| \chapter{Introduction \label{intro}} |
| |
| |
| The Application Programmer's Interface to Python gives C and |
| \Cpp{} programmers access to the Python interpreter at a variety of |
| levels. The API is equally usable from \Cpp, but for brevity it is |
| generally referred to as the Python/C API. There are two |
| fundamentally different reasons for using the Python/C API. The first |
| reason is to write \emph{extension modules} for specific purposes; |
| these are C modules that extend the Python interpreter. This is |
| probably the most common use. The second reason is to use Python as a |
| component in a larger application; this technique is generally |
| referred to as \dfn{embedding} Python in an application. |
| |
| Writing an extension module is a relatively well-understood process, |
| where a ``cookbook'' approach works well. There are several tools |
| that automate the process to some extent. While people have embedded |
| Python in other applications since its early existence, the process of |
| embedding Python is less straightforward than writing an extension. |
| |
| Many API functions are useful independent of whether you're embedding |
| or extending Python; moreover, most applications that embed Python |
| will need to provide a custom extension as well, so it's probably a |
| good idea to become familiar with writing an extension before |
| attempting to embed Python in a real application. |
| |
| |
| \section{Include Files \label{includes}} |
| |
| All function, type and macro definitions needed to use the Python/C |
| API are included in your code by the following line: |
| |
| \begin{verbatim} |
| #include "Python.h" |
| \end{verbatim} |
| |
| This implies inclusion of the following standard headers: |
| \code{<stdio.h>}, \code{<string.h>}, \code{<errno.h>}, |
| \code{<limits.h>}, and \code{<stdlib.h>} (if available). |
| |
| \begin{notice}[warning] |
| Since Python may define some pre-processor definitions which affect |
| the standard headers on some systems, you \emph{must} include |
| \file{Python.h} before any standard headers are included. |
| \end{notice} |
| |
| All user visible names defined by Python.h (except those defined by |
| the included standard headers) have one of the prefixes \samp{Py} or |
| \samp{_Py}. Names beginning with \samp{_Py} are for internal use by |
| the Python implementation and should not be used by extension writers. |
| Structure member names do not have a reserved prefix. |
| |
| \strong{Important:} user code should never define names that begin |
| with \samp{Py} or \samp{_Py}. This confuses the reader, and |
| jeopardizes the portability of the user code to future Python |
| versions, which may define additional names beginning with one of |
| these prefixes. |
| |
| The header files are typically installed with Python. On \UNIX, these |
| are located in the directories |
| \file{\envvar{prefix}/include/python\var{version}/} and |
| \file{\envvar{exec_prefix}/include/python\var{version}/}, where |
| \envvar{prefix} and \envvar{exec_prefix} are defined by the |
| corresponding parameters to Python's \program{configure} script and |
| \var{version} is \code{sys.version[:3]}. On Windows, the headers are |
| installed in \file{\envvar{prefix}/include}, where \envvar{prefix} is |
| the installation directory specified to the installer. |
| |
| To include the headers, place both directories (if different) on your |
| compiler's search path for includes. Do \emph{not} place the parent |
| directories on the search path and then use |
| \samp{\#include <python\shortversion/Python.h>}; this will break on |
| multi-platform builds since the platform independent headers under |
| \envvar{prefix} include the platform specific headers from |
| \envvar{exec_prefix}. |
| |
| \Cpp{} users should note that though the API is defined entirely using |
| C, the header files do properly declare the entry points to be |
| \code{extern "C"}, so there is no need to do anything special to use |
| the API from \Cpp. |
| |
| |
| \section{Objects, Types and Reference Counts \label{objects}} |
| |
| Most Python/C API functions have one or more arguments as well as a |
| return value of type \ctype{PyObject*}. This type is a pointer |
| to an opaque data type representing an arbitrary Python |
| object. Since all Python object types are treated the same way by the |
| Python language in most situations (e.g., assignments, scope rules, |
| and argument passing), it is only fitting that they should be |
