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     13 
     14 <h1>
     15   The Often Misunderstood GEP Instruction
     16 </h1>
     17 
     18 <ol>
     19   <li><a href="#intro">Introduction</a></li>
     20   <li><a href="#addresses">Address Computation</a>
     21   <ol>
     22     <li><a href="#extra_index">Why is the extra 0 index required?</a></li>
     23     <li><a href="#deref">What is dereferenced by GEP?</a></li>
     24     <li><a href="#firstptr">Why can you index through the first pointer but not
     25       subsequent ones?</a></li>
     26     <li><a href="#lead0">Why don't GEP x,0,0,1 and GEP x,1 alias? </a></li>
     27     <li><a href="#trail0">Why do GEP x,1,0,0 and GEP x,1 alias? </a></li>
     28     <li><a href="#vectors">Can GEP index into vector elements?</a>
     29     <li><a href="#addrspace">What effect do address spaces have on GEPs?</a>
     30     <li><a href="#int">How is GEP different from ptrtoint, arithmetic, and inttoptr?</a></li>
     31     <li><a href="#be">I'm writing a backend for a target which needs custom lowering for GEP. How do I do this?</a>
     32     <li><a href="#vla">How does VLA addressing work with GEPs?</a>
     33   </ol></li>
     34   <li><a href="#rules">Rules</a>
     35   <ol>
     36     <li><a href="#bounds">What happens if an array index is out of bounds?</a>
     37     <li><a href="#negative">Can array indices be negative?</a>
     38     <li><a href="#compare">Can I compare two values computed with GEPs?</a>
     39     <li><a href="#types">Can I do GEP with a different pointer type than the type of the underlying object?</a>
     40     <li><a href="#null">Can I cast an object's address to integer and add it to null?</a>
     41     <li><a href="#ptrdiff">Can I compute the distance between two objects, and add that value to one address to compute the other address?</a>
     42     <li><a href="#tbaa">Can I do type-based alias analysis on LLVM IR?</a>
     43     <li><a href="#overflow">What happens if a GEP computation overflows?</a>
     44     <li><a href="#check">How can I tell if my front-end is following the rules?</a>
     45   </ol></li>
     46   <li><a href="#rationale">Rationale</a>
     47   <ol>
     48     <li><a href="#goals">Why is GEP designed this way?</a></li>
     49     <li><a href="#i32">Why do struct member indices always use i32?</a></li>
     50     <li><a href="#uglygep">What's an uglygep?</a>
     51   </ol></li>
     52   <li><a href="#summary">Summary</a></li>
     53 </ol>
     54 
     55 <div class="doc_author">
     56   <p>Written by: <a href="mailto:rspencer (a] reidspencer.com">Reid Spencer</a>.</p>
     57 </div>
     58 
     59 
     60 <!-- *********************************************************************** -->
     61 <h2><a name="intro">Introduction</a></h2>
     62 <!-- *********************************************************************** -->
     63 
     64 <div>
     65   <p>This document seeks to dispel the mystery and confusion surrounding LLVM's
     66   <a href="LangRef.html#i_getelementptr">GetElementPtr</a> (GEP) instruction.
     67   Questions about the wily GEP instruction are
     68   probably the most frequently occurring questions once a developer gets down to
     69   coding with LLVM. Here we lay out the sources of confusion and show that the
     70   GEP instruction is really quite simple.
     71   </p>
     72 </div>
     73 
     74 <!-- *********************************************************************** -->
     75 <h2><a name="addresses">Address Computation</a></h2>
     76 <!-- *********************************************************************** -->
     77 <div>
     78   <p>When people are first confronted with the GEP instruction, they tend to
     79   relate it to known concepts from other programming paradigms, most notably C
     80   array indexing and field selection. GEP closely resembles C array indexing
     81   and field selection, however it's is a little different and this leads to
     82   the following questions.</p>
     83 
     84 <!-- *********************************************************************** -->
     85 <h3>
     86   <a name="firstptr">What is the first index of the GEP instruction?</a>
     87 </h3>
     88 <div>
     89   <p>Quick answer: The index stepping through the first operand.</p> 
     90   <p>The confusion with the first index usually arises from thinking about 
     91   the GetElementPtr instruction as if it was a C index operator. They aren't the
     92   same. For example, when we write, in "C":</p>
     93 
     94 <div class="doc_code">
     95 <pre>
     96 AType *Foo;
     97 ...
