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554 lines
22 KiB
C++
554 lines
22 KiB
C++
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#ifndef FILE_NGSIMD
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#define FILE_NGSIMD
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/**************************************************************************/
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/* File: ngsimd.hpp */
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/* Author: Joachim Schoeberl */
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/* Date: 25. Mar. 16 */
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/**************************************************************************/
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#include <immintrin.h>
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#include <tuple>
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#include <ostream>
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#include <stdexcept>
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#include <string>
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#include <type_traits>
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#ifdef WIN32
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#ifndef AVX_OPERATORS_DEFINED
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#define AVX_OPERATORS_DEFINED
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inline __m128d operator- (__m128d a) { return _mm_xor_pd(a, _mm_set1_pd(-0.0)); }
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inline __m128d operator+ (__m128d a, __m128d b) { return _mm_add_pd(a,b); }
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inline __m128d operator- (__m128d a, __m128d b) { return _mm_sub_pd(a,b); }
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inline __m128d operator* (__m128d a, __m128d b) { return _mm_mul_pd(a,b); }
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inline __m128d operator/ (__m128d a, __m128d b) { return _mm_div_pd(a,b); }
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inline __m128d operator* (double a, __m128d b) { return _mm_set1_pd(a)*b; }
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inline __m128d operator* (__m128d b, double a) { return _mm_set1_pd(a)*b; }
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inline __m128d operator+= (__m128d &a, __m128d b) { return a = a+b; }
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inline __m128d operator-= (__m128d &a, __m128d b) { return a = a-b; }
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inline __m128d operator*= (__m128d &a, __m128d b) { return a = a*b; }
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inline __m128d operator/= (__m128d &a, __m128d b) { return a = a/b; }
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inline __m256d operator- (__m256d a) { return _mm256_xor_pd(a, _mm256_set1_pd(-0.0)); }
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inline __m256d operator+ (__m256d a, __m256d b) { return _mm256_add_pd(a,b); }
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inline __m256d operator- (__m256d a, __m256d b) { return _mm256_sub_pd(a,b); }
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inline __m256d operator* (__m256d a, __m256d b) { return _mm256_mul_pd(a,b); }
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inline __m256d operator/ (__m256d a, __m256d b) { return _mm256_div_pd(a,b); }
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inline __m256d operator* (double a, __m256d b) { return _mm256_set1_pd(a)*b; }
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inline __m256d operator* (__m256d b, double a) { return _mm256_set1_pd(a)*b; }
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inline __m256d operator+= (__m256d &a, __m256d b) { return a = a+b; }
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inline __m256d operator-= (__m256d &a, __m256d b) { return a = a-b; }
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inline __m256d operator*= (__m256d &a, __m256d b) { return a = a*b; }
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inline __m256d operator/= (__m256d &a, __m256d b) { return a = a/b; }
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#endif
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#endif
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namespace ngsimd
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{
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constexpr int GetDefaultSIMDSize() {
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#if defined __AVX512F__
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return 8;
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#elif defined __AVX__
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return 4;
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#else
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return 1;
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#endif
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}
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template <typename T, int N=GetDefaultSIMDSize()> class SIMD;
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template <typename T>
