326 lines
12 KiB
C
326 lines
12 KiB
C
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//===- Waymarking.h - Array waymarking algorithm ----------------*- C++ -*-===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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//
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// Utility to backtrace an array's head, from a pointer into it. For the
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// backtrace to work, we use "Waymarks", which are special tags embedded into
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// the array's elements.
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//
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// A Tag of n-bits (in size) is composed as follows:
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//
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// bits: | n-1 | n-2 ... 0 |
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// .---------.------------------------------------.
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// |Stop Mask|(2^(n-1))-ary numeric system - digit|
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// '---------'------------------------------------'
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//
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// Backtracing is done as follows:
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// Walk back (starting from a given pointer to an element into the array), until
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// a tag with a "Stop Mask" is reached. Then start calculating the "Offset" from
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// the array's head, by picking up digits along the way, until another stop is
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// reached. The "Offset" is then subtracted from the current pointer, and the
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// result is the array's head.
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// A special case - if we first encounter a Tag with a Stop and a zero digit,
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// then this is already the head.
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//
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// For example:
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// In case of 2 bits:
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//
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// Tags:
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// x0 - binary digit 0
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// x1 - binary digit 1
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// 1x - stop and calculate (s)
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//
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// Array:
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// .---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.
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// head -> |s0 |s1 | 0 |s1 | 0 | 0 |s1 | 1 | 1 |s1 | 0 | 1 | 0 |s1 | 0 | 1 |
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// '---'---'---'---'---'---'---'---'---'---'---'---'---'---'---'---'
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// |-1 |-2 |-4 |-7 |-10 |-14
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// <_ | | | | | |
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// <_____ | | | | |
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// <_____________ | | | |
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// <_________________________ | | |
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// <_____________________________________ | |
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// <_____________________________________________________ |
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//
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//
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// In case of 3 bits:
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//
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// Tags:
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// x00 - quaternary digit 0
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// x01 - quaternary digit 1
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// x10 - quaternary digit 2
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// x11 - quaternary digit 3
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// 1xy - stop and calculate (s)
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//
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// Array:
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// .---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.
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// head -> |s0 |s1 |s2 |s3 | 0 |s1 | 2 |s1 | 0 |s2 | 2 |s2 | 0 |s3 | 2 |s3 |
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// '---'---'---'---'---'---'---'---'---'---'---'---'---'---'---'---'
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// |-1 |-2 |-3 |-4 |-6 |-8 |-10 |-12 |-14 |-16
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// <_ | | | | | | | | | |
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// <_____ | | | | | | | | |
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// <_________ | | | | | | | |
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// <_____________ | | | | | | |
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// <_____________________ | | | | | |
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// <_____________________________ | | | | |
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// <_____________________________________ | | | |
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// <_____________________________________________ | | |
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// <_____________________________________________________ | |
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// <_____________________________________________________________ |
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//
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//
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// The API introduce 2 functions:
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// 1. fillWaymarks
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// 2. followWaymarks
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//
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// Example:
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// int N = 10;
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// int M = 5;
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// int **A = new int *[N + M]; // Define the array.
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// for (int I = 0; I < N + M; ++I)
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// A[I] = new int(I);
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//
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// fillWaymarks(A, A + N); // Set the waymarks for the first N elements
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// // of the array.
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// // Note that it must be done AFTER we fill
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// // the array's elements.
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//
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// ... // Elements which are not in the range
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// // [A, A+N) will not be marked, and we won't
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// // be able to call followWaymarks on them.
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//
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// ... // Elements which will be changed after the
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// // call to fillWaymarks, will have to be
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// // retagged.
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//
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// fillWaymarks(A + N, A + N + M, N); // Set the waymarks of the remaining M
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// // elements.
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// ...
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// int **It = A + N + 1;
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// int **B = followWaymarks(It); // Find the head of the array containing It.
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// assert(B == A);
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//
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//===----------------------------------------------------------------------===//
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#ifndef LLVM_ADT_WAYMARKING_H
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#define LLVM_ADT_WAYMARKING_H
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#include "llvm/ADT/STLExtras.h"
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#include "llvm/Support/PointerLikeTypeTraits.h"
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namespace llvm {
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namespace detail {
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template <unsigned NumBits> struct WaymarkingTraits {
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enum : unsigned {
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// The number of bits of a Waymarking Tag.