     98 X = &amp;Foo-&gt;F;
     99 </pre>
    100 </div>
    101 
    102   <p>it is natural to think that there is only one index, the selection of the
    103   field <tt>F</tt>.  However, in this example, <tt>Foo</tt> is a pointer. That 
    104   pointer must be indexed explicitly in LLVM. C, on the other hand, indices
    105   through it transparently.  To arrive at the same address location as the C 
    106   code, you would provide the GEP instruction with two index operands. The 
    107   first operand indexes through the pointer; the second operand indexes the 
    108   field <tt>F</tt> of the structure, just as if you wrote:</p>
    109 
    110 <div class="doc_code">
    111 <pre>
    112 X = &amp;Foo[0].F;
    113 </pre>
    114 </div>
    115 
    116   <p>Sometimes this question gets rephrased as:</p>
    117   <blockquote><p><i>Why is it okay to index through the first pointer, but 
    118       subsequent pointers won't be dereferenced?</i></p></blockquote> 
    119   <p>The answer is simply because memory does not have to be accessed to 
    120   perform the computation. The first operand to the GEP instruction must be a 
    121   value of a pointer type. The value of the pointer is provided directly to 
    122   the GEP instruction as an operand without any need for accessing memory. It 
    123   must, therefore be indexed and requires an index operand. Consider this 
    124   example:</p>
    125 
    126 <div class="doc_code">
    127 <pre>
    128 struct munger_struct {
    129   int f1;
    130   int f2;
    131 };
    132 void munge(struct munger_struct *P) {
    133   P[0].f1 = P[1].f1 + P[2].f2;
    134 }
    135 ...
    136 munger_struct Array[3];
    137 ...
    138 munge(Array);
    139 </pre>
    140 </div>
    141 
    142   <p>In this "C" example, the front end compiler (llvm-gcc) will generate three
    143   GEP instructions for the three indices through "P" in the assignment
    144   statement.  The function argument <tt>P</tt> will be the first operand of each
    145   of these GEP instructions.  The second operand indexes through that pointer.
    146   The third operand will be the field offset into the 
    147   <tt>struct munger_struct</tt> type,  for either the <tt>f1</tt> or 
    148   <tt>f2</tt> field. So, in LLVM assembly the <tt>munge</tt> function looks 
    149   like:</p>
    150 
    151 <div class="doc_code">
    152 <pre>
    153 void %munge(%struct.munger_struct* %P) {
    154 entry:
    155   %tmp = getelementptr %struct.munger_struct* %P, i32 1, i32 0
    156   %tmp = load i32* %tmp
    157   %tmp6 = getelementptr %struct.munger_struct* %P, i32 2, i32 1
    158   %tmp7 = load i32* %tmp6
    159   %tmp8 = add i32 %tmp7, %tmp
    160   %tmp9 = getelementptr %struct.munger_struct* %P, i32 0, i32 0
    161   store i32 %tmp8, i32* %tmp9
    162   ret void
    163 }
    164 </pre>
    165 </div>
    166 
    167   <p>In each case the first operand is the pointer through which the GEP
    168   instruction starts. The same is true whether the first operand is an
    169   argument, allocated memory, or a global variable. </p>
    170   <p>To make this clear, let's consider a more obtuse example:</p>
    171 
    172 <div class="doc_code">
    173 <pre>
    174 %MyVar = uninitialized global i32
    175 ...
