dotty.tools.backend.jvm

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Value

Summary on the ASM analyzer framework

Value

  • Abstract, needs to be implemented for each analysis.
  • Represents the desired information about local variables and stack values, for example:
    • Is this value known to be null / not null?
    • What are the instructions that could potentially have produced this value?

Interpreter

  • Abstract, needs to be implemented for each analysis. Sometimes one can subclass an existing interpreter, e.g., SourceInterpreter or BasicInterpreter.
  • Multiple abstract methods that receive an instruction and the instruction's input values, and return a value representing the result of that instruction.
    • Note: due to control flow, the interpreter can be invoked multiple times for the same instruction, until reaching a fixed point.
  • Abstract merge function that computes the least upper bound of two values. Used by Frame.merge (see below).

Frame

  • Can be used directly for many analyses, no subclass required.
  • Every frame has an array of values: one for each local variable and for each stack slot.
    • A top index stores the index of the current stack top
    • NOTE: for a size-2 local variable at index i, the local variable at i+1 is set to an empty value. However, for a size-2 value at index i on the stack, the value at i+1 holds the next stack value. IMPORTANT: this is only the case in ASM's analysis framework, not in bytecode. See comment below.
  • Defines the execute(instruction) method.
    • executing mutates the state of the frame according to the effect of the instruction
      • pop consumed values from the stack
      • pass them to the interpreter together with the instruction
      • if applicable, push the resulting value on the stack
  • Defines the merge(otherFrame) method
    • called by the analyzer when multiple control flow paths lead to an instruction
      • the frame at the branching instruction is merged into the current frame of the instruction (held by the analyzer)
      • mutates the values of the current frame, merges all values using interpreter.merge.

Analyzer

  • Stores a frame for each instruction
  • merge function takes an instruction and a frame, merges the existing frame for that instr (from the frames array) with the new frame passed as argument. if the frame changed, puts the instruction on the work queue (fixpoint).
  • initial frame: initialized for first instr by calling interpreter.new[...]Value for each slot (locals and params), stored in frames[firstInstr] by calling merge
  • work queue of instructions (queue array, top index for next instruction to analyze)
  • analyze(method): simulate control flow. while work queue non-empty:
    • copy the state of frames[instr] into a local frame current
    • call current.execute(instr, interpreter), mutating the current frame
    • if it's a branching instruction
      • for all potential destination instructions
        • merge the destination instruction frame with the current frame (this enqueues the destination instr if its frame changed)
      • invoke newControlFlowEdge (see below)
  • the analyzer also tracks active exception handlers at each instruction
  • the empty method newControlFlowEdge can be overridden to track control flow if required

MaxLocals and MaxStack

At the JVM level, long and double values occupy two slots, both as local variables and on the stack, as specified in the JVM spec 2.6.2: "At any point in time, an operand stack has an associated depth, where a value of type long or double contributes two units to the depth and a value of any other type contributes one unit."

For example, a method class A { def f(a: Long, b: Long) = a + b } has MAXSTACK=4 in the classfile. This value is computed by the ClassWriter / MethodWriter when generating the classfile (we always pass COMPUTE_MAXS to the ClassWriter).

For running an ASM Analyzer, long and double values occupy two local variable slots, but only a single slot on the call stack, as shown by the following snippet:

import backend.jvm.* import backend.jvm.opt.ByteCodeUtils.* import scala.collection.convert.decorateAsScala.* import scala.tools.asm.tree.analysis.*

val cn = AsmUtils.readClass("/Users/luc/scala/scala/sandbox/A.class") val m = cn.methods.iterator.asScala.find(_.name == "f").head

// the value is read from the classfile, so it's 4 println(s"maxLocals: ${m.maxLocals}, maxStack: ${m.maxStack}") // maxLocals: 5, maxStack: 4

// we can safely set it to 2 for running the analyzer. m.maxStack = 2

val a = new Analyzer(new BasicInterpreter) a.analyze(cn.name, m) val addInsn = m.instructions.iterator.asScala.find(_.getOpcode == 97).get // LADD Opcode val addFrame = a.frameAt(addInsn, m)

addFrame.getStackSize // 2: the two long values only take one slot each addFrame.getLocals // 5: this takes one slot, the two long parameters take 2 slots each

While running the optimizer, we need to make sure that the maxStack value of a method is large enough for running an ASM analyzer. We don't need to worry if the value is incorrect in the JVM perspective: the value will be re-computed and overwritten in the ClassWriter.

