| 
									
										
										
										
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										 |  |  | \section{\module{array} --- | 
					
						
							| 
									
										
										
										
											1999-04-21 16:38:53 +00:00
										 |  |  |          Efficient arrays of numeric values} | 
					
						
							| 
									
										
										
										
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										 |  |  | 
 | 
					
						
							| 
									
										
										
										
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										 |  |  | \declaremodule{builtin}{array} | 
					
						
							| 
									
										
										
										
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										 |  |  | \modulesynopsis{Efficient arrays of uniformly typed numeric values.} | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
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										 |  |  | 
 | 
					
						
							| 
									
										
										
										
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										 |  |  | This module defines an object type which can efficiently represent | 
					
						
							| 
									
										
										
										
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										 |  |  | an array of basic values: characters, integers, floating point | 
					
						
							| 
									
										
										
										
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										 |  |  | numbers.  Arrays\index{arrays} are sequence types and behave very much | 
					
						
							|  |  |  | like lists, except that the type of objects stored in them is | 
					
						
							|  |  |  | constrained.  The type is specified at object creation time by using a | 
					
						
							|  |  |  | \dfn{type code}, which is a single character.  The following type | 
					
						
							|  |  |  | codes are defined: | 
					
						
							| 
									
										
										
										
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										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											2002-04-01 23:05:10 +00:00
										 |  |  | \begin{tableiv}{c|l|l|c}{code}{Type code}{C Type}{Python Type}{Minimum size in bytes} | 
					
						
							|  |  |  |   \lineiv{'c'}{char}          {character}        {1} | 
					
						
							|  |  |  |   \lineiv{'b'}{signed char}   {int}              {1} | 
					
						
							|  |  |  |   \lineiv{'B'}{unsigned char} {int}              {1} | 
					
						
							|  |  |  |   \lineiv{'u'}{Py_UNICODE}    {Unicode character}{2} | 
					
						
							|  |  |  |   \lineiv{'h'}{signed short}  {int}              {2} | 
					
						
							|  |  |  |   \lineiv{'H'}{unsigned short}{int}              {2} | 
					
						
							|  |  |  |   \lineiv{'i'}{signed int}    {int}              {2} | 
					
						
							|  |  |  |   \lineiv{'I'}{unsigned int}  {long}             {2} | 
					
						
							|  |  |  |   \lineiv{'l'}{signed long}   {int}              {4} | 
					
						
							|  |  |  |   \lineiv{'L'}{unsigned long} {long}             {4} | 
					
						
							|  |  |  |   \lineiv{'f'}{float}         {float}            {4} | 
					
						
							|  |  |  |   \lineiv{'d'}{double}        {float}            {8} | 
					
						
							|  |  |  | \end{tableiv} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							|  |  |  | The actual representation of values is determined by the machine | 
					
						
							| 
									
										
										
										
											1999-04-21 16:38:53 +00:00
										 |  |  | architecture (strictly speaking, by the C implementation).  The actual | 
					
						
							| 
									
										
										
										
											1998-12-10 05:04:21 +00:00
										 |  |  | size can be accessed through the \member{itemsize} attribute.  The values | 
					
						
							| 
									
										
										
										
											1997-01-03 19:20:52 +00:00
										 |  |  | stored  for \code{'L'} and \code{'I'} items will be represented as | 
					
						
							|  |  |  | Python long integers when retrieved, because Python's plain integer | 
					
						
							| 
									
										
										
										
											1999-04-21 16:38:53 +00:00
										 |  |  | type cannot represent the full range of C's unsigned (long) integers. | 
					
						
							| 
									
										
										
										
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										 |  |  | 
 | 
					
						
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										 |  |  | 
 | 
					
						
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											2002-03-01 10:27:01 +00:00
										 |  |  | The module defines the following type: | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-03-17 06:33:25 +00:00
										 |  |  | \begin{funcdesc}{array}{typecode\optional{, initializer}} | 
					
						
							| 
									
										
										
										
											2002-03-01 10:27:01 +00:00
										 |  |  | Return a new array whose items are restricted by \var{typecode}, | 
					
						
							|  |  |  | and initialized from the optional \var{initializer} value, which | 
					
						
							|  |  |  | must be a list or a string.  The list or string is passed to the | 
					
						
							|  |  |  | new array's \method{fromlist()}, \method{fromstring()}, or | 
					
						
							|  |  |  | \method{fromunicode()} method (see below) to add initial items to | 
					
						
							|  |  |  | the array. | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | \end{funcdesc} | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{datadesc}{ArrayType} | 
					
						
							| 
									
										
										
