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Grid/Grid_vComplexF.h
Peter Boyle 8f5281563e "where" and integer comparisons logic implemented for conditional
assignment. LatticeCoordinate helper to get global (reduced) coordinate.

Some more work of similar type perhaps needed, but the bulk of the required
structure for masked array assignment is now in place.
2015-04-09 08:06:03 +02:00

379 lines
13 KiB
C++

#ifndef VCOMPLEXF
#define VCOMPLEXF
#include "Grid.h"
namespace Grid {
class vComplexF {
// protected:
public:
cvec v;
public:
static inline int Nsimd(void) { return sizeof(cvec)/sizeof(float)/2;}
public:
typedef cvec vector_type;
typedef ComplexF scalar_type;
vComplexF & operator = ( Zero & z){
vzero(*this);
return (*this);
}
vComplexF(){};
vComplexF(ComplexF a){
vsplat(*this,a);
};
vComplexF(double a){
vsplat(*this,ComplexF(a));
};
///////////////////////////////////////////////
// mac, mult, sub, add, adj
// Should do an AVX2 version with mac.
///////////////////////////////////////////////
friend inline void mac (vComplexF * __restrict__ y,const vComplexF * __restrict__ a,const vComplexF *__restrict__ x){ *y = (*a)*(*x)+(*y); };
friend inline void mult(vComplexF * __restrict__ y,const vComplexF * __restrict__ l,const vComplexF *__restrict__ r){ *y = (*l) * (*r); }
friend inline void sub (vComplexF * __restrict__ y,const vComplexF * __restrict__ l,const vComplexF *__restrict__ r){ *y = (*l) - (*r); }
friend inline void add (vComplexF * __restrict__ y,const vComplexF * __restrict__ l,const vComplexF *__restrict__ r){ *y = (*l) + (*r); }
friend inline vComplexF adj(const vComplexF &in){ return conj(in); }
//////////////////////////////////
// Initialise to 1,0,i
//////////////////////////////////
friend inline void vone(vComplexF &ret) { vsplat(ret,1.0,0.0); }
friend inline void vzero(vComplexF &ret) { vsplat(ret,0.0,0.0); }
friend inline void vcomplex_i(vComplexF &ret){ vsplat(ret,0.0,1.0);}
////////////////////////////////////
// Arithmetic operator overloads +,-,*
////////////////////////////////////
friend inline vComplexF operator + (vComplexF a, vComplexF b)
{
vComplexF ret;
#if defined (AVX1)|| defined (AVX2)
ret.v = _mm256_add_ps(a.v,b.v);
#endif
#ifdef SSE2
ret.v = _mm_add_ps(a.v,b.v);
#endif
#ifdef AVX512
ret.v = _mm512_add_ps(a.v,b.v);
#endif
#ifdef QPX
#error
#endif
return ret;
};
friend inline vComplexF operator - (vComplexF a, vComplexF b)
{
vComplexF ret;
#if defined (AVX1)|| defined (AVX2)
ret.v = _mm256_sub_ps(a.v,b.v);
#endif
#ifdef SSE2
ret.v = _mm_sub_ps(a.v,b.v);
#endif
#ifdef AVX512
ret.v = _mm512_sub_ps(a.v,b.v);
#endif
#ifdef QPX
#error
#endif
return ret;
};
friend inline vComplexF operator * (vComplexF a, vComplexF b)
{
vComplexF ret;
//Multiplicationof (ak+ibk)*(ck+idk)
// a + i b can be stored as a data structure