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struct has_call_operator
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{
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template <typename C> static std::true_type check( decltype( sizeof(&C::operator() )) ) { return std::true_type(); }
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template <typename> static std::false_type check(...) { return std::false_type(); }
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typedef decltype( check<T>(sizeof(char)) ) type;
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static constexpr type value = type();
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};
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template <typename T1, typename T2, typename T3>
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// a*b+c
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inline auto FMA(T1 a, T2 b, T3 c)
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{
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return a*b+c;
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}
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template<int N, typename T, typename std::enable_if<std::is_arithmetic<T>::value, int>::type = 0>
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inline SIMD<double,N> operator+ (T a, SIMD<double,N> b) { return SIMD<double,N>(a) + b; }
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template<int N, typename T, typename std::enable_if<std::is_arithmetic<T>::value, int>::type = 0>
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inline SIMD<double,N> operator- (T a, SIMD<double,N> b) { return SIMD<double,N>(a) - b; }
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template<int N, typename T, typename std::enable_if<std::is_arithmetic<T>::value, int>::type = 0>
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inline SIMD<double,N> operator* (T a, SIMD<double,N> b) { return SIMD<double,N>(a) * b; }
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template<int N, typename T, typename std::enable_if<std::is_arithmetic<T>::value, int>::type = 0>
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inline SIMD<double,N> operator/ (T a, SIMD<double,N> b) { return SIMD<double,N>(a) / b; }
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template<int N, typename T, typename std::enable_if<std::is_arithmetic<T>::value, int>::type = 0>
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inline SIMD<double,N> operator+ (SIMD<double,N> a, T b) { return a + SIMD<double,N>(b); }
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template<int N, typename T, typename std::enable_if<std::is_arithmetic<T>::value, int>::type = 0>
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inline SIMD<double,N> operator- (SIMD<double,N> a, T b) { return a - SIMD<double,N>(b); }
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template<int N, typename T, typename std::enable_if<std::is_arithmetic<T>::value, int>::type = 0>
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inline SIMD<double,N> operator* (SIMD<double,N> a, T b) { return a * SIMD<double,N>(b); }
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template<int N, typename T, typename std::enable_if<std::is_arithmetic<T>::value, int>::type = 0>
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inline SIMD<double,N> operator/ (SIMD<double,N> a, T b) { return a / SIMD<double,N>(b); }
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#ifdef __AVX__
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template <typename T>
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class AlignedAlloc
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{
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protected:
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static void * aligned_malloc(size_t s)
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{
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// Assume 16 byte alignment of standard library
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if(alignof(T)<=16)
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return malloc(s);
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else
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return _mm_malloc(s, alignof(T));
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}
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static void aligned_free(void *p)
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{
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if(alignof(T)<=16)
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free(p);
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else
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_mm_free(p);
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}
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public:
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void * operator new (size_t s, void *p) { return p; }
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void * operator new (size_t s) { return aligned_malloc(s); }
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void * operator new[] (size_t s) { return aligned_malloc(s); }
