diff --git a/programs/.gitignore b/programs/.gitignore
index 83521a7..d8eb6ba 100644
--- a/programs/.gitignore
+++ b/programs/.gitignore
@@ -56,6 +56,7 @@
 ssl/ssl_server2
 test/benchmark
 test/cpp_dummy_build
+test/cpp_dummy_build.cpp
 test/ecp-bench
 test/query_compile_time_config
 test/selftest
diff --git a/programs/Makefile b/programs/Makefile
index 997c198..977ae7e 100644
--- a/programs/Makefile
+++ b/programs/Makefile
@@ -331,6 +331,10 @@
 	echo "  CC    test/benchmark.c"
 	$(CC) $(LOCAL_CFLAGS) $(CFLAGS) test/benchmark.c   $(LOCAL_LDFLAGS) $(LDFLAGS) -o $@
 
+test/cpp_dummy_build.cpp: test/generate_cpp_dummy_build.sh
+	echo "  Gen   test/cpp_dummy_build.cpp"
+	test/generate_cpp_dummy_build.sh
+
 test/cpp_dummy_build$(EXEXT): test/cpp_dummy_build.cpp $(DEP)
 	echo "  CXX   test/cpp_dummy_build.cpp"
 	$(CXX) $(LOCAL_CXXFLAGS) $(CXXFLAGS) test/cpp_dummy_build.cpp   $(LOCAL_LDFLAGS) $(LDFLAGS) -o $@
@@ -391,10 +395,11 @@
 ifndef WINDOWS
 	rm -f $(EXES)
 	-rm -f ssl/ssl_pthread_server$(EXEXT)
-	-rm -f test/cpp_dummy_build$(EXEXT)
+	-rm -f test/cpp_dummy_build.cpp test/cpp_dummy_build$(EXEXT)
 else
 	if exist *.o del /Q /F *.o
 	if exist *.exe del /Q /F *.exe
+	if exist test\cpp_dummy_build.cpp del /Q /F test\cpp_dummy_build.cpp
 endif
 	$(MAKE) -C fuzz clean
 
diff --git a/programs/test/CMakeLists.txt b/programs/test/CMakeLists.txt
index 807d1bc..a0a1b76 100644
--- a/programs/test/CMakeLists.txt
+++ b/programs/test/CMakeLists.txt
@@ -14,7 +14,17 @@
 )
 
 if(TEST_CPP)
-    list(APPEND executables_mbedcrypto cpp_dummy_build)
+    set(cpp_dummy_build_cpp "${CMAKE_CURRENT_BINARY_DIR}/cpp_dummy_build.cpp")
+    set(generate_cpp_dummy_build "${CMAKE_CURRENT_SOURCE_DIR}/generate_cpp_dummy_build.sh")
+    add_custom_command(
+        OUTPUT "${cpp_dummy_build_cpp}"
+        COMMAND "${generate_cpp_dummy_build}" "${cpp_dummy_build_cpp}"
+        DEPENDS "${generate_cpp_dummy_build}"
+        WORKING_DIRECTORY "${CMAKE_CURRENT_SOURCE_DIR}"
+    )
+    add_executable(cpp_dummy_build "${cpp_dummy_build_cpp}")
+    target_include_directories(cpp_dummy_build PRIVATE ${CMAKE_CURRENT_SOURCE_DIR}/../../include)
+    target_link_libraries(cpp_dummy_build ${mbedcrypto_target})
 endif()
 
