diff --git a/tests/tcg/aarch64/Makefile.target b/tests/tcg/aarch64/Makefile.target
index df3f8e9..ac07acd 100644
--- a/tests/tcg/aarch64/Makefile.target
+++ b/tests/tcg/aarch64/Makefile.target
@@ -60,6 +60,13 @@
 
 TESTS += sha1-vector
 
+# Vector versions of sha512 (-O3 triggers vectorisation)
+sha512-vector: CFLAGS=-O3
+sha512-vector: sha512.c
+	$(CC) $(CFLAGS) $(EXTRA_CFLAGS) $< -o $@ $(LDFLAGS)
+
+TESTS += sha512-vector
+
 ifneq ($(HAVE_GDB_BIN),)
 GDB_SCRIPT=$(SRC_PATH)/tests/guest-debug/run-test.py
 
diff --git a/tests/tcg/arm/Makefile.target b/tests/tcg/arm/Makefile.target
index 2dc9493..2f81512 100644
--- a/tests/tcg/arm/Makefile.target
+++ b/tests/tcg/arm/Makefile.target
@@ -79,6 +79,14 @@
 	$(call diff-out, sha1-vector, sha1.out)
 
 ARM_TESTS += sha1-vector
+
+# Vector versions of sha512 (-O3 triggers vectorisation)
+sha512-vector: CFLAGS=-O3
+sha512-vector: sha512.c
+	$(CC) $(CFLAGS) $(EXTRA_CFLAGS) $< -o $@ $(LDFLAGS)
+
+ARM_TESTS += sha512-vector
+
 TESTS += $(ARM_TESTS)
 
 # On ARM Linux only supports 4k pages
diff --git a/tests/tcg/i386/Makefile.target b/tests/tcg/i386/Makefile.target
index 38c1037..e1c0310 100644
--- a/tests/tcg/i386/Makefile.target
+++ b/tests/tcg/i386/Makefile.target
@@ -71,3 +71,12 @@
 
 # On i386 and x86_64 Linux only supports 4k pages (large pages are a different hack)
 EXTRA_RUNS+=run-test-mmap-4096
+
+sha512-sse: CFLAGS=-msse4.1 -O3
+sha512-sse: sha512.c
+	$(CC) $(CFLAGS) $(EXTRA_CFLAGS) $< -o $@ $(LDFLAGS)
+
+run-sha512-sse: QEMU_OPTS+=-cpu max
+run-plugin-sha512-sse-with-%: QEMU_OPTS+=-cpu max
+
+TESTS+=sha512-sse
diff --git a/tests/tcg/ppc64/Makefile.target b/tests/tcg/ppc64/Makefile.target
index 9d6dfc1..c949805 100644
--- a/tests/tcg/ppc64/Makefile.target
+++ b/tests/tcg/ppc64/Makefile.target
@@ -13,12 +13,19 @@
 PPC64_TESTS += mtfsf
 
 ifneq ($(DOCKER_IMAGE)$(CROSS_CC_HAS_POWER10),)
-PPC64_TESTS += byte_reverse
+PPC64_TESTS += byte_reverse sha512-vector
 endif
 byte_reverse: CFLAGS += -mcpu=power10
 run-byte_reverse: QEMU_OPTS+=-cpu POWER10
 run-plugin-byte_reverse-with-%: QEMU_OPTS+=-cpu POWER10
 
+sha512-vector: CFLAGS +=-mcpu=power10 -O3
+sha512-vector: sha512.c
+	$(CC) $(CFLAGS) $(EXTRA_CFLAGS) $< -o $@ $(LDFLAGS)
+
+run-sha512-vector: QEMU_OPTS+=-cpu POWER10
+run-plugin-sha512-vector-with-%: QEMU_OPTS+=-cpu POWER10
+
 PPC64_TESTS += signal_save_restore_xer
 
 TESTS += $(PPC64_TESTS)
diff --git a/tests/tcg/ppc64le/Makefile.target b/tests/tcg/ppc64le/Makefile.target
index 480ff08..12d85e9 100644
--- a/tests/tcg/ppc64le/Makefile.target
+++ b/tests/tcg/ppc64le/Makefile.target
@@ -10,12 +10,19 @@
 $(PPC64LE_TESTS): CFLAGS += -mpower8-vector
 
 ifneq ($(DOCKER_IMAGE)$(CROSS_CC_HAS_POWER10),)
-PPC64LE_TESTS += byte_reverse
+PPC64LE_TESTS += byte_reverse sha512-vector
 endif
 byte_reverse: CFLAGS += -mcpu=power10
 run-byte_reverse: QEMU_OPTS+=-cpu POWER10
 run-plugin-byte_reverse-with-%: QEMU_OPTS+=-cpu POWER10
 
+sha512-vector: CFLAGS +=-mcpu=power10 -O3
+sha512-vector: sha512.c
+	$(CC) $(CFLAGS) $(EXTRA_CFLAGS) $< -o $@ $(LDFLAGS)
+
+run-sha512-vector: QEMU_OPTS+=-cpu POWER10
+run-plugin-sha512-vector-with-%: QEMU_OPTS+=-cpu POWER10
+
 PPC64LE_TESTS += mtfsf
 PPC64LE_TESTS += signal_save_restore_xer
 
diff --git a/tests/tcg/s390x/Makefile.target b/tests/tcg/s390x/Makefile.target
index 1a7238b..e53b599 100644
--- a/tests/tcg/s390x/Makefile.target
+++ b/tests/tcg/s390x/Makefile.target
@@ -25,3 +25,12 @@
 
 EXTRA_RUNS += run-gdbstub-signals-s390x
 endif
+
+# MVX versions of sha512
+sha512-mvx: CFLAGS=-march=z13 -mvx -O3
+sha512-mvx: sha512.c
+	$(CC) $(CFLAGS) $(EXTRA_CFLAGS) $< -o $@ $(LDFLAGS)
+
+run-sha512-mvx: QEMU_OPTS+=-cpu max
+
+TESTS+=sha512-mvx
diff --git a/tests/tcg/x86_64/Makefile.target b/tests/tcg/x86_64/Makefile.target
index 4a8a464..17cf168 100644
--- a/tests/tcg/x86_64/Makefile.target
+++ b/tests/tcg/x86_64/Makefile.target
@@ -22,3 +22,10 @@
 
 vsyscall: $(SRC_PATH)/tests/tcg/x86_64/vsyscall.c
 	$(CC) $(CFLAGS) $< -o $@ $(LDFLAGS)
+
+# TCG does not yet support all SSE (SIGILL on pshufb)
+# sha512-sse: CFLAGS=-march=core2 -O3
+# sha512-sse: sha512.c
+# 	$(CC) $(CFLAGS) $(EXTRA_CFLAGS) $< -o $@ $(LDFLAGS)
+
+TESTS+=sha512-sse