__m128 test_mm_cvtpd_ps(__m128d A) {
// DAG-LABEL: test_mm_cvtpd_ps
// DAG: call <4 x float> @llvm.x86.sse2.cvtpd2ps
//
// ASM-LABEL: test_mm_cvtpd_ps
// ASM: cvtpd2ps
return _mm_cvtpd_ps(A);
}
// Conversions
SIMDValue SIMDFloat32x4Operation::OpFromFloat64x2(const SIMDValue& value)
{
X86SIMDValue x86Result;
X86SIMDValue v = X86SIMDValue::ToX86SIMDValue(value);
// Converts the two double-precision, floating-point values of v.m128d_value
// to single-precision, floating-point values.
x86Result.m128_value = _mm_cvtpd_ps(v.m128d_value);
return X86SIMDValue::ToSIMDValue(x86Result);
}
static inline __m128d
my_invrsq_pd(__m128d x)
{
const __m128d three = {3.0, 3.0};
const __m128d half = {0.5, 0.5};
__m128 t = _mm_rsqrt_ps(_mm_cvtpd_ps(x)); /* Convert to single precision and do _mm_rsqrt_ps() */
__m128d t1 = _mm_cvtps_pd(t); /* Convert back to double precision */
/* First Newton-Rapson step, accuracy is now 24 bits */
__m128d t2 = _mm_mul_pd(half,_mm_mul_pd(t1,_mm_sub_pd(three,_mm_mul_pd(x,_mm_mul_pd(t1,t1)))));
/* Return second Newton-Rapson step, accuracy 48 bits */
return _mm_mul_pd(half,_mm_mul_pd(t2,_mm_sub_pd(three,_mm_mul_pd(x,_mm_mul_pd(t2,t2)))));
}
// =============================================================================
//
// sse3_vChirpData
// version by: Alex Kan
// http://tbp.berkeley.edu/~alexkan/seti/
//
int sse3_ChirpData_ak(
sah_complex * cx_DataArray,
sah_complex * cx_ChirpDataArray,
int chirp_rate_ind,
double chirp_rate,
int ul_NumDataPoints,
double sample_rate
) {
int i;
if (chirp_rate_ind == 0) {
memcpy(cx_ChirpDataArray, cx_DataArray, (int)ul_NumDataPoints * sizeof(sah_complex) );
return 0;
}
int vEnd;
double srate = chirp_rate * 0.5 / (sample_rate * sample_rate);
__m128d rate = _mm_set1_pd(chirp_rate * 0.5 / (sample_rate * sample_rate));
__m128d roundVal = _mm_set1_pd(srate >= 0.0 ? TWO_TO_52 : -TWO_TO_52);
// main vectorised loop
vEnd = ul_NumDataPoints - (ul_NumDataPoints & 3);
for (i = 0; i < vEnd; i += 4) {
const float *data = (const float *) (cx_DataArray + i);
float *chirped = (float *) (cx_ChirpDataArray + i);
__m128d di = _mm_set1_pd(i);
__m128d a1 = _mm_add_pd(_mm_set_pd(1.0, 0.0), di);
__m128d a2 = _mm_add_pd(_mm_set_pd(3.0, 2.0), di);
__m128 d1, d2;
__m128 cd1, cd2;
__m128 td1, td2;
__m128 x;
__m128 y;
__m128 s;
__m128 c;
__m128 m;
// load the signal to be chirped
prefetchnta((const void *)( data+32 ));
d1 = _mm_load_ps(data);
d2 = _mm_load_ps(data+4);
// calculate the input angle
a1 = _mm_mul_pd(_mm_mul_pd(a1, a1), rate);
a2 = _mm_mul_pd(_mm_mul_pd(a2, a2), rate);
// reduce the angle to the range (-0.5, 0.5)
a1 = _mm_sub_pd(a1, _mm_sub_pd(_mm_add_pd(a1, roundVal), roundVal));
a2 = _mm_sub_pd(a2, _mm_sub_pd(_mm_add_pd(a2, roundVal), roundVal));
// convert pair of packed double into packed single
x = _mm_movelh_ps(_mm_cvtpd_ps(a1), _mm_cvtpd_ps(a2));
