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-/* __ *\
-** ________ ___ / / ___ Scala API **
-** / __/ __// _ | / / / _ | (c) 2006-2013, LAMP/EPFL **
-** __\ \/ /__/ __ |/ /__/ __ | http://scala-lang.org/ **
-** /____/\___/_/ |_/____/_/ | | **
-** |/ **
-\* */
-
-
-package scala
-package collection.immutable
-
-import scala.collection.parallel.immutable.ParRange
-
-/** The `Range` class represents integer values in range
- * ''[start;end)'' with non-zero step value `step`.
- * It's a special case of an indexed sequence.
- * For example:
- *
- * {{{
- * val r1 = 0 until 10
- * val r2 = r1.start until r1.end by r1.step + 1
- * println(r2.length) // = 5
- * }}}
- *
- * Ranges that contain more than `Int.MaxValue` elements can be created, but
- * these overfull ranges have only limited capabilities. Any method that
- * could require a collection of over `Int.MaxValue` length to be created, or
- * could be asked to index beyond `Int.MaxValue` elements will throw an
- * exception. Overfull ranges can safely be reduced in size by changing
- * the step size (e.g. `by 3`) or taking/dropping elements. `contains`,
- * `equals`, and access to the ends of the range (`head`, `last`, `tail`,
- * `init`) are also permitted on overfull ranges.
- *
- * @param start the start of this range.
- * @param end the exclusive end of the range.
- * @param step the step for the range.
- *
- * @author Martin Odersky
- * @author Paul Phillips
- * @version 2.8
- * @since 2.5
- * @see [[http://docs.scala-lang.org/overviews/collections/concrete-immutable-collection-classes.html#ranges "Scala's Collection Library overview"]]
- * section on `Ranges` for more information.
- *
- * @define coll range
- * @define mayNotTerminateInf
- * @define willNotTerminateInf
- * @define doesNotUseBuilders
- * '''Note:''' this method does not use builders to construct a new range,
- * and its complexity is O(1).
- */
-@SerialVersionUID(7618862778670199309L)
-@inline
-@deprecatedInheritance("The implementation details of Range makes inheriting from it unwise.", "2.11.0")
-class Range(val start: Int, val end: Int, val step: Int)
-extends scala.collection.AbstractSeq[Int]
- with IndexedSeq[Int]
- with scala.collection.CustomParallelizable[Int, ParRange]
- with Serializable
-{
- override def par = new ParRange(this)
-
- private def gap = end.toLong - start.toLong
- private def isExact = gap % step == 0
- private def hasStub = isInclusive || !isExact
- private def longLength = gap / step + ( if (hasStub) 1 else 0 )
-
- // Check cannot be evaluated eagerly because we have a pattern where
- // ranges are constructed like: "x to y by z" The "x to y" piece
- // should not trigger an exception. So the calculation is delayed,
- // which means it will not fail fast for those cases where failing was
- // correct.
- override final val isEmpty = (
- (start > end && step > 0)
- || (start < end && step < 0)
- || (start == end && !isInclusive)
- )
- @deprecated("This method will be made private, use `length` instead.", "2.11")
- final val numRangeElements: Int = {
- if (step == 0) throw new IllegalArgumentException("step cannot be 0.")
- else if (isEmpty) 0
- else {
- val len = longLength
- if (len > scala.Int.MaxValue) -1
- else len.toInt
- }
- }
- @deprecated("This method will be made private, use `last` instead.", "2.11")
- final val lastElement =
- if (isEmpty) start - step
- else step match {
- case 1 => if (isInclusive) end else end-1
- case -1 => if (isInclusive) end else end+1
- case _ =>
- val remainder = (gap % step).toInt
- if (remainder != 0) end - remainder
- else if (isInclusive) end
- else end - step
- }
-
- @deprecated("This method will be made private.", "2.11")
- final val terminalElement = lastElement + step
-
- /** The last element of this range. This method will return the correct value
- * even if there are too many elements to iterate over.
- */
- override def last = if (isEmpty) Nil.last else lastElement
- override def head = if (isEmpty) Nil.head else start
-
- override def min[A1 >: Int](implicit ord: Ordering[A1]): Int =
- if (ord eq Ordering.Int) {
- if (step > 0) head
- else last
- } else super.min(ord)
-
- override def max[A1 >: Int](implicit ord: Ordering[A1]): Int =
- if (ord eq Ordering.Int) {
- if (step > 0) last
- else head
- } else super.max(ord)
-
- protected def copy(start: Int, end: Int, step: Int): Range = new Range(start, end, step)
-
- /** Create a new range with the `start` and `end` values of this range and
- * a new `step`.
