Class VectorShuffle<E>

  • Type Parameters:
    E - the boxed element type of any vector to which this shuffle applies

    public abstract class VectorShuffle<E>
    extends Object
    A VectorShuffle represents an ordered immutable sequence of int values called source indexes, where each source index numerically selects a source lane from a Vector of a compatible vector species. A shuffle has a lane structure derived from its vector species, but it stores lane indexes, as ints, rather than lane values.

    A shuffle is applied to a source vector with the rearrange method. This method gathers lane values by random access to the source vector, selecting lanes by consulting the source indexes. If a source index appears more than once in a shuffle, then the selected lane's value is copied more than once into the result. If a particular lane is never selected by a source index, that lane's value is ignored. The resulting vector contains all the source lane values selected by the source indexes of the shuffle. The resulting lane values are ordered according to the shuffle's source indexes, not according to the original vector's lane order.

    Each shuffle has a vectorSpecies() property which determines the compatibility of vectors the shuffle operates on. This ensures that the length() of a shuffle is always equal to the VLENGTH of any vector it operates on. The element type and shape of the shuffle's species are not directly relevant to the behavior of the shuffle. Shuffles can easily be converted to other lane types, as long as the lane count stays constant.

    In its internal state, a shuffle always holds integral values in a narrow range from [-VLENGTH..VLENGTH-1]. The positive numbers are self-explanatory; they are lane numbers applied to any source vector. The negative numbers, when present, are a sign that the shuffle was created from a raw integer value which was not a valid lane index.

    An invalid source index, represented in a shuffle by a negative number, is called an exceptional index.

    Exceptional indexes are processed in a variety of ways:

    • Unless documented otherwise, shuffle-using methods will throw ArrayIndexOutOfBoundsException when a lane is processed by an exceptional index.
    • When an invalid source index (negative or not) is first loaded into a shuffle, it is partially normalized to the negative range of [-VLENGTH..-1] as if by wrapIndex(). This treatment of exceptional indexes is called partial wrapping, because it preserves the distinction between normal and exceptional indexes, while wrapping them into adjacent ranges of positive and non-positive numbers. A partially wrapped index can later on be fully wrapped into the positive range by adding a final offset of VLENGTH.
    • In some applications, exceptional indexes used to "steer" access to a second source vector. In those cases, the exception index values, which are in the range [-VLENGTH..-1], are cycled up to the valid range [0..VLENGTH-1] and used on the second source vector.
    • When a shuffle is cast from another shuffle species with a smaller VLENGTH, all indexes are re-validated aginst the new VLENGTH, and some may be converted to exceptional indexes. In any case, shuffle casting never converts exceptional indexes to normal ones.

    Value-based classes and identity operations

    VectorShuffle, along with Vector is a value-based class. Identity-sensitive operations such as == may yield unpredictable results, or reduced performance. Also, vector shuffle objects can be stored in locals and parameters and as static final constants, but storing them in other Java fields or in array elements, while semantically valid, may incur performance penalties. Finally, vector shuffles should not be computed in loops, when possible, but instead should be stored in loop-invariant locals or as static final constants.
    • Method Summary

