diff --git a/include/tcg/tcg-opc.h b/include/tcg/tcg-opc.h
index 675873e200..dd444734d9 100644
--- a/include/tcg/tcg-opc.h
+++ b/include/tcg/tcg-opc.h
@@ -245,6 +245,9 @@ DEF(or_vec, 1, 2, 0, IMPLVEC)
 DEF(xor_vec, 1, 2, 0, IMPLVEC)
 DEF(andc_vec, 1, 2, 0, IMPLVEC | IMPL(TCG_TARGET_HAS_andc_vec))
 DEF(orc_vec, 1, 2, 0, IMPLVEC | IMPL(TCG_TARGET_HAS_orc_vec))
+DEF(nand_vec, 1, 2, 0, IMPLVEC | IMPL(TCG_TARGET_HAS_nand_vec))
+DEF(nor_vec, 1, 2, 0, IMPLVEC | IMPL(TCG_TARGET_HAS_nor_vec))
+DEF(eqv_vec, 1, 2, 0, IMPLVEC | IMPL(TCG_TARGET_HAS_eqv_vec))
 DEF(not_vec, 1, 1, 0, IMPLVEC | IMPL(TCG_TARGET_HAS_not_vec))
 
 DEF(shli_vec, 1, 1, 1, IMPLVEC | IMPL(TCG_TARGET_HAS_shi_vec))
diff --git a/include/tcg/tcg.h b/include/tcg/tcg.h
index 939041103e..73869fd9d0 100644
--- a/include/tcg/tcg.h
+++ b/include/tcg/tcg.h
@@ -183,6 +183,9 @@ typedef uint64_t TCGRegSet;
 #define TCG_TARGET_HAS_not_vec          0
 #define TCG_TARGET_HAS_andc_vec         0
 #define TCG_TARGET_HAS_orc_vec          0
+#define TCG_TARGET_HAS_nand_vec         0
+#define TCG_TARGET_HAS_nor_vec          0
+#define TCG_TARGET_HAS_eqv_vec          0
 #define TCG_TARGET_HAS_roti_vec         0
 #define TCG_TARGET_HAS_rots_vec         0
 #define TCG_TARGET_HAS_rotv_vec         0
diff --git a/tcg/aarch64/tcg-target.h b/tcg/aarch64/tcg-target.h
index 876af589ce..485f685bd2 100644
--- a/tcg/aarch64/tcg-target.h
+++ b/tcg/aarch64/tcg-target.h
@@ -131,6 +131,9 @@ typedef enum {
 
 #define TCG_TARGET_HAS_andc_vec         1
 #define TCG_TARGET_HAS_orc_vec          1
+#define TCG_TARGET_HAS_nand_vec         0
+#define TCG_TARGET_HAS_nor_vec          0
+#define TCG_TARGET_HAS_eqv_vec          0
 #define TCG_TARGET_HAS_not_vec          1
 #define TCG_TARGET_HAS_neg_vec          1
 #define TCG_TARGET_HAS_abs_vec          1
diff --git a/tcg/arm/tcg-target.h b/tcg/arm/tcg-target.h
index 27c27a1f14..7e96495392 100644
--- a/tcg/arm/tcg-target.h
+++ b/tcg/arm/tcg-target.h
@@ -130,6 +130,9 @@ extern bool use_neon_instructions;
 
 #define TCG_TARGET_HAS_andc_vec         1
 #define TCG_TARGET_HAS_orc_vec          1
+#define TCG_TARGET_HAS_nand_vec         0
+#define TCG_TARGET_HAS_nor_vec          0
+#define TCG_TARGET_HAS_eqv_vec          0
 #define TCG_TARGET_HAS_not_vec          1
 #define TCG_TARGET_HAS_neg_vec          1
 #define TCG_TARGET_HAS_abs_vec          1
diff --git a/tcg/i386/tcg-target.h b/tcg/i386/tcg-target.h
index 3b2c9437a0..ecd0fa6e05 100644
--- a/tcg/i386/tcg-target.h
+++ b/tcg/i386/tcg-target.h
@@ -185,6 +185,9 @@ extern bool have_movbe;
 
 #define TCG_TARGET_HAS_andc_vec         1
 #define TCG_TARGET_HAS_orc_vec          0
+#define TCG_TARGET_HAS_nand_vec         0
+#define TCG_TARGET_HAS_nor_vec          0
+#define TCG_TARGET_HAS_eqv_vec          0
 #define TCG_TARGET_HAS_not_vec          0
 #define TCG_TARGET_HAS_neg_vec          0
 #define TCG_TARGET_HAS_abs_vec          1
diff --git a/tcg/optimize.c b/tcg/optimize.c
index 06213fd434..ae081ab29c 100644
--- a/tcg/optimize.c
+++ b/tcg/optimize.c
@@ -359,13 +359,13 @@ static uint64_t do_constant_folding_2(TCGOpcode op, uint64_t x, uint64_t y)
     CASE_OP_32_64_VEC(orc):
         return x | ~y;
 
-    CASE_OP_32_64(eqv):
+    CASE_OP_32_64_VEC(eqv):
         return ~(x ^ y);
 
-    CASE_OP_32_64(nand):
+    CASE_OP_32_64_VEC(nand):
         return ~(x & y);
 
