Implement float pexp_complex
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>