diff --git a/include/manif/impl/cast.h b/include/manif/impl/cast.h
new file mode 100644
index 00000000..60a17da9
--- /dev/null
+++ b/include/manif/impl/cast.h
@@ -0,0 +1,35 @@
+#ifndef _MANIF_MANIF_IMPL_CAST_H_
+#define _MANIF_MANIF_IMPL_CAST_H_
+
+namespace manif {
+namespace internal {
+
+template <typename Derived, typename NewScalar>
+struct CastEvaluatorImpl {
+  template <typename T>
+  static auto run(const T& o) -> typename T::template LieGroupTemplate<NewScalar> {
+    return typename T::template LieGroupTemplate<NewScalar>(
+      o.coeffs().template cast<NewScalar>()
+    );
+  }
+};
+
+template <typename Derived, typename NewScalar>
+struct CastEvaluator : CastEvaluatorImpl<Derived, NewScalar> {
+  using Base = CastEvaluatorImpl<Derived, NewScalar>;
+
+  CastEvaluator(const Derived& xptr) : xptr_(xptr) {}
+
+  auto run() const -> typename Derived::template LieGroupTemplate<NewScalar> {
+    return Base::run(xptr_);
+  }
+
+protected:
+
+  const Derived& xptr_;
+};
+
+} // namespace internal
+} // namespace manif
+
+#endif // _MANIF_MANIF_IMPL_CAST_H_
diff --git a/include/manif/impl/lie_group_base.h b/include/manif/impl/lie_group_base.h
index 23ec128c..945669a2 100644
--- a/include/manif/impl/lie_group_base.h
+++ b/include/manif/impl/lie_group_base.h
@@ -6,6 +6,7 @@
 #include "manif/impl/eigen.h"
 #include "manif/impl/tangent_base.h"
 #include "manif/impl/assignment_assert.h"
+#include "manif/impl/cast.h"
 
 #include "manif/constants.h"
 
@@ -415,7 +416,9 @@ template <class _NewScalar>
 typename LieGroupBase<_Derived>::template LieGroupTemplate<_NewScalar>
 LieGroupBase<_Derived>::cast() const
 {
-  return LieGroupTemplate<_NewScalar>(coeffs().template cast<_NewScalar>());
+  return internal::CastEvaluator<
+    typename internal::traits<_Derived>::Base, _NewScalar
+  >(derived()).run();
 }
 
 template <typename _Derived>
diff --git a/include/manif/impl/se2/SE2_base.h b/include/manif/impl/se2/SE2_base.h
index fbd56e58..b4fbd1ed 100644
--- a/include/manif/impl/se2/SE2_base.h
+++ b/include/manif/impl/se2/SE2_base.h
@@ -424,6 +424,17 @@ struct AssignmentEvaluatorImpl<SE2Base<Derived>>
   }
 };
 
+//! @brief Cast specialization for SE2Base objects.
+template <typename Derived, typename NewScalar>
+struct CastEvaluatorImpl<SE2Base<Derived>, NewScalar> {
+  template <typename T>
+  static auto run(const T& o) -> typename Derived::template LieGroupTemplate<NewScalar> {
+    return typename Derived::template LieGroupTemplate<NewScalar>(
+      NewScalar(o.x()), NewScalar(o.y()), NewScalar(o.angle())
+    );
+  }
+};
+
 } /* namespace internal */
 } /* namespace manif */
 
diff --git a/include/manif/impl/se3/SE3_base.h b/include/manif/impl/se3/SE3_base.h
index cc84a652..f7a69c30 100644
--- a/include/manif/impl/se3/SE3_base.h
+++ b/include/manif/impl/se3/SE3_base.h
@@ -443,7 +443,7 @@ struct RandomEvaluatorImpl<SE3Base<Derived>>
   }
 };
 
-//! @brief Assignment assert specialization for SE2Base objects
+//! @brief Assignment assert specialization for SE3Base objects
 template <typename Derived>
 struct AssignmentEvaluatorImpl<SE3Base<Derived>>
 {
@@ -461,6 +461,20 @@ struct AssignmentEvaluatorImpl<SE3Base<Derived>>
   }
 };
 