-    CASE_OP_32_64(nor):
+    CASE_OP_32_64_VEC(nor):
         return ~(x | y);
 
     case INDEX_op_clz_i32:
@@ -2119,7 +2119,7 @@ void tcg_optimize(TCGContext *s)
         case INDEX_op_dup2_vec:
             done = fold_dup2(&ctx, op);
             break;
-        CASE_OP_32_64(eqv):
+        CASE_OP_32_64_VEC(eqv):
             done = fold_eqv(&ctx, op);
             break;
         CASE_OP_32_64(extract):
@@ -2170,13 +2170,13 @@ void tcg_optimize(TCGContext *s)
         CASE_OP_32_64(mulu2):
             done = fold_multiply2(&ctx, op);
             break;
-        CASE_OP_32_64(nand):
+        CASE_OP_32_64_VEC(nand):
             done = fold_nand(&ctx, op);
             break;
         CASE_OP_32_64(neg):
             done = fold_neg(&ctx, op);
             break;
-        CASE_OP_32_64(nor):
+        CASE_OP_32_64_VEC(nor):
             done = fold_nor(&ctx, op);
             break;
         CASE_OP_32_64_VEC(not):
diff --git a/tcg/ppc/tcg-target.h b/tcg/ppc/tcg-target.h
index c775c97b61..3e543161eb 100644
--- a/tcg/ppc/tcg-target.h
+++ b/tcg/ppc/tcg-target.h
@@ -162,6 +162,9 @@ extern bool have_vsx;
 
 #define TCG_TARGET_HAS_andc_vec         1
 #define TCG_TARGET_HAS_orc_vec          have_isa_2_07
+#define TCG_TARGET_HAS_nand_vec         0
+#define TCG_TARGET_HAS_nor_vec          0
+#define TCG_TARGET_HAS_eqv_vec          0
 #define TCG_TARGET_HAS_not_vec          1
 #define TCG_TARGET_HAS_neg_vec          have_isa_3_00
 #define TCG_TARGET_HAS_abs_vec          0
diff --git a/tcg/s390x/tcg-target.h b/tcg/s390x/tcg-target.h
index 69217d995b..94ccb179b8 100644
--- a/tcg/s390x/tcg-target.h
+++ b/tcg/s390x/tcg-target.h
@@ -145,6 +145,9 @@ extern uint64_t s390_facilities[3];
 
 #define TCG_TARGET_HAS_andc_vec       1
 #define TCG_TARGET_HAS_orc_vec        HAVE_FACILITY(VECTOR_ENH1)
+#define TCG_TARGET_HAS_nand_vec       0
+#define TCG_TARGET_HAS_nor_vec        0
+#define TCG_TARGET_HAS_eqv_vec        0
 #define TCG_TARGET_HAS_not_vec        1
 #define TCG_TARGET_HAS_neg_vec        1
 #define TCG_TARGET_HAS_abs_vec        1
diff --git a/tcg/tcg-op-vec.c b/tcg/tcg-op-vec.c
index faf30f9cdd..463dabf515 100644
--- a/tcg/tcg-op-vec.c
+++ b/tcg/tcg-op-vec.c
@@ -371,23 +371,32 @@ void tcg_gen_orc_vec(unsigned vece, TCGv_vec r, TCGv_vec a, TCGv_vec b)
 
 void tcg_gen_nand_vec(unsigned vece, TCGv_vec r, TCGv_vec a, TCGv_vec b)
 {
-    /* TODO: Add TCG_TARGET_HAS_nand_vec when adding a backend supports it. */
-    tcg_gen_and_vec(0, r, a, b);
-    tcg_gen_not_vec(0, r, r);
+    if (TCG_TARGET_HAS_nand_vec) {
+        vec_gen_op3(INDEX_op_nand_vec, 0, r, a, b);
+    } else {
+        tcg_gen_and_vec(0, r, a, b);
+        tcg_gen_not_vec(0, r, r);
+    }
 }
 
 void tcg_gen_nor_vec(unsigned vece, TCGv_vec r, TCGv_vec a, TCGv_vec b)
 {
-    /* TODO: Add TCG_TARGET_HAS_nor_vec when adding a backend supports it. */
-    tcg_gen_or_vec(0, r, a, b);
-    tcg_gen_not_vec(0, r, r);
+    if (TCG_TARGET_HAS_nor_vec) {
+        vec_gen_op3(INDEX_op_nor_vec, 0, r, a, b);
+    } else {
+        tcg_gen_or_vec(0, r, a, b);
+        tcg_gen_not_vec(0, r, r);
+    }
 }
 
 void tcg_gen_eqv_vec(unsigned vece, TCGv_vec r, TCGv_vec a, TCGv_vec b)
 {
-    /* TODO: Add TCG_TARGET_HAS_eqv_vec when adding a backend supports it. */
-    tcg_gen_xor_vec(0, r, a, b);
-    tcg_gen_not_vec(0, r, r);
+    if (TCG_TARGET_HAS_eqv_vec) {
+        vec_gen_op3(INDEX_op_eqv_vec, 0, r, a, b);
+    } else {
+        tcg_gen_xor_vec(0, r, a, b);
+        tcg_gen_not_vec(0, r, r);
+    }
 }
 
 static bool do_op2(unsigned vece, TCGv_vec r, TCGv_vec a, TCGOpcode opc)
diff --git a/tcg/tcg.c b/tcg/tcg.c
index 528277d1d3..33a97eabdb 100644
--- a/tcg/tcg.c
+++ b/tcg/tcg.c
@@ -1407,6 +1407,12 @@ bool tcg_op_supported(TCGOpcode op)
         return have_vec && TCG_TARGET_HAS_andc_vec;
     case INDEX_op_orc_vec:
         return have_vec && TCG_TARGET_HAS_orc_vec;
+    case INDEX_op_nand_vec:
+        return have_vec && TCG_TARGET_HAS_nand_vec;
+    case INDEX_op_nor_vec:
+        return have_vec && TCG_TARGET_HAS_nor_vec;
+    case INDEX_op_eqv_vec:
+        return have_vec && TCG_TARGET_HAS_eqv_vec;
     case INDEX_op_mul_vec:
         return have_vec && TCG_TARGET_HAS_mul_vec;
     case INDEX_op_shli_vec: