diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 7c3c8ba..4c2d0cc 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -165,6 +165,8 @@
     : ${ARMC6_BIN_DIR:=/usr/bin}
     : ${ARM_NONE_EABI_GCC_PREFIX:=arm-none-eabi-}
     : ${ARM_LINUX_GNUEABI_GCC_PREFIX:=arm-linux-gnueabi-}
+    : ${ARM_LINUX_GNUEABIHF_GCC_PREFIX:=arm-linux-gnueabihf-}
+    : ${AARCH64_LINUX_GNU_GCC_PREFIX:=aarch64-linux-gnu-}
     : ${CLANG_LATEST:="clang-latest"}
     : ${CLANG_EARLIEST:="clang-earliest"}
     : ${GCC_LATEST:="gcc-latest"}
@@ -254,6 +256,12 @@
      --arm-linux-gnueabi-gcc-prefix=<string>
                         Prefix for a cross-compiler for arm-linux-gnueabi
                         (default: "${ARM_LINUX_GNUEABI_GCC_PREFIX}")
+     --arm-linux-gnueabihf-gcc-prefix=<string>
+                        Prefix for a cross-compiler for arm-linux-gnueabihf
+                        (default: "${ARM_LINUX_GNUEABIHF_GCC_PREFIX}")
+     --aarch64-linux-gnu-gcc-prefix=<string>
+                        Prefix for a cross-compiler for aarch64-linux-gnu
+                        (default: "${AARCH64_LINUX_GNU_GCC_PREFIX}")
      --armcc            Run ARM Compiler builds (on by default).
      --restore          First clean up the build tree, restoring backed up
                         files. Do not run any components unless they are
@@ -421,6 +429,8 @@
             --append-outcome) append_outcome=1;;
             --arm-none-eabi-gcc-prefix) shift; ARM_NONE_EABI_GCC_PREFIX="$1";;
             --arm-linux-gnueabi-gcc-prefix) shift; ARM_LINUX_GNUEABI_GCC_PREFIX="$1";;
+            --arm-linux-gnueabihf-gcc-prefix) shift; ARM_LINUX_GNUEABIHF_GCC_PREFIX="$1";;
+            --aarch64-linux-gnu-gcc-prefix) shift; AARCH64_LINUX_GNU_GCC_PREFIX="$1";;
             --armcc) no_armcc=;;
             --armc6-bin-dir) shift; ARMC6_BIN_DIR="$1";;
             --clang-earliest) shift; CLANG_EARLIEST="$1";;
@@ -787,6 +797,66 @@
     "$@" scripts/output_env.sh
 }
 
+gcc_version() {
+    gcc="$1"
+    if command -v "$gcc" > /dev/null ; then
+        "$gcc" --version | sed -En '1s/^[^ ]* \([^)]*\) ([0-9]+).*/\1/p'
+    else
+        echo 0  # report version 0 for "no gcc"
+    fi
+}
+
+can_run_cc_output() {
+    cc="$1"
+    result=false
+    if type "$cc" >/dev/null 2>&1; then
+        testbin=$(mktemp)
+        if echo 'int main(void){return 0;}' | "$cc" -o "$testbin" -x c -; then
+            if "$testbin" 2>/dev/null; then
+                result=true
+            fi
+        fi
+        rm -f "$testbin"
+    fi
+    $result
+}
+
+can_run_arm_linux_gnueabi=
+can_run_arm_linux_gnueabi () {
+    if [ -z "$can_run_arm_linux_gnueabi" ]; then
+        if can_run_cc_output "${ARM_LINUX_GNUEABI_GCC_PREFIX}gcc"; then
+            can_run_arm_linux_gnueabi=true
+        else
+            can_run_arm_linux_gnueabi=false
+        fi
+    fi
+    $can_run_arm_linux_gnueabi
+}
+
+can_run_arm_linux_gnueabihf=
+can_run_arm_linux_gnueabihf () {
+    if [ -z "$can_run_arm_linux_gnueabihf" ]; then
+        if can_run_cc_output "${ARM_LINUX_GNUEABIHF_GCC_PREFIX}gcc"; then
+            can_run_arm_linux_gnueabihf=true
+        else
+            can_run_arm_linux_gnueabihf=false
+        fi
+    fi
+    $can_run_arm_linux_gnueabihf
+}
+
+can_run_aarch64_linux_gnu=
+can_run_aarch64_linux_gnu () {
+    if [ -z "$can_run_aarch64_linux_gnu" ]; then
+        if can_run_cc_output "${AARCH64_LINUX_GNU_GCC_PREFIX}gcc"; then
+            can_run_aarch64_linux_gnu=true
+        else
+            can_run_aarch64_linux_gnu=false
+        fi
+    fi
+    $can_run_aarch64_linux_gnu
+}
+
 