| represented by a single C type. Almost all Python objects live on the |
| heap: you never declare an automatic or static variable of type |
| \ctype{PyObject}, only pointer variables of type \ctype{PyObject*} can |
| be declared. The sole exception are the type objects\obindex{type}; |
| since these must never be deallocated, they are typically static |
| \ctype{PyTypeObject} objects. |
| |
| All Python objects (even Python integers) have a \dfn{type} and a |
| \dfn{reference count}. An object's type determines what kind of object |
| it is (e.g., an integer, a list, or a user-defined function; there are |
| many more as explained in the \citetitle[../ref/ref.html]{Python |
| Reference Manual}). For each of the well-known types there is a macro |
| to check whether an object is of that type; for instance, |
| \samp{PyList_Check(\var{a})} is true if (and only if) the object |
| pointed to by \var{a} is a Python list. |
| |
| |
| \subsection{Reference Counts \label{refcounts}} |
| |
| The reference count is important because today's computers have a |
| finite (and often severely limited) memory size; it counts how many |
| different places there are that have a reference to an object. Such a |
| place could be another object, or a global (or static) C variable, or |
| a local variable in some C function. When an object's reference count |
| becomes zero, the object is deallocated. If it contains references to |
| other objects, their reference count is decremented. Those other |
| objects may be deallocated in turn, if this decrement makes their |
| reference count become zero, and so on. (There's an obvious problem |
| with objects that reference each other here; for now, the solution is |
| ``don't do that.'') |
| |
| Reference counts are always manipulated explicitly. The normal way is |
| to use the macro \cfunction{Py_INCREF()}\ttindex{Py_INCREF()} to |
| increment an object's reference count by one, and |
| \cfunction{Py_DECREF()}\ttindex{Py_DECREF()} to decrement it by |
| one. The \cfunction{Py_DECREF()} macro is considerably more complex |
| than the incref one, since it must check whether the reference count |
| becomes zero and then cause the object's deallocator to be called. |
| The deallocator is a function pointer contained in the object's type |
| structure. The type-specific deallocator takes care of decrementing |
| the reference counts for other objects contained in the object if this |
| is a compound object type, such as a list, as well as performing any |
| additional finalization that's needed. There's no chance that the |
| reference count can overflow; at least as many bits are used to hold |
| the reference count as there are distinct memory locations in virtual |
| memory (assuming \code{sizeof(long) >= sizeof(char*)}). Thus, the |
| reference count increment is a simple operation. |
| |
| It is not necessary to increment an object's reference count for every |
| local variable that contains a pointer to an object. In theory, the |
| object's reference count goes up by one when the variable is made to |
| point to it and it goes down by one when the variable goes out of |
| scope. However, these two cancel each other out, so at the end the |
| reference count hasn't changed. The only real reason to use the |
| reference count is to prevent the object from being deallocated as |
| long as our variable is pointing to it. If we know that there is at |
| least one other reference to the object that lives at least as long as |
| our variable, there is no need to increment the reference count |
| temporarily. An important situation where this arises is in objects |
| that are passed as arguments to C functions in an extension module |
| that are called from Python; the call mechanism guarantees to hold a |
| reference to every argument for the duration of the call. |
| |
| However, a common pitfall is to extract an object from a list and |
| hold on to it for a while without incrementing its reference count. |
| Some other operation might conceivably remove the object from the |
| list, decrementing its reference count and possible deallocating it. |
| The real danger is that innocent-looking operations may invoke |
| arbitrary Python code which could do this; there is a code path which |
| allows control to flow back to the user from a \cfunction{Py_DECREF()}, |
| so almost any operation is potentially dangerous. |
| |
| A safe approach is to always use the generic operations (functions |
| whose name begins with \samp{PyObject_}, \samp{PyNumber_}, |
