diff --git a/openssl/src/ec.rs b/openssl/src/ec.rs
index cd308fbcf80388a5514e745ee7802245b7eb11e3..e84a1682d5de128d58aa8e14dd005df21675c3c5 100644
--- a/openssl/src/ec.rs
+++ b/openssl/src/ec.rs
@@ -941,6 +941,97 @@ mod test {
         EcKey::generate(&group).unwrap();
     }
 
+    #[test]
+    fn ec_group_from_components() {
+        // parameters are from secp256r1
+        let p = BigNum::from_hex_str(
+            "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
+        )
+        .unwrap();
+        let a = BigNum::from_hex_str(
+            "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
+        )
+        .unwrap();
+        let b = BigNum::from_hex_str(
+            "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
+        )
+        .unwrap();
+        let mut ctx = BigNumContext::new().unwrap();
+
+        let _curve = EcGroup::from_components(p, a, b, &mut ctx).unwrap();
+    }
+
+    #[test]
+    fn ec_point_set_affine() {
+        // parameters are from secp256r1
+        let group = EcGroup::from_curve_name(Nid::X9_62_PRIME256V1).unwrap();
+        let mut ctx = BigNumContext::new().unwrap();
+        let mut gen_point = EcPoint::new(&group).unwrap();
+        let gen_x = BigNum::from_hex_str(
+            "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",
+        )
+        .unwrap();
+        let gen_y = BigNum::from_hex_str(
+            "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
+        )
+        .unwrap();
+        gen_point
+            .set_affine_coordinates_gfp(&group, &gen_x, &gen_y, &mut ctx)
+            .unwrap();
+        assert!(gen_point.is_on_curve(&group, &mut ctx).unwrap());
+    }
+
+    #[test]
+    fn ec_group_set_generator() {
+        // parameters are from secp256r1
+        let mut ctx = BigNumContext::new().unwrap();
+        let p = BigNum::from_hex_str(
+            "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
+        )
+        .unwrap();
+        let a = BigNum::from_hex_str(
+            "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
+        )
+        .unwrap();
+        let b = BigNum::from_hex_str(
+            "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
+        )
+        .unwrap();
+
+        let mut group = EcGroup::from_components(p, a, b, &mut ctx).unwrap();
+
+        let mut gen_point = EcPoint::new(&group).unwrap();
+        let gen_x = BigNum::from_hex_str(
+            "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",
+        )
+        .unwrap();
+        let gen_y = BigNum::from_hex_str(
+            "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
+        )
+        .unwrap();
+        gen_point
+            .set_affine_coordinates_gfp(&group, &gen_x, &gen_y, &mut ctx)
+            .unwrap();
+
+        let order = BigNum::from_hex_str(
+            "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
+        )
+        .unwrap();
+        let cofactor = BigNum::from_hex_str("01").unwrap();
+        group.set_generator(gen_point, order, cofactor).unwrap();
+        let mut constructed_order = BigNum::new().unwrap();
+        group.order(&mut constructed_order, &mut ctx).unwrap();
+
+        let named_group = EcGroup::from_curve_name(Nid::X9_62_PRIME256V1).unwrap();
+        let mut named_order = BigNum::new().unwrap();
+        named_group.order(&mut named_order, &mut ctx).unwrap();
+
+        assert_eq!(
+            constructed_order.ucmp(&named_order),
+            std::cmp::Ordering::Equal
+        );
+    }
+
     #[test]
     fn cofactor() {
         let group = EcGroup::from_curve_name(Nid::X9_62_PRIME256V1).unwrap();