// Copyright Naoki Shibata and contributors 2010 - 2021. // Distributed under the Boost Software License, Version 1.0. // (See accompanying file LICENSE.txt or copy at // http://www.boost.org/LICENSE_1_0.txt) #if CONFIG == 1 || CONFIG == 2 #if !defined(__AVX512F__) && !defined(SLEEF_GENHEADER) #error Please specify -mavx512f. #endif #else #error CONFIG macro invalid or not defined #endif #define ENABLE_DP //@#define ENABLE_DP #define LOG2VECTLENDP 3 //@#define LOG2VECTLENDP 3 #define VECTLENDP (1 << LOG2VECTLENDP) //@#define VECTLENDP (1 << LOG2VECTLENDP) #define ENABLE_SP //@#define ENABLE_SP #define LOG2VECTLENSP (LOG2VECTLENDP+1) //@#define LOG2VECTLENSP (LOG2VECTLENDP+1) #define VECTLENSP (1 << LOG2VECTLENSP) //@#define VECTLENSP (1 << LOG2VECTLENSP) #if CONFIG == 1 #define ENABLE_FMA_DP //@#define ENABLE_FMA_DP #define ENABLE_FMA_SP //@#define ENABLE_FMA_SP #endif #define FULL_FP_ROUNDING //@#define FULL_FP_ROUNDING #define ACCURATE_SQRT //@#define ACCURATE_SQRT #if !defined(SLEEF_GENHEADER) #if defined(_MSC_VER) #include #else #include #endif #include #include "misc.h" #endif // #if !defined(SLEEF_GENHEADER) typedef __m512i vmask; typedef __mmask16 vopmask; typedef __m512d vdouble; typedef __m256i vint; typedef __m512 vfloat; typedef __m512i vint2; typedef __m512i vint64; typedef __m512i vuint64; typedef struct { vmask x, y; } vquad; typedef vquad vargquad; // #if !defined(SLEEF_GENHEADER) #ifndef __SLEEF_H__ void Sleef_x86CpuID(int32_t out[4], uint32_t eax, uint32_t ecx); #endif static INLINE int cpuSupportsAVX512F() { int32_t reg[4]; Sleef_x86CpuID(reg, 7, 0); return (reg[1] & (1 << 16)) != 0; } #if CONFIG == 1 && defined(__AVX512F__) static INLINE int vavailability_i(int name) { int d = cpuSupportsAVX512F(); return d ? 3 : 0; } #define ISANAME "AVX512F" #define DFTPRIORITY 30 #endif #if CONFIG == 2 && defined(__AVX512F__) static INLINE int vavailability_i(int name) { int d = cpuSupportsAVX512F(); return d ? 3 : 0; } #define ISANAME "AVX512FNOFMA" #define DFTPRIORITY 0 #endif #endif // #if !defined(SLEEF_GENHEADER) static INLINE void vprefetch_v_p(const void *ptr) { _mm_prefetch((const char *)ptr, _MM_HINT_T0); } #ifdef __INTEL_COMPILER static INLINE int vtestallones_i_vo64(vopmask g) { return _mm512_mask2int(g) == 0xff; } static INLINE int vtestallones_i_vo32(vopmask g) { return _mm512_mask2int(g) == 0xffff; } #else static INLINE int vtestallones_i_vo64(vopmask g) { return g == 0xff; } static INLINE int vtestallones_i_vo32(vopmask g) { return g == 0xffff; } #endif // static vint2 vloadu_vi2_p(int32_t *p) { return _mm512_loadu_si512((__m512i const *)p); } static void vstoreu_v_p_vi2(int32_t *p, vint2 v) { _mm512_storeu_si512((__m512i *)p, v); } static vint vloadu_vi_p(int32_t *p) { return _mm256_loadu_si256((__m256i const *)p); } static void vstoreu_v_p_vi(int32_t *p, vint v) { _mm256_storeu_si256((__m256i *)p, v); } // static INLINE vmask vand_vm_vm_vm(vmask x, vmask y) { return _mm512_and_si512(x, y); } static INLINE vmask vandnot_vm_vm_vm(vmask x, vmask y) { return _mm512_andnot_si512(x, y); } static INLINE vmask vor_vm_vm_vm(vmask x, vmask y) { return _mm512_or_si512(x, y); } static INLINE vmask vxor_vm_vm_vm(vmask x, vmask y) { return _mm512_xor_si512(x, y); } static INLINE vopmask vand_vo_vo_vo(vopmask x, vopmask y) { return _mm512_kand(x, y); } static INLINE vopmask vandnot_vo_vo_vo(vopmask x, vopmask y) { return _mm512_kandn(x, y); } static INLINE vopmask vor_vo_vo_vo(vopmask x, vopmask y) { return _mm512_kor(x, y); } static INLINE vopmask vxor_vo_vo_vo(vopmask x, vopmask y) { return _mm512_kxor(x, y); } static INLINE vmask vand_vm_vo64_vm(vopmask o, vmask m) { return _mm512_mask_and_epi64(_mm512_set1_epi32(0), o, m, m); } static INLINE vmask vandnot_vm_vo64_vm(vopmask o, vmask m) { return _mm512_mask_and_epi64(m, o, _mm512_set1_epi32(0), _mm512_set1_epi32(0)); } static INLINE vmask vor_vm_vo64_vm(vopmask o, vmask m) { return _mm512_mask_or_epi64(m, o, _mm512_set1_epi32(-1), _mm512_set1_epi32(-1)); } static INLINE vmask vand_vm_vo32_vm(vopmask o, vmask m) { return _mm512_mask_and_epi32(_mm512_set1_epi32(0), o, m, m); } static INLINE vmask vandnot_vm_vo32_vm(vopmask o, vmask m) { return _mm512_mask_and_epi32(m, o, _mm512_set1_epi32(0), _mm512_set1_epi32(0)); } static INLINE vmask vor_vm_vo32_vm(vopmask o, vmask m) { return _mm512_mask_or_epi32(m, o, _mm512_set1_epi32(-1), _mm512_set1_epi32(-1)); } static INLINE vopmask vcast_vo32_vo64(vopmask o) { return o; } static INLINE vopmask vcast_vo64_vo32(vopmask o) { return o; } static INLINE vopmask vcast_vo_i(int i) { return i ? -1 : 0; } // static INLINE vint vrint_vi_vd(vdouble vd) { return _mm512_cvt_roundpd_epi32(vd, _MM_FROUND_TO_NEAREST_INT |_MM_FROUND_NO_EXC); } static INLINE vint vtruncate_vi_vd(vdouble vd) { return _mm512_cvt_roundpd_epi32(vd, _MM_FROUND_TO_ZERO |_MM_FROUND_NO_EXC); } static INLINE vdouble vcast_vd_vi(vint vi) { return _mm512_cvtepi32_pd(vi); } static INLINE vint vcast_vi_i(int i) { return _mm256_set1_epi32(i); } static INLINE vdouble vtruncate_vd_vd(vdouble vd) { return _mm512_roundscale_pd(vd, _MM_FROUND_TO_ZERO |_MM_FROUND_NO_EXC); } static INLINE vdouble vrint_vd_vd(vdouble vd) { return _mm512_roundscale_pd(vd, _MM_FROUND_TO_NEAREST_INT |_MM_FROUND_NO_EXC); } static INLINE vmask vcastu_vm_vi(vint vi) { return _mm512_maskz_permutexvar_epi32(0xaaaa, _mm512_set_epi32(7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0), _mm512_castsi256_si512(vi)); } static INLINE vint vcastu_vi_vm(vmask vi) { return _mm512_castsi512_si256(_mm512_maskz_permutexvar_epi32(0x00ff, _mm512_set_epi32(0, 0, 0, 0, 0, 0, 0, 0, 15, 13, 11, 9, 7, 5, 3, 1), vi)); } static INLINE vmask vcast_vm_i_i(int i0, int i1) { return _mm512_set_epi32(i0, i1, i0, i1, i0, i1, i0, i1, i0, i1, i0, i1, i0, i1, i0, i1); } static INLINE vmask vcast_vm_i64(int64_t i) { return _mm512_set1_epi64(i); } static INLINE vmask vcast_vm_u64(uint64_t i) { return _mm512_set1_epi64((uint64_t)i); } static INLINE vopmask veq64_vo_vm_vm(vmask x, vmask y) { return _mm512_cmp_epi64_mask(x, y, _MM_CMPINT_EQ); } static INLINE vmask vadd64_vm_vm_vm(vmask x, vmask y) { return _mm512_add_epi64(x, y); } // static INLINE vdouble vcast_vd_d(double d) { return _mm512_set1_pd(d); } static INLINE vmask vreinterpret_vm_vd(vdouble vd) { return _mm512_castpd_si512(vd); } static INLINE vdouble vreinterpret_vd_vm(vmask vm) { return _mm512_castsi512_pd(vm); } static INLINE vdouble vadd_vd_vd_vd(vdouble x, vdouble y) { return _mm512_add_pd(x, y); } static INLINE vdouble vsub_vd_vd_vd(vdouble x, vdouble y) { return _mm512_sub_pd(x, y); } static INLINE vdouble vmul_vd_vd_vd(vdouble x, vdouble y) { return _mm512_mul_pd(x, y); } static INLINE vdouble vdiv_vd_vd_vd(vdouble x, vdouble y) { return _mm512_div_pd(x, y); } static INLINE vdouble vrec_vd_vd(vdouble x) { return _mm512_div_pd(_mm512_set1_pd(1), x); } static INLINE vdouble vsqrt_vd_vd(vdouble x) { return _mm512_sqrt_pd(x); } static INLINE vdouble vabs_vd_vd(vdouble d) { return vreinterpret_vd_vm(_mm512_andnot_si512(vreinterpret_vm_vd(_mm512_set1_pd(-0.0)), vreinterpret_vm_vd(d))); } static INLINE vdouble vneg_vd_vd(vdouble d) { return