diff --git a/Eigen/src/Core/arch/AVX/Complex.h b/Eigen/src/Core/arch/AVX/Complex.h
index 6a8bee8..bae5714 100644
--- a/Eigen/src/Core/arch/AVX/Complex.h
+++ b/Eigen/src/Core/arch/AVX/Complex.h
@@ -41,6 +41,7 @@
     HasNegate = 1,
     HasSqrt = 1,
     HasLog = 1,
+    HasExp = 1,
     HasAbs = 0,
     HasAbs2 = 0,
     HasMin = 0,
@@ -443,6 +444,11 @@
   return plog_complex<Packet4cf>(a);
 }
 
+template <>
+EIGEN_STRONG_INLINE Packet4cf pexp<Packet4cf>(const Packet4cf& a) {
+  return pexp_complex<Packet4cf>(a);
+}
+
 }  // end namespace internal
 
 }  // end namespace Eigen
diff --git a/Eigen/src/Core/arch/AVX512/Complex.h b/Eigen/src/Core/arch/AVX512/Complex.h
index c14b4a0..b70c7fe 100644
--- a/Eigen/src/Core/arch/AVX512/Complex.h
+++ b/Eigen/src/Core/arch/AVX512/Complex.h
@@ -40,6 +40,7 @@
     HasNegate = 1,
     HasSqrt = 1,
     HasLog = 1,
+    HasExp = 1,
     HasAbs = 0,
     HasAbs2 = 0,
     HasMin = 0,
@@ -460,6 +461,11 @@
   return plog_complex<Packet8cf>(a);
 }
 
+template <>
+EIGEN_STRONG_INLINE Packet8cf pexp<Packet8cf>(const Packet8cf& a) {
+  return pexp_complex<Packet8cf>(a);
+}
+
 }  // end namespace internal
 }  // end namespace Eigen
 
diff --git a/Eigen/src/Core/arch/AltiVec/Complex.h b/Eigen/src/Core/arch/AltiVec/Complex.h
index e3c4436..0252efa 100644
--- a/Eigen/src/Core/arch/AltiVec/Complex.h
+++ b/Eigen/src/Core/arch/AltiVec/Complex.h
@@ -99,6 +99,7 @@
     HasMax = 0,
     HasSqrt = 1,
     HasLog = 1,
+    HasExp = 1,
 #ifdef EIGEN_VECTORIZE_VSX
     HasBlend = 1,
 #endif
@@ -375,6 +376,11 @@
   return plog_complex<Packet2cf>(a);
 }
 
+template <>
+EIGEN_STRONG_INLINE Packet2cf pexp<Packet2cf>(const Packet2cf& a) {
+  return pexp_complex<Packet2cf>(a);
+}
+
 //---------- double ----------
 #ifdef EIGEN_VECTORIZE_VSX
 struct Packet1cd {
diff --git a/Eigen/src/Core/arch/Default/GenericPacketMathFunctions.h b/Eigen/src/Core/arch/Default/GenericPacketMathFunctions.h
index 839df37..626185c 100644
--- a/Eigen/src/Core/arch/Default/GenericPacketMathFunctions.h
+++ b/Eigen/src/Core/arch/Default/GenericPacketMathFunctions.h
@@ -555,7 +555,7 @@
   return float(double(int64_t(p)) * pio2_62);
 }
 
-template <bool ComputeSine, typename Packet>
+template <bool ComputeSine, typename Packet, bool ComputeBoth = false>
 EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
 #if EIGEN_COMP_GNUC_STRICT
     __attribute__((optimize("-fno-unsafe-math-optimizations")))
@@ -669,10 +669,21 @@
   y2 = pmadd(y2, x, x);
 
   // Select the correct result from the two polynomials.
-  y = ComputeSine ? pselect(poly_mask, y2, y1) : pselect(poly_mask, y1, y2);
-
+  if (ComputeBoth) {
+    Packet peven = peven_mask(x);
+    Packet ysin = pselect(poly_mask, y2, y1);
+    Packet ycos = pselect(poly_mask, y1, y2);
+    Packet sign_bit_sin = pxor(_x, preinterpret<Packet>(plogical_shift_left<30>(y_int)));
+    Packet sign_bit_cos = preinterpret<Packet>(plogical_shift_left<30>(padd(y_int, csti_1)));
+    sign_bit_sin = pand(sign_bit_sin, cst_sign_mask);  // clear all but left most bit
+    sign_bit_cos = pand(sign_bit_cos, cst_sign_mask);  // clear all but left most bit
+    y = pselect(peven, pxor(ysin, sign_bit_sin), pxor(ycos, sign_bit_cos));
+  } else {
+    y = ComputeSine ? pselect(poly_mask, y2, y1) : pselect(poly_mask, y1, y2);
+    y = pxor(y, sign_bit);
+  }
   // Update the sign and filter huge inputs
-  return pxor(y, sign_bit);
+  return y;
 }
 