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void operator delete (void * p) { aligned_free(p); }
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void operator delete[] (void * p) { aligned_free(p); }
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};
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#else
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// it's only a dummy without AVX
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template <typename T>
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class AlignedAlloc { ; };
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#endif
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using std::sqrt;
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using std::fabs;
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class ExceptionNOSIMD : public std::runtime_error
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{
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public:
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using std::runtime_error::runtime_error;
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std::string What() { return what(); }
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};
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using std::exp;
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template<int N> inline SIMD<double,N> exp (SIMD<double,N> a)
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{
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return SIMD<double,N>([&](int i)->double { return exp(a[i]); } );
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}
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using std::log;
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template<int N> inline SIMD<double,N> log (SIMD<double,N> a)
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{
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return SIMD<double,N>([&](int i)->double { return log(a[i]); } );
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}
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using std::pow;
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template<int N> inline SIMD<double,N> pow (SIMD<double,N> a, double x)
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{
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return SIMD<double,N>([&](int i)->double { return pow(a[i],x); } );
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}
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using std::sin;
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template<int N> inline SIMD<double,N> sin (SIMD<double,N> a)
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{
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return SIMD<double,N>([&](int i)->double { return sin(a[i]); } );
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}
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using std::cos;
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template<int N> inline SIMD<double,N> cos (SIMD<double,N> a)
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{
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return SIMD<double,N>([&](int i)->double { return cos(a[i]); } );
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}
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using std::tan;
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template<int N> inline SIMD<double,N> tan (SIMD<double,N> a)
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{
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return SIMD<double,N>([&](int i)->double { return tan(a[i]); } );
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}
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using std::atan;
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template<int N> inline SIMD<double,N> atan (SIMD<double,N> a)
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{
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return SIMD<double,N>([&](int i)->double { return atan(a[i]); } );
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}
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/////////////////////////////////////////////////////////////////////////////
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// SIMD width 1 (in case no AVX support is available)
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/////////////////////////////////////////////////////////////////////////////
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template<>
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class SIMD<double,1>
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{
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double data;
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public:
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static constexpr int Size() { return 1; }
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SIMD () = default;
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SIMD (const SIMD &) = default;
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SIMD & operator= (const SIMD &) = default;
