Index: openmp/CMakeLists.txt
===================================================================
--- openmp/CMakeLists.txt
+++ openmp/CMakeLists.txt
@@ -21,6 +21,19 @@
   # Do not use OPENMP_LIBDIR_SUFFIX directly, use OPENMP_INSTALL_LIBDIR.
   set(OPENMP_INSTALL_LIBDIR "lib${OPENMP_LIBDIR_SUFFIX}")
 
+  # Clang-dedicated subdirectory components.  If Clang is the C++ compiler, ask
+  # it for these.
+  if (CMAKE_CXX_COMPILER_ID STREQUAL "Clang")
+    set(clang_version ${CMAKE_CXX_COMPILER_VERSION})
+    execute_process(COMMAND ${CMAKE_CXX_COMPILER} --print-target-triple
+      OUTPUT_VARIABLE clang_target_triple OUTPUT_STRIP_TRAILING_WHITESPACE
+      ERROR_QUIET)
+  endif()
+  set(OPENMP_CLANG_VERSION ${clang_version} CACHE STRING
+      "The Clang version to assume when installing OpenMP headers/libraries in Clang-dedicated directories from a standalone OpenMP build")
+  set(OPENMP_CLANG_TARGET_TRIPLE ${clang_target_triple} CACHE STRING
+      "The Clang target triple to assume when installing OpenMP headers/libraries in Clang-dedicated directories from a standalone OpenMP build")
+
   # Group test settings.
   set(OPENMP_TEST_C_COMPILER ${CMAKE_C_COMPILER} CACHE STRING
     "C compiler to use for testing OpenMP runtime libraries.")
@@ -32,6 +45,11 @@
   # If building in tree, we honor the same install suffix LLVM uses.
   set(OPENMP_INSTALL_LIBDIR "lib${LLVM_LIBDIR_SUFFIX}")
 
+  # Clang-dedicated subdirectory components.
+  string(REGEX MATCH "[0-9]+\\.[0-9]+(\\.[0-9]+)?" OPENMP_CLANG_VERSION
+    ${PACKAGE_VERSION})
+  set(OPENMP_CLANG_TARGET_TRIPLE ${LLVM_DEFAULT_TARGET_TRIPLE})
+
   if (NOT MSVC)
     set(OPENMP_TEST_C_COMPILER ${LLVM_RUNTIME_OUTPUT_INTDIR}/clang)
     set(OPENMP_TEST_CXX_COMPILER ${LLVM_RUNTIME_OUTPUT_INTDIR}/clang++)
@@ -41,6 +59,13 @@
   endif()
 endif()
 
+# Clang-dedicated subdirectories.
+if (OPENMP_CLANG_VERSION AND OPENMP_CLANG_TARGET_TRIPLE)
+  set(OPENMP_CLANG_LIB_SUBDIR
+    clang/${OPENMP_CLANG_VERSION}/${OPENMP_CLANG_TARGET_TRIPLE}/lib)
+  set(OPENMP_CLANG_INCLUDE_SUBDIR clang/${OPENMP_CLANG_VERSION}/include)
+endif()
+
 # Check and set up common compiler flags.
 include(config-ix)
 include(HandleOpenMPOptions)
Index: openmp/libomptarget/deviceRTLs/nvptx/CMakeLists.txt
===================================================================
--- openmp/libomptarget/deviceRTLs/nvptx/CMakeLists.txt
+++ openmp/libomptarget/deviceRTLs/nvptx/CMakeLists.txt
@@ -86,9 +86,21 @@
 
   cuda_add_library(omptarget-nvptx STATIC ${cuda_src_files} ${omp_data_objects}
       OPTIONS ${CUDA_ARCH} ${CUDA_DEBUG})
+  if(OPENMP_CLANG_LIB_SUBDIR AND NOT OPENMP_STANDALONE_BUILD)
+    add_custom_command(TARGET "omptarget-nvptx" POST_BUILD
+      COMMAND ${CMAKE_COMMAND} -E make_directory
+        $<TARGET_FILE_DIR:omptarget-nvptx>/${OPENMP_CLANG_LIB_SUBDIR}
+      COMMAND ${CMAKE_COMMAND} -E copy $<TARGET_FILE:omptarget-nvptx>
+        $<TARGET_FILE_DIR:omptarget-nvptx>/${OPENMP_CLANG_LIB_SUBDIR}
+    )
+  endif()
 
   # Install device RTL under the lib destination folder.
   install(TARGETS omptarget-nvptx ARCHIVE DESTINATION "${OPENMP_INSTALL_LIBDIR}")
+  if(OPENMP_CLANG_LIB_SUBDIR)
+    install(TARGETS omptarget-nvptx ARCHIVE DESTINATION
+      "${OPENMP_INSTALL_LIBDIR}/${OPENMP_CLANG_LIB_SUBDIR}")
+  endif()
 
   target_link_libraries(omptarget-nvptx ${CUDA_LIBRARIES})
 