    176 %idx1 = getelementptr i32* %MyVar, i64 0
    177 %idx2 = getelementptr i32* %MyVar, i64 1
    178 %idx3 = getelementptr i32* %MyVar, i64 2
    179 </pre>
    180 </div>
    181 
    182   <p>These GEP instructions are simply making address computations from the 
    183   base address of <tt>MyVar</tt>.  They compute, as follows (using C syntax):
    184   </p>
    185 
    186 <div class="doc_code">
    187 <pre>
    188 idx1 = (char*) &amp;MyVar + 0
    189 idx2 = (char*) &amp;MyVar + 4
    190 idx3 = (char*) &amp;MyVar + 8
    191 </pre>
    192 </div>
    193 
    194   <p>Since the type <tt>i32</tt> is known to be four bytes long, the indices 
    195   0, 1 and 2 translate into memory offsets of 0, 4, and 8, respectively. No 
    196   memory is accessed to make these computations because the address of 
    197   <tt>%MyVar</tt> is passed directly to the GEP instructions.</p>
    198   <p>The obtuse part of this example is in the cases of <tt>%idx2</tt> and 
    199   <tt>%idx3</tt>. They result in the computation of addresses that point to
    200   memory past the end of the <tt>%MyVar</tt> global, which is only one
    201   <tt>i32</tt> long, not three <tt>i32</tt>s long.  While this is legal in LLVM,
    202   it is inadvisable because any load or store with the pointer that results 
    203   from these GEP instructions would produce undefined results.</p>
    204 </div>
    205 
    206 <!-- *********************************************************************** -->
    207 <h3>
    208   <a name="extra_index">Why is the extra 0 index required?</a>
    209 </h3>
    210 <!-- *********************************************************************** -->
    211 <div>
    212   <p>Quick answer: there are no superfluous indices.</p>
    213   <p>This question arises most often when the GEP instruction is applied to a
    214   global variable which is always a pointer type. For example, consider
    215   this:</p>
    216 
    217 <div class="doc_code">
    218 <pre>
    219 %MyStruct = uninitialized global { float*, i32 }
    220 ...
    221 %idx = getelementptr { float*, i32 }* %MyStruct, i64 0, i32 1
    222 </pre>
    223 </div>
    224 
    225   <p>The GEP above yields an <tt>i32*</tt> by indexing the <tt>i32</tt> typed 
    226   field of the structure <tt>%MyStruct</tt>. When people first look at it, they 
    227   wonder why the <tt>i64 0</tt> index is needed. However, a closer inspection 
    228   of how globals and GEPs work reveals the need. Becoming aware of the following
    229   facts will dispel the confusion:</p>
    230   <ol>
    231     <li>The type of <tt>%MyStruct</tt> is <i>not</i> <tt>{ float*, i32 }</tt> 
    232     but rather <tt>{ float*, i32 }*</tt>. That is, <tt>%MyStruct</tt> is a 
    233     pointer to a structure containing a pointer to a <tt>float</tt> and an 
    234     <tt>i32</tt>.</li>
    235     <li>Point #1 is evidenced by noticing the type of the first operand of 
    236     the GEP instruction (<tt>%MyStruct</tt>) which is 
    237     <tt>{ float*, i32 }*</tt>.</li>
    238     <li>The first index, <tt>i64 0</tt> is required to step over the global
    239     variable <tt>%MyStruct</tt>.  Since the first argument to the GEP
    240     instruction must always be a value of pointer type, the first index 
    241     steps through that pointer. A value of 0 means 0 elements offset from that
    242     pointer.</li>
    243     <li>The second index, <tt>i32 1</tt> selects the second field of the
    244     structure (the <tt>i32</tt>). </li>
    245   </ol>
    246 </div>
    247 
    248 <!-- *********************************************************************** -->
    249 <h3>
    250   <a name="deref">What is dereferenced by GEP?</a>
    251 </h3>
    252 <div>
    253   <p>Quick answer: nothing.</p> 
    254   <p>The GetElementPtr instruction dereferences nothing. That is, it doesn't
    255   access memory in any way. That's what the Load and Store instructions are for.
    256   GEP is only involved in the computation of addresses. For example, consider 
    257   this:</p>
    258 
    259 <div class="doc_code">
    260 <pre>
    261 %MyVar = uninitialized global { [40 x i32 ]* }
    262 ...
