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      1 .. _gep:
      2 
      3 =======================================
      4 The Often Misunderstood GEP Instruction
      5 =======================================
      6 
      7 .. contents::
      8    :local:
      9 
     10 Introduction
     11 ============
     12 
     13 This document seeks to dispel the mystery and confusion surrounding LLVM's
     14 `GetElementPtr <LangRef.html#i_getelementptr>`_ (GEP) instruction.  Questions
     15 about the wily GEP instruction are probably the most frequently occurring
     16 questions once a developer gets down to coding with LLVM. Here we lay out the
     17 sources of confusion and show that the GEP instruction is really quite simple.
     18 
     19 Address Computation
     20 ===================
     21 
     22 When people are first confronted with the GEP instruction, they tend to relate
     23 it to known concepts from other programming paradigms, most notably C array
     24 indexing and field selection. GEP closely resembles C array indexing and field
     25 selection, however it's is a little different and this leads to the following
     26 questions.
     27 
     28 What is the first index of the GEP instruction?
     29 -----------------------------------------------
     30 
     31 Quick answer: The index stepping through the first operand.
     32 
     33 The confusion with the first index usually arises from thinking about the
     34 GetElementPtr instruction as if it was a C index operator. They aren't the
     35 same. For example, when we write, in "C":
     36 
     37 .. code-block:: c++
     38 
     39   AType *Foo;
     40   ...
     41   X = &Foo->F;
     42 
     43 it is natural to think that there is only one index, the selection of the field
     44 ``F``.  However, in this example, ``Foo`` is a pointer. That pointer
     45 must be indexed explicitly in LLVM. C, on the other hand, indices through it
     46 transparently.  To arrive at the same address location as the C code, you would
     47 provide the GEP instruction with two index operands. The first operand indexes
     48 through the pointer; the second operand indexes the field ``F`` of the
     49 structure, just as if you wrote:
     50 
     51 .. code-block:: c++
     52 
     53   X = &Foo[0].F;
     54 
     55 Sometimes this question gets rephrased as:
     56 
     57 .. _GEP index through first pointer:
     58 
     59   *Why is it okay to index through the first pointer, but subsequent pointers
     60   won't be dereferenced?*
     61 
     62 The answer is simply because memory does not have to be accessed to perform the
     63 computation. The first operand to the GEP instruction must be a value of a
     64 pointer type. The value of the pointer is provided directly to the GEP
     65 instruction as an operand without any need for accessing memory. It must,
     66 therefore be indexed and requires an index operand. Consider this example:
     67 
     68 .. code-block:: c++
     69 
     70   struct munger_struct {
     71     int f1;
     72     int f2;
     73   };
     74   void munge(struct munger_struct *P) {
     75     P[0].f1 = P[1].f1 + P[2].f2;
     76   }
     77   ...
     78   munger_struct Array[3];
     79   ...
     80   munge(Array);
     81 
     82 In this "C" example, the front end compiler (llvm-gcc) will generate three GEP
     83 instructions for the three indices through "P" in the assignment statement.  The
     84 function argument ``P`` will be the first operand of each of these GEP
     85 instructions.  The second operand indexes through that pointer.  The third
     86 operand will be the field offset into the ``struct munger_struct`` type, for
     87 either the ``f1`` or ``f2`` field. So, in LLVM assembly the ``munge`` function
     88 looks like:
     89 
     90 .. code-block:: llvm
     91 
     92   void %munge(%struct.munger_struct* %P) {
     93   entry:
     94     %tmp = getelementptr %struct.munger_struct* %P, i32 1, i32 0
     95     %tmp = load i32* %tmp
     96     %tmp6 = getelementptr %struct.munger_struct* %P, i32 2, i32 1
     97     %tmp7 = load i32* %tmp6
     98     %tmp8 = add i32 %tmp7, %tmp
     99     %tmp9 = getelementptr %struct.munger_struct* %P, i32 0, i32 0
    100     store i32 %tmp8, i32* %tmp9
    101     ret void
    102   }
    103 
    104 In each case the first operand is the pointer through which the GEP instruction
    105 starts. The same is true whether the first operand is an argument, allocated
    106 memory, or a global variable.