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// only called if T has a call operator of appropriate type
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template<typename T, typename std::enable_if<std::is_convertible<T, std::function<double(int)>>::value, int>::type = 0>
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SIMD (const T & func)
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{
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data = func(0);
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}
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// only called if T is arithmetic (integral or floating point types)
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template<typename T, typename std::enable_if<std::is_arithmetic<T>::value, int>::type = 0>
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SIMD (const T & val)
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{
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data = val;
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}
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SIMD (double const * p)
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{
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data = *p;
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}
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inline operator double() const { return data; }
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inline double operator[] (int i) const { return ((double*)(&data))[i]; }
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inline double Data() const { return data; }
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inline double & Data() { return data; }
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inline SIMD<double,1> &operator+= (SIMD<double,1> b) { data+=b.Data(); return *this; }
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inline SIMD<double,1> &operator-= (SIMD<double,1> b) { data-=b.Data(); return *this; }
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inline SIMD<double,1> &operator*= (SIMD<double,1> b) { data*=b.Data(); return *this; }
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inline SIMD<double,1> &operator/= (SIMD<double,1> b) { data/=b.Data(); return *this; }
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};
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inline SIMD<double,1> operator+ (SIMD<double,1> a, SIMD<double,1> b) { return a.Data()+b.Data(); }
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inline SIMD<double,1> operator- (SIMD<double,1> a, SIMD<double,1> b) { return a.Data()-b.Data(); }
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inline SIMD<double,1> operator- (SIMD<double,1> a) { return -a.Data(); }
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inline SIMD<double,1> operator* (SIMD<double,1> a, SIMD<double,1> b) { return a.Data()*b.Data(); }
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inline SIMD<double,1> operator/ (SIMD<double,1> a, SIMD<double,1> b) { return a.Data()/b.Data(); }
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inline SIMD<double,1> sqrt (SIMD<double,1> a) { return std::sqrt(a.Data()); }
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inline SIMD<double,1> fabs (SIMD<double,1> a) { return std::fabs(a.Data()); }
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inline SIMD<double,1> L2Norm2 (SIMD<double,1> a) { return a.Data()*a.Data(); }
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inline SIMD<double,1> Trans (SIMD<double,1> a) { return a; }
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inline SIMD<double,1> IfPos (SIMD<double,1> a, SIMD<double,1> b, SIMD<double,1> c)
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{
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return (a.Data() > 0) ? b : c;
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}
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inline double HSum (SIMD<double,1> sd)
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{
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return sd.Data();
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}
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/////////////////////////////////////////////////////////////////////////////
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// AVX - Simd width 4
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/////////////////////////////////////////////////////////////////////////////
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#ifdef __AVX__
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template<>
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class alignas(32) SIMD<double,4> : public AlignedAlloc<SIMD<double,4>>
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{
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__m256d data;
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public:
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static constexpr int Size() { return 4; }
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SIMD () = default;
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SIMD (const SIMD &) = default;
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SIMD & operator= (const SIMD &) = default;
