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      1 =======================================
      2 The Often Misunderstood GEP Instruction
      3 =======================================
      4 
      5 .. contents::
      6    :local:
      7 
      8 Introduction
      9 ============
     10 
     11 This document seeks to dispel the mystery and confusion surrounding LLVM's
     12 `GetElementPtr <LangRef.html#i_getelementptr>`_ (GEP) instruction.  Questions
     13 about the wily GEP instruction are probably the most frequently occurring
     14 questions once a developer gets down to coding with LLVM. Here we lay out the
     15 sources of confusion and show that the GEP instruction is really quite simple.
     16 
     17 Address Computation
     18 ===================
     19 
     20 When people are first confronted with the GEP instruction, they tend to relate
     21 it to known concepts from other programming paradigms, most notably C array
     22 indexing and field selection. GEP closely resembles C array indexing and field
     23 selection, however it is a little different and this leads to the following
     24 questions.
     25 
     26 What is the first index of the GEP instruction?
     27 -----------------------------------------------
     28 
     29 Quick answer: The index stepping through the first operand.
     30 
     31 The confusion with the first index usually arises from thinking about the
     32 GetElementPtr instruction as if it was a C index operator. They aren't the
     33 same. For example, when we write, in "C":
     34 
     35 .. code-block:: c++
     36 
     37   AType *Foo;
     38   ...
     39   X = &Foo->F;
     40 
     41 it is natural to think that there is only one index, the selection of the field
     42 ``F``.  However, in this example, ``Foo`` is a pointer. That pointer
     43 must be indexed explicitly in LLVM. C, on the other hand, indices through it
     44 transparently.  To arrive at the same address location as the C code, you would
     45 provide the GEP instruction with two index operands. The first operand indexes
     46 through the pointer; the second operand indexes the field ``F`` of the
     47 structure, just as if you wrote:
     48 
     49 .. code-block:: c++
     50 
     51   X = &Foo[0].F;
     52 
     53 Sometimes this question gets rephrased as:
     54 
     55 .. _GEP index through first pointer:
     56 
     57   *Why is it okay to index through the first pointer, but subsequent pointers
     58   won't be dereferenced?*
     59 
     60 The answer is simply because memory does not have to be accessed to perform the
     61 computation. The first operand to the GEP instruction must be a value of a
     62 pointer type. The value of the pointer is provided directly to the GEP
     63 instruction as an operand without any need for accessing memory. It must,
     64 therefore be indexed and requires an index operand. Consider this example:
     65 
     66 .. code-block:: c++
     67 
     68   struct munger_struct {
     69     int f1;
     70     int f2;
     71   };
     72   void munge(struct munger_struct *P) {
     73     P[0].f1 = P[1].f1 + P[2].f2;
     74   }
     75   ...
     76   munger_struct Array[3];
     77   ...
     78   munge(Array);
     79 
     80 In this "C" example, the front end compiler (Clang) will generate three GEP
     81 instructions for the three indices through "P" in the assignment statement.  The
     82 function argument ``P`` will be the first operand of each of these GEP
     83 instructions.  The second operand indexes through that pointer.  The third
     84 operand will be the field offset into the ``struct munger_struct`` type, for
     85 either the ``f1`` or ``f2`` field. So, in LLVM assembly the ``munge`` function
     86 looks like:
     87 
     88 .. code-block:: llvm
     89 
     90   void %munge(%struct.munger_struct* %P) {
     91   entry:
     92     %tmp = getelementptr %struct.munger_struct, %struct.munger_struct* %P, i32 1, i32 0
     93     %tmp = load i32* %tmp
     94     %tmp6 = getelementptr %struct.munger_struct, %struct.munger_struct* %P, i32 2, i32 1
     95     %tmp7 = load i32* %tmp6
     96     %tmp8 = add i32 %tmp7, %tmp
     97     %tmp9 = getelementptr %struct.munger_struct, %struct.munger_struct* %P, i32 0, i32 0
     98     store i32 %tmp8, i32* %tmp9
     99     ret void
    100   }
    101 
    102 In each case the first operand is the pointer through which the GEP instruction
    103 starts. The same is true whether the first operand is an argument, allocated
    104 memory, or a global variable.
