package
0.0.0-20201020153340-53909ea70814
Repository: https://github.com/gagliardetto/golang-go.git
Documentation: pkg.go.dev

# README

Introduction to the Go compiler's SSA backend

This package contains the compiler's Static Single Assignment form component. If you're not familiar with SSA, its Wikipedia article is a good starting point.

It is recommended that you first read cmd/compile/README.md if you are not familiar with the Go compiler already. That document gives an overview of the compiler, and explains what is SSA's part and purpose in it.

Key concepts

The names described below may be loosely related to their Go counterparts, but note that they are not equivalent. For example, a Go block statement has a variable scope, yet SSA has no notion of variables nor variable scopes.

It may also be surprising that values and blocks are named after their unique sequential IDs. They rarely correspond to named entities in the original code, such as variables or function parameters. The sequential IDs also allow the compiler to avoid maps, and it is always possible to track back the values to Go code using debug and position information.

Values

Values are the basic building blocks of SSA. Per SSA's very definition, a value is defined exactly once, but it may be used any number of times. A value mainly consists of a unique identifier, an operator, a type, and some arguments.

An operator or Op describes the operation that computes the value. The semantics of each operator can be found in gen/*Ops.go. For example, OpAdd8 takes two value arguments holding 8-bit integers and results in their addition. Here is a possible SSA representation of the addition of two uint8 values:

// var c uint8 = a + b
v4 = Add8 <uint8> v2 v3

A value's type will usually be a Go type. For example, the value in the example above has a uint8 type, and a constant boolean value will have a bool type. However, certain types don't come from Go and are special; below we will cover memory, the most common of them.

See value.go for more information.

Memory types

memory represents the global memory state. An Op that takes a memory argument depends on that memory state, and an Op which has the memory type impacts the state of memory. This ensures that memory operations are kept in the right order. For example:

// *a = 3
// *b = *a
v10 = Store <mem> {int} v6 v8 v1
v14 = Store <mem> {int} v7 v8 v10

Here, Store stores its second argument (of type int) into the first argument (of type *int). The last argument is the memory state; since the second store depends on the memory value defined by the first store, the two stores cannot be reordered.

See cmd/compile/internal/types/type.go for more information.

Blocks

A block represents a basic block in the control flow graph of a function. It is, essentially, a list of values that define the operation of this block. Besides the list of values, blocks mainly consist of a unique identifier, a kind, and a list of successor blocks.

The simplest kind is a plain block; it simply hands the control flow to another block, thus its successors list contains one block.

Another common block kind is the exit block. These have a final value, called control value, which must return a memory state. This is necessary for functions to return some values, for example - the caller needs some memory state to depend on, to ensure that it receives those return values correctly.

The last important block kind we will mention is the if block. It has a single control value that must be a boolean value, and it has exactly two successor blocks. The control flow is handed to the first successor if the bool is true, and to the second otherwise.

Here is a sample if-else control flow represented with basic blocks:

// func(b bool) int {
// 	if b {
// 		return 2
// 	}
// 	return 3
// }
b1:
  v1 = InitMem <mem>
  v2 = SP <uintptr>
  v5 = Addr <*int> {~r1} v2
  v6 = Arg <bool> {b}
  v8 = Const64 <int> [2]
  v12 = Const64 <int> [3]
  If v6 -> b2 b3
b2: <- b1
  v10 = VarDef <mem> {~r1} v1
  v11 = Store <mem> {int} v5 v8 v10
  Ret v11
b3: <- b1
  v14 = VarDef <mem> {~r1} v1
  v15 = Store <mem> {int} v5 v12 v14
  Ret v15

See block.go for more information.

Functions

A function represents a function declaration along with its body. It mainly consists of a name, a type (its signature), a list of blocks that form its body, and the entry block within said list.

When a function is called, the control flow is handed to its entry block. If the function terminates, the control flow will eventually reach an exit block, thus ending the function call.

Note that a function may have zero or multiple exit blocks, just like a Go function can have any number of return points, but it must have exactly one entry point block.

Also note that some SSA functions are autogenerated, such as the hash functions for each type used as a map key.

For example, this is what an empty function can look like in SSA, with a single exit block that returns an uninteresting memory state:

foo func()
  b1:
    v1 = InitMem <mem>
    Ret v1

See func.go for more information.

Compiler passes

Having a program in SSA form is not very useful on its own. Its advantage lies in how easy it is to write optimizations that modify the program to make it better. The way the Go compiler accomplishes this is via a list of passes.

Each pass transforms a SSA function in some way. For example, a dead code elimination pass will remove blocks and values that it can prove will never be executed, and a nil check elimination pass will remove nil checks which it can prove to be redundant.

Compiler passes work on one function at a time, and by default run sequentially and exactly once.

The lower pass is special; it converts the SSA representation from being machine-independent to being machine-dependent. That is, some abstract operators are replaced with their non-generic counterparts, potentially reducing or increasing the final number of values.

See the passes list defined in compile.go for more information.

