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authorAndy Belle-Isle <drumsetmonkey@gmail.com>2019-08-30 00:19:31 -0400
committerAndy Belle-Isle <drumsetmonkey@gmail.com>2019-08-30 00:19:31 -0400
commitbd3fe0cac583739bc0d7c4b5c8f301bb350abca0 (patch)
tree7eeb1aabcebd6999de1c3457d0882246ec0ff4d4 /lib/LuaJIT/doc/ext_ffi_api.html
parent2662ac356ce14dacfbc91689fd37244facff4989 (diff)
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-<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">
-<html>
-<head>
-<title>ffi.* API Functions</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="Copyright" content="Copyright (C) 2005-2018">
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-<body>
-<div id="site">
-<a href="http://luajit.org"><span>Lua<span id="logo">JIT</span></span></a>
-</div>
-<div id="head">
-<h1><tt>ffi.*</tt> API Functions</h1>
-</div>
-<div id="nav">
-<ul><li>
-<a href="luajit.html">LuaJIT</a>
-<ul><li>
-<a href="http://luajit.org/download.html">Download <span class="ext">&raquo;</span></a>
-</li><li>
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-</li></ul>
-</li><li>
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-<a href="ext_ffi.html">FFI Library</a>
-<ul><li>
-<a href="ext_ffi_tutorial.html">FFI Tutorial</a>
-</li><li>
-<a class="current" href="ext_ffi_api.html">ffi.* API</a>
-</li><li>
-<a href="ext_ffi_semantics.html">FFI Semantics</a>
-</li></ul>
-</li><li>
-<a href="ext_jit.html">jit.* Library</a>
-</li><li>
-<a href="ext_c_api.html">Lua/C API</a>
-</li><li>
-<a href="ext_profiler.html">Profiler</a>
-</li></ul>
-</li><li>
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-<ul><li>
-<a href="changes.html">Changes</a>
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-</li><li>
-<a href="faq.html">FAQ</a>
-</li><li>
-<a href="http://luajit.org/performance.html">Performance <span class="ext">&raquo;</span></a>
-</li><li>
-<a href="http://wiki.luajit.org/">Wiki <span class="ext">&raquo;</span></a>
-</li><li>
-<a href="http://luajit.org/list.html">Mailing List <span class="ext">&raquo;</span></a>
-</li></ul>
-</div>
-<div id="main">
-<p>
-This page describes the API functions provided by the FFI library in
-detail. It's recommended to read through the
-<a href="ext_ffi.html">introduction</a> and the
-<a href="ext_ffi_tutorial.html">FFI tutorial</a> first.
-</p>
-
-<h2 id="glossary">Glossary</h2>
-<ul>
-<li><b>cdecl</b> &mdash; An abstract C&nbsp;type declaration (a Lua
-string).</li>
-<li><b>ctype</b> &mdash; A C&nbsp;type object. This is a special kind of
-<b>cdata</b> returned by <tt>ffi.typeof()</tt>. It serves as a
-<b>cdata</b> <a href="#ffi_new">constructor</a> when called.</li>
-<li><b>cdata</b> &mdash; A C&nbsp;data object. It holds a value of the
-corresponding <b>ctype</b>.</li>
-<li><b>ct</b> &mdash; A C&nbsp;type specification which can be used for
-most of the API functions. Either a <b>cdecl</b>, a <b>ctype</b> or a
-<b>cdata</b> serving as a template type.</li>
-<li><b>cb</b> &mdash; A callback object. This is a C&nbsp;data object
-holding a special function pointer. Calling this function from
-C&nbsp;code runs an associated Lua function.</li>
-<li><b>VLA</b> &mdash; A variable-length array is declared with a
-<tt>?</tt> instead of the number of elements, e.g. <tt>"int[?]"</tt>.
-The number of elements (<tt>nelem</tt>) must be given when it's
-<a href="#ffi_new">created</a>.</li>
-<li><b>VLS</b> &mdash; A variable-length struct is a <tt>struct</tt> C
-type where the last element is a <b>VLA</b>. The same rules for
-declaration and creation apply.</li>
-</ul>
-
-<h2 id="decl">Declaring and Accessing External Symbols</h2>
-<p>
-External symbols must be declared first and can then be accessed by
-indexing a <a href="ext_ffi_semantics.html#clib">C&nbsp;library
-namespace</a>, which automatically binds the symbol to a specific
-library.