@@ -173,9 +185,22 @@
       add_custom_command(TARGET omptarget-nvptx-${sm}-bc POST_BUILD
                          COMMAND ${CMAKE_COMMAND} -E copy ${CMAKE_CURRENT_BINARY_DIR}/libomptarget-nvptx-sm_${sm}.bc
                          $<TARGET_FILE_DIR:omptarget-nvptx>)
+      if(OPENMP_CLANG_LIB_SUBDIR AND NOT OPENMP_STANDALONE_BUILD)
+        add_custom_command(TARGET omptarget-nvptx-${sm}-bc POST_BUILD
+          COMMAND ${CMAKE_COMMAND} -E make_directory
+            $<TARGET_FILE_DIR:omptarget-nvptx>/${OPENMP_CLANG_LIB_SUBDIR}
+          COMMAND ${CMAKE_COMMAND} -E copy
+            ${CMAKE_CURRENT_BINARY_DIR}/libomptarget-nvptx-sm_${sm}.bc
+            $<TARGET_FILE_DIR:omptarget-nvptx>/${OPENMP_CLANG_LIB_SUBDIR}
+        )
+      endif()
 
       # Install bitcode library under the lib destination folder.
       install(FILES ${CMAKE_CURRENT_BINARY_DIR}/libomptarget-nvptx-sm_${sm}.bc DESTINATION "${OPENMP_INSTALL_LIBDIR}")
+      if(OPENMP_CLANG_LIB_SUBDIR)
+        install(FILES ${CMAKE_CURRENT_BINARY_DIR}/libomptarget-nvptx-sm_${sm}.bc
+          DESTINATION "${OPENMP_INSTALL_LIBDIR}/${OPENMP_CLANG_LIB_SUBDIR}")
+      endif()
     endforeach()
   endif()
 
Index: openmp/libomptarget/plugins/CMakeLists.txt
===================================================================
--- openmp/libomptarget/plugins/CMakeLists.txt
+++ openmp/libomptarget/plugins/CMakeLists.txt
@@ -33,10 +33,25 @@
     
       add_library("omptarget.rtl.${tmachine_libname}" SHARED 
         ${CMAKE_CURRENT_SOURCE_DIR}/../generic-elf-64bit/src/rtl.cpp)
+      if(OPENMP_CLANG_LIB_SUBDIR AND NOT OPENMP_STANDALONE_BUILD)
+        add_custom_command(TARGET "omptarget.rtl.${tmachine_libname}"
+          POST_BUILD
+          COMMAND ${CMAKE_COMMAND} -E make_directory
+            $<TARGET_FILE_DIR:omptarget.rtl.${tmachine_libname}>/${OPENMP_CLANG_LIB_SUBDIR}
+          COMMAND ${CMAKE_COMMAND} -E copy
+            $<TARGET_FILE:omptarget.rtl.${tmachine_libname}>
+            $<TARGET_FILE_DIR:omptarget.rtl.${tmachine_libname}>/${OPENMP_CLANG_LIB_SUBDIR}
+        )
+      endif()
         
       # Install plugin under the lib destination folder.
       install(TARGETS "omptarget.rtl.${tmachine_libname}" 
         LIBRARY DESTINATION "${OPENMP_INSTALL_LIBDIR}")
+      if(OPENMP_CLANG_LIB_SUBDIR)
+        install(TARGETS "omptarget.rtl.${tmachine_libname}"
+          LIBRARY DESTINATION
+          "${OPENMP_INSTALL_LIBDIR}/${OPENMP_CLANG_LIB_SUBDIR}")
+      endif()
         
       target_link_libraries(
         "omptarget.rtl.${tmachine_libname}"
Index: openmp/libomptarget/plugins/cuda/CMakeLists.txt
===================================================================
--- openmp/libomptarget/plugins/cuda/CMakeLists.txt
+++ openmp/libomptarget/plugins/cuda/CMakeLists.txt
@@ -36,9 +36,22 @@
 include_directories(${LIBOMPTARGET_DEP_LIBELF_INCLUDE_DIRS})
 
 add_library(omptarget.rtl.cuda SHARED src/rtl.cpp)
+if(OPENMP_CLANG_LIB_SUBDIR AND NOT OPENMP_STANDALONE_BUILD)
+  add_custom_command(TARGET "omptarget.rtl.cuda"
+    POST_BUILD
+    COMMAND ${CMAKE_COMMAND} -E make_directory
+      $<TARGET_FILE_DIR:omptarget.rtl.cuda>/${OPENMP_CLANG_LIB_SUBDIR}
+    COMMAND ${CMAKE_COMMAND} -E copy $<TARGET_FILE:omptarget.rtl.cuda>
+      $<TARGET_FILE_DIR:omptarget.rtl.cuda>/${OPENMP_CLANG_LIB_SUBDIR}
+  )
+endif()
 
