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Topic: Array slicing

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	Array Summary
		An array index is generally written as A[i,j,k], where A is the name of the array and i, j, and k are the subsets of the array.
		Arrays also are among the most compact data structures; storing 100 integers in an array takes only 100 times the space required to store an integer, plus perhaps a few bytes of overhead for the whole array.
		Dynamic arrays or growable arrays are arrays which automatically perform this resizing as late as possible, when the programmer attempts to add an element to the end of the array and there is no more space.
	www.bookrags.com /Array (2294 words)

	Array - Wikipedia, the free encyclopedia
		Arrays permit efficient (constant-time, O(1)) random access but not efficient insertion and deletion of elements (which are O(n), where n is the size of the array).
		Dynamic arrays or growable arrays are arrays which automatically perform this resizing as late as possible, when the programmer attempts to add an element to the end of the array and there is no more space.
		The zero-based array was made popular by the C programming language, in which the abstraction of array is very weak, and an index n of an array is simply the address of the first element offset by n units.
	en.wikipedia.org /wiki/Array (1672 words)

	Array slicing - Wikipedia, the free encyclopedia
		Array slicing is implemented by referencing every array through a descriptor, a record that contains the address of the first array element, and then the range of each index and the corresponding coefficient in the element indexing formula.
		Array slicing facilities have been incorporated in several modern languages, such as Fortran 90, D, Perl, Matlab, GNU Octave, Boo and the S and R programming languages.
		Arrays in S and GNU R are always one-based, thus the indices of a new slice will begin with one for each dimension, regardless of the previous indices.
	en.wikipedia.org /wiki/Array_slicing (547 words)

	Array - LearnThis.Info Enclyclopedia (Site not responding. Last check: 2007-10-24)
		An array, also known as a vector or list, is one of the simplest data structures in computer programming.
		Arrays hold a fixed number of equally-sized data elements, generally of the same data type.
		Some arrays are multi-dimensional, meaning they are indexed by a fixed number of integers, for example by a tuple of two integers; one- and two-dimensional arrays are the most common.
	encyclopedia.learnthis.info /a/ar/array.html (1153 words)

	Part 05 - Containers and Casting - BOO - Confluence
		Slicing counts up from the number 0, so 0 would be the 1st value, 1 would be the 2nd, and so on.
		Slicing is very powerful, as it allows you to express what you need in a minimal amount of space, while still being readable.
		Arrays are simple objects that hold equally-sized data elements, generally of the same data type.
	docs.codehaus.org /pages/viewpage.action?pageId=32060 (714 words)

	PyCon 2003 numarray paper (Site not responding. Last check: 2007-10-24)
		Since such arrays of records may be accessed by column or row, copying the data from such data sets into Numeric arrays results in unnecessary copying as well as complicating the ability to update individual records.
		Since a slice of a Numeric or numarray array does not result in a copy but rather a new view into the same data buffer, the resulting array may not have data that are contiguous in memory.
		One may access data in arrays where the data is not in the processor's native byte order without having to produce a copy of the array or change the data in place.
	www.stsci.edu:8083 /resources/software_hardware/numarray/papers/PyCon2003 (6727 words)

	Array slicing - CompWisdom (Site not responding. Last check: 2007-10-24)
		The zero-based array was made popular by the C programming language, in which the abstraction of array is very weak, and an index n of an array is simply the address of the first element offset by n units.
		In computer programming, array slicing is an operation that extracts certain elements from an array and packages them as another array, possibly with different number of indices (or dimensions) and different index ranges.
		In the following, X is the array to be indexed, B is a boolean index array, and T is a tuple of indexing objects or a single indexing object (except for a boolean array) (note that X[a,b] is equivalent to X[(a,b)]).
	www.compwisdom.com /topics/Array-slicing (1868 words)

	Definition of Array slicing
		In computer programming, array slicing is an operation that extracts certain elements from an array and packages them as another array, possibly with different number of indices and different index ranges.
		Depending on the language and context, the elements of the new array may be aliased to (i.e., share memory with) those of the original array.
		Slicing as a language feature probably started with the FORTRAN, more as a consequence of non-existent type and range checking than by design.
	www.wordiq.com /definition/Array_slicing (317 words)

	[No title]
		Arrays will not be assumed to always be aligned on word boundaries, nor necessarily stored in the same byte-order as the platform default, nor even writeable (mutable).
		In the following, X is the array to be indexed, B is a boolean index array, and T is a tuple of indexing objects or a single indexing object (except for a boolean array) (note that X[a,b] is equivalent to X[(a,b)]).
		The array "a" acts like a (5,6) array where a[:,0] is broadcast to the other columns, "b" acts like a (5,6) array where b[0,:] is broadcast to the other rows, "c" acts like a (1,6) array and thus a (5,6) array where c[:] is broadcast to every row.
	numeric.scipy.org /PEP.txt (2588 words)