// square to the range [0, 0.25)
y = _mm_mul_ps(x, x);
// perform the initial polynomial approximations
s = _mm_mul_ps(_mm_add_ps(_mm_mul_ps(_mm_add_ps(_mm_mul_ps(_mm_add_ps(_mm_mul_ps(y, SS4),
SS3),
y),
SS2),
y),
SS1),
x);
c = _mm_add_ps(_mm_mul_ps(_mm_add_ps(_mm_mul_ps(_mm_add_ps(_mm_mul_ps(y, CC3),
CC2),
y),
CC1),
y),
ONE);
// perform first angle doubling
x = _mm_sub_ps(_mm_mul_ps(c, c), _mm_mul_ps(s, s));
y = _mm_mul_ps(_mm_mul_ps(s, c), TWO);
// calculate scaling factor to correct the magnitude
// m1 = vec_nmsub(y1, y1, vec_nmsub(x1, x1, TWO));
// m2 = vec_nmsub(y2, y2, vec_nmsub(x2, x2, TWO));
m = vec_recip3(_mm_add_ps(_mm_mul_ps(x, x), _mm_mul_ps(y, y)));
// perform second angle doubling
c = _mm_sub_ps(_mm_mul_ps(x, x), _mm_mul_ps(y, y));
s = _mm_mul_ps(_mm_mul_ps(y, x), TWO);
// correct the magnitude (final sine / cosine approximations)
s = _mm_mul_ps(s, m);
c = _mm_mul_ps(c, m);
// chirp the data
cd1 = _mm_shuffle_ps(c, c, 0x50);
cd2 = _mm_shuffle_ps(c, c, 0xfa);
cd1 = _mm_mul_ps(cd1, d1);
cd2 = _mm_mul_ps(cd2, d2);
d1 = _mm_shuffle_ps(d1, d1, 0xb1);
d2 = _mm_shuffle_ps(d2, d2, 0xb1);
td1 = _mm_shuffle_ps(s, s, 0x50);
td2 = _mm_shuffle_ps(s, s, 0xfa);
td1 = _mm_mul_ps(td1, d1);
td2 = _mm_mul_ps(td2, d2);
cd1 = _mm_addsub_ps(cd1, td1);
cd2 = _mm_addsub_ps(cd2, td2);
// store chirped values
_mm_stream_ps(chirped, cd1);
_mm_stream_ps(chirped+4, cd2);
}
_mm_sfence();
// handle tail elements with scalar code
for ( ; i < ul_NumDataPoints; ++i) {
double angle = srate * i * i * 0.5;
double s = sin(angle);
double c = cos(angle);
float re = cx_DataArray[i][0];
float im = cx_DataArray[i][1];
cx_ChirpDataArray[i][0] = re * c - im * s;
cx_ChirpDataArray[i][1] = re * s + im * c;
}
analysis_state.FLOP_counter+=12.0*ul_NumDataPoints;
return 0;
}
static inline __m128d
my_invrsq_pd(__m128d x)
{
const __m128d three = (const __m128d) {3.0f, 3.0f};
const __m128d half = (const __m128d) {0.5f, 0.5f};
__m128 t = _mm_rsqrt_ps(_mm_cvtpd_ps(x)); /* Convert to single precision and do _mm_rsqrt_ps() */
__m128d t1 = _mm_cvtps_pd(t); /* Convert back to double precision */
/* First Newton-Rapson step, accuracy is now 24 bits */
__m128d t2 = _mm_mul_pd(half,_mm_mul_pd(t1,_mm_sub_pd(three,_mm_mul_pd(x,_mm_mul_pd(t1,t1)))));
/* Return second Newton-Rapson step, accuracy 48 bits */
return (__m128d) _mm_mul_pd(half,_mm_mul_pd(t2,_mm_sub_pd(three,_mm_mul_pd(x,_mm_mul_pd(t2,t2)))));
}
/* to extract single integers from a __m128i datatype */
#define _mm_extract_epi64(x, imm) \
_mm_cvtsi128_si32(_mm_srli_si128((x), 4 * (imm)))
void nb_kernel400_x86_64_sse2(int * p_nri,
int * iinr,
int * jindex,
int * jjnr,
int * shift,
double * shiftvec,
double * fshift,
int * gid,
double * pos,
double * faction,
double * charge,
double * p_facel,
double * p_krf,
double * p_crf,
double * Vc,
int * type,
int * p_ntype,
double * vdwparam,
