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/*
* Scala (https://www.scala-lang.org)
*
* Copyright EPFL and Lightbend, Inc.
*
* Licensed under Apache License 2.0
* (http://www.apache.org/licenses/LICENSE-2.0).
*
* See the NOTICE file distributed with this work for
* additional information regarding copyright ownership.
*/
package scala
package math
import java.util.Comparator
import scala.language.implicitConversions
import scala.annotation.migration
/** Ordering is a trait whose instances each represent a strategy for sorting
* instances of a type.
*
* Ordering's companion object defines many implicit objects to deal with
* subtypes of AnyVal (e.g. Int, Double), String, and others.
*
* To sort instances by one or more member variables, you can take advantage
* of these built-in orderings using Ordering.by and Ordering.on:
*
* {{{
* import scala.util.Sorting
* val pairs = Array(("a", 5, 2), ("c", 3, 1), ("b", 1, 3))
*
* // sort by 2nd element
* Sorting.quickSort(pairs)(Ordering.by[(String, Int, Int), Int](_._2))
*
* // sort by the 3rd element, then 1st
* Sorting.quickSort(pairs)(Ordering[(Int, String)].on(x => (x._3, x._1)))
* }}}
*
* An Ordering[T] is implemented by specifying compare(a:T, b:T), which
* decides how to order two instances a and b. Instances of Ordering[T] can be
* used by things like scala.util.Sorting to sort collections like Array[T].
*
* For example:
*
* {{{
* import scala.util.Sorting
*
* case class Person(name:String, age:Int)
* val people = Array(Person("bob", 30), Person("ann", 32), Person("carl", 19))
*
* // sort by age
* object AgeOrdering extends Ordering[Person] {
* def compare(a:Person, b:Person) = a.age compare b.age
* }
* Sorting.quickSort(people)(AgeOrdering)
* }}}
*
* This trait and scala.math.Ordered both provide this same functionality, but
* in different ways. A type T can be given a single way to order itself by
* extending Ordered. Using Ordering, this same type may be sorted in many
* other ways. Ordered and Ordering both provide implicits allowing them to be
* used interchangeably.
*
* You can import scala.math.Ordering.Implicits to gain access to other
* implicit orderings.
*
* @see [[scala.math.Ordered]], [[scala.util.Sorting]]
*/
@annotation.implicitNotFound(msg = "No implicit Ordering defined for ${T}.")
trait Ordering[T] extends Comparator[T] with PartialOrdering[T] with Serializable {
outer =>
/** Returns whether a comparison between `x` and `y` is defined, and if so
* the result of `compare(x, y)`.
*/
def tryCompare(x: T, y: T) = Some(compare(x, y))
/** Returns an integer whose sign communicates how x compares to y.
*
* The result sign has the following meaning:
*
* - negative if x < y
* - positive if x > y
* - zero otherwise (if x == y)
*/
def compare(x: T, y: T): Int
/** Return true if `x` <= `y` in the ordering. */
override def lteq(x: T, y: T): Boolean = compare(x, y) <= 0
/** Return true if `x` >= `y` in the ordering. */
override def gteq(x: T, y: T): Boolean = compare(x, y) >= 0
/** Return true if `x` < `y` in the ordering. */
override def lt(x: T, y: T): Boolean = compare(x, y) < 0
/** Return true if `x` > `y` in the ordering. */
override def gt(x: T, y: T): Boolean = compare(x, y) > 0
/** Return true if `x` == `y` in the ordering. */
override def equiv(x: T, y: T): Boolean = compare(x, y) == 0
/** Return `x` if `x` >= `y`, otherwise `y`. */
def max[U <: T](x: U, y: U): U = if (gteq(x, y)) x else y
/** Return `x` if `x` <= `y`, otherwise `y`. */
def min[U <: T](x: U, y: U): U = if (lteq(x, y)) x else y
/** Return the opposite ordering of this one.
*
* Implementations overriding this method MUST override [[isReverseOf]]
* as well if they change the behavior at all (for example, caching does
* not require overriding it).
*/
override def reverse: Ordering[T] = new Ordering.Reverse[T](this)
/** Returns whether or not the other ordering is the opposite
* ordering of this one.
*
* Equivalent to `other == this.reverse`.
*
* Implementations should only override this method if they are overriding
* [[reverse]] as well.
*/
def isReverseOf(other: Ordering[_]): Boolean = other match {
case that: Ordering.Reverse[_] => that.outer == this
case _ => false
}
/** Given f, a function from U into T, creates an Ordering[U] whose compare
* function is equivalent to:
*
* {{{
* def compare(x:U, y:U) = Ordering[T].compare(f(x), f(y))
* }}}
*/
def on[U](f: U => T): Ordering[U] = new Ordering[U] {
def compare(x: U, y: U) = outer.compare(f(x), f(y))
}
/** Creates an Ordering[T] whose compare function returns the
* result of this Ordering's compare function, if it is non-zero,
* or else the result of `other`s compare function.