    263 %idx = getelementptr { [40 x i32]* }* %MyVar, i64 0, i32 0, i64 0, i64 17
    264 </pre>
    265 </div>
    266 
    267   <p>In this example, we have a global variable, <tt>%MyVar</tt> that is a
    268   pointer to a structure containing a pointer to an array of 40 ints. The 
    269   GEP instruction seems to be accessing the 18th integer of the structure's
    270   array of ints. However, this is actually an illegal GEP instruction. It 
    271   won't compile. The reason is that the pointer in the structure <i>must</i>
    272   be dereferenced in order to index into the array of 40 ints. Since the 
    273   GEP instruction never accesses memory, it is illegal.</p>
    274   <p>In order to access the 18th integer in the array, you would need to do the
    275   following:</p>
    276 
    277 <div class="doc_code">
    278 <pre>
    279 %idx = getelementptr { [40 x i32]* }* %, i64 0, i32 0
    280 %arr = load [40 x i32]** %idx
    281 %idx = getelementptr [40 x i32]* %arr, i64 0, i64 17
    282 </pre>
    283 </div>
    284 
    285   <p>In this case, we have to load the pointer in the structure with a load
    286   instruction before we can index into the array. If the example was changed 
    287   to:</p>
    288 
    289 <div class="doc_code">
    290 <pre>
    291 %MyVar = uninitialized global { [40 x i32 ] }
    292 ...
    293 %idx = getelementptr { [40 x i32] }*, i64 0, i32 0, i64 17
    294 </pre>
    295 </div>
    296 
    297   <p>then everything works fine. In this case, the structure does not contain a
    298   pointer and the GEP instruction can index through the global variable,
    299   into the first field of the structure and access the 18th <tt>i32</tt> in the 
    300   array there.</p>
    301 </div>
    302 
    303 <!-- *********************************************************************** -->
    304 <h3>
    305   <a name="lead0">Why don't GEP x,0,0,1 and GEP x,1 alias?</a>
    306 </h3>
    307 <div>
    308   <p>Quick Answer: They compute different address locations.</p>
    309   <p>If you look at the first indices in these GEP
    310   instructions you find that they are different (0 and 1), therefore the address
    311   computation diverges with that index. Consider this example:</p>
    312 
    313 <div class="doc_code">
    314 <pre>
    315 %MyVar = global { [10 x i32 ] }
    316 %idx1 = getelementptr { [10 x i32 ] }* %MyVar, i64 0, i32 0, i64 1
    317 %idx2 = getelementptr { [10 x i32 ] }* %MyVar, i64 1
    318 </pre>
    319 </div>
    320 
    321   <p>In this example, <tt>idx1</tt> computes the address of the second integer
    322   in the array that is in the structure in <tt>%MyVar</tt>, that is
    323   <tt>MyVar+4</tt>. The type of <tt>idx1</tt> is <tt>i32*</tt>. However,
    324   <tt>idx2</tt> computes the address of <i>the next</i> structure after
    325   <tt>%MyVar</tt>. The type of <tt>idx2</tt> is <tt>{ [10 x i32] }*</tt> and its
    326   value is equivalent to <tt>MyVar + 40</tt> because it indexes past the ten
    327   4-byte integers in <tt>MyVar</tt>. Obviously, in such a situation, the
    328   pointers don't alias.</p>
    329 
    330 </div>
    331 
    332 <!-- *********************************************************************** -->
    333 <h3>
    334   <a name="trail0">Why do GEP x,1,0,0 and GEP x,1 alias?</a>
    335 </h3>
    336 <div>
    337   <p>Quick Answer: They compute the same address location.</p>
    338   <p>These two GEP instructions will compute the same address because indexing
    339   through the 0th element does not change the address. However, it does change
    340   the type. Consider this example:</p>
    341 
    342 <div class="doc_code">
    343 <pre>
    344 %MyVar = global { [10 x i32 ] }
    345 %idx1 = getelementptr { [10 x i32 ] }* %MyVar, i64 1, i32 0, i64 0
    346 %idx2 = getelementptr { [10 x i32 ] }* %MyVar, i64 1
    347 </pre>
    348 </div>
    349 
    350   <p>In this example, the value of <tt>%idx1</tt> is <tt>%MyVar+40</tt> and
    351   its type is <tt>i32*</tt>. The value of <tt>%idx2</tt> is also 
    352   <tt>MyVar+40</tt> but its type is <tt>{ [10 x i32] }*</tt>.</p>
    353 </div>
    354 
    355 <!-- *********************************************************************** -->
    356 
    357 <h3>
    358   <a name="vectors">Can GEP index into vector elements?</a>
    359 </h3>
    360 <div>
    361   <p>This hasn't always been forcefully disallowed, though it's not recommended.
