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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)
+ }
+}