double * Vvdw,
double * p_tabscale,
double * VFtab,
double * invsqrta,
double * dvda,
double * p_gbtabscale,
double * GBtab,
int * p_nthreads,
int * count,
void * mtx,
int * outeriter,
int * inneriter,
double * work)
{
int nri,ntype,nthreads,offset;
int n,ii,is3,ii3,k,nj0,nj1,jnr1,jnr2,j13,j23,ggid;
double facel,krf,crf,tabscl,gbtabscl,vct,vgbt;
double shX,shY,shZ,isai_d,dva;
gmx_gbdata_t *gbdata;
float * gpol;
__m128d ix,iy,iz,jx,jy,jz;
__m128d dx,dy,dz,t1,t2,t3;
__m128d fix,fiy,fiz,rsq11,rinv,r,fscal,rt,eps,eps2;
__m128d q,iq,qq,isai,isaj,isaprod,vcoul,gbscale,dvdai,dvdaj;
__m128d Y,F,G,H,Fp,VV,FF,vgb,fijC,dvdatmp,dvdasum,vctot,vgbtot,n0d;
__m128d xmm0,xmm1,xmm2,xmm3,xmm4,xmm5,xmm6,xmm7,xmm8;
__m128d fac,tabscale,gbtabscale;
__m128i n0,nnn;
const __m128d neg = {-1.0f,-1.0f};
const __m128d zero = {0.0f,0.0f};
const __m128d half = {0.5f,0.5f};
const __m128d two = {2.0f,2.0f};
const __m128d three = {3.0f,3.0f};
gbdata = (gmx_gbdata_t *)work;
gpol = gbdata->gpol;
nri = *p_nri;
ntype = *p_ntype;
nthreads = *p_nthreads;
facel = (*p_facel) * (1.0 - (1.0/gbdata->gb_epsilon_solvent));
krf = *p_krf;
crf = *p_crf;
tabscl = *p_tabscale;
gbtabscl = *p_gbtabscale;
nj1 = 0;
/* Splat variables */
fac = _mm_load1_pd(&facel);
tabscale = _mm_load1_pd(&tabscl);
gbtabscale = _mm_load1_pd(&gbtabscl);
/* Keep compiler happy */
dvdatmp = _mm_setzero_pd();
vgb = _mm_setzero_pd();
dvdaj = _mm_setzero_pd();
isaj = _mm_setzero_pd();
vcoul = _mm_setzero_pd();
t1 = _mm_setzero_pd();
t2 = _mm_setzero_pd();
t3 = _mm_setzero_pd();
jnr1=jnr2=0;
j13=j23=0;
for(n=0;n<nri;n++)
{
is3 = 3*shift[n];
shX = shiftvec[is3];
shY = shiftvec[is3+1];
shZ = shiftvec[is3+2];
nj0 = jindex[n];
nj1 = jindex[n+1];
offset = (nj1-nj0)%2;
ii = iinr[n];
ii3 = ii*3;
ix = _mm_set1_pd(shX+pos[ii3+0]);
iy = _mm_set1_pd(shX+pos[ii3+1]);
iz = _mm_set1_pd(shX+pos[ii3+2]);
q = _mm_set1_pd(charge[ii]);
iq = _mm_mul_pd(fac,q);
isai_d = invsqrta[ii];
isai = _mm_load1_pd(&isai_d);
fix = _mm_setzero_pd();
fiy = _mm_setzero_pd();
fiz = _mm_setzero_pd();
dvdasum = _mm_setzero_pd();
vctot = _mm_setzero_pd();
vgbtot = _mm_setzero_pd();
for(k=nj0;k<nj1-offset; k+=2)
{
jnr1 = jjnr[k];
jnr2 = jjnr[k+1];
j13 = jnr1 * 3;
j23 = jnr2 * 3;
/* Load coordinates */
xmm1 = _mm_loadu_pd(pos+j13); /* x1 y1 */
xmm2 = _mm_loadu_pd(pos+j23); /* x2 y2 */
xmm5 = _mm_load_sd(pos+j13+2); /* z1 - */
xmm6 = _mm_load_sd(pos+j23+2); /* z2 - */
/* transpose */
jx = _mm_shuffle_pd(xmm1,xmm2,_MM_SHUFFLE2(0,0));
jy = _mm_shuffle_pd(xmm1,xmm2,_MM_SHUFFLE2(1,1));
jz = _mm_shuffle_pd(xmm5,xmm6,_MM_SHUFFLE2(0,0));
/* distances */
dx = _mm_sub_pd(ix,jx);
dy = _mm_sub_pd(iy,jy);
dz = _mm_sub_pd(iz,jz);
rsq11 = _mm_add_pd( _mm_add_pd( _mm_mul_pd(dx,dx) , _mm_mul_pd(dy,dy) ) , _mm_mul_pd(dz,dz) );
rinv = my_invrsq_pd(rsq11);
/* Load invsqrta */
isaj = _mm_loadl_pd(isaj,invsqrta+jnr1);
