diff --git a/llvm/lib/Analysis/ScalarEvolution.cpp b/llvm/lib/Analysis/ScalarEvolution.cpp
--- a/llvm/lib/Analysis/ScalarEvolution.cpp
+++ b/llvm/lib/Analysis/ScalarEvolution.cpp
@@ -3192,9 +3192,20 @@
           for (const SCEV *AddRecOp : AddRec->operands())
             Operands.push_back(getMulExpr(Ops[0], AddRecOp, SCEV::FlagAnyWrap,
                                           Depth + 1));
-
+          // Let M be the minimum representable signed value. AddRec with nsw
+          // multiplied by -1 can have signed overflow if and only if it takes a
+          // value of M: M * (-1) would stay M and (M + 1) * (-1) would be the
+          // maximum signed value. In all other cases signed overflow is
+          // impossible.
+          auto FlagsMask = SCEV::FlagNW;
+          if (hasFlags(AddRec->getNoWrapFlags(), SCEV::FlagNSW)) {
+            auto MinInt =
+                APInt::getSignedMinValue(getTypeSizeInBits(AddRec->getType()));
+            if (getSignedRangeMin(AddRec) != MinInt)
+              FlagsMask = setFlags(FlagsMask, SCEV::FlagNSW);
+          }
           return getAddRecExpr(Operands, AddRec->getLoop(),
-                               AddRec->getNoWrapFlags(SCEV::FlagNW));
+                               AddRec->getNoWrapFlags(FlagsMask));
         }
       }
     }
diff --git a/llvm/test/Analysis/ScalarEvolution/addrec-sub-nsw.ll b/llvm/test/Analysis/ScalarEvolution/addrec-sub-nsw.ll
--- a/llvm/test/Analysis/ScalarEvolution/addrec-sub-nsw.ll
+++ b/llvm/test/Analysis/ScalarEvolution/addrec-sub-nsw.ll
@@ -44,7 +44,7 @@
 ; CHECK-NEXT:    %i = phi i32 [ 0, %entry ], [ %i.next, %loop ]
 ; CHECK-NEXT:    --> {0,+,1}<nuw><nsw><%loop> U: [0,2147483647) S: [0,2147483647) Exits: (-1 + (1 smax %n))<nsw> LoopDispositions: { %loop: Computable }
 ; CHECK-NEXT:    %minus.i = mul i32 %i, -1
-; CHECK-NEXT:    --> {0,+,-1}<nw><%loop> U: [-2147483646,1) S: [-2147483646,1) Exits: (1 + (-1 * (1 smax %n))<nsw>)<nsw> LoopDispositions: { %loop: Computable }
+; CHECK-NEXT:    --> {0,+,-1}<nsw><%loop> U: [-2147483646,1) S: [-2147483646,1) Exits: (1 + (-1 * (1 smax %n))<nsw>)<nsw> LoopDispositions: { %loop: Computable }
 ; CHECK-NEXT:    %a = sub i32 %minus.n, %minus.i
 ; CHECK-NEXT:    --> {(-1 * %n),+,1}<nw><%loop> U: full-set S: full-set Exits: (-1 + (-1 * %n) + (1 smax %n)) LoopDispositions: { %loop: Computable }
 ; CHECK-NEXT:    %i.next = add nuw nsw i32 %i, 1
diff --git a/llvm/test/Analysis/ScalarEvolution/decrementing_addrecs.ll b/llvm/test/Analysis/ScalarEvolution/decrementing_addrecs.ll
--- a/llvm/test/Analysis/ScalarEvolution/decrementing_addrecs.ll
+++ b/llvm/test/Analysis/ScalarEvolution/decrementing_addrecs.ll
@@ -40,7 +40,7 @@
 ; DEFAULT-NEXT:    %b = sub i32 %n.minus.1, %i
 ; DEFAULT-NEXT:    --> {(-1 + %n),+,-1}<nsw><%loop> U: full-set S: full-set Exits: 0 LoopDispositions: { %loop: Computable }
 ; DEFAULT-NEXT:    %c = sub i32 2147483647, %i
-; DEFAULT-NEXT:    --> {2147483647,+,-1}<nw><%loop> U: [1,-2147483648) S: [1,-2147483648) Exits: (-2147483648 + (-1 * %n)) LoopDispositions: { %loop: Computable }