    107 
    108 To make this clear, let's consider a more obtuse example:
    109 
    110 .. code-block:: llvm
    111 
    112   %MyVar = uninitialized global i32
    113   ...
    114   %idx1 = getelementptr i32* %MyVar, i64 0
    115   %idx2 = getelementptr i32* %MyVar, i64 1
    116   %idx3 = getelementptr i32* %MyVar, i64 2
    117 
    118 These GEP instructions are simply making address computations from the base
    119 address of ``MyVar``.  They compute, as follows (using C syntax):
    120 
    121 .. code-block:: c++
    122 
    123   idx1 = (char*) &MyVar + 0
    124   idx2 = (char*) &MyVar + 4
    125   idx3 = (char*) &MyVar + 8
    126 
    127 Since the type ``i32`` is known to be four bytes long, the indices 0, 1 and 2
    128 translate into memory offsets of 0, 4, and 8, respectively. No memory is
    129 accessed to make these computations because the address of ``%MyVar`` is passed
    130 directly to the GEP instructions.
    131 
    132 The obtuse part of this example is in the cases of ``%idx2`` and ``%idx3``. They
    133 result in the computation of addresses that point to memory past the end of the
    134 ``%MyVar`` global, which is only one ``i32`` long, not three ``i32``\s long.
    135 While this is legal in LLVM, it is inadvisable because any load or store with
    136 the pointer that results from these GEP instructions would produce undefined
    137 results.
    138 
    139 Why is the extra 0 index required?
    140 ----------------------------------
    141 
    142 Quick answer: there are no superfluous indices.
    143 
    144 This question arises most often when the GEP instruction is applied to a global
    145 variable which is always a pointer type. For example, consider this:
    146 
    147 .. code-block:: llvm
    148 
    149   %MyStruct = uninitialized global { float*, i32 }
    150   ...
    151   %idx = getelementptr { float*, i32 }* %MyStruct, i64 0, i32 1
    152 
    153 The GEP above yields an ``i32*`` by indexing the ``i32`` typed field of the
    154 structure ``%MyStruct``. When people first look at it, they wonder why the ``i64
    155 0`` index is needed. However, a closer inspection of how globals and GEPs work
    156 reveals the need. Becoming aware of the following facts will dispel the
    157 confusion:
    158 
    159 #. The type of ``%MyStruct`` is *not* ``{ float*, i32 }`` but rather ``{ float*,
    160    i32 }*``. That is, ``%MyStruct`` is a pointer to a structure containing a
    161    pointer to a ``float`` and an ``i32``.
    162 
    163 #. Point #1 is evidenced by noticing the type of the first operand of the GEP
    164    instruction (``%MyStruct``) which is ``{ float*, i32 }*``.
    165 
    166 #. The first index, ``i64 0`` is required to step over the global variable
    167    ``%MyStruct``.  Since the first argument to the GEP instruction must always
    168    be a value of pointer type, the first index steps through that pointer. A
    169    value of 0 means 0 elements offset from that pointer.
    170 
    171 #. The second index, ``i32 1`` selects the second field of the structure (the
    172    ``i32``).
    173 
    174 What is dereferenced by GEP?
    175 ----------------------------
    176 
    177 Quick answer: nothing.
    178 
    179 The GetElementPtr instruction dereferences nothing. That is, it doesn't access
    180 memory in any way. That's what the Load and Store instructions are for.  GEP is
    181 only involved in the computation of addresses. For example, consider this:
    182 
    183 .. code-block:: llvm
    184 
    185   %MyVar = uninitialized global { [40 x i32 ]* }
    186   ...