- *
- * @return a new range with a different step
- */
- def by(step: Int): Range = copy(start, end, step)
-
- def isInclusive = false
-
- override def size = length
- override def length = if (numRangeElements < 0) fail() else numRangeElements
-
- private def fail() = Range.fail(start, end, step, isInclusive)
- private def validateMaxLength() {
- if (numRangeElements < 0)
- fail()
- }
-
- final def apply(idx: Int): Int = {
- validateMaxLength()
- if (idx < 0 || idx >= numRangeElements) throw new IndexOutOfBoundsException(idx.toString)
- else start + (step * idx)
- }
-
- @inline final override def foreach[@specialized(Unit) U](f: Int => U) {
- validateMaxLength()
- val isCommonCase = (start != Int.MinValue || end != Int.MinValue)
- var i = start
- var count = 0
- val terminal = terminalElement
- val step = this.step
- while(
- if(isCommonCase) { i != terminal }
- else { count < numRangeElements }
- ) {
- f(i)
- count += 1
- i += step
- }
- }
-
- /** Creates a new range containing the first `n` elements of this range.
- *
- * $doesNotUseBuilders
- *
- * @param n the number of elements to take.
- * @return a new range consisting of `n` first elements.
- */
- final override def take(n: Int): Range = (
- if (n <= 0 || isEmpty) newEmptyRange(start)
- else if (n >= numRangeElements && numRangeElements >= 0) this
- else {
- // May have more than Int.MaxValue elements in range (numRangeElements < 0)
- // but the logic is the same either way: take the first n
- new Range.Inclusive(start, locationAfterN(n - 1), step)
- }
- )
-
- /** Creates a new range containing all the elements of this range except the first `n` elements.
- *
- * $doesNotUseBuilders
- *
- * @param n the number of elements to drop.
- * @return a new range consisting of all the elements of this range except `n` first elements.
- */
- final override def drop(n: Int): Range = (
- if (n <= 0 || isEmpty) this
- else if (n >= numRangeElements && numRangeElements >= 0) newEmptyRange(end)
- else {
- // May have more than Int.MaxValue elements (numRangeElements < 0)
- // but the logic is the same either way: go forwards n steps, keep the rest
- copy(locationAfterN(n), end, step)
- }
- )
-
- /** Creates a new range containing all the elements of this range except the last one.
- *
- * $doesNotUseBuilders
- *
- * @return a new range consisting of all the elements of this range except the last one.
- */
- final override def init: Range = {
- if (isEmpty)
- Nil.init
-
- dropRight(1)
- }
-
- /** Creates a new range containing all the elements of this range except the first one.
- *
- * $doesNotUseBuilders
- *
- * @return a new range consisting of all the elements of this range except the first one.
- */
- final override def tail: Range = {
- if (isEmpty)
- Nil.tail
-
- drop(1)
- }
-
- // Advance from the start while we meet the given test
- private def argTakeWhile(p: Int => Boolean): Long = {
- if (isEmpty) start
- else {
- var current = start
- val stop = last
- while (current != stop && p(current)) current += step
- if (current != stop || !p(current)) current
- else current.toLong + step
- }
- }
- // 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) = start + (step * 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: Int) = new Range(value, value, step)
-
- final override def takeWhile(p: Int => Boolean): Range = {
- val stop = argTakeWhile(p)
- if (stop==start) newEmptyRange(start)
- else {
- val x = (stop - step).toInt
- if (x == last) this
- else new Range.Inclusive(start, x, step)
- }
- }
- final override def dropWhile(p: Int => Boolean): Range = {
- val stop = argTakeWhile(p)
- if (stop == start) this
- else {
- val x = (stop - step).toInt
- if (x == last) newEmptyRange(last)
- else new Range.Inclusive(x + step, last, step)
- }
- }
- final override def span(p: Int => Boolean): (Range, Range) = {
- val border = argTakeWhile(p)
- if (border == start) (newEmptyRange(start), this)
- else {
- val x = (border - step).toInt
- if (x == last) (this, newEmptyRange(last))
- else (new Range.Inclusive(start, x, step), new Range.Inclusive(x+step, last, step))
- }
- }
-
- /** Creates a pair of new ranges, first consisting of elements before `n`, and the second
- * of elements after `n`.
