# LLVM Alias Analysis Infrastructure

## Introduction

Alias Analysis (aka Pointer Analysis) is a class of techniques which attempt to determine whether or not two pointers ever can point to the same object in memory. There are many different algorithms for alias analysis and many different ways of classifying them: flow-sensitive vs. flow-insensitive, context-sensitive vs. context-insensitive, field-sensitive vs. field-insensitive, unification-based vs. subset-based, etc. Traditionally, alias analyses respond to a query with a Must, May, or No alias response, indicating that two pointers always point to the same object, might point to the same object, or are known to never point to the same object.

The LLVM AliasAnalysis class is the primary interface used by clients and implementations of alias analyses in the LLVM system. This class is the common interface between clients of alias analysis information and the implementations providing it, and is designed to support a wide range of implementations and clients (but currently all clients are assumed to be flow-insensitive). In addition to simple alias analysis information, this class exposes Mod/Ref information from those implementations which can provide it, allowing for powerful analyses and transformations to work well together.

This document contains information necessary to successfully implement this interface, use it, and to test both sides. It also explains some of the finer points about what exactly results mean.

## `AliasAnalysis` Class Overview

The AliasAnalysis class defines the interface that the various alias analysis implementations should support. This class exports two important enums: `AliasResult` and `ModRefResult` which represent the result of an alias query or a mod/ref query, respectively.

The `AliasAnalysis` interface exposes information about memory, represented in several different ways. In particular, memory objects are represented as a starting address and size, and function calls are represented as the actual `call` or `invoke` instructions that perform the call. The `AliasAnalysis` interface also exposes some helper methods which allow you to get mod/ref information for arbitrary instructions.

All `AliasAnalysis` interfaces require that in queries involving multiple values, values which are not constants are all defined within the same function.

### Representation of Pointers

Most importantly, the `AliasAnalysis` class provides several methods which are used to query whether or not two memory objects alias, whether function calls can modify or read a memory object, etc. For all of these queries, memory objects are represented as a pair of their starting address (a symbolic LLVM `Value*`) and a static size.

Representing memory objects as a starting address and a size is critically important for correct Alias Analyses. For example, consider this (silly, but possible) C code:

    int i;
    char C[2];
    char A[10];
    /* ... */
    for (i = 0; i != 10; ++i) {
      C[0] = A[i];          /* One byte store */
      C[1] = A[9-i];        /* One byte store */
    }

In this case, the `basic-aa` pass will disambiguate the stores to `C[0]` and `C[1]` because they are accesses to two distinct locations one byte apart, and the accesses are each one byte. In this case, the Loop Invariant Code Motion (LICM) pass can use store motion to remove the stores from the loop. In contrast, the following code:

    int i;
    char C[2];
    char A[10];
    /* ... */
    for (i = 0; i != 10; ++i) {
      ((short*)C)[0] = A[i];  /* Two byte store! */
      C[1] = A[9-i];          /* One byte store */
    }

In this case, the two stores to C do alias each other, because the access to the `&C[0]` element is a two byte access. If size information wasn’t available in the query, even the first case would have to conservatively assume that the accesses alias.

### The `alias` method

The `alias` method is the primary interface used to determine whether or not two memory objects alias each other. It takes two memory objects as input and returns MustAlias, PartialAlias, MayAlias, or NoAlias as appropriate.

Like all `AliasAnalysis` interfaces, the `alias` method requires that either the two pointer values be defined within the same function, or at least one of the values is a constant.

#### Must, May, and No Alias Responses

The `NoAlias` response may be used when there is never an immediate dependence between any memory reference based on one pointer and any memory reference based on the other. The most obvious example is when the two pointers point to non-overlapping memory ranges. Another is when the two pointers are only ever used for reading memory. Another is when the memory is freed and reallocated between accesses through one pointer and accesses through the other — in this case, there is a dependence, but it’s mediated by the free and reallocation.

An exception to this is with the noalias keyword; the “irrelevant” dependencies are ignored.

The `MayAlias` response is used whenever the two pointers might refer to the same object.

The `PartialAlias` response is used when the two memory objects are known to be overlapping in some way, regardless of whether they start at the same address or not.

The `MustAlias` response may only be returned if the two memory objects are guaranteed to always start at exactly the same location. A `MustAlias` response does not imply that the pointers compare equal.

### The `getModRefInfo` methods

The `getModRefInfo` methods return information about whether the execution of an instruction can read or modify a memory location. Mod/Ref information is always conservative: if an instruction might read or write a location, `ModRef` is returned.