    187   %idx = getelementptr { [40 x i32]* }* %MyVar, i64 0, i32 0, i64 0, i64 17
    188 
    189 In this example, we have a global variable, ``%MyVar`` that is a pointer to a
    190 structure containing a pointer to an array of 40 ints. The GEP instruction seems
    191 to be accessing the 18th integer of the structure's array of ints. However, this
    192 is actually an illegal GEP instruction. It won't compile. The reason is that the
    193 pointer in the structure <i>must</i> be dereferenced in order to index into the
    194 array of 40 ints. Since the GEP instruction never accesses memory, it is
    195 illegal.
    196 
    197 In order to access the 18th integer in the array, you would need to do the
    198 following:
    199 
    200 .. code-block:: llvm
    201 
    202   %idx = getelementptr { [40 x i32]* }* %, i64 0, i32 0
    203   %arr = load [40 x i32]** %idx
    204   %idx = getelementptr [40 x i32]* %arr, i64 0, i64 17
    205 
    206 In this case, we have to load the pointer in the structure with a load
    207 instruction before we can index into the array. If the example was changed to:
    208 
    209 .. code-block:: llvm
    210 
    211   %MyVar = uninitialized global { [40 x i32 ] }
    212   ...
    213   %idx = getelementptr { [40 x i32] }*, i64 0, i32 0, i64 17
    214 
    215 then everything works fine. In this case, the structure does not contain a
    216 pointer and the GEP instruction can index through the global variable, into the
    217 first field of the structure and access the 18th ``i32`` in the array there.
    218 
    219 Why don't GEP x,0,0,1 and GEP x,1 alias?
    220 ----------------------------------------
    221 
    222 Quick Answer: They compute different address locations.
    223 
    224 If you look at the first indices in these GEP instructions you find that they
    225 are different (0 and 1), therefore the address computation diverges with that
    226 index. Consider this example:
    227 
    228 .. code-block:: llvm
    229 
    230   %MyVar = global { [10 x i32 ] }
    231   %idx1 = getelementptr { [10 x i32 ] }* %MyVar, i64 0, i32 0, i64 1
    232   %idx2 = getelementptr { [10 x i32 ] }* %MyVar, i64 1
    233 
    234 In this example, ``idx1`` computes the address of the second integer in the
    235 array that is in the structure in ``%MyVar``, that is ``MyVar+4``. The type of
    236 ``idx1`` is ``i32*``. However, ``idx2`` computes the address of *the next*
    237 structure after ``%MyVar``. The type of ``idx2`` is ``{ [10 x i32] }*`` and its
    238 value is equivalent to ``MyVar + 40`` because it indexes past the ten 4-byte
    239 integers in ``MyVar``. Obviously, in such a situation, the pointers don't
    240 alias.
    241 
    242 Why do GEP x,1,0,0 and GEP x,1 alias?
    243 -------------------------------------
    244 
    245 Quick Answer: They compute the same address location.
    246 
    247 These two GEP instructions will compute the same address because indexing
    248 through the 0th element does not change the address. However, it does change the
    249 type. Consider this example:
    250 
    251 .. code-block:: llvm
    252 
    253   %MyVar = global { [10 x i32 ] }
    254   %idx1 = getelementptr { [10 x i32 ] }* %MyVar, i64 1, i32 0, i64 0
    255   %idx2 = getelementptr { [10 x i32 ] }* %MyVar, i64 1
    256 
    257 In this example, the value of ``%idx1`` is ``%MyVar+40`` and its type is
    258 ``i32*``. The value of ``%idx2`` is also ``MyVar+40`` but its type is ``{ [10 x
    259 i32] }*``.
    260 
    261 Can GEP index into vector elements?
    262 -----------------------------------
    263 
    264 This hasn't always been forcefully disallowed, though it's not recommended.  It
    265 leads to awkward special cases in the optimizers, and fundamental inconsistency
    266 in the IR. In the future, it will probably be outright disallowed.
    267 
    268 What effect do address spaces have on GEPs?
    269 -------------------------------------------
    270 
    271 None, except that the address space qualifier on the first operand pointer type
    272 always matches the address space qualifier on the result type.