*
* @example
* {{{
* case class Pair(a: Int, b: Int)
*
* val pairOrdering = Ordering.by[Pair, Int](_.a)
* .orElse(Ordering.by[Pair, Int](_.b))
* }}}
*
* @param other an Ordering to use if this Ordering returns zero
*/
def orElse(other: Ordering[T]): Ordering[T] = (x, y) => {
val res1 = outer.compare(x, y)
if (res1 != 0) res1 else other.compare(x, y)
}
/** Given f, a function from T into S, creates an Ordering[T] whose compare
* function returns the result of this Ordering's compare function,
* if it is non-zero, or else a result equivalent to:
*
* {{{
* Ordering[S].compare(f(x), f(y))
* }}}
*
* This function is equivalent to passing the result of `Ordering.by(f)`
* to `orElse`.
*
* @example
* {{{
* case class Pair(a: Int, b: Int)
*
* val pairOrdering = Ordering.by[Pair, Int](_.a)
* .orElseBy[Int](_.b)
* }}}
*/
def orElseBy[S](f: T => S)(implicit ord: Ordering[S]): Ordering[T] = (x, y) => {
val res1 = outer.compare(x, y)
if (res1 != 0) res1 else ord.compare(f(x), f(y))
}
/** This inner class defines comparison operators available for `T`. */
class OrderingOps(lhs: T) {
def <(rhs: T): Boolean = lt(lhs, rhs)
def <=(rhs: T): Boolean = lteq(lhs, rhs)
def >(rhs: T): Boolean = gt(lhs, rhs)
def >=(rhs: T): Boolean = gteq(lhs, rhs)
def equiv(rhs: T): Boolean = Ordering.this.equiv(lhs, rhs)
def max(rhs: T): T = Ordering.this.max(lhs, rhs)
def min(rhs: T): T = Ordering.this.min(lhs, rhs)
}
/** This implicit method augments `T` with the comparison operators defined
* in `scala.math.Ordering.Ops`.
*/
implicit def mkOrderingOps(lhs: T): OrderingOps = new OrderingOps(lhs)
}
trait LowPriorityOrderingImplicits {
type AsComparable[A] = A => Comparable[_ >: A]
/** This would conflict with all the nice implicit Orderings
* available, but thanks to the magic of prioritized implicits
* via subclassing we can make `Ordered[A] => Ordering[A]` only
* turn up if nothing else works. Since `Ordered[A]` extends
* `Comparable[A]` anyway, we can throw in some Java interop too.
*/
implicit def ordered[A](implicit asComparable: AsComparable[A]): Ordering[A] = new Ordering[A] {
def compare(x: A, y: A): Int = asComparable(x).compareTo(y)
}
implicit def comparatorToOrdering[A](implicit cmp: Comparator[A]): Ordering[A] = new Ordering[A] {
def compare(x: A, y: A) = cmp.compare(x, y)
}
}
/** This is the companion object for the [[scala.math.Ordering]] trait.
*
* It contains many implicit orderings as well as well as methods to construct
* new orderings.
*/
object Ordering extends LowPriorityOrderingImplicits {
private final val reverseSeed = 41
private final val optionSeed = 43
private final val iterableSeed = 47
@inline def apply[T](implicit ord: Ordering[T]) = ord
/** An ordering which caches the value of its reverse. */
sealed trait CachedReverse[T] extends Ordering[T] {
private[this] val _reverse = super.reverse
override final def reverse: Ordering[T] = _reverse
override final def isReverseOf(other: Ordering[_]): Boolean = other eq _reverse
}
/** A reverse ordering */
private final class Reverse[T](private[Ordering] val outer: Ordering[T]) extends Ordering[T] {
override def reverse: Ordering[T] = outer
override def isReverseOf(other: Ordering[_]): Boolean = other == outer
def compare(x: T, y: T): Int = outer.compare(y, x)
override def lteq(x: T, y: T): Boolean = outer.lteq(y, x)
override def gteq(x: T, y: T): Boolean = outer.gteq(y, x)
override def lt(x: T, y: T): Boolean = outer.lt(y, x)
override def gt(x: T, y: T): Boolean = outer.gt(y, x)
override def equiv(x: T, y: T): Boolean = outer.equiv(y, x)
override def max[U <: T](x: U, y: U): U = outer.min(x, y)
override def min[U <: T](x: U, y: U): U = outer.max(x, y)
override def equals(obj: scala.Any): Boolean = obj match {
case that: AnyRef if this eq that => true
case that: Reverse[T] => this.outer == that.outer
case _ => false
}
override def hashCode(): Int = outer.hashCode() * reverseSeed
}
private final class IterableOrdering[CC[X] <: Iterable[X], T](private val ord: Ordering[T]) extends Ordering[CC[T]] {
def compare(x: CC[T], y: CC[T]): Int = {
val xe = x.iterator
val ye = y.iterator
while (xe.hasNext && ye.hasNext) {
val res = ord.compare(xe.next(), ye.next())
if (res != 0) return res
}
Boolean.compare(xe.hasNext, ye.hasNext)
}
override def equals(obj: scala.Any): Boolean = obj match {
case that: AnyRef if this eq that => true
case that: IterableOrdering[CC, T] => this.ord == that.ord
case _ => false
}
override def hashCode(): Int = ord.hashCode() * iterableSeed
}
trait ExtraImplicits {
/** Not in the standard scope due to the potential for divergence:
* For instance `implicitly[Ordering[Any]]` diverges in its presence.
*/
implicit def seqOrdering[CC[X] <: scala.collection.Seq[X], T](implicit ord: Ordering[T]): Ordering[CC[T]] =
new IterableOrdering[CC, T](ord)
implicit def sortedSetOrdering[CC[X] <: scala.collection.SortedSet[X], T](implicit ord: Ordering[T]): Ordering[CC[T]] =
new IterableOrdering[CC, T](ord)
/** This implicit creates a conversion from any value for which an
* implicit `Ordering` exists to the class which creates infix operations.
* With it imported, you can write methods as follows:
*
* {{{
* def lessThan[T: Ordering](x: T, y: T) = x < y
* }}}
*/
implicit def infixOrderingOps[T](x: T)(implicit ord: Ordering[T]): Ordering[T]#OrderingOps = new ord.OrderingOps(x)
}
/** An object containing implicits which are not in the default scope. */
object Implicits extends ExtraImplicits { }
/** Construct an Ordering[T] given a function `lt`. */
def fromLessThan[T](cmp: (T, T) => Boolean): Ordering[T] = new Ordering[T] {
def compare(x: T, y: T) = if (cmp(x, y)) -1 else if (cmp(y, x)) 1 else 0
// overrides to avoid multiple comparisons
override def lt(x: T, y: T): Boolean = cmp(x, y)
override def gt(x: T, y: T): Boolean = cmp(y, x)
override def gteq(x: T, y: T): Boolean = !cmp(x, y)
override def lteq(x: T, y: T): Boolean = !cmp(y, x)
}
/** Given f, a function from T into S, creates an Ordering[T] whose compare
* function is equivalent to:
*
* {{{
* def compare(x:T, y:T) = Ordering[S].compare(f(x), f(y))
* }}}
*
* This function is an analogue to Ordering.on where the Ordering[S]
* parameter is passed implicitly.
*/
def by[T, S](f: T => S)(implicit ord: Ordering[S]): Ordering[T] = new Ordering[T] {
def compare(x: T, y: T) = ord.compare(f(x), f(y))
override def lt(x: T, y: T): Boolean = ord.lt(f(x), f(y))
override def gt(x: T, y: T): Boolean = ord.gt(f(x), f(y))
override def gteq(x: T, y: T): Boolean = ord.gteq(f(x), f(y))
override def lteq(x: T, y: T): Boolean = ord.lteq(f(x), f(y))
}
trait UnitOrdering extends Ordering[Unit] {
def compare(x: Unit, y: Unit) = 0
}
implicit object Unit extends UnitOrdering
trait BooleanOrdering extends Ordering[Boolean] {
def compare(x: Boolean, y: Boolean): Int = java.lang.Boolean.compare(x, y)
}
implicit object Boolean extends BooleanOrdering
trait ByteOrdering extends Ordering[Byte] {
def compare(x: Byte, y: Byte): Int = java.lang.Byte.compare(x, y)
}
implicit object Byte extends ByteOrdering
trait CharOrdering extends Ordering[Char] {
def compare(x: Char, y: Char): Int = java.lang.Character.compare(x, y)
}
implicit object Char extends CharOrdering
trait ShortOrdering extends Ordering[Short] {
def compare(x: Short, y: Short): Int = java.lang.Short.compare(x, y)
}
implicit object Short extends ShortOrdering
trait IntOrdering extends Ordering[Int] {
def compare(x: Int, y: Int): Int = java.lang.Integer.compare(x, y)
}
implicit object Int extends IntOrdering with CachedReverse[Int]
trait LongOrdering extends Ordering[Long] {
def compare(x: Long, y: Long): Int = java.lang.Long.compare(x, y)
}
implicit object Long extends LongOrdering
/** `Ordering`s for `Float`s.
*
* The behavior of the comparison operations provided by the default (implicit)
* ordering on `Float` changed in 2.10.0 and 2.13.0.
* Prior to Scala 2.10.0, the `Ordering` instance used semantics
* consistent with `java.lang.Float.compare`.
*
* Scala 2.10.0 changed the implementation of `lt`, `equiv`, `min`, etc., to be
* IEEE 754 compliant, while keeping the `compare` method NOT compliant,
* creating an internally inconsistent instance. IEEE 754 specifies that
* `0.0F == -0.0F`. In addition, it requires all comparisons with `Float.NaN` return
* `false` thus `0.0F < Float.NaN`, `0.0F > Float.NaN`, and
* `Float.NaN == Float.NaN` all yield `false`, analogous `None` in `flatMap`.
*
* Recognizing the limitation of the IEEE 754 semantics in terms of ordering,
* Scala 2.13.0 created two instances: `Ordering.Float.IeeeOrdering`, which retains
* the IEEE 754 semantics from Scala 2.12.x, and `Ordering.Float.TotalOrdering`,
* which brings back the `java.lang.Float.compare` semantics for all operations.
