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// This file is part of Eigen, a lightweight C++ template library // for linear algebra. // // Copyright (C) 2007 Julien Pommier // Copyright (C) 2009 Gael Guennebaud // // This Source Code Form is subject to the terms of the Mozilla // Public License v. 2.0. If a copy of the MPL was not distributed // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. /* The sin and cos and functions of this file come from * Julien Pommier's sse math library: http://gruntthepeon.free.fr/ssemath/ */ #ifndef EIGEN_MATH_FUNCTIONS_SSE_H #define EIGEN_MATH_FUNCTIONS_SSE_H // IWYU pragma: private #include "../../InternalHeaderCheck.h" namespace Eigen { namespace internal { EIGEN_INSTANTIATE_GENERIC_MATH_FUNCS_FLOAT(Packet4f) EIGEN_INSTANTIATE_GENERIC_MATH_FUNCS_DOUBLE(Packet2d) // Notice that for newer processors, it is counterproductive to use Newton // iteration for square root. In particular, Skylake and Zen2 processors // have approximately doubled throughput of the _mm_sqrt_ps instruction // compared to their predecessors. template <> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet4f psqrt(const Packet4f& x) { return _mm_sqrt_ps(x); } template <> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet2d psqrt(const Packet2d& x) { return _mm_sqrt_pd(x); } template <> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet16b psqrt(const Packet16b& x) { return x; } #if EIGEN_FAST_MATH // Even on Skylake, using Newton iteration is a win for reciprocal square root. template <> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f prsqrt(const Packet4f& x) { return generic_rsqrt_newton_step::run(x, _mm_rsqrt_ps(x)); } #ifdef EIGEN_VECTORIZE_FMA // Trying to speed up reciprocal using Newton-Raphson is counterproductive // unless FMA is available. Without FMA pdiv(pset1(Scalar(1),a)) is // 30% faster. template <> EIGEN_STRONG_INLINE Packet4f preciprocal(const Packet4f& x) { return generic_reciprocal_newton_step::run(x, _mm_rcp_ps(x)); } #endif #endif } // end namespace internal namespace numext { template <> EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE float sqrt(const float& x) { return internal::pfirst(internal::Packet4f(_mm_sqrt_ss(_mm_set_ss(x)))); } template <> EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE double sqrt(const double& x) { #if EIGEN_COMP_GNUC_STRICT // This works around a GCC bug generating poor code for _mm_sqrt_pd // See https://gitlab.com/libeigen/eigen/commit/8dca9f97e38970 return internal::pfirst(internal::Packet2d(__builtin_ia32_sqrtsd(_mm_set_sd(x)))); #else return internal::pfirst(internal::Packet2d(_mm_sqrt_pd(_mm_set_sd(x)))); #endif } } // namespace numext } // end namespace Eigen #endif // EIGEN_MATH_FUNCTIONS_SSE_H