	Slicing the array
		You may play with various ways of indeces to extract various arrays from the original array.
		: an array with the elements of the indices.
		A two-or-more-dimensional array object with only one argument in `[ ]', is treated as a flat one-dimensional array.
	cryoem.swmed.edu /~mkikkawa/ruby-helix/node101.html (194 words)

	Vectors and Arrays - Language design and implementation
		For example, if a language has both dynamic arrays and bound checking, then the bounds (and strides) of arrays have to be decided at run-time, when the array is created, and passed on if the array is used as a parameter.
		a: array [1..4] of array [1..7] of integer;
		an array is a vector of pointers to vectors of pointers to...
	www.cs.man.ac.uk /~pjj/cs2112/ho/node17.html (1063 words)

	C H A P T E R 8 - Evaluating and Displaying Data (Site not responding. Last check: 2007-10-24)
		Array Striding - Prints certain elements only, in a fixed pattern, within the specified slice (which may be an entire array).
		Expression that should evaluate to an array or pointer type.
		Here is an example of a two-dimensional, rectangular slice of a C++ array, with the default stride of 1 omitted.
	docs.sun.com /source/819-3683/data.html (1097 words)

	Php Aphorisms: Reusable Code Snippets And Functions. Array Comparisons, Array Arguments Unfolding, Array Slicing And ...
		It holds a numerically indexed array whose each entry represents a value that was not found in the array passed as first argument but that was present in the second.
		It holds a numerically indexed array whose each entry represents a value that was not found in the array passed as second argument but that was present in the first (that is, the viceversa of the above).
		This produced (unfolded) array ranges all the arguments as an unidimensional array, so that among the arguments to unfold those that were items of an array will appear as disengaged from their original array and just lined up with all the others in the newly produced output array.
	www.unitedscripters.com /phps/aphorisms.html (1852 words)

	[No title]
		Arrays will not be assumed to always be aligned on word boundaries, nor necessarily stored in the same byte-order as the platform default, nor even writeable (mutable).
		The array "a" acts like a (5,6) array where a[:,0] is broadcast to the other columns, "b" acts like a (5,6) array where b[0,:] is broadcast to the other rows, "c" acts like a (1,6) array and thus a (5,6) array where c[:] is broadcast to every row.
		Also, the dimensions and strides arrays have been changed to intp (which will be a signed integer type that can hold a pointer for the platform -- it could in theory be changed to an unsigned integer, but there are places where it is convenient to use negative strides and index values).
	numpy.scipy.org /PEP.txt (2588 words)

	multidimensional arrays \| Lambda the Ultimate
		Feeding numerical parameters (or arrays of same) into a function is not a higher-order operation; it is a straight function call.
		Even in languages that don't have true multidimensioanl arrays it is possible to have an elegant and fully general syntax for slices, e.g., m[1;;] (same as m[1]), m[;1;] and m[;;1] in K, where m is a 3d structure (actually a list of lists of lists).
		Another way is to look at (1-dimesional) arrays is like a partial function from integers to whatever the element type is. A more refined way would then be a total function from a subtype (usually contiguous, from what I know) of integers to the element type.
	lambda-the-ultimate.org /node/222 (3889 words)

	Py - The Online Python Zine
		Numeric array slicing has a third field to specify the “stride” between elements in a slice.
		Numeric’s “slices as references” behavior is sometimes questioned, and it does require some programming care to prevent unexpectedly overwriting data.
		Making a copy every time a slice is made would be computationally expensive and could lead to “out of memory” errors in cases where arrays fill most of the available memory.
	www.pyzine.com /Issue001/Section_Articles/article_SciPy.html (1585 words)

	Computer Science:Algorithms:Chapter 3 - Wikibooks, collection of open-content textbooks
		Because a is an array of n elements, we might want to start by breaking the array into two arrays of size n/2 elements.
		These smaller arrays will also be unsorted and it is meaningful to sort these smaller problems; thus we can consider these smaller arrays "similar".
		This works because the array starts out as a set of chunks length 1 which are "sorted." Each iteration through the array (using counting variable i) doubles the size of sorted chunks by merging adjacent chunks into sorter larger versions.
	en.wikibooks.org /wiki/Computer_Science:Algorithms:Chapter_3 (2101 words)