-</p>
-
-<h3 id="ffi_cdef"><tt>ffi.cdef(def)</tt></h3>
-<p>
-Adds multiple C&nbsp;declarations for types or external symbols (named
-variables or functions). <tt>def</tt> must be a Lua string. It's
-recommended to use the syntactic sugar for string arguments as
-follows:
-</p>
-<pre class="code">
-ffi.cdef[[
-<span style="color:#00a000;">typedef struct foo { int a, b; } foo_t; // Declare a struct and typedef.
-int dofoo(foo_t *f, int n); /* Declare an external C function. */</span>
-]]
-</pre>
-<p>
-The contents of the string (the part in green above) must be a
-sequence of
-<a href="ext_ffi_semantics.html#clang">C&nbsp;declarations</a>,
-separated by semicolons. The trailing semicolon for a single
-declaration may be omitted.
-</p>
-<p>
-Please note that external symbols are only <em>declared</em>, but they
-are <em>not bound</em> to any specific address, yet. Binding is
-achieved with C&nbsp;library namespaces (see below).
-</p>
-<p style="color: #c00000;">
-C&nbsp;declarations are not passed through a C&nbsp;pre-processor,
-yet. No pre-processor tokens are allowed, except for
-<tt>#pragma&nbsp;pack</tt>. Replace <tt>#define</tt> in existing
-C&nbsp;header files with <tt>enum</tt>, <tt>static&nbsp;const</tt>
-or <tt>typedef</tt> and/or pass the files through an external
-C&nbsp;pre-processor (once). Be careful not to include unneeded or
-redundant declarations from unrelated header files.
-</p>
-
-<h3 id="ffi_C"><tt>ffi.C</tt></h3>
-<p>
-This is the default C&nbsp;library namespace &mdash; note the
-uppercase <tt>'C'</tt>. It binds to the default set of symbols or
-libraries on the target system. These are more or less the same as a
-C&nbsp;compiler would offer by default, without specifying extra link
-libraries.
-</p>
-<p>
-On POSIX systems, this binds to symbols in the default or global
-namespace. This includes all exported symbols from the executable and
-any libraries loaded into the global namespace. This includes at least
-<tt>libc</tt>, <tt>libm</tt>, <tt>libdl</tt> (on Linux),
-<tt>libgcc</tt> (if compiled with GCC), as well as any exported
-symbols from the Lua/C&nbsp;API provided by LuaJIT itself.
-</p>
-<p>
-On Windows systems, this binds to symbols exported from the
-<tt>*.exe</tt>, the <tt>lua51.dll</tt> (i.e. the Lua/C&nbsp;API
-provided by LuaJIT itself), the C&nbsp;runtime library LuaJIT was linked
-with (<tt>msvcrt*.dll</tt>), <tt>kernel32.dll</tt>,
-<tt>user32.dll</tt> and <tt>gdi32.dll</tt>.
-</p>
-
-<h3 id="ffi_load"><tt>clib = ffi.load(name [,global])</tt></h3>
-<p>
-This loads the dynamic library given by <tt>name</tt> and returns
-a new C&nbsp;library namespace which binds to its symbols. On POSIX
-systems, if <tt>global</tt> is <tt>true</tt>, the library symbols are
-loaded into the global namespace, too.
-</p>
-<p>
-If <tt>name</tt> is a path, the library is loaded from this path.
-Otherwise <tt>name</tt> is canonicalized in a system-dependent way and
-searched in the default search path for dynamic libraries:
-</p>
-<p>
-On POSIX systems, if the name contains no dot, the extension
-<tt>.so</tt> is appended. Also, the <tt>lib</tt> prefix is prepended
-if necessary. So <tt>ffi.load("z")</tt> looks for <tt>"libz.so"</tt>
-in the default shared library search path.
-</p>
-<p>
-On Windows systems, if the name contains no dot, the extension
-<tt>.dll</tt> is appended. So <tt>ffi.load("ws2_32")</tt> looks for
-<tt>"ws2_32.dll"</tt> in the default DLL search path.
-</p>
-
-<h2 id="create">Creating cdata Objects</h2>
-<p>
-The following API functions create cdata objects (<tt>type()</tt>
-returns <tt>"cdata"</tt>). All created cdata objects are
-<a href="ext_ffi_semantics.html#gc">garbage collected</a>.