    362      It leads to awkward special cases in the optimizers, and fundamental
    363      inconsistency in the IR. In the future, it will probably be outright
    364      disallowed.</p>
    365 
    366 </div>
    367 
    368 <!-- *********************************************************************** -->
    369 
    370 <h3>
    371   <a name="addrspace">What effect do address spaces have on GEPs?</a>
    372 </h3>
    373 <div>
    374    <p>None, except that the address space qualifier on the first operand pointer
    375       type always matches the address space qualifier on the result type.</p>
    376 
    377 </div>
    378 
    379 <!-- *********************************************************************** -->
    380 
    381 <h3>
    382   <a name="int">
    383     How is GEP different from ptrtoint, arithmetic, and inttoptr?
    384   </a>
    385 </h3>
    386 <div>
    387   <p>It's very similar; there are only subtle differences.</p>
    388 
    389   <p>With ptrtoint, you have to pick an integer type. One approach is to pick i64;
    390      this is safe on everything LLVM supports (LLVM internally assumes pointers
    391      are never wider than 64 bits in many places), and the optimizer will actually
    392      narrow the i64 arithmetic down to the actual pointer size on targets which
    393      don't support 64-bit arithmetic in most cases. However, there are some cases
    394      where it doesn't do this. With GEP you can avoid this problem.
    395 
    396   <p>Also, GEP carries additional pointer aliasing rules. It's invalid to take a
    397      GEP from one object, address into a different separately allocated
    398      object, and dereference it. IR producers (front-ends) must follow this rule,
    399      and consumers (optimizers, specifically alias analysis) benefit from being
    400      able to rely on it. See the <a href="#rules">Rules</a> section for more
    401      information.</p>
    402 
    403   <p>And, GEP is more concise in common cases.</p>
    404 
    405   <p>However, for the underlying integer computation implied, there
    406      is no difference.</p>
    407 
    408 </div>
    409 
    410 <!-- *********************************************************************** -->
    411 
    412 <h3>
    413   <a name="be">
    414     I'm writing a backend for a target which needs custom lowering for GEP.
    415     How do I do this?
    416   </a>
    417 </h3>
    418 <div>
    419   <p>You don't. The integer computation implied by a GEP is target-independent.
    420      Typically what you'll need to do is make your backend pattern-match
    421      expressions trees involving ADD, MUL, etc., which are what GEP is lowered
    422      into. This has the advantage of letting your code work correctly in more
    423      cases.</p>
    424 
    425   <p>GEP does use target-dependent parameters for the size and layout of data
    426      types, which targets can customize.</p>
    427 
    428   <p>If you require support for addressing units which are not 8 bits, you'll
    429      need to fix a lot of code in the backend, with GEP lowering being only a
    430      small piece of the overall picture.</p>
    431 
    432 </div>
    433 
    434 <!-- *********************************************************************** -->
    435 
    436 <h3>
    437   <a name="vla">How does VLA addressing work with GEPs?</a>
    438 </h3>
    439 <div>
    440   <p>GEPs don't natively support VLAs. LLVM's type system is entirely static,
    441      and GEP address computations are guided by an LLVM type.</p>
    442 
    443   <p>VLA indices can be implemented as linearized indices. For example, an
    444      expression like X[a][b][c], must be effectively lowered into a form
    445      like X[a*m+b*n+c], so that it appears to the GEP as a single-dimensional
    446      array reference.</p>
    447 
    448   <p>This means if you want to write an analysis which understands array
    449      indices and you want to support VLAs, your code will have to be
    450      prepared to reverse-engineer the linearization. One way to solve this
    451      problem is to use the ScalarEvolution library, which always presents
    452      VLA and non-VLA indexing in the same manner.</p>
    453 </div>
    454 
    455 </div>
    456 
    457 <!-- *********************************************************************** -->
    458 <h2><a name="rules">Rules</a></h2>
    459 <!-- *********************************************************************** -->
    460 <div>
    461 <!-- *********************************************************************** -->
    462 
    463 <h3>
    464   <a name="bounds">What happens if an array index is out of bounds?</a>
    465 </h3>
    466 <div>
    467   <p>There are two senses in which an array index can be out of bounds.</p>
    468 
    469   <p>First, there's the array type which comes from the (static) type of
    470      the first operand to the GEP. Indices greater than the number of elements
    471      in the corresponding static array type are valid. There is no problem with
    472      out of bounds indices in this sense. Indexing into an array only depends
    473      on the size of the array element, not the number of elements.</p>
    474      
    475   <p>A common example of how this is used is arrays where the size is not known.