The `AliasAnalysis` class also provides a `getModRefInfo` method for testing dependencies between function calls. This method takes two call sites (`CS1` & `CS2`), returns `NoModRef` if neither call writes to memory read or written by the other, `Ref` if `CS1` reads memory written by `CS2`, `Mod` if `CS1` writes to memory read or written by `CS2`, or `ModRef` if `CS1` might read or write memory written to by `CS2`. Note that this relation is not commutative.

### Other useful `AliasAnalysis` methods

Several other tidbits of information are often collected by various alias analysis implementations and can be put to good use by various clients.

#### The `getModRefInfoMask` method

The `getModRefInfoMask` method returns a bound on Mod/Ref information for the supplied pointer, based on knowledge about whether the pointer points to globally-constant memory (for which it returns `NoModRef`) or locally-invariant memory (for which it returns `Ref`). Globally-constant memory includes functions, constant global variables, and the null pointer. Locally-invariant memory is memory that we know is invariant for the lifetime of its SSA value, but not necessarily for the life of the program: for example, the memory pointed to by `readonly` `noalias` parameters is known-invariant for the duration of the corresponding function call. Given Mod/Ref information `MRI` for a memory location `Loc`, `MRI` can be refined with a statement like `MRI &= AA.getModRefInfoMask(Loc);`. Another useful idiom is `isModSet(AA.getModRefInfoMask(Loc))`; this checks to see if the given location can be modified at all. For convenience, there is also a method `pointsToConstantMemory(Loc)`; this is synonymous with `isNoModRef(AA.getModRefInfoMask(Loc))`.

#### The `doesNotAccessMemory` and `onlyReadsMemory` methods

These methods are used to provide very simple mod/ref information for function calls. The `doesNotAccessMemory` method returns true for a function if the analysis can prove that the function never reads or writes to memory, or if the function only reads from constant memory. Functions with this property are side-effect free and only depend on their input arguments, allowing them to be eliminated if they form common subexpressions or be hoisted out of loops. Many common functions behave this way (e.g., `sin` and `cos`) but many others do not (e.g., `acos`, which modifies the `errno` variable).

The `onlyReadsMemory` method returns true for a function if analysis can prove that (at most) the function only reads from non-volatile memory. Functions with this property are side-effect free, only depending on their input arguments and the state of memory when they are called. This property allows calls to these functions to be eliminated and moved around, as long as there is no store instruction that changes the contents of memory. Note that all functions that satisfy the `doesNotAccessMemory` method also satisfy `onlyReadsMemory`.

## Writing a new `AliasAnalysis` Implementation

Writing a new alias analysis implementation for LLVM is quite straightforward. There are already several implementations that you can use for examples, and the following information should help fill in any details. For example, take a look at the various alias analysis implementations included with LLVM.

### Different Pass styles

The first step is to determine what type of LLVM pass you need to use for your Alias Analysis. As is the case with most other analyses and transformations, the answer should be fairly obvious from what type of problem you are trying to solve:

1. If you require interprocedural analysis, it should be a `Pass`.

2. If you are a function-local analysis, subclass `FunctionPass`.

3. If you don’t need to look at the program at all, subclass `ImmutablePass`.

In addition to the pass that you subclass, you should also inherit from the `AliasAnalysis` interface, of course, and use the `RegisterAnalysisGroup` template to register as an implementation of `AliasAnalysis`.

### Required initialization calls

Your subclass of `AliasAnalysis` is required to invoke two methods on the `AliasAnalysis` base class: `getAnalysisUsage` and `InitializeAliasAnalysis`. In particular, your implementation of `getAnalysisUsage` should explicitly call into the `AliasAnalysis::getAnalysisUsage` method in addition to declaring any pass dependencies your pass has. Thus you should have something like this:

    void getAnalysisUsage(AnalysisUsage &AU) const {
      AliasAnalysis::getAnalysisUsage(AU);
      // declare your dependencies here.
    }

Additionally, you must invoke the `InitializeAliasAnalysis` method from your analysis run method (`run` for a `Pass`, `runOnFunction` for a `FunctionPass`, or `InitializePass` for an `ImmutablePass`). For example (as part of a `Pass`):

    bool run(Module &M) {
      InitializeAliasAnalysis(this);
      // Perform analysis here...
      return false;
    }

### Interfaces which may be specified

All of the AliasAnalysis virtual methods default to providing chaining to another alias analysis implementation, which ends up returning conservatively correct information (returning “May” Alias and “Mod/Ref” for alias and mod/ref queries respectively). Depending on the capabilities of the analysis you are implementing, you just override the interfaces you can improve.

