diff --git a/Eigen/src/Core/GenericPacketMath.h b/Eigen/src/Core/GenericPacketMath.h
index 8bcceaa7b..95c4e4027 100644
--- a/Eigen/src/Core/GenericPacketMath.h
+++ b/Eigen/src/Core/GenericPacketMath.h
@@ -216,11 +216,11 @@ pandnot(const Packet& a, const Packet& b) { return a & (~b); }
 
 /** \internal \returns ones */
 template<typename Packet> EIGEN_DEVICE_FUNC inline Packet
-pones(const Packet& /*a*/) { Packet b; memset(&b, 0xff, sizeof(b)); return b;}
+ptrue(const Packet& /*a*/) { Packet b; memset(&b, 0xff, sizeof(b)); return b;}
 
 /** \internal \returns the bitwise not of \a a */
 template <typename Packet> EIGEN_DEVICE_FUNC inline Packet
-pnot(const Packet& a) { return pxor(pones(a), a);}
+pnot(const Packet& a) { return pxor(ptrue(a), a);}
 
 /** \internal \returns \a a shifted by N bits to the right */
 template<int N> EIGEN_DEVICE_FUNC inline int
@@ -258,15 +258,15 @@ pselect(const Packet& mask, const Packet& a, const Packet& b) {
 
 /** \internal \returns a <= b as a bit mask */
 template<typename Packet> EIGEN_DEVICE_FUNC inline Packet
-pcmp_le(const Packet& a, const Packet& b)  { return a<=b ? pones(a) : pzero(a); }
+pcmp_le(const Packet& a, const Packet& b)  { return a<=b ? ptrue(a) : pzero(a); }
 
 /** \internal \returns a < b as a bit mask */
 template<typename Packet> EIGEN_DEVICE_FUNC inline Packet
-pcmp_lt(const Packet& a, const Packet& b)  { return a<b ? pones(a) : pzero(a); }
+pcmp_lt(const Packet& a, const Packet& b)  { return a<b ? ptrue(a) : pzero(a); }
 
 /** \internal \returns a == b as a bit mask */
 template<typename Packet> EIGEN_DEVICE_FUNC inline Packet
-pcmp_eq(const Packet& a, const Packet& b) { return a==b ? pones(a) : pzero(a); }
+pcmp_eq(const Packet& a, const Packet& b) { return a==b ? ptrue(a) : pzero(a); }
 
 /** \internal \returns a < b or a==NaN or b==NaN as a bit mask */
 template<typename Packet> EIGEN_DEVICE_FUNC inline Packet
diff --git a/Eigen/src/Core/arch/AVX/Complex.h b/Eigen/src/Core/arch/AVX/Complex.h
index 9f1bb969e..dcca35279 100644
--- a/Eigen/src/Core/arch/AVX/Complex.h
+++ b/Eigen/src/Core/arch/AVX/Complex.h
@@ -75,7 +75,7 @@ EIGEN_STRONG_INLINE Packet4cf pcmp_eq(const Packet4cf& a, const Packet4cf& b) {
   return Packet4cf(_mm256_and_ps(eq, _mm256_permute_ps(eq, 0xb1)));
 }
 
-template<> EIGEN_STRONG_INLINE Packet4cf pones<Packet4cf>(const Packet4cf& a) { return Packet4cf(pones(a.v)); }
+template<> EIGEN_STRONG_INLINE Packet4cf ptrue<Packet4cf>(const Packet4cf& a) { return Packet4cf(ptrue(a.v)); }
 template<> EIGEN_STRONG_INLINE Packet4cf pnot<Packet4cf>(const Packet4cf& a) { return Packet4cf(pnot(a.v)); }
 template<> EIGEN_STRONG_INLINE Packet4cf pand   <Packet4cf>(const Packet4cf& a, const Packet4cf& b) { return Packet4cf(_mm256_and_ps(a.v,b.v)); }
 template<> EIGEN_STRONG_INLINE Packet4cf por    <Packet4cf>(const Packet4cf& a, const Packet4cf& b) { return Packet4cf(_mm256_or_ps(a.v,b.v)); }
@@ -290,7 +290,7 @@ EIGEN_STRONG_INLINE Packet2cd pcmp_eq(const Packet2cd& a, const Packet2cd& b) {
   return Packet2cd(pand(eq, _mm256_permute_pd(eq, 0x5)));
 }
 
