Index: include/llvm/ProfileData/Coverage/CoverageMapping.h
===================================================================
--- include/llvm/ProfileData/Coverage/CoverageMapping.h
+++ include/llvm/ProfileData/Coverage/CoverageMapping.h
@@ -506,7 +506,7 @@
 /// This is the main interface to get coverage information, using a profile to
 /// fill out execution counts.
 class CoverageMapping {
-  StringSet<> FunctionNames;
+  StringMap<StringSet<>> FunctionAndFileNames;
   std::vector<FunctionRecord> Functions;
   std::vector<std::pair<std::string, uint64_t>> FuncHashMismatches;
   std::vector<std::pair<std::string, uint64_t>> FuncCounterMismatches;
Index: lib/ProfileData/Coverage/CoverageMapping.cpp
===================================================================
--- lib/ProfileData/Coverage/CoverageMapping.cpp
+++ lib/ProfileData/Coverage/CoverageMapping.cpp
@@ -207,9 +207,21 @@
   else
     OrigFuncName = getFuncNameWithoutPrefix(OrigFuncName, Record.Filenames[0]);
 
-  // Don't load records for functions we've already seen.
-  if (!FunctionNames.insert(OrigFuncName).second)
-    return Error::success();
+  // Don't load records for (filename, functions) pairs we've already seen.
+  if (Record.Filenames.empty()) {
+    if (!FunctionAndFileNames[""].insert(OrigFuncName).second) {
+      return Error::success();
+    }
+  } else {
+    bool AlreadyLoaded = true;
+    for (const auto &Filename : Record.Filenames) {
+      if (FunctionAndFileNames[Filename].insert(OrigFuncName).second) {
+        AlreadyLoaded = false;
+      }
+    }
+    if (AlreadyLoaded)
+      return Error::success();
+  }
 
   CounterMappingContext Ctx(Record.Expressions);
 
Index: test/tools/llvm-cov/multiple-objects.test
===================================================================
--- test/tools/llvm-cov/multiple-objects.test
+++ test/tools/llvm-cov/multiple-objects.test
@@ -6,6 +6,11 @@
 REPORT-NEXT: ---
 REPORT-NEXT: header.h{{ +}}25{{ +}}14{{ +}}44.00%
 
+# Make sure that both use_1.cc and use_2.cc have coverage reported.
+# Before https://reviews.llvm.org/D46478, only one of them used to be reported.
+REPORT-NEXT: use_1.cc{{ +}}1{{ +}}0{{ +}}100.00%
+REPORT-NEXT: use_2.cc{{ +}}2{{ +}}0{{ +}}100.00%
+
 Instructions for regenerating the test:
 
 clang -std=c++11 -mllvm -enable-name-compression=false -fprofile-instr-generate -fcoverage-mapping use_1.cc -o use_1
Index: unittests/ProfileData/CoverageMappingTest.cpp
===================================================================
--- unittests/ProfileData/CoverageMappingTest.cpp
+++ unittests/ProfileData/CoverageMappingTest.cpp
@@ -859,17 +859,38 @@
 TEST_P(CoverageMappingTest, skip_duplicate_function_record) {
   ProfileWriter.addRecord({"func", 0x1234, {1}}, Err);
 
+  // This record should be loaded.
   startFunction("func", 0x1234);
   addCMR(Counter::getCounter(0), "file1", 1, 1, 9, 9);
+  addCMR(Counter::getCounter(0), "file3", 1, 1, 9, 9);
 
+  // This record should be skipped.
   startFunction("func", 0x1234);
   addCMR(Counter::getCounter(0), "file1", 1, 1, 9, 9);
 
+  // This record should be loaded.
+  startFunction("func", 0x1234);
+  addCMR(Counter::getCounter(0), "file2", 1, 1, 9, 9);
+  addCMR(Counter::getCounter(0), "file3", 1, 1, 9, 9);
+
+  // This record should be loaded.
+  startFunction("func", 0x1234);
+  addCMR(Counter::getCounter(0), "file3", 1, 1, 9, 9);
+  addCMR(Counter::getCounter(0), "file4", 1, 1, 9, 9);
+
+  // This record should be skipped.
+  startFunction("func", 0x1234);
+  addCMR(Counter::getCounter(0), "file4", 1, 1, 9, 9);
+  addCMR(Counter::getCounter(0), "file1", 1, 1, 9, 9);
+
   EXPECT_THAT_ERROR(loadCoverageMapping(), Succeeded());
 
   auto Funcs = LoadedCoverage->getCoveredFunctions();
   unsigned NumFuncs = std::distance(Funcs.begin(), Funcs.end());
-  ASSERT_EQ(1U, NumFuncs);
+  ASSERT_EQ(3U, NumFuncs);
+
+  for (const auto &Func : Funcs)
+    ASSERT_EQ(2U, std::distance(Func.Filenames.begin(), Func.Filenames.end()));
 }
 
 // FIXME: Use ::testing::Combine() when llvm updates its copy of googletest.