isaj = _mm_loadh_pd(isaj,invsqrta+jnr2);
isaprod = _mm_mul_pd(isai,isaj);
/* Load charges */
q = _mm_loadl_pd(q,charge+jnr1);
q = _mm_loadh_pd(q,charge+jnr2);
qq = _mm_mul_pd(iq,q);
vcoul = _mm_mul_pd(qq,rinv);
fscal = _mm_mul_pd(vcoul,rinv);
qq = _mm_mul_pd(isaprod,qq);
qq = _mm_mul_pd(qq,neg);
gbscale = _mm_mul_pd(isaprod,gbtabscale);
/* Load dvdaj */
dvdaj = _mm_loadl_pd(dvdaj, dvda+jnr1);
dvdaj = _mm_loadh_pd(dvdaj, dvda+jnr2);
r = _mm_mul_pd(rsq11,rinv);
rt = _mm_mul_pd(r,gbscale);
n0 = _mm_cvttpd_epi32(rt);
n0d = _mm_cvtepi32_pd(n0);
eps = _mm_sub_pd(rt,n0d);
eps2 = _mm_mul_pd(eps,eps);
nnn = _mm_slli_epi64(n0,2);
xmm1 = _mm_load_pd(GBtab+(_mm_extract_epi64(nnn,0))); /* Y1 F1 */
xmm2 = _mm_load_pd(GBtab+(_mm_extract_epi64(nnn,1))); /* Y2 F2 */
xmm3 = _mm_load_pd(GBtab+(_mm_extract_epi64(nnn,0))+2); /* G1 H1 */
xmm4 = _mm_load_pd(GBtab+(_mm_extract_epi64(nnn,1))+2); /* G2 H2 */
Y = _mm_shuffle_pd(xmm1,xmm2,_MM_SHUFFLE2(0,0)); /* Y1 Y2 */
F = _mm_shuffle_pd(xmm1,xmm2,_MM_SHUFFLE2(1,1)); /* F1 F2 */
G = _mm_shuffle_pd(xmm3,xmm4,_MM_SHUFFLE2(0,0)); /* G1 G2 */
H = _mm_shuffle_pd(xmm3,xmm4,_MM_SHUFFLE2(1,1)); /* H1 H2 */
G = _mm_mul_pd(G,eps);
H = _mm_mul_pd(H,eps2);
Fp = _mm_add_pd(F,G);
Fp = _mm_add_pd(Fp,H);
VV = _mm_mul_pd(Fp,eps);
VV = _mm_add_pd(Y,VV);
H = _mm_mul_pd(two,H);
FF = _mm_add_pd(Fp,G);
FF = _mm_add_pd(FF,H);
vgb = _mm_mul_pd(qq,VV);
fijC = _mm_mul_pd(qq,FF);
fijC = _mm_mul_pd(fijC,gbscale);
dvdatmp = _mm_mul_pd(fijC,r);
dvdatmp = _mm_add_pd(vgb,dvdatmp);
dvdatmp = _mm_mul_pd(dvdatmp,neg);
dvdatmp = _mm_mul_pd(dvdatmp,half);
dvdasum = _mm_add_pd(dvdasum,dvdatmp);
xmm1 = _mm_mul_pd(dvdatmp,isaj);
xmm1 = _mm_mul_pd(xmm1,isaj);
dvdaj = _mm_add_pd(dvdaj,xmm1);
/* store dvda */
_mm_storel_pd(dvda+jnr1,dvdaj);
_mm_storeh_pd(dvda+jnr2,dvdaj);
vctot = _mm_add_pd(vctot,vcoul);
vgbtot = _mm_add_pd(vgbtot,vgb);
fscal = _mm_sub_pd(fijC,fscal);
fscal = _mm_mul_pd(fscal,neg);
fscal = _mm_mul_pd(fscal,rinv);
/* calculate partial force terms */
t1 = _mm_mul_pd(fscal,dx);
t2 = _mm_mul_pd(fscal,dy);
t3 = _mm_mul_pd(fscal,dz);
/* update the i force */
fix = _mm_add_pd(fix,t1);
fiy = _mm_add_pd(fiy,t2);
fiz = _mm_add_pd(fiz,t3);
/* accumulate forces from memory */
xmm1 = _mm_loadu_pd(faction+j13); /* fx1 fy1 */
xmm2 = _mm_loadu_pd(faction+j23); /* fx2 fy2 */
xmm5 = _mm_load1_pd(faction+j13+2); /* fz1 fz1 */
xmm6 = _mm_load1_pd(faction+j23+2); /* fz2 fz2 */
/* transpose */
xmm7 = _mm_shuffle_pd(xmm5,xmm6,_MM_SHUFFLE2(0,0)); /* fz1 fz2 */
xmm5 = _mm_shuffle_pd(xmm1,xmm2,_MM_SHUFFLE2(0,0)); /* fx1 fx2 */
xmm6 = _mm_shuffle_pd(xmm1,xmm2,_MM_SHUFFLE2(1,1)); /* fy1 fy2 */
/* subtract partial forces */
xmm5 = _mm_sub_pd(xmm5,t1);
xmm6 = _mm_sub_pd(xmm6,t2);
xmm7 = _mm_sub_pd(xmm7,t3);
xmm1 = _mm_shuffle_pd(xmm5,xmm6,_MM_SHUFFLE2(0,0)); /* fx1 fy1 */
xmm2 = _mm_shuffle_pd(xmm5,xmm6,_MM_SHUFFLE2(1,1)); /* fy1 fy2 */
