diff --git a/src/int128.h b/src/int128.h
index 8c1c061a8..5355fbfae 100644
--- a/src/int128.h
+++ b/src/int128.h
@@ -80,10 +80,10 @@ static SECP256K1_INLINE void secp256k1_i128_from_i64(secp256k1_int128 *r, int64_
 /* Compare two 128-bit values for equality. */
 static SECP256K1_INLINE int secp256k1_i128_eq_var(const secp256k1_int128 *a, const secp256k1_int128 *b);
 
-/* Tests if r is equal to 2^n.
+/* Tests if r is equal to sign*2^n (sign must be 1 or -1).
  * n must be strictly less than 127.
  */
-static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n);
+static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n, int sign);
 
 #endif
 
diff --git a/src/int128_native_impl.h b/src/int128_native_impl.h
index 30c26f2d3..996e542cf 100644
--- a/src/int128_native_impl.h
+++ b/src/int128_native_impl.h
@@ -84,9 +84,10 @@ static SECP256K1_INLINE int secp256k1_i128_eq_var(const secp256k1_int128 *a, con
    return *a == *b;
 }
 
-static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n) {
+static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n, int sign) {
    VERIFY_CHECK(n < 127);
-   return (*r == (int128_t)1 << n);
+   VERIFY_CHECK(sign == 1 || sign == -1);
+   return (*r == (int128_t)((uint128_t)sign << n));
 }
 
 #endif
diff --git a/src/int128_struct_impl.h b/src/int128_struct_impl.h
index 298a7bb1a..2eb337cb5 100644
--- a/src/int128_struct_impl.h
+++ b/src/int128_struct_impl.h
@@ -189,10 +189,11 @@ static SECP256K1_INLINE int secp256k1_i128_eq_var(const secp256k1_int128 *a, con
    return a->hi == b->hi && a->lo == b->lo;
 }
 
-static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n) {
-   VERIFY_CHECK(n < 127);
-   return n >= 64 ? r->hi == (uint64_t)1 << (n - 64) && r->lo == 0
-                  : r->hi == 0 && r->lo == (uint64_t)1 << n;
+static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n, int sign) {
+    VERIFY_CHECK(n < 127);
+    VERIFY_CHECK(sign == 1 || sign == -1);
+    return n >= 64 ? r->hi == (uint64_t)sign << (n - 64) && r->lo == 0
+                   : r->hi == (uint64_t)((sign - 1) >> 1) && r->lo == (uint64_t)sign << n;
 }
 
 #endif
diff --git a/src/modinv64_impl.h b/src/modinv64_impl.h
index 2b5463a3f..d193844af 100644
--- a/src/modinv64_impl.h
+++ b/src/modinv64_impl.h
@@ -75,7 +75,7 @@ static int secp256k1_modinv64_mul_cmp_62(const secp256k1_modinv64_signed62 *a, i
 static int secp256k1_modinv64_det_check_pow2(const secp256k1_modinv64_trans2x2 *t, unsigned int n) {
     secp256k1_int128 a;
     secp256k1_i128_det(&a, t->u, t->v, t->q, t->r);
-    return secp256k1_i128_check_pow2(&a, n);
+    return secp256k1_i128_check_pow2(&a, n, 1);
 }
 #endif
 
diff --git a/src/tests.c b/src/tests.c
index bc5b7cb1f..dadac4c4d 100644
--- a/src/tests.c
+++ b/src/tests.c
@@ -2022,30 +2022,56 @@ static void run_int128_test_case(void) {
         }
         CHECK(secp256k1_i128_eq_var(&swa, &swz) == expect);
     }
-    /* test secp256k1_i128_check_pow2 */
+    /* test secp256k1_i128_check_pow2 (sign == 1) */
     {
         int expect = (uc & 1);
         int pos = ub % 127;
         if (expect) {
-            /* If expect==1, set swz to exactly (2 << pos). */
+            /* If expect==1, set swz to exactly 2^pos. */
             uint64_t hi = 0;
             uint64_t lo = 0;
-            if (pos & 64) {
+            if (pos >= 64) {
                 hi = (((uint64_t)1) << (pos & 63));
             } else {
                 lo = (((uint64_t)1) << (pos & 63));
             }
             secp256k1_i128_load(&swz, hi, lo);
         } else {
-            /* If expect==0, set swz = swa, but update expect=1 if swa happens to equal (2 << pos). */
-            if (pos & 64) {
+            /* If expect==0, set swz = swa, but update expect=1 if swa happens to equal 2^pos. */
+            if (pos >= 64) {
                 if ((v[1] == (((uint64_t)1) << (pos & 63))) && v[0] == 0) expect = 1;
             } else {
                 if ((v[0] == (((uint64_t)1) << (pos & 63))) && v[1] == 0) expect = 1;
             }
             swz = swa;
         }
-        CHECK(secp256k1_i128_check_pow2(&swz, pos) == expect);
+        CHECK(secp256k1_i128_check_pow2(&swz, pos, 1) == expect);
+    }
+    /* test secp256k1_i128_check_pow2 (sign == -1) */
+    {
+        int expect = (uc & 1);
+        int pos = ub % 127;
+        if (expect) {
+            /* If expect==1, set swz to exactly -2^pos. */
+            uint64_t hi = ~(uint64_t)0;
+            uint64_t lo = ~(uint64_t)0;
+            if (pos >= 64) {
+                hi <<= (pos & 63);
+                lo = 0;
+            } else {
+                lo <<= (pos & 63);
+            }
+            secp256k1_i128_load(&swz, hi, lo);
+        } else {
+            /* If expect==0, set swz = swa, but update expect=1 if swa happens to equal -2^pos. */
+            if (pos >= 64) {
+                if ((v[1] == ((~(uint64_t)0) << (pos & 63))) && v[0] == 0) expect = 1;
+            } else {
+                if ((v[0] == ((~(uint64_t)0) << (pos & 63))) && v[1] == ~(uint64_t)0) expect = 1;
+            }
+            swz = swa;
+        }
+        CHECK(secp256k1_i128_check_pow2(&swz, pos, -1) == expect);
     }
 }