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SIMD (__m256d adata)
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: data(adata)
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{ ; }
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// only called if T has a call operator of appropriate type
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template<typename T, typename std::enable_if<std::is_convertible<T, std::function<double(int)>>::value, int>::type = 0>
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SIMD (const T & func)
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{
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data = _mm256_set_pd(func(3), func(2), func(1), func(0));
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}
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// only called if T is arithmetic (integral or floating point types)
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template<typename T, typename std::enable_if<std::is_arithmetic<T>::value, int>::type = 0>
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SIMD (const T & val)
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{
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data = _mm256_set1_pd(val);
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}
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SIMD (double const * p)
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{
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data = _mm256_loadu_pd(p);
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}
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inline operator __m256d() const { return data; }
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inline double operator[] (int i) const { return ((double*)(&data))[i]; }
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inline __m256d Data() const { return data; }
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inline __m256d & Data() { return data; }
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inline SIMD<double,4> &operator+= (SIMD<double,4> b) { data+=b.Data(); return *this; }
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inline SIMD<double,4> &operator-= (SIMD<double,4> b) { data-=b.Data(); return *this; }
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inline SIMD<double,4> &operator*= (SIMD<double,4> b) { data*=b.Data(); return *this; }
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inline SIMD<double,4> &operator/= (SIMD<double,4> b) { data/=b.Data(); return *this; }
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};
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inline SIMD<double,4> operator+ (SIMD<double,4> a, SIMD<double,4> b) { return a.Data()+b.Data(); }
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inline SIMD<double,4> operator- (SIMD<double,4> a, SIMD<double,4> b) { return a.Data()-b.Data(); }
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inline SIMD<double,4> operator- (SIMD<double,4> a) { return -a.Data(); }
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inline SIMD<double,4> operator* (SIMD<double,4> a, SIMD<double,4> b) { return a.Data()*b.Data(); }
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inline SIMD<double,4> operator/ (SIMD<double,4> a, SIMD<double,4> b) { return a.Data()/b.Data(); }
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inline SIMD<double,4> sqrt (SIMD<double,4> a) { return _mm256_sqrt_pd(a.Data()); }
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inline SIMD<double,4> fabs (SIMD<double,4> a) { return _mm256_max_pd(a.Data(), -a.Data()); }
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inline SIMD<double,4> L2Norm2 (SIMD<double,4> a) { return a.Data()*a.Data(); }
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inline SIMD<double,4> Trans (SIMD<double,4> a) { return a; }
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inline SIMD<double,4> IfPos (SIMD<double,4> a, SIMD<double,4> b, SIMD<double,4> c)
|
||
|
|
{
|
||
|
|
auto cp = _mm256_cmp_pd (a.Data(), _mm256_setzero_pd(), _CMP_GT_OS);
|
||
|
|
return _mm256_blendv_pd(c.Data(), b.Data(), cp);
|
||
|
|
}
|
||
|
|
|
||
|
|
inline double HSum (SIMD<double,4> sd)
|
||
|
|
{
|
||
|
|
__m128d hv = _mm_add_pd (_mm256_extractf128_pd(sd.Data(),0), _mm256_extractf128_pd(sd.Data(),1));
|
||
|
|
return _mm_cvtsd_f64 (_mm_hadd_pd (hv, hv));
|
||
|
|
}
|
||
|
|
|
||
|
|
inline auto HSum (SIMD<double,4> sd1, SIMD<double,4> sd2)
|
||
|
|
{
|
||
|
|
__m256d hv = _mm256_hadd_pd(sd1.Data(), sd2.Data());
|
||
|
|
__m128d hv2 = _mm_add_pd (_mm256_extractf128_pd(hv,0), _mm256_extractf128_pd(hv,1));
|
||
|
|
return std::make_tuple(_mm_cvtsd_f64 (hv2), _mm_cvtsd_f64(_mm_shuffle_pd (hv2, hv2, 3)));
|
||
|
|
}
|
||
|
|
|
||
|
|
inline SIMD<double,4> HSum (SIMD<double,4> v1, SIMD<double,4> v2, SIMD<double,4> v3, SIMD<double,4> v4)
|
||
|
|
{
|
||
|
|
__m256d hsum1 = _mm256_hadd_pd (v1.Data(), v2.Data());
|
||
|
|
__m256d hsum2 = _mm256_hadd_pd (v3.Data(), v4.Data());
|
||
|
|
__m256d hsum = _mm256_add_pd (_mm256_permute2f128_pd (hsum1, hsum2, 1+2*16),
|
||
|
|
_mm256_blend_pd (hsum1, hsum2, 12));
|
||
|
|
return hsum;
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif // __AVX__