/* store fx and fy */
_mm_storeu_pd(faction+j13,xmm1);
_mm_storeu_pd(faction+j23,xmm2);
/* .. then fz */
_mm_storel_pd(faction+j13+2,xmm7);
_mm_storel_pd(faction+j23+2,xmm7);
}
/* In double precision, offset can only be either 0 or 1 */
if(offset!=0)
{
jnr1 = jjnr[k];
j13 = jnr1*3;
jx = _mm_load_sd(pos+j13);
jy = _mm_load_sd(pos+j13+1);
jz = _mm_load_sd(pos+j13+2);
isaj = _mm_load_sd(invsqrta+jnr1);
isaprod = _mm_mul_sd(isai,isaj);
dvdaj = _mm_load_sd(dvda+jnr1);
q = _mm_load_sd(charge+jnr1);
qq = _mm_mul_sd(iq,q);
dx = _mm_sub_sd(ix,jx);
dy = _mm_sub_sd(iy,jy);
dz = _mm_sub_sd(iz,jz);
rsq11 = _mm_add_pd( _mm_add_pd( _mm_mul_pd(dx,dx) , _mm_mul_pd(dy,dy) ) , _mm_mul_pd(dz,dz) );
rinv = my_invrsq_pd(rsq11);
vcoul = _mm_mul_sd(qq,rinv);
fscal = _mm_mul_sd(vcoul,rinv);
qq = _mm_mul_sd(isaprod,qq);
qq = _mm_mul_sd(qq,neg);
gbscale = _mm_mul_sd(isaprod,gbtabscale);
r = _mm_mul_sd(rsq11,rinv);
rt = _mm_mul_sd(r,gbscale);
n0 = _mm_cvttpd_epi32(rt);
n0d = _mm_cvtepi32_pd(n0);
eps = _mm_sub_sd(rt,n0d);
eps2 = _mm_mul_sd(eps,eps);
nnn = _mm_slli_epi64(n0,2);
xmm1 = _mm_load_pd(GBtab+(_mm_extract_epi64(nnn,0)));
xmm2 = _mm_load_pd(GBtab+(_mm_extract_epi64(nnn,1)));
xmm3 = _mm_load_pd(GBtab+(_mm_extract_epi64(nnn,0))+2);
xmm4 = _mm_load_pd(GBtab+(_mm_extract_epi64(nnn,1))+2);
Y = _mm_shuffle_pd(xmm1,xmm2,_MM_SHUFFLE2(0,0));
F = _mm_shuffle_pd(xmm1,xmm2,_MM_SHUFFLE2(1,1));
G = _mm_shuffle_pd(xmm3,xmm4,_MM_SHUFFLE2(0,0));
H = _mm_shuffle_pd(xmm3,xmm4,_MM_SHUFFLE2(1,1));
G = _mm_mul_sd(G,eps);
H = _mm_mul_sd(H,eps2);
Fp = _mm_add_sd(F,G);
Fp = _mm_add_sd(Fp,H);
VV = _mm_mul_sd(Fp,eps);
VV = _mm_add_sd(Y,VV);
H = _mm_mul_sd(two,H);
FF = _mm_add_sd(Fp,G);
FF = _mm_add_sd(FF,H);
vgb = _mm_mul_sd(qq,VV);
fijC = _mm_mul_sd(qq,FF);
fijC = _mm_mul_sd(fijC,gbscale);
dvdatmp = _mm_mul_sd(fijC,r);
dvdatmp = _mm_add_sd(vgb,dvdatmp);
dvdatmp = _mm_mul_sd(dvdatmp,neg);
dvdatmp = _mm_mul_sd(dvdatmp,half);
dvdasum = _mm_add_sd(dvdasum,dvdatmp);
xmm1 = _mm_mul_sd(dvdatmp,isaj);
xmm1 = _mm_mul_sd(xmm1,isaj);
dvdaj = _mm_add_sd(dvdaj,xmm1);
/* store dvda */
_mm_storel_pd(dvda+jnr1,dvdaj);
vctot = _mm_add_sd(vctot,vcoul);
vgbtot = _mm_add_sd(vgbtot,vgb);
fscal = _mm_sub_sd(fijC,fscal);
fscal = _mm_mul_sd(fscal,neg);
fscal = _mm_mul_sd(fscal,rinv);
/* calculate partial force terms */
t1 = _mm_mul_sd(fscal,dx);
t2 = _mm_mul_sd(fscal,dy);
t3 = _mm_mul_sd(fscal,dz);
/* update the i force */
fix = _mm_add_sd(fix,t1);
fiy = _mm_add_sd(fiy,t2);
fiz = _mm_add_sd(fiz,t3);
/* accumulate forces from memory */
xmm5 = _mm_load_sd(faction+j13); /* fx */
xmm6 = _mm_load_sd(faction+j13+1); /* fy */
xmm7 = _mm_load_sd(faction+j13+2); /* fz */
/* subtract partial forces */
xmm5 = _mm_sub_sd(xmm5,t1);
xmm6 = _mm_sub_sd(xmm6,t2);
xmm7 = _mm_sub_sd(xmm7,t3);
/* store forces */
_mm_store_sd(faction+j13,xmm5);
_mm_store_sd(faction+j13+1,xmm6);