-</p>
-
-<h3 id="ffi_new"><tt>cdata = ffi.new(ct [,nelem] [,init...])<br>
-cdata = <em>ctype</em>([nelem,] [init...])</tt></h3>
-<p>
-Creates a cdata object for the given <tt>ct</tt>. VLA/VLS types
-require the <tt>nelem</tt> argument. The second syntax uses a ctype as
-a constructor and is otherwise fully equivalent.
-</p>
-<p>
-The cdata object is initialized according to the
-<a href="ext_ffi_semantics.html#init">rules for initializers</a>,
-using the optional <tt>init</tt> arguments. Excess initializers cause
-an error.
-</p>
-<p>
-Performance notice: if you want to create many objects of one kind,
-parse the cdecl only once and get its ctype with
-<tt>ffi.typeof()</tt>. Then use the ctype as a constructor repeatedly.
-</p>
-<p style="font-size: 8pt;">
-Please note that an anonymous <tt>struct</tt> declaration implicitly
-creates a new and distinguished ctype every time you use it for
-<tt>ffi.new()</tt>. This is probably <b>not</b> what you want,
-especially if you create more than one cdata object. Different anonymous
-<tt>structs</tt> are not considered assignment-compatible by the
-C&nbsp;standard, even though they may have the same fields! Also, they
-are considered different types by the JIT-compiler, which may cause an
-excessive number of traces. It's strongly suggested to either declare
-a named <tt>struct</tt> or <tt>typedef</tt> with <tt>ffi.cdef()</tt>
-or to create a single ctype object for an anonymous <tt>struct</tt>
-with <tt>ffi.typeof()</tt>.
-</p>
-
-<h3 id="ffi_typeof"><tt>ctype = ffi.typeof(ct)</tt></h3>
-<p>
-Creates a ctype object for the given <tt>ct</tt>.
-</p>
-<p>
-This function is especially useful to parse a cdecl only once and then
-use the resulting ctype object as a <a href="#ffi_new">constructor</a>.
-</p>
-
-<h3 id="ffi_cast"><tt>cdata = ffi.cast(ct, init)</tt></h3>
-<p>
-Creates a scalar cdata object for the given <tt>ct</tt>. The cdata
-object is initialized with <tt>init</tt> using the "cast" variant of
-the <a href="ext_ffi_semantics.html#convert">C&nbsp;type conversion
-rules</a>.
-</p>
-<p>
-This functions is mainly useful to override the pointer compatibility
-checks or to convert pointers to addresses or vice versa.
-</p>
-
-<h3 id="ffi_metatype"><tt>ctype = ffi.metatype(ct, metatable)</tt></h3>
-<p>
-Creates a ctype object for the given <tt>ct</tt> and associates it with
-a metatable. Only <tt>struct</tt>/<tt>union</tt> types, complex numbers
-and vectors are allowed. Other types may be wrapped in a
-<tt>struct</tt>, if needed.
-</p>
-<p>
-The association with a metatable is permanent and cannot be changed
-afterwards. Neither the contents of the <tt>metatable</tt> nor the
-contents of an <tt>__index</tt> table (if any) may be modified
-afterwards. The associated metatable automatically applies to all uses
-of this type, no matter how the objects are created or where they
-originate from. Note that pre-defined operations on types have
-precedence (e.g. declared field names cannot be overriden).
-</p>
-<p>
-All standard Lua metamethods are implemented. These are called directly,
-without shortcuts and on any mix of types. For binary operations, the
-left operand is checked first for a valid ctype metamethod. The
-<tt>__gc</tt> metamethod only applies to <tt>struct</tt>/<tt>union</tt>
-types and performs an implicit <a href="#ffi_gc"><tt>ffi.gc()</tt></a>
-call during creation of an instance.
-</p>
-
-<h3 id="ffi_gc"><tt>cdata = ffi.gc(cdata, finalizer)</tt></h3>
-<p>
-Associates a finalizer with a pointer or aggregate cdata object. The
-cdata object is returned unchanged.
-</p>
-<p>
-This function allows safe integration of unmanaged resources into the
-automatic memory management of the LuaJIT garbage collector. Typical
-usage:
-</p>
-<pre class="code">
-local p = ffi.gc(ffi.C.malloc(n), ffi.C.free)
-...