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NUM_BITS = NumBits,
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// A Tag is composed from a Mark and a Stop mask.
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MARK_SIZE = NUM_BITS - 1,
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STOP_MASK = (1 << MARK_SIZE),
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MARK_MASK = (STOP_MASK - 1),
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TAG_MASK = (MARK_MASK | STOP_MASK),
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// The number of pre-computed tags (for fast fill).
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NUM_STATIC_TAGS = 32
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};
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private:
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// Add a new tag, calculated from Count and Stop, to the Vals pack, while
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// continuing recursively to decrease Len down to 0.
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template <unsigned Len, bool Stop, unsigned Count, uint8_t... Vals>
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struct AddTag;
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// Delegate to the specialized AddTag according to the need of a Stop mask.
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template <unsigned Len, unsigned Count, uint8_t... Vals> struct GenTag {
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typedef
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typename AddTag<Len, (Count <= MARK_MASK), Count, Vals...>::Xdata Xdata;
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};
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// Start adding tags while calculating the next Count, which is actually the
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// number of already calculated tags (equivalent to the position in the
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// array).
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template <unsigned Len, uint8_t... Vals> struct GenOffset {
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typedef typename GenTag<Len, sizeof...(Vals), Vals...>::Xdata Xdata;
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};
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// Add the tag and remove it from Count.
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template <unsigned Len, unsigned Count, uint8_t... Vals>
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struct AddTag<Len, false, Count, Vals...> {
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typedef typename GenTag<Len - 1, (Count >> MARK_SIZE), Vals...,
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Count & MARK_MASK>::Xdata Xdata;
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};
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// We have reached the end of this Count, so start with a new Count.
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template <unsigned Len, unsigned Count, uint8_t... Vals>
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struct AddTag<Len, true, Count, Vals...> {
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typedef typename GenOffset<Len - 1, Vals...,
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(Count & MARK_MASK) | STOP_MASK>::Xdata Xdata;
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};
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template <unsigned Count, uint8_t... Vals> struct TagsData {
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// The remaining number for calculating the next tag, following the last one
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// in Values.
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static const unsigned Remain = Count;
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// The array of ordered pre-computed Tags.
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static const uint8_t Values[sizeof...(Vals)];
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};
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// Specialize the case when Len equals 0, as the recursion stop condition.
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template <unsigned Count, uint8_t... Vals>
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struct AddTag<0, false, Count, Vals...> {
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typedef TagsData<Count, Vals...> Xdata;
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};
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template <unsigned Count, uint8_t... Vals>
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struct AddTag<0, true, Count, Vals...> {
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typedef TagsData<Count, Vals...> Xdata;
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};
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public:
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typedef typename GenOffset<NUM_STATIC_TAGS>::Xdata Tags;
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};
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template <unsigned NumBits>
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template <unsigned Count, uint8_t... Vals>
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const uint8_t WaymarkingTraits<NumBits>::TagsData<
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Count, Vals...>::Values[sizeof...(Vals)] = {Vals...};
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} // end namespace detail
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/// This class is responsible for tagging (and retrieving the tag of) a given
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/// element of type T.
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template <class T, class WTraits = detail::WaymarkingTraits<
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PointerLikeTypeTraits<T>::NumLowBitsAvailable>>
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struct Waymarker {
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using Traits = WTraits;
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static void setWaymark(T &N, unsigned Tag) { N.setWaymark(Tag); }
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static unsigned getWaymark(const T &N) { return N.getWaymark(); }
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};
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template <class T, class WTraits> struct Waymarker<T *, WTraits> {
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using Traits = WTraits;
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static void setWaymark(T *&N, unsigned Tag) {
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reinterpret_cast<uintptr_t &>(N) |= static_cast<uintptr_t>(Tag);
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}
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static unsigned getWaymark(const T *N) {
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return static_cast<unsigned>(reinterpret_cast<uintptr_t>(N)) &
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Traits::TAG_MASK;
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}
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};
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/// Sets up the waymarking algorithm's tags for a given range [Begin, End).