 template <typename Packet>
@@ -1052,6 +1063,50 @@
 }
 
 template <typename Packet>
+EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet pexp_complex(const Packet& a) {
+  typedef typename unpacket_traits<Packet>::as_real RealPacket;
+  typedef typename unpacket_traits<Packet>::type Scalar;
+  typedef typename Scalar::value_type RealScalar;
+  const RealPacket even_mask = peven_mask(a.v);
+  const Packet even_maskp = Packet(even_mask);
+  const RealPacket odd_mask = pcplxflip(Packet(even_mask)).v;
+
+  Packet p0y = Packet(pand(odd_mask, a.v));
+  Packet py0 = pcplxflip(p0y);
+  Packet pyy = padd(p0y, py0);
+
+  RealPacket sincos = psincos_float<false, RealPacket, true>(pyy.v);
+  RealPacket cossin = pcplxflip(Packet(sincos)).v;
+
+  const RealPacket cst_pos_inf = pset1<RealPacket>(NumTraits<RealScalar>::infinity());
+  const RealPacket cst_neg_inf = pset1<RealPacket>(-NumTraits<RealScalar>::infinity());
+  Packet x_is_inf = Packet(pcmp_eq(a.v, cst_pos_inf));
+  Packet x_is_minf = Packet(pcmp_eq(a.v, cst_neg_inf));
+  Packet x_is_zero = Packet(pcmp_eq(pzero(a).v, a.v));
+  Packet x_real_is_inf = pand(even_maskp, x_is_inf);
+  Packet x_real_is_minf = pand(even_maskp, x_is_minf);
+  Packet inf0 = pset1<Packet>(Scalar(NumTraits<RealScalar>::infinity(), RealScalar(0)));
+  Packet x_is_inf0 = pand(x_real_is_inf, pcplxflip(x_is_zero));
+  x_is_inf0 = por(x_is_inf0, pcplxflip(x_is_inf0));
+  Packet x_imag_goes_zero = pand(por(x_is_minf, x_is_inf), pcplxflip(x_real_is_minf));
+  Packet x_is_nan = Packet(pisnan(a.v));
+  Packet x_real_goes_zero = pand(x_is_nan, pcplxflip(x_real_is_minf));
+
+  RealPacket pexp_real = pexp(a.v);
+  Packet pexp_half = Packet(pand(even_mask, pexp_real));
+  RealPacket xexp_flip_rp = pcplxflip(pexp_half).v;
+  RealPacket xexp = padd(pexp_half.v, xexp_flip_rp);
+  Packet result(pmul(cossin, xexp));
+
+  result = pselect(x_is_inf0, inf0, result);
+  result = pselect(x_real_is_minf, pzero(a), result);
+  result = pselect(x_imag_goes_zero, pzero(a), result);
+  result = pselect(x_real_goes_zero, pzero(a), result);
+
+  return result;
+}
+
+template <typename Packet>
 EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet psqrt_complex(const Packet& a) {
   typedef typename unpacket_traits<Packet>::type Scalar;
   typedef typename Scalar::value_type RealScalar;
diff --git a/Eigen/src/Core/arch/Default/GenericPacketMathFunctionsFwd.h b/Eigen/src/Core/arch/Default/GenericPacketMathFunctionsFwd.h
index dd16988..9560de2 100644
--- a/Eigen/src/Core/arch/Default/GenericPacketMathFunctionsFwd.h
+++ b/Eigen/src/Core/arch/Default/GenericPacketMathFunctionsFwd.h
@@ -121,6 +121,10 @@
 template <typename Packet>
 EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet plog_complex(const Packet& x);
 
+/** \internal \returns exp(x) for complex types */
+template <typename Packet>
+EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet pexp_complex(const Packet& x);
+
 // Macros for instantiating these generic functions for different backends.
 #define EIGEN_PACKET_FUNCTION(METHOD, SCALAR, PACKET)                                             \
   template <>                                                                                     \
diff --git a/Eigen/src/Core/arch/NEON/Complex.h b/Eigen/src/Core/arch/NEON/Complex.h
index 22c7765..5257c03 100644
--- a/Eigen/src/Core/arch/NEON/Complex.h
+++ b/Eigen/src/Core/arch/NEON/Complex.h
@@ -63,6 +63,7 @@
     HasNegate = 1,
     HasSqrt = 1,
     HasLog = 1,
+    HasExp = 1,
     HasAbs = 0,
     HasAbs2 = 0,
     HasMin = 0,
@@ -447,6 +448,16 @@
   return plog_complex(a);
 }
 