-template<> EIGEN_STRONG_INLINE Packet2cd pones<Packet2cd>(const Packet2cd& a) { return Packet2cd(pones(a.v)); }
+template<> EIGEN_STRONG_INLINE Packet2cd ptrue<Packet2cd>(const Packet2cd& a) { return Packet2cd(ptrue(a.v)); }
 template<> EIGEN_STRONG_INLINE Packet2cd pnot<Packet2cd>(const Packet2cd& a) { return Packet2cd(pnot(a.v)); }
 template<> EIGEN_STRONG_INLINE Packet2cd pand   <Packet2cd>(const Packet2cd& a, const Packet2cd& b) { return Packet2cd(_mm256_and_pd(a.v,b.v)); }
 template<> EIGEN_STRONG_INLINE Packet2cd por    <Packet2cd>(const Packet2cd& a, const Packet2cd& b) { return Packet2cd(_mm256_or_pd(a.v,b.v)); }
diff --git a/Eigen/src/Core/arch/AVX/PacketMath.h b/Eigen/src/Core/arch/AVX/PacketMath.h
index f6a514fbf..c18c18cc3 100644
--- a/Eigen/src/Core/arch/AVX/PacketMath.h
+++ b/Eigen/src/Core/arch/AVX/PacketMath.h
@@ -251,22 +251,34 @@ template<> EIGEN_STRONG_INLINE Packet8f pfloor<Packet8f>(const Packet8f& a) { re
 template<> EIGEN_STRONG_INLINE Packet4d pfloor<Packet4d>(const Packet4d& a) { return _mm256_floor_pd(a); }
 
 
+template<> EIGEN_STRONG_INLINE Packet8i ptrue<Packet8i>(const Packet8i& a) {
 #ifdef EIGEN_VECTORIZE_AVX2
-template<> EIGEN_STRONG_INLINE Packet8i pones<Packet8i>(const Packet8i& a) {
-  return _mm256_cmpeq_epi64(a,a);
-}
+  // vpcmpeqd has lower latency than the more general vcmpps
+  return _mm256_cmpeq_epi32(a,a);
 #else
-template<> EIGEN_STRONG_INLINE Packet8i pones<Packet8i>(const Packet8i& /*a*/) {
-  const unsigned int o = 0xffffffffu;
-  return _mm256_set_epi32(o, o, o, o, o, o, o, o);
-}
+  const __m256 b = _mm256_castsi256_ps(a);
+  return _mm256_castps_si256(_mm256_cmp_ps(b,b,_CMP_TRUE_UQ));
 #endif
-template<> EIGEN_STRONG_INLINE Packet8f pones<Packet8f>(const Packet8f& a) {
-  return _mm256_castsi256_ps(pones<Packet8i>(_mm256_castps_si256(a)));
 }
 
