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|  | <title>The LLVM Target-Independent Code Generator</title> | 
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|  | <div class="doc_title"> | 
|  | The LLVM Target-Independent Code Generator | 
|  | </div> | 
|  |  | 
|  | <ol> | 
|  | <li><a href="#introduction">Introduction</a> | 
|  | <ul> | 
|  | <li><a href="#required">Required components in the code generator</a></li> | 
|  | <li><a href="#high-level-design">The high-level design of the code | 
|  | generator</a></li> | 
|  | <li><a href="#tablegen">Using TableGen for target description</a></li> | 
|  | </ul> | 
|  | </li> | 
|  | <li><a href="#targetdesc">Target description classes</a> | 
|  | <ul> | 
|  | <li><a href="#targetmachine">The <tt>TargetMachine</tt> class</a></li> | 
|  | <li><a href="#targetdata">The <tt>TargetData</tt> class</a></li> | 
|  | <li><a href="#targetlowering">The <tt>TargetLowering</tt> class</a></li> | 
|  | <li><a href="#mregisterinfo">The <tt>MRegisterInfo</tt> class</a></li> | 
|  | <li><a href="#targetinstrinfo">The <tt>TargetInstrInfo</tt> class</a></li> | 
|  | <li><a href="#targetframeinfo">The <tt>TargetFrameInfo</tt> class</a></li> | 
|  | <li><a href="#targetsubtarget">The <tt>TargetSubtarget</tt> class</a></li> | 
|  | <li><a href="#targetjitinfo">The <tt>TargetJITInfo</tt> class</a></li> | 
|  | </ul> | 
|  | </li> | 
|  | <li><a href="#codegendesc">Machine code description classes</a> | 
|  | <ul> | 
|  | <li><a href="#machineinstr">The <tt>MachineInstr</tt> class</a></li> | 
|  | <li><a href="#machinebasicblock">The <tt>MachineBasicBlock</tt> | 
|  | class</a></li> | 
|  | <li><a href="#machinefunction">The <tt>MachineFunction</tt> class</a></li> | 
|  | </ul> | 
|  | </li> | 
|  | <li><a href="#codegenalgs">Target-independent code generation algorithms</a> | 
|  | <ul> | 
|  | <li><a href="#instselect">Instruction Selection</a> | 
|  | <ul> | 
|  | <li><a href="#selectiondag_intro">Introduction to SelectionDAGs</a></li> | 
|  | <li><a href="#selectiondag_process">SelectionDAG Code Generation | 
|  | Process</a></li> | 
|  | <li><a href="#selectiondag_build">Initial SelectionDAG | 
|  | Construction</a></li> | 
|  | <li><a href="#selectiondag_legalize">SelectionDAG Legalize Phase</a></li> | 
|  | <li><a href="#selectiondag_optimize">SelectionDAG Optimization | 
|  | Phase: the DAG Combiner</a></li> | 
|  | <li><a href="#selectiondag_select">SelectionDAG Select Phase</a></li> | 
|  | <li><a href="#selectiondag_sched">SelectionDAG Scheduling and Formation | 
|  | Phase</a></li> | 
|  | <li><a href="#selectiondag_future">Future directions for the | 
|  | SelectionDAG</a></li> | 
|  | </ul></li> | 
|  | <li><a href="#liveintervals">Live Intervals</a> | 
|  | <ul> | 
|  | <li><a href="#livevariable_analysis">Live Variable Analysis</a></li> | 
|  | <li><a href="#liveintervals_analysis">Live Intervals Analysis</a></li> | 
|  | </ul></li> | 
|  | <li><a href="#regalloc">Register Allocation</a> | 
|  | <ul> | 
|  | <li><a href="#regAlloc_represent">How registers are represented in | 
|  | LLVM</a></li> | 
|  | <li><a href="#regAlloc_howTo">Mapping virtual registers to physical | 
|  | registers</a></li> | 
|  | <li><a href="#regAlloc_twoAddr">Handling two address instructions</a></li> | 
|  | <li><a href="#regAlloc_ssaDecon">The SSA deconstruction phase</a></li> | 
|  | <li><a href="#regAlloc_fold">Instruction folding</a></li> | 
|  | <li><a href="#regAlloc_builtIn">Built in register allocators</a></li> | 
|  | </ul></li> | 
|  | <li><a href="#codeemit">Code Emission</a> | 
|  | <ul> | 
|  | <li><a href="#codeemit_asm">Generating Assembly Code</a></li> | 
|  | <li><a href="#codeemit_bin">Generating Binary Machine Code</a></li> | 
|  | </ul></li> | 
|  | </ul> | 
|  | </li> | 
|  | <li><a href="#targetimpls">Target-specific Implementation Notes</a> | 
|  | <ul> | 
|  | <li><a href="#x86">The X86 backend</a></li> | 
|  | <li><a href="#ppc">The PowerPC backend</a> | 
|  | <ul> | 
|  | <li><a href="#ppc_abi">LLVM PowerPC ABI</a></li> | 
|  | <li><a href="#ppc_frame">Frame Layout</a></li> | 
|  | <li><a href="#ppc_prolog">Prolog/Epilog</a></li> | 
|  | <li><a href="#ppc_dynamic">Dynamic Allocation</a></li> | 
|  | </ul></li> | 
|  | </ul></li> | 
|  |  | 
|  | </ol> | 
|  |  | 
|  | <div class="doc_author"> | 
|  | <p>Written by <a href="mailto:sabre@nondot.org">Chris Lattner</a>, | 
|  | <a href="mailto:isanbard@gmail.com">Bill Wendling</a>, | 
|  | <a href="mailto:pronesto@gmail.com">Fernando Magno Quintao | 
|  | Pereira</a> and | 
|  | <a href="mailto:jlaskey@mac.com">Jim Laskey</a></p> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_warning"> | 
|  | <p>Warning: This is a work in progress.</p> | 
|  | </div> | 
|  |  | 
|  | <!-- *********************************************************************** --> | 
|  | <div class="doc_section"> | 
|  | <a name="introduction">Introduction</a> | 
|  | </div> | 
|  | <!-- *********************************************************************** --> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The LLVM target-independent code generator is a framework that provides a | 
|  | suite of reusable components for translating the LLVM internal representation to | 
|  | the machine code for a specified target—either in assembly form (suitable | 
|  | for a static compiler) or in binary machine code format (usable for a JIT | 
|  | compiler). The LLVM target-independent code generator consists of five main | 
|  | components:</p> | 
|  |  | 
|  | <ol> | 
|  | <li><a href="#targetdesc">Abstract target description</a> interfaces which | 
|  | capture important properties about various aspects of the machine, independently | 
|  | of how they will be used.  These interfaces are defined in | 
|  | <tt>include/llvm/Target/</tt>.</li> | 
|  |  | 
|  | <li>Classes used to represent the <a href="#codegendesc">machine code</a> being | 
|  | generated for a target.  These classes are intended to be abstract enough to | 
|  | represent the machine code for <i>any</i> target machine.  These classes are | 
|  | defined in <tt>include/llvm/CodeGen/</tt>.</li> | 
|  |  | 
|  | <li><a href="#codegenalgs">Target-independent algorithms</a> used to implement | 
|  | various phases of native code generation (register allocation, scheduling, stack | 
|  | frame representation, etc).  This code lives in <tt>lib/CodeGen/</tt>.</li> | 
|  |  | 
|  | <li><a href="#targetimpls">Implementations of the abstract target description | 
|  | interfaces</a> for particular targets.  These machine descriptions make use of | 
|  | the components provided by LLVM, and can optionally provide custom | 
|  | target-specific passes, to build complete code generators for a specific target. | 
|  | Target descriptions live in <tt>lib/Target/</tt>.</li> | 
|  |  | 
|  | <li><a href="#jit">The target-independent JIT components</a>.  The LLVM JIT is | 
|  | completely target independent (it uses the <tt>TargetJITInfo</tt> structure to | 
|  | interface for target-specific issues.  The code for the target-independent | 
|  | JIT lives in <tt>lib/ExecutionEngine/JIT</tt>.</li> | 
|  |  | 
|  | </ol> | 
|  |  | 
|  | <p> | 
|  | Depending on which part of the code generator you are interested in working on, | 
|  | different pieces of this will be useful to you.  In any case, you should be | 
|  | familiar with the <a href="#targetdesc">target description</a> and <a | 
|  | href="#codegendesc">machine code representation</a> classes.  If you want to add | 
|  | a backend for a new target, you will need to <a href="#targetimpls">implement the | 
|  | target description</a> classes for your new target and understand the <a | 
|  | href="LangRef.html">LLVM code representation</a>.  If you are interested in | 
|  | implementing a new <a href="#codegenalgs">code generation algorithm</a>, it | 
|  | should only depend on the target-description and machine code representation | 
|  | classes, ensuring that it is portable. | 
|  | </p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="required">Required components in the code generator</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The two pieces of the LLVM code generator are the high-level interface to the | 
|  | code generator and the set of reusable components that can be used to build | 
|  | target-specific backends.  The two most important interfaces (<a | 
|  | href="#targetmachine"><tt>TargetMachine</tt></a> and <a | 
|  | href="#targetdata"><tt>TargetData</tt></a>) are the only ones that are | 
|  | required to be defined for a backend to fit into the LLVM system, but the others | 
|  | must be defined if the reusable code generator components are going to be | 
|  | used.</p> | 
|  |  | 
|  | <p>This design has two important implications.  The first is that LLVM can | 
|  | support completely non-traditional code generation targets.  For example, the C | 
|  | backend does not require register allocation, instruction selection, or any of | 
|  | the other standard components provided by the system.  As such, it only | 
|  | implements these two interfaces, and does its own thing.  Another example of a | 
|  | code generator like this is a (purely hypothetical) backend that converts LLVM | 
|  | to the GCC RTL form and uses GCC to emit machine code for a target.</p> | 
|  |  | 
|  | <p>This design also implies that it is possible to design and | 
|  | implement radically different code generators in the LLVM system that do not | 
|  | make use of any of the built-in components.  Doing so is not recommended at all, | 
|  | but could be required for radically different targets that do not fit into the | 
|  | LLVM machine description model: FPGAs for example.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="high-level-design">The high-level design of the code generator</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The LLVM target-independent code generator is designed to support efficient and | 
|  | quality code generation for standard register-based microprocessors.  Code | 
|  | generation in this model is divided into the following stages:</p> | 
|  |  | 
|  | <ol> | 
|  | <li><b><a href="#instselect">Instruction Selection</a></b> - This phase | 
|  | determines an efficient way to express the input LLVM code in the target | 
|  | instruction set. | 
|  | This stage produces the initial code for the program in the target instruction | 
|  | set, then makes use of virtual registers in SSA form and physical registers that | 
|  | represent any required register assignments due to target constraints or calling | 
|  | conventions.  This step turns the LLVM code into a DAG of target | 
|  | instructions.</li> | 
|  |  | 
|  | <li><b><a href="#selectiondag_sched">Scheduling and Formation</a></b> - This | 
|  | phase takes the DAG of target instructions produced by the instruction selection | 
|  | phase, determines an ordering of the instructions, then emits the instructions | 
|  | as <tt><a href="#machineinstr">MachineInstr</a></tt>s with that ordering.  Note | 
|  | that we describe this in the <a href="#instselect">instruction selection | 
|  | section</a> because it operates on a <a | 