      Modifier and Type Method Description
      abstract <F> VectorShuffle<F> cast​(VectorSpecies<F> species)
      Converts this shuffle to a shuffle of the given species of element type F.
      abstract <F> VectorShuffle<F> check​(VectorSpecies<F> species)
      Checks that this shuffle has the given species, and returns this shuffle unchanged.
      abstract int checkIndex​(int index)
      Validation function for lane indexes which may be out of the valid range of [0..VLENGTH-1].
      abstract VectorShuffle<E> checkIndexes()
      Apply the checkIndex() validation function to all lanes, throwing IndexOutOfBoundsException if there are any exceptional indexes in this shuffle.
      boolean equals​(Object obj)
      Indicates whether this shuffle is identical to some other object.
      static <E> VectorShuffle<E> fromArray​(VectorSpecies<E> species, int[] sourceIndexes, int offset)
      Creates a shuffle for a given species from an int array starting at an offset.
      static <E> VectorShuffle<E> fromOp​(VectorSpecies<E> species, IntUnaryOperator fn)
      Creates a shuffle for a given species from the successive values of an operator applied to the range [0..VLENGTH-1].
      static <E> VectorShuffle<E> fromValues​(VectorSpecies<E> species, int... sourceIndexes)
      Creates a shuffle for a given species from a series of source indexes.
      int hashCode()
      Returns a hash code value for the shuffle, based on the lane source indexes and the vector species.
      abstract void intoArray​(int[] a, int offset)
      Stores this shuffle into an int array starting at offset.
      static <E> VectorShuffle<E> iota​(VectorSpecies<E> species, int start, int step, boolean wrap)
      Creates a shuffle using source indexes set to sequential values starting from start and stepping by the given step.
      abstract VectorMask<E> laneIsValid()
      Find all lanes containing valid indexes (non-negative values) and return a mask where exactly those lanes are set.
      int laneSource​(int i)
      Gets the int lane element at lane index i
      int length()
      Returns the number of lanes processed by this shuffle.
      static <E> VectorShuffle<E> makeUnzip​(VectorSpecies<E> species, int part)
      Creates a shuffle which will unzip the concatenation of two vectors, alternatively storing input lanes into one or the other output vector.
      static <E> VectorShuffle<E> makeZip​(VectorSpecies<E> species, int part)
      Creates a shuffle which will zip together two vectors, alternatively selecting lanes from one or the other.
      abstract VectorShuffle<E> rearrange​(VectorShuffle<E> s)
      Rearranges the lane elements of this shuffle selecting lane indexes controlled by another shuffle.
      abstract int[] toArray()
      Returns an int array containing the lane source indexes of this shuffle.
      String toString()
      Returns a string representation of this shuffle, of the form "Shuffle[0,1,2...]", reporting the source indexes in lane order.
      abstract Vector<E> toVector()
      Converts this shuffle into a vector, creating a vector of integral values corresponding to the lane source indexes of the shuffle.
      abstract VectorSpecies<E> vectorSpecies()
      Returns the species of this shuffle.
      abstract int wrapIndex​(int index)
      Validation function for lane indexes which may be out of the valid range of [0..VLENGTH-1].
      abstract VectorShuffle<E> wrapIndexes()
      Apply the wrapIndex() validation function to all lanes, replacing any exceptional indexes with wrapped normal indexes.
    • Method Detail

      • vectorSpecies

        public abstract VectorSpecies<E> vectorSpecies()
        Returns the species of this shuffle.
        Returns:
        the species of this shuffle
      • length

        public final int length()
        Returns the number of lanes processed by this shuffle. This is the same as the VLENGTH of any vector it operates on.
        Returns:
        the number of shuffle lanes
      • cast

        public abstract <F> VectorShuffle<F> cast​(VectorSpecies<F> species)
        Converts this shuffle to a shuffle of the given species of element type F. The various lane source indexes are unmodified. Exceptional source indexes remain exceptional and valid indexes remain valid.
        Type Parameters:
        F - the boxed element type of the species
        Parameters:
        species - the species of desired shuffle
        Returns:
        a shuffle converted by shape and element type
        Throws:
        IllegalArgumentException - if this shuffle length and the species length differ
      • check

        public abstract <F> VectorShuffle<F> check​(VectorSpecies<F> species)
        Checks that this shuffle has the given species, and returns this shuffle unchanged. The effect is similar to this pseudocode: species == vectorSpecies() ? this : throw new ClassCastException().
        Type Parameters:
        F - the boxed element type of the required species
        Parameters:
        species - the required species
        Returns:
        the same shuffle
        Throws:
        ClassCastException - if the shuffle species is wrong
        See Also:
        Vector.check(Class), Vector.check(VectorSpecies)
      • checkIndex

        public abstract int checkIndex​(int index)
        Validation function for lane indexes which may be out of the valid range of [0..VLENGTH-1]. If index is in this range, it is returned unchanged. Otherwise, an IndexOutOfBoundsException is thrown.
        Parameters:
        index - the lane index
        Returns:
        index
        Throws:
        IndexOutOfBoundsException - if the index is not less than VLENGTH, or is negative
        See Also:
        wrapIndex(int), checkIndexes()
      • wrapIndex

        public abstract int wrapIndex​(int index)
        Validation function for lane indexes which may be out of the valid range of [0..VLENGTH-1]. The index is forced into this range by adding or subtracting a suitable multiple of VLENGTH. Specifically, the index is reduced into the required range by computing the value of length-floor, where floor=vectorSpecies().loopBound(length) is the next lower multiple of VLENGTH. As long as VLENGTH is a power of two, then the reduced index also equal to index & (VLENGTH - 1).
        Parameters:
        index - the lane index
        Returns:
        index, adjusted to the range [0..VLENGTH-1} by an appropriate multiple of VLENGTH
        See Also:
        VectorSpecies.loopBound(int), checkIndex(int), wrapIndexes()
      • wrapIndexes

        public abstract VectorShuffle<E> wrapIndexes()
        Apply the wrapIndex() validation function to all lanes, replacing any exceptional indexes with wrapped normal indexes.
        Returns:
        the current shuffle, with all exceptional indexes wrapped
        See Also:
        wrapIndex(int), checkIndexes()
      • laneIsValid

        public abstract VectorMask<E> laneIsValid()
        Find all lanes containing valid indexes (non-negative values) and return a mask where exactly those lanes are set.
        Returns:
        a mask of lanes containing valid source indexes
        See Also:
        checkIndexes()
      • fromValues

        public static <E> VectorShuffle<E> fromValues​(VectorSpecies<E> species,
                                                      int... sourceIndexes)
        Creates a shuffle for a given species from a series of source indexes.