-p = nil -- Last reference to p is gone.
--- GC will eventually run finalizer: ffi.C.free(p)
-</pre>
-<p>
-A cdata finalizer works like the <tt>__gc</tt> metamethod for userdata
-objects: when the last reference to a cdata object is gone, the
-associated finalizer is called with the cdata object as an argument. The
-finalizer can be a Lua function or a cdata function or cdata function
-pointer. An existing finalizer can be removed by setting a <tt>nil</tt>
-finalizer, e.g. right before explicitly deleting a resource:
-</p>
-<pre class="code">
-ffi.C.free(ffi.gc(p, nil)) -- Manually free the memory.
-</pre>
-
-<h2 id="info">C&nbsp;Type Information</h2>
-<p>
-The following API functions return information about C&nbsp;types.
-They are most useful for inspecting cdata objects.
-</p>
-
-<h3 id="ffi_sizeof"><tt>size = ffi.sizeof(ct [,nelem])</tt></h3>
-<p>
-Returns the size of <tt>ct</tt> in bytes. Returns <tt>nil</tt> if
-the size is not known (e.g. for <tt>"void"</tt> or function types).
-Requires <tt>nelem</tt> for VLA/VLS types, except for cdata objects.
-</p>
-
-<h3 id="ffi_alignof"><tt>align = ffi.alignof(ct)</tt></h3>
-<p>
-Returns the minimum required alignment for <tt>ct</tt> in bytes.
-</p>
-
-<h3 id="ffi_offsetof"><tt>ofs [,bpos,bsize] = ffi.offsetof(ct, field)</tt></h3>
-<p>
-Returns the offset (in bytes) of <tt>field</tt> relative to the start
-of <tt>ct</tt>, which must be a <tt>struct</tt>. Additionally returns
-the position and the field size (in bits) for bit fields.
-</p>
-
-<h3 id="ffi_istype"><tt>status = ffi.istype(ct, obj)</tt></h3>
-<p>
-Returns <tt>true</tt> if <tt>obj</tt> has the C&nbsp;type given by
-<tt>ct</tt>. Returns <tt>false</tt> otherwise.
-</p>
-<p>
-C&nbsp;type qualifiers (<tt>const</tt> etc.) are ignored. Pointers are
-checked with the standard pointer compatibility rules, but without any
-special treatment for <tt>void&nbsp;*</tt>. If <tt>ct</tt> specifies a
-<tt>struct</tt>/<tt>union</tt>, then a pointer to this type is accepted,
-too. Otherwise the types must match exactly.
-</p>
-<p>
-Note: this function accepts all kinds of Lua objects for the
-<tt>obj</tt> argument, but always returns <tt>false</tt> for non-cdata
-objects.
-</p>
-
-<h2 id="util">Utility Functions</h2>
-
-<h3 id="ffi_errno"><tt>err = ffi.errno([newerr])</tt></h3>
-<p>
-Returns the error number set by the last C&nbsp;function call which
-indicated an error condition. If the optional <tt>newerr</tt> argument
-is present, the error number is set to the new value and the previous
-value is returned.
-</p>
-<p>
-This function offers a portable and OS-independent way to get and set the
-error number. Note that only <em>some</em> C&nbsp;functions set the error
-number. And it's only significant if the function actually indicated an
-error condition (e.g. with a return value of <tt>-1</tt> or
-<tt>NULL</tt>). Otherwise, it may or may not contain any previously set
-value.
-</p>
-<p>
-You're advised to call this function only when needed and as close as
-possible after the return of the related C&nbsp;function. The
-<tt>errno</tt> value is preserved across hooks, memory allocations,
-invocations of the JIT compiler and other internal VM activity. The same
-applies to the value returned by <tt>GetLastError()</tt> on Windows, but
-you need to declare and call it yourself.
-</p>
-
-<h3 id="ffi_string"><tt>str = ffi.string(ptr [,len])</tt></h3>
-<p>
-Creates an interned Lua string from the data pointed to by
-<tt>ptr</tt>.
-</p>
-<p>
-If the optional argument <tt>len</tt> is missing, <tt>ptr</tt> is
-converted to a <tt>"char&nbsp;*"</tt> and the data is assumed to be
-zero-terminated. The length of the string is computed with
-<tt>strlen()</tt>.