_mm_store_sd(faction+j13+2,xmm7);
}
/* fix/fiy/fiz now contain four partial terms, that all should be
* added to the i particle forces
*/
t1 = _mm_unpacklo_pd(t1,fix);
t2 = _mm_unpacklo_pd(t2,fiy);
t3 = _mm_unpacklo_pd(t3,fiz);
fix = _mm_add_pd(fix,t1);
fiy = _mm_add_pd(fiy,t2);
fiz = _mm_add_pd(fiz,t3);
fix = _mm_shuffle_pd(fix,fix,_MM_SHUFFLE2(1,1));
fiy = _mm_shuffle_pd(fiy,fiy,_MM_SHUFFLE2(1,1));
fiz = _mm_shuffle_pd(fiz,fiz,_MM_SHUFFLE2(1,1));
/* Load i forces from memory */
xmm1 = _mm_load_sd(faction+ii3);
xmm2 = _mm_load_sd(faction+ii3+1);
xmm3 = _mm_load_sd(faction+ii3+2);
/* Add to i force */
fix = _mm_add_sd(fix,xmm1);
fiy = _mm_add_sd(fiy,xmm2);
fiz = _mm_add_sd(fiz,xmm3);
/* store i forces to memory */
_mm_store_sd(faction+ii3,fix);
_mm_store_sd(faction+ii3+1,fiy);
_mm_store_sd(faction+ii3+2,fiz);
/* now do dvda */
dvdatmp = _mm_unpacklo_pd(dvdatmp,dvdasum);
dvdasum = _mm_add_pd(dvdasum,dvdatmp);
_mm_storeh_pd(&dva,dvdasum);
dvda[ii] = dvda[ii] + dva*isai_d*isai_d;
ggid = gid[n];
/* Coulomb potential */
vcoul = _mm_unpacklo_pd(vcoul,vctot);
vctot = _mm_add_pd(vctot,vcoul);
_mm_storeh_pd(&vct,vctot);
Vc[ggid] = Vc[ggid] + vct;
/* GB potential */
vgb = _mm_unpacklo_pd(vgb,vgbtot);
vgbtot = _mm_add_pd(vgbtot,vgb);
_mm_storeh_pd(&vgbt,vgbtot);
gpol[ggid] = gpol[ggid] + vgbt;
}
*outeriter = nri;
*inneriter = nj1;
}
tag::cpu_, Dummy> : callable
{
template<class Sig> struct result;
template<class This,class A0>
struct result<This(A0, A0)>
{
typedef typename meta::scalar_of<A0>::type stype;
typedef typename meta::downgrade<stype>::type sftype;
typedef simd::native<sftype,tag::sse_> type;
};
NT2_FUNCTOR_CALL(2)
{
typedef typename NT2_RETURN_TYPE(2)::type rtype;
typedef typename meta::as_integer<rtype>::type itype;
rtype z = {_mm_cvtpd_ps(a1)};
itype iz = simd::native_cast<itype>(z);
iz = _mm_slli_si128(iz, 8);
rtype r = simd::native_cast<rtype>(iz);
return b_or(r, simd::native_cast<rtype>(_mm_cvtpd_ps(a0)));
}
};
} }
/////////////////////////////////////////////////////////////////////////////
// Implementation when type A0 is int32_t
/////////////////////////////////////////////////////////////////////////////
NT2_REGISTER_DISPATCH(tag::group_, tag::cpu_,
(A0),
((simd_<ints32_<A0>,tag::sse_>))
((simd_<ints32_<A0>,tag::sse_>))
tag::cpu_, Dummy> : callable
{
template<class Sig> struct result;
template<class This,class A0>
struct result<This(A0, A0)>
{
typedef typename meta::scalar_of<A0>::type stype;
typedef typename meta::float__<stype>::type sftype;
typedef simd::native<sftype,tag::sse_> type;
};
NT2_FUNCTOR_CALL(2)
{
typedef typename NT2_RETURN_TYPE(2)::type rtype;
typedef typename meta::as_integer<rtype>::type itype;
rtype r = simd::native_cast<rtype>(_mm_slli_si128(simd::native_cast<itype >(_mm_cvtpd_ps(a1)), 8));
return b_or(r, simd::native_cast<rtype>(_mm_cvtpd_ps(a0)));
}