| \samp{PySequence_} or \samp{PyMapping_}). These operations always |
| increment the reference count of the object they return. This leaves |
| the caller with the responsibility to call |
| \cfunction{Py_DECREF()} when they are done with the result; this soon |
| becomes second nature. |
| |
| |
| \subsubsection{Reference Count Details \label{refcountDetails}} |
| |
| The reference count behavior of functions in the Python/C API is best |
| explained in terms of \emph{ownership of references}. Ownership |
| pertains to references, never to objects (objects are not owned: they |
| are always shared). "Owning a reference" means being responsible for |
| calling Py_DECREF on it when the reference is no longer needed. |
| Ownership can also be transferred, meaning that the code that receives |
| ownership of the reference then becomes responsible for eventually |
| decref'ing it by calling \cfunction{Py_DECREF()} or |
| \cfunction{Py_XDECREF()} when it's no longer needed --or passing on |
| this responsibility (usually to its caller). |
| When a function passes ownership of a reference on to its caller, the |
| caller is said to receive a \emph{new} reference. When no ownership |
| is transferred, the caller is said to \emph{borrow} the reference. |
| Nothing needs to be done for a borrowed reference. |
| |
| Conversely, when a calling function passes it a reference to an |
| object, there are two possibilities: the function \emph{steals} a |
| reference to the object, or it does not. Few functions steal |
| references; the two notable exceptions are |
| \cfunction{PyList_SetItem()}\ttindex{PyList_SetItem()} and |
| \cfunction{PyTuple_SetItem()}\ttindex{PyTuple_SetItem()}, which |
| steal a reference to the item (but not to the tuple or list into which |
| the item is put!). These functions were designed to steal a reference |
| because of a common idiom for populating a tuple or list with newly |
| created objects; for example, the code to create the tuple \code{(1, |
| 2, "three")} could look like this (forgetting about error handling for |
| the moment; a better way to code this is shown below): |
| |
| \begin{verbatim} |
| PyObject *t; |
| |
| t = PyTuple_New(3); |
| PyTuple_SetItem(t, 0, PyInt_FromLong(1L)); |
| PyTuple_SetItem(t, 1, PyInt_FromLong(2L)); |
| PyTuple_SetItem(t, 2, PyString_FromString("three")); |
| \end{verbatim} |
| |
| Incidentally, \cfunction{PyTuple_SetItem()} is the \emph{only} way to |
| set tuple items; \cfunction{PySequence_SetItem()} and |
| \cfunction{PyObject_SetItem()} refuse to do this since tuples are an |
| immutable data type. You should only use |
| \cfunction{PyTuple_SetItem()} for tuples that you are creating |
| yourself. |
| |
| Equivalent code for populating a list can be written using |
| \cfunction{PyList_New()} and \cfunction{PyList_SetItem()}. Such code |
| can also use \cfunction{PySequence_SetItem()}; this illustrates the |
| difference between the two (the extra \cfunction{Py_DECREF()} calls): |
| |
| \begin{verbatim} |
| PyObject *l, *x; |
| |
| l = PyList_New(3); |
| x = PyInt_FromLong(1L); |
| PySequence_SetItem(l, 0, x); Py_DECREF(x); |
| x = PyInt_FromLong(2L); |
| PySequence_SetItem(l, 1, x); Py_DECREF(x); |
| x = PyString_FromString("three"); |
| PySequence_SetItem(l, 2, x); Py_DECREF(x); |
| \end{verbatim} |
| |
| You might find it strange that the ``recommended'' approach takes more |
| code. However, in practice, you will rarely use these ways of |
| creating and populating a tuple or list. There's a generic function, |
| \cfunction{Py_BuildValue()}, that can create most common objects from |
| C values, directed by a \dfn{format string}. For example, the |
| above two blocks of code could be replaced by the following (which |
| also takes care of the error checking): |
| |
| \begin{verbatim} |
| PyObject *t, *l; |
| |
| t = Py_BuildValue("(iis)", 1, 2, "three"); |
| l = Py_BuildValue("[iis]", 1, 2, "three"); |
| \end{verbatim} |
| |
| It is much more common to use \cfunction{PyObject_SetItem()} and |
| friends with items whose references you are only borrowing, like |
| arguments that were passed in to the function you are writing. In |
| that case, their behaviour regarding reference counts is much saner, |
| since you don't have to increment a reference count so you can give a |
| reference away (``have it be stolen''). For example, this function |
| sets all items of a list (actually, any mutable sequence) to a given |
| item: |
| |
| \begin{verbatim} |
| int |
| set_all(PyObject *target, PyObject *item) |
| { |