-template<> EIGEN_STRONG_INLINE Packet4d pones<Packet4d>(const Packet4d& a) {
-  return _mm256_castsi256_pd(pones<Packet8i>(_mm256_castpd_si256(a)));
+template<> EIGEN_STRONG_INLINE Packet8f ptrue<Packet8f>(const Packet8f& a) {
+#ifdef EIGEN_VECTORIZE_AVX2
+  // vpcmpeqd has lower latency than the more general vcmpps
+  const __m256i b = _mm256_castps_si256(a);
+  return _mm256_castsi256_ps(_mm256_cmpeq_epi32(b,b));
+#else
+  return _mm256_cmp_ps(a,a,_CMP_TRUE_UQ);
+#endif
+}
+
+template<> EIGEN_STRONG_INLINE Packet4d ptrue<Packet4d>(const Packet4d& a) {
+#ifdef EIGEN_VECTORIZE_AVX2
+  // vpcmpeqq has lower latency than the more general vcmppd
+  const __m256i b = _mm256_castpd_si256(a);
+  return _mm256_castsi256_pd(_mm256_cmpeq_epi64(b,b));
+#else
+  return _mm256_cmp_pd(a,a,_CMP_TRUE_UQ);
+#endif
 }
 
 template<> EIGEN_STRONG_INLINE Packet8f pand<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_and_ps(a,b); }
diff --git a/Eigen/src/Core/arch/AVX512/Complex.h b/Eigen/src/Core/arch/AVX512/Complex.h
index 154fedc25..b7e68d2ab 100644
--- a/Eigen/src/Core/arch/AVX512/Complex.h
+++ b/Eigen/src/Core/arch/AVX512/Complex.h
@@ -55,6 +55,8 @@ template<> struct unpacket_traits<Packet8cf> {
   typedef Packet4cf half;
 };
 
+template<> EIGEN_STRONG_INLINE Packet8cf ptrue<Packet8cf>(const Packet8cf& a) { return Packet8cf(ptrue(a.v)); }
+template<> EIGEN_STRONG_INLINE Packet8cf pnot<Packet8cf>(const Packet8cf& a) { return Packet8cf(pnot(a.v)); }
 template<> EIGEN_STRONG_INLINE Packet8cf padd<Packet8cf>(const Packet8cf& a, const Packet8cf& b) { return Packet8cf(_mm512_add_ps(a.v,b.v)); }
 template<> EIGEN_STRONG_INLINE Packet8cf psub<Packet8cf>(const Packet8cf& a, const Packet8cf& b) { return Packet8cf(_mm512_sub_ps(a.v,b.v)); }
 template<> EIGEN_STRONG_INLINE Packet8cf pnegate(const Packet8cf& a)
@@ -268,6 +270,8 @@ template<> EIGEN_STRONG_INLINE Packet4cd pmul<Packet4cd>(const Packet4cd& a, con
   return Packet4cd(_mm512_fmaddsub_pd(tmp1, b.v, odd));
 }
 
+template<> EIGEN_STRONG_INLINE Packet4cd ptrue<Packet4cd>(const Packet4cd& a) { return Packet4cd(ptrue(a.v)); }
+template<> EIGEN_STRONG_INLINE Packet4cd pnot<Packet4cd>(const Packet4cd& a) { return Packet4cd(pnot(a.v)); }
 template<> EIGEN_STRONG_INLINE Packet4cd pand   <Packet4cd>(const Packet4cd& a, const Packet4cd& b) { return Packet4cd(pand(a.v,b.v)); }
 template<> EIGEN_STRONG_INLINE Packet4cd por    <Packet4cd>(const Packet4cd& a, const Packet4cd& b) { return Packet4cd(por(a.v,b.v)); }
 template<> EIGEN_STRONG_INLINE Packet4cd pxor   <Packet4cd>(const Packet4cd& a, const Packet4cd& b) { return Packet4cd(pxor(a.v,b.v)); }
diff --git a/Eigen/src/Core/arch/AVX512/PacketMath.h b/Eigen/src/Core/arch/AVX512/PacketMath.h
index 9666c4e22..1164f24b1 100644
--- a/Eigen/src/Core/arch/AVX512/PacketMath.h
+++ b/Eigen/src/Core/arch/AVX512/PacketMath.h
@@ -321,19 +321,18 @@ EIGEN_STRONG_INLINE Packet8d pcmp_eq(const Packet8d& a, const Packet8d& b) {
 }
 