 
 ################################################################
@@ -3220,6 +3290,118 @@
     make test
 }
 
+component_test_arm_linux_gnueabi_gcc_arm5vte () {
+    # Mimic Debian armel port
+    msg "test: ${ARM_LINUX_GNUEABI_GCC_PREFIX}gcc -march=arm5vte, default config" # ~4m
+    make CC="${ARM_LINUX_GNUEABI_GCC_PREFIX}gcc" AR="${ARM_LINUX_GNUEABI_GCC_PREFIX}ar" CFLAGS='-Werror -Wall -Wextra -march=armv5te -O1'
+
+    msg "test: main suites make, default config (out-of-box)" # ~7m 40s
+    make test
+
+    msg "selftest: make, default config (out-of-box)" # ~0s
+    programs/test/selftest
+
+    msg "program demos: make, default config (out-of-box)" # ~0s
+    tests/scripts/run_demos.py
+}
+
+support_test_arm_linux_gnueabi_gcc_arm5vte () {
+    can_run_arm_linux_gnueabi
+}
+
+# The hard float ABI is not implemented for Thumb 1, so use gnueabi
+# Some Thumb 1 asm is sensitive to optimisation level, so test both -O0 and -Os
+component_test_arm_linux_gnueabi_gcc_thumb_1_opt_0 () {
+    msg "test: ${ARM_LINUX_GNUEABI_GCC_PREFIX}gcc -O0, thumb 1, default config" # ~2m 10s
+    make CC="${ARM_LINUX_GNUEABI_GCC_PREFIX}gcc" CFLAGS='-std=c99 -Werror -Wextra -O0 -mcpu=arm1136j-s -mthumb'
+
+    msg "test: main suites make, default config (out-of-box)" # ~36m
+    make test
+
+    msg "selftest: make, default config (out-of-box)" # ~10s
+    programs/test/selftest
+
+    msg "program demos: make, default config (out-of-box)" # ~0s
+    tests/scripts/run_demos.py
+}
+
+support_test_arm_linux_gnueabi_gcc_thumb_1_opt_0 () {
+    can_run_arm_linux_gnueabi
+}
+
+component_test_arm_linux_gnueabi_gcc_thumb_1_opt_s () {
+    msg "test: ${ARM_LINUX_GNUEABI_GCC_PREFIX}gcc -Os, thumb 1, default config" # ~3m 10s
+    make CC="${ARM_LINUX_GNUEABI_GCC_PREFIX}gcc" CFLAGS='-std=c99 -Werror -Wextra -Os -mcpu=arm1136j-s -mthumb'
+
+    msg "test: main suites make, default config (out-of-box)" # ~21m 10s
+    make test
+
+    msg "selftest: make, default config (out-of-box)" # ~2s
+    programs/test/selftest
+
+    msg "program demos: make, default config (out-of-box)" # ~0s
+    tests/scripts/run_demos.py
+}
+
+support_test_arm_linux_gnueabi_gcc_thumb_1_opt_s () {
+    can_run_arm_linux_gnueabi
+}
+
+component_test_arm_linux_gnueabihf_gcc_armv7 () {
+    msg "test: ${ARM_LINUX_GNUEABIHF_GCC_PREFIX}gcc -O2, A32, default config" # ~4m 30s
+    make CC="${ARM_LINUX_GNUEABIHF_GCC_PREFIX}gcc" CFLAGS='-std=c99 -Werror -Wextra -O2 -march=armv7-a -marm'
+
+    msg "test: main suites make, default config (out-of-box)" # ~3m 30s
+    make test
+
+    msg "selftest: make, default config (out-of-box)" # ~0s
+    programs/test/selftest
+
+    msg "program demos: make, default config (out-of-box)" # ~0s
+    tests/scripts/run_demos.py
+}
+
+support_test_arm_linux_gnueabihf_gcc_armv7 () {
+    can_run_arm_linux_gnueabihf
+}
+
+component_test_arm_linux_gnueabihf_gcc_thumb_2 () {
+    msg "test: ${ARM_LINUX_GNUEABIHF_GCC_PREFIX}gcc -Os, thumb 2, default config" # ~4m
+    make CC="${ARM_LINUX_GNUEABIHF_GCC_PREFIX}gcc" CFLAGS='-std=c99 -Werror -Wextra -Os -march=armv7-a -mthumb'
+
+    msg "test: main suites make, default config (out-of-box)" # ~3m 40s
+    make test
+
+    msg "selftest: make, default config (out-of-box)" # ~0s
+    programs/test/selftest
+
+    msg "program demos: make, default config (out-of-box)" # ~0s
+    tests/scripts/run_demos.py
+}
+
+support_test_arm_linux_gnueabihf_gcc_thumb_2 () {
+    can_run_arm_linux_gnueabihf
+}
+
+component_test_aarch64_linux_gnu_gcc () {
+    msg "test: ${AARCH64_LINUX_GNU_GCC_PREFIX}gcc -O2, default config" # ~3m 50s
+    make CC="${AARCH64_LINUX_GNU_GCC_PREFIX}gcc" CFLAGS='-std=c99 -Werror -Wextra -O2'
+
+    msg "test: main suites make, default config (out-of-box)" # ~1m 50s
+    make test
+
+    msg "selftest: make, default config (out-of-box)" # ~0s
+    programs/test/selftest
+
+    msg "program demos: make, default config (out-of-box)" # ~0s
+    tests/scripts/run_demos.py
+}
+
+support_test_aarch64_linux_gnu_gcc () {
+    # Minimum version of GCC for MBEDTLS_AESCE_C is 6.0
+    [ "$(gcc_version "${AARCH64_LINUX_GNU_GCC_PREFIX}gcc")" -ge 6 ] && can_run_aarch64_linux_gnu
+}
+
 component_build_arm_none_eabi_gcc () {
     msg "build: ${ARM_NONE_EABI_GCC_PREFIX}gcc -O1, baremetal+debug" # ~ 10s
     scripts/config.py baremetal
diff --git a/tests/suites/test_suite_psa_crypto_memory.function b/tests/suites/test_suite_psa_crypto_memory.function
index 55c0092..50539e8 100644
--- a/tests/suites/test_suite_psa_crypto_memory.function
+++ b/tests/suites/test_suite_psa_crypto_memory.function
@@ -107,7 +107,10 @@
 