| int i, n; |
| |
| n = PyObject_Length(target); |
| if (n < 0) |
| return -1; |
| for (i = 0; i < n; i++) { |
| if (PyObject_SetItem(target, i, item) < 0) |
| return -1; |
| } |
| return 0; |
| } |
| \end{verbatim} |
| \ttindex{set_all()} |
| |
| The situation is slightly different for function return values. |
| While passing a reference to most functions does not change your |
| ownership responsibilities for that reference, many functions that |
| return a reference to an object give you ownership of the reference. |
| The reason is simple: in many cases, the returned object is created |
| on the fly, and the reference you get is the only reference to the |
| object. Therefore, the generic functions that return object |
| references, like \cfunction{PyObject_GetItem()} and |
| \cfunction{PySequence_GetItem()}, always return a new reference (the |
| caller becomes the owner of the reference). |
| |
| It is important to realize that whether you own a reference returned |
| by a function depends on which function you call only --- \emph{the |
| plumage} (the type of the object passed as an |
| argument to the function) \emph{doesn't enter into it!} Thus, if you |
| extract an item from a list using \cfunction{PyList_GetItem()}, you |
| don't own the reference --- but if you obtain the same item from the |
| same list using \cfunction{PySequence_GetItem()} (which happens to |
| take exactly the same arguments), you do own a reference to the |
| returned object. |
| |
| Here is an example of how you could write a function that computes the |
| sum of the items in a list of integers; once using |
| \cfunction{PyList_GetItem()}\ttindex{PyList_GetItem()}, and once using |
| \cfunction{PySequence_GetItem()}\ttindex{PySequence_GetItem()}. |
| |
| \begin{verbatim} |
| long |
| sum_list(PyObject *list) |
| { |
| int i, n; |
| long total = 0; |
| PyObject *item; |
| |
| n = PyList_Size(list); |
| if (n < 0) |
| return -1; /* Not a list */ |
| for (i = 0; i < n; i++) { |
| item = PyList_GetItem(list, i); /* Can't fail */ |
| if (!PyInt_Check(item)) continue; /* Skip non-integers */ |
| total += PyInt_AsLong(item); |
| } |
| return total; |
| } |
| \end{verbatim} |
| \ttindex{sum_list()} |
| |
| \begin{verbatim} |
| long |
| sum_sequence(PyObject *sequence) |
| { |
| int i, n; |
| long total = 0; |
| PyObject *item; |
| n = PySequence_Length(sequence); |
| if (n < 0) |
| return -1; /* Has no length */ |
| for (i = 0; i < n; i++) { |
| item = PySequence_GetItem(sequence, i); |
| if (item == NULL) |
| return -1; /* Not a sequence, or other failure */ |
| if (PyInt_Check(item)) |
| total += PyInt_AsLong(item); |
| Py_DECREF(item); /* Discard reference ownership */ |
| } |
| return total; |
| } |
| \end{verbatim} |
| \ttindex{sum_sequence()} |
| |
| |
| \subsection{Types \label{types}} |
| |
| There are few other data types that play a significant role in |
| the Python/C API; most are simple C types such as \ctype{int}, |
| \ctype{long}, \ctype{double} and \ctype{char*}. A few structure types |
| are used to describe static tables used to list the functions exported |
| by a module or the data attributes of a new object type, and another |
| is used to describe the value of a complex number. These will |
| be discussed together with the functions that use them. |
| |
| |
| \section{Exceptions \label{exceptions}} |
| |
| The Python programmer only needs to deal with exceptions if specific |
| error handling is required; unhandled exceptions are automatically |
| propagated to the caller, then to the caller's caller, and so on, until |
| they reach the top-level interpreter, where they are reported to the |
| user accompanied by a stack traceback. |
| |
| For C programmers, however, error checking always has to be explicit. |
| All functions in the Python/C API can raise exceptions, unless an |
| explicit claim is made otherwise in a function's documentation. In |
| general, when a function encounters an error, it sets an exception, |
| discards any object references that it owns, and returns an |
| error indicator --- usually \NULL{} or \code{-1}. A few functions |
| return a Boolean true/false result, with false indicating an error. |
| Very few functions return no explicit error indicator or have an |
| ambiguous return value, and require explicit testing for errors with |
| \cfunction{PyErr_Occurred()}\ttindex{PyErr_Occurred()}. |
| |
| Exception state is maintained in per-thread storage (this is |
| equivalent to using global storage in an unthreaded application). A |