//From intel optimisation reference
/*
movsldup xmm0, Src1; load real parts into the destination,
; a1, a1, a0, a0
movaps xmm1, src2; load the 2nd pair of complex values, ; i.e. d1, c1, d0, c0
mulps xmm0, xmm1; temporary results, a1d1, a1c1, a0d0, ; a0c0
shufps xmm1, xmm1, b1; reorder the real and imaginary ; parts, c1, d1, c0, d0
movshdup xmm2, Src1; load the imaginary parts into the ; destination, b1, b1, b0, b0
mulps xmm2, xmm1; temporary results, b1c1, b1d1, b0c0, ; b0d0
addsubps xmm0, xmm2; b1c1+a1d1, a1c1 -b1d1, b0c0+a0d
*/
#if defined (AVX1)|| defined (AVX2)
cvec ymm0,ymm1,ymm2;
ymm0 = _mm256_shuffle_ps(a.v,a.v,_MM_SHUFFLE(2,2,0,0)); // ymm0 <- ar ar,
ymm0 = _mm256_mul_ps(ymm0,b.v); // ymm0 <- ar bi, ar br
// FIXME AVX2 could MAC
ymm1 = _mm256_shuffle_ps(b.v,b.v,_MM_SHUFFLE(2,3,0,1)); // ymm1 <- br,bi
ymm2 = _mm256_shuffle_ps(a.v,a.v,_MM_SHUFFLE(3,3,1,1)); // ymm2 <- ai,ai
ymm1 = _mm256_mul_ps(ymm1,ymm2); // ymm1 <- br ai, ai bi
ret.v= _mm256_addsub_ps(ymm0,ymm1); // FIXME -- AVX2 could MAC
#endif
#ifdef SSE2
cvec ymm0,ymm1,ymm2;
ymm0 = _mm_shuffle_ps(a.v,a.v,_MM_SHUFFLE(2,2,0,0)); // ymm0 <- ar ar,
ymm0 = _mm_mul_ps(ymm0,b.v); // ymm0 <- ar bi, ar br
ymm1 = _mm_shuffle_ps(b.v,b.v,_MM_SHUFFLE(2,3,0,1)); // ymm1 <- br,bi
ymm2 = _mm_shuffle_ps(a.v,a.v,_MM_SHUFFLE(3,3,1,1)); // ymm2 <- ai,ai
ymm1 = _mm_mul_ps(ymm1,ymm2); // ymm1 <- br ai, ai bi
ret.v= _mm_addsub_ps(ymm0,ymm1);
#endif
#ifdef AVX512
//
cvec vzero,ymm0,ymm1,real, imag;
vzero = _mm512_setzero();
ymm0 = _mm512_swizzle_ps(a.v, _MM_SWIZ_REG_CDAB); //
real = _mm512_mask_or_epi32(a.v, 0xAAAA,vzero, ymm0);
imag = _mm512_mask_sub_ps(a.v, 0x5555,vzero, ymm0);
ymm1 = _mm512_mul_ps(real, b.v);
ymm0 = _mm512_swizzle_ps(b.v, _MM_SWIZ_REG_CDAB); // OK
ret.v = _mm512_fmadd_ps(ymm0,imag,ymm1);
#endif
#ifdef QPX
ret.v = vec_mul(a.v,b.v);
#endif
return ret;
};
////////////////////////////////////////////////////////////////////////
// FIXME: gonna remove these load/store, get, set, prefetch
////////////////////////////////////////////////////////////////////////
friend inline void vset(vComplexF &ret, Complex *a){
#if defined (AVX1)|| defined (AVX2)
ret.v = _mm256_set_ps(a[3].imag(),a[3].real(),a[2].imag(),a[2].real(),a[1].imag(),a[1].real(),a[0].imag(),a[0].real());
#endif
#ifdef SSE2
ret.v = _mm_set_ps(a[1].imag, a[1].real(),a[0].imag(),a[0].real());
#endif
#ifdef AVX512
ret.v = _mm512_set_ps(a[7].imag(),a[7].real(),a[6].imag(),a[6].real(),a[5].imag(),a[5].real(),a[4].imag(),a[4].real(),a[3].imag(),a[3].real(),a[2].imag(),a[2].real(),a[1].imag(),a[1].real(),a[0].imag(),a[0].real());
// Note v has a0 a1 a2 a3 a4 a5 a6 a7
#endif
#ifdef QPX
ret.v = {a[0].real(),a[0].imag(),a[1].real(),a[1].imag(),a[2].real(),a[2].imag(),a[3].real(),a[3].imag()};
#endif
}
///////////////////////