|  | href="#selectiondag_intro">SelectionDAG</a>. | 
|  | </li> | 
|  |  | 
|  | <li><b><a href="#ssamco">SSA-based Machine Code Optimizations</a></b> - This | 
|  | optional stage consists of a series of machine-code optimizations that | 
|  | operate on the SSA-form produced by the instruction selector.  Optimizations | 
|  | like modulo-scheduling or peephole optimization work here. | 
|  | </li> | 
|  |  | 
|  | <li><b><a href="#regalloc">Register Allocation</a></b> - The | 
|  | target code is transformed from an infinite virtual register file in SSA form | 
|  | to the concrete register file used by the target.  This phase introduces spill | 
|  | code and eliminates all virtual register references from the program.</li> | 
|  |  | 
|  | <li><b><a href="#proepicode">Prolog/Epilog Code Insertion</a></b> - Once the | 
|  | machine code has been generated for the function and the amount of stack space | 
|  | required is known (used for LLVM alloca's and spill slots), the prolog and | 
|  | epilog code for the function can be inserted and "abstract stack location | 
|  | references" can be eliminated.  This stage is responsible for implementing | 
|  | optimizations like frame-pointer elimination and stack packing.</li> | 
|  |  | 
|  | <li><b><a href="#latemco">Late Machine Code Optimizations</a></b> - Optimizations | 
|  | that operate on "final" machine code can go here, such as spill code scheduling | 
|  | and peephole optimizations.</li> | 
|  |  | 
|  | <li><b><a href="#codeemit">Code Emission</a></b> - The final stage actually | 
|  | puts out the code for the current function, either in the target assembler | 
|  | format or in machine code.</li> | 
|  |  | 
|  | </ol> | 
|  |  | 
|  | <p>The code generator is based on the assumption that the instruction selector | 
|  | will use an optimal pattern matching selector to create high-quality sequences of | 
|  | native instructions.  Alternative code generator designs based on pattern | 
|  | expansion and aggressive iterative peephole optimization are much slower.  This | 
|  | design permits efficient compilation (important for JIT environments) and | 
|  | aggressive optimization (used when generating code offline) by allowing | 
|  | components of varying levels of sophistication to be used for any step of | 
|  | compilation.</p> | 
|  |  | 
|  | <p>In addition to these stages, target implementations can insert arbitrary | 
|  | target-specific passes into the flow.  For example, the X86 target uses a | 
|  | special pass to handle the 80x87 floating point stack architecture.  Other | 
|  | targets with unusual requirements can be supported with custom passes as | 
|  | needed.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="tablegen">Using TableGen for target description</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The target description classes require a detailed description of the target | 
|  | architecture.  These target descriptions often have a large amount of common | 
|  | information (e.g., an <tt>add</tt> instruction is almost identical to a | 
|  | <tt>sub</tt> instruction). | 
|  | In order to allow the maximum amount of commonality to be factored out, the LLVM | 
|  | code generator uses the <a href="TableGenFundamentals.html">TableGen</a> tool to | 
|  | describe big chunks of the target machine, which allows the use of | 
|  | domain-specific and target-specific abstractions to reduce the amount of | 
|  | repetition.</p> | 
|  |  | 
|  | <p>As LLVM continues to be developed and refined, we plan to move more and more | 
|  | of the target description to the <tt>.td</tt> form.  Doing so gives us a | 
|  | number of advantages.  The most important is that it makes it easier to port | 
|  | LLVM because it reduces the amount of C++ code that has to be written, and the | 
|  | surface area of the code generator that needs to be understood before someone | 
|  | can get something working.  Second, it makes it easier to change things. In | 
|  | particular, if tables and other things are all emitted by <tt>tblgen</tt>, we | 
|  | only need a change in one place (<tt>tblgen</tt>) to update all of the targets | 
|  | to a new interface.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- *********************************************************************** --> | 
|  | <div class="doc_section"> | 
|  | <a name="targetdesc">Target description classes</a> | 
|  | </div> | 
|  | <!-- *********************************************************************** --> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The LLVM target description classes (located in the | 
|  | <tt>include/llvm/Target</tt> directory) provide an abstract description of the | 
|  | target machine independent of any particular client.  These classes are | 
|  | designed to capture the <i>abstract</i> properties of the target (such as the | 
|  | instructions and registers it has), and do not incorporate any particular pieces | 
|  | of code generation algorithms.</p> | 
|  |  | 
|  | <p>All of the target description classes (except the <tt><a | 
|  | href="#targetdata">TargetData</a></tt> class) are designed to be subclassed by | 
|  | the concrete target implementation, and have virtual methods implemented.  To | 
|  | get to these implementations, the <tt><a | 
|  | href="#targetmachine">TargetMachine</a></tt> class provides accessors that | 
|  | should be implemented by the target.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="targetmachine">The <tt>TargetMachine</tt> class</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The <tt>TargetMachine</tt> class provides virtual methods that are used to | 
|  | access the target-specific implementations of the various target description | 
|  | classes via the <tt>get*Info</tt> methods (<tt>getInstrInfo</tt>, | 
|  | <tt>getRegisterInfo</tt>, <tt>getFrameInfo</tt>, etc.).  This class is | 
|  | designed to be specialized by | 
|  | a concrete target implementation (e.g., <tt>X86TargetMachine</tt>) which | 
|  | implements the various virtual methods.  The only required target description | 
|  | class is the <a href="#targetdata"><tt>TargetData</tt></a> class, but if the | 
|  | code generator components are to be used, the other interfaces should be | 
|  | implemented as well.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="targetdata">The <tt>TargetData</tt> class</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The <tt>TargetData</tt> class is the only required target description class, | 
|  | and it is the only class that is not extensible (you cannot derived  a new | 
|  | class from it).  <tt>TargetData</tt> specifies information about how the target | 
|  | lays out memory for structures, the alignment requirements for various data | 
|  | types, the size of pointers in the target, and whether the target is | 
|  | little-endian or big-endian.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="targetlowering">The <tt>TargetLowering</tt> class</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The <tt>TargetLowering</tt> class is used by SelectionDAG based instruction | 
|  | selectors primarily to describe how LLVM code should be lowered to SelectionDAG | 
|  | operations.  Among other things, this class indicates:</p> | 
|  |  | 
|  | <ul> | 
|  | <li>an initial register class to use for various <tt>ValueType</tt>s</li> | 
|  | <li>which operations are natively supported by the target machine</li> | 
|  | <li>the return type of <tt>setcc</tt> operations</li> | 
|  | <li>the type to use for shift amounts</li> | 
|  | <li>various high-level characteristics, like whether it is profitable to turn | 
|  | division by a constant into a multiplication sequence</li> | 
|  | </ul> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="mregisterinfo">The <tt>MRegisterInfo</tt> class</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The <tt>MRegisterInfo</tt> class (which will eventually be renamed to | 
|  | <tt>TargetRegisterInfo</tt>) is used to describe the register file of the | 
|  | target and any interactions between the registers.</p> | 
|  |  | 
|  | <p>Registers in the code generator are represented in the code generator by | 
|  | unsigned integers.  Physical registers (those that actually exist in the target | 
|  | description) are unique small numbers, and virtual registers are generally | 
|  | large.  Note that register #0 is reserved as a flag value.</p> | 
|  |  | 
|  | <p>Each register in the processor description has an associated | 
|  | <tt>TargetRegisterDesc</tt> entry, which provides a textual name for the | 
|  | register (used for assembly output and debugging dumps) and a set of aliases | 
|  | (used to indicate whether one register overlaps with another). | 
|  | </p> | 
|  |  | 
|  | <p>In addition to the per-register description, the <tt>MRegisterInfo</tt> class | 
|  | exposes a set of processor specific register classes (instances of the | 
|  | <tt>TargetRegisterClass</tt> class).  Each register class contains sets of | 
|  | registers that have the same properties (for example, they are all 32-bit | 
|  | integer registers).  Each SSA virtual register created by the instruction | 
|  | selector has an associated register class.  When the register allocator runs, it | 
|  | replaces virtual registers with a physical register in the set.</p> | 
|  |  | 
|  | <p> | 
|  | The target-specific implementations of these classes is auto-generated from a <a | 
|  | href="TableGenFundamentals.html">TableGen</a> description of the register file. | 
|  | </p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="targetinstrinfo">The <tt>TargetInstrInfo</tt> class</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The <tt>TargetInstrInfo</tt> class is used to describe the machine | 
|  | instructions supported by the target. It is essentially an array of | 
|  | <tt>TargetInstrDescriptor</tt> objects, each of which describes one | 
|  | instruction the target supports. Descriptors define things like the mnemonic | 
|  | for the opcode, the number of operands, the list of implicit register uses | 
|  | and defs, whether the instruction has certain target-independent properties | 
|  | (accesses memory, is commutable, etc), and holds any target-specific | 
|  | flags.</p> | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="targetframeinfo">The <tt>TargetFrameInfo</tt> class</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The <tt>TargetFrameInfo</tt> class is used to provide information about the | 
|  | stack frame layout of the target. It holds the direction of stack growth, | 
|  | the known stack alignment on entry to each function, and the offset to the | 
|  | local area.  The offset to the local area is the offset from the stack | 
|  | pointer on function entry to the first location where function data (local | 
|  | variables, spill locations) can be stored.</p> | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="targetsubtarget">The <tt>TargetSubtarget</tt> class</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The <tt>TargetSubtarget</tt> class is used to provide information about the | 