 exit:
     mbedtls_free(local_input.buffer);
-    mbedtls_free(input);
+
+    if (local_input.buffer != input) {
+        mbedtls_free(input);
+    }
 }
 /* END_CASE */
 
@@ -243,7 +246,7 @@
     TEST_CALLOC(buffer_copy_for_comparison, local_output.length);
     memcpy(buffer_copy_for_comparison, local_output.buffer, local_output.length);
 
-    psa_crypto_local_output_free(&local_output);
+    TEST_EQUAL(psa_crypto_local_output_free(&local_output), PSA_SUCCESS);
     TEST_ASSERT(local_output.buffer == NULL);
     TEST_EQUAL(local_output.length, 0);
 
diff --git a/tests/suites/test_suite_x509write.function b/tests/suites/test_suite_x509write.function
index 3bff943..61b317c 100644
--- a/tests/suites/test_suite_x509write.function
+++ b/tests/suites/test_suite_x509write.function
@@ -207,25 +207,27 @@
                            int cert_type)
 {
     mbedtls_pk_context key;
+    mbedtls_pk_init(&key);
+
     mbedtls_svc_key_id_t key_id = MBEDTLS_SVC_KEY_ID_INIT;
     psa_algorithm_t md_alg_psa;
+
     mbedtls_x509write_csr req;
+    mbedtls_x509write_csr_init(&req);
+
     unsigned char buf[4096];
     int ret;
     size_t pem_len = 0;
     const char *subject_name = "C=NL,O=PolarSSL,CN=PolarSSL Server 1";
     mbedtls_test_rnd_pseudo_info rnd_info;
-
     memset(&rnd_info, 0x2a, sizeof(mbedtls_test_rnd_pseudo_info));
 
-    mbedtls_x509write_csr_init(&req);
 
     USE_PSA_INIT();
 
     md_alg_psa = mbedtls_psa_translate_md((mbedtls_md_type_t) md_type);
     TEST_ASSERT(md_alg_psa != MBEDTLS_MD_NONE);
 
-    mbedtls_pk_init(&key);
     TEST_ASSERT(mbedtls_pk_parse_keyfile(&key, key_file, NULL) == 0);
     TEST_ASSERT(mbedtls_pk_wrap_as_opaque(&key, &key_id, md_alg_psa) == 0);