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+/* __ *\
+** ________ ___ / / ___ Scala API **
+** / __/ __// _ | / / / _ | (c) 2006-2013, LAMP/EPFL **
+** __\ \/ /__/ __ |/ /__/ __ | http://scala-lang.org/ **
+** /____/\___/_/ |_/____/_/ | | **
+** |/ **
+\* */
+
+
+package scala.collection
+package immutable
+
+import mutable.{ Builder, ListBuffer }
+import generic._
+
+/** `NumericRange` is a more generic version of the
+ * `Range` class which works with arbitrary types.
+ * It must be supplied with an `Integral` implementation of the
+ * range type.
+ *
+ * Factories for likely types include `Range.BigInt`, `Range.Long`,
+ * and `Range.BigDecimal`. `Range.Int` exists for completeness, but
+ * the `Int`-based `scala.Range` should be more performant.
+ *
+ * {{{
+ * val r1 = new Range(0, 100, 1)
+ * val veryBig = Int.MaxValue.toLong + 1
+ * val r2 = Range.Long(veryBig, veryBig + 100, 1)
+ * assert(r1 sameElements r2.map(_ - veryBig))
+ * }}}
+ *
+ * TODO: Now the specialization exists there is no clear reason to have
+ * separate classes for Range/NumericRange. Investigate and consolidate.
+ *
+ * @author Paul Phillips
+ * @version 2.8
+ * @define Coll `NumericRange`
+ * @define coll numeric range
+ * @define mayNotTerminateInf
+ * @define willNotTerminateInf
+ */
+abstract class NumericRange[T]
+ (val start: T, val end: T, val step: T, val isInclusive: Boolean)
+ (implicit num: Integral[T])
+extends AbstractSeq[T] with IndexedSeq[T] with Serializable {
+ /** Note that NumericRange must be invariant so that constructs
+ * such as "1L to 10 by 5" do not infer the range type as AnyVal.
+ */
+ import num._
+
+ // See comment in Range for why this must be lazy.
+ private lazy val numRangeElements: Int =
+ NumericRange.count(start, end, step, isInclusive)
+
+ override def length = numRangeElements
+ override def isEmpty = length == 0
+ override lazy val last: T =
+ if (length == 0) Nil.last
+ else locationAfterN(length - 1)
+
+ /** Create a new range with the start and end values of this range and
+ * a new `step`.
+ */
+ def by(newStep: T): NumericRange[T] = copy(start, end, newStep)
+
+ /** Create a copy of this range.
+ */
+ def copy(start: T, end: T, step: T): NumericRange[T]
+
+ override def foreach[U](f: T => U) {
+ var count = 0
+ var current = start
+ while (count < length) {
+ f(current)
+ current += step
+ count += 1
+ }
+ }
+
+ // TODO: these private methods are straight copies from Range, duplicated
+ // to guard against any (most likely illusory) performance drop. They should
+ // be eliminated one way or another.
+
+ // Counts how many elements from the start meet the given test.
+ private def skipCount(p: T => Boolean): Int = {
+ var current = start
+ var counted = 0
+
+ while (counted < length && p(current)) {
+ counted += 1
+ current += step
+ }
+ counted
+ }
+ // Tests whether a number is within the endpoints, without testing
+ // whether it is a member of the sequence (i.e. when step > 1.)
+ private def isWithinBoundaries(elem: T) = !isEmpty && (
+ (step > zero && start <= elem && elem <= last ) ||
+ (step < zero && last <= elem && elem <= start)
+ )
+ // Methods like apply throw exceptions on invalid n, but methods like take/drop
+ // are forgiving: therefore the checks are with the methods.
+ private def locationAfterN(n: Int): T = start + (step * fromInt(n))
+
+ // When one drops everything. Can't ever have unchecked operations
+ // like "end + 1" or "end - 1" because ranges involving Int.{ MinValue, MaxValue }
+ // will overflow. This creates an exclusive range where start == end
+ // based on the given value.
+ private def newEmptyRange(value: T) = NumericRange(value, value, step)
+
+ final override def take(n: Int): NumericRange[T] = (
+ if (n <= 0 || length == 0) newEmptyRange(start)
+ else if (n >= length) this
+ else new NumericRange.Inclusive(start, locationAfterN(n - 1), step)
+ )
+
+ final override def drop(n: Int): NumericRange[T] = (
+ if (n <= 0 || length == 0) this
+ else if (n >= length) newEmptyRange(end)
+ else copy(locationAfterN(n), end, step)
+ )
+
+ def apply(idx: Int): T = {
+ if (idx < 0 || idx >= length) throw new IndexOutOfBoundsException(idx.toString)
+ else locationAfterN(idx)
+ }
+
+ import NumericRange.defaultOrdering
+
+ override def min[T1 >: T](implicit ord: Ordering[T1]): T =
+ if (ord eq defaultOrdering(num)) {
+ if (num.signum(step) > 0) start
+ else last
+ } else super.min(ord)
+
+ override def max[T1 >: T](implicit ord: Ordering[T1]): T =
+ if (ord eq defaultOrdering(num)) {
+ if (num.signum(step) > 0) last
+ else start
+ } else super.max(ord)
+
+ // Motivated by the desire for Double ranges with BigDecimal precision,
+ // we need some way to map a Range and get another Range. This can't be
+ // done in any fully general way because Ranges are not arbitrary
+ // sequences but step-valued, so we have a custom method only we can call
+ // which we promise to use responsibly.
