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11 * The above copyright notice and this permission notice (including the next
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15 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
16 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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22 ****************************************************************************/
25 #if !defined(__cplusplus)
26 #error C++ compilation required
29 #include <immintrin.h>
33 #define SIMD_ARCH_AVX 0
34 #define SIMD_ARCH_AVX2 1
35 #define SIMD_ARCH_AVX512 2
37 #if !defined(SIMD_ARCH)
38 #define SIMD_ARCH SIMD_ARCH_AVX
42 #define SIMDCALL __vectorcall
43 #define SIMDINLINE __forceinline
44 #define SIMDALIGN(type_, align_) __declspec(align(align_)) type_
47 #define SIMDINLINE inline
48 #define SIMDALIGN(type_, align_) type_ __attribute__((aligned(align_)))
51 // For documentation, please see the following include...
52 // #include "simdlib_interface.hpp"
56 enum class CompareType
58 EQ_OQ = 0x00, // Equal (ordered, nonsignaling)
59 LT_OS = 0x01, // Less-than (ordered, signaling)
60 LE_OS = 0x02, // Less-than-or-equal (ordered, signaling)
61 UNORD_Q = 0x03, // Unordered (nonsignaling)
62 NEQ_UQ = 0x04, // Not-equal (unordered, nonsignaling)
63 NLT_US = 0x05, // Not-less-than (unordered, signaling)
64 NLE_US = 0x06, // Not-less-than-or-equal (unordered, signaling)
65 ORD_Q = 0x07, // Ordered (nonsignaling)
66 EQ_UQ = 0x08, // Equal (unordered, non-signaling)
67 NGE_US = 0x09, // Not-greater-than-or-equal (unordered, signaling)
68 NGT_US = 0x0A, // Not-greater-than (unordered, signaling)
69 FALSE_OQ = 0x0B, // False (ordered, nonsignaling)
70 NEQ_OQ = 0x0C, // Not-equal (ordered, non-signaling)
71 GE_OS = 0x0D, // Greater-than-or-equal (ordered, signaling)
72 GT_OS = 0x0E, // Greater-than (ordered, signaling)
73 TRUE_UQ = 0x0F, // True (unordered, non-signaling)
74 EQ_OS = 0x10, // Equal (ordered, signaling)
75 LT_OQ = 0x11, // Less-than (ordered, nonsignaling)
76 LE_OQ = 0x12, // Less-than-or-equal (ordered, nonsignaling)
77 UNORD_S = 0x13, // Unordered (signaling)
78 NEQ_US = 0x14, // Not-equal (unordered, signaling)
79 NLT_UQ = 0x15, // Not-less-than (unordered, nonsignaling)
80 NLE_UQ = 0x16, // Not-less-than-or-equal (unordered, nonsignaling)
81 ORD_S = 0x17, // Ordered (signaling)
82 EQ_US = 0x18, // Equal (unordered, signaling)
83 NGE_UQ = 0x19, // Not-greater-than-or-equal (unordered, nonsignaling)
84 NGT_UQ = 0x1A, // Not-greater-than (unordered, nonsignaling)
85 FALSE_OS = 0x1B, // False (ordered, signaling)
86 NEQ_OS = 0x1C, // Not-equal (ordered, signaling)
87 GE_OQ = 0x1D, // Greater-than-or-equal (ordered, nonsignaling)
88 GT_OQ = 0x1E, // Greater-than (ordered, nonsignaling)
89 TRUE_US = 0x1F, // True (unordered, signaling)
92 #if SIMD_ARCH >= SIMD_ARCH_AVX512
93 enum class CompareTypeInt
95 EQ = _MM_CMPINT_EQ, // Equal
96 LT = _MM_CMPINT_LT, // Less than
97 LE = _MM_CMPINT_LE, // Less than or Equal
98 NE = _MM_CMPINT_NE, // Not Equal
99 GE = _MM_CMPINT_GE, // Greater than or Equal
100 GT = _MM_CMPINT_GT, // Greater than
102 #endif // SIMD_ARCH >= SIMD_ARCH_AVX512
104 enum class ScaleFactor
106 SF_1 = 1, // No scaling
107 SF_2 = 2, // Scale offset by 2
108 SF_4 = 4, // Scale offset by 4
109 SF_8 = 8, // Scale offset by 8
114 TO_NEAREST_INT = 0x00, // Round to nearest integer == TRUNCATE(value + 0.5)
115 TO_NEG_INF = 0x01, // Round to negative infinity
116 TO_POS_INF = 0x02, // Round to positive infinity
117 TO_ZERO = 0x03, // Round to 0 a.k.a. truncate
118 CUR_DIRECTION = 0x04, // Round in direction set in MXCSR register
120 RAISE_EXC = 0x00, // Raise exception on overflow
121 NO_EXC = 0x08, // Suppress exceptions
123 NINT = static_cast<int>(TO_NEAREST_INT) | static_cast<int>(RAISE_EXC),
124 NINT_NOEXC = static_cast<int>(TO_NEAREST_INT) | static_cast<int>(NO_EXC),
125 FLOOR = static_cast<int>(TO_NEG_INF) | static_cast<int>(RAISE_EXC),