										
											2002-03-01 10:27:01 +00:00
										 |  |  | Obsolete alias for \function{array}. | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \end{datadesc} | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											2002-03-01 10:27:01 +00:00
										 |  |  | Array objects support the ordinary sequence operations of | 
					
						
							| 
									
										
										
										
											2002-04-01 23:05:10 +00:00
										 |  |  | indexing, slicing, concatenation, and multiplication.  When using | 
					
						
							|  |  |  | slice assignment, the assigned value must be an array object with the | 
					
						
							|  |  |  | same type code; in all other cases, \exception{TypeError} is raised. | 
					
						
							|  |  |  | Array objects also implement the buffer interface, and may be used | 
					
						
							|  |  |  | wherever buffer objects are supported. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | The following data items and methods are also supported: | 
					
						
							| 
									
										
										
										
											1998-02-27 15:19:42 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{memberdesc}[array]{typecode} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | The typecode character used to create the array. | 
					
						
							| 
									
										
										
										
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										 |  |  | \end{memberdesc} | 
					
						
							| 
									
										
										
										
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										 |  |  | 
 | 
					
						
							| 
									
										
										
										
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										 |  |  | \begin{memberdesc}[array]{itemsize} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | The length in bytes of one array item in the internal representation. | 
					
						
							| 
									
										
										
										
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										 |  |  | \end{memberdesc} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-02-27 15:19:42 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{methoddesc}[array]{append}{x} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | Append a new item with value \var{x} to the end of the array. | 
					
						
							| 
									
										
										
										
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										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{methoddesc}[array]{buffer_info}{} | 
					
						
							| 
									
										
										
										
											1997-12-29 19:33:45 +00:00
										 |  |  | Return a tuple \code{(\var{address}, \var{length})} giving the current | 
					
						
							| 
									
										
										
										
											2001-08-01 16:50:49 +00:00
										 |  |  | memory address and the length in elements of the buffer used to hold | 
					
						
							|  |  |  | array's contents.  The size of the memory buffer in bytes can be | 
					
						
							|  |  |  | computed as \code{\var{array}.buffer_info()[1] * | 
					
						
							|  |  |  | \var{array}.itemsize}.  This is occasionally useful when working with | 
					
						
							| 
									
										
										
										
											1997-08-14 19:50:37 +00:00
										 |  |  | low-level (and inherently unsafe) I/O interfaces that require memory | 
					
						
							| 
									
										
										
										
											2001-08-01 16:50:49 +00:00
										 |  |  | addresses, such as certain \cfunction{ioctl()} operations.  The | 
					
						
							|  |  |  | returned numbers are valid as long as the array exists and no | 
					
						
							|  |  |  | length-changing operations are applied to it. | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2001-10-20 04:24:09 +00:00
										 |  |  | \note{When using array objects from code written in C or | 
					
						
							| 
									
										
										
										
											2001-08-01 16:50:49 +00:00
										 |  |  | \Cpp{} (the only way to effectively make use of this information), it | 
					
						
							|  |  |  | makes more sense to use the buffer interface supported by array | 
					
						
							|  |  |  | objects.  This method is maintained for backward compatibility and | 
					
						
							|  |  |  | should be avoided in new code.  The buffer interface is documented in | 
					
						
							| 
									
										
										
										
											2001-10-20 04:24:09 +00:00
										 |  |  | the \citetitle[../api/newTypes.html]{Python/C API Reference Manual}.} | 
					
						
							| 
									
										
										
										
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										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
											1997-08-14 19:50:37 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											2000-04-03 20:13:55 +00:00
										 |  |  | \begin{methoddesc}[array]{byteswap}{} | 
					
						
							| 
									
										
										
										
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										 |  |  | ``Byteswap'' all items of the array.  This is only supported for | 
					
						
							| 
									
										
										
										
											2000-04-03 20:13:55 +00:00
										 |  |  | values which are 1, 2, 4, or 8 bytes in size; for other types of | 
					
						
							|  |  |  | values, \exception{RuntimeError} is raised.  It is useful when reading | 
					
						
							|  |  |  | data from a file written on a machine with a different byte order. | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											2000-07-31 20:52:21 +00:00
										 |  |  | \begin{methoddesc}[array]{count}{x} | 
					
						
							|  |  |  | Return the number of occurences of \var{x} in the array. | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | \begin{methoddesc}[array]{extend}{a} | 
					
						
							| 
									
										
										
										
											2002-04-01 23:05:10 +00:00
										 |  |  | Append array items from \var{a} to the end of the array.  The two | 
					
						
							|  |  |  | arrays must have \emph{exactly} the same type code; if not, | 
					
						
							|  |  |  | \exception{TypeError} will be raised. | 
					
						
							| 
									
										
										
