Examples of Unicode Operators using the ScalaTion DSL

ExponentiationApp.scala

object ExponentiationApp extends App with ScalaTion 
{
  val exp1 = 2 ↑ 2 // 4
  val exp2 = 2 ↑ 2 ↑ 2 // 16

  println("2↑2   = %s".format(exp1))
  println("2↑2↑2 = %s".format(exp2))
}

FactorialApp.scala

object FactorialApp extends App with ScalaTion 
{
  val fac1 = 4! // 24
  val fac2 = 3.5! // 11.63172...

  println("4!   = %s".format(fac1))
  println("3.5! = %s".format(fac2))
}

FactorialApp2.scala

object FactorialApp2 extends App with ScalaTion 
{
  val rising = 4 ⇑ 4 // 840
  val falling = 4 ⇓ 4 // 24

  println("4 ⇑ 4 = %s".format(rising))
  println("4 ⇓ 4 = %s".format(falling))
}

IntegralApp.scala

object IntegralApp extends App with ScalaTion 
{
  val int1 = ∫(1 to 4, (i: Double) ⇒ i ↑ 2) // 21

  println("∫(1 to 4, i ⇒ i ↑ 2) = %s".format(int1))
}

ProductApp.scala

object ProductApp extends App with ScalaTion 
{
  val prod1 = ∏(1 to 3) // 6
  val prod2 = ∏(1 to 3, (i: Int) ⇒ i ↑ 2) // 36

  val vec = Vec(1, 2, 3, 4)

  val prod3 = ∏(vec) // 24
  val prod4 = ∏(0 to 2, (i: Int) ⇒ vec(i)) // 6

  println("∏(1 to 3)             = %s".format(prod1))
  println("∏(1 to 3, i ⇒ i ↑ 2)  = %s".format(prod2))
  println("vec                   = %s".format(vec))
  println("∏(vec)                = %s".format(prod3))
  println("∏(0 to 2, i ⇒ vec(i)) = %s".format(prod4))
}

RootApp.scala

object RootApp extends App with ScalaTion 
{
  val root1 = 4 ↓ 2 // 2
  val root2 = 4 ↓ 2 ↓ 2 // 1.41421...
  val test = 4 ↑ 0.5 == 4 ↓ 2 // true

  println("4↓2          = %s".format(root1))
  println("4↓2↓2        = %s".format(root2))
  println("4↑0.5 == 4↓2 = %s".format(test))
}

SetApp.scala

object SetApp extends App with ScalaTion 
{
  val set1 = Set(1, 2, 3, 4)
  val set2 = Set(1.0, 2.0, 3.0, 4.0)

  val setTest1 = 2 ∈ set1 // true
  val setTest2 = 5 ∈ set1 // false
  val setTest3 = 2.0 ∈ set2 // true 

  println("set1     = %s".format(set1))
  println("set2     = %s".format(set2))
  println("2 ∈ set1 = %s".format(setTest1))
  println("5 ∈ set1 = %s".format(setTest2))
  println("2 ∈ set2 = %s".format(setTest3))
}

SummationApp.scala

object SummationApp extends App with ScalaTion 
{
  val sum1 = ∑(1 to 3) // 6
  val sum2 = ∑(1 to 3, (i: Int) ⇒ i ↑ 2) // 14
  val sum3 = ∑(vec) // 10
  val sum4 = ∑(0 to 2, (i: Int) ⇒ vec(i)) // 6

  println("∑(1 to 3)             = %s".format(sum1))
  println("∑(1 to 3, i ⇒ i ↑ 2)  = %s".format(sum2))
  println("vec                   = %s".format(vec))
  println("∑(vec)                = %s".format(sum3))
  println("∑(0 to 2, i ⇒ vec(i)) = %s".format(sum4))
}

VectorApp.scala

object VectorApp extends App with ScalaTion 
{
  val vec1 = Vec(1, 2, 3)
  val vec2 = Vec(4, 3, 2)
  val vec3 = Vec(1, 2, 3, 4, 5, 6, 7)

  val dp1 = vec1 ⋅ vec2 // 16

  val v2 = vec3(2) // 3
  val v3 = vec3(3) // 4

  val v2_4 = vec3(2 to 4)
  val v2_3 = vec3(2 until 4)

  val v2_4_ = vec3(2 ⋯ 4)

  println("vec1            = %s".format(vec1))
  println("vec2            = %s".format(vec2))
  println("vec1 ⋅ vec2     = %s".format(dp1))
  println("vec3            = %s".format(vec3))
  println("vec3(2)         = %s".format(v2))
  println("vec3(3)         = %s".format(v3))
  println("vec3(2 to 4)    = %s".format(v2_4))
  println("vec3(2 until 4) = %s".format(v2_3))
  println("vec3(2 ⋯ 4)     = %s".format(v2_4_))
}