126 FLOOR_NOEXC = static_cast<int>(TO_NEG_INF) | static_cast<int>(NO_EXC),
127 CEIL = static_cast<int>(TO_POS_INF) | static_cast<int>(RAISE_EXC),
128 CEIL_NOEXC = static_cast<int>(TO_POS_INF) | static_cast<int>(NO_EXC),
129 TRUNC = static_cast<int>(TO_ZERO) | static_cast<int>(RAISE_EXC),
130 TRUNC_NOEXC = static_cast<int>(TO_ZERO) | static_cast<int>(NO_EXC),
131 RINT = static_cast<int>(CUR_DIRECTION) | static_cast<int>(RAISE_EXC),
132 NEARBYINT = static_cast<int>(CUR_DIRECTION) | static_cast<int>(NO_EXC),
137 using CompareType = SIMDImpl::CompareType;
138 using ScaleFactor = SIMDImpl::ScaleFactor;
139 using RoundMode = SIMDImpl::RoundMode;
142 // Attribute, 4-dimensional attribute in SIMD SOA layout
143 template<typename Float, typename Integer, typename Double>
156 SIMDINLINE Float& operator[] (const int i) { return v[i]; }
157 SIMDINLINE Float const & operator[] (const int i) const { return v[i]; }
158 SIMDINLINE Vec4& operator=(Vec4 const & in)
168 namespace SIMD128Impl
172 SIMDINLINE Float() = default;
173 SIMDINLINE Float(__m128 in) : v(in) {}
174 SIMDINLINE Float& operator=(__m128 in) { v = in; return *this; }
175 SIMDINLINE Float& operator=(Float const & in) { v = in.v; return *this; }
176 SIMDINLINE operator __m128() const { return v; }
178 SIMDALIGN(__m128, 16) v;
183 SIMDINLINE Integer() = default;
184 SIMDINLINE Integer(__m128i in) : v(in) {}
185 SIMDINLINE Integer& operator=(__m128i in) { v = in; return *this; }
186 SIMDINLINE Integer& operator=(Integer const & in) { v = in.v; return *this; }
187 SIMDINLINE operator __m128i() const { return v; }
188 SIMDALIGN(__m128i, 16) v;
193 SIMDINLINE Double() = default;
194 SIMDINLINE Double(__m128d in) : v(in) {}
195 SIMDINLINE Double& operator=(__m128d in) { v = in; return *this; }
196 SIMDINLINE Double& operator=(Double const & in) { v = in.v; return *this; }
197 SIMDINLINE operator __m128d() const { return v; }
198 SIMDALIGN(__m128d, 16) v;
201 using Vec4 = SIMDImpl::Vec4<Float, Integer, Double>;
202 using Mask = uint8_t;
204 static const uint32_t SIMD_WIDTH = 4;
207 namespace SIMD256Impl
211 SIMDINLINE Float() = default;
212 SIMDINLINE Float(__m256 in) : v(in) {}
213 SIMDINLINE Float(SIMD128Impl::Float in_lo, SIMD128Impl::Float in_hi = _mm_setzero_ps())
215 v = _mm256_insertf128_ps(_mm256_castps128_ps256(in_lo), in_hi, 0x1);
217 SIMDINLINE Float& operator=(__m256 in) { v = in; return *this; }
218 SIMDINLINE Float& operator=(Float const & in) { v = in.v; return *this; }
219 SIMDINLINE operator __m256() const { return v; }
221 SIMDALIGN(__m256, 32) v;
222 SIMD128Impl::Float v4[2];
227 SIMDINLINE Integer() = default;
228 SIMDINLINE Integer(__m256i in) : v(in) {}
229 SIMDINLINE Integer(SIMD128Impl::Integer in_lo, SIMD128Impl::Integer in_hi = _mm_setzero_si128())
231 v = _mm256_insertf128_si256(_mm256_castsi128_si256(in_lo), in_hi, 0x1);
233 SIMDINLINE Integer& operator=(__m256i in) { v = in; return *this; }
234 SIMDINLINE Integer& operator=(Integer const & in) { v = in.v; return *this; }
235 SIMDINLINE operator __m256i() const { return v; }
237 SIMDALIGN(__m256i, 32) v;
238 SIMD128Impl::Integer v4[2];
243 SIMDINLINE Double() = default;
244 SIMDINLINE Double(__m256d in) : v(in) {}
245 SIMDINLINE Double(SIMD128Impl::Double in_lo, SIMD128Impl::Double in_hi = _mm_setzero_pd())
247 v = _mm256_insertf128_pd(_mm256_castpd128_pd256(in_lo), in_hi, 0x1);
249 SIMDINLINE Double& operator=(__m256d in) { v = in; return *this; }
250 SIMDINLINE Double& operator=(Double const & in) { v = in.v; return *this; }
251 SIMDINLINE operator __m256d() const { return v; }
253 SIMDALIGN(__m256d, 32) v;
254 SIMD128Impl::Double v4[2];
257 using Vec4 = SIMDImpl::Vec4<Float, Integer, Double>;
258 using Mask = uint8_t;
260 static const uint32_t SIMD_WIDTH = 8;
263 namespace SIMD512Impl
265 #if !(defined(__AVX512F__) || defined(_MM_K0_REG))
266 // Define AVX512 types if not included via immintrin.h.