vreinterpret_vd_vm(_mm512_xor_si512(vreinterpret_vm_vd(_mm512_set1_pd(-0.0)), vreinterpret_vm_vd(d))); } static INLINE vdouble vmax_vd_vd_vd(vdouble x, vdouble y) { return _mm512_max_pd(x, y); } static INLINE vdouble vmin_vd_vd_vd(vdouble x, vdouble y) { return _mm512_min_pd(x, y); } #if CONFIG == 1 static INLINE vdouble vmla_vd_vd_vd_vd(vdouble x, vdouble y, vdouble z) { return _mm512_fmadd_pd(x, y, z); } static INLINE vdouble vmlapn_vd_vd_vd_vd(vdouble x, vdouble y, vdouble z) { return _mm512_fmsub_pd(x, y, z); } static INLINE vdouble vmlanp_vd_vd_vd_vd(vdouble x, vdouble y, vdouble z) { return _mm512_fnmadd_pd(x, y, z); } #else static INLINE vdouble vmla_vd_vd_vd_vd(vdouble x, vdouble y, vdouble z) { return vadd_vd_vd_vd(vmul_vd_vd_vd(x, y), z); } static INLINE vdouble vmlapn_vd_vd_vd_vd(vdouble x, vdouble y, vdouble z) { return vsub_vd_vd_vd(vmul_vd_vd_vd(x, y), z); } #endif static INLINE vdouble vfma_vd_vd_vd_vd(vdouble x, vdouble y, vdouble z) { return _mm512_fmadd_pd(x, y, z); } static INLINE vdouble vfmapp_vd_vd_vd_vd(vdouble x, vdouble y, vdouble z) { return _mm512_fmadd_pd(x, y, z); } static INLINE vdouble vfmapn_vd_vd_vd_vd(vdouble x, vdouble y, vdouble z) { return _mm512_fmsub_pd(x, y, z); } static INLINE vdouble vfmanp_vd_vd_vd_vd(vdouble x, vdouble y, vdouble z) { return _mm512_fnmadd_pd(x, y, z); } static INLINE vdouble vfmann_vd_vd_vd_vd(vdouble x, vdouble y, vdouble z) { return _mm512_fnmsub_pd(x, y, z); } static INLINE vopmask veq_vo_vd_vd(vdouble x, vdouble y) { return _mm512_cmp_pd_mask(x, y, _CMP_EQ_OQ); } static INLINE vopmask vneq_vo_vd_vd(vdouble x, vdouble y) { return _mm512_cmp_pd_mask(x, y, _CMP_NEQ_UQ); } static INLINE vopmask vlt_vo_vd_vd(vdouble x, vdouble y) { return _mm512_cmp_pd_mask(x, y, _CMP_LT_OQ); } static INLINE vopmask vle_vo_vd_vd(vdouble x, vdouble y) { return _mm512_cmp_pd_mask(x, y, _CMP_LE_OQ); } static INLINE vopmask vgt_vo_vd_vd(vdouble x, vdouble y) { return _mm512_cmp_pd_mask(x, y, _CMP_GT_OQ); } static INLINE vopmask vge_vo_vd_vd(vdouble x, vdouble y) { return _mm512_cmp_pd_mask(x, y, _CMP_GE_OQ); } // static INLINE vint vadd_vi_vi_vi(vint x, vint y) { return _mm256_add_epi32(x, y); } static INLINE vint vsub_vi_vi_vi(vint x, vint y) { return _mm256_sub_epi32(x, y); } static INLINE vint vneg_vi_vi(vint e) { return vsub_vi_vi_vi(vcast_vi_i(0), e); } static INLINE vint vand_vi_vi_vi(vint x, vint y) { return _mm256_and_si256(x, y); } static INLINE vint vandnot_vi_vi_vi(vint x, vint y) { return _mm256_andnot_si256(x, y); } static INLINE vint vandnot_vi_vo_vi(vopmask o, vint y) { return _mm512_castsi512_si256(_mm512_mask_and_epi32(_mm512_castsi256_si512(y), o, _mm512_set1_epi32(0), _mm512_set1_epi32(0))); } static INLINE vint vand_vi_vo_vi(vopmask o, vint y) { return _mm512_castsi512_si256(_mm512_mask_and_epi32(_mm512_set1_epi32(0), o, _mm512_castsi256_si512(y), _mm512_castsi256_si512(y))); } static INLINE vint vor_vi_vi_vi(vint x, vint y) { return _mm256_or_si256(x, y); } static INLINE vint vxor_vi_vi_vi(vint x, vint y) { return _mm256_xor_si256(x, y); } #define vsll_vi_vi_i(x, c) _mm256_slli_epi32(x, c) #define vsrl_vi_vi_i(x, c) _mm256_srli_epi32(x, c) #define vsra_vi_vi_i(x, c) _mm256_srai_epi32(x, c) //@#define vsll_vi_vi_i(x, c) _mm256_slli_epi32(x, c) //@#define vsrl_vi_vi_i(x, c) _mm256_srli_epi32(x, c) //@#define vsra_vi_vi_i(x, c) _mm256_srai_epi32(x, c) static INLINE vint veq_vi_vi_vi(vint x, vint y) { return _mm256_cmpeq_epi32(x, y); } static INLINE vint vgt_vi_vi_vi(vint x, vint y) { return _mm256_cmpgt_epi32(x, y); } static INLINE vopmask veq_vo_vi_vi(vint x, vint y) { return _mm512_cmp_epi32_mask(_mm512_castsi256_si512(x), _mm512_castsi256_si512(y), _MM_CMPINT_EQ); } static INLINE vopmask vgt_vo_vi_vi(vint x, vint y) { return _mm512_cmp_epi32_mask(_mm512_castsi256_si512(y), _mm512_castsi256_si512(x), _MM_CMPINT_LT); } static INLINE vdouble vsel_vd_vo_vd_vd(vopmask mask, vdouble x, vdouble y) { return _mm512_mask_blend_pd(mask, y, x); } static INLINE CONST vdouble vsel_vd_vo_d_d(vopmask o, double v1, double v0) { return vsel_vd_vo_vd_vd(o, vcast_vd_d(v1), vcast_vd_d(v0)); } #if 1 // Probably this is faster static INLINE vdouble vsel_vd_vo_vo_vo_d_d_d_d(vopmask o0, vopmask o1, vopmask o2, double d0, double d1, double d2, double d3) { __m512i v = _mm512_castpd_si512(vsel_vd_vo_vd_vd(o0, _mm512_castsi512_pd(_mm512_set_epi64(0, 0, 0, 0, 0, 0, 0, 0)), vsel_vd_vo_vd_vd(o1, _mm512_castsi512_pd(_mm512_set_epi64(1, 1, 1, 1, 1, 1, 1, 1)), vsel_vd_vo_vd_vd(o2, _mm512_castsi512_pd(_mm512_set_epi64(2, 2, 2, 2, 2, 2, 2, 2)), _mm512_castsi512_pd(_mm512_set_epi64(3, 3, 3, 3, 3, 3, 3, 3)))))); return _mm512_permutexvar_pd(v, _mm512_castpd256_pd512(_mm256_set_pd(d3, d2, d1, d0))); } static INLINE vdouble vsel_vd_vo_vo_d_d_d(vopmask o0, vopmask o1, double d0, double d1, double d2) { return vsel_vd_vo_vo_vo_d_d_d_d(o0, o1, o1, d0, d1, d2, d2); } #else static INLINE vdouble vsel_vd_vo_vo_d_d_d(vopmask o0, vopmask o1, double d0, double d1, double d2) { return vsel_vd_vo_vd_vd(o0, vcast_vd_d(d0), vsel_vd_vo_d_d(o1, d1, d2)); } static INLINE vdouble vsel_vd_vo_vo_vo_d_d_d_d(vopmask o0, vopmask o1, vopmask o2, double d0, double d1, double d2, double d3) { return vsel_vd_vo_vd_vd(o0, vcast_vd_d(d0), vsel_vd_vo_vd_vd(o1, vcast_vd_d(d1), vsel_vd_vo_d_d(o2, d2, d3))); } #endif static INLINE vopmask visinf_vo_vd(vdouble d) { return _mm512_cmp_pd_mask(vabs_vd_vd(d), _mm512_set1_pd(SLEEF_INFINITY), _CMP_EQ_OQ); } static INLINE vopmask vispinf_vo_vd(vdouble d) { return _mm512_cmp_pd_mask(d, _mm512_set1_pd(SLEEF_INFINITY), _CMP_EQ_OQ); } static INLINE vopmask visminf_vo_vd(vdouble d) { return _mm512_cmp_pd_mask(d, _mm512_set1_pd(-SLEEF_INFINITY), _CMP_EQ_OQ); } static INLINE vopmask visnan_vo_vd(vdouble d) { return _mm512_cmp_pd_mask(d, d, _CMP_NEQ_UQ); } static INLINE vint vilogbk_vi_vd(vdouble d) { return vrint_vi_vd(_mm512_getexp_pd(d)); } // vilogb2k_vi_vd is similar to vilogbk_vi_vd, but the argument has to // be a normalized FP value. static INLINE vint vilogb2k_vi_vd(vdouble d) { return vrint_vi_vd(_mm512_getexp_pd(d)); } static INLINE vdouble vgetexp_vd_vd(vdouble d) { return _mm512_getexp_pd(d); } static INLINE vfloat vgetexp_vf_vf(vfloat d) { return _mm512_getexp_ps(d); } static INLINE vdouble vgetmant_vd_vd(vdouble d) { return _mm512_getmant_pd(d, _MM_MANT_NORM_p75_1p5, _MM_MANT_SIGN_nan); } static INLINE vfloat vgetmant_vf_vf(vfloat d) { return _mm512_getmant_ps(d, _MM_MANT_NORM_p75_1p5, _MM_MANT_SIGN_nan); } #define vfixup_vd_vd_vd_vi2_i(a, b, c, imm) _mm512_fixupimm_pd((a), (b), (c), (imm)) #define vfixup_vf_vf_vf_vi2_i(a, b, c, imm) _mm512_fixupimm_ps((a), (b), (c), (imm)) //@#define vfixup_vd_vd_vd_vi2_i(a, b, c, imm) _mm512_fixupimm_pd((a), (b), (c), (imm)) //@#define vfixup_vf_vf_vf_vi2_i(a, b, c, imm) _mm512_fixupimm_ps((a), (b), (c), (imm)) #if defined(_MSC_VER) // This function is needed when debugging on MSVC. static INLINE double vcast_d_vd(vdouble v) { double s[VECTLENDP]; _mm512_storeu_pd(s, v); return s[0]; } #endif static INLINE vdouble vload_vd_p(const double *ptr) { return _mm512_load_pd(ptr); } static INLINE vdouble vloadu_vd_p(const double *ptr) { return _mm512_loadu_pd(ptr); } static