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📄 fvec.h

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/***
*** Copyright (C) 1985-1999 Intel Corporation.  All rights reserved.
***
*** The information and source code contained herein is the exclusive
*** property of Intel Corporation and may not be disclosed, examined
*** or reproduced in whole or in part without explicit written authorization
*** from the company.
***
****/

/*
 *  Definition of a C++ class interface to Streaming SIMD Extension intrinsics.
 *
 *
 *      File name : fvec.h  Fvec class definitions
 *
 *      Concept: A C++ abstraction of Streaming SIMD Extensions designed to improve
 *
 *  programmer productivity.  Speed and accuracy are sacrificed for utility.
 *
 *      Facilitates an easy transition to compiler intrinsics
 *
 *      or assembly language.
 *
 *      F32vec4:        4 packed single precision
 *                              32-bit floating point numbers
*/

#ifndef _FVEC_H_INCLUDED
#define _FVEC_H_INCLUDED
#ifndef RC_INVOKED

#if !defined __cplusplus
        #error ERROR: This file is only supported in C++ compilations!
#endif  /* !defined __cplusplus */

#if defined (_M_CEE_PURE)
        #error ERROR: This file is not supported in the pure mode!
#else  /* defined (_M_CEE_PURE) */

#include <xmmintrin.h> /* Streaming SIMD Extensions Intrinsics include file */
#include <ivec.h>
#include <crtdefs.h>

#ifndef _VEC_ASSERT
#ifdef NDEBUG
        #define _VEC_ASSERT(_Expression) ((void)0)
#else  /* NDEBUG */
#ifdef __cplusplus
            extern "C" {
#endif  /* __cplusplus */

        _CRTIMP void __cdecl _wassert(_In_z_ const wchar_t * _Message, _In_z_ const wchar_t *_File, _In_ unsigned _Line);

#ifdef __cplusplus
            }
#endif  /* __cplusplus */

        #define _VEC_ASSERT(_Expression) (void)( (!!(_Expression)) || (_wassert(_CRT_WIDE(#_Expression), _CRT_WIDE(__FILE__), __LINE__), 0) )
#endif  /* NDEBUG */
#endif  /* _VEC_ASSERT */

/* Define _ENABLE_VEC_DEBUG to enable std::ostream inserters for debug output */
#if defined (_ENABLE_VEC_DEBUG)
        #include <iostream>
#endif  /* defined (_ENABLE_VEC_DEBUG) */

#ifdef _MSC_VER
#pragma pack(push,_CRT_PACKING)
#endif  /* _MSC_VER */

#pragma pack(push,16) /* Must ensure class & union 16-B aligned */

class F32vec4
{
protected:
         __m128 vec;
public:

        /* Constructors: __m128, 4 floats, 1 float */
        F32vec4() {}

        /* initialize 4 SP FP with __m128 data type */
        F32vec4(__m128 m)                                       { vec = m;}

        /* initialize 4 SP FPs with 4 floats */
        F32vec4(float f3, float f2, float f1, float f0)         { vec= _mm_set_ps(f3,f2,f1,f0); }

        /* Explicitly initialize each of 4 SP FPs with same float */
        explicit F32vec4(float f)       { vec = _mm_set_ps1(f); }

        /* Explicitly initialize each of 4 SP FPs with same double */
        explicit F32vec4(double d)      { vec = _mm_set_ps1((float) d); }

        /* Assignment operations */

        F32vec4& operator =(float f) { vec = _mm_set_ps1(f); return *this; }

        F32vec4& operator =(double d) { vec = _mm_set_ps1((float) d); return *this; }

        /* Conversion functions */
        operator  __m128() const        { return vec; }         /* Convert to __m128 */

        /* Logical Operators */
        friend F32vec4 operator &(const F32vec4 &a, const F32vec4 &b) { return _mm_and_ps(a,b); }
        friend F32vec4 operator |(const F32vec4 &a, const F32vec4 &b) { return _mm_or_ps(a,b); }
        friend F32vec4 operator ^(const F32vec4 &a, const F32vec4 &b) { return _mm_xor_ps(a,b); }