    105 
    106 To make this clear, let's consider a more obtuse example:
    107 
    108 .. code-block:: llvm
    109 
    110   %MyVar = uninitialized global i32
    111   ...
    112   %idx1 = getelementptr i32, i32* %MyVar, i64 0
    113   %idx2 = getelementptr i32, i32* %MyVar, i64 1
    114   %idx3 = getelementptr i32, i32* %MyVar, i64 2
    115 
    116 These GEP instructions are simply making address computations from the base
    117 address of ``MyVar``.  They compute, as follows (using C syntax):
    118 
    119 .. code-block:: c++
    120 
    121   idx1 = (char*) &MyVar + 0
    122   idx2 = (char*) &MyVar + 4
    123   idx3 = (char*) &MyVar + 8
    124 
    125 Since the type ``i32`` is known to be four bytes long, the indices 0, 1 and 2
    126 translate into memory offsets of 0, 4, and 8, respectively. No memory is
    127 accessed to make these computations because the address of ``%MyVar`` is passed
    128 directly to the GEP instructions.
    129 
    130 The obtuse part of this example is in the cases of ``%idx2`` and ``%idx3``. They
    131 result in the computation of addresses that point to memory past the end of the
    132 ``%MyVar`` global, which is only one ``i32`` long, not three ``i32``\s long.
    133 While this is legal in LLVM, it is inadvisable because any load or store with
    134 the pointer that results from these GEP instructions would produce undefined
    135 results.
    136 
    137 Why is the extra 0 index required?
    138 ----------------------------------
    139 
    140 Quick answer: there are no superfluous indices.
    141 
    142 This question arises most often when the GEP instruction is applied to a global
    143 variable which is always a pointer type. For example, consider this:
    144 
    145 .. code-block:: llvm
    146 
    147   %MyStruct = uninitialized global { float*, i32 }
    148   ...
    149   %idx = getelementptr { float*, i32 }, { float*, i32 }* %MyStruct, i64 0, i32 1
    150 
    151 The GEP above yields an ``i32*`` by indexing the ``i32`` typed field of the
    152 structure ``%MyStruct``. When people first look at it, they wonder why the ``i64
    153 0`` index is needed. However, a closer inspection of how globals and GEPs work
    154 reveals the need. Becoming aware of the following facts will dispel the
    155 confusion:
    156 
    157 #. The type of ``%MyStruct`` is *not* ``{ float*, i32 }`` but rather ``{ float*,
    158    i32 }*``. That is, ``%MyStruct`` is a pointer to a structure containing a
    159    pointer to a ``float`` and an ``i32``.
    160 
    161 #. Point #1 is evidenced by noticing the type of the first operand of the GEP
    162    instruction (``%MyStruct``) which is ``{ float*, i32 }*``.
    163 
    164 #. The first index, ``i64 0`` is required to step over the global variable
    165    ``%MyStruct``.  Since the first argument to the GEP instruction must always
    166    be a value of pointer type, the first index steps through that pointer. A
    167    value of 0 means 0 elements offset from that pointer.
    168 
    169 #. The second index, ``i32 1`` selects the second field of the structure (the
    170    ``i32``).
    171 
    172 What is dereferenced by GEP?
    173 ----------------------------
    174 
    175 Quick answer: nothing.
    176 
    177 The GetElementPtr instruction dereferences nothing. That is, it doesn't access
    178 memory in any way. That's what the Load and Store instructions are for.  GEP is
    179 only involved in the computation of addresses. For example, consider this:
    180 
    181 .. code-block:: llvm
    182 
    183   %MyVar = uninitialized global { [40 x i32 ]* }
    184   ...