* The default extends `TotalOrdering`.
*
* {{{
* List(0.0F, 1.0F, 0.0F / 0.0F, -1.0F / 0.0F).sorted // List(-Infinity, 0.0, 1.0, NaN)
* List(0.0F, 1.0F, 0.0F / 0.0F, -1.0F / 0.0F).min // -Infinity
* implicitly[Ordering[Float]].lt(0.0F, 0.0F / 0.0F) // true
* {
* import Ordering.Float.IeeeOrdering
* List(0.0F, 1.0F, 0.0F / 0.0F, -1.0F / 0.0F).sorted // List(-Infinity, 0.0, 1.0, NaN)
* List(0.0F, 1.0F, 0.0F / 0.0F, -1.0F / 0.0F).min // NaN
* implicitly[Ordering[Float]].lt(0.0F, 0.0F / 0.0F) // false
* }
* }}}
*
* @define floatOrdering Because the behavior of `Float`s specified by IEEE is
* not consistent with a total ordering when dealing with
* `NaN`, there are two orderings defined for `Float`:
* `TotalOrdering`, which is consistent with a total
* ordering, and `IeeeOrdering`, which is consistent
* as much as possible with IEEE spec and floating point
* operations defined in [[scala.math]].
*/
object Float {
/** An ordering for `Float`s which is a fully consistent total ordering,
* and treats `NaN` as larger than all other `Float` values; it behaves
* the same as [[java.lang.Float.compare]].
*
* $floatOrdering
*
* This ordering may be preferable for sorting collections.
*
* @see [[IeeeOrdering]]
*/
trait TotalOrdering extends Ordering[Float] {
def compare(x: Float, y: Float) = java.lang.Float.compare(x, y)
}
implicit object TotalOrdering extends TotalOrdering
/** An ordering for `Float`s which is consistent with IEEE specifications
* whenever possible.
*
* - `lt`, `lteq`, `equiv`, `gteq` and `gt` are consistent with primitive
* comparison operations for `Float`s, and return `false` when called with
* `NaN`.
* - `min` and `max` are consistent with `math.min` and `math.max`, and
* return `NaN` when called with `NaN` as either argument.
* - `compare` behaves the same as [[java.lang.Float.compare]].
*
* $floatOrdering
*
* This ordering may be preferable for numeric contexts.
*
* @see [[TotalOrdering]]
*/
trait IeeeOrdering extends Ordering[Float] {
def compare(x: Float, y: Float) = java.lang.Float.compare(x, y)
override def lteq(x: Float, y: Float): Boolean = x <= y
override def gteq(x: Float, y: Float): Boolean = x >= y
override def lt(x: Float, y: Float): Boolean = x < y
override def gt(x: Float, y: Float): Boolean = x > y
override def equiv(x: Float, y: Float): Boolean = x == y
override def max[U <: Float](x: U, y: U): U = math.max(x, y).asInstanceOf[U]
override def min[U <: Float](x: U, y: U): U = math.min(x, y).asInstanceOf[U]
}
implicit object IeeeOrdering extends IeeeOrdering
}
@migration(
" The default implicit ordering for floats now maintains consistency\n" +
" between its `compare` method and its `lt`, `min`, `equiv`, etc., methods,\n" +
" which means nonconforming to IEEE 754's behavior for -0.0F and NaN.\n" +
" The sort order of floats remains the same, however, with NaN at the end.\n" +
" Import Ordering.Float.IeeeOrdering to recover the previous behavior.\n" +
" See also https://www.scala-lang.org/api/current/scala/math/Ordering$$Float$.html.", "2.13.0")
implicit object DeprecatedFloatOrdering extends Float.TotalOrdering
/** `Ordering`s for `Double`s.
*
* The behavior of the comparison operations provided by the default (implicit)
* ordering on `Double` changed in 2.10.0 and 2.13.0.
* Prior to Scala 2.10.0, the `Ordering` instance used semantics
* consistent with `java.lang.Double.compare`.
*
* Scala 2.10.0 changed the implementation of `lt`, `equiv`, `min`, etc., to be
* IEEE 754 compliant, while keeping the `compare` method NOT compliant,
* creating an internally inconsistent instance. IEEE 754 specifies that
* `0.0 == -0.0`. In addition, it requires all comparisons with `Double.NaN` return
* `false` thus `0.0 < Double.NaN`, `0.0 > Double.NaN`, and
* `Double.NaN == Double.NaN` all yield `false`, analogous `None` in `flatMap`.
*
* Recognizing the limitation of the IEEE 754 semantics in terms of ordering,
* Scala 2.13.0 created two instances: `Ordering.Double.IeeeOrdering`, which retains
* the IEEE 754 semantics from Scala 2.12.x, and `Ordering.Double.TotalOrdering`,
* which brings back the `java.lang.Double.compare` semantics for all operations.
* The default extends `TotalOrdering`.