INLINE void vstore_v_p_vd(double *ptr, vdouble v) { _mm512_store_pd(ptr, v); } static INLINE void vstoreu_v_p_vd(double *ptr, vdouble v) { _mm512_storeu_pd(ptr, v); } static INLINE vdouble vgather_vd_p_vi(const double *ptr, vint vi) { return _mm512_i32gather_pd(vi, ptr, 8); } // static INLINE vint vsel_vi_vo_vi_vi(vopmask m, vint x, vint y) { return _mm512_castsi512_si256(_mm512_mask_blend_epi32(m, _mm512_castsi256_si512(y), _mm512_castsi256_si512(x))); } // static INLINE vmask vreinterpret_vm_vf(vfloat vf) { return _mm512_castps_si512(vf); } static INLINE vfloat vreinterpret_vf_vm(vmask vm) { return _mm512_castsi512_ps(vm); } static INLINE vfloat vreinterpret_vf_vi2(vint2 vi) { return _mm512_castsi512_ps(vi); } static INLINE vint2 vreinterpret_vi2_vf(vfloat vf) { return _mm512_castps_si512(vf); } static INLINE vdouble vreinterpret_vd_vf(vfloat vf) { return _mm512_castps_pd(vf); } static INLINE vfloat vreinterpret_vf_vd(vdouble vd) { return _mm512_castpd_ps(vd); } static INLINE vint2 vcast_vi2_vm(vmask vm) { return vm; } static INLINE vmask vcast_vm_vi2(vint2 vi) { return vi; } static INLINE vfloat vcast_vf_vi2(vint2 vi) { return _mm512_cvtepi32_ps(vcast_vm_vi2(vi)); } static INLINE vfloat vcast_vf_f(float f) { return _mm512_set1_ps(f); } static INLINE vint2 vcast_vi2_i(int i) { return _mm512_set1_epi32(i); } static INLINE vint2 vrint_vi2_vf(vfloat vf) { return vcast_vi2_vm(_mm512_cvtps_epi32(vf)); } static INLINE vint2 vtruncate_vi2_vf(vfloat vf) { return vcast_vi2_vm(_mm512_cvttps_epi32(vf)); } static INLINE vfloat vtruncate_vf_vf(vfloat vd) { return _mm512_roundscale_ps(vd, _MM_FROUND_TO_ZERO |_MM_FROUND_NO_EXC); } static INLINE vfloat vrint_vf_vf(vfloat vd) { return _mm512_roundscale_ps(vd, _MM_FROUND_TO_NEAREST_INT |_MM_FROUND_NO_EXC); } static INLINE vfloat vadd_vf_vf_vf(vfloat x, vfloat y) { return _mm512_add_ps(x, y); } static INLINE vfloat vsub_vf_vf_vf(vfloat x, vfloat y) { return _mm512_sub_ps(x, y); } static INLINE vfloat vmul_vf_vf_vf(vfloat x, vfloat y) { return _mm512_mul_ps(x, y); } static INLINE vfloat vdiv_vf_vf_vf(vfloat x, vfloat y) { return _mm512_div_ps(x, y); } static INLINE vfloat vrec_vf_vf(vfloat x) { return vdiv_vf_vf_vf(vcast_vf_f(1.0f), x); } static INLINE vfloat vsqrt_vf_vf(vfloat x) { return _mm512_sqrt_ps(x); } static INLINE vfloat vabs_vf_vf(vfloat f) { return vreinterpret_vf_vm(vandnot_vm_vm_vm(vreinterpret_vm_vf(vcast_vf_f(-0.0f)), vreinterpret_vm_vf(f))); } static INLINE vfloat vneg_vf_vf(vfloat d) { return vreinterpret_vf_vm(vxor_vm_vm_vm(vreinterpret_vm_vf(vcast_vf_f(-0.0f)), vreinterpret_vm_vf(d))); } static INLINE vfloat vmax_vf_vf_vf(vfloat x, vfloat y) { return _mm512_max_ps(x, y); } static INLINE vfloat vmin_vf_vf_vf(vfloat x, vfloat y) { return _mm512_min_ps(x, y); } #if CONFIG == 1 static INLINE vfloat vmla_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return _mm512_fmadd_ps(x, y, z); } static INLINE vfloat vmlapn_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return _mm512_fmsub_ps(x, y, z); } static INLINE vfloat vmlanp_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return _mm512_fnmadd_ps(x, y, z); } #else static INLINE vfloat vmla_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return vadd_vf_vf_vf(vmul_vf_vf_vf(x, y), z); } static INLINE vfloat vmlanp_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return vsub_vf_vf_vf(z, vmul_vf_vf_vf(x, y)); } static INLINE vfloat vmlapn_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return vsub_vf_vf_vf(vmul_vf_vf_vf(x, y), z); } #endif static INLINE vfloat vfma_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return _mm512_fmadd_ps(x, y, z); } static INLINE vfloat vfmapp_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return _mm512_fmadd_ps(x, y, z); } static INLINE vfloat vfmapn_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return _mm512_fmsub_ps(x, y, z); } static INLINE vfloat vfmanp_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return _mm512_fnmadd_ps(x, y, z); } static INLINE vfloat vfmann_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return _mm512_fnmsub_ps(x, y, z); } static INLINE vopmask veq_vo_vf_vf(vfloat x, vfloat y) { return _mm512_cmp_ps_mask(x, y, _CMP_EQ_OQ); } static INLINE vopmask vneq_vo_vf_vf(vfloat x, vfloat y) { return _mm512_cmp_ps_mask(x, y, _CMP_NEQ_UQ); } static INLINE vopmask vlt_vo_vf_vf(vfloat x, vfloat y) { return _mm512_cmp_ps_mask(x, y, _CMP_LT_OQ); } static INLINE vopmask vle_vo_vf_vf(vfloat x, vfloat y) { return _mm512_cmp_ps_mask(x, y, _CMP_LE_OQ); } static INLINE vopmask vgt_vo_vf_vf(vfloat x, vfloat y) { return _mm512_cmp_ps_mask(x, y, _CMP_GT_OQ); } static INLINE vopmask vge_vo_vf_vf(vfloat x, vfloat y) { return _mm512_cmp_ps_mask(x, y, _CMP_GE_OQ); } static INLINE vint2 vadd_vi2_vi2_vi2(vint2 x, vint2 y) { return _mm512_add_epi32(x, y); } static INLINE vint2 vsub_vi2_vi2_vi2(vint2 x, vint2 y) { return _mm512_sub_epi32(x, y); } static INLINE vint2 vneg_vi2_vi2(vint2 e) { return vsub_vi2_vi2_vi2(vcast_vi2_i(0), e); } static INLINE vint2 vand_vi2_vi2_vi2(vint2 x, vint2 y) { return _mm512_and_si512(x, y); } static INLINE vint2 vandnot_vi2_vi2_vi2(vint2 x, vint2 y) { return _mm512_andnot_si512(x, y); } static INLINE vint2 vor_vi2_vi2_vi2(vint2 x, vint2 y) { return _mm512_or_si512(x, y); } static INLINE vint2 vxor_vi2_vi2_vi2(vint2 x, vint2 y) { return _mm512_xor_si512(x, y); } static INLINE vint2 vand_vi2_vo_vi2(vopmask o, vint2 m) { return _mm512_mask_and_epi32(_mm512_set1_epi32(0), o, m, m); } static INLINE vint2 vandnot_vi2_vo_vi2(vopmask o, vint2 m) { return _mm512_mask_and_epi32(m, o, _mm512_set1_epi32(0), _mm512_set1_epi32(0)); } #define vsll_vi2_vi2_i(x, c) _mm512_slli_epi32(x, c) #define vsrl_vi2_vi2_i(x, c) _mm512_srli_epi32(x, c) #define vsra_vi2_vi2_i(x, c) _mm512_srai_epi32(x, c) //@#define vsll_vi2_vi2_i(x, c) _mm512_slli_epi32(x, c) //@#define vsrl_vi2_vi2_i(x, c) _mm512_srli_epi32(x, c) //@#define vsra_vi2_vi2_i(x, c) _mm512_srai_epi32(x, c) static INLINE vopmask veq_vo_vi2_vi2(vint2 x, vint2 y) { return _mm512_cmpeq_epi32_mask(x, y); } static INLINE vopmask vgt_vo_vi2_vi2(vint2 x, vint2 y) { return _mm512_cmpgt_epi32_mask(x, y); } static INLINE vint2 veq_vi2_vi2_vi2(vint2 x, vint2 y) { __mmask16 m = _mm512_cmp_epi32_mask(x, y, _MM_CMPINT_EQ); return _mm512_mask_and_epi32(_mm512_set1_epi32(0), m, _mm512_set1_epi32(-1), _mm512_set1_epi32(-1)); } static INLINE vint2 vgt_vi2_vi2_vi2(vint2 x, vint2 y) { __mmask16 m = _mm512_cmp_epi32_mask(y, x, _MM_CMPINT_LT); return _mm512_mask_and_epi32(_mm512_set1_epi32(0), m, _mm512_set1_epi32(-1), _mm512_set1_epi32(-1)); } static INLINE vint2 vsel_vi2_vo_vi2_vi2(vopmask m, vint2 x, vint2 y) { return _mm512_mask_blend_epi32(m, y, x); } static INLINE vfloat vsel_vf_vo_vf_vf(vopmask m, vfloat x, vfloat y) { return _mm512_mask_blend_ps(m, y, x); } // At this point, the following three functions are implemented in a generic way, // but I will try target-specific optimization later on. static INLINE CONST vfloat vsel_vf_vo_f_f(vopmask o, float v1, float v0) { return vsel_vf_vo_vf_vf(o, vcast_vf_f(v1), vcast_vf_f(v0)); } static INLINE vfloat vsel_vf_vo_vo_f_f_f(vopmask o0, vopmask o1, float