 template <>
-EIGEN_STRONG_INLINE Packet16i pones<Packet16i>(const Packet16i& /*a*/) {
-  const unsigned int o = 0xffffffffu;
-  return _mm512_set_epi32(o, o, o, o, o, o, o, o, o, o, o, o, o, o, o, o);
+EIGEN_STRONG_INLINE Packet16i ptrue<Packet16i>(const Packet16i& /*a*/) {
+  return _mm512_set1_epi32(0xffffffffu);
 }
 
 template <>
-EIGEN_STRONG_INLINE Packet16f pones<Packet16f>(const Packet16f& a) {
-  return _mm512_castsi512_ps(pones<Packet16i>(_mm512_castps_si512(a)));
+EIGEN_STRONG_INLINE Packet16f ptrue<Packet16f>(const Packet16f& a) {
+  return _mm512_castsi512_ps(ptrue<Packet16i>(_mm512_castps_si512(a)));
 }
 
 template <>
-EIGEN_STRONG_INLINE Packet8d pones<Packet8d>(const Packet8d& a) {
-  return _mm512_castsi512_pd(pones<Packet16i>(_mm512_castpd_si512(a)));
+EIGEN_STRONG_INLINE Packet8d ptrue<Packet8d>(const Packet8d& a) {
+  return _mm512_castsi512_pd(ptrue<Packet16i>(_mm512_castpd_si512(a)));
 }
 
 template <>
diff --git a/Eigen/src/Core/arch/GPU/PacketMathHalf.h b/Eigen/src/Core/arch/GPU/PacketMathHalf.h
index c4dfedcf8..00e40d40b 100644
--- a/Eigen/src/Core/arch/GPU/PacketMathHalf.h
+++ b/Eigen/src/Core/arch/GPU/PacketMathHalf.h
@@ -143,7 +143,7 @@ template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pabs<half2>(const half2&
   return result;
 }
 
-template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pones<half2>(const half2& a) {
+template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 ptrue<half2>(const half2& a) {
   half2 result;
   *(reinterpret_cast<unsigned*>(&(result))) = 0xffffffffu;
 }  
@@ -648,8 +648,8 @@ template<> EIGEN_STRONG_INLINE Packet16h pnot(const Packet16h& a) {
   Packet16h r; r.x = _mm256_xor_si256(a.x, pcmp_eq(a.x, a.x)); return r;
 }
 
-template<> EIGEN_STRONG_INLINE Packet16h pones(const Packet16h& a) {
-  Packet16h r; r.x = Packet8i(pones(a.x)); return r;
+template<> EIGEN_STRONG_INLINE Packet16h ptrue(const Packet16h& a) {
+  Packet16h r; r.x = Packet8i(ptrue(a.x)); return r;
 }
 
 template<> EIGEN_STRONG_INLINE Packet16h por(const Packet16h& a,const Packet16h& b) {
@@ -1097,7 +1097,7 @@ EIGEN_STRONG_INLINE Packet8h float2half(const Packet8f& a) {
 #endif
 }
 
-template<> EIGEN_STRONG_INLINE Packet8h pones(const Packet8h& a) {
+template<> EIGEN_STRONG_INLINE Packet8h ptrue(const Packet8h& a) {
   Packet8h r; r.x = _mm_cmpeq_epi32(a.x, a.x); return r;
 }
 
diff --git a/Eigen/src/Core/arch/SSE/Complex.h b/Eigen/src/Core/arch/SSE/Complex.h
index fa84097ac..c3b1de5ce 100644
--- a/Eigen/src/Core/arch/SSE/Complex.h
+++ b/Eigen/src/Core/arch/SSE/Complex.h
@@ -82,7 +82,7 @@ template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, con
   #endif
 }
 