										
											2000-07-31 20:52:21 +00:00
										 |  |  | \end{methoddesc} | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{methoddesc}[array]{fromfile}{f, n} | 
					
						
							| 
									
										
										
										
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										 |  |  | Read \var{n} items (as machine values) from the file object \var{f} | 
					
						
							|  |  |  | and append them to the end of the array.  If less than \var{n} items | 
					
						
							| 
									
										
										
										
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										 |  |  | are available, \exception{EOFError} is raised, but the items that were | 
					
						
							| 
									
										
										
										
											1995-03-17 16:07:09 +00:00
										 |  |  | available are still inserted into the array.  \var{f} must be a real | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | built-in file object; something else with a \method{read()} method won't | 
					
						
							| 
									
										
										
										
											1995-03-17 16:07:09 +00:00
										 |  |  | do. | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{methoddesc}[array]{fromlist}{list} | 
					
						
							| 
									
										
										
										
											1995-03-07 10:14:09 +00:00
										 |  |  | Append items from the list.  This is equivalent to | 
					
						
							| 
									
										
										
										
											1998-02-27 15:19:42 +00:00
										 |  |  | \samp{for x in \var{list}:\ a.append(x)} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | except that if there is a type error, the array is unchanged. | 
					
						
							| 
									
										
										
										
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										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{methoddesc}[array]{fromstring}{s} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | Appends items from the string, interpreting the string as an | 
					
						
							| 
									
										
										
										
											2001-07-06 19:28:48 +00:00
										 |  |  | array of machine values (as if it had been read from a | 
					
						
							| 
									
										
										
										
											1998-02-27 15:19:42 +00:00
										 |  |  | file using the \method{fromfile()} method). | 
					
						
							| 
									
										
										
										
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										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
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										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											2002-03-01 10:27:01 +00:00
										 |  |  | \begin{methoddesc}[array]{fromunicode}{s} | 
					
						
							|  |  |  | Extends this array with data from the given unicode string. | 
					
						
							|  |  |  | The array must be a type 'u' array; otherwise a ValueError | 
					
						
							|  |  |  | is raised.  Use \samp{array.fromstring(ustr.decode(enc))} to | 
					
						
							|  |  |  | append Unicode data to an array of some other type. | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2000-07-31 20:52:21 +00:00
										 |  |  | \begin{methoddesc}[array]{index}{x} | 
					
						
							|  |  |  | Return the smallest \var{i} such that \var{i} is the index of | 
					
						
							|  |  |  | the first occurence of \var{x} in the array. | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
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										 |  |  | \begin{methoddesc}[array]{insert}{i, x} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | Insert a new item with value \var{x} in the array before position | 
					
						
							|  |  |  | \var{i}. | 
					
						
							| 
									
										
										
										
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										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
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										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											2000-07-31 20:52:21 +00:00
										 |  |  | \begin{methoddesc}[array]{pop}{\optional{i}} | 
					
						
							|  |  |  | Removes the item with the index \var{i} from the array and returns | 
					
						
							|  |  |  | it. The optional argument defaults to \code{-1}, so that by default | 
					
						
							| 
									
										
										
										
											2002-03-01 10:27:01 +00:00
										 |  |  | the last item is removed and returned. | 
					
						
							| 
									
										
										
										
											2000-07-31 20:52:21 +00:00
										 |  |  | \end{methoddesc} | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{methoddesc}[array]{read}{f, n} | 
					
						
							| 
									
										
										
										
											1998-02-27 16:21:31 +00:00
										 |  |  | \deprecated {1.5.1} | 
					
						
							|  |  |  |   {Use the \method{fromfile()} method.} | 
					
						
							| 
									
										
										
										
											1998-02-27 15:19:42 +00:00
										 |  |  | Read \var{n} items (as machine values) from the file object \var{f} | 
					
						
							|  |  |  | and append them to the end of the array.  If less than \var{n} items | 
					
						
							|  |  |  | are available, \exception{EOFError} is raised, but the items that were | 
					
						
							|  |  |  | available are still inserted into the array.  \var{f} must be a real | 
					
						
							|  |  |  | built-in file object; something else with a \method{read()} method won't | 
					
						
							|  |  |  | do. | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
											1998-02-27 15:19:42 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											2000-07-31 20:52:21 +00:00
										 |  |  | \begin{methoddesc}[array]{remove}{x} | 
					
						
							|  |  |  | Remove the first occurence of \var{x} from the array. | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{methoddesc}[array]{reverse}{} | 
					
						
							| 
									
										
										