d0, float d1, float d2) { return vsel_vf_vo_vf_vf(o0, vcast_vf_f(d0), vsel_vf_vo_f_f(o1, d1, d2)); } static INLINE vfloat vsel_vf_vo_vo_vo_f_f_f_f(vopmask o0, vopmask o1, vopmask o2, float d0, float d1, float d2, float d3) { return vsel_vf_vo_vf_vf(o0, vcast_vf_f(d0), vsel_vf_vo_vf_vf(o1, vcast_vf_f(d1), vsel_vf_vo_f_f(o2, d2, d3))); } static INLINE vopmask visinf_vo_vf(vfloat d) { return veq_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(SLEEF_INFINITYf)); } static INLINE vopmask vispinf_vo_vf(vfloat d) { return veq_vo_vf_vf(d, vcast_vf_f(SLEEF_INFINITYf)); } static INLINE vopmask visminf_vo_vf(vfloat d) { return veq_vo_vf_vf(d, vcast_vf_f(-SLEEF_INFINITYf)); } static INLINE vopmask visnan_vo_vf(vfloat d) { return vneq_vo_vf_vf(d, d); } static INLINE vint2 vilogbk_vi2_vf(vfloat d) { return vrint_vi2_vf(_mm512_getexp_ps(d)); } static INLINE vint2 vilogb2k_vi2_vf(vfloat d) { return vrint_vi2_vf(_mm512_getexp_ps(d)); } #ifdef _MSC_VER // This function is needed when debugging on MSVC. static INLINE float vcast_f_vf(vfloat v) { float s[VECTLENSP]; _mm512_storeu_ps(s, v); return s[0]; } #endif static INLINE vfloat vload_vf_p(const float *ptr) { return _mm512_load_ps(ptr); } static INLINE vfloat vloadu_vf_p(const float *ptr) { return _mm512_loadu_ps(ptr); } static INLINE void vstore_v_p_vf(float *ptr, vfloat v) { _mm512_store_ps(ptr, v); } static INLINE void vstoreu_v_p_vf(float *ptr, vfloat v) { _mm512_storeu_ps(ptr, v); } static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi2) { return _mm512_i32gather_ps(vi2, ptr, 4); } // static INLINE vdouble vposneg_vd_vd(vdouble d) { return vreinterpret_vd_vm(_mm512_mask_xor_epi32(vreinterpret_vm_vd(d), 0xcccc, vreinterpret_vm_vd(d), vreinterpret_vm_vd(_mm512_set1_pd(-0.0)))); } static INLINE vdouble vnegpos_vd_vd(vdouble d) { return vreinterpret_vd_vm(_mm512_mask_xor_epi32(vreinterpret_vm_vd(d), 0x3333, vreinterpret_vm_vd(d), vreinterpret_vm_vd(_mm512_set1_pd(-0.0)))); } static INLINE vfloat vposneg_vf_vf(vfloat d) { return vreinterpret_vf_vm(_mm512_mask_xor_epi32(vreinterpret_vm_vf(d), 0xaaaa, vreinterpret_vm_vf(d), vreinterpret_vm_vf(_mm512_set1_ps(-0.0f)))); } static INLINE vfloat vnegpos_vf_vf(vfloat d) { return vreinterpret_vf_vm(_mm512_mask_xor_epi32(vreinterpret_vm_vf(d), 0x5555, vreinterpret_vm_vf(d), vreinterpret_vm_vf(_mm512_set1_ps(-0.0f)))); } static INLINE vdouble vsubadd_vd_vd_vd(vdouble x, vdouble y) { return vadd_vd_vd_vd(x, vnegpos_vd_vd(y)); } static INLINE vfloat vsubadd_vf_vf_vf(vfloat x, vfloat y) { return vadd_vf_vf_vf(x, vnegpos_vf_vf(y)); } static INLINE vdouble vmlsubadd_vd_vd_vd_vd(vdouble x, vdouble y, vdouble z) { return _mm512_fmaddsub_pd(x, y, z); } static INLINE vfloat vmlsubadd_vf_vf_vf_vf(vfloat x, vfloat y, vfloat z) { return _mm512_fmaddsub_ps(x, y, z); } static INLINE vdouble vrev21_vd_vd(vdouble vd) { return _mm512_permute_pd(vd, 0x55); } static INLINE vdouble vreva2_vd_vd(vdouble vd) { return vreinterpret_vd_vm(_mm512_permutexvar_epi32(_mm512_set_epi32(3, 2, 1, 0, 7, 6, 5, 4, 11, 10, 9, 8, 15, 14, 13, 12), vreinterpret_vm_vd(vd))); } static INLINE void vstream_v_p_vd(double *ptr, vdouble v) { _mm512_stream_pd(ptr, v); } static INLINE void vscatter2_v_p_i_i_vd(double *ptr, int offset, int step, vdouble v) { _mm_store_pd(&ptr[(offset + step * 0)*2], _mm_castps_pd(_mm512_extractf32x4_ps(vreinterpret_vf_vd(v), 0))); _mm_store_pd(&ptr[(offset + step * 1)*2], _mm_castps_pd(_mm512_extractf32x4_ps(vreinterpret_vf_vd(v), 1))); _mm_store_pd(&ptr[(offset + step * 2)*2], _mm_castps_pd(_mm512_extractf32x4_ps(vreinterpret_vf_vd(v), 