-template<> EIGEN_STRONG_INLINE Packet2cf pones  <Packet2cf>(const Packet2cf& a) { return Packet2cf(pones(a.v)); }
+template<> EIGEN_STRONG_INLINE Packet2cf ptrue  <Packet2cf>(const Packet2cf& a) { return Packet2cf(ptrue(a.v)); }
 template<> EIGEN_STRONG_INLINE Packet2cf pnot   <Packet2cf>(const Packet2cf& a) { return Packet2cf(pnot(a.v)); }
 
 template<> EIGEN_STRONG_INLINE Packet2cf pand   <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_and_ps(a.v,b.v)); }
@@ -308,7 +308,7 @@ template<> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, con
   #endif
 }
 
-template<> EIGEN_STRONG_INLINE Packet1cd pones  <Packet1cd>(const Packet1cd& a) { return Packet1cd(pones(a.v)); }
+template<> EIGEN_STRONG_INLINE Packet1cd ptrue  <Packet1cd>(const Packet1cd& a) { return Packet1cd(ptrue(a.v)); }
 template<> EIGEN_STRONG_INLINE Packet1cd pnot   <Packet1cd>(const Packet1cd& a) { return Packet1cd(pnot(a.v)); }
 template<> EIGEN_STRONG_INLINE Packet1cd pand   <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_and_pd(a.v,b.v)); }
 template<> EIGEN_STRONG_INLINE Packet1cd por    <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_or_pd(a.v,b.v)); }
diff --git a/Eigen/src/Core/arch/SSE/PacketMath.h b/Eigen/src/Core/arch/SSE/PacketMath.h
index 6dd2f8a46..ebc540e24 100755
--- a/Eigen/src/Core/arch/SSE/PacketMath.h
+++ b/Eigen/src/Core/arch/SSE/PacketMath.h
@@ -378,14 +378,14 @@ template<> EIGEN_STRONG_INLINE Packet4i pcmp_eq(const Packet4i& a, const Packet4
 template<> EIGEN_STRONG_INLINE Packet2d pcmp_eq(const Packet2d& a, const Packet2d& b) { return _mm_cmpeq_pd(a,b); }
 template<> EIGEN_STRONG_INLINE Packet4f pcmp_lt_or_nan(const Packet4f& a, const Packet4f& b) { return _mm_cmpnge_ps(a,b); }
 
-template<> EIGEN_STRONG_INLINE Packet4i pones<Packet4i>(const Packet4i& a) { return _mm_cmpeq_epi32(a, a); }
+template<> EIGEN_STRONG_INLINE Packet4i ptrue<Packet4i>(const Packet4i& a) { return _mm_cmpeq_epi32(a, a); }
 template<> EIGEN_STRONG_INLINE Packet4f
-pones<Packet4f>(const Packet4f& a) {
+ptrue<Packet4f>(const Packet4f& a) {
   Packet4i b = _mm_castps_si128(a);
   return _mm_castsi128_ps(_mm_cmpeq_epi32(b, b));
 }
 template<> EIGEN_STRONG_INLINE Packet2d
-pones<Packet2d>(const Packet2d& a) {
+ptrue<Packet2d>(const Packet2d& a) {
   Packet4i b = _mm_castpd_si128(a);
   return _mm_castsi128_pd(_mm_cmpeq_epi32(b, b));
 }
diff --git a/test/packetmath.cpp b/test/packetmath.cpp
index 460cfbdbe..04f93108f 100644
--- a/test/packetmath.cpp
+++ b/test/packetmath.cpp
@@ -240,7 +240,7 @@ template<typename Scalar,typename Packet> void packetmath()
 
   CHECK_CWISE1(internal::pnot, internal::pnot);
   CHECK_CWISE1(internal::pzero, internal::pzero);
-  CHECK_CWISE1(internal::pones, internal::pones);
+  CHECK_CWISE1(internal::ptrue, internal::ptrue);
   CHECK_CWISE1(internal::negate, internal::pnegate);
   CHECK_CWISE1(numext::conj, internal::pconj);