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///
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/// \param Begin The beginning of the range to mark with tags (inclusive).
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/// \param End The ending of the range to mark with tags (exclusive).
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/// \param Offset The position in the supposed tags array from which to start
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/// marking the given range.
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template <class TIter, class Marker = Waymarker<
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typename std::iterator_traits<TIter>::value_type>>
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void fillWaymarks(TIter Begin, TIter End, size_t Offset = 0) {
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if (Begin == End)
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return;
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size_t Count = Marker::Traits::Tags::Remain;
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if (Offset <= Marker::Traits::NUM_STATIC_TAGS) {
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// Start by filling the pre-calculated tags, starting from the given offset.
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while (Offset != Marker::Traits::NUM_STATIC_TAGS) {
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Marker::setWaymark(*Begin, Marker::Traits::Tags::Values[Offset]);
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++Offset;
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++Begin;
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if (Begin == End)
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return;
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}
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} else {
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// The given offset is larger than the number of pre-computed tags, so we
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// must do it the hard way.
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// Calculate the next remaining Count, as if we have filled the tags up to
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// the given offset.
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size_t Off = Marker::Traits::NUM_STATIC_TAGS;
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do {
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++Off;
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unsigned Tag = Count & Marker::Traits::MARK_MASK;
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// If the count can fit into the tag, then the counting must stop.
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if (Count <= Marker::Traits::MARK_MASK) {
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Tag |= Marker::Traits::STOP_MASK;
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Count = Off;
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} else
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Count >>= Marker::Traits::MARK_SIZE;
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} while (Off != Offset);
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}
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// By now, we have the matching remaining Count for the current offset.
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do {
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++Offset;
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unsigned Tag = Count & Marker::Traits::MARK_MASK;
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// If the count can fit into the tag, then the counting must stop.
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if (Count <= Marker::Traits::MARK_MASK) {
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Tag |= Marker::Traits::STOP_MASK;
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Count = Offset;
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} else
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Count >>= Marker::Traits::MARK_SIZE;
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Marker::setWaymark(*Begin, Tag);
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++Begin;
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} while (Begin != End);
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}
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/// Sets up the waymarking algorithm's tags for a given range.
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///
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/// \param Range The range to mark with tags.
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/// \param Offset The position in the supposed tags array from which to start
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/// marking the given range.
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template <typename R, class Marker = Waymarker<typename std::remove_reference<
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decltype(*std::begin(std::declval<R &>()))>::type>>
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void fillWaymarks(R &&Range, size_t Offset = 0) {
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return fillWaymarks<decltype(std::begin(std::declval<R &>())), Marker>(
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adl_begin(Range), adl_end(Range), Offset);
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}
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/// Retrieves the element marked with tag of only STOP_MASK, by following the
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/// waymarks. This is the first element in a range passed to a previous call to
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/// \c fillWaymarks with \c Offset 0.
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///
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/// For the trivial usage of calling \c fillWaymarks(Array), and \I is an
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/// iterator inside \c Array, this function retrieves the head of \c Array, by
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/// following the waymarks.
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///
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/// \param I The iterator into an array which was marked by the waymarking tags
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/// (by a previous call to \c fillWaymarks).
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template <class TIter, class Marker = Waymarker<
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typename std::iterator_traits<TIter>::value_type>>
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TIter followWaymarks(TIter I) {
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unsigned Tag;
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do
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Tag = Marker::getWaymark(*I--);
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while (!(Tag & Marker::Traits::STOP_MASK));
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// Special case for the first Use.
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if (Tag != Marker::Traits::STOP_MASK) {
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ptrdiff_t Offset = Tag & Marker::Traits::MARK_MASK;
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while (!((Tag = Marker::getWaymark(*I)) & Marker::Traits::STOP_MASK)) {
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Offset = (Offset << Marker::Traits::MARK_SIZE) + Tag;
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--I;
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}
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I -= Offset;
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}
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return ++I;
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}
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} // end namespace llvm
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#endif // LLVM_ADT_WAYMARKING_H
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