// Splat
///////////////////////
friend inline void vsplat(vComplexF &ret,ComplexF c){
float a= real(c);
float b= imag(c);
vsplat(ret,a,b);
}
friend inline void vstore(const vComplexF &ret, ComplexF *a){
#if defined (AVX1)|| defined (AVX2)
_mm256_store_ps((float *)a,ret.v);
#endif
#ifdef SSE2
_mm_store_ps((float *)a,ret.v);
#endif
#ifdef AVX512
_mm512_store_ps((float *)a,ret.v);
//Note v has a3 a2 a1 a0
#endif
#ifdef QPX
assert(0);
#endif
}
friend inline void vprefetch(const vComplexF &v)
{
_mm_prefetch((const char*)&v.v,_MM_HINT_T0);
}
friend inline void vsplat(vComplexF &ret,float a,float b){
#if defined (AVX1)|| defined (AVX2)
ret.v = _mm256_set_ps(b,a,b,a,b,a,b,a);
#endif
#ifdef SSE2
ret.v = _mm_set_ps(a,b,a,b);
#endif
#ifdef AVX512
ret.v = _mm512_set_ps(b,a,b,a,b,a,b,a,b,a,b,a,b,a,b,a);
#endif
#ifdef QPX
ret.v = {a,b,a,b};
#endif
}
friend inline ComplexF Reduce(const vComplexF & in)
{
#if defined (AVX1) || defined(AVX2)
__attribute__ ((aligned(32))) float c_[8];
_mm256_store_ps(c_,in.v);
return ComplexF(c_[0]+c_[2]+c_[4]+c_[6],c_[1]+c_[3]+c_[5]+c_[7]);
#endif
#ifdef AVX512
return ComplexF(_mm512_mask_reduce_add_ps(0x5555, in.v),_mm512_mask_reduce_add_ps(0xAAAA, in.v));
#endif
#ifdef QPX
#endif
}
friend inline vComplexF operator * (const Complex &a, vComplexF b){
vComplexF va;
vsplat(va,a);
return va*b;
}
friend inline vComplexF operator * (vComplexF b,const Complex &a){
return a*b;
}
/*
template<class real>
friend inline vComplexF operator * (vComplexF b,const real &a){
vComplexF va;
Complex ca(a,0);
vsplat(va,ca);
return va*b;
}
template<class real>
friend inline vComplexF operator * (const real &a,vComplexF b){
return a*b;
}
friend inline vComplexF operator + (const Complex &a, vComplexF b){
vComplexF va;
vsplat(va,a);
return va+b;
}
friend inline vComplexF operator + (vComplexF b,const Complex &a){
return a+b;
}
template<class real>
friend inline vComplexF operator + (vComplexF b,const real &a){
vComplexF va;
Complex ca(a,0);
vsplat(va,ca);
return va+b;
}
template<class real>
friend inline vComplexF operator + (const real &a,vComplexF b){
return a+b;
}
friend inline vComplexF operator - (const Complex &a, vComplexF b){
vComplexF va;
vsplat(va,a);
return va-b;
}
friend inline vComplexF operator - (vComplexF b,const Complex &a){
vComplexF va;
vsplat(va,a);
return b-va;
}
template<class real>
friend inline vComplexF operator - (vComplexF b,const real &a){
vComplexF va;
Complex ca(a,0);
vsplat(va,ca);
return b-va;
}
template<class real>
friend inline vComplexF operator - (const real &a,vComplexF b){
vComplexF va;
Complex ca(a,0);
vsplat(va,ca);
return va-b;
}
*/
// NB: Template the following on "type Complex" and then implement *,+,- for
// ComplexF, ComplexD, RealF, RealD above to
// get full generality of binops with scalars.