-</p>
-<p>
-Otherwise <tt>ptr</tt> is converted to a <tt>"void&nbsp;*"</tt> and
-<tt>len</tt> gives the length of the data. The data may contain
-embedded zeros and need not be byte-oriented (though this may cause
-endianess issues).
-</p>
-<p>
-This function is mainly useful to convert (temporary)
-<tt>"const&nbsp;char&nbsp;*"</tt> pointers returned by
-C&nbsp;functions to Lua strings and store them or pass them to other
-functions expecting a Lua string. The Lua string is an (interned) copy
-of the data and bears no relation to the original data area anymore.
-Lua strings are 8&nbsp;bit clean and may be used to hold arbitrary,
-non-character data.
-</p>
-<p>
-Performance notice: it's faster to pass the length of the string, if
-it's known. E.g. when the length is returned by a C&nbsp;call like
-<tt>sprintf()</tt>.
-</p>
-
-<h3 id="ffi_copy"><tt>ffi.copy(dst, src, len)<br>
-ffi.copy(dst, str)</tt></h3>
-<p>
-Copies the data pointed to by <tt>src</tt> to <tt>dst</tt>.
-<tt>dst</tt> is converted to a <tt>"void&nbsp;*"</tt> and <tt>src</tt>
-is converted to a <tt>"const void&nbsp;*"</tt>.
-</p>
-<p>
-In the first syntax, <tt>len</tt> gives the number of bytes to copy.
-Caveat: if <tt>src</tt> is a Lua string, then <tt>len</tt> must not
-exceed <tt>#src+1</tt>.
-</p>
-<p>
-In the second syntax, the source of the copy must be a Lua string. All
-bytes of the string <em>plus a zero-terminator</em> are copied to
-<tt>dst</tt> (i.e. <tt>#src+1</tt> bytes).
-</p>
-<p>
-Performance notice: <tt>ffi.copy()</tt> may be used as a faster
-(inlinable) replacement for the C&nbsp;library functions
-<tt>memcpy()</tt>, <tt>strcpy()</tt> and <tt>strncpy()</tt>.
-</p>
-
-<h3 id="ffi_fill"><tt>ffi.fill(dst, len [,c])</tt></h3>
-<p>
-Fills the data pointed to by <tt>dst</tt> with <tt>len</tt> constant
-bytes, given by <tt>c</tt>. If <tt>c</tt> is omitted, the data is
-zero-filled.
-</p>
-<p>
-Performance notice: <tt>ffi.fill()</tt> may be used as a faster
-(inlinable) replacement for the C&nbsp;library function
-<tt>memset(dst,&nbsp;c,&nbsp;len)</tt>. Please note the different
-order of arguments!
-</p>
-
-<h2 id="target">Target-specific Information</h2>
-
-<h3 id="ffi_abi"><tt>status = ffi.abi(param)</tt></h3>
-<p>
-Returns <tt>true</tt> if <tt>param</tt> (a Lua string) applies for the
-target ABI (Application Binary Interface). Returns <tt>false</tt>
-otherwise. The following parameters are currently defined:
-</p>
-<table class="abitable">
-<tr class="abihead">
-<td class="abiparam">Parameter</td>
-<td class="abidesc">Description</td>
-</tr>
-<tr class="odd separate">
-<td class="abiparam">32bit</td><td class="abidesc">32 bit architecture</td></tr>
-<tr class="even">
-<td class="abiparam">64bit</td><td class="abidesc">64 bit architecture</td></tr>
-<tr class="odd separate">
-<td class="abiparam">le</td><td class="abidesc">Little-endian architecture</td></tr>
-<tr class="even">
-<td class="abiparam">be</td><td class="abidesc">Big-endian architecture</td></tr>
-<tr class="odd separate">
-<td class="abiparam">fpu</td><td class="abidesc">Target has a hardware FPU</td></tr>
-<tr class="even">
-<td class="abiparam">softfp</td><td class="abidesc">softfp calling conventions</td></tr>
-<tr class="odd">
-<td class="abiparam">hardfp</td><td class="abidesc">hardfp calling conventions</td></tr>
-<tr class="even separate">
-<td class="abiparam">eabi</td><td class="abidesc">EABI variant of the standard ABI</td></tr>
-<tr class="odd">
-<td class="abiparam">win</td><td class="abidesc">Windows variant of the standard ABI</td></tr>
-<tr class="even">
-<td class="abiparam">uwp</td><td class="abidesc">Universal Windows Platform</td></tr>
-<tr class="odd">
-<td class="abiparam">gc64</td><td class="abidesc">64 bit GC references</td></tr>
-</table>
-
-<h3 id="ffi_os"><tt>ffi.os</tt></h3>
-<p>
-Contains the target OS name. Same contents as
-<a href="ext_jit.html#jit_os"><tt>jit.os</tt></a>.
