.shinji.{Arrow, ArrowLoop, Cartesian, Monoidal}
object Fanscript {
@ -25,6 +25,9 @@ object Fanscript {
case class Duplicate[A <: Pin]() extends (A → (A × A))
case class Terminate[A <: Pin]() extends (A → T)
case class Bimap[A <: Pin, B <: Pin, C <: Pin, D <: Pin](f: A → B, g: C → D) extends ((A × C) → (B × D))
case class Loop[A <: Pin, B <: Pin, C <: Pin](f: (A × C) → (B × C)) extends (A → B)
case object Z extends (T → Pull)
object Builtin {
@ -163,7 +166,7 @@ object Fanscript {
}
implicit val arr: Cartesian[Pin, →, T, ×] with Arrow[Pin, →, T, ×, →] = new Cartesian[Pin, →, T, ×] with Arrow[Pin, →, T, ×, →] {
implicit lazy val fanscript: Cartesian[Pin, →, T, ×] with ArrowLoop[Pin, →, T, ×, →] = new Cartesian[Pin, →, T, ×] with ArrowLoop[Pin, →, T, ×, →] {
override def id[A <: Pin]: A → A =
Id[A]()
@ -180,7 +183,7 @@ object Fanscript {
override def lift[A <: Pin, B <: Pin](f: A → B): A → B =
f
override val strongProfunctorCategory: Monoidal[Pin, →, T, ×] = this
override def strongProfunctorCategory: Monoidal[Pin, →, T, ×] = this
override def first[A <: Pin, B <: Pin, C <: Pin]: (A → B) ⇒ ((A × C) → (B × C)) =
Bimap[A, B, C, C](_, id[C])
@ -191,6 +194,9 @@ object Fanscript {
AndThen(Swap(), AndThen(firstf, Swap()))
}
override def loop[A <: Pin, B <: Pin, C <: Pin](f: (A × C) → (B × C)): A → B =
Loop(f)
override def associateRight[A <: Pin, B <: Pin, C <: Pin]: ((A × B) × C) → (A × (B × C)) =
Associate[A, B, C]()

176
core/src/main/scala/tf/bug/fancade/Main.scala
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@ -5,19 +5,189 @@ object Main {
def main(args: Array[String]): Unit = {
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
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 = Builtin.SetNumber("Sum")
storeSum.ldimap(arr.lbimap(addSum))
val storeSum: (Number × Pull) → Pull = setSum
storeSum.ldimap(fanscript.lbimap(addSum))
}
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 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)
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
}
// min, indexToLoopStart -> sumToIndex
val initializeIndex: (Number × Pull) → Pull = setIndex
// max, start, ◌, after -> (indexToLoopStart + incrementToLoop)
val startLoop: (Number × Pull × Pull × Pull) → Pull = checkContinue
// result, increaseSum -> end
val increaseSum: (Number × Pull) → Pull = 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
}
// min, indexToLoopStart -> before
val initialize: (Number × Pull) → Pull = initializeIndex >>> initializeSum
// result, incrementToLoop -> end
val postLoop: (Number × Pull) → Pull = {
val carryResult = fanscript.second[Pull, Pull, Number](incrementIndex)
fanscript.andThen(carryResult, increaseSum)
}
// max, start, after -> (indexToLoopStart + incrementToLoop)
val condition: (Number × Pull × Pull) → Pull = {
val zThree: (Number × Pull) → (Number × Pull × Pull) =
fanscript.andThen(fanscript.deunitorRight, fanscript.rbimap(Z))
val zFour: (Number × Pull × Pull) → (Number × Pull × Pull × Pull) =
fanscript.lbimap(zThree)
fanscript.ldimap(zFour)(checkContinue)
}
// min, max, start, result, after -> end, index, sum, before
val result: (Number × Number × Pull × Number × Pull) → (Pull × Number × Number × Pull) = {
// max, start, after -> indexToLoopStart, incrementToLoop
val duplicateCondition: (Number × Pull × Pull) → (Pull × Pull) =
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))
// 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) =
fanscript.andThen(fanscript.andThen(fanscript.andThen(flattenAssoc, assocInside), swapInside), reassocInside)
val swapEnd: (Pull × Pull) → (Pull × Pull) = 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)
// (min, result), (max, start, after) -> end, before
val aggregate: ((Number × Number) × (Number × Pull × Pull)) → (Pull × Pull) =
fanscript.andThen(duplicateConditionLeftNumbers, orientConditionPrecursors)
// (max, start, after, (min, result)) -> end, before
val align: (Number × Pull × Pull × (Number × Number)) → (Pull × Pull) =
fanscript.andThen(fanscript.swap, aggregate)
// max, start, after, min, result -> end, before
val assoc: (Number × Pull × Pull × Number × Number) → (Pull × Pull) =
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) =
fanscript.lbimap(fanscript.lbimap(fanscript.associateRight))
val two: (((Number × (Number × Pull)) × Number) × Pull) → ((((Number × Pull) × Number) × Number) × Pull) =
fanscript.lbimap(fanscript.lbimap(fanscript.swap))
val three: ((((Number × Pull) × Number) × Number) × Pull) → (((Number × Pull) × Number) × (Number × Pull)) =
fanscript.associateRight
val four: (((Number × Pull) × Number) × (Number × Pull)) → (((Number × Pull) × Number) × (Pull × Number)) =
fanscript.rbimap(fanscript.swap)
val five: (((Number × Pull) × Number) × (Pull × Number)) → ((((Number × Pull) × Number) × Pull) × Number) =
fanscript.associateLeft
val six: ((((Number × Pull) × Number) × Pull) × Number) → (((Number × Pull) × (Number × Pull)) × Number) =
fanscript.lbimap(fanscript.associateRight)
val seven: (((Number × Pull) × (Number × Pull)) × Number) → (((Number × Pull) × (Pull × Number)) × Number) =
fanscript.lbimap(fanscript.rbimap(fanscript.swap))
val eight: (((Number × Pull) × (Pull × Number)) × Number) → ((((Number × Pull) × Pull) × Number) × Number) =
fanscript.lbimap(fanscript.associateLeft)
fanscript.andThen(
fanscript.andThen(
fanscript.andThen(
fanscript.andThen(
fanscript.andThen(
fanscript.andThen(
fanscript.andThen(
one,
two
),
three
),
four
),
five
),
six
),
seven
),
eight
)
}
fanscript.andThen(realign, assoc)
}
// end, before -> end, index, sum, before
val addOutputs: (Pull × Pull) → (Pull × Number × Number × Pull) =
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(nonNumbers, addOutputs)
}
result
}
pprint.pprintln(sum)
}
}

2
project/build.properties
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@ -1 +1 @@
sbt.version=1.4.7
sbt.version=1.5.1