friend inline void mac (vComplexF *__restrict__ y,const Complex *__restrict__ a,const vComplexF *__restrict__ x){ *y = (*a)*(*x)+(*y); };
friend inline void mult(vComplexF *__restrict__ y,const Complex *__restrict__ l,const vComplexF *__restrict__ r){ *y = (*l) * (*r); }
friend inline void sub (vComplexF *__restrict__ y,const Complex *__restrict__ l,const vComplexF *__restrict__ r){ *y = (*l) - (*r); }
friend inline void add (vComplexF *__restrict__ y,const Complex *__restrict__ l,const vComplexF *__restrict__ r){ *y = (*l) + (*r); }
friend inline void mac (vComplexF *__restrict__ y,const vComplexF *__restrict__ a,const Complex *__restrict__ x){ *y = (*a)*(*x)+(*y); };
friend inline void mult(vComplexF *__restrict__ y,const vComplexF *__restrict__ l,const Complex *__restrict__ r){ *y = (*l) * (*r); }
friend inline void sub (vComplexF *__restrict__ y,const vComplexF *__restrict__ l,const Complex *__restrict__ r){ *y = (*l) - (*r); }
friend inline void add (vComplexF *__restrict__ y,const vComplexF *__restrict__ l,const Complex *__restrict__ r){ *y = (*l) + (*r); }
///////////////////////
// Conjugate
///////////////////////
friend inline vComplexF conj(const vComplexF &in){
vComplexF ret ; vzero(ret);
#if defined (AVX1)|| defined (AVX2)
cvec tmp;
tmp = _mm256_addsub_ps(ret.v,_mm256_shuffle_ps(in.v,in.v,_MM_SHUFFLE(2,3,0,1))); // ymm1 <- br,bi
ret.v=_mm256_shuffle_ps(tmp,tmp,_MM_SHUFFLE(2,3,0,1));
#endif
#ifdef SSE2
ret.v = _mm_addsub_ps(ret.v,in.v);
#endif
#ifdef AVX512
ret.v = _mm512_mask_sub_ps(in.v,0xaaaa,ret.v,in.v); // Zero out 0+real 0-imag
#endif
#ifdef QPX
assert(0);
#endif
return ret;
}
// Unary negation
friend inline vComplexF operator -(const vComplexF &r) {
vComplexF ret;
vzero(ret);
ret = ret - r;
return ret;
}
// *=,+=,-= operators
inline vComplexF &operator *=(const vComplexF &r) {
*this = (*this)*r;
return *this;
}
inline vComplexF &operator +=(const vComplexF &r) {
*this = *this+r;
return *this;
}
inline vComplexF &operator -=(const vComplexF &r) {
*this = *this-r;
return *this;
}
friend inline void permute(vComplexF &y,vComplexF b,int perm)
{
Gpermute<vComplexF>(y,b,perm);
}
friend inline void merge(vComplexF &y,std::vector<ComplexF *> &extracted)
{
Gmerge<vComplexF,ComplexF >(y,extracted);
}
friend inline void extract(const vComplexF &y,std::vector<ComplexF *> &extracted)
{
Gextract<vComplexF,ComplexF>(y,extracted);
}
friend inline void merge(vComplexF &y,std::vector<ComplexF > &extracted)
{
Gmerge<vComplexF,ComplexF >(y,extracted);
}
friend inline void extract(const vComplexF &y,std::vector<ComplexF > &extracted)
{
Gextract<vComplexF,ComplexF>(y,extracted);
}
};
inline vComplexF localInnerProduct(const vComplexF & l, const vComplexF & r) { return conj(l)*r; }
typedef vComplexF vFComplex;
typedef vComplexF vComplex;
inline void zeroit(vComplexF &z){ vzero(z);}
inline vComplexF outerProduct(const vComplexF &l, const vComplexF& r)
{
return l*r;
}
}
#endif