*
* {{{
* List(0.0, 1.0, 0.0 / 0.0, -1.0 / 0.0).sorted // List(-Infinity, 0.0, 1.0, NaN)
* List(0.0, 1.0, 0.0 / 0.0, -1.0 / 0.0).min // -Infinity
* implicitly[Ordering[Double]].lt(0.0, 0.0 / 0.0) // true
* {
* import Ordering.Double.IeeeOrdering
* List(0.0, 1.0, 0.0 / 0.0, -1.0 / 0.0).sorted // List(-Infinity, 0.0, 1.0, NaN)
* List(0.0, 1.0, 0.0 / 0.0, -1.0 / 0.0).min // NaN
* implicitly[Ordering[Double]].lt(0.0, 0.0 / 0.0) // false
* }
* }}}
*
* @define doubleOrdering Because the behavior of `Double`s specified by IEEE is
* not consistent with a total ordering when dealing with
* `NaN`, there are two orderings defined for `Double`:
* `TotalOrdering`, which is consistent with a total
* ordering, and `IeeeOrdering`, which is consistent
* as much as possible with IEEE spec and floating point
* operations defined in [[scala.math]].
*/
object Double {
/** An ordering for `Double`s which is a fully consistent total ordering,
* and treats `NaN` as larger than all other `Double` values; it behaves
* the same as [[java.lang.Double.compare]].
*
* $doubleOrdering
*
* This ordering may be preferable for sorting collections.
*
* @see [[IeeeOrdering]]
*/
trait TotalOrdering extends Ordering[Double] {
def compare(x: Double, y: Double) = java.lang.Double.compare(x, y)
}
implicit object TotalOrdering extends TotalOrdering
/** An ordering for `Double`s which is consistent with IEEE specifications
* whenever possible.
*
* - `lt`, `lteq`, `equiv`, `gteq` and `gt` are consistent with primitive
* comparison operations for `Double`s, and return `false` when called with
* `NaN`.
* - `min` and `max` are consistent with `math.min` and `math.max`, and
* return `NaN` when called with `NaN` as either argument.
* - `compare` behaves the same as [[java.lang.Double.compare]].
*
* $doubleOrdering
*
* This ordering may be preferable for numeric contexts.
*
* @see [[TotalOrdering]]
*/
trait IeeeOrdering extends Ordering[Double] {
def compare(x: Double, y: Double) = java.lang.Double.compare(x, y)
override def lteq(x: Double, y: Double): Boolean = x <= y
override def gteq(x: Double, y: Double): Boolean = x >= y
override def lt(x: Double, y: Double): Boolean = x < y
override def gt(x: Double, y: Double): Boolean = x > y
override def equiv(x: Double, y: Double): Boolean = x == y
override def max[U <: Double](x: U, y: U): U = math.max(x, y).asInstanceOf[U]
override def min[U <: Double](x: U, y: U): U = math.min(x, y).asInstanceOf[U]
}
implicit object IeeeOrdering extends IeeeOrdering
}
@migration(
" The default implicit ordering for doubles now maintains consistency\n" +
" between its `compare` method and its `lt`, `min`, `equiv`, etc., methods,\n" +
" which means nonconforming to IEEE 754's behavior for -0.0 and NaN.\n" +
" The sort order of doubles remains the same, however, with NaN at the end.\n" +
" Import Ordering.Double.IeeeOrdering to recover the previous behavior.\n" +
" See also https://www.scala-lang.org/api/current/scala/math/Ordering$$Double$.html.", "2.13.0")
implicit object DeprecatedDoubleOrdering extends Double.TotalOrdering
trait BigIntOrdering extends Ordering[BigInt] {
def compare(x: BigInt, y: BigInt) = x.compare(y)
}
implicit object BigInt extends BigIntOrdering
trait BigDecimalOrdering extends Ordering[BigDecimal] {
def compare(x: BigDecimal, y: BigDecimal) = x.compare(y)
}
implicit object BigDecimal extends BigDecimalOrdering
trait StringOrdering extends Ordering[String] {
def compare(x: String, y: String) = x.compareTo(y)
}
implicit object String extends StringOrdering
trait SymbolOrdering extends Ordering[Symbol] {
def compare(x: Symbol, y: Symbol): Int = x.name.compareTo(y.name)
}
implicit object Symbol extends SymbolOrdering
trait OptionOrdering[T] extends Ordering[Option[T]] {
def optionOrdering: Ordering[T]
def compare(x: Option[T], y: Option[T]) = (x, y) match {
case (None, None) => 0
case (None, _) => -1
case (_, None) => 1
case (Some(x), Some(y)) => optionOrdering.compare(x, y)
}
override def equals(obj: scala.Any): Boolean = obj match {
case that: AnyRef if this eq that => true
case that: OptionOrdering[T] => this.optionOrdering == that.optionOrdering
case _ => false
}
override def hashCode(): Int = optionOrdering.hashCode() * optionSeed
}
implicit def Option[T](implicit ord: Ordering[T]): Ordering[Option[T]] =
new OptionOrdering[T] { val optionOrdering = ord }
/** @deprecated Iterables are not guaranteed to have a consistent order, so the `Ordering`
* returned by this method may not be stable or meaningful. If you are using a type
* with a consistent order (such as `Seq`), use its `Ordering` (found in the
* [[Implicits]] object) instead.