    476      It's common to use array types with zero length to represent these. The
    477      fact that the static type says there are zero elements is irrelevant; it's
    478      perfectly valid to compute arbitrary element indices, as the computation
    479      only depends on the size of the array element, not the number of
    480      elements. Note that zero-sized arrays are not a special case here.</p>
    481 
    482   <p>This sense is unconnected with <tt>inbounds</tt> keyword. The
    483      <tt>inbounds</tt> keyword is designed to describe low-level pointer
    484      arithmetic overflow conditions, rather than high-level array
    485      indexing rules.
    486 
    487   <p>Analysis passes which wish to understand array indexing should not
    488      assume that the static array type bounds are respected.</p>
    489 
    490   <p>The second sense of being out of bounds is computing an address that's
    491      beyond the actual underlying allocated object.</p>
    492 
    493   <p>With the <tt>inbounds</tt> keyword, the result value of the GEP is
    494      undefined if the address is outside the actual underlying allocated
    495      object and not the address one-past-the-end.</p>
    496 
    497   <p>Without the <tt>inbounds</tt> keyword, there are no restrictions
    498      on computing out-of-bounds addresses. Obviously, performing a load or
    499      a store requires an address of allocated and sufficiently aligned
    500      memory. But the GEP itself is only concerned with computing addresses.</p>
    501 
    502 </div>
    503 
    504 <!-- *********************************************************************** -->
    505 <h3>
    506   <a name="negative">Can array indices be negative?</a>
    507 </h3>
    508 <div>
    509   <p>Yes. This is basically a special case of array indices being out
    510      of bounds.</p>
    511 
    512 </div>
    513 
    514 <!-- *********************************************************************** -->
    515 <h3>
    516   <a name="compare">Can I compare two values computed with GEPs?</a>
    517 </h3>
    518 <div>
    519   <p>Yes. If both addresses are within the same allocated object, or 
    520      one-past-the-end, you'll get the comparison result you expect. If either
    521      is outside of it, integer arithmetic wrapping may occur, so the
    522      comparison may not be meaningful.</p>
    523 
    524 </div>
    525 
    526 <!-- *********************************************************************** -->
    527 <h3>
    528   <a name="types">
    529     Can I do GEP with a different pointer type than the type of
    530     the underlying object?
    531   </a>
    532 </h3>
    533 <div>
    534   <p>Yes. There are no restrictions on bitcasting a pointer value to an arbitrary
    535      pointer type. The types in a GEP serve only to define the parameters for the
    536      underlying integer computation. They need not correspond with the actual
    537      type of the underlying object.</p>
    538 
    539   <p>Furthermore, loads and stores don't have to use the same types as the type
    540      of the underlying object. Types in this context serve only to specify
    541      memory size and alignment. Beyond that there are merely a hint to the
    542      optimizer indicating how the value will likely be used.</p>
    543 
    544 </div>
    545 
    546 <!-- *********************************************************************** -->