- *
- * $doesNotUseBuilders
- */
- final override def splitAt(n: Int) = (take(n), drop(n))
-
- /** Creates a new range consisting of the `length - n` last elements of the range.
- *
- * $doesNotUseBuilders
- */
- final override def takeRight(n: Int): Range = {
- if (n <= 0) newEmptyRange(start)
- else if (numRangeElements >= 0) drop(numRangeElements - n)
- else {
- // Need to handle over-full range separately
- val y = last
- val x = y - step.toLong*(n-1)
- if ((step > 0 && x < start) || (step < 0 && x > start)) this
- else new Range.Inclusive(x.toInt, y, step)
- }
- }
-
- /** Creates a new range consisting of the initial `length - n` elements of the range.
- *
- * $doesNotUseBuilders
- */
- final override def dropRight(n: Int): Range = {
- if (n <= 0) this
- else if (numRangeElements >= 0) take(numRangeElements - n)
- else {
- // Need to handle over-full range separately
- val y = last - step.toInt*n
- if ((step > 0 && y < start) || (step < 0 && y > start)) newEmptyRange(start)
- else new Range.Inclusive(start, y.toInt, step)
- }
- }
-
- /** Returns the reverse of this range.
- *
- * $doesNotUseBuilders
- */
- final override def reverse: Range =
- if (isEmpty) this
- else new Range.Inclusive(last, start, -step)
-
- /** Make range inclusive.
- */
- def inclusive =
- if (isInclusive) this
- else new Range.Inclusive(start, end, step)
-
- final def contains(x: Int) = {
- if (x==end && !isInclusive) false
- else if (step > 0) {
- if (x < start || x > end) false
- else (step == 1) || (((x - start) % step) == 0)
- }
- else {
- if (x < end || x > start) false
- else (step == -1) || (((x - start) % step) == 0)
- }
- }
-
- final override def sum[B >: Int](implicit num: Numeric[B]): Int = {
- if (num eq scala.math.Numeric.IntIsIntegral) {
- // this is normal integer range with usual addition. arithmetic series formula can be used
- if (isEmpty) 0
- else if (numRangeElements == 1) head
- else (numRangeElements.toLong * (head + last) / 2).toInt
- } else {
- // user provided custom Numeric, we cannot rely on arithmetic series formula
- if (isEmpty) num.toInt(num.zero)
- else {
- var acc = num.zero
- var i = head
- while(i != terminalElement) {
- acc = num.plus(acc, i)
- i = i + step
- }
- num.toInt(acc)
- }
- }
- }
-
- override def toIterable = this
-
- override def toSeq = this
-
- override def equals(other: Any) = other match {
- case x: Range =>
- // Note: this must succeed for overfull ranges (length > Int.MaxValue)
- (x canEqual this) && {
- if (isEmpty) x.isEmpty // empty sequences are equal
- else // this is non-empty...
- x.nonEmpty && start == x.start && { // ...so other must contain something and have same start
- val l0 = last
- (l0 == x.last && ( // And same end
- start == l0 || step == x.step // And either the same step, or not take any steps
- ))
- }
- }
- case _ =>
- super.equals(other)
- }
- /** Note: hashCode can't be overridden without breaking Seq's
- * equals contract.
- */
-
- override def toString() = {
- val endStr =
- if (numRangeElements > Range.MAX_PRINT || (!isEmpty && numRangeElements < 0)) ", ... )" else ")"
- take(Range.MAX_PRINT).mkString("Range(", ", ", endStr)
- }
-}
-
-/** A companion object for the `Range` class.
- */
-object Range {
- private[immutable] val MAX_PRINT = 512 // some arbitrary value
-
- private def description(start: Int, end: Int, step: Int, isInclusive: Boolean) =
- "%d %s %d by %s".format(start, if (isInclusive) "to" else "until", end, step)
-
- private def fail(start: Int, end: Int, step: Int, isInclusive: Boolean) =
- throw new IllegalArgumentException(description(start, end, step, isInclusive) +
- ": seqs cannot contain more than Int.MaxValue elements.")
-
- /** Counts the number of range elements.
- * @pre step != 0
- * If the size of the range exceeds Int.MaxValue, the
- * result will be negative.
- */
- def count(start: Int, end: Int, step: Int, isInclusive: Boolean): Int = {
- if (step == 0)
- throw new IllegalArgumentException("step cannot be 0.")
-
- val isEmpty = (
- if (start == end) !isInclusive
- else if (start < end) step < 0
- else step > 0
- )
- if (isEmpty) 0
- else {
- // Counts with Longs so we can recognize too-large ranges.
