1 //===-- KnownBits.cpp - Stores known zeros/ones ---------------------------===//
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
7 //===----------------------------------------------------------------------===//
9 // This file contains a class for representing known zeros and ones used by
12 //===----------------------------------------------------------------------===//
14 #include "llvm/Support/KnownBits.h"
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");
24 APInt PossibleSumZero
= ~LHS
.Zero
+ ~RHS
.Zero
+ !CarryZero
;
25 APInt PossibleSumOne
= LHS
.One
+ RHS
.One
+ CarryOne
;
27 // Compute known bits of the carry.
28 APInt CarryKnownZero
= ~(PossibleSumZero
^ LHS
.Zero
^ RHS
.Zero
);
29 APInt CarryKnownOne
= PossibleSumOne
^ LHS
.One
^ RHS
.One
;
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
;
37 assert((PossibleSumZero
& Known
) == (PossibleSumOne
& Known
) &&
38 "known bits of sum differ");
40 // Compute known bits of the result.
42 KnownOut
.Zero
= ~std::move(PossibleSumZero
) & Known
;
43 KnownOut
.One
= std::move(PossibleSumOne
) & Known
;
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());
54 KnownBits
KnownBits::computeForAddSub(bool Add
, bool NSW
,
55 const KnownBits
&LHS
, KnownBits RHS
) {
58 // Sum = LHS + RHS + 0
59 KnownOut
= ::computeForAddCarry(
60 LHS
, RHS
, /*CarryZero*/true, /*CarryOne*/false);
62 // Sum = LHS + ~RHS + 1
63 std::swap(RHS
.Zero
, RHS
.One
);
64 KnownOut
= ::computeForAddCarry(
65 LHS
, RHS
, /*CarryZero*/false, /*CarryOne*/true);
68 // Are we still trying to solve for the sign bit?
69 if (!KnownOut
.isNegative() && !KnownOut
.isNonNegative()) {
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();