*/
@deprecated("Iterables are not guaranteed to have a consistent order; if using a type with a " +
"consistent order (e.g. Seq), use its Ordering (found in the Ordering.Implicits object)", since = "2.13.0")
implicit def Iterable[T](implicit ord: Ordering[T]): Ordering[Iterable[T]] =
new IterableOrdering[Iterable, T](ord)
implicit def Tuple2[T1, T2](implicit ord1: Ordering[T1], ord2: Ordering[T2]): Ordering[(T1, T2)] =
new Tuple2Ordering(ord1, ord2)
private[this] final class Tuple2Ordering[T1, T2](private val ord1: Ordering[T1],
private val ord2: Ordering[T2]) extends Ordering[(T1, T2)] {
def compare(x: (T1, T2), y: (T1, T2)): Int = {
val compare1 = ord1.compare(x._1, y._1)
if (compare1 != 0) return compare1
ord2.compare(x._2, y._2)
}
override def equals(obj: scala.Any): Boolean = obj match {
case that: AnyRef if this eq that => true
case that: Tuple2Ordering[T1, T2] =>
this.ord1 == that.ord1 &&
this.ord2 == that.ord2
case _ => false
}
override def hashCode(): Int = (ord1, ord2).hashCode()
}
implicit def Tuple3[T1, T2, T3](implicit ord1: Ordering[T1], ord2: Ordering[T2], ord3: Ordering[T3]) : Ordering[(T1, T2, T3)] =
new Tuple3Ordering(ord1, ord2, ord3)
private[this] final class Tuple3Ordering[T1, T2, T3](private val ord1: Ordering[T1],
private val ord2: Ordering[T2],
private val ord3: Ordering[T3]) extends Ordering[(T1, T2, T3)] {
def compare(x: (T1, T2, T3), y: (T1, T2, T3)): Int = {
val compare1 = ord1.compare(x._1, y._1)
if (compare1 != 0) return compare1
val compare2 = ord2.compare(x._2, y._2)
if (compare2 != 0) return compare2
ord3.compare(x._3, y._3)
}
override def equals(obj: scala.Any): Boolean = obj match {
case that: AnyRef if this eq that => true
case that: Tuple3Ordering[T1, T2, T3] =>
this.ord1 == that.ord1 &&
this.ord2 == that.ord2 &&
this.ord3 == that.ord3
case _ => false
}
override def hashCode(): Int = (ord1, ord2, ord3).hashCode()
}
implicit def Tuple4[T1, T2, T3, T4](implicit ord1: Ordering[T1], ord2: Ordering[T2], ord3: Ordering[T3], ord4: Ordering[T4]) : Ordering[(T1, T2, T3, T4)] =
new Tuple4Ordering(ord1, ord2, ord3, ord4)
private[this] final class Tuple4Ordering[T1, T2, T3, T4](private val ord1: Ordering[T1],
private val ord2: Ordering[T2],
private val ord3: Ordering[T3],
private val ord4: Ordering[T4])
extends Ordering[(T1, T2, T3, T4)] {
def compare(x: (T1, T2, T3, T4), y: (T1, T2, T3, T4)): Int = {
val compare1 = ord1.compare(x._1, y._1)
if (compare1 != 0) return compare1
val compare2 = ord2.compare(x._2, y._2)
if (compare2 != 0) return compare2
val compare3 = ord3.compare(x._3, y._3)
if (compare3 != 0) return compare3
ord4.compare(x._4, y._4)
}
override def equals(obj: scala.Any): Boolean = obj match {
case that: AnyRef if this eq that => true
case that: Tuple4Ordering[T1, T2, T3, T4] =>
this.ord1 == that.ord1 &&
this.ord2 == that.ord2 &&
this.ord3 == that.ord3 &&
this.ord4 == that.ord4
case _ => false
}
override def hashCode(): Int = (ord1, ord2, ord3, ord4).hashCode()
}
implicit def Tuple5[T1, T2, T3, T4, T5](implicit ord1: Ordering[T1], ord2: Ordering[T2], ord3: Ordering[T3], ord4: Ordering[T4], ord5: Ordering[T5]): Ordering[(T1, T2, T3, T4, T5)] =
new Tuple5Ordering(ord1, ord2, ord3, ord4, ord5)
private[this] final class Tuple5Ordering[T1, T2, T3, T4, T5](private val ord1: Ordering[T1],
private val ord2: Ordering[T2],
private val ord3: Ordering[T3],
private val ord4: Ordering[T4],
private val ord5: Ordering[T5])
extends Ordering[(T1, T2, T3, T4, T5)] {
def compare(x: (T1, T2, T3, T4, T5), y: (T1, T2, T3, T4, T5)): Int = {
val compare1 = ord1.compare(x._1, y._1)
if (compare1 != 0) return compare1
val compare2 = ord2.compare(x._2, y._2)
if (compare2 != 0) return compare2
val compare3 = ord3.compare(x._3, y._3)
if (compare3 != 0) return compare3