    185   %idx = getelementptr { [40 x i32]* }, { [40 x i32]* }* %MyVar, i64 0, i32 0, i64 0, i64 17
    186 
    187 In this example, we have a global variable, ``%MyVar`` that is a pointer to a
    188 structure containing a pointer to an array of 40 ints. The GEP instruction seems
    189 to be accessing the 18th integer of the structure's array of ints. However, this
    190 is actually an illegal GEP instruction. It won't compile. The reason is that the
    191 pointer in the structure *must* be dereferenced in order to index into the
    192 array of 40 ints. Since the GEP instruction never accesses memory, it is
    193 illegal.
    194 
    195 In order to access the 18th integer in the array, you would need to do the
    196 following:
    197 
    198 .. code-block:: llvm
    199 
    200   %idx = getelementptr { [40 x i32]* }, { [40 x i32]* }* %, i64 0, i32 0
    201   %arr = load [40 x i32]** %idx
    202   %idx = getelementptr [40 x i32], [40 x i32]* %arr, i64 0, i64 17
    203 
    204 In this case, we have to load the pointer in the structure with a load
    205 instruction before we can index into the array. If the example was changed to:
    206 
    207 .. code-block:: llvm
    208 
    209   %MyVar = uninitialized global { [40 x i32 ] }
    210   ...
    211   %idx = getelementptr { [40 x i32] }, { [40 x i32] }*, i64 0, i32 0, i64 17
    212 
    213 then everything works fine. In this case, the structure does not contain a
    214 pointer and the GEP instruction can index through the global variable, into the
    215 first field of the structure and access the 18th ``i32`` in the array there.
    216 
    217 Why don't GEP x,0,0,1 and GEP x,1 alias?
    218 ----------------------------------------
    219 
    220 Quick Answer: They compute different address locations.
    221 
    222 If you look at the first indices in these GEP instructions you find that they
    223 are different (0 and 1), therefore the address computation diverges with that
    224 index. Consider this example:
    225 
    226 .. code-block:: llvm
    227 
    228   %MyVar = global { [10 x i32] }
    229   %idx1 = getelementptr { [10 x i32] }, { [10 x i32] }* %MyVar, i64 0, i32 0, i64 1
    230   %idx2 = getelementptr { [10 x i32] }, { [10 x i32] }* %MyVar, i64 1
    231 
    232 In this example, ``idx1`` computes the address of the second integer in the
    233 array that is in the structure in ``%MyVar``, that is ``MyVar+4``. The type of
    234 ``idx1`` is ``i32*``. However, ``idx2`` computes the address of *the next*
    235 structure after ``%MyVar``. The type of ``idx2`` is ``{ [10 x i32] }*`` and its
    236 value is equivalent to ``MyVar + 40`` because it indexes past the ten 4-byte
    237 integers in ``MyVar``. Obviously, in such a situation, the pointers don't
    238 alias.
    239 
    240 Why do GEP x,1,0,0 and GEP x,1 alias?
    241 -------------------------------------
    242 
    243 Quick Answer: They compute the same address location.
    244 
    245 These two GEP instructions will compute the same address because indexing
    246 through the 0th element does not change the address. However, it does change the
    247 type. Consider this example:
    248 
    249 .. code-block:: llvm
    250 
    251   %MyVar = global { [10 x i32] }
    252   %idx1 = getelementptr { [10 x i32] }, { [10 x i32] }* %MyVar, i64 1, i32 0, i64 0
    253   %idx2 = getelementptr { [10 x i32] }, { [10 x i32] }* %MyVar, i64 1
    254 
    255 In this example, the value of ``%idx1`` is ``%MyVar+40`` and its type is
    256 ``i32*``. The value of ``%idx2`` is also ``MyVar+40`` but its type is ``{ [10 x
    257 i32] }*``.
    258 
    259 Can GEP index into vector elements?
    260 -----------------------------------
    261 
    262 This hasn't always been forcefully disallowed, though it's not recommended.  It
    263 leads to awkward special cases in the optimizers, and fundamental inconsistency
    264 in the IR. In the future, it will probably be outright disallowed.