    273 
    274 How is GEP different from ``ptrtoint``, arithmetic, and ``inttoptr``?
    275 ---------------------------------------------------------------------
    276 
    277 It's very similar; there are only subtle differences.
    278 
    279 With ptrtoint, you have to pick an integer type. One approach is to pick i64;
    280 this is safe on everything LLVM supports (LLVM internally assumes pointers are
    281 never wider than 64 bits in many places), and the optimizer will actually narrow
    282 the i64 arithmetic down to the actual pointer size on targets which don't
    283 support 64-bit arithmetic in most cases. However, there are some cases where it
    284 doesn't do this. With GEP you can avoid this problem.
    285 
    286 Also, GEP carries additional pointer aliasing rules. It's invalid to take a GEP
    287 from one object, address into a different separately allocated object, and
    288 dereference it. IR producers (front-ends) must follow this rule, and consumers
    289 (optimizers, specifically alias analysis) benefit from being able to rely on
    290 it. See the `Rules`_ section for more information.
    291 
    292 And, GEP is more concise in common cases.
    293 
    294 However, for the underlying integer computation implied, there is no
    295 difference.
    296 
    297 
    298 I'm writing a backend for a target which needs custom lowering for GEP. How do I do this?
    299 -----------------------------------------------------------------------------------------
    300 
    301 You don't. The integer computation implied by a GEP is target-independent.
    302 Typically what you'll need to do is make your backend pattern-match expressions
    303 trees involving ADD, MUL, etc., which are what GEP is lowered into. This has the
    304 advantage of letting your code work correctly in more cases.
    305 
    306 GEP does use target-dependent parameters for the size and layout of data types,
    307 which targets can customize.
    308 
    309 If you require support for addressing units which are not 8 bits, you'll need to
    310 fix a lot of code in the backend, with GEP lowering being only a small piece of
    311 the overall picture.
    312 
    313 How does VLA addressing work with GEPs?
    314 ---------------------------------------
    315 
    316 GEPs don't natively support VLAs. LLVM's type system is entirely static, and GEP
    317 address computations are guided by an LLVM type.
    318 
    319 VLA indices can be implemented as linearized indices. For example, an expression
    320 like ``X[a][b][c]``, must be effectively lowered into a form like
    321 ``X[a*m+b*n+c]``, so that it appears to the GEP as a single-dimensional array
    322 reference.
    323 
    324 This means if you want to write an analysis which understands array indices and
    325 you want to support VLAs, your code will have to be prepared to reverse-engineer
    326 the linearization. One way to solve this problem is to use the ScalarEvolution
    327 library, which always presents VLA and non-VLA indexing in the same manner.
    328 
    329 .. _Rules:
    330 
    331 Rules
    332 =====
    333 
    334 What happens if an array index is out of bounds?
    335 ------------------------------------------------
    336 
    337 There are two senses in which an array index can be out of bounds.
    338 
    339 First, there's the array type which comes from the (static) type of the first
    340 operand to the GEP. Indices greater than the number of elements in the
    341 corresponding static array type are valid. There is no problem with out of
    342 bounds indices in this sense. Indexing into an array only depends on the size of
    343 the array element, not the number of elements.
    344 
    345 A common example of how this is used is arrays where the size is not known.
    346 It's common to use array types with zero length to represent these. The fact
    347 that the static type says there are zero elements is irrelevant; it's perfectly
    348 valid to compute arbitrary element indices, as the computation only depends on
    349 the size of the array element, not the number of elements. Note that zero-sized
    350 arrays are not a special case here.
    351 
    352 This sense is unconnected with ``inbounds`` keyword. The ``inbounds`` keyword is
    353 designed to describe low-level pointer arithmetic overflow conditions, rather
    354 than high-level array indexing rules.
    355 
    356 Analysis passes which wish to understand array indexing should not assume that
    357 the static array type bounds are respected.
    358 
    359 The second sense of being out of bounds is computing an address that's beyond
    360 the actual underlying allocated object.