Lessons learnt while benchmarking the alias tracking analysis

Profiling

  • Use YourKit for finding hotspots (cpu profiling). when it comes to drilling down into the details of a hotspot, don't pay too much attention to the percentages / time counts.
  • Should also try other profilers.
  • Use timers. When a method showed up as a hotspot, I added a timer around that method, and a second one within the method to measure specific parts. The timers slow things down, but the relative numbers show what parts of a method are slow.

ASM analyzer insights

  • The time for running an analysis depends on the number of locals and the number of instructions. Reducing the number of locals helps speeding up the analysis: there are less values to merge when merging to frames. See also https://github.com/scala/scala-dev/issues/47
  • The common hot spot of an ASM analysis is Frame.merge, for example in producers / consumers.
  • For nullness analysis the time is spent as follows
    • 20% merging nullness values. this is as expected: for example, the same absolute amount of time is spent in merging BasicValues when running a BasicInterpreter.
    • 50% merging alias sets. i tried to optimize what i could out of this.
    • 20% is spent creating new frames from existing ones, see comment on AliasingFrame.init.
  • The implementation of Frame.merge (the main hot spot) contains a megamorphic callsite to interpreter.merge. This can be observed easily by running a test program that either runs a BasicValue analysis only, versus a program that first runs a nullness analysis and then a BasicValue. In an example, the time for the BasicValue analysis goes from 519ms to 1963ms, a 3.8x slowdown.
  • I added counters to the Frame.merge methods for nullness and BasicValue analysis. In the examples I benchmarked, the number of merge invocations was always exactly the same. It would probably be possible to come up with an example where alias set merging forces additional analysis rounds until reaching the fixpoint, but I did not observe such cases.

To benchmark an analysis, instead of benchmarking analysis while it runs in the compiler backend, one can easily run it from a separate program (or the repl). The bytecode to analyze can simply be parsed from a classfile. See example at the end of this comment.

Nullness Analysis in Miguel's Optimizer

Miguel implemented alias tracking for nullness analysis differently [1]. Remember that every frame has an array of values. Miguel's idea was to represent aliasing using reference equality in the values array: if two entries in the array point to the same value object, the two entries are aliases in the frame of the given instruction.

While this idea seems elegant at first sight, Miguel's implementation does not merge frames correctly when it comes to aliasing. Assume in frame 1, values (a, b, c) are aliases, while in frame 2 (a, b) are aliases. When merging the second into the first, we have to make sure that c is removed as an alias of (a, b).

It would be possible to implement correct alias set merging in Miguel's approach. However, frame merging is the main hot spot of analysis. The computational complexity of implementing alias set merging by traversing the values array and comparing references is too high. The concrete alias set representation that is used in the current implementation (see class AliasingFrame) makes alias set merging more efficient.

[1] https://github.com/scala-opt/scala/blob/opt/rebase/src/compiler/scala/tools/nsc/backend/bcode/NullnessPropagator.java

Complexity and scaling of analysis

The time complexity of a data flow analysis depends on:

  • The size of the method. The complexity factor is linear (assuming the number of locals and branching instructions remains constant). The main analysis loop runs through all instructions of a method once. Instructions are only re-enqueued if a control flow merge changes the frame at some instruction.

  • The branching instructions. When a second (third, ..) control flow edge arrives at an instruction, the existing frame at the instruction is merged with the one computed on the new branch. If the merge function changes the existing frame, the instruction is enqueued for another analysis. This results in a merge operation for the successors of the instruction.

