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1 //===-- KnownBits.cpp - Stores known zeros/ones ---------------------------===//
2 //
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6 //
7 //===----------------------------------------------------------------------===//
8 //
9 // This file contains a class for representing known zeros and ones used by
10 // computeKnownBits.
11 //
12 //===----------------------------------------------------------------------===//
13
14 #include "llvm/Support/KnownBits.h"
15
16 using namespace llvm;
17
18 static KnownBits computeForAddCarry(
19     const KnownBits &LHS, const KnownBits &RHS,
20     bool CarryZero, bool CarryOne) {
21   assert(!(CarryZero && CarryOne) &&
22          "Carry can't be zero and one at the same time");
23
24   APInt PossibleSumZero = ~LHS.Zero + ~RHS.Zero + !CarryZero;
25   APInt PossibleSumOne = LHS.One + RHS.One + CarryOne;
26
27   // Compute known bits of the carry.
28   APInt CarryKnownZero = ~(PossibleSumZero ^ LHS.Zero ^ RHS.Zero);
29   APInt CarryKnownOne = PossibleSumOne ^ LHS.One ^ RHS.One;
30
31   // Compute set of known bits (where all three relevant bits are known).
32   APInt LHSKnownUnion = LHS.Zero | LHS.One;
33   APInt RHSKnownUnion = RHS.Zero | RHS.One;
34   APInt CarryKnownUnion = std::move(CarryKnownZero) | CarryKnownOne;
35   APInt Known = std::move(LHSKnownUnion) & RHSKnownUnion & CarryKnownUnion;
36
37   assert((PossibleSumZero & Known) == (PossibleSumOne & Known) &&
38          "known bits of sum differ");
39
40   // Compute known bits of the result.
41   KnownBits KnownOut;
42   KnownOut.Zero = ~std::move(PossibleSumZero) & Known;
43   KnownOut.One = std::move(PossibleSumOne) & Known;
44   return KnownOut;
45 }
46
47 KnownBits KnownBits::computeForAddCarry(
48     const KnownBits &LHS, const KnownBits &RHS, const KnownBits &Carry) {
49   assert(Carry.getBitWidth() == 1 && "Carry must be 1-bit");
50   return ::computeForAddCarry(
51       LHS, RHS, Carry.Zero.getBoolValue(), Carry.One.getBoolValue());
52 }
53
54 KnownBits KnownBits::computeForAddSub(bool Add, bool NSW,
55                                       const KnownBits &LHS, KnownBits RHS) {
56   KnownBits KnownOut;
57   if (Add) {
58     // Sum = LHS + RHS + 0
59     KnownOut = ::computeForAddCarry(
60         LHS, RHS, /*CarryZero*/true, /*CarryOne*/false);
61   } else {
62     // Sum = LHS + ~RHS + 1
63     std::swap(RHS.Zero, RHS.One);
64     KnownOut = ::computeForAddCarry(
65         LHS, RHS, /*CarryZero*/false, /*CarryOne*/true);
66   }
67
68   // Are we still trying to solve for the sign bit?
69   if (!KnownOut.isNegative() && !KnownOut.isNonNegative()) {
70     if (NSW) {
71       // Adding two non-negative numbers, or subtracting a negative number from
72       // a non-negative one, can't wrap into negative.
73       if (LHS.isNonNegative() && RHS.isNonNegative())
74         KnownOut.makeNonNegative();
75       // Adding two negative numbers, or subtracting a non-negative number from
76       // a negative one, can't wrap into non-negative.
77       else if (LHS.isNegative() && RHS.isNegative())
78         KnownOut.makeNegative();
79     }
80   }
81
82   return KnownOut;
83 }