|
||
|
|
|
||
|
|
/////////////////////////////////////////////////////////////////////////////
|
||
|
|
// AVX512 - Simd width 8
|
||
|
|
/////////////////////////////////////////////////////////////////////////////
|
||
|
|
#ifdef __AVX512F__
|
||
|
|
template<>
|
||
|
|
class alignas(64) SIMD<double,8> : public AlignedAlloc<SIMD<double,8>>
|
||
|
|
{
|
||
|
|
__m512d data;
|
||
|
|
|
||
|
|
public:
|
||
|
|
static constexpr int Size() { return 8; }
|
||
|
|
SIMD () = default;
|
||
|
|
SIMD (const SIMD &) = default;
|
||
|
|
SIMD & operator= (const SIMD &) = default;
|
||
|
|
|
||
|
|
SIMD (__m512d adata)
|
||
|
|
: data(adata)
|
||
|
|
{ ; }
|
||
|
|
|
||
|
|
// only called if T has a call operator of appropriate type
|
||
|
|
template<typename T, typename std::enable_if<std::is_convertible<T, std::function<double(int)>>::value, int>::type = 0>
|
||
|
|
SIMD (const T & func)
|
||
|
|
{
|
||
|
|
data = _mm512_set_pd(func(7), func(6), func(5), func(4),
|
||
|
|
func(3), func(2), func(1), func(0));
|
||
|
|
}
|
||
|
|
|
||
|
|
// only called if T is arithmetic (integral or floating point types)
|
||
|
|
template<typename T, typename std::enable_if<std::is_arithmetic<T>::value, int>::type = 0>
|
||
|
|
SIMD (const T & val)
|
||
|
|
{
|
||
|
|
data = _mm512_set1_pd(val);
|
||
|
|
}
|
||
|
|
|
||
|
|
SIMD (double const * p)
|
||
|
|
{
|
||
|
|
data = _mm512_loadu_pd(p);
|
||
|
|
}
|
||
|
|
|
||
|
|
inline operator __m512d() const { return data; }
|
||
|
|
inline double operator[] (int i) const { return ((double*)(&data))[i]; }
|
||
|
|
inline __m512d Data() const { return data; }
|
||
|
|
inline __m512d & Data() { return data; }
|
||
|
|
|
||
|
|
inline SIMD<double,8> &operator+= (SIMD<double,8> b) { data+=b.Data(); return *this; }
|
||
|
|
inline SIMD<double,8> &operator-= (SIMD<double,8> b) { data-=b.Data(); return *this; }
|
||
|
|
inline SIMD<double,8> &operator*= (SIMD<double,8> b) { data*=b.Data(); return *this; }
|
||
|
|
inline SIMD<double,8> &operator/= (SIMD<double,8> b) { data/=b.Data(); return *this; }
|
||
|
|
|
||
|
|
};
|
||
|
|
|
||
|
|
inline SIMD<double,8> operator- (SIMD<double,8> a) { return _mm512_sub_pd(_mm512_setzero_pd(), a.Data()); }
|
||
|
|
|
||
|
|
inline SIMD<double,8> operator+ (SIMD<double,8> a, SIMD<double,8> b) { return _mm512_add_pd(a.Data(),b.Data()); }
|
||
|
|
inline SIMD<double,8> operator- (SIMD<double,8> a, SIMD<double,8> b) { return _mm512_sub_pd(a.Data(),b.Data()); }
|
||
|
|
inline SIMD<double,8> operator* (SIMD<double,8> a, SIMD<double,8> b) { return _mm512_mul_pd(a.Data(),b.Data()); }
|
||
|
|
inline SIMD<double,8> operator/ (SIMD<double,8> a, SIMD<double,8> b) { return _mm512_div_pd(a.Data(),b.Data()); }
|
||
|
|
|
||
|
|
inline SIMD<double,8> sqrt (SIMD<double,8> a) { return _mm512_sqrt_pd(a.Data()); }
|
||
|
|
inline SIMD<double,8> fabs (SIMD<double,8> a) { return _mm512_max_pd(a.Data(), -a.Data()); }
|
||
|
|
inline SIMD<double,8> L2Norm2 (SIMD<double,8> a) { return a.Data()*a.Data(); }
|
||
|
|
inline SIMD<double,8> Trans (SIMD<double,8> a) { return a; }
|
||
|
|
inline SIMD<double,8> IfPos (SIMD<double,8> a, SIMD<double,8> b, SIMD<double,8> c)
|
||
|
|
{
|
||
|
|
auto cp = _mm512_cmp_pd_mask (a.Data(), _mm512_setzero_pd(), _MM_CMPINT_GT);
|
||
|
|
return _mm512_mask_blend_pd(cp, c.Data(), b.Data());
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
template<> inline auto FMA (SIMD<double,8> a, SIMD<double,8> b, SIMD<double,8> c)
|
||
|
|
{
|
||
|
|
return _mm512_fmadd_pd (a.Data(), b.Data(), c.Data());
|
||
|
|
}
|
||
|
|
|
||
|
|
inline double HSum (SIMD<double,8> sd)
|
||
|
|
{
|
||
|
|
SIMD<double,4> low = _mm512_extractf64x4_pd(sd.Data(),0);
|
||
|
|
SIMD<double,4> high = _mm512_extractf64x4_pd(sd.Data(),1);
|
||
|
|
return HSum(low)+HSum(high);
|
||
|
|
}
|
||
|
|
|
||
|
|
inline auto HSum (SIMD<double,8> sd1, SIMD<double,8> sd2)
|
||
|
|
{
|
||
|
|
return std::make_tuple(HSum(sd1), HSum(sd2));
|
||
|
|
}
|
||
|
|
|
||
|
|
inline SIMD<double,4> HSum (SIMD<double,8> v1, SIMD<double,8> v2, SIMD<double,8> v3, SIMD<double,8> v4)
|
||
|
|
{
|
||
|
|
SIMD<double,4> high1 = _mm512_extractf64x4_pd(v1.Data(),1);
|
||
|
|
SIMD<double,4> high2 = _mm512_extractf64x4_pd(v2.Data(),1);
|
||
|
|
SIMD<double,4> high3 = _mm512_extractf64x4_pd(v3.Data(),1);
|
||
|
|
SIMD<double,4> high4 = _mm512_extractf64x4_pd(v4.Data(),1);
|
||
|
|
SIMD<double,4> low1 = _mm512_extractf64x4_pd(v1.Data(),0);
|
||
|
|
SIMD<double,4> low2 = _mm512_extractf64x4_pd(v2.Data(),0);
|
||
|
|
SIMD<double,4> low3 = _mm512_extractf64x4_pd(v3.Data(),0);
|
||
|
|
SIMD<double,4> low4 = _mm512_extractf64x4_pd(v4.Data(),0);
|
||
|
|
return HSum(low1,low2,low3,low4) + HSum(high1,high2,high3,high4);
|
||
|
|
}
|
||
|
|
#endif // __AVX512F__
|
||
|
|
|
||
|
|
|
||
|
|
////////////////////////////////////////////////////////////////////////////////
|
||
|
|
// MultiSIMD - Multiple SIMD values in one struct using head-tail implementation
|
||
|
|
////////////////////////////////////////////////////////////////////////////////
|
||
|
|
template <int D, typename T>
|
||
|
|
class MultiSIMD : public AlignedAlloc<MultiSIMD<D,T>>
|
||
|
|
{
|
||
|
|
SIMD<T> head;
|
||
|
|
MultiSIMD<D-1,T> tail;
|
||
|
|
public:
|
||
|
|
MultiSIMD () = default;