    361 
    362 With the ``inbounds`` keyword, the result value of the GEP is undefined if the
    363 address is outside the actual underlying allocated object and not the address
    364 one-past-the-end.
    365 
    366 Without the ``inbounds`` keyword, there are no restrictions on computing
    367 out-of-bounds addresses. Obviously, performing a load or a store requires an
    368 address of allocated and sufficiently aligned memory. But the GEP itself is only
    369 concerned with computing addresses.
    370 
    371 Can array indices be negative?
    372 ------------------------------
    373 
    374 Yes. This is basically a special case of array indices being out of bounds.
    375 
    376 Can I compare two values computed with GEPs?
    377 --------------------------------------------
    378 
    379 Yes. If both addresses are within the same allocated object, or
    380 one-past-the-end, you'll get the comparison result you expect. If either is
    381 outside of it, integer arithmetic wrapping may occur, so the comparison may not
    382 be meaningful.
    383 
    384 Can I do GEP with a different pointer type than the type of the underlying object?
    385 ----------------------------------------------------------------------------------
    386 
    387 Yes. There are no restrictions on bitcasting a pointer value to an arbitrary
    388 pointer type. The types in a GEP serve only to define the parameters for the
    389 underlying integer computation. They need not correspond with the actual type of
    390 the underlying object.
    391 
    392 Furthermore, loads and stores don't have to use the same types as the type of
    393 the underlying object. Types in this context serve only to specify memory size
    394 and alignment. Beyond that there are merely a hint to the optimizer indicating
    395 how the value will likely be used.
    396 
    397 Can I cast an object's address to integer and add it to null?
    398 -------------------------------------------------------------
    399 
    400 You can compute an address that way, but if you use GEP to do the add, you can't
    401 use that pointer to actually access the object, unless the object is managed
    402 outside of LLVM.
    403 
    404 The underlying integer computation is sufficiently defined; null has a defined
    405 value --- zero --- and you can add whatever value you want to it.
    406 
    407 However, it's invalid to access (load from or store to) an LLVM-aware object
    408 with such a pointer. This includes ``GlobalVariables``, ``Allocas``, and objects
    409 pointed to by noalias pointers.
    410 
    411 If you really need this functionality, you can do the arithmetic with explicit
    412 integer instructions, and use inttoptr to convert the result to an address. Most
    413 of GEP's special aliasing rules do not apply to pointers computed from ptrtoint,
    414 arithmetic, and inttoptr sequences.
    415 
    416 Can I compute the distance between two objects, and add that value to one address to compute the other address?
    417 ---------------------------------------------------------------------------------------------------------------
    418 
    419 As with arithmetic on null, You can use GEP to compute an address that way, but
    420 you can't use that pointer to actually access the object if you do, unless the
    421 object is managed outside of LLVM.
    422 
    423 Also as above, ptrtoint and inttoptr provide an alternative way to do this which
    424 do not have this restriction.
    425 
    426 Can I do type-based alias analysis on LLVM IR?
    427 ----------------------------------------------
    428 
    429 You can't do type-based alias analysis using LLVM's built-in type system,
    430 because LLVM has no restrictions on mixing types in addressing, loads or stores.
    431 
    432 LLVM's type-based alias analysis pass uses metadata to describe a different type
    433 system (such as the C type system), and performs type-based aliasing on top of
    434 that.  Further details are in the `language reference <LangRef.html#tbaa>`_.
    435 
    436 What happens if a GEP computation overflows?
    437 --------------------------------------------
    438 
    439 If the GEP lacks the ``inbounds`` keyword, the value is the result from
    440 evaluating the implied two's complement integer computation. However, since
    441 there's no guarantee of where an object will be allocated in the address space,
    442 such values have limited meaning.
    443 
    444 If the GEP has the ``inbounds`` keyword, the result value is undefined (a "trap
    445 value") if the GEP overflows (i.e. wraps around the end of the address space).