267 // All data members of these types are ONLY to viewed
268 // in a debugger. Do NOT access them via code!
284 int16_t m512i_i16[32];
285 int32_t m512i_i32[16];
286 int64_t m512i_i64[8];
287 uint8_t m512i_u8[64];
288 uint16_t m512i_u16[32];
289 uint32_t m512i_u32[16];
290 uint64_t m512i_u64[8];
293 using __mmask16 = uint16_t;
296 #if defined(__INTEL_COMPILER) || (SIMD_ARCH >= SIMD_ARCH_AVX512)
297 #define SIMD_ALIGNMENT_BYTES 64
299 #define SIMD_ALIGNMENT_BYTES 32
304 SIMDINLINE Float() = default;
305 SIMDINLINE Float(__m512 in) : v(in) {}
306 SIMDINLINE Float(SIMD256Impl::Float in_lo, SIMD256Impl::Float in_hi = _mm256_setzero_ps()) { v8[0] = in_lo; v8[1] = in_hi; }
307 SIMDINLINE Float& operator=(__m512 in) { v = in; return *this; }
308 SIMDINLINE Float& operator=(Float const & in)
310 #if SIMD_ARCH >= SIMD_ARCH_AVX512
318 SIMDINLINE operator __m512() const { return v; }
320 SIMDALIGN(__m512, SIMD_ALIGNMENT_BYTES) v;
321 SIMD256Impl::Float v8[2];
326 SIMDINLINE Integer() = default;
327 SIMDINLINE Integer(__m512i in) : v(in) {}
328 SIMDINLINE Integer(SIMD256Impl::Integer in_lo, SIMD256Impl::Integer in_hi = _mm256_setzero_si256()) { v8[0] = in_lo; v8[1] = in_hi; }
329 SIMDINLINE Integer& operator=(__m512i in) { v = in; return *this; }
330 SIMDINLINE Integer& operator=(Integer const & in)
332 #if SIMD_ARCH >= SIMD_ARCH_AVX512
341 SIMDINLINE operator __m512i() const { return v; }
343 SIMDALIGN(__m512i, SIMD_ALIGNMENT_BYTES) v;
344 SIMD256Impl::Integer v8[2];
349 SIMDINLINE Double() = default;
350 SIMDINLINE Double(__m512d in) : v(in) {}
351 SIMDINLINE Double(SIMD256Impl::Double in_lo, SIMD256Impl::Double in_hi = _mm256_setzero_pd()) { v8[0] = in_lo; v8[1] = in_hi; }
352 SIMDINLINE Double& operator=(__m512d in) { v = in; return *this; }
353 SIMDINLINE Double& operator=(Double const & in)
355 #if SIMD_ARCH >= SIMD_ARCH_AVX512
364 SIMDINLINE operator __m512d() const { return v; }
366 SIMDALIGN(__m512d, SIMD_ALIGNMENT_BYTES) v;
367 SIMD256Impl::Double v8[2];
370 typedef SIMDImpl::Vec4<Float, Integer, Double> SIMDALIGN(Vec4, 64);
371 using Mask = __mmask16;
373 static const uint32_t SIMD_WIDTH = 16;
375 #undef SIMD_ALIGNMENT_BYTES