+//! @brief Cast specialization for SE3Base objects.
+template <typename Derived, typename NewScalar>
+struct CastEvaluatorImpl<SE3Base<Derived>, NewScalar> {
+  template <typename T>
+  static auto run(const T& o) -> typename Derived::template LieGroupTemplate<NewScalar> {
+    const typename SE3Base<Derived>::QuaternionDataType q = o.quat();
+    const typename SE3Base<Derived>::Translation t = o.translation();
+
+    return typename Derived::template LieGroupTemplate<NewScalar>(
+      t.template cast<NewScalar>(), q.template cast<NewScalar>().normalized()
+    );
+  }
+};
+
 } /* namespace internal */
 } /* namespace manif */
 
diff --git a/include/manif/impl/se_2_3/SE_2_3_base.h b/include/manif/impl/se_2_3/SE_2_3_base.h
index 01920c50..329155ce 100644
--- a/include/manif/impl/se_2_3/SE_2_3_base.h
+++ b/include/manif/impl/se_2_3/SE_2_3_base.h
@@ -468,6 +468,23 @@ struct AssignmentEvaluatorImpl<SE_2_3Base<Derived>>
   }
 };
 
+//! @brief Cast specialization for SE_2_3Base objects.
+template <typename Derived, typename NewScalar>
+struct CastEvaluatorImpl<SE_2_3Base<Derived>, NewScalar> {
+  template <typename T>
+  static auto run(const T& o) -> typename Derived::template LieGroupTemplate<NewScalar> {
+    const typename SE_2_3Base<Derived>::QuaternionDataType q = o.quat();
+    const typename SE_2_3Base<Derived>::Translation t = o.translation();
+    const typename SE_2_3Base<Derived>::LinearVelocity v = o.linearVelocity();
+
+    return typename Derived::template LieGroupTemplate<NewScalar>(
+      t.template cast<NewScalar>(),
+      q.template cast<NewScalar>().normalized(),
+      v.template cast<NewScalar>()
+    );
+  }
+};
+
 } /* namespace internal */
 } /* namespace manif */
 
diff --git a/include/manif/impl/so2/SO2_base.h b/include/manif/impl/so2/SO2_base.h
index 82919522..ea1506ab 100644
--- a/include/manif/impl/so2/SO2_base.h
+++ b/include/manif/impl/so2/SO2_base.h
@@ -340,6 +340,15 @@ struct AssignmentEvaluatorImpl<SO2Base<Derived>>
   }
 };
 
+//! @brief Cast specialization for SO2Base objects.
+template <typename Derived, typename NewScalar>
+struct CastEvaluatorImpl<SO2Base<Derived>, NewScalar> {
+  template <typename T>
+  static auto run(const T& o) -> typename Derived::template LieGroupTemplate<NewScalar> {
+    return typename Derived::template LieGroupTemplate<NewScalar>(NewScalar(o.angle()));
+  }
+};
+
 } /* namespace internal */
 } /* namespace manif */
 
diff --git a/include/manif/impl/so3/SO3_base.h b/include/manif/impl/so3/SO3_base.h
index 303c22c9..308649b5 100644
--- a/include/manif/impl/so3/SO3_base.h
+++ b/include/manif/impl/so3/SO3_base.h
@@ -403,7 +403,7 @@ struct RandomEvaluatorImpl<SO3Base<Derived>>
   }
 };
 
-//! @brief Assignment assert specialization for SE2Base objects
+//! @brief Assignment assert specialization for SO3Base objects
 template <typename Derived>
 struct AssignmentEvaluatorImpl<SO3Base<Derived>>
 {
@@ -421,6 +421,19 @@ struct AssignmentEvaluatorImpl<SO3Base<Derived>>
   }
 };
 