|  | specific chip set being targeted.  A sub-target informs code generation of | 
|  | which instructions are supported, instruction latencies and instruction | 
|  | execution itinerary; i.e., which processing units are used, in what order, and | 
|  | for how long.</p> | 
|  | </div> | 
|  |  | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="targetjitinfo">The <tt>TargetJITInfo</tt> class</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The <tt>TargetJITInfo</tt> class exposes an abstract interface used by the | 
|  | Just-In-Time code generator to perform target-specific activities, such as | 
|  | emitting stubs.  If a <tt>TargetMachine</tt> supports JIT code generation, it | 
|  | should provide one of these objects through the <tt>getJITInfo</tt> | 
|  | method.</p> | 
|  | </div> | 
|  |  | 
|  | <!-- *********************************************************************** --> | 
|  | <div class="doc_section"> | 
|  | <a name="codegendesc">Machine code description classes</a> | 
|  | </div> | 
|  | <!-- *********************************************************************** --> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>At the high-level, LLVM code is translated to a machine specific | 
|  | representation formed out of | 
|  | <a href="#machinefunction"><tt>MachineFunction</tt></a>, | 
|  | <a href="#machinebasicblock"><tt>MachineBasicBlock</tt></a>, and <a | 
|  | href="#machineinstr"><tt>MachineInstr</tt></a> instances | 
|  | (defined in <tt>include/llvm/CodeGen</tt>).  This representation is completely | 
|  | target agnostic, representing instructions in their most abstract form: an | 
|  | opcode and a series of operands.  This representation is designed to support | 
|  | both an SSA representation for machine code, as well as a register allocated, | 
|  | non-SSA form.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="machineinstr">The <tt>MachineInstr</tt> class</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>Target machine instructions are represented as instances of the | 
|  | <tt>MachineInstr</tt> class.  This class is an extremely abstract way of | 
|  | representing machine instructions.  In particular, it only keeps track of | 
|  | an opcode number and a set of operands.</p> | 
|  |  | 
|  | <p>The opcode number is a simple unsigned integer that only has meaning to a | 
|  | specific backend.  All of the instructions for a target should be defined in | 
|  | the <tt>*InstrInfo.td</tt> file for the target. The opcode enum values | 
|  | are auto-generated from this description.  The <tt>MachineInstr</tt> class does | 
|  | not have any information about how to interpret the instruction (i.e., what the | 
|  | semantics of the instruction are); for that you must refer to the | 
|  | <tt><a href="#targetinstrinfo">TargetInstrInfo</a></tt> class.</p> | 
|  |  | 
|  | <p>The operands of a machine instruction can be of several different types: | 
|  | a register reference, a constant integer, a basic block reference, etc.  In | 
|  | addition, a machine operand should be marked as a def or a use of the value | 
|  | (though only registers are allowed to be defs).</p> | 
|  |  | 
|  | <p>By convention, the LLVM code generator orders instruction operands so that | 
|  | all register definitions come before the register uses, even on architectures | 
|  | that are normally printed in other orders.  For example, the SPARC add | 
|  | instruction: "<tt>add %i1, %i2, %i3</tt>" adds the "%i1", and "%i2" registers | 
|  | and stores the result into the "%i3" register.  In the LLVM code generator, | 
|  | the operands should be stored as "<tt>%i3, %i1, %i2</tt>": with the destination | 
|  | first.</p> | 
|  |  | 
|  | <p>Keeping destination (definition) operands at the beginning of the operand | 
|  | list has several advantages.  In particular, the debugging printer will print | 
|  | the instruction like this:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | %r3 = add %i1, %i2 | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>Also if the first operand is a def, it is easier to <a | 
|  | href="#buildmi">create instructions</a> whose only def is the first | 
|  | operand.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="buildmi">Using the <tt>MachineInstrBuilder.h</tt> functions</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>Machine instructions are created by using the <tt>BuildMI</tt> functions, | 
|  | located in the <tt>include/llvm/CodeGen/MachineInstrBuilder.h</tt> file.  The | 
|  | <tt>BuildMI</tt> functions make it easy to build arbitrary machine | 
|  | instructions.  Usage of the <tt>BuildMI</tt> functions look like this:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | // Create a 'DestReg = mov 42' (rendered in X86 assembly as 'mov DestReg, 42') | 
|  | // instruction.  The '1' specifies how many operands will be added. | 
|  | MachineInstr *MI = BuildMI(X86::MOV32ri, 1, DestReg).addImm(42); | 
|  |  | 
|  | // Create the same instr, but insert it at the end of a basic block. | 
|  | MachineBasicBlock &MBB = ... | 
|  | BuildMI(MBB, X86::MOV32ri, 1, DestReg).addImm(42); | 
|  |  | 
|  | // Create the same instr, but insert it before a specified iterator point. | 
|  | MachineBasicBlock::iterator MBBI = ... | 
|  | BuildMI(MBB, MBBI, X86::MOV32ri, 1, DestReg).addImm(42); | 
|  |  | 
|  | // Create a 'cmp Reg, 0' instruction, no destination reg. | 
|  | MI = BuildMI(X86::CMP32ri, 2).addReg(Reg).addImm(0); | 
|  | // Create an 'sahf' instruction which takes no operands and stores nothing. | 
|  | MI = BuildMI(X86::SAHF, 0); | 
|  |  | 
|  | // Create a self looping branch instruction. | 
|  | BuildMI(MBB, X86::JNE, 1).addMBB(&MBB); | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>The key thing to remember with the <tt>BuildMI</tt> functions is that you | 
|  | have to specify the number of operands that the machine instruction will take. | 
|  | This allows for efficient memory allocation.  You also need to specify if | 
|  | operands default to be uses of values, not definitions.  If you need to add a | 
|  | definition operand (other than the optional destination register), you must | 
|  | explicitly mark it as such:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | MI.addReg(Reg, MachineOperand::Def); | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="fixedregs">Fixed (preassigned) registers</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>One important issue that the code generator needs to be aware of is the | 
|  | presence of fixed registers.  In particular, there are often places in the | 
|  | instruction stream where the register allocator <em>must</em> arrange for a | 
|  | particular value to be in a particular register.  This can occur due to | 
|  | limitations of the instruction set (e.g., the X86 can only do a 32-bit divide | 
|  | with the <tt>EAX</tt>/<tt>EDX</tt> registers), or external factors like calling | 
|  | conventions.  In any case, the instruction selector should emit code that | 
|  | copies a virtual register into or out of a physical register when needed.</p> | 
|  |  | 
|  | <p>For example, consider this simple LLVM example:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | int %test(int %X, int %Y) { | 
|  | %Z = div int %X, %Y | 
|  | ret int %Z | 
|  | } | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>The X86 instruction selector produces this machine code for the <tt>div</tt> | 
|  | and <tt>ret</tt> (use | 
|  | "<tt>llc X.bc -march=x86 -print-machineinstrs</tt>" to get this):</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | ;; Start of div | 
|  | %EAX = mov %reg1024           ;; Copy X (in reg1024) into EAX | 
|  | %reg1027 = sar %reg1024, 31 | 
|  | %EDX = mov %reg1027           ;; Sign extend X into EDX | 
|  | idiv %reg1025                 ;; Divide by Y (in reg1025) | 
|  | %reg1026 = mov %EAX           ;; Read the result (Z) out of EAX | 
|  |  | 
|  | ;; Start of ret | 
|  | %EAX = mov %reg1026           ;; 32-bit return value goes in EAX | 
|  | ret | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>By the end of code generation, the register allocator has coalesced | 
|  | the registers and deleted the resultant identity moves producing the | 
|  | following code:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | ;; X is in EAX, Y is in ECX | 
|  | mov %EAX, %EDX | 
|  | sar %EDX, 31 | 
|  | idiv %ECX | 
|  | ret | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>This approach is extremely general (if it can handle the X86 architecture, | 
|  | it can handle anything!) and allows all of the target specific | 
|  | knowledge about the instruction stream to be isolated in the instruction | 
|  | selector.  Note that physical registers should have a short lifetime for good | 
|  | code generation, and all physical registers are assumed dead on entry to and | 
|  | exit from basic blocks (before register allocation).  Thus, if you need a value | 
|  | to be live across basic block boundaries, it <em>must</em> live in a virtual | 
|  | register.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="ssa">Machine code in SSA form</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p><tt>MachineInstr</tt>'s are initially selected in SSA-form, and | 
|  | are maintained in SSA-form until register allocation happens.  For the most | 
|  | part, this is trivially simple since LLVM is already in SSA form; LLVM PHI nodes | 
|  | become machine code PHI nodes, and virtual registers are only allowed to have a | 
|  | single definition.</p> | 
|  |  | 
|  | <p>After register allocation, machine code is no longer in SSA-form because there | 
|  | are no virtual registers left in the code.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="machinebasicblock">The <tt>MachineBasicBlock</tt> class</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The <tt>MachineBasicBlock</tt> class contains a list of machine instructions | 
|  | (<tt><a href="#machineinstr">MachineInstr</a></tt> instances).  It roughly | 
|  | corresponds to the LLVM code input to the instruction selector, but there can be | 
|  | a one-to-many mapping (i.e. one LLVM basic block can map to multiple machine | 
|  | basic blocks). The <tt>MachineBasicBlock</tt> class has a | 
|  | "<tt>getBasicBlock</tt>" method, which returns the LLVM basic block that it | 
|  | comes from.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="machinefunction">The <tt>MachineFunction</tt> class</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The <tt>MachineFunction</tt> class contains a list of machine basic blocks | 
|  | (<tt><a href="#machinebasicblock">MachineBasicBlock</a></tt> instances).  It | 
|  | corresponds one-to-one with the LLVM function input to the instruction selector. | 
|  | In addition to a list of basic blocks, the <tt>MachineFunction</tt> contains a | 
|  | a <tt>MachineConstantPool</tt>, a <tt>MachineFrameInfo</tt>, a | 
|  | <tt>MachineFunctionInfo</tt>, a <tt>SSARegMap</tt>, and a set of live in and | 
|  | live out registers for the function.  See | 
|  | <tt>include/llvm/CodeGen/MachineFunction.h</tt> for more information.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- *********************************************************************** --> | 