|
||
|
|
MultiSIMD (const MultiSIMD & ) = default;
|
||
|
|
MultiSIMD (T v) : head(v), tail(v) { ; }
|
||
|
|
MultiSIMD (SIMD<T> _head, MultiSIMD<D-1,T> _tail)
|
||
|
|
: head(_head), tail(_tail) { ; }
|
||
|
|
SIMD<T> Head() const { return head; }
|
||
|
|
MultiSIMD<D-1,T> Tail() const { return tail; }
|
||
|
|
SIMD<T> & Head() { return head; }
|
||
|
|
MultiSIMD<D-1,T> & Tail() { return tail; }
|
||
|
|
|
||
|
|
template <int NR>
|
||
|
|
SIMD<T> Get() const { return NR==0 ? head : tail.template Get<NR-1>(); }
|
||
|
|
template <int NR>
|
||
|
|
SIMD<T> & Get() { return NR==0 ? head : tail.template Get<NR-1>(); }
|
||
|
|
};
|
||
|
|
|
||
|
|
template <typename T>
|
||
|
|
class MultiSIMD<2,T> : public AlignedAlloc<MultiSIMD<2,T>>
|
||
|
|
{
|
||
|
|
SIMD<T> v0, v1;
|
||
|
|
public:
|
||
|
|
MultiSIMD () = default;
|
||
|
|
MultiSIMD (const MultiSIMD & ) = default;
|
||
|
|
MultiSIMD (T v) : v0(v), v1(v) { ; }
|
||
|
|
MultiSIMD (SIMD<T> _v0, SIMD<T> _v1) : v0(_v0), v1(_v1) { ; }
|
||
|
|
|
||
|
|
SIMD<T> Head() const { return v0; }
|
||
|
|
SIMD<T> Tail() const { return v1; }
|
||
|
|
SIMD<T> & Head() { return v0; }
|
||
|
|
SIMD<T> & Tail() { return v1; }
|
||
|
|
|
||
|
|
template <int NR>
|
||
|
|
SIMD<T> Get() const { return NR==0 ? v0 : v1; }
|
||
|
|
template <int NR>
|
||
|
|
SIMD<T> & Get() { return NR==0 ? v0 : v1; }
|
||
|
|
};
|
||
|
|
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator+ (MultiSIMD<D,double> a, MultiSIMD<D,double> b)
|
||
|
|
{ return MultiSIMD<D,double> (a.Head()+b.Head(), a.Tail()+b.Tail()); }
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator+ (double a, MultiSIMD<D,double> b)
|
||
|
|
{ return MultiSIMD<D,double> (a+b.Head(), a+b.Tail()); }
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator+ (MultiSIMD<D,double> b, double a)
|
||
|
|
{ return MultiSIMD<D,double> (a+b.Head(), a+b.Tail()); }
|
||
|
|
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator- (MultiSIMD<D,double> a, MultiSIMD<D,double> b)
|
||
|
|
{ return MultiSIMD<D,double> (a.Head()-b.Head(), a.Tail()-b.Tail()); }
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator- (double a, MultiSIMD<D,double> b)
|
||
|
|
{ return MultiSIMD<D,double> (a-b.Head(), a-b.Tail()); }
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator- (MultiSIMD<D,double> b, double a)
|
||
|
|
{ return MultiSIMD<D,double> (b.Head()-a, b.Tail()-a); }
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator- (MultiSIMD<D,double> a)
|
||
|
|
{ return MultiSIMD<D,double> (-a.Head(), -a.Tail()); }
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator* (MultiSIMD<D,double> a, MultiSIMD<D,double> b)
|
||
|
|
{ return MultiSIMD<D,double> (a.Head()*b.Head(), a.Tail()*b.Tail()); }
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator/ (MultiSIMD<D,double> a, MultiSIMD<D,double> b)
|
||
|
|
{ return MultiSIMD<D,double> (a.Head()/b.Head(), a.Tail()/b.Tail()); }
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator* (double a, MultiSIMD<D,double> b)
|
||
|
|
{ return MultiSIMD<D,double> ( a*b.Head(), a*b.Tail()); }
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator* (MultiSIMD<D,double> b, double a)
|
||
|
|
{ return MultiSIMD<D,double> ( a*b.Head(), a*b.Tail()); }
|
||
|
|
|
||
|
|
template <int D> inline MultiSIMD<D,double> & operator+= (MultiSIMD<D,double> & a, MultiSIMD<D,double> b)
|
||
|
|
{ a.Head()+=b.Head(); a.Tail()+=b.Tail(); return a; }
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator-= (MultiSIMD<D,double> & a, double b)
|
||
|
|
{ a.Head()-=b; a.Tail()-=b; return a; }
|
||
|
|
template <int D> inline MultiSIMD<D,double> operator-= (MultiSIMD<D,double> & a, MultiSIMD<D,double> b)
|
||
|
|
{ a.Head()-=b.Head(); a.Tail()-=b.Tail(); return a; }
|
||
|
|
template <int D> inline MultiSIMD<D,double> & operator*= (MultiSIMD<D,double> & a, MultiSIMD<D,double> b)
|
||
|
|
{ a.Head()*=b.Head(); a.Tail()*=b.Tail(); return a; }
|
||
|
|
template <int D> inline MultiSIMD<D,double> & operator*= (MultiSIMD<D,double> & a, double b)
|
||
|
|
{ a.Head()*=b; a.Tail()*=b; return a; }
|
||
|
|
// inline MultiSIMD<double> operator/= (MultiSIMD<double> & a, MultiSIMD<double> b) { return a.Data()/=b.Data(); }
|
||
|
|
|
||
|
|
inline SIMD<double> HVSum (SIMD<double> a) { return a; }
|
||
|
|
template <int D>
|
||
|
|
inline SIMD<double> HVSum (MultiSIMD<D,double> a) { return a.Head() + HVSum(a.Tail()); }
|
||
|
|
|
||
|
|
template <int D> inline double HSum (MultiSIMD<D,double> a) { return HSum(HVSum(a)); }
|
||
|
|
template <int D> inline auto HSum (MultiSIMD<D,double> a, MultiSIMD<D,double> b)
|
||
|
|
{ return HSum(HVSum(a), HVSum(b)); }
|
||
|
|
|
||
|
|
template <int D, typename T>
|
||
|
|
std::ostream & operator<< (std::ostream & ost, MultiSIMD<D,T> multi)
|
||
|
|
{
|
||
|
|
ost << multi.Head() << " " << multi.Tail();
|
||
|
|
return ost;
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T>
|
||
|
|
std::ostream & operator<< (std::ostream & ost, SIMD<T> simd)
|
||
|
|
{
|
||
|
|
ost << simd[0];
|
||
|
|
for (int i = 1; i < simd.Size(); i++)
|
||
|
|
ost << " " << simd[i];
|
||
|
|
return ost;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
namespace netgen
|
||
|
|
{
|
||
|
|
using namespace ngsimd;
|
||
|
|
}
|
||
|
|
#endif
|