        For each shuffle lane, where N is the shuffle lane index, the Nth index value is validated against the species VLENGTH, and (if invalid) is partially wrapped to an exceptional index in the range [-VLENGTH..-1].

        Type Parameters:
        E - the boxed element type
        Parameters:
        species - shuffle species
        sourceIndexes - the source indexes which the shuffle will draw from
        Returns:
        a shuffle where each lane's source index is set to the given int value, partially wrapped if exceptional
        Throws:
        IndexOutOfBoundsException - if sourceIndexes.length != VLENGTH
        See Also:
        VectorSpecies.shuffleFromValues(int...)
      • fromArray

        public static <E> VectorShuffle<E> fromArray​(VectorSpecies<E> species,
                                                     int[] sourceIndexes,
                                                     int offset)
        Creates a shuffle for a given species from an int array starting at an offset.

        For each shuffle lane, where N is the shuffle lane index, the array element at index offset + N is validated against the species VLENGTH, and (if invalid) is partially wrapped to an exceptional index in the range [-VLENGTH..-1].

        Type Parameters:
        E - the boxed element type
        Parameters:
        species - shuffle species
        sourceIndexes - the source indexes which the shuffle will draw from
        offset - the offset into the array
        Returns:
        a shuffle where each lane's source index is set to the given int value, partially wrapped if exceptional
        Throws:
        IndexOutOfBoundsException - if offset < 0, or offset > sourceIndexes.length - VLENGTH
        See Also:
        VectorSpecies.shuffleFromArray(int[], int)
      • fromOp

        public static <E> VectorShuffle<E> fromOp​(VectorSpecies<E> species,
                                                  IntUnaryOperator fn)
        Creates a shuffle for a given species from the successive values of an operator applied to the range [0..VLENGTH-1].

        For each shuffle lane, where N is the shuffle lane index, the Nth index value is validated against the species VLENGTH, and (if invalid) is partially wrapped to an exceptional index in the range [-VLENGTH..-1].

        Care should be taken to ensure VectorShuffle values produced from this method are consumed as constants to ensure optimal generation of code. For example, shuffle values can be held in static final fields or loop-invariant local variables.

        This method behaves as if a shuffle is created from an array of mapped indexes as follows:

        
           int[] a = new int[species.length()];
           for (int i = 0; i < a.length; i++) {
               a[i] = fn.applyAsInt(i);
           }
           return VectorShuffle.fromArray(a, 0);
         
        Type Parameters:
        E - the boxed element type
        Parameters:
        species - shuffle species
        fn - the lane index mapping function
        Returns:
        a shuffle of mapped indexes
        See Also:
        VectorSpecies.shuffleFromOp(IntUnaryOperator)
      • iota

        public static <E> VectorShuffle<E> iota​(VectorSpecies<E> species,
                                                int start,
                                                int step,
                                                boolean wrap)
        Creates a shuffle using source indexes set to sequential values starting from start and stepping by the given step. If wrap is true, also reduce each index (as if by wrapIndex) to the valid range [0..VLENGTH-1].

        This method returns the value of the expression VectorShuffle.fromOp(species, i -> R(start + i * step)), where R is wrapIndex if wrap is true, and is the identity function otherwise.

        API Note:
        The wrap parameter should be set to true if invalid source indexes should be wrapped. Otherwise, setting it to false allows invalid source indexes to be range-checked by later operations such as unary rearrange.
        Type Parameters:
        E - the boxed element type
        Parameters:
        species - shuffle species
        start - the starting value of the source index sequence
        step - the difference between adjacent source indexes
        wrap - whether to wrap resulting indexes
        Returns:
        a shuffle of sequential lane indexes, possibly wrapped
        See Also:
        VectorSpecies.iotaShuffle(int,int,boolean)
      • makeZip

        public static <E> VectorShuffle<E> makeZip​(VectorSpecies<E> species,
                                                   int part)
        Creates a shuffle which will zip together two vectors, alternatively selecting lanes from one or the other. The logical result of a zip is twice the size of either input, and so the expanded result is broken into two physical parts, selected by a part number. For example, zipping two vectors [a,b,c,d] and [1,2,3,4] will yield the expanded logical result [a,1,b,2,c,3,d,4] which must be obtained in two parts, [a,1,b,2] and [c,3,d,4].

        This method returns the value of the expression VectorShuffle.fromOp(species, i -> i/2 + (i%2)*VLENGTH + P, where P is part*VLENGTH/2.

        s Note that the source indexes in the odd lanes of the shuffle will be invalid indexes (>= VLENGTH, or < 0 after partial normalization), which will select from the second vector.