| thread can be in one of two states: an exception has occurred, or not. |
| The function \cfunction{PyErr_Occurred()} can be used to check for |
| this: it returns a borrowed reference to the exception type object |
| when an exception has occurred, and \NULL{} otherwise. There are a |
| number of functions to set the exception state: |
| \cfunction{PyErr_SetString()}\ttindex{PyErr_SetString()} is the most |
| common (though not the most general) function to set the exception |
| state, and \cfunction{PyErr_Clear()}\ttindex{PyErr_Clear()} clears the |
| exception state. |
| |
| The full exception state consists of three objects (all of which can |
| be \NULL): the exception type, the corresponding exception |
| value, and the traceback. These have the same meanings as the Python |
| \withsubitem{(in module sys)}{ |
| \ttindex{exc_type}\ttindex{exc_value}\ttindex{exc_traceback}} |
| objects \code{sys.exc_type}, \code{sys.exc_value}, and |
| \code{sys.exc_traceback}; however, they are not the same: the Python |
| objects represent the last exception being handled by a Python |
| \keyword{try} \ldots\ \keyword{except} statement, while the C level |
| exception state only exists while an exception is being passed on |
| between C functions until it reaches the Python bytecode interpreter's |
| main loop, which takes care of transferring it to \code{sys.exc_type} |
| and friends. |
| |
| Note that starting with Python 1.5, the preferred, thread-safe way to |
| access the exception state from Python code is to call the function |
| \withsubitem{(in module sys)}{\ttindex{exc_info()}} |
| \function{sys.exc_info()}, which returns the per-thread exception state |
| for Python code. Also, the semantics of both ways to access the |
| exception state have changed so that a function which catches an |
| exception will save and restore its thread's exception state so as to |
| preserve the exception state of its caller. This prevents common bugs |
| in exception handling code caused by an innocent-looking function |
| overwriting the exception being handled; it also reduces the often |
| unwanted lifetime extension for objects that are referenced by the |
| stack frames in the traceback. |
| |
| As a general principle, a function that calls another function to |
| perform some task should check whether the called function raised an |
| exception, and if so, pass the exception state on to its caller. It |
| should discard any object references that it owns, and return an |
| error indicator, but it should \emph{not} set another exception --- |
| that would overwrite the exception that was just raised, and lose |
| important information about the exact cause of the error. |
| |
| A simple example of detecting exceptions and passing them on is shown |
| in the \cfunction{sum_sequence()}\ttindex{sum_sequence()} example |
| above. It so happens that that example doesn't need to clean up any |
| owned references when it detects an error. The following example |
| function shows some error cleanup. First, to remind you why you like |
| Python, we show the equivalent Python code: |
| |
| \begin{verbatim} |
| def incr_item(dict, key): |
| try: |
| item = dict[key] |
| except KeyError: |
| item = 0 |
| dict[key] = item + 1 |
| \end{verbatim} |
| \ttindex{incr_item()} |
| |
| Here is the corresponding C code, in all its glory: |
| |
| \begin{verbatim} |
| int |
| incr_item(PyObject *dict, PyObject *key) |
| { |
| /* Objects all initialized to NULL for Py_XDECREF */ |
| PyObject *item = NULL, *const_one = NULL, *incremented_item = NULL; |
| int rv = -1; /* Return value initialized to -1 (failure) */ |
| |
| item = PyObject_GetItem(dict, key); |
| if (item == NULL) { |
| /* Handle KeyError only: */ |
| if (!PyErr_ExceptionMatches(PyExc_KeyError)) |
| goto error; |
| |
| /* Clear the error and use zero: */ |
| PyErr_Clear(); |
| item = PyInt_FromLong(0L); |
| if (item == NULL) |
| goto error; |
| } |
| const_one = PyInt_FromLong(1L); |
| if (const_one == NULL) |
| goto error; |
| |
| incremented_item = PyNumber_Add(item, const_one); |
| if (incremented_item == NULL) |
| goto error; |
| |
| if (PyObject_SetItem(dict, key, incremented_item) < 0) |
| goto error; |
| rv = 0; /* Success */ |
| /* Continue with cleanup code */ |
| |
| error: |
| /* Cleanup code, shared by success and failure path */ |
| |
| /* Use Py_XDECREF() to ignore NULL references */ |
| Py_XDECREF(item); |
| Py_XDECREF(const_one); |
| Py_XDECREF(incremented_item); |
| |
| return rv; /* -1 for error, 0 for success */ |
| } |