### `AliasAnalysis` chaining behavior

Every alias analysis pass chains to another alias analysis implementation (for example, the user can specify “`-basic-aa -ds-aa -licm`” to get the maximum benefit from both alias analyses). The alias analysis class automatically takes care of most of this for methods that you don’t override. For methods that you do override, in code paths that return a conservative MayAlias or Mod/Ref result, simply return whatever the superclass computes. For example:

    AliasResult alias(const Value *V1, unsigned V1Size,
                      const Value *V2, unsigned V2Size) {
      if (...)
        return NoAlias;
      ...

      // Couldn't determine a must or no-alias result.
      return AliasAnalysis::alias(V1, V1Size, V2, V2Size);
    }

In addition to analysis queries, you must make sure to unconditionally pass LLVM update notification methods to the superclass as well if you override them, which allows all alias analyses in a change to be updated.

### Updating analysis results for transformations

Alias analysis information is initially computed for a static snapshot of the program, but clients will use this information to make transformations to the code. All but the most trivial forms of alias analysis will need to have their analysis results updated to reflect the changes made by these transformations.

The `AliasAnalysis` interface exposes four methods which are used to communicate program changes from the clients to the analysis implementations. Various alias analysis implementations should use these methods to ensure that their internal data structures are kept up-to-date as the program changes (for example, when an instruction is deleted), and clients of alias analysis must be sure to call these interfaces appropriately.

#### The `deleteValue` method

The `deleteValue` method is called by transformations when they remove an instruction or any other value from the program (including values that do not use pointers). Typically alias analyses keep data structures that have entries for each value in the program. When this method is called, they should remove any entries for the specified value, if they exist.

#### The `copyValue` method

The `copyValue` method is used when a new value is introduced into the program. There is no way to introduce a value into the program that did not exist before (this doesn’t make sense for a safe compiler transformation), so this is the only way to introduce a new value. This method indicates that the new value has exactly the same properties as the value being copied.

#### The `replaceWithNewValue` method

This method is a simple helper method that is provided to make clients easier to use. It is implemented by copying the old analysis information to the new value, then deleting the old value. This method cannot be overridden by alias analysis implementations.

#### The `addEscapingUse` method

The `addEscapingUse` method is used when the uses of a pointer value have changed in ways that may invalidate precomputed analysis information. Implementations may either use this callback to provide conservative responses for points whose uses have changed since analysis time, or may recompute some or all of their internal state to continue providing accurate responses.

In general, any new use of a pointer value is considered an escaping use, and must be reported through this callback, except for the uses below:

- A `bitcast` or `getelementptr` of the pointer

- A `store` through the pointer (but not a `store` of the pointer)

- A `load` through the pointer

### Efficiency Issues

From the LLVM perspective, the only thing you need to do to provide an efficient alias analysis is to make sure that alias analysis queries are serviced quickly. The actual calculation of the alias analysis results (the “run” method) is only performed once, but many (perhaps duplicate) queries may be performed. Because of this, try to move as much computation to the run method as possible (within reason).

### Limitations

The AliasAnalysis infrastructure has several limitations which make writing a new `AliasAnalysis` implementation difficult.

There is no way to override the default alias analysis. It would be very useful to be able to do something like “`opt -my-aa -O2`” and have it use `-my-aa` for all passes which need AliasAnalysis, but there is currently no support for that, short of changing the source code and recompiling. Similarly, there is also no way of setting a chain of analyses as the default.

There is no way for transform passes to declare that they preserve `AliasAnalysis` implementations. The `AliasAnalysis` interface includes `deleteValue` and `copyValue` methods which are intended to allow a pass to keep an AliasAnalysis consistent; however, there’s no way for a pass to declare in its `getAnalysisUsage` that it does so. Some passes attempt to use `AU.addPreserved<AliasAnalysis>`; however, this doesn’t actually have any effect.

Similarly, the `opt -p` option introduces `ModulePass` passes between each pass, which prevents the use of `FunctionPass` alias analysis passes.

The `AliasAnalysis` API does have functions for notifying implementations when values are deleted or copied; however, these aren’t sufficient. There are many other ways that LLVM IR can be modified which could be relevant to `AliasAnalysis` implementations which can not be expressed.

The `AliasAnalysisDebugger` utility seems to suggest that `AliasAnalysis` implementations can expect that they will be informed of any relevant `Value` before it appears in an alias query. However, popular clients such as `GVN` don’t support this, and are known to trigger errors when run with the `AliasAnalysisDebugger`.