    265 
    266 What effect do address spaces have on GEPs?
    267 -------------------------------------------
    268 
    269 None, except that the address space qualifier on the first operand pointer type
    270 always matches the address space qualifier on the result type.
    271 
    272 How is GEP different from ``ptrtoint``, arithmetic, and ``inttoptr``?
    273 ---------------------------------------------------------------------
    274 
    275 It's very similar; there are only subtle differences.
    276 
    277 With ptrtoint, you have to pick an integer type. One approach is to pick i64;
    278 this is safe on everything LLVM supports (LLVM internally assumes pointers are
    279 never wider than 64 bits in many places), and the optimizer will actually narrow
    280 the i64 arithmetic down to the actual pointer size on targets which don't
    281 support 64-bit arithmetic in most cases. However, there are some cases where it
    282 doesn't do this. With GEP you can avoid this problem.
    283 
    284 Also, GEP carries additional pointer aliasing rules. It's invalid to take a GEP
    285 from one object, address into a different separately allocated object, and
    286 dereference it. IR producers (front-ends) must follow this rule, and consumers
    287 (optimizers, specifically alias analysis) benefit from being able to rely on
    288 it. See the `Rules`_ section for more information.
    289 
    290 And, GEP is more concise in common cases.
    291 
    292 However, for the underlying integer computation implied, there is no
    293 difference.
    294 
    295 
    296 I'm writing a backend for a target which needs custom lowering for GEP. How do I do this?
    297 -----------------------------------------------------------------------------------------
    298 
    299 You don't. The integer computation implied by a GEP is target-independent.
    300 Typically what you'll need to do is make your backend pattern-match expressions
    301 trees involving ADD, MUL, etc., which are what GEP is lowered into. This has the
    302 advantage of letting your code work correctly in more cases.
    303 
    304 GEP does use target-dependent parameters for the size and layout of data types,
    305 which targets can customize.
    306 
    307 If you require support for addressing units which are not 8 bits, you'll need to
    308 fix a lot of code in the backend, with GEP lowering being only a small piece of
    309 the overall picture.
    310 
    311 How does VLA addressing work with GEPs?
    312 ---------------------------------------
    313 
    314 GEPs don't natively support VLAs. LLVM's type system is entirely static, and GEP
    315 address computations are guided by an LLVM type.
    316 
    317 VLA indices can be implemented as linearized indices. For example, an expression
    318 like ``X[a][b][c]``, must be effectively lowered into a form like
    319 ``X[a*m+b*n+c]``, so that it appears to the GEP as a single-dimensional array
    320 reference.
    321 
    322 This means if you want to write an analysis which understands array indices and
    323 you want to support VLAs, your code will have to be prepared to reverse-engineer
    324 the linearization. One way to solve this problem is to use the ScalarEvolution
    325 library, which always presents VLA and non-VLA indexing in the same manner.
    326 
    327 .. _Rules:
    328 
    329 Rules
    330 =====
    331 
    332 What happens if an array index is out of bounds?
    333 ------------------------------------------------
    334 
    335 There are two senses in which an array index can be out of bounds.
    336 
    337 First, there's the array type which comes from the (static) type of the first
    338 operand to the GEP. Indices greater than the number of elements in the
    339 corresponding static array type are valid. There is no problem with out of
    340 bounds indices in this sense. Indexing into an array only depends on the size of
    341 the array element, not the number of elements.
    342 
    343 A common example of how this is used is arrays where the size is not known.
    344 It's common to use array types with zero length to represent these. The fact
    345 that the static type says there are zero elements is irrelevant; it's perfectly
    346 valid to compute arbitrary element indices, as the computation only depends on
    347 the size of the array element, not the number of elements. Note that zero-sized
    348 arrays are not a special case here.
    349 
    350 This sense is unconnected with ``inbounds`` keyword. The ``inbounds`` keyword is
    351 designed to describe low-level pointer arithmetic overflow conditions, rather
    352 than high-level array indexing rules.
    353 
    354 Analysis passes which wish to understand array indexing should not assume that
    355 the static array type bounds are respected.