};
} }
/////////////////////////////////////////////////////////////////////////////
// Implementation when type A0 is int32_t
/////////////////////////////////////////////////////////////////////////////
NT2_REGISTER_DISPATCH(tag::group_, tag::cpu_,
(A0),
((simd_<ints32_<A0>,tag::sse_>))
((simd_<ints32_<A0>,tag::sse_>))
);
namespace nt2 { namespace ext
// =============================================================================
//
// sse2_vChirpData
// version by: Alex Kan - SSE2 mods (haddsum removal) BH
// http://tbp.berkeley.edu/~alexkan/seti/
//
int sse2_ChirpData_ak(
sah_complex * cx_DataArray,
sah_complex * cx_ChirpDataArray,
int chirp_rate_ind,
double chirp_rate,
int ul_NumDataPoints,
double sample_rate
) {
int i;
if (chirp_rate_ind == 0) {
memcpy(cx_ChirpDataArray, cx_DataArray, (int)ul_NumDataPoints * sizeof(sah_complex) );
return 0;
}
int vEnd;
double srate = chirp_rate * 0.5 / (sample_rate * sample_rate);
__m128d rate = _mm_set1_pd(chirp_rate * 0.5 / (sample_rate * sample_rate));
__m128d roundVal = _mm_set1_pd(srate >= 0.0 ? TWO_TO_52 : -TWO_TO_52);
// main vectorised loop
vEnd = ul_NumDataPoints - (ul_NumDataPoints & 3);
for (i = 0; i < vEnd; i += 4) {
const float *data = (const float *) (cx_DataArray + i);
float *chirped = (float *) (cx_ChirpDataArray + i);
__m128d di = _mm_set1_pd(i);
__m128d a1 = _mm_add_pd(_mm_set_pd(1.0, 0.0), di);
__m128d a2 = _mm_add_pd(_mm_set_pd(3.0, 2.0), di);
__m128d x1, y1;
__m128 d1, d2;
__m128 cd1, cd2;
__m128 td1, td2;
__m128 x;
__m128 y;
__m128 s;
__m128 c;
__m128 m;
// load the signal to be chirped
prefetchnta((const void *)( data+32 ));
d1 = _mm_load_ps(data);
d2 = _mm_load_ps(data+4);
// calculate the input angle
a1 = _mm_mul_pd(a1, a1);
a2 = _mm_mul_pd(a2, a2);
a1 = _mm_mul_pd(a1, rate);
a2 = _mm_mul_pd(a2, rate);
// reduce the angle to the range (-0.5, 0.5)
x1 = _mm_add_pd(a1, roundVal);
y1 = _mm_add_pd(a2, roundVal);
x1 = _mm_sub_pd(x1, roundVal);
y1 = _mm_sub_pd(y1, roundVal);
a1 = _mm_sub_pd(a1, x1);
a2 = _mm_sub_pd(a2, y1);
// convert pair of packed double into packed single
x = _mm_movelh_ps(_mm_cvtpd_ps(a1), _mm_cvtpd_ps(a2));
// square to the range [0, 0.25)
y = _mm_mul_ps(x, x);
// perform the initial polynomial approximations
s = _mm_mul_ps(y, SS4);
c = _mm_mul_ps(y, CC3);
s = _mm_add_ps(s, SS3);
c = _mm_add_ps(c, CC2);
s = _mm_mul_ps(s, y);
c = _mm_mul_ps(c, y);
s = _mm_add_ps(s, SS2);
c = _mm_add_ps(c, CC1);
s = _mm_mul_ps(s, y);
c = _mm_mul_ps(c, y);
s = _mm_add_ps(s, SS1);
s = _mm_mul_ps(s, x);
c = _mm_add_ps(c, ONE);
// perform first angle doubling
x = _mm_sub_ps(_mm_mul_ps(c, c), _mm_mul_ps(s, s));
y = _mm_mul_ps(_mm_mul_ps(s, c), TWO);
// calculate scaling factor to correct the magnitude
// m1 = vec_nmsub(y1, y1, vec_nmsub(x1, x1, TWO));
// m2 = vec_nmsub(y2, y2, vec_nmsub(x2, x2, TWO));