  • The number of local variables. The hot spot of analysis is frame merging. The merge function iterates through the values in the frame (locals and stack values) and merges them.

I measured the running time of an analysis for two examples:

  • Keep the number of locals and branching instructions constant, increase the number of instructions. The running time grows linearly with the method size.
  • Increase the size and number of locals in a method. The method size and number of locals grow in the same pace. Here, the running time increase is polynomial. It looks like the complexity is be #instructions * #locals^2 (see below).

I measured nullness analysis (which tracks aliases) and a SimpleValue analysis. Nullness runs roughly 5x slower (because of alias tracking) at every problem size - this factor doesn't change.

The numbers below are for nullness. Note that the last column is constant, i.e., the running time is proportional to #ins * #loc^2. Therefore we use this factor when limiting the maximal method size for running an analysis.

#insns #locals time (ms) time / #ins * #loc^2 * 10^6 1305 156 34 1.07 2610 311 165 0.65 3915 466 490 0.57 5220 621 1200 0.59 6525 776 2220 0.56 7830 931 3830 0.56 9135 1086 6570 0.60 10440 1241 9700 0.60 11745 1396 13800 0.60

As a second experiment, nullness analysis was run with varying #insns but constant #locals. The last column shows linear complexity with respect to the method size (linearOffset = 2279):

#insns #locals time (ms) (time + linearOffset) / #insns 5220 621 1090 0.645 6224 621 1690 0.637 7226 621 2280 0.630 8228 621 2870 0.625 9230 621 3530 0.629 10232 621 4130 0.626 11234 621 4770 0.627 12236 621 5520 0.637 13238 621 6170 0.638

When running a BasicValue analysis, the complexity observation is the same (time is proportional to #ins * #loc^2).

Measuring analysis execution time

See code below.

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Type members

Classlikes

case class ArrayBType(componentType: BType) extends RefBType

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trait Serializable
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trait RefBType
trait BType
class Object
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class Any
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object AsmUtils

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class Object
trait Matchable
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AsmUtils.type

Code shared between GenBCode and GenASM that depends on types defined in the compiler cake (Global).

Code shared between GenBCode and GenASM that depends on types defined in the compiler cake (Global).

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class Object
trait Matchable
class Any
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trait BCodeBodyBuilder(val primitives: DottyPrimitives)(using ctx: Context) extends BCodeSkelBuilder

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trait BCodeHelpers
class Object
trait Matchable
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trait BCodeHelpers(val backendUtils: BackendUtils)(using ctx: Context) extends BCodeIdiomatic

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object BCodeHelpers

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trait BCodeIdiomatic(using x$1: Context)

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class Object
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trait BCodeSkelBuilder(using ctx: Context) extends BCodeHelpers

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trait BCodeHelpers
class Object
trait Matchable
class Any
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trait BCodeSyncAndTry(using ctx: Context) extends BCodeBodyBuilder

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trait BCodeHelpers
class Object
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object BCodeUtils

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class Object
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BCodeUtils.type
case object BOOL extends PrimitiveBType

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sealed trait BType

A BType is either a primitive type, a ClassBType, an ArrayBType of one of these, or a MethodType referring to BTypes.

A BType is either a primitive type, a ClassBType, an ArrayBType of one of these, or a MethodType referring to BTypes.

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class Object
trait Matchable
class Any
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class MethodBType
object BOOL
object BYTE
object CHAR
object DOUBLE
object FLOAT
object INT
object LONG
object SHORT
object UNIT
trait RefBType
class ArrayBType
class ClassBType
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object BTypes

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class Object
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BTypes.type
case object BYTE extends PrimitiveBType

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BYTE.type

Utilities for error reporting.

Utilities for error reporting.

Defines some utility methods to make error reporting with Either easier.