2))); _mm_store_pd(&ptr[(offset + step * 3)*2], _mm_castps_pd(_mm512_extractf32x4_ps(vreinterpret_vf_vd(v), 3))); } static INLINE void vsscatter2_v_p_i_i_vd(double *ptr, int offset, int step, vdouble v) { _mm_stream_pd(&ptr[(offset + step * 0)*2], _mm_castps_pd(_mm512_extractf32x4_ps(vreinterpret_vf_vd(v), 0))); _mm_stream_pd(&ptr[(offset + step * 1)*2], _mm_castps_pd(_mm512_extractf32x4_ps(vreinterpret_vf_vd(v), 1))); _mm_stream_pd(&ptr[(offset + step * 2)*2], _mm_castps_pd(_mm512_extractf32x4_ps(vreinterpret_vf_vd(v), 2))); _mm_stream_pd(&ptr[(offset + step * 3)*2], _mm_castps_pd(_mm512_extractf32x4_ps(vreinterpret_vf_vd(v), 3))); } // static INLINE vfloat vrev21_vf_vf(vfloat vf) { return _mm512_permute_ps(vf, 0xb1); } static INLINE vfloat vreva2_vf_vf(vfloat vf) { return vreinterpret_vf_vm(_mm512_permutexvar_epi32(_mm512_set_epi32(1, 0, 3, 2, 5, 4, 7, 6, 9, 8, 11, 10, 13, 12, 15, 14), vreinterpret_vm_vf(vf))); } static INLINE void vstream_v_p_vf(float *ptr, vfloat v) { _mm512_stream_ps(ptr, v); } static INLINE void vscatter2_v_p_i_i_vf(float *ptr, int offset, int step, vfloat v) { _mm_storel_pd((double *)(ptr+(offset + step * 0)*2), _mm_castps_pd(_mm512_extractf32x4_ps(v, 0))); _mm_storeh_pd((double *)(ptr+(offset + step * 1)*2), _mm_castps_pd(_mm512_extractf32x4_ps(v, 0))); _mm_storel_pd((double *)(ptr+(offset + step * 2)*2), _mm_castps_pd(_mm512_extractf32x4_ps(v, 1))); _mm_storeh_pd((double *)(ptr+(offset + step * 3)*2), _mm_castps_pd(_mm512_extractf32x4_ps(v, 1))); _mm_storel_pd((double *)(ptr+(offset + step * 4)*2), _mm_castps_pd(_mm512_extractf32x4_ps(v, 2))); _mm_storeh_pd((double *)(ptr+(offset + step * 5)*2), _mm_castps_pd(_mm512_extractf32x4_ps(v, 2))); _mm_storel_pd((double *)(ptr+(offset + step * 6)*2), _mm_castps_pd(_mm512_extractf32x4_ps(v, 3))); _mm_storeh_pd((double *)(ptr+(offset + step * 7)*2), _mm_castps_pd(_mm512_extractf32x4_ps(v, 3))); } static INLINE void vsscatter2_v_p_i_i_vf(float *ptr, int offset, int step, vfloat v) { vscatter2_v_p_i_i_vf(ptr, offset, step, v); } // static vquad loadu_vq_p(void *p) { vquad vq; memcpy(&vq, p, VECTLENDP * 16); return vq; } static INLINE vquad cast_vq_aq(vargquad aq) { vquad vq; memcpy(&vq, &aq, VECTLENDP * 16); return vq; } static INLINE vargquad cast_aq_vq(vquad vq) { vargquad aq; memcpy(&aq, &vq, VECTLENDP * 16); return aq; } #ifdef __INTEL_COMPILER static INLINE int vtestallzeros_i_vo64(vopmask g) { return _mm512_mask2int(g) == 0; } #else static INLINE int vtestallzeros_i_vo64(vopmask g) { return g == 0; } #endif static INLINE vmask vsel_vm_vo64_vm_vm(vopmask m, vmask x, vmask y) { return _mm512_mask_blend_epi64(m, y, x); } static INLINE vmask vsub64_vm_vm_vm(vmask x, vmask y) { return _mm512_sub_epi64(x, y); } static INLINE vmask vneg64_vm_vm(vmask x) { return _mm512_sub_epi64(vcast_vm_i_i(0, 0), x); } static INLINE vopmask vgt64_vo_vm_vm(vmask x, vmask y) { return _mm512_cmp_epi64_mask(y, x, _MM_CMPINT_LT); } // signed compare #define vsll64_vm_vm_i(x, c) _mm512_slli_epi64(x, c) #define vsrl64_vm_vm_i(x, c) _mm512_srli_epi64(x, c) //@#define vsll64_vm_vm_i(x, c) _mm512_slli_epi64(x, c) //@#define vsrl64_vm_vm_i(x, c) _mm512_srli_epi64(x, c) static INLINE vmask vcast_vm_vi(vint vi) { return _mm512_cvtepi32_epi64(vi); } static INLINE vint vcast_vi_vm(vmask vm) { return _mm512_cvtepi64_epi32(vm); } static INLINE vmask vreinterpret_vm_vi64(vint64 v) { return v; } static INLINE vint64 vreinterpret_vi64_vm(vmask m) { return m; } static INLINE vmask vreinterpret_vm_vu64(vuint64 v) { return v; } static INLINE vuint64 vreinterpret_vu64_vm(vmask m) { return m; }