    547 <h3>
    548   <a name="null">
    549     Can I cast an object's address to integer and add it to null?
    550   </a>
    551 </h3>
    552 <div>
    553   <p>You can compute an address that way, but if you use GEP to do the add,
    554      you can't use that pointer to actually access the object, unless the
    555      object is managed outside of LLVM.</p>
    556 
    557   <p>The underlying integer computation is sufficiently defined; null has a
    558      defined value -- zero -- and you can add whatever value you want to it.</p>
    559 
    560   <p>However, it's invalid to access (load from or store to) an LLVM-aware
    561      object with such a pointer. This includes GlobalVariables, Allocas, and
    562      objects pointed to by noalias pointers.</p>
    563 
    564   <p>If you really need this functionality, you can do the arithmetic with
    565      explicit integer instructions, and use inttoptr to convert the result to
    566      an address. Most of GEP's special aliasing rules do not apply to pointers
    567      computed from ptrtoint, arithmetic, and inttoptr sequences.</p>
    568 
    569 </div>
    570 
    571 <!-- *********************************************************************** -->
    572 <h3>
    573   <a name="ptrdiff">
    574     Can I compute the distance between two objects, and add
    575     that value to one address to compute the other address?
    576   </a>
    577 </h3>
    578 <div>
    579   <p>As with arithmetic on null, You can use GEP to compute an address that
    580      way, but you can't use that pointer to actually access the object if you
    581      do, unless the object is managed outside of LLVM.</p>
    582 
    583   <p>Also as above, ptrtoint and inttoptr provide an alternative way to do this
    584      which do not have this restriction.</p>
    585 
    586 </div>
    587 
    588 <!-- *********************************************************************** -->
    589 <h3>
    590   <a name="tbaa">Can I do type-based alias analysis on LLVM IR?</a>
    591 </h3>
    592 <div>
    593   <p>You can't do type-based alias analysis using LLVM's built-in type system,
    594      because LLVM has no restrictions on mixing types in addressing, loads or
    595      stores.</p>
    596 
    597   <p>It would be possible to add special annotations to the IR, probably using
    598      metadata, to describe a different type system (such as the C type system),
    599      and do type-based aliasing on top of that. This is a much bigger
    600      undertaking though.</p>
    601 
    602 </div>
    603 
    604 <!-- *********************************************************************** -->
    605 
    606 <h3>
    607   <a name="overflow">What happens if a GEP computation overflows?</a>
    608 </h3>
    609 <div>
    610    <p>If the GEP lacks the <tt>inbounds</tt> keyword, the value is the result
    611       from evaluating the implied two's complement integer computation. However,
    612       since there's no guarantee of where an object will be allocated in the
    613       address space, such values have limited meaning.</p>
    614 
    615   <p>If the GEP has the <tt>inbounds</tt> keyword, the result value is
    616      undefined (a "<a href="LangRef.html#trapvalues">trap value</a>") if the GEP
    617      overflows (i.e. wraps around the end of the address space).</p>
    618   
    619   <p>As such, there are some ramifications of this for inbounds GEPs: scales
    620      implied by array/vector/pointer indices are always known to be "nsw" since
    621      they are signed values that are scaled by the element size.  These values
    622      are also allowed to be negative (e.g. "gep i32 *%P, i32 -1") but the
    623      pointer itself is logically treated as an unsigned value.  This means that
    624      GEPs have an asymmetric relation between the pointer base (which is treated
    625      as unsigned) and the offset applied to it (which is treated as signed). The
    626      result of the additions within the offset calculation cannot have signed
    627      overflow, but when applied to the base pointer, there can be signed
    628      overflow.