|  | <div class="doc_section"> | 
|  | <a name="codegenalgs">Target-independent code generation algorithms</a> | 
|  | </div> | 
|  | <!-- *********************************************************************** --> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>This section documents the phases described in the <a | 
|  | href="#high-level-design">high-level design of the code generator</a>.  It | 
|  | explains how they work and some of the rationale behind their design.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="instselect">Instruction Selection</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p> | 
|  | Instruction Selection is the process of translating LLVM code presented to the | 
|  | code generator into target-specific machine instructions.  There are several | 
|  | well-known ways to do this in the literature.  LLVM uses a SelectionDAG based | 
|  | instruction selector. | 
|  | </p> | 
|  |  | 
|  | <p>Portions of the DAG instruction selector are generated from the target | 
|  | description (<tt>*.td</tt>) files.  Our goal is for the entire instruction | 
|  | selector to be generated from these <tt>.td</tt> files.</p> | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="selectiondag_intro">Introduction to SelectionDAGs</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The SelectionDAG provides an abstraction for code representation in a way | 
|  | that is amenable to instruction selection using automatic techniques | 
|  | (e.g. dynamic-programming based optimal pattern matching selectors). It is also | 
|  | well-suited to other phases of code generation; in particular, | 
|  | instruction scheduling (SelectionDAG's are very close to scheduling DAGs | 
|  | post-selection).  Additionally, the SelectionDAG provides a host representation | 
|  | where a large variety of very-low-level (but target-independent) | 
|  | <a href="#selectiondag_optimize">optimizations</a> may be | 
|  | performed; ones which require extensive information about the instructions | 
|  | efficiently supported by the target.</p> | 
|  |  | 
|  | <p>The SelectionDAG is a Directed-Acyclic-Graph whose nodes are instances of the | 
|  | <tt>SDNode</tt> class.  The primary payload of the <tt>SDNode</tt> is its | 
|  | operation code (Opcode) that indicates what operation the node performs and | 
|  | the operands to the operation. | 
|  | The various operation node types are described at the top of the | 
|  | <tt>include/llvm/CodeGen/SelectionDAGNodes.h</tt> file.</p> | 
|  |  | 
|  | <p>Although most operations define a single value, each node in the graph may | 
|  | define multiple values.  For example, a combined div/rem operation will define | 
|  | both the dividend and the remainder. Many other situations require multiple | 
|  | values as well.  Each node also has some number of operands, which are edges | 
|  | to the node defining the used value.  Because nodes may define multiple values, | 
|  | edges are represented by instances of the <tt>SDOperand</tt> class, which is | 
|  | a <tt><SDNode, unsigned></tt> pair, indicating the node and result | 
|  | value being used, respectively.  Each value produced by an <tt>SDNode</tt> has | 
|  | an associated <tt>MVT::ValueType</tt> indicating what type the value is.</p> | 
|  |  | 
|  | <p>SelectionDAGs contain two different kinds of values: those that represent | 
|  | data flow and those that represent control flow dependencies.  Data values are | 
|  | simple edges with an integer or floating point value type.  Control edges are | 
|  | represented as "chain" edges which are of type <tt>MVT::Other</tt>.  These edges | 
|  | provide an ordering between nodes that have side effects (such as | 
|  | loads, stores, calls, returns, etc).  All nodes that have side effects should | 
|  | take a token chain as input and produce a new one as output.  By convention, | 
|  | token chain inputs are always operand #0, and chain results are always the last | 
|  | value produced by an operation.</p> | 
|  |  | 
|  | <p>A SelectionDAG has designated "Entry" and "Root" nodes.  The Entry node is | 
|  | always a marker node with an Opcode of <tt>ISD::EntryToken</tt>.  The Root node | 
|  | is the final side-effecting node in the token chain. For example, in a single | 
|  | basic block function it would be the return node.</p> | 
|  |  | 
|  | <p>One important concept for SelectionDAGs is the notion of a "legal" vs. | 
|  | "illegal" DAG.  A legal DAG for a target is one that only uses supported | 
|  | operations and supported types.  On a 32-bit PowerPC, for example, a DAG with | 
|  | a value of type i1, i8, i16, or i64 would be illegal, as would a DAG that uses a | 
|  | SREM or UREM operation.  The | 
|  | <a href="#selectiondag_legalize">legalize</a> phase is responsible for turning | 
|  | an illegal DAG into a legal DAG.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="selectiondag_process">SelectionDAG Instruction Selection Process</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>SelectionDAG-based instruction selection consists of the following steps:</p> | 
|  |  | 
|  | <ol> | 
|  | <li><a href="#selectiondag_build">Build initial DAG</a> - This stage | 
|  | performs a simple translation from the input LLVM code to an illegal | 
|  | SelectionDAG.</li> | 
|  | <li><a href="#selectiondag_optimize">Optimize SelectionDAG</a> - This stage | 
|  | performs simple optimizations on the SelectionDAG to simplify it, and | 
|  | recognize meta instructions (like rotates and <tt>div</tt>/<tt>rem</tt> | 
|  | pairs) for targets that support these meta operations.  This makes the | 
|  | resultant code more efficient and the <a href="#selectiondag_select">select | 
|  | instructions from DAG</a> phase (below) simpler.</li> | 
|  | <li><a href="#selectiondag_legalize">Legalize SelectionDAG</a> - This stage | 
|  | converts the illegal SelectionDAG to a legal SelectionDAG by eliminating | 
|  | unsupported operations and data types.</li> | 
|  | <li><a href="#selectiondag_optimize">Optimize SelectionDAG (#2)</a> - This | 
|  | second run of the SelectionDAG optimizes the newly legalized DAG to | 
|  | eliminate inefficiencies introduced by legalization.</li> | 
|  | <li><a href="#selectiondag_select">Select instructions from DAG</a> - Finally, | 
|  | the target instruction selector matches the DAG operations to target | 
|  | instructions.  This process translates the target-independent input DAG into | 
|  | another DAG of target instructions.</li> | 
|  | <li><a href="#selectiondag_sched">SelectionDAG Scheduling and Formation</a> | 
|  | - The last phase assigns a linear order to the instructions in the | 
|  | target-instruction DAG and emits them into the MachineFunction being | 
|  | compiled.  This step uses traditional prepass scheduling techniques.</li> | 
|  | </ol> | 
|  |  | 
|  | <p>After all of these steps are complete, the SelectionDAG is destroyed and the | 
|  | rest of the code generation passes are run.</p> | 
|  |  | 
|  | <p>One great way to visualize what is going on here is to take advantage of a | 
|  | few LLC command line options.  In particular, the <tt>-view-isel-dags</tt> | 
|  | option pops up a window with the SelectionDAG input to the Select phase for all | 
|  | of the code compiled (if you only get errors printed to the console while using | 
|  | this, you probably <a href="ProgrammersManual.html#ViewGraph">need to configure | 
|  | your system</a> to add support for it).  The <tt>-view-sched-dags</tt> option | 
|  | views the SelectionDAG output from the Select phase and input to the Scheduler | 
|  | phase.  The <tt>-view-sunit-dags</tt> option views the ScheduleDAG, which is | 
|  | based on the final SelectionDAG, with nodes that must be scheduled as a unit | 
|  | bundled together into a single node, and with immediate operands and other | 
|  | nodes that aren't relevent for scheduling omitted. | 
|  | </p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="selectiondag_build">Initial SelectionDAG Construction</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The initial SelectionDAG is naïvely peephole expanded from the LLVM | 
|  | input by the <tt>SelectionDAGLowering</tt> class in the | 
|  | <tt>lib/CodeGen/SelectionDAG/SelectionDAGISel.cpp</tt> file.  The intent of this | 
|  | pass is to expose as much low-level, target-specific details to the SelectionDAG | 
|  | as possible.  This pass is mostly hard-coded (e.g. an LLVM <tt>add</tt> turns | 
|  | into an <tt>SDNode add</tt> while a <tt>geteelementptr</tt> is expanded into the | 
|  | obvious arithmetic). This pass requires target-specific hooks to lower calls, | 
|  | returns, varargs, etc.  For these features, the | 
|  | <tt><a href="#targetlowering">TargetLowering</a></tt> interface is used.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="selectiondag_legalize">SelectionDAG Legalize Phase</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The Legalize phase is in charge of converting a DAG to only use the types and | 
|  | operations that are natively supported by the target.  This involves two major | 
|  | tasks:</p> | 
|  |  | 
|  | <ol> | 
|  | <li><p>Convert values of unsupported types to values of supported types.</p> | 
|  | <p>There are two main ways of doing this: converting small types to | 
|  | larger types ("promoting"), and breaking up large integer types | 
|  | into smaller ones ("expanding").  For example, a target might require | 
|  | that all f32 values are promoted to f64 and that all i1/i8/i16 values | 
|  | are promoted to i32.  The same target might require that all i64 values | 
|  | be expanded into i32 values.  These changes can insert sign and zero | 
|  | extensions as needed to make sure that the final code has the same | 
|  | behavior as the input.</p> | 
|  | <p>A target implementation tells the legalizer which types are supported | 
|  | (and which register class to use for them) by calling the | 
|  | <tt>addRegisterClass</tt> method in its TargetLowering constructor.</p> | 
|  | </li> | 
|  |  | 
|  | <li><p>Eliminate operations that are not supported by the target.</p> | 
|  | <p>Targets often have weird constraints, such as not supporting every | 
|  | operation on every supported datatype (e.g. X86 does not support byte | 
|  | conditional moves and PowerPC does not support sign-extending loads from | 
|  | a 16-bit memory location).  Legalize takes care of this by open-coding | 
|  | another sequence of operations to emulate the operation ("expansion"), by | 
|  | promoting one type to a larger type that supports the operation | 
|  | ("promotion"), or by using a target-specific hook to implement the | 
|  | legalization ("custom").</p> | 
|  | <p>A target implementation tells the legalizer which operations are not | 
|  | supported (and which of the above three actions to take) by calling the | 
|  | <tt>setOperationAction</tt> method in its <tt>TargetLowering</tt> | 
|  | constructor.</p> | 
|  | </li> | 
|  | </ol> | 
|  |  | 
|  | <p>Prior to the existance of the Legalize pass, we required that every target | 