        Type Parameters:
        E - the boxed element type
        Parameters:
        species - the shuffle species
        part - the part number of the result (either zero or one)
        Returns:
        a shuffle which zips two vectors into 2*VLENGTH lanes, returning the selected part
        Throws:
        ArrayIndexOutOfBoundsException - if part is not zero or one
        See Also:
        makeUnzip(VectorSpecies, int), Vector.rearrange(VectorShuffle,Vector)
      • makeUnzip

        public static <E> VectorShuffle<E> makeUnzip​(VectorSpecies<E> species,
                                                     int part)
        Creates a shuffle which will unzip the concatenation of two vectors, alternatively storing input lanes into one or the other output vector. Since the logical result of an unzip is twice the size of either input, the expanded result is broken into two physical parts, selected by a part number. For example, unzipping two vectors [a,1,b,2][c,3,d,4] will yield a result in two parts, [a,b,c,d] and [1,2,3,4].

        This method returns the value of the expression VectorShuffle.fromOp(species, i -> i*2+part.

        Note that the source indexes in upper half of the shuffle will be invalid indexes (>= VLENGTH, or < 0 after partial normalization), which will select from the second vector.

        Type Parameters:
        E - the boxed element type
        Parameters:
        species - the shuffle species
        part - the part number of the result (either zero or one)
        Returns:
        a shuffle which unzips 2*VLENGTH lanes into two vectors, returning the selected part
        Throws:
        ArrayIndexOutOfBoundsException - if part is not zero or one
        See Also:
        makeZip(VectorSpecies,int), Vector.rearrange(VectorShuffle,Vector)
      • toArray

        public abstract int[] toArray()
        Returns an int array containing the lane source indexes of this shuffle.

        This method behaves as if it stores this shuffle into an allocated array (using intoArray) and returns that array as follows:

        
           int[] a = new int[this.length()];
           VectorShuffle.intoArray(a, 0);
           return a;
         
        API Note:
        Shuffle source indexes are always in the range from -VLENGTH to VLENGTH-1. A source index is exceptional if and only if it is negative.
        Returns:
        an array containing the lane source indexes of this shuffle
      • intoArray

        public abstract void intoArray​(int[] a,
                                       int offset)
        Stores this shuffle into an int array starting at offset.

        For each shuffle lane N, the lane source index stored for that lane element is stored into the array element a[offset+N].

        API Note:
        Shuffle source indexes are always in the range from -VLENGTH to VLENGTH-1.
        Parameters:
        a - the array, of type int[]
        offset - the offset into the array
        Throws:
        IndexOutOfBoundsException - if offset < 0 or offset > a.length - this.length()
      • toVector

        public abstract Vector<E> toVector()
        Converts this shuffle into a vector, creating a vector of integral values corresponding to the lane source indexes of the shuffle.

        This method behaves as if it returns the result of creating a vector given an int array obtained from this shuffle's lane elements, as follows:

        
           int[] sa = this.toArray();
           $type$[] va = new $type$[a.length];
           for (int i = 0; i < a.length; i++) {
               va[i] = ($type$) sa[i];
           }
           return IntVector.fromArray(va, 0);
         
        API Note:
        Shuffle source indexes are always in the range from -VLENGTH to VLENGTH-1. These values are converted to the ETYPE of the resulting vector, even if it is a floating point type.
        Returns:
        a vector representation of this shuffle
      • laneSource

        public int laneSource​(int i)
        Gets the int lane element at lane index i
        Parameters:
        i - the lane index
        Returns:
        the int lane element at lane index i
      • rearrange

        public abstract VectorShuffle<E> rearrange​(VectorShuffle<E> s)
        Rearranges the lane elements of this shuffle selecting lane indexes controlled by another shuffle.

        For each lane of the specified shuffle, at lane index N with lane element I, the lane element at I from this shuffle is selected and placed into the resulting shuffle at N.

        Parameters:
        s - the shuffle controlling lane index selection
        Returns:
        the rearrangement of the lane elements of this shuffle
      • toString

        public final String toString()
        Returns a string representation of this shuffle, of the form "Shuffle[0,1,2...]", reporting the source indexes in lane order.
        Overrides:
        toString in class Object
        Returns:
        a string of the form "Shuffle[0,1,2...]"
      • equals

        public final boolean equals​(Object obj)
        Indicates whether this shuffle is identical to some other object. Two shuffles are identical only if they have the same species and same source indexes, in the same order.
        Overrides:
        equals in class Object
        Parameters:
        obj - the reference object with which to compare.
        Returns:
        whether this vector is identical to some other object
        See Also:
        Object.hashCode(), HashMap