+//! @brief Cast specialization for SO3Base objects.
+template <typename Derived, typename NewScalar>
+struct CastEvaluatorImpl<SO3Base<Derived>, NewScalar> {
+  template <typename T>
+  static auto run(const T& o) -> typename Derived::template LieGroupTemplate<NewScalar> {
+    const typename SO3Base<Derived>::QuaternionDataType q = o.quat();
+
+    return typename Derived::template LieGroupTemplate<NewScalar>(
+      q.template cast<NewScalar>().normalized()
+    );
+  }
+};
+
 } /* namespace internal */
 } /* namespace manif */
 
diff --git a/test/common_tester.h b/test/common_tester.h
index e67a5205..d47cd9c5 100644
--- a/test/common_tester.h
+++ b/test/common_tester.h
@@ -104,7 +104,9 @@
   TEST_P(TEST_##manifold##_TESTER, TEST_##manifold##_SMALL_ADJ)           \
   { evalSmallAdj(); }                                                     \
   TEST_F(TEST_##manifold##_TESTER, TEST_##manifold##_IDENTITY_ACT_POINT)  \
-  { evalIdentityActPoint(); }
+  { evalIdentityActPoint(); }                                             \
+  TEST_P(TEST_##manifold##_TESTER, TEST_##manifold##_CAST)                \
+  { evalCast(); }
 
 #define MANIF_TEST_JACOBIANS(manifold)                                                                                    \
   using manifold##JacobiansTester = JacobianTester<manifold>;                                                             \
@@ -703,6 +705,23 @@ class CommonTester
     EXPECT_EIGEN_NEAR(pin, pout);
   }
 
+  void evalCast() {
+    using NewScalar = typename std::conditional<
+      std::is_same<Scalar, float>::value, double, float
+    >::type;
+
+    EXPECT_NO_THROW(
+      auto state = getState().template cast<NewScalar>();
+    );
+
+    int i=0;
+    EXPECT_NO_THROW(
+      for (; i < 10000; ++i) {
+        auto state = LieGroup::Random().template cast<NewScalar>();
+      }
+    ) << "+= failed at iteration " << i;
+  }
+
 protected:
 
   // relax eps for float type
@@ -1044,8 +1063,8 @@ class JacobianTester
     Jrinv = tan.rjacinv();
     Jlinv = tan.ljacinv();
 
-    EXPECT_EIGEN_NEAR(Jacobian::Identity(), Jr*Jrinv);
-    EXPECT_EIGEN_NEAR(Jacobian::Identity(), Jl*Jlinv);
+    EXPECT_EIGEN_NEAR(Jacobian::Identity(), Jr*Jrinv, tol_);
+    EXPECT_EIGEN_NEAR(Jacobian::Identity(), Jl*Jlinv, tol_);
   }
 
   void evalActJac()
diff --git a/test/se2/gtest_se2_map.cpp b/test/se2/gtest_se2_map.cpp
index 4011336d..76f52d9c 100644
--- a/test/se2/gtest_se2_map.cpp
+++ b/test/se2/gtest_se2_map.cpp
@@ -53,13 +53,13 @@ TEST(TEST_SE2, TEST_SE2_MAP_CAST)
 
   EXPECT_DOUBLE_EQ(4, se2d.x());
   EXPECT_DOUBLE_EQ(2, se2d.y());
-  EXPECT_DOUBLE_EQ(MANIF_PI, se2d.angle());
+  EXPECT_DOUBLE_EQ(MANIF_PI, std::abs(se2d.angle()));
 
   SE2f se2f = se2d.cast<float>();
 
   EXPECT_FLOAT_EQ(4, se2f.x());
   EXPECT_FLOAT_EQ(2, se2f.y());
-  EXPECT_FLOAT_EQ(MANIF_PI, se2f.angle());
+  EXPECT_FLOAT_EQ(MANIF_PI, std::abs(se2f.angle()));
 }
 
 TEST(TEST_SE2, TEST_SE2_MAP_IDENTITY)
diff --git a/test/so3/gtest_so3.cpp b/test/so3/gtest_so3.cpp
index 9471f6e8..09606f39 100644
--- a/test/so3/gtest_so3.cpp
+++ b/test/so3/gtest_so3.cpp
@@ -619,12 +619,6 @@ TEST(TEST_SO3, TEST_SO3_NORMALIZE)
 
 #endif
 
-MANIF_TEST(SO3f);
-
-MANIF_TEST_MAP(SO3f);
-
-MANIF_TEST_JACOBIANS(SO3f);
-
 MANIF_TEST(SO3d);
 
 MANIF_TEST_MAP(SO3d);