|  | <a href="#selectiondag_optimize">selector</a> supported and handled every | 
|  | operator and type even if they are not natively supported.  The introduction of | 
|  | the Legalize phase allows all of the cannonicalization patterns to be shared | 
|  | across targets, and makes it very easy to optimize the cannonicalized code | 
|  | because it is still in the form of a DAG.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="selectiondag_optimize">SelectionDAG Optimization Phase: the DAG | 
|  | Combiner</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The SelectionDAG optimization phase is run twice for code generation: once | 
|  | immediately after the DAG is built and once after legalization.  The first run | 
|  | of the pass allows the initial code to be cleaned up (e.g. performing | 
|  | optimizations that depend on knowing that the operators have restricted type | 
|  | inputs).  The second run of the pass cleans up the messy code generated by the | 
|  | Legalize pass, which allows Legalize to be very simple (it can focus on making | 
|  | code legal instead of focusing on generating <em>good</em> and legal code).</p> | 
|  |  | 
|  | <p>One important class of optimizations performed is optimizing inserted sign | 
|  | and zero extension instructions.  We currently use ad-hoc techniques, but could | 
|  | move to more rigorous techniques in the future.  Here are some good papers on | 
|  | the subject:</p> | 
|  |  | 
|  | <p> | 
|  | "<a href="http://www.eecs.harvard.edu/~nr/pubs/widen-abstract.html">Widening | 
|  | integer arithmetic</a>"<br> | 
|  | Kevin Redwine and Norman Ramsey<br> | 
|  | International Conference on Compiler Construction (CC) 2004 | 
|  | </p> | 
|  |  | 
|  |  | 
|  | <p> | 
|  | "<a href="http://portal.acm.org/citation.cfm?doid=512529.512552">Effective | 
|  | sign extension elimination</a>"<br> | 
|  | Motohiro Kawahito, Hideaki Komatsu, and Toshio Nakatani<br> | 
|  | Proceedings of the ACM SIGPLAN 2002 Conference on Programming Language Design | 
|  | and Implementation. | 
|  | </p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="selectiondag_select">SelectionDAG Select Phase</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The Select phase is the bulk of the target-specific code for instruction | 
|  | selection.  This phase takes a legal SelectionDAG as input, pattern matches the | 
|  | instructions supported by the target to this DAG, and produces a new DAG of | 
|  | target code.  For example, consider the following LLVM fragment:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | %t1 = add float %W, %X | 
|  | %t2 = mul float %t1, %Y | 
|  | %t3 = add float %t2, %Z | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>This LLVM code corresponds to a SelectionDAG that looks basically like | 
|  | this:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | (fadd:f32 (fmul:f32 (fadd:f32 W, X), Y), Z) | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>If a target supports floating point multiply-and-add (FMA) operations, one | 
|  | of the adds can be merged with the multiply.  On the PowerPC, for example, the | 
|  | output of the instruction selector might look like this DAG:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | (FMADDS (FADDS W, X), Y, Z) | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>The <tt>FMADDS</tt> instruction is a ternary instruction that multiplies its | 
|  | first two operands and adds the third (as single-precision floating-point | 
|  | numbers).  The <tt>FADDS</tt> instruction is a simple binary single-precision | 
|  | add instruction.  To perform this pattern match, the PowerPC backend includes | 
|  | the following instruction definitions:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | def FMADDS : AForm_1<59, 29, | 
|  | (ops F4RC:$FRT, F4RC:$FRA, F4RC:$FRC, F4RC:$FRB), | 
|  | "fmadds $FRT, $FRA, $FRC, $FRB", | 
|  | [<b>(set F4RC:$FRT, (fadd (fmul F4RC:$FRA, F4RC:$FRC), | 
|  | F4RC:$FRB))</b>]>; | 
|  | def FADDS : AForm_2<59, 21, | 
|  | (ops F4RC:$FRT, F4RC:$FRA, F4RC:$FRB), | 
|  | "fadds $FRT, $FRA, $FRB", | 
|  | [<b>(set F4RC:$FRT, (fadd F4RC:$FRA, F4RC:$FRB))</b>]>; | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>The portion of the instruction definition in bold indicates the pattern used | 
|  | to match the instruction.  The DAG operators (like <tt>fmul</tt>/<tt>fadd</tt>) | 
|  | are defined in the <tt>lib/Target/TargetSelectionDAG.td</tt> file. | 
|  | "<tt>F4RC</tt>" is the register class of the input and result values.<p> | 
|  |  | 
|  | <p>The TableGen DAG instruction selector generator reads the instruction | 
|  | patterns in the <tt>.td</tt> file and automatically builds parts of the pattern | 
|  | matching code for your target.  It has the following strengths:</p> | 
|  |  | 
|  | <ul> | 
|  | <li>At compiler-compiler time, it analyzes your instruction patterns and tells | 
|  | you if your patterns make sense or not.</li> | 
|  | <li>It can handle arbitrary constraints on operands for the pattern match.  In | 
|  | particular, it is straight-forward to say things like "match any immediate | 
|  | that is a 13-bit sign-extended value".  For examples, see the | 
|  | <tt>immSExt16</tt> and related <tt>tblgen</tt> classes in the PowerPC | 
|  | backend.</li> | 
|  | <li>It knows several important identities for the patterns defined.  For | 
|  | example, it knows that addition is commutative, so it allows the | 
|  | <tt>FMADDS</tt> pattern above to match "<tt>(fadd X, (fmul Y, Z))</tt>" as | 
|  | well as "<tt>(fadd (fmul X, Y), Z)</tt>", without the target author having | 
|  | to specially handle this case.</li> | 
|  | <li>It has a full-featured type-inferencing system.  In particular, you should | 
|  | rarely have to explicitly tell the system what type parts of your patterns | 
|  | are.  In the <tt>FMADDS</tt> case above, we didn't have to tell | 
|  | <tt>tblgen</tt> that all of the nodes in the pattern are of type 'f32'.  It | 
|  | was able to infer and propagate this knowledge from the fact that | 
|  | <tt>F4RC</tt> has type 'f32'.</li> | 
|  | <li>Targets can define their own (and rely on built-in) "pattern fragments". | 
|  | Pattern fragments are chunks of reusable patterns that get inlined into your | 
|  | patterns during compiler-compiler time.  For example, the integer | 
|  | "<tt>(not x)</tt>" operation is actually defined as a pattern fragment that | 
|  | expands as "<tt>(xor x, -1)</tt>", since the SelectionDAG does not have a | 
|  | native '<tt>not</tt>' operation.  Targets can define their own short-hand | 
|  | fragments as they see fit.  See the definition of '<tt>not</tt>' and | 
|  | '<tt>ineg</tt>' for examples.</li> | 
|  | <li>In addition to instructions, targets can specify arbitrary patterns that | 
|  | map to one or more instructions using the 'Pat' class.  For example, | 
|  | the PowerPC has no way to load an arbitrary integer immediate into a | 
|  | register in one instruction. To tell tblgen how to do this, it defines: | 
|  | <br> | 
|  | <br> | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | // Arbitrary immediate support.  Implement in terms of LIS/ORI. | 
|  | def : Pat<(i32 imm:$imm), | 
|  | (ORI (LIS (HI16 imm:$imm)), (LO16 imm:$imm))>; | 
|  | </pre> | 
|  | </div> | 
|  | <br> | 
|  | If none of the single-instruction patterns for loading an immediate into a | 
|  | register match, this will be used.  This rule says "match an arbitrary i32 | 
|  | immediate, turning it into an <tt>ORI</tt> ('or a 16-bit immediate') and an | 
|  | <tt>LIS</tt> ('load 16-bit immediate, where the immediate is shifted to the | 
|  | left 16 bits') instruction".  To make this work, the | 
|  | <tt>LO16</tt>/<tt>HI16</tt> node transformations are used to manipulate the | 
|  | input immediate (in this case, take the high or low 16-bits of the | 
|  | immediate).</li> | 
|  | <li>While the system does automate a lot, it still allows you to write custom | 
|  | C++ code to match special cases if there is something that is hard to | 
|  | express.</li> | 
|  | </ul> | 
|  |  | 
|  | <p>While it has many strengths, the system currently has some limitations, | 
|  | primarily because it is a work in progress and is not yet finished:</p> | 
|  |  | 
|  | <ul> | 
|  | <li>Overall, there is no way to define or match SelectionDAG nodes that define | 
|  | multiple values (e.g. <tt>ADD_PARTS</tt>, <tt>LOAD</tt>, <tt>CALL</tt>, | 
|  | etc).  This is the biggest reason that you currently still <em>have to</em> | 
|  | write custom C++ code for your instruction selector.</li> | 
|  | <li>There is no great way to support matching complex addressing modes yet.  In | 
|  | the future, we will extend pattern fragments to allow them to define | 
|  | multiple values (e.g. the four operands of the <a href="#x86_memory">X86 | 
|  | addressing mode</a>).  In addition, we'll extend fragments so that a | 
|  | fragment can match multiple different patterns.</li> | 
|  | <li>We don't automatically infer flags like isStore/isLoad yet.</li> | 
|  | <li>We don't automatically generate the set of supported registers and | 
|  | operations for the <a href="#selectiondag_legalize">Legalizer</a> yet.</li> | 
|  | <li>We don't have a way of tying in custom legalized nodes yet.</li> | 
|  | </ul> | 
|  |  | 
|  | <p>Despite these limitations, the instruction selector generator is still quite | 
|  | useful for most of the binary and logical operations in typical instruction | 
|  | sets.  If you run into any problems or can't figure out how to do something, | 
|  | please let Chris know!</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="selectiondag_sched">SelectionDAG Scheduling and Formation Phase</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The scheduling phase takes the DAG of target instructions from the selection | 
|  | phase and assigns an order.  The scheduler can pick an order depending on | 
|  | various constraints of the machines (i.e. order for minimal register pressure or | 
|  | try to cover instruction latencies).  Once an order is established, the DAG is | 
|  | converted to a list of <tt><a href="#machineinstr">MachineInstr</a></tt>s and | 
|  | the SelectionDAG is destroyed.</p> | 
|  |  | 
|  | <p>Note that this phase is logically separate from the instruction selection | 
|  | phase, but is tied to it closely in the code because it operates on | 
|  | SelectionDAGs.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="selectiondag_future">Future directions for the SelectionDAG</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <ol> | 
|  | <li>Optional function-at-a-time selection.</li> | 
|  | <li>Auto-generate entire selector from <tt>.td</tt> file.</li> | 
|  | </ol> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="ssamco">SSA-based Machine Code Optimizations</a> | 
|  | </div> | 
|  | <div class="doc_text"><p>To Be Written</p></div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="liveintervals">Live Intervals</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>Live Intervals are the ranges (intervals) where a variable is <i>live</i>. | 
|  | They are used by some <a href="#regalloc">register allocator</a> passes to | 