 foreach(exe IN LISTS executables_libs executables_mbedcrypto)
diff --git a/programs/test/cpp_dummy_build.cpp b/programs/test/cpp_dummy_build.cpp
deleted file mode 100644
index 7f1efe8..0000000
--- a/programs/test/cpp_dummy_build.cpp
+++ /dev/null
@@ -1,98 +0,0 @@
-/*
- *  This program is a dummy C++ program to ensure Mbed TLS library header files
- *  can be included and built with a C++ compiler.
- *
- *  Copyright The Mbed TLS Contributors
- *  SPDX-License-Identifier: Apache-2.0
- *
- *  Licensed under the Apache License, Version 2.0 (the "License"); you may
- *  not use this file except in compliance with the License.
- *  You may obtain a copy of the License at
- *
- *  http://www.apache.org/licenses/LICENSE-2.0
- *
- *  Unless required by applicable law or agreed to in writing, software
- *  distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
- *  WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- *  See the License for the specific language governing permissions and
- *  limitations under the License.
- */
-
-#include "mbedtls/build_info.h"
-
-#include "mbedtls/aes.h"
-#include "mbedtls/aria.h"
-#include "mbedtls/asn1.h"
-#include "mbedtls/asn1write.h"
-#include "mbedtls/base64.h"
-#include "mbedtls/bignum.h"
-#include "mbedtls/camellia.h"
-#include "mbedtls/ccm.h"
-#include "mbedtls/chacha20.h"
-#include "mbedtls/chachapoly.h"
-#include "mbedtls/check_config.h"
-#include "mbedtls/cipher.h"
-#include "mbedtls/cmac.h"
-#include "mbedtls/config_psa.h"
-#include "mbedtls/ctr_drbg.h"
-#include "mbedtls/debug.h"
-#include "mbedtls/des.h"
-#include "mbedtls/dhm.h"
-#include "mbedtls/ecdh.h"
-#include "mbedtls/ecdsa.h"
-#include "mbedtls/ecjpake.h"
-#include "mbedtls/ecp.h"
-#include "mbedtls/entropy.h"
-#include "mbedtls/error.h"
-#include "mbedtls/gcm.h"
-#include "mbedtls/hkdf.h"
-#include "mbedtls/hmac_drbg.h"
-#include "mbedtls/md.h"
-#include "mbedtls/md5.h"
-#include "mbedtls/net_sockets.h"
-#include "mbedtls/nist_kw.h"
-#include "mbedtls/oid.h"
-#include "mbedtls/pem.h"
-#include "mbedtls/pk.h"
-#include "mbedtls/pkcs12.h"
-#include "mbedtls/pkcs5.h"
-#include "mbedtls/platform_time.h"
-#include "mbedtls/platform_util.h"
-#include "mbedtls/poly1305.h"
-#include "mbedtls/psa_util.h"
-#include "mbedtls/ripemd160.h"
-#include "mbedtls/rsa.h"
-#include "mbedtls/sha1.h"
-#include "mbedtls/sha256.h"
-#include "mbedtls/sha512.h"
-#include "mbedtls/ssl.h"
-#include "mbedtls/ssl_cache.h"
-#include "mbedtls/ssl_ciphersuites.h"
-#include "mbedtls/ssl_cookie.h"
-#include "mbedtls/ssl_ticket.h"
-#include "mbedtls/threading.h"
-#include "mbedtls/timing.h"
-#include "mbedtls/version.h"
-#include "mbedtls/x509.h"
-#include "mbedtls/x509_crl.h"
-#include "mbedtls/x509_crt.h"
-#include "mbedtls/x509_csr.h"
-
-#if defined(MBEDTLS_PLATFORM_C)
-#include "mbedtls/platform.h"
-#endif
-
-#if defined(MBEDTLS_MEMORY_BUFFER_ALLOC_C)
-#include "mbedtls/memory_buffer_alloc.h"
-#endif
-
-#include "psa/crypto.h"
-#include "psa/crypto_se_driver.h"
-
-int main()
-{
-    mbedtls_platform_context *ctx = NULL;
-    mbedtls_platform_setup(ctx);
-    mbedtls_printf("CPP Build test\n");
-    mbedtls_platform_teardown(ctx);
-}
diff --git a/programs/test/generate_cpp_dummy_build.sh b/programs/test/generate_cpp_dummy_build.sh
new file mode 100755
index 0000000..41adf14
--- /dev/null
+++ b/programs/test/generate_cpp_dummy_build.sh
@@ -0,0 +1,85 @@
+#!/bin/sh
+
+# Copyright The Mbed TLS Contributors
+# SPDX-License-Identifier: Apache-2.0
+#
+# Licensed under the Apache License, Version 2.0 (the "License"); you may
+# not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
+# WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+set -e
+
+# Ensure a reproducible order for *.h
+export LC_ALL=C
+
+print_cpp () {
+  cat <<'EOF'
+/* Automatically generated file. Do not edit.
+ *
+ *  This program is a dummy C++ program to ensure Mbed TLS library header files
+ *  can be included and built with a C++ compiler.
+ *
+ *  Copyright The Mbed TLS Contributors
+ *  SPDX-License-Identifier: Apache-2.0
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License"); you may
+ *  not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *  http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
+ *  WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+#include "mbedtls/build_info.h"
+
+EOF
+
+  for header in include/mbedtls/*.h include/psa/*.h; do
+    case ${header#include/} in
+      mbedtls/mbedtls_config.h) :;; # not meant for direct inclusion
+      psa/crypto_config.h) :;; # not meant for direct inclusion
+      # Some of the psa/crypto_*.h headers are not meant to be included directly.
+      # They do have include guards that make them no-ops if psa/crypto.h
+      # has been included before. Since psa/crypto.h comes before psa/crypto_*.h
+      # in the wildcard enumeration, we don't need to skip those headers.
+      *) echo "#include \"${header#include/}\"";;
+    esac
+  done
+
+  cat <<'EOF'
+
+int main()
+{
+    mbedtls_platform_context *ctx = NULL;
+    mbedtls_platform_setup(ctx);
+    mbedtls_printf("CPP Build test passed\n");
+    mbedtls_platform_teardown(ctx);
+}
+EOF
+}
+
+if [ -d include/mbedtls ]; then
+  :
+elif [ -d ../include/mbedtls ]; then
+  cd ..
+elif [ -d ../../include/mbedtls ]; then
+  cd ../..
+else
+  echo >&2 "This script must be run from an Mbed TLS source tree."
+  exit 3
+fi
+
+print_cpp >"${1:-programs/test/cpp_dummy_build.cpp}"
diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index c3df05b..8c75c9f 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -368,14 +368,6 @@
     done
 }
 
-check_headers_in_cpp () {
-    ls include/mbedtls | grep "\.h$" >headers.txt
-    <programs/test/cpp_dummy_build.cpp sed -n 's/"$//; s!^#include "mbedtls/!!p' |
-    sort |
-    diff headers.txt -
-    rm headers.txt
-}
-
 pre_parse_command_line () {
     COMMAND_LINE_COMPONENTS=
     all_except=0
@@ -1406,15 +1398,13 @@
     tests/scripts/key-exchanges.pl
 }
 
-component_build_default_make_gcc_and_cxx () {
-    msg "build: Unix make, -Os (gcc)" # ~ 30s
-    make CC=gcc CFLAGS='-Werror -Wall -Wextra -Os'
+component_test_make_cxx () {
+    msg "build: Unix make, full, gcc + g++"
+    scripts/config.py full
+    make TEST_CPP=1 lib programs
 
-    msg "test: verify header list in cpp_dummy_build.cpp"
-    check_headers_in_cpp
-
-    msg "build: Unix make, incremental g++"
-    make TEST_CPP=1
+    msg "test: cpp_dummy_build"
+    programs/test/cpp_dummy_build
 }
 
 component_build_module_alt () {