    629   </p>
    630   
    631 
    632 </div>
    633 
    634 <!-- *********************************************************************** -->
    635 
    636 <h3>
    637   <a name="check">
    638     How can I tell if my front-end is following the rules?
    639   </a>
    640 </h3>
    641 <div>
    642    <p>There is currently no checker for the getelementptr rules. Currently,
    643       the only way to do this is to manually check each place in your front-end
    644       where GetElementPtr operators are created.</p>
    645 
    646    <p>It's not possible to write a checker which could find all rule
    647       violations statically. It would be possible to write a checker which
    648       works by instrumenting the code with dynamic checks though. Alternatively,
    649       it would be possible to write a static checker which catches a subset of
    650       possible problems. However, no such checker exists today.</p>
    651 
    652 </div>
    653 
    654 </div>
    655 
    656 <!-- *********************************************************************** -->
    657 <h2><a name="rationale">Rationale</a></h2>
    658 <!-- *********************************************************************** -->
    659 <div>
    660 <!-- *********************************************************************** -->
    661 
    662 <h3>
    663   <a name="goals">Why is GEP designed this way?</a>
    664 </h3>
    665 <div>
    666    <p>The design of GEP has the following goals, in rough unofficial
    667       order of priority:</p>
    668    <ul>
    669      <li>Support C, C-like languages, and languages which can be
    670          conceptually lowered into C (this covers a lot).</li>
    671      <li>Support optimizations such as those that are common in
    672          C compilers. In particular, GEP is a cornerstone of LLVM's
    673          <a href="LangRef.html#pointeraliasing">pointer aliasing model</a>.</li>
    674      <li>Provide a consistent method for computing addresses so that
    675          address computations don't need to be a part of load and
    676          store instructions in the IR.</li>
    677      <li>Support non-C-like languages, to the extent that it doesn't
    678          interfere with other goals.</li>
    679      <li>Minimize target-specific information in the IR.</li>
    680    </ul>
    681 </div>
    682 
    683 <!-- *********************************************************************** -->
    684 <h3>
    685   <a name="i32">Why do struct member indices always use i32?</a>
    686 </h3>
    687 <div>
    688   <p>The specific type i32 is probably just a historical artifact, however it's
    689      wide enough for all practical purposes, so there's been no need to change it.
    690      It doesn't necessarily imply i32 address arithmetic; it's just an identifier
    691      which identifies a field in a struct. Requiring that all struct indices be
    692      the same reduces the range of possibilities for cases where two GEPs are
    693      effectively the same but have distinct operand types.</p>
    694 
    695 </div>
    696 
    697 <!-- *********************************************************************** -->
    698 
    699 <h3>
    700   <a name="uglygep">What's an uglygep?</a>
    701 </h3>
    702 <div>
    703   <p>Some LLVM optimizers operate on GEPs by internally lowering them into
    704      more primitive integer expressions, which allows them to be combined
    705      with other integer expressions and/or split into multiple separate
    706      integer expressions. If they've made non-trivial changes, translating
    707      back into LLVM IR can involve reverse-engineering the structure of
    708      the addressing in order to fit it into the static type of the original
    709      first operand. It isn't always possibly to fully reconstruct this
    710      structure; sometimes the underlying addressing doesn't correspond with
    711      the static type at all. In such cases the optimizer instead will emit
    712      a GEP with the base pointer casted to a simple address-unit pointer,
    713      using the name "uglygep". This isn't pretty, but it's just as
    714      valid, and it's sufficient to preserve the pointer aliasing guarantees
    715      that GEP provides.</p>
    716 
    717 </div>
    718 
    719 </div>
    720 
    721 <!-- *********************************************************************** -->
    722 <h2><a name="summary">Summary</a></h2>
    723 <!-- *********************************************************************** -->
    724 
    725 <div>
    726   <p>In summary, here's some things to always remember about the GetElementPtr
    727   instruction:</p>
    728   <ol>
    729     <li>The GEP instruction never accesses memory, it only provides pointer
    730     computations.</li>
    731     <li>The first operand to the GEP instruction is always a pointer and it must
    732     be indexed.</li>
    733     <li>There are no superfluous indices for the GEP instruction.</li>
    734     <li>Trailing zero indices are superfluous for pointer aliasing, but not for
    735     the types of the pointers.</li>
    736     <li>Leading zero indices are not superfluous for pointer aliasing nor the
    737     types of the pointers.</li>
    738   </ol>
    739 </div>
    740 
    741 <!-- *********************************************************************** -->
    742 
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