										
											1998-02-27 15:19:42 +00:00
										 |  |  | Reverse the order of the items in the array. | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
											1998-02-27 15:19:42 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{methoddesc}[array]{tofile}{f} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | Write all items (as machine values) to the file object \var{f}. | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{methoddesc}[array]{tolist}{} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | Convert the array to an ordinary list with the same items. | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \begin{methoddesc}[array]{tostring}{} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | Convert the array to an array of machine values and return the | 
					
						
							|  |  |  | string representation (the same sequence of bytes that would | 
					
						
							| 
									
										
										
										
											1998-02-27 15:19:42 +00:00
										 |  |  | be written to a file by the \method{tofile()} method.) | 
					
						
							| 
									
										
										
										
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										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
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										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											2002-03-01 10:27:01 +00:00
										 |  |  | \begin{methoddesc}[array]{tounicode}{} | 
					
						
							|  |  |  | Convert the array to a unicode string.  The array must be | 
					
						
							|  |  |  | a type 'u' array; otherwise a ValueError is raised.  Use | 
					
						
							|  |  |  | array.tostring().decode(enc) to obtain a unicode string | 
					
						
							|  |  |  | from an array of some other type. | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
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										 |  |  | \begin{methoddesc}[array]{write}{f} | 
					
						
							| 
									
										
										
										
											1998-02-27 16:21:31 +00:00
										 |  |  | \deprecated {1.5.1} | 
					
						
							|  |  |  |   {Use the \method{tofile()} method.} | 
					
						
							| 
									
										
										
										
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										 |  |  | Write all items (as machine values) to the file object \var{f}. | 
					
						
							| 
									
										
										
										
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										 |  |  | \end{methoddesc} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							|  |  |  | When an array object is printed or converted to a string, it is | 
					
						
							|  |  |  | represented as \code{array(\var{typecode}, \var{initializer})}.  The | 
					
						
							|  |  |  | \var{initializer} is omitted if the array is empty, otherwise it is a | 
					
						
							|  |  |  | string if the \var{typecode} is \code{'c'}, otherwise it is a list of | 
					
						
							|  |  |  | numbers.  The string is guaranteed to be able to be converted back to | 
					
						
							|  |  |  | an array with the same type and value using reverse quotes | 
					
						
							| 
									
										
										
										
											2000-04-03 20:13:55 +00:00
										 |  |  | (\code{``}), so long as the \function{array()} function has been | 
					
						
							| 
									
										
										
										
											2001-08-01 16:50:49 +00:00
										 |  |  | imported using \code{from array import array}.  Examples: | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											1998-02-13 06:58:54 +00:00
										 |  |  | \begin{verbatim} | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | array('l') | 
					
						
							|  |  |  | array('c', 'hello world') | 
					
						
							| 
									
										
										
										
											2002-03-01 10:27:01 +00:00
										 |  |  | array('u', u'hello \textbackslash u2641') | 
					
						
							| 
									
										
										
										
											1994-01-02 01:22:07 +00:00
										 |  |  | array('l', [1, 2, 3, 4, 5]) | 
					
						
							|  |  |  | array('d', [1.0, 2.0, 3.14]) | 
					
						
							| 
									
										
										
										
											1998-02-13 06:58:54 +00:00
										 |  |  | \end{verbatim} | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | 
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | \begin{seealso} | 
					
						
							| 
									
										
										
										
											2000-10-18 17:43:06 +00:00
										 |  |  |   \seemodule{struct}{Packing and unpacking of heterogeneous binary data.} | 
					
						
							|  |  |  |   \seemodule{xdrlib}{Packing and unpacking of External Data | 
					
						
							|  |  |  |                      Representation (XDR) data as used in some remote | 
					
						
							|  |  |  |                      procedure call systems.} | 
					
						
							| 
									
										
										
										
											2002-04-04 14:02:45 +00:00
										 |  |  |   \seetitle[http://numpy.sourceforge.net/numdoc/HTML/numdoc.htm]{The | 
					
						
							| 
									
										
										
										
											2000-10-17 04:58:01 +00:00
										 |  |  |            Numerical Python Manual}{The Numeric Python extension | 
					
						
							|  |  |  |            (NumPy) defines another array type; see | 
					
						
							|  |  |  |            \url{http://numpy.sourceforge.net/} for further information | 
					
						
							| 
									
										
										
										
											2000-12-11 20:57:13 +00:00
										 |  |  |            about Numerical Python.  (A PDF version of the NumPy manual | 
					
						
							|  |  |  |            is available at | 
					
						
							|  |  |  |            \url{http://numpy.sourceforge.net/numdoc/numdoc.pdf}.} | 
					
						
							| 
									
										
										
										
											1998-04-03 03:35:24 +00:00
										 |  |  | \end{seealso} |