Playing with SSA

A good way to see and get used to the compiler's SSA in action is via GOSSAFUNC. For example, to see func Foo's initial SSA form and final generated assembly, one can run:

GOSSAFUNC=Foo go build

The generated ssa.html file will also contain the SSA func at each of the compile passes, making it easy to see what each pass does to a particular program. You can also click on values and blocks to highlight them, to help follow the control flow and values.

Hacking on SSA

While most compiler passes are implemented directly in Go code, some others are code generated. This is currently done via rewrite rules, which have their own syntax and are maintained in gen/*.rules. Simpler optimizations can be written easily and quickly this way, but rewrite rules are not suitable for more complex optimizations.

To read more on rewrite rules, have a look at the top comments in gen/generic.rules and gen/rulegen.go.

Similarly, the code to manage operators is also code generated from gen/*Ops.go, as it is easier to maintain a few tables than a lot of code. After changing the rules or operators, see gen/README for instructions on how to generate the Go code again.

# Functions

BuildFuncDebug returns debug information for f.
Compile is the main entry point for this package.
No description provided by the author
IsGlobalAddr reports whether v is known to be an address of a global (or nil).
IsNewObject reports whether v is a pointer to a freshly allocated & zeroed object at memory state mem.
IsReadOnlyGlobalAddr reports whether v is known to be an address of a read-only global.
IsSanitizerSafeAddr reports whether v is known to be an address that doesn't need instrumentation.
IsStackAddr reports whether v is known to be an address of a stack slot.
LosesStmtMark reports whether a prog with op as loses its statement mark on the way to DWARF.
NeedsFixUp reports whether the division needs fix-up code.
NewConfig returns a new configuration object for the given architecture.
NewFunc returns a new, empty function object.
No description provided by the author
NewSparseTreeHelper returns a SparseTreeHelper for use in the gc package, for example in phi-function placement.
NewTypes creates and populates a Types.
PhaseOption sets the specified flag in the specified ssa phase, returning empty string if this was successful or a string explaining the error if it was not.
ReachableBlocks returns the reachable blocks in f.
StructMakeOp returns the opcode to construct a struct with the given number of fields.

# Constants

defined within block.
defined before phi.
defined by phi.
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
indexing operation, 0 <= idx < len failed.
..
No description provided by the author
3-arg slicing operation, 0 <= max <= cap failed.
..
3-arg slicing operation, 0 <= max <= len failed.
..
3-arg slicing operation, 0 <= high <= max failed.
..
3-arg slicing operation, 0 <= low <= high failed.
..
2-arg slicing operation, 0 <= high <= cap failed.
..
2-arg slicing operation, 0 <= high <= len failed.
..
2-arg slicing operation, 0 <= low <= high failed.
..
No description provided by the author
No description provided by the author
No description provided by the author
local stack variable.
argument.
return value.
MaxStruct is the maximum number of fields a struct can have and still be SSAable.
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
towards bottom of block.
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
towards top of block.
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author
No description provided by the author

# Variables

No description provided by the author
No description provided by the author
No description provided by the author
name of function to dump after initial build of ssa.
No description provided by the author
No description provided by the author
Debug output.
No description provided by the author

# Structs

Block represents a basic block in the control flow graph of a function.
No description provided by the author
A Cache holds reusable compiler state.
A Config holds readonly compilation information.
Edge represents a CFG edge.
A Func represents a Go func declaration (or function literal) and its body.
A FuncDebug contains all the debug information for the variables in a function.
FuncLines contains source code for a function to be displayed in sources column.
No description provided by the author
A LocalSlot is a location in the stack frame, which identifies and stores part or all of a PPARAM, PPARAMOUT, or PAUTO ONAME node.
RBTint32 is a red-black tree with data stored at internal nodes, following Tarjan, Data Structures and Network Algorithms, pp 48-52, using explicit rank instead of red and black.
A Register is a machine register, like AX.
A SparseTreeHelper contains indexing and allocation data structures common to a collection of SparseTreeMaps, as well as exposing some useful control-flow-related data to other packages, such as gc.
No description provided by the author
No description provided by the author
No description provided by the author
A Value represents a value in the SSA representation of the program.
A VarLoc describes the storage for part of a user variable.
A ZeroRegion records parts of an object which are known to be zero.

# Interfaces

No description provided by the author
interface used to hold a *gc.Node (a stack variable).
A place that an ssa variable can reside.
No description provided by the author

# Type aliases

kind controls successors ------------------------------------------ Exit [return mem] [] Plain [] [next] If [boolean Value] [then, else] Defer [mem] [nopanic, panic] (control opcode should be OpStaticCall to runtime.deferproc).
No description provided by the author
No description provided by the author
ByTopo sorts topologically: target function is on top, followed by inlined functions sorted by filename and line numbers.
No description provided by the author
No description provided by the author
An Op encodes the specific operation that a Value performs.
RegisterSet is a bitmap of registers, indexed by Register.num.
No description provided by the author
A SparseTree is a tree of Blocks.
A SparseTreeMap encodes a subset of nodes within a tree used for sparse-ancestor queries.
StackOffset encodes whether a value is on the stack and if so, where.
No description provided by the author
A SymEffect describes the effect that an SSA Value has on the variable identified by the symbol in its Aux field.
A ValAndOff is used by the several opcodes.
No description provided by the author