| \end{verbatim} |
| \ttindex{incr_item()} |
| |
| This example represents an endorsed use of the \keyword{goto} statement |
| in C! It illustrates the use of |
| \cfunction{PyErr_ExceptionMatches()}\ttindex{PyErr_ExceptionMatches()} and |
| \cfunction{PyErr_Clear()}\ttindex{PyErr_Clear()} to |
| handle specific exceptions, and the use of |
| \cfunction{Py_XDECREF()}\ttindex{Py_XDECREF()} to |
| dispose of owned references that may be \NULL{} (note the |
| \character{X} in the name; \cfunction{Py_DECREF()} would crash when |
| confronted with a \NULL{} reference). It is important that the |
| variables used to hold owned references are initialized to \NULL{} for |
| this to work; likewise, the proposed return value is initialized to |
| \code{-1} (failure) and only set to success after the final call made |
| is successful. |
| |
| |
| \section{Embedding Python \label{embedding}} |
| |
| The one important task that only embedders (as opposed to extension |
| writers) of the Python interpreter have to worry about is the |
| initialization, and possibly the finalization, of the Python |
| interpreter. Most functionality of the interpreter can only be used |
| after the interpreter has been initialized. |
| |
| The basic initialization function is |
| \cfunction{Py_Initialize()}\ttindex{Py_Initialize()}. |
| This initializes the table of loaded modules, and creates the |
| fundamental modules \module{__builtin__}\refbimodindex{__builtin__}, |
| \module{__main__}\refbimodindex{__main__}, \module{sys}\refbimodindex{sys}, |
| and \module{exceptions}.\refbimodindex{exceptions} It also initializes |
| the module search path (\code{sys.path}).% |
| \indexiii{module}{search}{path} |
| \withsubitem{(in module sys)}{\ttindex{path}} |
| |
| \cfunction{Py_Initialize()} does not set the ``script argument list'' |
| (\code{sys.argv}). If this variable is needed by Python code that |
| will be executed later, it must be set explicitly with a call to |
| \code{PySys_SetArgv(\var{argc}, |
| \var{argv})}\ttindex{PySys_SetArgv()} subsequent to the call to |
| \cfunction{Py_Initialize()}. |
| |
| On most systems (in particular, on \UNIX{} and Windows, although the |
| details are slightly different), |
| \cfunction{Py_Initialize()} calculates the module search path based |
| upon its best guess for the location of the standard Python |
| interpreter executable, assuming that the Python library is found in a |
| fixed location relative to the Python interpreter executable. In |
| particular, it looks for a directory named |
| \file{lib/python\shortversion} relative to the parent directory where |
| the executable named \file{python} is found on the shell command |
| search path (the environment variable \envvar{PATH}). |
| |
| For instance, if the Python executable is found in |
| \file{/usr/local/bin/python}, it will assume that the libraries are in |
| \file{/usr/local/lib/python\shortversion}. (In fact, this particular path |
| is also the ``fallback'' location, used when no executable file named |
| \file{python} is found along \envvar{PATH}.) The user can override |
| this behavior by setting the environment variable \envvar{PYTHONHOME}, |
| or insert additional directories in front of the standard path by |
| setting \envvar{PYTHONPATH}. |
| |
| The embedding application can steer the search by calling |
| \code{Py_SetProgramName(\var{file})}\ttindex{Py_SetProgramName()} \emph{before} calling |
| \cfunction{Py_Initialize()}. Note that \envvar{PYTHONHOME} still |
| overrides this and \envvar{PYTHONPATH} is still inserted in front of |
| the standard path. An application that requires total control has to |
| provide its own implementation of |
| \cfunction{Py_GetPath()}\ttindex{Py_GetPath()}, |
| \cfunction{Py_GetPrefix()}\ttindex{Py_GetPrefix()}, |
| \cfunction{Py_GetExecPrefix()}\ttindex{Py_GetExecPrefix()}, and |
| \cfunction{Py_GetProgramFullPath()}\ttindex{Py_GetProgramFullPath()} (all |
| defined in \file{Modules/getpath.c}). |
| |
| Sometimes, it is desirable to ``uninitialize'' Python. For instance, |
| the application may want to start over (make another call to |
| \cfunction{Py_Initialize()}) or the application is simply done with its |
| use of Python and wants to free all memory allocated by Python. This |
| can be accomplished by calling \cfunction{Py_Finalize()}. The function |
| \cfunction{Py_IsInitialized()}\ttindex{Py_IsInitialized()} returns |
| true if Python is currently in the initialized state. More |
| information about these functions is given in a later chapter. |