        /* Arithmetic Operators */
        friend F32vec4 operator +(const F32vec4 &a, const F32vec4 &b) { return _mm_add_ps(a,b); }
        friend F32vec4 operator -(const F32vec4 &a, const F32vec4 &b) { return _mm_sub_ps(a,b); }
        friend F32vec4 operator *(const F32vec4 &a, const F32vec4 &b) { return _mm_mul_ps(a,b); }
        friend F32vec4 operator /(const F32vec4 &a, const F32vec4 &b) { return _mm_div_ps(a,b); }

        F32vec4& operator =(const F32vec4 &a) { vec = a.vec; return *this; }
        F32vec4& operator =(const __m128 &avec) { vec = avec; return *this; }
        F32vec4& operator +=(F32vec4 &a) { return *this = _mm_add_ps(vec,a); }
        F32vec4& operator -=(F32vec4 &a) { return *this = _mm_sub_ps(vec,a); }
        F32vec4& operator *=(F32vec4 &a) { return *this = _mm_mul_ps(vec,a); }
        F32vec4& operator /=(F32vec4 &a) { return *this = _mm_div_ps(vec,a); }
        F32vec4& operator &=(F32vec4 &a) { return *this = _mm_and_ps(vec,a); }
        F32vec4& operator |=(F32vec4 &a) { return *this = _mm_or_ps(vec,a); }
        F32vec4& operator ^=(F32vec4 &a) { return *this = _mm_xor_ps(vec,a); }

        /* Horizontal Add */
        friend float add_horizontal(F32vec4 &a)
        {
                F32vec4 ftemp = _mm_add_ss(a,_mm_add_ss(_mm_shuffle_ps(a, a, 1),_mm_add_ss(_mm_shuffle_ps(a, a, 2),_mm_shuffle_ps(a, a, 3))));
                return ftemp[0];
        }

        /* Square Root */
        friend F32vec4 sqrt(const F32vec4 &a)           { return _mm_sqrt_ps(a); }
        /* Reciprocal */
        friend F32vec4 rcp(const F32vec4 &a)            { return _mm_rcp_ps(a); }
        /* Reciprocal Square Root */
        friend F32vec4 rsqrt(const F32vec4 &a)          { return _mm_rsqrt_ps(a); }

        /* NewtonRaphson Reciprocal
           [2 * rcpps(x) - (x * rcpps(x) * rcpps(x))] */
        friend F32vec4 rcp_nr(const F32vec4 &a)
        {
                F32vec4 Ra0 = _mm_rcp_ps(a);
                return _mm_sub_ps(_mm_add_ps(Ra0, Ra0), _mm_mul_ps(_mm_mul_ps(Ra0, a), Ra0));
        }

        /*      NewtonRaphson Reciprocal Square Root
                0.5 * rsqrtps * (3 - x * rsqrtps(x) * rsqrtps(x)) */
#pragma warning(push)
#pragma warning(disable : 4640)
        friend F32vec4 rsqrt_nr(const F32vec4 &a)
        {
                static const F32vec4 fvecf0pt5(0.5f);
                static const F32vec4 fvecf3pt0(3.0f);
                F32vec4 Ra0 = _mm_rsqrt_ps(a);
                return (fvecf0pt5 * Ra0) * (fvecf3pt0 - (a * Ra0) * Ra0);
        }
#pragma warning(pop)