The `AliasSetTracker` class (which is used by `LICM`) makes a non-deterministic number of alias queries. This can cause debugging techniques involving pausing execution after a predetermined number of queries to be unreliable.

Many alias queries can be reformulated in terms of other alias queries. When multiple `AliasAnalysis` queries are chained together, it would make sense to start those queries from the beginning of the chain, with care taken to avoid infinite looping; however, currently an implementation which wants to do this can only start such queries from itself.

## Using alias analysis results

There are several different ways to use alias analysis results. In order of preference, these are:

### Using the `MemoryDependenceAnalysis` Pass

The `memdep` pass uses alias analysis to provide high-level dependence information about memory-using instructions. This will tell you which store feeds into a load, for example. It uses caching and other techniques to be efficient, and is used by Dead Store Elimination, GVN, and memcpy optimizations.

### Using the `AliasSetTracker` class

Many transformations need information about alias sets that are active in some scope, rather than information about pairwise aliasing. The AliasSetTracker class is used to efficiently build these Alias Sets from the pairwise alias analysis information provided by the `AliasAnalysis` interface.

First you initialize the AliasSetTracker by using the “`add`” methods to add information about various potentially aliasing instructions in the scope you are interested in. Once all of the alias sets are completed, your pass should simply iterate through the constructed alias sets, using the `AliasSetTracker` `begin()`/`end()` methods.

The `AliasSet`s formed by the `AliasSetTracker` are guaranteed to be disjoint, calculate mod/ref information and volatility for the set, and keep track of whether or not all of the pointers in the set are Must aliases. The AliasSetTracker also makes sure that sets are properly folded due to call instructions, and can provide a list of pointers in each set.

As an example user of this, the Loop Invariant Code Motion pass uses `AliasSetTracker`s to calculate alias sets for each loop nest. If an `AliasSet` in a loop is not modified, then all load instructions from that set may be hoisted out of the loop. If any alias sets are stored to and are must alias sets, then the stores may be sunk to outside of the loop, promoting the memory location to a register for the duration of the loop nest. Both of these transformations only apply if the pointer argument is loop-invariant.

#### The AliasSetTracker implementation

The AliasSetTracker class is implemented to be as efficient as possible. It uses the union-find algorithm to efficiently merge AliasSets when a pointer is inserted into the AliasSetTracker that aliases multiple sets. The primary data structure is a hash table mapping pointers to the AliasSet they are in.

The AliasSetTracker class must maintain a list of all of the LLVM `Value*`s that are in each AliasSet. Since the hash table already has entries for each LLVM `Value*` of interest, the AliasesSets thread the linked list through these hash-table nodes to avoid having to allocate memory unnecessarily, and to make merging alias sets extremely efficient (the linked list merge is constant time).

You shouldn’t need to understand these details if you are just a client of the AliasSetTracker, but if you look at the code, hopefully this brief description will help make sense of why things are designed the way they are.

### Using the `AliasAnalysis` interface directly

If neither of these utility classes are what your pass needs, you should use the interfaces exposed by the `AliasAnalysis` class directly. Try to use the higher-level methods when possible (e.g., use mod/ref information instead of the alias method directly if possible) to get the best precision and efficiency.

## Existing alias analysis implementations and clients

If you’re going to be working with the LLVM alias analysis infrastructure, you should know what clients and implementations of alias analysis are available. In particular, if you are implementing an alias analysis, you should be aware of the clients that are useful for monitoring and evaluating different implementations.

### Available `AliasAnalysis` implementations

This section lists the various implementations of the `AliasAnalysis` interface. All of these chain to other alias analysis implementations.

#### The `-basic-aa` pass

The `-basic-aa` pass is an aggressive local analysis that knows many important facts:

- Distinct globals, stack allocations, and heap allocations can never alias.

- Globals, stack allocations, and heap allocations never alias the null pointer.

- Different fields of a structure do not alias.

- Indexes into arrays with statically differing subscripts cannot alias.

- Many common standard C library functions never access memory or only read memory.

- Pointers that obviously point to constant globals “`pointToConstantMemory`”.

- Function calls cannot modify or reference stack allocations if they never escape from the function that allocates them (a common case for automatic arrays).

