diff --git a/clang/lib/Headers/openmp_wrappers/complex b/clang/lib/Headers/openmp_wrappers/complex
--- a/clang/lib/Headers/openmp_wrappers/complex
+++ b/clang/lib/Headers/openmp_wrappers/complex
@@ -45,7 +45,7 @@
 #ifndef _LIBCPP_STD_VER
 
 #pragma omp begin declare variant match(                                       \
-    device = {arch(nvptx, nvptx64)},                                           \
+    device = {arch(amdgcn, nvptx, nvptx64)},                                   \
     implementation = {extension(match_any, allow_templates)})
 
 #include <complex_cmath.h>
diff --git a/clang/test/Headers/amdgcn-openmp-device-math-complex.cpp b/clang/test/Headers/amdgcn-openmp-device-math-complex.cpp
new file mode 100644
--- /dev/null
+++ b/clang/test/Headers/amdgcn-openmp-device-math-complex.cpp
@@ -0,0 +1,85 @@
+// RUN: %clang_cc1 -verify -internal-isystem %S/Inputs/include -fopenmp -x c++ -triple x86_64-unknown-unknown -fopenmp-targets=amdgcn-amd-amdhsa -emit-llvm-bc %s -o %t-x86-host.bc
+// RUN: %clang_cc1 -verify -internal-isystem %S/../../lib/Headers/openmp_wrappers -include __clang_openmp_device_functions.h -internal-isystem %S/Inputs/include -fopenmp -x c++ -triple amdgcn-amd-amdhsa -fopenmp-targets=amdgcn-amd-amdhsa -emit-llvm %s -fopenmp-is-device -fopenmp-host-ir-file-path %t-x86-host.bc -aux-triple x86_64-unknown-unknown -o - | FileCheck %s
+// expected-no-diagnostics
+
+#include <cmath>
+#include <complex>
+
+// CHECK: define weak {{.*}} @__muldc3
+// CHECK-DAG: call i32 @__ocml_isnan_f64(
+// CHECK-DAG: call i32 @__ocml_isinf_f64(
+
+// CHECK: define weak {{.*}} @__mulsc3
+// CHECK-DAG: call i32 @__ocml_isnan_f32(
+// CHECK-DAG: call i32 @__ocml_isinf_f32(
+// CHECK-DAG: call float @__ocml_copysign_f32(
+
+// CHECK: define weak {{.*}} @__divdc3
+// CHECK-DAG: call i32 @__ocml_isnan_f64(
+// CHECK-DAG: call i32 @__ocml_isinf_f64(
+// CHECK-DAG: call i32 @__ocml_isfinite_f64(
+// CHECK-DAG: call double @__ocml_copysign_f64(
+// CHECK-DAG: call double @__ocml_scalbn_f64(
+// CHECK-DAG: call double @__ocml_fabs_f64(
+// CHECK-DAG: call double @__ocml_logb_f64(
+
+// CHECK: define weak {{.*}} @__divsc3
+// CHECK-DAG: call i32 @__ocml_isnan_f32(
+// CHECK-DAG: call i32 @__ocml_isinf_f32(
+// CHECK-DAG: call i32 @__ocml_isfinite_f32(
+// CHECK-DAG: call float @__ocml_copysign_f32(
+// CHECK-DAG: call float @__ocml_scalbn_f32(
+// CHECK-DAG: call float @__ocml_fabs_f32(
+// CHECK-DAG: call float @__ocml_logb_f32(
+
+// We actually check that there are no declarations of non-OpenMP functions.
+// That is, as long as we don't call an unkown function with a name that
+// doesn't start with '__' we are good :)
+
+// CHECK-NOT: declare.*@[^_]
+
+void test_scmplx(std::complex<float> a) {
+#pragma omp target
+  {
+    (void)(a * (a / a));
+  }
+}
+
+void test_dcmplx(std::complex<double> a) {
+#pragma omp target
+  {
+    (void)(a * (a / a));
+  }
+}
+
+template <typename T>
+std::complex<T> test_template_math_calls(std::complex<T> a) {
+  decltype(a) r = a;
+#pragma omp target
+  {
+    r = std::sin(r);
+    r = std::cos(r);
+    r = std::exp(r);
+    r = std::atan(r);
+    r = std::acos(r);
+  }
+  return r;
+}
+
+std::complex<float> test_scall(std::complex<float> a) {
+  decltype(a) r;
+#pragma omp target
+  {
+    r = std::sin(a);
+  }
+  return test_template_math_calls(r);
+}
+
+std::complex<double> test_dcall(std::complex<double> a) {
+  decltype(a) r;
+#pragma omp target
+  {
+    r = std::exp(a);
+  }
+  return test_template_math_calls(r);
+}