+ //
+ // The point of it all is that
+ //
+ // 0.0 to 1.0 by 0.1
+ //
+ // should result in
+ //
+ // NumericRange[Double](0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0)
+ //
+ // and not
+ //
+ // NumericRange[Double](0.0, 0.1, 0.2, 0.30000000000000004, 0.4, 0.5, 0.6000000000000001, 0.7000000000000001, 0.8, 0.9)
+ //
+ // or perhaps more importantly,
+ //
+ // (0.1 to 0.3 by 0.1 contains 0.3) == true
+ //
+ private[immutable] def mapRange[A](fm: T => A)(implicit unum: Integral[A]): NumericRange[A] = {
+ val self = this
+
+ // XXX This may be incomplete.
+ new NumericRange[A](fm(start), fm(end), fm(step), isInclusive) {
+ def copy(start: A, end: A, step: A): NumericRange[A] =
+ if (isInclusive) NumericRange.inclusive(start, end, step)
+ else NumericRange(start, end, step)
+
+ private lazy val underlyingRange: NumericRange[T] = self
+ override def foreach[U](f: A => U) { underlyingRange foreach (x => f(fm(x))) }
+ override def isEmpty = underlyingRange.isEmpty
+ override def apply(idx: Int): A = fm(underlyingRange(idx))
+ override def containsTyped(el: A) = underlyingRange exists (x => fm(x) == el)
+ }
+ }
+
+ // a well-typed contains method.
+ def containsTyped(x: T): Boolean =
+ isWithinBoundaries(x) && (((x - start) % step) == zero)
+
+ override def contains(x: Any): Boolean =
+ try containsTyped(x.asInstanceOf[T])
+ catch { case _: ClassCastException => false }
+
+ final override def sum[B >: T](implicit num: Numeric[B]): B = {
+ import num.Ops
+ if (isEmpty) this.num fromInt 0
+ else if (numRangeElements == 1) head
+ else ((this.num fromInt numRangeElements) * (head + last) / (this.num fromInt 2))
+ }
+
+ override lazy val hashCode = super.hashCode()
+ override def equals(other: Any) = other match {
+ case x: NumericRange[_] =>
+ (x canEqual this) && (length == x.length) && (
+ (length == 0) || // all empty sequences are equal
+ (start == x.start && last == x.last) // same length and same endpoints implies equality
+ )
+ case _ =>
+ super.equals(other)
+ }
+
+ override def toString() = {
+ val endStr = if (length > Range.MAX_PRINT) ", ... )" else ")"
+ take(Range.MAX_PRINT).mkString("NumericRange(", ", ", endStr)
+ }
+}
+
+/** A companion object for numeric ranges.
+ */
+object NumericRange {
+
+ /** Calculates the number of elements in a range given start, end, step, and
+ * whether or not it is inclusive. Throws an exception if step == 0 or
+ * the number of elements exceeds the maximum Int.
+ */
+ def count[T](start: T, end: T, step: T, isInclusive: Boolean)(implicit num: Integral[T]): Int = {
+ val zero = num.zero
+ val upward = num.lt(start, end)
+ val posStep = num.gt(step, zero)
+
+ if (step == zero) throw new IllegalArgumentException("step cannot be 0.")
+ else if (start == end) if (isInclusive) 1 else 0
+ else if (upward != posStep) 0
+ else {
+ val diff = num.minus(end, start)
+ val jumps = num.toLong(num.quot(diff, step))
+ val remainder = num.rem(diff, step)
+ val longCount = jumps + (
+ if (!isInclusive && zero == remainder) 0 else 1
+ )
+
+ /** The edge cases keep coming. Since e.g.
+ * Long.MaxValue + 1 == Long.MinValue
+ * we do some more improbable seeming checks lest
+ * overflow turn up as an empty range.
+ */
+ // The second condition contradicts an empty result.
+ val isOverflow = longCount == 0 && num.lt(num.plus(start, step), end) == upward
+
+ if (longCount > scala.Int.MaxValue || longCount < 0L || isOverflow) {
+ val word = if (isInclusive) "to" else "until"
+ val descr = List(start, word, end, "by", step) mkString " "
+
+ throw new IllegalArgumentException(descr + ": seqs cannot contain more than Int.MaxValue elements.")
+ }
+ longCount.toInt
+ }
+ }
+
+ class Inclusive[T](start: T, end: T, step: T)(implicit num: Integral[T])
+ extends NumericRange(start, end, step, true) {
+ def copy(start: T, end: T, step: T): Inclusive[T] =
+ NumericRange.inclusive(start, end, step)
+
+ def exclusive: Exclusive[T] = NumericRange(start, end, step)
+ }
+
+ class Exclusive[T](start: T, end: T, step: T)(implicit num: Integral[T])
+ extends NumericRange(start, end, step, false) {
+ def copy(start: T, end: T, step: T): Exclusive[T] =
+ NumericRange(start, end, step)
+
+ def inclusive: Inclusive[T] = NumericRange.inclusive(start, end, step)
+ }
+
+ def apply[T](start: T, end: T, step: T)(implicit num: Integral[T]): Exclusive[T] =
+ new Exclusive(start, end, step)
+ def inclusive[T](start: T, end: T, step: T)(implicit num: Integral[T]): Inclusive[T] =
+ new Inclusive(start, end, step)
+
+ private[collection] val defaultOrdering = Map[Numeric[_], Ordering[_]](
+ Numeric.IntIsIntegral -> Ordering.Int,
+ Numeric.ShortIsIntegral -> Ordering.Short,
+ Numeric.ByteIsIntegral -> Ordering.Byte,
+ Numeric.CharIsIntegral -> Ordering.Char,
+ Numeric.LongIsIntegral -> Ordering.Long
+ )
+
+}
+