Remove HIP/ROCM includes ("-isystem /usr/include"), as they break inclusion of <math.h>.
Add inclusion of Clang resource dir (e.g. /usr/lib/clang/17), as it is used in hip runtime like that.
Remove hardcoded target to fix HIP on musl.

Issues:
* https://github.com/ROCm/clr/issues/82
* https://github.com/ROCm/llvm-project/issues/92
--- a/src/comgr-compiler.cpp
+++ b/src/comgr-compiler.cpp
@@ -1028,9 +1028,8 @@ AMDGPUCompiler::addTargetIdentifierFlags(llvm::StringRef IdentStr,
 }
 
 amd_comgr_status_t AMDGPUCompiler::addCompilationFlags() {
-  HIPIncludePath = (Twine(env::getHIPPath()) + "/include").str();
-  // HIP headers depend on hsa.h which is in ROCM_DIR/include.
-  ROCMIncludePath = (Twine(env::getROCMPath()) + "/include").str();
+  // Allow to include <include/cuda_wrappers/algorithm> (used in some hip files)
+  ClangIncludePath = @CLANG_RESOURCE_DIR@;
 
   Args.push_back("-x");
 
@@ -1051,13 +1050,9 @@ amd_comgr_status_t AMDGPUCompiler::addCompilationFlags() {
   case AMD_COMGR_LANGUAGE_HIP:
     Args.push_back("hip");
     Args.push_back("-std=c++11");
-    Args.push_back("-target");
-    Args.push_back("x86_64-unknown-linux-gnu");
     Args.push_back("--cuda-device-only");
     Args.push_back("-isystem");
-    Args.push_back(ROCMIncludePath.c_str());
-    Args.push_back("-isystem");
-    Args.push_back(HIPIncludePath.c_str());
+    Args.push_back(ClangIncludePath.c_str());
     break;
   default:
     return AMD_COMGR_STATUS_ERROR_INVALID_ARGUMENT;
--- a/src/comgr-compiler.h
+++ b/src/comgr-compiler.h
@@ -95,12 +95,7 @@ class AMDGPUCompiler {
   /// User supplied target GPU Arch.
   std::string GPUArch;
   std::string OffloadArch;
-  /// ROCM include Path
-  std::string ROCMIncludePath;
-  /// HIP and Clang Include Paths
-  std::string HIPIncludePath;
   std::string ClangIncludePath;
-  std::string ClangIncludePath2;
   /// Perform out-of-process compilation.
   bool CompileOOP = false;
   /// Precompiled header file paths.