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sealed trait BackendReporting

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class Object
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object BackendUtils

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class BackendUtils(val ppa: PostProcessorFrontendAccess, val ts: CoreBTypes)(using x$3: Context)

This component hosts tools and utilities used in the backend that require access to a CoreBTypes instance.

This component hosts tools and utilities used in the backend that require access to a CoreBTypes instance.

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class Object
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final class BufferingBackendReporting(using x$1: Context) extends BackendReporting

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class Object
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case object CHAR extends PrimitiveBType

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case class ClassBType extends RefBType

A ClassBType represents a class or interface type.

A ClassBType represents a class or interface type.

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object ClassBType

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final case class ClassInfo(superClass: Option[ClassBType], interfaces: List[ClassBType], flags: Int, nestedClasses: List[ClassBType], nestedInfo: Option[NestedInfo], source: ClassInfoSource)

The type info for a class. Used for symboltable-independent subtype checks in the backend.

The type info for a class. Used for symboltable-independent subtype checks in the backend.

Value parameters

flags

The java flags, obtained through javaFlags. Used also to derive the flags for InnerClass entries.

interfaces

All transitively implemented interfaces, except for those inherited through the superclass.

nestedClasses

Classes nested in this class. Those need to be added to the InnerClass table, see the InnerClass spec summary above.

nestedInfo

If this describes a nested class, information for the InnerClass table.

source

Information about how this class was sourced.

superClass

The super class, not defined for class java/lang/Object.

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trait Serializable
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Source of a ClassInfo, used to load further information such as inlining-related info

Source of a ClassInfo, used to load further information such as inlining-related info

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!!! This file is now copied in dotty.tools.io.FileWriters in a more general way that does not rely upon PostProcessorFrontendAccess, this should probably be changed to wrap that class instead.

!!! This file is now copied in dotty.tools.io.FileWriters in a more general way that does not rely upon PostProcessorFrontendAccess, this should probably be changed to wrap that class instead.

Until then, any changes to this file should be copied to dotty.tools.io.FileWriters as well.

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class Object
trait Matchable
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class CodeGen(val backendUtils: BackendUtils, val primitives: DottyPrimitives, val frontendAccess: PostProcessorFrontendAccess, val callGraph: CallGraph, val ts: CoreBTypes)(using x$6: Context)

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class Object
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abstract class CoreBTypes(frontendAccess: PostProcessorFrontendAccess)(using ctx: Context)

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class Object
trait Matchable
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final class CoreBTypesFromSymbols(ppa: PostProcessorFrontendAccess)(using val ctx: Context) extends CoreBTypes

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class CoreBTypes
class Object
trait Matchable
class Any
case object DOUBLE extends PrimitiveBType

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trait Singleton
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class Object
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DOUBLE.type

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class Object
trait Matchable
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class Object
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class DottyPrimitives(ictx: Context)

Scala primitive operations are represented as methods in Any and AnyVal subclasses. Here we demultiplex them by providing a mapping from their symbols to integers. Different methods exist for different value types, but with the same meaning (like plus, minus, etc.). They will all be mapped to the same int.

Scala primitive operations are represented as methods in Any and AnyVal subclasses. Here we demultiplex them by providing a mapping from their symbols to integers. Different methods exist for different value types, but with the same meaning (like plus, minus, etc.). They will all be mapped to the same int.

Note: The three equal methods have the following semantics:

  • "==" checks for null, and if non-null, calls java.lang.Object.equals (class: Any; modifier: final). Primitive: EQ
  • "eq" usual reference comparison (class: AnyRef; modifier: final). Primitive: ID
  • "equals" user-defined equality (Java semantics) (class: Object; modifier: none). Primitive: EQUALS

Inspired from the scalac compiler.

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class Object
trait Matchable
class Any
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class JSPrimitives
case object FLOAT extends PrimitiveBType

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trait Singleton
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trait BType
class Object
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FLOAT.type
object GenBCode

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GenBCode.type
class GenBCode extends Phase

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class Phase
class Object
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object GenBCodeOps

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class Object
trait Matchable
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case class GeneratedClass(classNode: ClassNode, sourceClassName: String, position: SourcePosition, isArtifact: Boolean, onFileCreated: AbstractFile => Unit)

The result of code generation. isArtifact is true for mirror.