val compare4 = ord4.compare(x._4, y._4)
if (compare4 != 0) return compare4
ord5.compare(x._5, y._5)
}
override def equals(obj: scala.Any): Boolean = obj match {
case that: AnyRef if this eq that => true
case that: Tuple5Ordering[T1, T2, T3, T4, T5] =>
this.ord1 == that.ord1 &&
this.ord2 == that.ord2 &&
this.ord3 == that.ord3 &&
this.ord4 == that.ord4 &&
this.ord5 == that.ord5
case _ => false
}
override def hashCode(): Int = (ord1, ord2, ord3, ord4, ord5).hashCode()
}
implicit def Tuple6[T1, T2, T3, T4, T5, T6](implicit ord1: Ordering[T1], ord2: Ordering[T2], ord3: Ordering[T3], ord4: Ordering[T4], ord5: Ordering[T5], ord6: Ordering[T6]): Ordering[(T1, T2, T3, T4, T5, T6)] =
new Tuple6Ordering(ord1, ord2, ord3, ord4, ord5, ord6)
private[this] final class Tuple6Ordering[T1, T2, T3, T4, T5, T6](private val ord1: Ordering[T1],
private val ord2: Ordering[T2],
private val ord3: Ordering[T3],
private val ord4: Ordering[T4],
private val ord5: Ordering[T5],
private val ord6: Ordering[T6])
extends Ordering[(T1, T2, T3, T4, T5, T6)] {
def compare(x: (T1, T2, T3, T4, T5, T6), y: (T1, T2, T3, T4, T5, T6)): Int = {
val compare1 = ord1.compare(x._1, y._1)
if (compare1 != 0) return compare1
val compare2 = ord2.compare(x._2, y._2)
if (compare2 != 0) return compare2
val compare3 = ord3.compare(x._3, y._3)
if (compare3 != 0) return compare3
val compare4 = ord4.compare(x._4, y._4)
if (compare4 != 0) return compare4
val compare5 = ord5.compare(x._5, y._5)
if (compare5 != 0) return compare5
ord6.compare(x._6, y._6)
}
override def equals(obj: scala.Any): Boolean = obj match {
case that: AnyRef if this eq that => true
case that: Tuple6Ordering[T1, T2, T3, T4, T5, T6] =>
this.ord1 == that.ord1 &&
this.ord2 == that.ord2 &&
this.ord3 == that.ord3 &&
this.ord4 == that.ord4 &&
this.ord5 == that.ord5 &&
this.ord6 == that.ord6
case _ => false
}
override def hashCode(): Int = (ord1, ord2, ord3, ord4, ord5, ord6).hashCode()
}
implicit def Tuple7[T1, T2, T3, T4, T5, T6, T7](implicit ord1: Ordering[T1], ord2: Ordering[T2], ord3: Ordering[T3], ord4: Ordering[T4], ord5: Ordering[T5], ord6: Ordering[T6], ord7: Ordering[T7]): Ordering[(T1, T2, T3, T4, T5, T6, T7)] =
new Tuple7Ordering(ord1, ord2, ord3, ord4, ord5, ord6, ord7)
private[this] final class Tuple7Ordering[T1, T2, T3, T4, T5, T6, T7](private val ord1: Ordering[T1],
private val ord2: Ordering[T2],
private val ord3: Ordering[T3],
private val ord4: Ordering[T4],
private val ord5: Ordering[T5],
private val ord6: Ordering[T6],
private val ord7: Ordering[T7])
extends Ordering[(T1, T2, T3, T4, T5, T6, T7)] {
def compare(x: (T1, T2, T3, T4, T5, T6, T7), y: (T1, T2, T3, T4, T5, T6, T7)): Int = {
val compare1 = ord1.compare(x._1, y._1)
if (compare1 != 0) return compare1
val compare2 = ord2.compare(x._2, y._2)
if (compare2 != 0) return compare2
val compare3 = ord3.compare(x._3, y._3)
if (compare3 != 0) return compare3
val compare4 = ord4.compare(x._4, y._4)
if (compare4 != 0) return compare4
val compare5 = ord5.compare(x._5, y._5)
if (compare5 != 0) return compare5
val compare6 = ord6.compare(x._6, y._6)
if (compare6 != 0) return compare6
ord7.compare(x._7, y._7)
}
override def equals(obj: scala.Any): Boolean = obj match {
case that: AnyRef if this eq that => true
case that: Tuple7Ordering[T1, T2, T3, T4, T5, T6, T7] =>
this.ord1 == that.ord1 &&
this.ord2 == that.ord2 &&
this.ord3 == that.ord3 &&
this.ord4 == that.ord4 &&
this.ord5 == that.ord5 &&
this.ord6 == that.ord6 &&
this.ord7 == that.ord7
case _ => false
}
override def hashCode(): Int = (ord1, ord2, ord3, ord4, ord5, ord6, ord7).hashCode()
}
implicit def Tuple8[T1, T2, T3, T4, T5, T6, T7, T8](implicit ord1: Ordering[T1], ord2: Ordering[T2], ord3: Ordering[T3], ord4: Ordering[T4], ord5: Ordering[T5], ord6: Ordering[T6], ord7: Ordering[T7], ord8: Ordering[T8]): Ordering[(T1, T2, T3, T4, T5, T6, T7, T8)] =