    356 
    357 The second sense of being out of bounds is computing an address that's beyond
    358 the actual underlying allocated object.
    359 
    360 With the ``inbounds`` keyword, the result value of the GEP is undefined if the
    361 address is outside the actual underlying allocated object and not the address
    362 one-past-the-end.
    363 
    364 Without the ``inbounds`` keyword, there are no restrictions on computing
    365 out-of-bounds addresses. Obviously, performing a load or a store requires an
    366 address of allocated and sufficiently aligned memory. But the GEP itself is only
    367 concerned with computing addresses.
    368 
    369 Can array indices be negative?
    370 ------------------------------
    371 
    372 Yes. This is basically a special case of array indices being out of bounds.
    373 
    374 Can I compare two values computed with GEPs?
    375 --------------------------------------------
    376 
    377 Yes. If both addresses are within the same allocated object, or
    378 one-past-the-end, you'll get the comparison result you expect. If either is
    379 outside of it, integer arithmetic wrapping may occur, so the comparison may not
    380 be meaningful.
    381 
    382 Can I do GEP with a different pointer type than the type of the underlying object?
    383 ----------------------------------------------------------------------------------
    384 
    385 Yes. There are no restrictions on bitcasting a pointer value to an arbitrary
    386 pointer type. The types in a GEP serve only to define the parameters for the
    387 underlying integer computation. They need not correspond with the actual type of
    388 the underlying object.
    389 
    390 Furthermore, loads and stores don't have to use the same types as the type of
    391 the underlying object. Types in this context serve only to specify memory size
    392 and alignment. Beyond that there are merely a hint to the optimizer indicating
    393 how the value will likely be used.
    394 
    395 Can I cast an object's address to integer and add it to null?
    396 -------------------------------------------------------------
    397 
    398 You can compute an address that way, but if you use GEP to do the add, you can't
    399 use that pointer to actually access the object, unless the object is managed
    400 outside of LLVM.
    401 
    402 The underlying integer computation is sufficiently defined; null has a defined
    403 value --- zero --- and you can add whatever value you want to it.
    404 
    405 However, it's invalid to access (load from or store to) an LLVM-aware object
    406 with such a pointer. This includes ``GlobalVariables``, ``Allocas``, and objects
    407 pointed to by noalias pointers.
    408 
    409 If you really need this functionality, you can do the arithmetic with explicit
    410 integer instructions, and use inttoptr to convert the result to an address. Most
    411 of GEP's special aliasing rules do not apply to pointers computed from ptrtoint,
    412 arithmetic, and inttoptr sequences.
    413 
    414 Can I compute the distance between two objects, and add that value to one address to compute the other address?
    415 ---------------------------------------------------------------------------------------------------------------
    416 
    417 As with arithmetic on null, you can use GEP to compute an address that way, but
    418 you can't use that pointer to actually access the object if you do, unless the
    419 object is managed outside of LLVM.
    420 
    421 Also as above, ptrtoint and inttoptr provide an alternative way to do this which
    422 do not have this restriction.
    423 
    424 Can I do type-based alias analysis on LLVM IR?
    425 ----------------------------------------------
    426 
    427 You can't do type-based alias analysis using LLVM's built-in type system,
    428 because LLVM has no restrictions on mixing types in addressing, loads or stores.
    429 
    430 LLVM's type-based alias analysis pass uses metadata to describe a different type
    431 system (such as the C type system), and performs type-based aliasing on top of
    432 that.  Further details are in the `language reference <LangRef.html#tbaa>`_.
    433 
    434 What happens if a GEP computation overflows?
    435 --------------------------------------------
    436 
    437 If the GEP lacks the ``inbounds`` keyword, the value is the result from
    438 evaluating the implied two's complement integer computation. However, since
    439 there's no guarantee of where an object will be allocated in the address space,
    440 such values have limited meaning.
    441 
    442 If the GEP has the ``inbounds`` keyword, the result value is undefined (a "trap
    443 value") if the GEP overflows (i.e. wraps around the end of the address space).