	Blitz++ User's Guide
		Array expressions in Blitz++ are implemented using the expression templates technique.
		A is a rank 3 tensor (a three dimensional array), B is a rank 2 tensor (a two dimensional array), and C is a rank 1 tensor (a one dimensional array).
		Reducing an N dimensional array (or array expression) to an N-1 dimensional array expression.
	mccammon.ucsd.edu /~oompaa/Oompaa/Blitz++/manual/arrays01.html (8374 words)

	[#BOO-173] Multi-dimensional arrays. - jira.codehaus.org
		My current rectangular array slicing considers "0:1" to mean "elements 0 through 1 inclusive" for each dimension.
		I think it's the "2" for the array rank being left around, as the type left on the stack is an Int32.
		Multi indexed accessors works, etc. The type references is implemented as "as (int,3)" meaning "an int array of rank 3" for now; I still don't know what the final verdict on this one is, but it's an easy change.
	jira.codehaus.org /browse/BOO-173 (1085 words)

	Arrays: New operator ';' for creating array slices - perl6:
		Furthermore, @first_5_odd_cols can be used to slice another matrix later, which may be of a different size.
		Because of the retraction of RFC 24, it is necessary to limit the use of whole-dimension slicing syntax to within a list index, since in that case a finite sized slice can be generated (since the bounds of the list are known).
		If the cartesian product is not being stored, but is only being used as an array index, generation of a simple stream of tokens may suffice, such as described in "RFC 231".
	dev.perl.org /perl6/rfc/205.html (740 words)

	SourceForge.net: Files
		This fixes a problem under certain compilers with the state of the user-defined functor being corrupted prior to evaluation of the Array expression.
		These have to be actual ints, or else the Array operator[] does not work properly.
		This fixes a problem reported by Masahiro Tatsumi in which one could not assign a double to an Array of TinyVectors of double without explicitly constructing a TinyVector of doubles on the right-hand side.
	sourceforge.net /project/shownotes.php?release_id=114580 (2714 words)

	Sierpinski Gasket
		The impression of the 3D object is obtained by imagining the contour curves stacked along the axis of slicing.
		The essence of the technique is that an N dimensional object is illustrated with a stack of N-1 dimensional objects.
		The same technique can be applied to 4 dimensional objects, they are sliced along the 4th dimensional axis except now the result is a number of 3D objects, these could be called contour solids.
	astronomy.swin.edu.au /~pbourke/fractals/gasket (2172 words)

	Slicing - BOO - Confluence
		A slicing operation is a simple way to extract a range of elements from a container.
		Support for user defined slicing operations is planned but currently not implemented.
		This is because the boo compiler cannot predict that you want to pass a collection to the method, and since the type Object is neither a collection or array, we got the error.
	docs.codehaus.org /display/BOO/Slicing (436 words)

	Algol-68 compiler
		Array slicing was not implemented because it would demand, in the general and most meaningful case, dynamic object allocations.
		Right now, it simply initializes the array header, which is two tetrabytes containing the size of the array in octabytes and its upper bound, so that, when an array is passed as a parameter, the function knows what these values are.
		So, in order to implement slicing as well as arrays whose size is not known at compile time, we must extend quad_alloc, so that it takes not only the array itself as an input, but also the symbol table entry which would hold the array size (or number of elements) at runtime.
	homepages.nyu.edu /~at570/compiler.html (3787 words)

	Blitz++ User's Guide (Site not responding. Last check: 2007-10-24)
		Arrays may be constructed from expressions, which are described in 3.
		This is different from some array packages in which the assignment operator makes the lhs a reference (or alias) to the rhs.
		The size of the array, for example "32" for a 1-dimensional array of 32 elements, "12 x 64 x 128" for a 3-dimensional array of size 12x64x128.
	www.oonumerics.org /blitz/manual/blitz02.html (6336 words)

	PERL Tutorial - Arrays
		Each element of the array can be indexed using a scalar version of the same array.
		When an array is defined, PERL automatically numbers each element in the array beginning with zero.
		Essentially, you send PERL an array to splice, then direct it to the starting element, count through how many elements to replace, and then fill in the missing elements with new information.
	www.tizag.com /perlT/perlarrays.php (1492 words)

	CS 85 PHP Programming - Arrays
		array - a collection of data values, organized as an ordered collection of key-value pairs
		to interpolate an array lookup in a multidimensional array, enclose in
		array arr2 = array_slice(array arr1, int offset, int length);
	home.earthlink.net /~kengeddes/cs85/lectureNotes/arrays.html (340 words)

	Re: array slicing ranges (D)
		There are two points to consider, namely semantics and syntax.
		> loop expression of traversing and array slice.
		> > > slicing operator should work, which is common to many languages.
	www.digitalmars.com /pnews/read.php?server=news.digitalmars.com&group=D&artnum=2180 (386 words)

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