LX Scala 2018/Scala Italy 2018 demo code: "Numeric programming with spire"

demo1.scala

val cities1 = Map("Portugal" -> List("Lisbon"), "Spain" -> List("Madrid"))
val cities2 = Map("Portugal" -> List("Coimbra"))

cities1 |+| cities2

demo2.scala

RingLaws[Int].ring.all.check()
RingLaws[Float].ring.all.check()

demo3.scala

val score = r"5/7"

def twice[A : AdditiveMonoid](a: A) = a + a

twice(score)
twice(3)
twice(Map("Score" -> score))

score.toBigDecimal()

demo4.scala

Real.pi
Real.pi.doubleValue()
Real.pi.toRational(1).toBigDecimal()
Real.pi.toRational(2).toBigDecimal()
Real.pi.toRational(4).toBigDecimal()

demo5.scala

val score = r"5/7"

val confidence = score ± r"1/7"

confidence.intersects(r"3/4" ± r"1/8")
confidence.intersect(r"3/4" ± r"1/8")

prelude.scala

import $ivy.`org.typelevel::spire:0.15.0`
import $ivy.`org.typelevel::spire-laws:0.15.0`

import spire._
import spire.algebra._
import spire.math._
import spire.implicits._
import spire.laws._
import spire.syntax.literals._
import org.scalacheck._