-</p>
-
-<h3 id="ffi_arch"><tt>ffi.arch</tt></h3>
-<p>
-Contains the target architecture name. Same contents as
-<a href="ext_jit.html#jit_arch"><tt>jit.arch</tt></a>.
-</p>
-
-<h2 id="callback">Methods for Callbacks</h2>
-<p>
-The C&nbsp;types for <a href="ext_ffi_semantics.html#callback">callbacks</a>
-have some extra methods:
-</p>
-
-<h3 id="callback_free"><tt>cb:free()</tt></h3>
-<p>
-Free the resources associated with a callback. The associated Lua
-function is unanchored and may be garbage collected. The callback
-function pointer is no longer valid and must not be called anymore
-(it may be reused by a subsequently created callback).
-</p>
-
-<h3 id="callback_set"><tt>cb:set(func)</tt></h3>
-<p>
-Associate a new Lua function with a callback. The C&nbsp;type of the
-callback and the callback function pointer are unchanged.
-</p>
-<p>
-This method is useful to dynamically switch the receiver of callbacks
-without creating a new callback each time and registering it again (e.g.
-with a GUI library).
-</p>
-
-<h2 id="extended">Extended Standard Library Functions</h2>
-<p>
-The following standard library functions have been extended to work
-with cdata objects:
-</p>
-
-<h3 id="tonumber"><tt>n = tonumber(cdata)</tt></h3>
-<p>
-Converts a number cdata object to a <tt>double</tt> and returns it as
-a Lua number. This is particularly useful for boxed 64&nbsp;bit
-integer values. Caveat: this conversion may incur a precision loss.
-</p>
-
-<h3 id="tostring"><tt>s = tostring(cdata)</tt></h3>
-<p>
-Returns a string representation of the value of 64&nbsp;bit integers
-(<tt><b>"</b>nnn<b>LL"</b></tt> or <tt><b>"</b>nnn<b>ULL"</b></tt>) or
-complex numbers (<tt><b>"</b>re&plusmn;im<b>i"</b></tt>). Otherwise
-returns a string representation of the C&nbsp;type of a ctype object
-(<tt><b>"ctype&lt;</b>type<b>&gt;"</b></tt>) or a cdata object
-(<tt><b>"cdata&lt;</b>type<b>&gt;:&nbsp;</b>address"</tt>), unless you
-override it with a <tt>__tostring</tt> metamethod (see
-<a href="#ffi_metatype"><tt>ffi.metatype()</tt></a>).
-</p>
-
-<h3 id="pairs"><tt>iter, obj, start = pairs(cdata)<br>
-iter, obj, start = ipairs(cdata)<br></tt></h3>
-<p>
-Calls the <tt>__pairs</tt> or <tt>__ipairs</tt> metamethod of the
-corresponding ctype.
-</p>
-
-<h2 id="literals">Extensions to the Lua Parser</h2>
-<p>
-The parser for Lua source code treats numeric literals with the
-suffixes <tt>LL</tt> or <tt>ULL</tt> as signed or unsigned 64&nbsp;bit
-integers. Case doesn't matter, but uppercase is recommended for
-readability. It handles decimal (<tt>42LL</tt>), hexadecimal
-(<tt>0x2aLL</tt>) and binary (<tt>0b101010LL</tt>) literals.
-</p>
-<p>
-The imaginary part of complex numbers can be specified by suffixing
-number literals with <tt>i</tt> or <tt>I</tt>, e.g. <tt>12.5i</tt>.
-Caveat: you'll need to use <tt>1i</tt> to get an imaginary part with
-the value one, since <tt>i</tt> itself still refers to a variable
-named <tt>i</tt>.
-</p>
-<br class="flush">
-</div>
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