+; DEFAULT-NEXT:    --> {2147483647,+,-1}<nsw><%loop> U: [1,-2147483648) S: [1,-2147483648) Exits: (-2147483648 + (-1 * %n)) LoopDispositions: { %loop: Computable }
 ; DEFAULT-NEXT:    %i.next = add nuw nsw i32 %i, 1
 ; DEFAULT-NEXT:    --> {1,+,1}<nuw><nsw><%loop> U: [1,-2147483648) S: [1,-2147483648) Exits: %n LoopDispositions: { %loop: Computable }
 ; DEFAULT-NEXT:    %j.next = add nsw i32 %j, -1
@@ -66,7 +66,7 @@
 ; EXPENSIVE_SHARPENING-NEXT:    %b = sub i32 %n.minus.1, %i
 ; EXPENSIVE_SHARPENING-NEXT:    --> {(-1 + %n),+,-1}<nsw><%loop> U: [0,2147483647) S: [0,2147483647) Exits: 0 LoopDispositions: { %loop: Computable }
 ; EXPENSIVE_SHARPENING-NEXT:    %c = sub i32 2147483647, %i
-; EXPENSIVE_SHARPENING-NEXT:    --> {2147483647,+,-1}<nw><%loop> U: [1,-2147483648) S: [1,-2147483648) Exits: (-2147483648 + (-1 * %n)) LoopDispositions: { %loop: Computable }
+; EXPENSIVE_SHARPENING-NEXT:    --> {2147483647,+,-1}<nsw><%loop> U: [1,-2147483648) S: [1,-2147483648) Exits: (-2147483648 + (-1 * %n)) LoopDispositions: { %loop: Computable }
 ; EXPENSIVE_SHARPENING-NEXT:    %i.next = add nuw nsw i32 %i, 1
 ; EXPENSIVE_SHARPENING-NEXT:    --> {1,+,1}<nuw><nsw><%loop> U: [1,-2147483648) S: [1,-2147483648) Exits: %n LoopDispositions: { %loop: Computable }
 ; EXPENSIVE_SHARPENING-NEXT:    %j.next = add nsw i32 %j, -1
diff --git a/llvm/test/Analysis/ScalarEvolution/different-loops-recs.ll b/llvm/test/Analysis/ScalarEvolution/different-loops-recs.ll
--- a/llvm/test/Analysis/ScalarEvolution/different-loops-recs.ll
+++ b/llvm/test/Analysis/ScalarEvolution/different-loops-recs.ll
@@ -275,7 +275,7 @@
 ; CHECK:       %tmp9 = sext i8 %tmp8 to i64
 ; CHECK-NEXT:  -->  (sext i8 %tmp8 to i64) U: [-128,128) S: [-128,128)
 ; CHECK:       %tmp10 = sub i64 %tmp9, %tmp7
-; CHECK-NEXT:  -->  ((sext i8 %tmp8 to i64) + {-2,+,-1}<nw><%loop2>) U: [9223372036854775682,126) S: [9223372036854775682,126)
+; CHECK-NEXT:  -->  ((sext i8 %tmp8 to i64) + {-2,+,-1}<nsw><%loop2>) U: [9223372036854775682,126) S: [9223372036854775682,126)
 ; CHECK:       %tmp11 = add i64 %tmp10, undef
 ; CHECK-NEXT:  -->  ((sext i8 %tmp8 to i64) + {(-2 + undef),+,-1}<nw><%loop2>)
 ; CHECK:       %tmp13 = trunc i64 %tmp11 to i32
diff --git a/llvm/test/Analysis/ScalarEvolution/sext-iv-2.ll b/llvm/test/Analysis/ScalarEvolution/sext-iv-2.ll
--- a/llvm/test/Analysis/ScalarEvolution/sext-iv-2.ll
+++ b/llvm/test/Analysis/ScalarEvolution/sext-iv-2.ll
@@ -3,7 +3,7 @@
 ; CHECK: %tmp3 = sext i8 %tmp2 to i32
 ; CHECK: -->  (sext i8 {0,+,1}<%bb1> to i32) U: [-128,128) S: [-128,128)               Exits: -1
 ; CHECK: %tmp4 = mul i32 %tmp3, %i.02
-; CHECK: -->  ((sext i8 {0,+,1}<%bb1> to i32) * {0,+,1}<nuw><nsw><%bb>) U: [-3968,3938) S: [-3968,3938)                Exits: {0,+,-1}<nw><%bb>
+; CHECK: -->  ((sext i8 {0,+,1}<%bb1> to i32) * {0,+,1}<nuw><nsw><%bb>) U: [-3968,3938) S: [-3968,3938)                Exits: {0,+,-1}<nsw><%bb>
 
 ; These sexts are not foldable.