|  | determine if two or more virtual registers which require the same physical | 
|  | register are live at the same point in the program (i.e., they conflict).  When | 
|  | this situation occurs, one virtual register must be <i>spilled</i>.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="livevariable_analysis">Live Variable Analysis</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The first step in determining the live intervals of variables is to | 
|  | calculate the set of registers that are immediately dead after the | 
|  | instruction (i.e., the instruction calculates the value, but it is | 
|  | never used) and the set of registers that are used by the instruction, | 
|  | but are never used after the instruction (i.e., they are killed). Live | 
|  | variable information is computed for each <i>virtual</i> register and | 
|  | <i>register allocatable</i> physical register in the function.  This | 
|  | is done in a very efficient manner because it uses SSA to sparsely | 
|  | compute lifetime information for virtual registers (which are in SSA | 
|  | form) and only has to track physical registers within a block.  Before | 
|  | register allocation, LLVM can assume that physical registers are only | 
|  | live within a single basic block.  This allows it to do a single, | 
|  | local analysis to resolve physical register lifetimes within each | 
|  | basic block. If a physical register is not register allocatable (e.g., | 
|  | a stack pointer or condition codes), it is not tracked.</p> | 
|  |  | 
|  | <p>Physical registers may be live in to or out of a function. Live in values | 
|  | are typically arguments in registers. Live out values are typically return | 
|  | values in registers. Live in values are marked as such, and are given a dummy | 
|  | "defining" instruction during live intervals analysis. If the last basic block | 
|  | of a function is a <tt>return</tt>, then it's marked as using all live out | 
|  | values in the function.</p> | 
|  |  | 
|  | <p><tt>PHI</tt> nodes need to be handled specially, because the calculation | 
|  | of the live variable information from a depth first traversal of the CFG of | 
|  | the function won't guarantee that a virtual register used by the <tt>PHI</tt> | 
|  | node is defined before it's used. When a <tt>PHI</tt> node is encounted, only | 
|  | the definition is handled, because the uses will be handled in other basic | 
|  | blocks.</p> | 
|  |  | 
|  | <p>For each <tt>PHI</tt> node of the current basic block, we simulate an | 
|  | assignment at the end of the current basic block and traverse the successor | 
|  | basic blocks. If a successor basic block has a <tt>PHI</tt> node and one of | 
|  | the <tt>PHI</tt> node's operands is coming from the current basic block, | 
|  | then the variable is marked as <i>alive</i> within the current basic block | 
|  | and all of its predecessor basic blocks, until the basic block with the | 
|  | defining instruction is encountered.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="liveintervals_analysis">Live Intervals Analysis</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>We now have the information available to perform the live intervals analysis | 
|  | and build the live intervals themselves.  We start off by numbering the basic | 
|  | blocks and machine instructions.  We then handle the "live-in" values.  These | 
|  | are in physical registers, so the physical register is assumed to be killed by | 
|  | the end of the basic block.  Live intervals for virtual registers are computed | 
|  | for some ordering of the machine instructions <tt>[1, N]</tt>.  A live interval | 
|  | is an interval <tt>[i, j)</tt>, where <tt>1 <= i <= j < N</tt>, for which a | 
|  | variable is live.</p> | 
|  |  | 
|  | <p><i><b>More to come...</b></i></p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="regalloc">Register Allocation</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The <i>Register Allocation problem</i> consists in mapping a program | 
|  | <i>P<sub>v</sub></i>, that can use an unbounded number of virtual | 
|  | registers, to a program <i>P<sub>p</sub></i> that contains a finite | 
|  | (possibly small) number of physical registers. Each target architecture has | 
|  | a different number of physical registers. If the number of physical | 
|  | registers is not enough to accommodate all the virtual registers, some of | 
|  | them will have to be mapped into memory. These virtuals are called | 
|  | <i>spilled virtuals</i>.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  |  | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="regAlloc_represent">How registers are represented in LLVM</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>In LLVM, physical registers are denoted by integer numbers that | 
|  | normally range from 1 to 1023. To see how this numbering is defined | 
|  | for a particular architecture, you can read the | 
|  | <tt>GenRegisterNames.inc</tt> file for that architecture. For | 
|  | instance, by inspecting | 
|  | <tt>lib/Target/X86/X86GenRegisterNames.inc</tt> we see that the 32-bit | 
|  | register <tt>EAX</tt> is denoted by 15, and the MMX register | 
|  | <tt>MM0</tt> is mapped to 48.</p> | 
|  |  | 
|  | <p>Some architectures contain registers that share the same physical | 
|  | location. A notable example is the X86 platform. For instance, in the | 
|  | X86 architecture, the registers <tt>EAX</tt>, <tt>AX</tt> and | 
|  | <tt>AL</tt> share the first eight bits. These physical registers are | 
|  | marked as <i>aliased</i> in LLVM. Given a particular architecture, you | 
|  | can check which registers are aliased by inspecting its | 
|  | <tt>RegisterInfo.td</tt> file. Moreover, the method | 
|  | <tt>MRegisterInfo::getAliasSet(p_reg)</tt> returns an array containing | 
|  | all the physical registers aliased to the register <tt>p_reg</tt>.</p> | 
|  |  | 
|  | <p>Physical registers, in LLVM, are grouped in <i>Register Classes</i>. | 
|  | Elements in the same register class are functionally equivalent, and can | 
|  | be interchangeably used. Each virtual register can only be mapped to | 
|  | physical registers of a particular class. For instance, in the X86 | 
|  | architecture, some virtuals can only be allocated to 8 bit registers. | 
|  | A register class is described by <tt>TargetRegisterClass</tt> objects. | 
|  | To discover if a virtual register is compatible with a given physical, | 
|  | this code can be used: | 
|  | </p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | bool RegMapping_Fer::compatible_class(MachineFunction &mf, | 
|  | unsigned v_reg, | 
|  | unsigned p_reg) { | 
|  | assert(MRegisterInfo::isPhysicalRegister(p_reg) && | 
|  | "Target register must be physical"); | 
|  | const TargetRegisterClass *trc = mf.getSSARegMap()->getRegClass(v_reg); | 
|  | return trc->contains(p_reg); | 
|  | } | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>Sometimes, mostly for debugging purposes, it is useful to change | 
|  | the number of physical registers available in the target | 
|  | architecture. This must be done statically, inside the | 
|  | <tt>TargetRegsterInfo.td</tt> file. Just <tt>grep</tt> for | 
|  | <tt>RegisterClass</tt>, the last parameter of which is a list of | 
|  | registers. Just commenting some out is one simple way to avoid them | 
|  | being used. A more polite way is to explicitly exclude some registers | 
|  | from the <i>allocation order</i>. See the definition of the | 
|  | <tt>GR</tt> register class in | 
|  | <tt>lib/Target/IA64/IA64RegisterInfo.td</tt> for an example of this | 
|  | (e.g., <tt>numReservedRegs</tt> registers are hidden.)</p> | 
|  |  | 
|  | <p>Virtual registers are also denoted by integer numbers. Contrary to | 
|  | physical registers, different virtual registers never share the same | 
|  | number. The smallest virtual register is normally assigned the number | 
|  | 1024. This may change, so, in order to know which is the first virtual | 
|  | register, you should access | 
|  | <tt>MRegisterInfo::FirstVirtualRegister</tt>. Any register whose | 
|  | number is greater than or equal to | 
|  | <tt>MRegisterInfo::FirstVirtualRegister</tt> is considered a virtual | 
|  | register. Whereas physical registers are statically defined in a | 
|  | <tt>TargetRegisterInfo.td</tt> file and cannot be created by the | 
|  | application developer, that is not the case with virtual registers. | 
|  | In order to create new virtual registers, use the method | 
|  | <tt>SSARegMap::createVirtualRegister()</tt>. This method will return a | 
|  | virtual register with the highest code. | 
|  | </p> | 
|  |  | 
|  | <p>Before register allocation, the operands of an instruction are | 
|  | mostly virtual registers, although physical registers may also be | 
|  | used. In order to check if a given machine operand is a register, use | 
|  | the boolean function <tt>MachineOperand::isRegister()</tt>. To obtain | 
|  | the integer code of a register, use | 
|  | <tt>MachineOperand::getReg()</tt>. An instruction may define or use a | 
|  | register. For instance, <tt>ADD reg:1026 := reg:1025 reg:1024</tt> | 
|  | defines the registers 1024, and uses registers 1025 and 1026. Given a | 
|  | register operand, the method <tt>MachineOperand::isUse()</tt> informs | 
|  | if that register is being used by the instruction. The method | 
|  | <tt>MachineOperand::isDef()</tt> informs if that registers is being | 
|  | defined.</p> | 
|  |  | 
|  | <p>We will call physical registers present in the LLVM bitcode before | 
|  | register allocation <i>pre-colored registers</i>. Pre-colored | 
|  | registers are used in many different situations, for instance, to pass | 
|  | parameters of functions calls, and to store results of particular | 
|  | instructions. There are two types of pre-colored registers: the ones | 
|  | <i>implicitly</i> defined, and those <i>explicitly</i> | 
|  | defined. Explicitly defined registers are normal operands, and can be | 
|  | accessed with <tt>MachineInstr::getOperand(int)::getReg()</tt>.  In | 
|  | order to check which registers are implicitly defined by an | 
|  | instruction, use the | 
|  | <tt>TargetInstrInfo::get(opcode)::ImplicitDefs</tt>, where | 
|  | <tt>opcode</tt> is the opcode of the target instruction. One important | 
|  | difference between explicit and implicit physical registers is that | 
|  | the latter are defined statically for each instruction, whereas the | 
|  | former may vary depending on the program being compiled. For example, | 
|  | an instruction that represents a function call will always implicitly | 
|  | define or use the same set of physical registers. To read the | 
|  | registers implicitly used by an instruction, use | 
|  | <tt>TargetInstrInfo::get(opcode)::ImplicitUses</tt>. Pre-colored | 
|  | registers impose constraints on any register allocation algorithm. The | 
|  | register allocator must make sure that none of them is been | 