The result of code generation. isArtifact is true for mirror.

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trait Serializable
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case class GeneratedCompilationUnit(sourceFile: AbstractFile, classes: List[GeneratedClass], tasty: List[GeneratedTasty])(using ctx: Context)

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case class GeneratedTasty(classNode: ClassNode, tastyGen: () => Array[Byte])

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trait Serializable
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abstract class GenericSignatureVisitor(nestedOnly: Boolean)

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class Object
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case object INT extends PrimitiveBType

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trait Singleton
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case class InnerClassEntry(name: String, outerName: String, innerName: String, flags: Int)

This class holds the data for an entry in the InnerClass table. See the InnerClass summary above in this file.

This class holds the data for an entry in the InnerClass table. See the InnerClass summary above in this file.

There's some overlap with the class NestedInfo, but it's not exactly the same and cleaner to keep separate.

Value parameters

flags

The flags for this class in the InnerClass entry.

innerName

The simple name of the inner class, may be null.

name

The internal name of the class.

outerName

The internal name of the outer class, may be null.

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trait Serializable
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class Object
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case object LONG extends PrimitiveBType

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trait Singleton
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LONG.type
case class MethodBType(argumentTypes: List[BType], returnType: BType) extends BType

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trait Serializable
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trait BType
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case class MethodNameAndType(name: String, methodType: MethodBType)

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trait Serializable
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abstract class NestedClassesCollector[T](nestedOnly: Boolean) extends GenericSignatureVisitor

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class Object
trait Matchable
class Any
case class NestedInfo(enclosingClass: ClassBType, outerName: Option[String], innerName: Option[String], isStaticNestedClass: Boolean)

Information required to add a class to an InnerClass table. The spec summary above explains what information is required for the InnerClass entry.

Information required to add a class to an InnerClass table. The spec summary above explains what information is required for the InnerClass entry.

Value parameters

enclosingClass

The enclosing class, if it is also nested. When adding a class to the InnerClass table, enclosing nested classes are also added.

innerName

The innerName field, may be None.

isStaticNestedClass

True if this is a static nested class (not inner class) () () Note that the STATIC flag in ClassInfo.flags, obtained through javaFlags(classSym), is not correct for the InnerClass entry, see javaFlags. The static flag in the InnerClass describes a source-level propety: if the class is in a static context (does not have an outer pointer). This is checked when building the NestedInfo.

outerName

The outerName field in the InnerClass entry, may be None.

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trait Serializable
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class PostProcessor(val frontendAccess: PostProcessorFrontendAccess, primitives: DottyPrimitives, ts: CoreBTypes)(using x$4: Context)

Implements late stages of the backend, i.e., optimizations, post-processing and classfile serialization and writing.

Implements late stages of the backend, i.e., optimizations, post-processing and classfile serialization and writing.

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class Object
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sealed abstract class PostProcessorFrontendAccess(val ctx: FreshContext)

Functionality needed in the post-processor whose implementation depends on the compiler frontend. All methods are synchronized.

Functionality needed in the post-processor whose implementation depends on the compiler frontend. All methods are synchronized.

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class Impl

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class Object
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sealed trait PrimitiveBType extends BType

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trait BType
class Object
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object BOOL
object BYTE
object CHAR
object DOUBLE
object FLOAT
object INT
object LONG
object SHORT
object UNIT
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object Primitives

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class Object
trait Matchable
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Primitives.type
sealed trait RefBType extends BType

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trait BType
class Object
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class Any
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class ArrayBType
class ClassBType
case object SHORT extends PrimitiveBType

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trait Singleton
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trait BType
class Object
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SHORT.type
case object UNIT extends PrimitiveBType

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trait Singleton
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