    446 
    447 As such, there are some ramifications of this for inbounds GEPs: scales implied
    448 by array/vector/pointer indices are always known to be "nsw" since they are
    449 signed values that are scaled by the element size.  These values are also
    450 allowed to be negative (e.g. "``gep i32 *%P, i32 -1``") but the pointer itself
    451 is logically treated as an unsigned value.  This means that GEPs have an
    452 asymmetric relation between the pointer base (which is treated as unsigned) and
    453 the offset applied to it (which is treated as signed). The result of the
    454 additions within the offset calculation cannot have signed overflow, but when
    455 applied to the base pointer, there can be signed overflow.
    456 
    457 How can I tell if my front-end is following the rules?
    458 ------------------------------------------------------
    459 
    460 There is currently no checker for the getelementptr rules. Currently, the only
    461 way to do this is to manually check each place in your front-end where
    462 GetElementPtr operators are created.
    463 
    464 It's not possible to write a checker which could find all rule violations
    465 statically. It would be possible to write a checker which works by instrumenting
    466 the code with dynamic checks though. Alternatively, it would be possible to
    467 write a static checker which catches a subset of possible problems. However, no
    468 such checker exists today.
    469 
    470 Rationale
    471 =========
    472 
    473 Why is GEP designed this way?
    474 -----------------------------
    475 
    476 The design of GEP has the following goals, in rough unofficial order of
    477 priority:
    478 
    479 * Support C, C-like languages, and languages which can be conceptually lowered
    480   into C (this covers a lot).
    481 
    482 * Support optimizations such as those that are common in C compilers. In
    483   particular, GEP is a cornerstone of LLVM's `pointer aliasing
    484   model <LangRef.html#pointeraliasing>`_.
    485 
    486 * Provide a consistent method for computing addresses so that address
    487   computations don't need to be a part of load and store instructions in the IR.
    488 
    489 * Support non-C-like languages, to the extent that it doesn't interfere with
    490   other goals.
    491 
    492 * Minimize target-specific information in the IR.
    493 
    494 Why do struct member indices always use ``i32``?
    495 ------------------------------------------------
    496 
    497 The specific type i32 is probably just a historical artifact, however it's wide
    498 enough for all practical purposes, so there's been no need to change it.  It
    499 doesn't necessarily imply i32 address arithmetic; it's just an identifier which
    500 identifies a field in a struct. Requiring that all struct indices be the same
    501 reduces the range of possibilities for cases where two GEPs are effectively the
    502 same but have distinct operand types.
    503 
    504 What's an uglygep?
    505 ------------------
    506 
    507 Some LLVM optimizers operate on GEPs by internally lowering them into more
    508 primitive integer expressions, which allows them to be combined with other
    509 integer expressions and/or split into multiple separate integer expressions. If
    510 they've made non-trivial changes, translating back into LLVM IR can involve
    511 reverse-engineering the structure of the addressing in order to fit it into the
    512 static type of the original first operand. It isn't always possibly to fully
    513 reconstruct this structure; sometimes the underlying addressing doesn't
    514 correspond with the static type at all. In such cases the optimizer instead will
    515 emit a GEP with the base pointer casted to a simple address-unit pointer, using
    516 the name "uglygep". This isn't pretty, but it's just as valid, and it's
    517 sufficient to preserve the pointer aliasing guarantees that GEP provides.
    518 
    519 Summary
    520 =======
    521 
    522 In summary, here's some things to always remember about the GetElementPtr
    523 instruction:
    524 
    525 
    526 #. The GEP instruction never accesses memory, it only provides pointer
    527    computations.
    528 
    529 #. The first operand to the GEP instruction is always a pointer and it must be
    530    indexed.
    531 
    532 #. There are no superfluous indices for the GEP instruction.
    533 
    534 #. Trailing zero indices are superfluous for pointer aliasing, but not for the
    535    types of the pointers.
    536 
    537 #. Leading zero indices are not superfluous for pointer aliasing nor the types
    538    of the pointers.
    539