|  | overwritten by the values of virtual registers while still alive.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  |  | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="regAlloc_howTo">Mapping virtual registers to physical registers</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>There are two ways to map virtual registers to physical registers (or to | 
|  | memory slots). The first way, that we will call <i>direct mapping</i>, | 
|  | is based on the use of methods of the classes <tt>MRegisterInfo</tt>, | 
|  | and <tt>MachineOperand</tt>. The second way, that we will call | 
|  | <i>indirect mapping</i>, relies on the <tt>VirtRegMap</tt> class in | 
|  | order to insert loads and stores sending and getting values to and from | 
|  | memory.</p> | 
|  |  | 
|  | <p>The direct mapping provides more flexibility to the developer of | 
|  | the register allocator; however, it is more error prone, and demands | 
|  | more implementation work.  Basically, the programmer will have to | 
|  | specify where load and store instructions should be inserted in the | 
|  | target function being compiled in order to get and store values in | 
|  | memory. To assign a physical register to a virtual register present in | 
|  | a given operand, use <tt>MachineOperand::setReg(p_reg)</tt>. To insert | 
|  | a store instruction, use | 
|  | <tt>MRegisterInfo::storeRegToStackSlot(...)</tt>, and to insert a load | 
|  | instruction, use <tt>MRegisterInfo::loadRegFromStackSlot</tt>.</p> | 
|  |  | 
|  | <p>The indirect mapping shields the application developer from the | 
|  | complexities of inserting load and store instructions. In order to map | 
|  | a virtual register to a physical one, use | 
|  | <tt>VirtRegMap::assignVirt2Phys(vreg, preg)</tt>.  In order to map a | 
|  | certain virtual register to memory, use | 
|  | <tt>VirtRegMap::assignVirt2StackSlot(vreg)</tt>. This method will | 
|  | return the stack slot where <tt>vreg</tt>'s value will be located.  If | 
|  | it is necessary to map another virtual register to the same stack | 
|  | slot, use <tt>VirtRegMap::assignVirt2StackSlot(vreg, | 
|  | stack_location)</tt>. One important point to consider when using the | 
|  | indirect mapping, is that even if a virtual register is mapped to | 
|  | memory, it still needs to be mapped to a physical register. This | 
|  | physical register is the location where the virtual register is | 
|  | supposed to be found before being stored or after being reloaded.</p> | 
|  |  | 
|  | <p>If the indirect strategy is used, after all the virtual registers | 
|  | have been mapped to physical registers or stack slots, it is necessary | 
|  | to use a spiller object to place load and store instructions in the | 
|  | code. Every virtual that has been mapped to a stack slot will be | 
|  | stored to memory after been defined and will be loaded before being | 
|  | used. The implementation of the spiller tries to recycle load/store | 
|  | instructions, avoiding unnecessary instructions. For an example of how | 
|  | to invoke the spiller, see | 
|  | <tt>RegAllocLinearScan::runOnMachineFunction</tt> in | 
|  | <tt>lib/CodeGen/RegAllocLinearScan.cpp</tt>.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="regAlloc_twoAddr">Handling two address instructions</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>With very rare exceptions (e.g., function calls), the LLVM machine | 
|  | code instructions are three address instructions. That is, each | 
|  | instruction is expected to define at most one register, and to use at | 
|  | most two registers.  However, some architectures use two address | 
|  | instructions. In this case, the defined register is also one of the | 
|  | used register. For instance, an instruction such as <tt>ADD %EAX, | 
|  | %EBX</tt>, in X86 is actually equivalent to <tt>%EAX = %EAX + | 
|  | %EBX</tt>.</p> | 
|  |  | 
|  | <p>In order to produce correct code, LLVM must convert three address | 
|  | instructions that represent two address instructions into true two | 
|  | address instructions. LLVM provides the pass | 
|  | <tt>TwoAddressInstructionPass</tt> for this specific purpose. It must | 
|  | be run before register allocation takes place. After its execution, | 
|  | the resulting code may no longer be in SSA form. This happens, for | 
|  | instance, in situations where an instruction such as <tt>%a = ADD %b | 
|  | %c</tt> is converted to two instructions such as:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | %a = MOVE %b | 
|  | %a = ADD %a %b | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>Notice that, internally, the second instruction is represented as | 
|  | <tt>ADD %a[def/use] %b</tt>. I.e., the register operand <tt>%a</tt> is | 
|  | both used and defined by the instruction.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="regAlloc_ssaDecon">The SSA deconstruction phase</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>An important transformation that happens during register allocation is called | 
|  | the <i>SSA Deconstruction Phase</i>. The SSA form simplifies many | 
|  | analyses that are performed on the control flow graph of | 
|  | programs. However, traditional instruction sets do not implement | 
|  | PHI instructions. Thus, in order to generate executable code, compilers | 
|  | must replace PHI instructions with other instructions that preserve their | 
|  | semantics.</p> | 
|  |  | 
|  | <p>There are many ways in which PHI instructions can safely be removed | 
|  | from the target code. The most traditional PHI deconstruction | 
|  | algorithm replaces PHI instructions with copy instructions. That is | 
|  | the strategy adopted by LLVM. The SSA deconstruction algorithm is | 
|  | implemented in n<tt>lib/CodeGen/>PHIElimination.cpp</tt>. In order to | 
|  | invoke this pass, the identifier <tt>PHIEliminationID</tt> must be | 
|  | marked as required in the code of the register allocator.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="regAlloc_fold">Instruction folding</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p><i>Instruction folding</i> is an optimization performed during | 
|  | register allocation that removes unnecessary copy instructions. For | 
|  | instance, a sequence of instructions such as:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | %EBX = LOAD %mem_address | 
|  | %EAX = COPY %EBX | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>can be safely substituted by the single instruction: | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | %EAX = LOAD %mem_address | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>Instructions can be folded with the | 
|  | <tt>MRegisterInfo::foldMemoryOperand(...)</tt> method. Care must be | 
|  | taken when folding instructions; a folded instruction can be quite | 
|  | different from the original instruction. See | 
|  | <tt>LiveIntervals::addIntervalsForSpills</tt> in | 
|  | <tt>lib/CodeGen/LiveIntervalAnalysis.cpp</tt> for an example of its use.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  |  | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="regAlloc_builtIn">Built in register allocators</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The LLVM infrastructure provides the application developer with | 
|  | three different register allocators:</p> | 
|  |  | 
|  | <ul> | 
|  | <li><i>Simple</i> - This is a very simple implementation that does | 
|  | not keep values in registers across instructions. This register | 
|  | allocator immediately spills every value right after it is | 
|  | computed, and reloads all used operands from memory to temporary | 
|  | registers before each instruction.</li> | 
|  | <li><i>Local</i> - This register allocator is an improvement on the | 
|  | <i>Simple</i> implementation. It allocates registers on a basic | 
|  | block level, attempting to keep values in registers and reusing | 
|  | registers as appropriate.</li> | 
|  | <li><i>Linear Scan</i> - <i>The default allocator</i>. This is the | 
|  | well-know linear scan register allocator. Whereas the | 
|  | <i>Simple</i> and <i>Local</i> algorithms use a direct mapping | 
|  | implementation technique, the <i>Linear Scan</i> implementation | 
|  | uses a spiller in order to place load and stores.</li> | 
|  | </ul> | 
|  |  | 
|  | <p>The type of register allocator used in <tt>llc</tt> can be chosen with the | 
|  | command line option <tt>-regalloc=...</tt>:</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | $ llc -f -regalloc=simple file.bc -o sp.s; | 
|  | $ llc -f -regalloc=local file.bc -o lc.s; | 
|  | $ llc -f -regalloc=linearscan file.bc -o ln.s; | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="proepicode">Prolog/Epilog Code Insertion</a> | 
|  | </div> | 
|  | <div class="doc_text"><p>To Be Written</p></div> | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="latemco">Late Machine Code Optimizations</a> | 
|  | </div> | 
|  | <div class="doc_text"><p>To Be Written</p></div> | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="codeemit">Code Emission</a> | 
|  | </div> | 
|  | <div class="doc_text"><p>To Be Written</p></div> | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="codeemit_asm">Generating Assembly Code</a> | 
|  | </div> | 
|  | <div class="doc_text"><p>To Be Written</p></div> | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="codeemit_bin">Generating Binary Machine Code</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>For the JIT or <tt>.o</tt> file writer</p> | 
|  | </div> | 
|  |  | 
|  |  | 
|  | <!-- *********************************************************************** --> | 
|  | <div class="doc_section"> | 
|  | <a name="targetimpls">Target-specific Implementation Notes</a> | 
|  | </div> | 
|  | <!-- *********************************************************************** --> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>This section of the document explains features or design decisions that | 
|  | are specific to the code generator for a particular target.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="x86">The X86 backend</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The X86 code generator lives in the <tt>lib/Target/X86</tt> directory.  This | 
|  | code generator currently targets a generic P6-like processor.  As such, it | 
|  | produces a few P6-and-above instructions (like conditional moves), but it does | 
|  | not make use of newer features like MMX or SSE.  In the future, the X86 backend | 
|  | will have sub-target support added for specific processor families and | 
|  | implementations.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="x86_tt">X86 Target Triples Supported</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The following are the known target triples that are supported by the X86 | 
|  | backend.  This is not an exhaustive list, and it would be useful to add those | 
|  | that people test.</p> | 
|  |  | 
|  | <ul> | 
|  | <li><b>i686-pc-linux-gnu</b> - Linux</li> | 
|  | <li><b>i386-unknown-freebsd5.3</b> - FreeBSD 5.3</li> | 
|  | <li><b>i686-pc-cygwin</b> - Cygwin on Win32</li> | 
|  | <li><b>i686-pc-mingw32</b> - MingW on Win32</li> | 
|  | <li><b>i386-pc-mingw32msvc</b> - MingW crosscompiler on Linux</li> | 
|  | <li><b>i686-apple-darwin*</b> - Apple Darwin on X86</li> | 