 # Install plugin under the lib destination folder.
 install(TARGETS omptarget.rtl.cuda LIBRARY DESTINATION "${OPENMP_INSTALL_LIBDIR}")
+if(OPENMP_CLANG_LIB_SUBDIR)
+  install(TARGETS "omptarget.rtl.cuda" LIBRARY DESTINATION
+          "${OPENMP_INSTALL_LIBDIR}/${OPENMP_CLANG_LIB_SUBDIR}")
+endif()
 
 target_link_libraries(omptarget.rtl.cuda
   ${LIBOMPTARGET_DEP_CUDA_DRIVER_LIBRARIES}
Index: openmp/libomptarget/src/CMakeLists.txt
===================================================================
--- openmp/libomptarget/src/CMakeLists.txt
+++ openmp/libomptarget/src/CMakeLists.txt
@@ -25,7 +25,19 @@
 target_link_libraries(omptarget
   ${CMAKE_DL_LIBS}
   "-Wl,--version-script=${CMAKE_CURRENT_SOURCE_DIR}/exports")
+if(OPENMP_CLANG_LIB_SUBDIR AND NOT OPENMP_STANDALONE_BUILD)
+  add_custom_command(TARGET omptarget POST_BUILD
+    COMMAND ${CMAKE_COMMAND} -E make_directory
+      $<TARGET_FILE_DIR:omptarget>/${OPENMP_CLANG_LIB_SUBDIR}
+    COMMAND ${CMAKE_COMMAND} -E copy $<TARGET_FILE:omptarget>
+      $<TARGET_FILE_DIR:omptarget>/${OPENMP_CLANG_LIB_SUBDIR}
+  )
+endif()
 
 # Install libomptarget under the lib destination folder.
 install(TARGETS omptarget LIBRARY COMPONENT omptarget
   DESTINATION "${OPENMP_INSTALL_LIBDIR}")
+if(OPENMP_CLANG_LIB_SUBDIR)
+  install(TARGETS omptarget LIBRARY COMPONENT omptarget DESTINATION
+    "${OPENMP_INSTALL_LIBDIR}/${OPENMP_CLANG_LIB_SUBDIR}")
+endif()
Index: openmp/runtime/src/CMakeLists.txt
===================================================================
--- openmp/runtime/src/CMakeLists.txt
+++ openmp/runtime/src/CMakeLists.txt
@@ -147,6 +147,15 @@
   LINKER_LANGUAGE ${LIBOMP_LINKER_LANGUAGE}
 )
 
+if(OPENMP_CLANG_LIB_SUBDIR AND NOT OPENMP_STANDALONE_BUILD)
+  add_custom_command(TARGET omp POST_BUILD
+    COMMAND ${CMAKE_COMMAND} -E make_directory
+      $<TARGET_FILE_DIR:omp>/${OPENMP_CLANG_LIB_SUBDIR}
+    COMMAND ${CMAKE_COMMAND} -E copy $<TARGET_FILE:omp>
+      $<TARGET_FILE_DIR:omp>/${OPENMP_CLANG_LIB_SUBDIR}
+  )
+endif()
+
 # Get the library's location within the build tree for the unit tester
 if(NOT WIN32)
   get_target_property(LIBOMP_LIBRARY_DIR omp LIBRARY_OUTPUT_DIRECTORY)
@@ -281,11 +290,10 @@
 # Install rules
 # We want to install libomp in DESTDIR/CMAKE_INSTALL_PREFIX/lib
 # We want to install headers in DESTDIR/CMAKE_INSTALL_PREFIX/include
-if(${OPENMP_STANDALONE_BUILD})
+if(NOT OPENMP_CLANG_INCLUDE_SUBDIR)
   set(LIBOMP_HEADERS_INSTALL_PATH include)
 else()
-  string(REGEX MATCH "[0-9]+\\.[0-9]+(\\.[0-9]+)?" CLANG_VERSION ${PACKAGE_VERSION})
-  set(LIBOMP_HEADERS_INSTALL_PATH "${OPENMP_INSTALL_LIBDIR}/clang/${CLANG_VERSION}/include")
+  set(LIBOMP_HEADERS_INSTALL_PATH "${OPENMP_INSTALL_LIBDIR}/${OPENMP_CLANG_INCLUDE_SUBDIR}")
 endif()
 if(WIN32)
   install(TARGETS omp RUNTIME DESTINATION bin)
@@ -301,6 +309,9 @@
 else()
 
   install(TARGETS omp ${LIBOMP_INSTALL_KIND} DESTINATION "${OPENMP_INSTALL_LIBDIR}")
+  if(OPENMP_CLANG_LIB_SUBDIR)
+    install(TARGETS omp ${LIBOMP_INSTALL_KIND} DESTINATION "${OPENMP_INSTALL_LIBDIR}/${OPENMP_CLANG_LIB_SUBDIR}")
+  endif()
 
   if(${LIBOMP_INSTALL_ALIASES})
     # Create aliases (symlinks) of the library for backwards compatibility