new Tuple8Ordering(ord1, ord2, ord3, ord4, ord5, ord6, ord7, ord8)
private[this] final class Tuple8Ordering[T1, T2, T3, T4, T5, T6, T7, T8](private val ord1: Ordering[T1],
private val ord2: Ordering[T2],
private val ord3: Ordering[T3],
private val ord4: Ordering[T4],
private val ord5: Ordering[T5],
private val ord6: Ordering[T6],
private val ord7: Ordering[T7],
private val ord8: Ordering[T8])
extends Ordering[(T1, T2, T3, T4, T5, T6, T7, T8)] {
def compare(x: (T1, T2, T3, T4, T5, T6, T7, T8), y: (T1, T2, T3, T4, T5, T6, T7, T8)): Int = {
val compare1 = ord1.compare(x._1, y._1)
if (compare1 != 0) return compare1
val compare2 = ord2.compare(x._2, y._2)
if (compare2 != 0) return compare2
val compare3 = ord3.compare(x._3, y._3)
if (compare3 != 0) return compare3
val compare4 = ord4.compare(x._4, y._4)
if (compare4 != 0) return compare4
val compare5 = ord5.compare(x._5, y._5)
if (compare5 != 0) return compare5
val compare6 = ord6.compare(x._6, y._6)
if (compare6 != 0) return compare6
val compare7 = ord7.compare(x._7, y._7)
if (compare7 != 0) return compare7
ord8.compare(x._8, y._8)
}
override def equals(obj: scala.Any): Boolean = obj match {
case that: AnyRef if this eq that => true
case that: Tuple8Ordering[T1, T2, T3, T4, T5, T6, T7, T8] =>
this.ord1 == that.ord1 &&
this.ord2 == that.ord2 &&
this.ord3 == that.ord3 &&
this.ord4 == that.ord4 &&
this.ord5 == that.ord5 &&
this.ord6 == that.ord6 &&
this.ord7 == that.ord7 &&
this.ord8 == that.ord8
case _ => false
}
override def hashCode(): Int = (ord1, ord2, ord3, ord4, ord5, ord6, ord7, ord8).hashCode()
}
implicit def Tuple9[T1, T2, T3, T4, T5, T6, T7, T8, T9](implicit ord1: Ordering[T1], ord2: Ordering[T2], ord3: Ordering[T3], ord4: Ordering[T4], ord5: Ordering[T5], ord6: Ordering[T6], ord7: Ordering[T7], ord8 : Ordering[T8], ord9: Ordering[T9]): Ordering[(T1, T2, T3, T4, T5, T6, T7, T8, T9)] =
new Tuple9Ordering(ord1, ord2, ord3, ord4, ord5, ord6, ord7, ord8, ord9)
private[this] final class Tuple9Ordering[T1, T2, T3, T4, T5, T6, T7, T8, T9](private val ord1: Ordering[T1],
private val ord2: Ordering[T2],
private val ord3: Ordering[T3],
private val ord4: Ordering[T4],
private val ord5: Ordering[T5],
private val ord6: Ordering[T6],
private val ord7: Ordering[T7],
private val ord8: Ordering[T8],
private val ord9: Ordering[T9])
extends Ordering[(T1, T2, T3, T4, T5, T6, T7, T8, T9)] {
def compare(x: (T1, T2, T3, T4, T5, T6, T7, T8, T9), y: (T1, T2, T3, T4, T5, T6, T7, T8, T9)): Int = {
val compare1 = ord1.compare(x._1, y._1)
if (compare1 != 0) return compare1
val compare2 = ord2.compare(x._2, y._2)
if (compare2 != 0) return compare2
val compare3 = ord3.compare(x._3, y._3)
if (compare3 != 0) return compare3
val compare4 = ord4.compare(x._4, y._4)
if (compare4 != 0) return compare4
val compare5 = ord5.compare(x._5, y._5)
if (compare5 != 0) return compare5
val compare6 = ord6.compare(x._6, y._6)
if (compare6 != 0) return compare6
val compare7 = ord7.compare(x._7, y._7)
if (compare7 != 0) return compare7
val compare8 = ord8.compare(x._8, y._8)
if (compare8 != 0) return compare8
ord9.compare(x._9, y._9)
}
override def equals(obj: scala.Any): Boolean = obj match {
case that: AnyRef if this eq that => true
case that: Tuple9Ordering[T1, T2, T3, T4, T5, T6, T7, T8, T9] =>
this.ord1 == that.ord1 &&
this.ord2 == that.ord2 &&
this.ord3 == that.ord3 &&
this.ord4 == that.ord4 &&
this.ord5 == that.ord5 &&
this.ord6 == that.ord6 &&
this.ord7 == that.ord7 &&
this.ord8 == that.ord8 &&
this.ord9 == that.ord9
case _ => false
}
override def hashCode(): Int = (ord1, ord2, ord3, ord4, ord5, ord6, ord7, ord8, ord9).hashCode()
}
}