#### The `-globalsmodref-aa` pass

This pass implements a simple context-sensitive mod/ref and alias analysis for internal global variables that don’t “have their address taken”. If a global does not have its address taken, the pass knows that no pointers alias the global. This pass also keeps track of functions that it knows never access memory or never read memory. This allows certain optimizations (e.g. GVN) to eliminate call instructions entirely.

The real power of this pass is that it provides context-sensitive mod/ref information for call instructions. This allows the optimizer to know that calls to a function do not clobber or read the value of the global, allowing loads and stores to be eliminated.

Note

This pass is somewhat limited in its scope (only support non-address taken globals), but is very quick analysis.

#### The `-steens-aa` pass

The `-steens-aa` pass implements a variation on the well-known “Steensgaard’s algorithm” for interprocedural alias analysis. Steensgaard’s algorithm is a unification-based, flow-insensitive, context-insensitive, and field-insensitive alias analysis that is also very scalable (effectively linear time).

The LLVM `-steens-aa` pass implements a “speculatively field-sensitive” version of Steensgaard’s algorithm using the Data Structure Analysis framework. This gives it substantially more precision than the standard algorithm while maintaining excellent analysis scalability.

Note

`-steens-aa` is available in the optional “poolalloc” module. It is not part of the LLVM core.

#### The `-ds-aa` pass

The `-ds-aa` pass implements the full Data Structure Analysis algorithm. Data Structure Analysis is a modular unification-based, flow-insensitive, context-sensitive, and speculatively field-sensitive alias analysis that is also quite scalable, usually at `O(n * log(n))`.

This algorithm is capable of responding to a full variety of alias analysis queries, and can provide context-sensitive mod/ref information as well. The only major facility not implemented so far is support for must-alias information.

Note

`-ds-aa` is available in the optional “poolalloc” module. It is not part of the LLVM core.

#### The `-scev-aa` pass

The `-scev-aa` pass implements AliasAnalysis queries by translating them into ScalarEvolution queries. This gives it a more complete understanding of `getelementptr` instructions and loop induction variables than other alias analyses have.

### Alias analysis driven transformations

LLVM includes several alias-analysis driven transformations which can be used with any of the implementations above.

#### The `-adce` pass

The `-adce` pass, which implements Aggressive Dead Code Elimination, uses the `AliasAnalysis` interface to delete calls to functions that do not have side-effects and are not used.

#### The `-licm` pass

The `-licm` pass implements various Loop Invariant Code Motion related transformations. It uses the `AliasAnalysis` interface for several different transformations:

- It uses mod/ref information to hoist or sink load instructions out of loops if no instructions in the loop modify the memory loaded.

- It uses mod/ref information to hoist function calls out of loops that do not write to memory and are loop-invariant.

- It uses alias information to promote memory objects that are loaded and stored to in loops to live in a register instead. It can do this if there are no may aliases to the loaded/stored memory location.

#### The `-argpromotion` pass

The `-argpromotion` pass promotes by-reference arguments to be passed in by-value instead. In particular, if pointer arguments are only loaded from, it passes in the value loaded instead of the address to the function. This pass uses alias information to make sure that the value loaded from the argument pointer is not modified between the entry of the function and any load of the pointer.

#### The `-gvn`, `-memcpyopt`, and `-dse` passes

These passes use AliasAnalysis information to reason about loads and stores.

### Clients for debugging and evaluation of implementations

These passes are useful for evaluating the various alias analysis implementations. You can use them with commands like:

    % opt -ds-aa -aa-eval foo.bc -disable-output -stats

#### The `-print-alias-sets` pass

The `-print-alias-sets` pass is exposed as part of the `opt` tool to print out the Alias Sets formed by the AliasSetTracker class. This is useful if you’re using the `AliasSetTracker` class. To use it, use something like:

    % opt -ds-aa -print-alias-sets -disable-output

#### The `-aa-eval` pass

The `-aa-eval` pass simply iterates through all pairs of pointers in a function and asks an alias analysis whether or not the pointers alias. This gives an indication of the precision of the alias analysis. Statistics are printed indicating the percent of no/may/must aliases found (a more precise algorithm will have a lower number of may aliases).

## Memory Dependence Analysis

Note

We are currently in the process of migrating things from `MemoryDependenceAnalysis` to MemorySSA. Please try to use that instead.

If you’re just looking to be a client of alias analysis information, consider using the Memory Dependence Analysis interface instead. MemDep is a lazy, caching layer on top of alias analysis that is able to answer the question of what preceding memory operations a given instruction depends on, either at an intra- or inter-block level. Because of its laziness and caching policy, using MemDep can be a significant performance win over accessing alias analysis directly.