+template <>
+EIGEN_STRONG_INLINE Packet1cf pexp<Packet1cf>(const Packet1cf& a) {
+  return pexp_complex(a);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2cf pexp<Packet2cf>(const Packet2cf& a) {
+  return pexp_complex(a);
+}
+
 //---------- double ----------
 #if EIGEN_ARCH_ARM64 && !EIGEN_APPLE_DOUBLE_NEON_BUG
 
diff --git a/Eigen/src/Core/arch/SSE/Complex.h b/Eigen/src/Core/arch/SSE/Complex.h
index 76c3a05..0e70f03 100644
--- a/Eigen/src/Core/arch/SSE/Complex.h
+++ b/Eigen/src/Core/arch/SSE/Complex.h
@@ -43,6 +43,7 @@
     HasNegate = 1,
     HasSqrt = 1,
     HasLog = 1,
+    HasExp = 1,
     HasAbs = 0,
     HasAbs2 = 0,
     HasMin = 0,
@@ -424,6 +425,11 @@
   return plog_complex<Packet2cf>(a);
 }
 
+template <>
+EIGEN_STRONG_INLINE Packet2cf pexp<Packet2cf>(const Packet2cf& a) {
+  return pexp_complex<Packet2cf>(a);
+}
+
 }  // end namespace internal
 }  // end namespace Eigen
 
diff --git a/Eigen/src/Core/arch/ZVector/Complex.h b/Eigen/src/Core/arch/ZVector/Complex.h
index e8bd17d..9b89747 100644
--- a/Eigen/src/Core/arch/ZVector/Complex.h
+++ b/Eigen/src/Core/arch/ZVector/Complex.h
@@ -61,6 +61,7 @@
     HasMul = 1,
     HasDiv = 1,
     HasLog = 1,
+    HasExp = 1,
     HasNegate = 1,
     HasAbs = 0,
     HasAbs2 = 0,
@@ -436,6 +437,11 @@
   return plog_complex(a, b);
 }
 
+template <>
+EIGEN_STRONG_INLINE Packet2cf pexp<Packet2cf>(const Packet2cf& a, const Packet2cf& b) {
+  return pexp_complex(a, b);
+}
+
 EIGEN_STRONG_INLINE Packet2cf pcplxflip /*<Packet2cf>*/ (const Packet2cf& x) {
   Packet2cf res;
   res.cd[0] = pcplxflip(x.cd[0]);
diff --git a/test/packetmath.cpp b/test/packetmath.cpp
index bf2970c..c5e4897 100644
--- a/test/packetmath.cpp
+++ b/test/packetmath.cpp
@@ -1447,6 +1447,35 @@
     data1[3] = Scalar(nan, -inf);
     CHECK_CWISE1_IM1ULP_N(std::log, internal::plog, 4);
   }
+
+  if (PacketTraits::HasExp) {
+    for (int i = 0; i < size; ++i) {
+      data1[i] = Scalar(internal::random<RealScalar>(), internal::random<RealScalar>());
+    }
+    CHECK_CWISE1_N(std::exp, internal::pexp, size);
+
+    // Test misc. corner cases.
+    const RealScalar zero = RealScalar(0);
+    const RealScalar one = RealScalar(1);
+    const RealScalar inf = std::numeric_limits<RealScalar>::infinity();
+    const RealScalar nan = std::numeric_limits<RealScalar>::quiet_NaN();
+    for (RealScalar x : {zero, one, inf}) {
+      for (RealScalar y : {zero, one, inf}) {
+        data1[0] = Scalar(x, y);
+        data1[1] = Scalar(-x, y);
+        data1[2] = Scalar(x, -y);
+        data1[3] = Scalar(-x, -y);
+        CHECK_CWISE1_N(std::exp, internal::pexp, 4);
+      }
+    }
+    for (RealScalar x : {zero, one, inf}) {
+      data1[0] = Scalar(x, nan);
+      data1[1] = Scalar(-x, nan);
+      data1[2] = Scalar(nan, x);
+      data1[3] = Scalar(nan, -x);
+      CHECK_CWISE1_N(std::exp, internal::pexp, 4);
+    }
+  }
 }
 
 template <typename Scalar, typename Packet>