- val gap: Long = end.toLong - start.toLong
- val jumps: Long = gap / step
- // Whether the size of this range is one larger than the
- // number of full-sized jumps.
- val hasStub = isInclusive || (gap % step != 0)
- val result: Long = jumps + ( if (hasStub) 1 else 0 )
-
- if (result > scala.Int.MaxValue) -1
- else result.toInt
- }
- }
- def count(start: Int, end: Int, step: Int): Int =
- count(start, end, step, isInclusive = false)
-
- @inline
- class Inclusive(start: Int, end: Int, step: Int) extends Range(start, end, step) {
-// override def par = new ParRange(this)
- override def isInclusive = true
- override protected def copy(start: Int, end: Int, step: Int): Range = new Inclusive(start, end, step)
- }
-
- /** Make a range from `start` until `end` (exclusive) with given step value.
- * @note step != 0
- */
- def apply(start: Int, end: Int, step: Int): Range = new Range(start, end, step)
-
- /** Make a range from `start` until `end` (exclusive) with step value 1.
- */
- def apply(start: Int, end: Int): Range = new Range(start, end, 1)
-
- /** Make an inclusive range from `start` to `end` with given step value.
- * @note step != 0
- */
- def inclusive(start: Int, end: Int, step: Int): Range.Inclusive = new Inclusive(start, end, step)
-
- /** Make an inclusive range from `start` to `end` with step value 1.
- */
- def inclusive(start: Int, end: Int): Range.Inclusive = new Inclusive(start, end, 1)
-
- // BigInt and Long are straightforward generic ranges.
- object BigInt {
- def apply(start: BigInt, end: BigInt, step: BigInt) = NumericRange(start, end, step)
- def inclusive(start: BigInt, end: BigInt, step: BigInt) = NumericRange.inclusive(start, end, step)
- }
-
- object Long {
- def apply(start: Long, end: Long, step: Long) = NumericRange(start, end, step)
- def inclusive(start: Long, end: Long, step: Long) = NumericRange.inclusive(start, end, step)
- }
-
- // BigDecimal uses an alternative implementation of Numeric in which
- // it pretends to be Integral[T] instead of Fractional[T]. See Numeric for
- // details. The intention is for it to throw an exception anytime
- // imprecision or surprises might result from anything, although this may
- // not yet be fully implemented.
- object BigDecimal {
- implicit val bigDecAsIntegral = scala.math.Numeric.BigDecimalAsIfIntegral
-
- def apply(start: BigDecimal, end: BigDecimal, step: BigDecimal) =
- NumericRange(start, end, step)
- def inclusive(start: BigDecimal, end: BigDecimal, step: BigDecimal) =
- NumericRange.inclusive(start, end, step)
- }
-
- // Double works by using a BigDecimal under the hood for precise
- // stepping, but mapping the sequence values back to doubles with
- // .doubleValue. This constructs the BigDecimals by way of the
- // String constructor (valueOf) instead of the Double one, which
- // is necessary to keep 0.3d at 0.3 as opposed to
- // 0.299999999999999988897769753748434595763683319091796875 or so.
- object Double {
- implicit val bigDecAsIntegral = scala.math.Numeric.BigDecimalAsIfIntegral
- implicit val doubleAsIntegral = scala.math.Numeric.DoubleAsIfIntegral
- def toBD(x: Double): BigDecimal = scala.math.BigDecimal valueOf x
-
- def apply(start: Double, end: Double, step: Double) =
- BigDecimal(toBD(start), toBD(end), toBD(step)) mapRange (_.doubleValue)
-
- def inclusive(start: Double, end: Double, step: Double) =
- BigDecimal.inclusive(toBD(start), toBD(end), toBD(step)) mapRange (_.doubleValue)
- }
-
- // As there is no appealing default step size for not-really-integral ranges,
- // we offer a partially constructed object.
- class Partial[T, U](f: T => U) {
- def by(x: T): U = f(x)
- }
-
- // Illustrating genericity with Int Range, which should have the same behavior
- // as the original Range class. However we leave the original Range
- // indefinitely, for performance and because the compiler seems to bootstrap
- // off it and won't do so with our parameterized version without modifications.
- object Int {
- def apply(start: Int, end: Int, step: Int) = NumericRange(start, end, step)
- def inclusive(start: Int, end: Int, step: Int) = NumericRange.inclusive(start, end, step)
- }
-}