    444 
    445 As such, there are some ramifications of this for inbounds GEPs: scales implied
    446 by array/vector/pointer indices are always known to be "nsw" since they are
    447 signed values that are scaled by the element size.  These values are also
    448 allowed to be negative (e.g. "``gep i32 *%P, i32 -1``") but the pointer itself
    449 is logically treated as an unsigned value.  This means that GEPs have an
    450 asymmetric relation between the pointer base (which is treated as unsigned) and
    451 the offset applied to it (which is treated as signed). The result of the
    452 additions within the offset calculation cannot have signed overflow, but when
    453 applied to the base pointer, there can be signed overflow.
    454 
    455 How can I tell if my front-end is following the rules?
    456 ------------------------------------------------------
    457 
    458 There is currently no checker for the getelementptr rules. Currently, the only
    459 way to do this is to manually check each place in your front-end where
    460 GetElementPtr operators are created.
    461 
    462 It's not possible to write a checker which could find all rule violations
    463 statically. It would be possible to write a checker which works by instrumenting
    464 the code with dynamic checks though. Alternatively, it would be possible to
    465 write a static checker which catches a subset of possible problems. However, no
    466 such checker exists today.
    467 
    468 Rationale
    469 =========
    470 
    471 Why is GEP designed this way?
    472 -----------------------------
    473 
    474 The design of GEP has the following goals, in rough unofficial order of
    475 priority:
    476 
    477 * Support C, C-like languages, and languages which can be conceptually lowered
    478   into C (this covers a lot).
    479 
    480 * Support optimizations such as those that are common in C compilers. In
    481   particular, GEP is a cornerstone of LLVM's `pointer aliasing
    482   model <LangRef.html#pointeraliasing>`_.
    483 
    484 * Provide a consistent method for computing addresses so that address
    485   computations don't need to be a part of load and store instructions in the IR.
    486 
    487 * Support non-C-like languages, to the extent that it doesn't interfere with
    488   other goals.
    489 
    490 * Minimize target-specific information in the IR.
    491 
    492 Why do struct member indices always use ``i32``?
    493 ------------------------------------------------
    494 
    495 The specific type i32 is probably just a historical artifact, however it's wide
    496 enough for all practical purposes, so there's been no need to change it.  It
    497 doesn't necessarily imply i32 address arithmetic; it's just an identifier which
    498 identifies a field in a struct. Requiring that all struct indices be the same
    499 reduces the range of possibilities for cases where two GEPs are effectively the
    500 same but have distinct operand types.
    501 
    502 What's an uglygep?
    503 ------------------
    504 
    505 Some LLVM optimizers operate on GEPs by internally lowering them into more
    506 primitive integer expressions, which allows them to be combined with other
    507 integer expressions and/or split into multiple separate integer expressions. If
    508 they've made non-trivial changes, translating back into LLVM IR can involve
    509 reverse-engineering the structure of the addressing in order to fit it into the
    510 static type of the original first operand. It isn't always possibly to fully
    511 reconstruct this structure; sometimes the underlying addressing doesn't
    512 correspond with the static type at all. In such cases the optimizer instead will
    513 emit a GEP with the base pointer casted to a simple address-unit pointer, using
    514 the name "uglygep". This isn't pretty, but it's just as valid, and it's
    515 sufficient to preserve the pointer aliasing guarantees that GEP provides.
    516 
    517 Summary
    518 =======
    519 
    520 In summary, here's some things to always remember about the GetElementPtr
    521 instruction:
    522 
    523 
    524 #. The GEP instruction never accesses memory, it only provides pointer
    525    computations.
    526 
    527 #. The first operand to the GEP instruction is always a pointer and it must be
    528    indexed.
    529 
    530 #. There are no superfluous indices for the GEP instruction.
    531 
    532 #. Trailing zero indices are superfluous for pointer aliasing, but not for the
    533    types of the pointers.
    534 
    535 #. Leading zero indices are not superfluous for pointer aliasing nor the types
    536    of the pointers.
    537