        /* Compares: Mask is returned  */
        /* Macros expand to all compare intrinsics.  Example:
        friend F32vec4 cmpeq(const F32vec4 &a, const F32vec4 &b)
        { return _mm_cmpeq_ps(a,b);} */
        #define Fvec32s4_COMP(op) \
        friend F32vec4 cmp##op (const F32vec4 &a, const F32vec4 &b) { return _mm_cmp##op##_ps(a,b); }
                Fvec32s4_COMP(eq)                                       /* expanded to cmpeq(a,b) */
                Fvec32s4_COMP(lt)                                       /* expanded to cmplt(a,b) */
                Fvec32s4_COMP(le)                                       /* expanded to cmple(a,b) */
                Fvec32s4_COMP(gt)                                       /* expanded to cmpgt(a,b) */
                Fvec32s4_COMP(ge)                                       /* expanded to cmpge(a,b) */
                Fvec32s4_COMP(neq)                                      /* expanded to cmpneq(a,b) */
                Fvec32s4_COMP(nlt)                                      /* expanded to cmpnlt(a,b) */
                Fvec32s4_COMP(nle)                                      /* expanded to cmpnle(a,b) */
                Fvec32s4_COMP(ngt)                                      /* expanded to cmpngt(a,b) */
                Fvec32s4_COMP(nge)                                      /* expanded to cmpnge(a,b) */
        #undef Fvec32s4_COMP

        /* Min and Max */
        friend F32vec4 simd_min(const F32vec4 &a, const F32vec4 &b) { return _mm_min_ps(a,b); }
        friend F32vec4 simd_max(const F32vec4 &a, const F32vec4 &b) { return _mm_max_ps(a,b); }

        /* Debug Features */
#if defined (_ENABLE_VEC_DEBUG)
        /* Output */
        friend std::ostream & operator<<(std::ostream & os, const F32vec4 &a)
        {
        /* To use: cout << "Elements of F32vec4 fvec are: " << fvec; */
          float *fp = (float*)&a;
                os << "[3]:" << *(fp+3)
                        << " [2]:" << *(fp+2)
                        << " [1]:" << *(fp+1)
                        << " [0]:" << *fp;
                return os;
        }
#endif  /* defined (_ENABLE_VEC_DEBUG) */
        /* Element Access Only, no modifications to elements*/
        const float& operator[](int i) const
        {
                /* Assert enabled only during debug /DDEBUG */
                _VEC_ASSERT((0 <= i) && (i <= 3));                      /* User should only access elements 0-3 */
                float *fp = (float*)&vec;
                return *(fp+i);
        }
        /* Element Access and Modification*/
        float& operator[](int i)
        {
                /* Assert enabled only during debug /DDEBUG */
                _VEC_ASSERT((0 <= i) && (i <= 3));                      /* User should only access elements 0-3 */
                float *fp = (float*)&vec;
                return *(fp+i);
        }
};

                                                /* Miscellaneous */

/* Interleave low order data elements of a and b into destination */
inline F32vec4 unpack_low(const F32vec4 &a, const F32vec4 &b)
{ return _mm_unpacklo_ps(a, b); }

/* Interleave high order data elements of a and b into target */
inline F32vec4 unpack_high(const F32vec4 &a, const F32vec4 &b)
{ return _mm_unpackhi_ps(a, b); }

/* Move Mask to Integer returns 4 bit mask formed of most significant bits of a */
inline int move_mask(const F32vec4 &a)
{ return _mm_movemask_ps(a);}

                                                /* Data Motion Functions */

/* Load Unaligned loadu_ps: Unaligned */
inline void loadu(F32vec4 &a, float *p)
{ a = _mm_loadu_ps(p); }

/* Store Temporal storeu_ps: Unaligned */
inline void storeu(float *p, const F32vec4 &a)
{ _mm_storeu_ps(p, a); }

                                                /* Cacheability Support */

/* Non-Temporal Store */
inline void store_nta(float *p, F32vec4 &a)
{ _mm_stream_ps(p,a);}

                                                /* Conditional Selects:*/
/*(a OP b)? c : d; where OP is any compare operator
Macros expand to conditional selects which use all compare intrinsics.
Example:
friend F32vec4 select_eq(const F32vec4 &a, const F32vec4 &b, const F32vec4 &c, const F32vec4 &d)

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