|  | </ul> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="x86_cc">X86 Calling Conventions supported</a> | 
|  | </div> | 
|  |  | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The folowing target-specific calling conventions are known to backend:</p> | 
|  |  | 
|  | <ul> | 
|  | <li><b>x86_StdCall</b> - stdcall calling convention seen on Microsoft Windows | 
|  | platform (CC ID = 64).</li> | 
|  | <li><b>x86_FastCall</b> - fastcall calling convention seen on Microsoft Windows | 
|  | platform (CC ID = 65).</li> | 
|  | </ul> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="x86_memory">Representing X86 addressing modes in MachineInstrs</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>The x86 has a very flexible way of accessing memory.  It is capable of | 
|  | forming memory addresses of the following expression directly in integer | 
|  | instructions (which use ModR/M addressing):</p> | 
|  |  | 
|  | <div class="doc_code"> | 
|  | <pre> | 
|  | Base + [1,2,4,8] * IndexReg + Disp32 | 
|  | </pre> | 
|  | </div> | 
|  |  | 
|  | <p>In order to represent this, LLVM tracks no less than 4 operands for each | 
|  | memory operand of this form.  This means that the "load" form of '<tt>mov</tt>' | 
|  | has the following <tt>MachineOperand</tt>s in this order:</p> | 
|  |  | 
|  | <pre> | 
|  | Index:        0     |    1        2       3           4 | 
|  | Meaning:   DestReg, | BaseReg,  Scale, IndexReg, Displacement | 
|  | OperandTy: VirtReg, | VirtReg, UnsImm, VirtReg,   SignExtImm | 
|  | </pre> | 
|  |  | 
|  | <p>Stores, and all other instructions, treat the four memory operands in the | 
|  | same way and in the same order.</p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="x86_names">Instruction naming</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  |  | 
|  | <p>An instruction name consists of the base name, a default operand size, and a | 
|  | a character per operand with an optional special size. For example:</p> | 
|  |  | 
|  | <p> | 
|  | <tt>ADD8rr</tt> -> add, 8-bit register, 8-bit register<br> | 
|  | <tt>IMUL16rmi</tt> -> imul, 16-bit register, 16-bit memory, 16-bit immediate<br> | 
|  | <tt>IMUL16rmi8</tt> -> imul, 16-bit register, 16-bit memory, 8-bit immediate<br> | 
|  | <tt>MOVSX32rm16</tt> -> movsx, 32-bit register, 16-bit memory | 
|  | </p> | 
|  |  | 
|  | </div> | 
|  |  | 
|  | <!-- ======================================================================= --> | 
|  | <div class="doc_subsection"> | 
|  | <a name="ppc">The PowerPC backend</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The PowerPC code generator lives in the lib/Target/PowerPC directory.  The | 
|  | code generation is retargetable to several variations or <i>subtargets</i> of | 
|  | the PowerPC ISA; including ppc32, ppc64 and altivec. | 
|  | </p> | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="ppc_abi">LLVM PowerPC ABI</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>LLVM follows the AIX PowerPC ABI, with two deviations. LLVM uses a PC | 
|  | relative (PIC) or static addressing for accessing global values, so no TOC (r2) | 
|  | is used. Second, r31 is used as a frame pointer to allow dynamic growth of a | 
|  | stack frame.  LLVM takes advantage of having no TOC to provide space to save | 
|  | the frame pointer in the PowerPC linkage area of the caller frame.  Other | 
|  | details of PowerPC ABI can be found at <a href= | 
|  | "http://developer.apple.com/documentation/DeveloperTools/Conceptual/LowLevelABI/Articles/32bitPowerPC.html" | 
|  | >PowerPC ABI.</a> Note: This link describes the 32 bit ABI.  The | 
|  | 64 bit ABI is similar except space for GPRs are 8 bytes wide (not 4) and r13 is | 
|  | reserved for system use.</p> | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="ppc_frame">Frame Layout</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The size of a PowerPC frame is usually fixed for the duration of a | 
|  | function’s invocation.  Since the frame is fixed size, all references into | 
|  | the frame can be accessed via fixed offsets from the stack pointer.  The | 
|  | exception to this is when dynamic alloca or variable sized arrays are present, | 
|  | then a base pointer (r31) is used as a proxy for the stack pointer and stack | 
|  | pointer is free to grow or shrink.  A base pointer is also used if llvm-gcc is | 
|  | not passed the -fomit-frame-pointer flag. The stack pointer is always aligned to | 
|  | 16 bytes, so that space allocated for altivec vectors will be properly | 
|  | aligned.</p> | 
|  | <p>An invocation frame is layed out as follows (low memory at top);</p> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <table class="layout"> | 
|  | <tr> | 
|  | <td>Linkage<br><br></td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>Parameter area<br><br></td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>Dynamic area<br><br></td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>Locals area<br><br></td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>Saved registers area<br><br></td> | 
|  | </tr> | 
|  | <tr style="border-style: none hidden none hidden;"> | 
|  | <td><br></td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>Previous Frame<br><br></td> | 
|  | </tr> | 
|  | </table> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The <i>linkage</i> area is used by a callee to save special registers prior | 
|  | to allocating its own frame.  Only three entries are relevant to LLVM. The | 
|  | first entry is the previous stack pointer (sp), aka link.  This allows probing | 
|  | tools like gdb or exception handlers to quickly scan the frames in the stack.  A | 
|  | function epilog can also use the link to pop the frame from the stack.  The | 
|  | third entry in the linkage area is used to save the return address from the lr | 
|  | register. Finally, as mentioned above, the last entry is used to save the | 
|  | previous frame pointer (r31.)  The entries in the linkage area are the size of a | 
|  | GPR, thus the linkage area is 24 bytes long in 32 bit mode and 48 bytes in 64 | 
|  | bit mode.</p> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>32 bit linkage area</p> | 
|  | <table class="layout"> | 
|  | <tr> | 
|  | <td>0</td> | 
|  | <td>Saved SP (r1)</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>4</td> | 
|  | <td>Saved CR</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>8</td> | 
|  | <td>Saved LR</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>12</td> | 
|  | <td>Reserved</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>16</td> | 
|  | <td>Reserved</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>20</td> | 
|  | <td>Saved FP (r31)</td> | 
|  | </tr> | 
|  | </table> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>64 bit linkage area</p> | 
|  | <table class="layout"> | 
|  | <tr> | 
|  | <td>0</td> | 
|  | <td>Saved SP (r1)</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>8</td> | 
|  | <td>Saved CR</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>16</td> | 
|  | <td>Saved LR</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>24</td> | 
|  | <td>Reserved</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>32</td> | 
|  | <td>Reserved</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td>40</td> | 
|  | <td>Saved FP (r31)</td> | 
|  | </tr> | 
|  | </table> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The <i>parameter area</i> is used to store arguments being passed to a callee | 
|  | function.  Following the PowerPC ABI, the first few arguments are actually | 
|  | passed in registers, with the space in the parameter area unused.  However, if | 
|  | there are not enough registers or the callee is a thunk or vararg function, | 
|  | these register arguments can be spilled into the parameter area.  Thus, the | 
|  | parameter area must be large enough to store all the parameters for the largest | 
|  | call sequence made by the caller.  The size must also be mimimally large enough | 
|  | to spill registers r3-r10.  This allows callees blind to the call signature, | 
|  | such as thunks and vararg functions, enough space to cache the argument | 
|  | registers.  Therefore, the parameter area is minimally 32 bytes (64 bytes in 64 | 
|  | bit mode.)  Also note that since the parameter area is a fixed offset from the | 
|  | top of the frame, that a callee can access its spilt arguments using fixed | 
|  | offsets from the stack pointer (or base pointer.)</p> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>Combining the information about the linkage, parameter areas and alignment. A | 
|  | stack frame is minimally 64 bytes in 32 bit mode and 128 bytes in 64 bit | 
|  | mode.</p> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The <i>dynamic area</i> starts out as size zero.  If a function uses dynamic | 
|  | alloca then space is added to the stack, the linkage and parameter areas are | 
|  | shifted to top of stack, and the new space is available immediately below the | 
|  | linkage and parameter areas.  The cost of shifting the linkage and parameter | 
|  | areas is minor since only the link value needs to be copied.  The link value can | 
|  | be easily fetched by adding the original frame size to the base pointer.  Note | 
|  | that allocations in the dynamic space need to observe 16 byte aligment.</p> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The <i>locals area</i> is where the llvm compiler reserves space for local | 
|  | variables.</p> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The <i>saved registers area</i> is where the llvm compiler spills callee saved | 
|  | registers on entry to the callee.</p> | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="ppc_prolog">Prolog/Epilog</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p>The llvm prolog and epilog are the same as described in the PowerPC ABI, with | 
|  | the following exceptions.  Callee saved registers are spilled after the frame is | 
|  | created.  This allows the llvm epilog/prolog support to be common with other | 
|  | targets.  The base pointer callee saved register r31 is saved in the TOC slot of | 
|  | linkage area.  This simplifies allocation of space for the base pointer and | 
|  | makes it convenient to locate programatically and during debugging.</p> | 
|  | </div> | 
|  |  | 
|  | <!-- _______________________________________________________________________ --> | 
|  | <div class="doc_subsubsection"> | 
|  | <a name="ppc_dynamic">Dynamic Allocation</a> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p></p> | 
|  | </div> | 
|  |  | 
|  | <div class="doc_text"> | 
|  | <p><i>TODO - More to come.</i></p> | 
|  | </div> | 
|  |  | 
|  |  | 
|  | <!-- *********************************************************************** --> | 
|  | <hr> | 
|  | <address> | 
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|  |  | 
|  | <a href="mailto:sabre@nondot.org">Chris Lattner</a><br> | 
|  | <a href="http://llvm.org">The LLVM Compiler Infrastructure</a><br> | 
|  | Last modified: $Date$ | 
|  | </address> | 
|  |  | 
|  | </body> | 
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