m = vec_recip2(_mm_add_ps(_mm_mul_ps(x, x), _mm_mul_ps(y, y)));
// perform second angle doubling
c = _mm_sub_ps(_mm_mul_ps(x, x), _mm_mul_ps(y, y));
s = _mm_mul_ps(_mm_mul_ps(y, x), TWO);
// correct the magnitude (final sine / cosine approximations)
c = _mm_mul_ps(c, m);
s = _mm_mul_ps(s, m);
/* c1 c2 c3 c4
s1 s2 s3 s4
R1 i1 R2 I2 R3 i3 R4 i4
R1 * c1 + (i1 * s1 * -1)
i1 * c1 + R1 * s1
R2 * c2 + (i2 * s2 * -1)
i2 * c2 + R2 * s2
*/
x = d1;
y = d2;
x = _mm_shuffle_ps(x, x, 0xB1);
y = _mm_shuffle_ps(y, y, 0xB1);
x = _mm_mul_ps(x, R_NEG);
y = _mm_mul_ps(y, R_NEG);
cd1 = _mm_shuffle_ps(c, c, 0x50); // 01 01 00 00 AaBb => BBbb => c3c3c4c4
cd2 = _mm_shuffle_ps(c, c, 0xfa); // 11 11 10 10 AaBb => AAaa => c1c1c2c2
td1 = _mm_shuffle_ps(s, s, 0x50);
td2 = _mm_shuffle_ps(s, s, 0xfa);
cd1 = _mm_mul_ps(cd1, d1);
cd2 = _mm_mul_ps(cd2, d2);
td1 = _mm_mul_ps(td1, x);
td2 = _mm_mul_ps(td2, y);
cd1 = _mm_add_ps(cd1, td1);
cd2 = _mm_add_ps(cd2, td2);
// store chirped values
_mm_stream_ps(chirped+0, cd1);
_mm_stream_ps(chirped+4, cd2);
}
_mm_sfence();
if( i < ul_NumDataPoints) {
// use original routine to finish up any tailings (max stride-1 elements)
v_ChirpData(cx_DataArray+i, cx_ChirpDataArray+i
, chirp_rate_ind, chirp_rate, ul_NumDataPoints-i, sample_rate);
}
analysis_state.FLOP_counter+=12.0*ul_NumDataPoints;
return 0;
}
int sse3_ChirpData_ak8(
sah_complex * cx_DataArray,
sah_complex * cx_ChirpDataArray,
int chirp_rate_ind,
double chirp_rate,
int ul_NumDataPoints,
double sample_rate
) {
#ifdef USE_MANUAL_CALLSTACK
call_stack.enter("sse3_ChirpData_ak8()");
#endif
int i;
if (chirp_rate_ind == 0) {
memcpy(cx_ChirpDataArray, cx_DataArray, (int)ul_NumDataPoints * sizeof(sah_complex) );
#ifdef USE_MANUAL_CALLSTACK
call_stack.exit();
#endif
return 0;
}
int vEnd;
double srate = chirp_rate * 0.5 / (sample_rate * sample_rate);
__m128d rate = _mm_set1_pd(chirp_rate * 0.5 / (sample_rate * sample_rate));
__m128d roundVal = _mm_set1_pd(srate >= 0.0 ? TWO_TO_52 : -TWO_TO_52);
__m128d DFOUR = _mm_set_pd(4.0, 4.0);
// main vectorised loop
vEnd = ul_NumDataPoints - (ul_NumDataPoints & 3);
__m128d di1 = _mm_set_pd(2.0, 0.0); // set time patterns for eventual moveldup/movehdup
__m128d di2 = _mm_set_pd(3.0, 1.0);
for (i = 0; i < vEnd; i += 4) {
const float *d = (const float *) (cx_DataArray + i);
float *cd = (float *) (cx_ChirpDataArray + i);
__m128d a1, a2;
__m128 d1, d2;
__m128 cd1, cd2;
__m128 td1, td2;
__m128 x;
__m128 y;
__m128 z;
__m128 s;
__m128 c;
__m128 m;
// load the signal to be chirped
d1 = _mm_load_ps(d);
d2 = _mm_load_ps(d+4);
// calculate the input angle
a1 = _mm_mul_pd(_mm_mul_pd(di1, di1), rate);
a2 = _mm_mul_pd(_mm_mul_pd(di2, di2), rate);
// update times for next
di1 = _mm_add_pd(di1, DFOUR);
di2 = _mm_add_pd(di2, DFOUR);
// reduce the angle to the range (-0.5, 0.5)
a1 = _mm_sub_pd(a1, _mm_sub_pd(_mm_add_pd(a1, roundVal), roundVal));
a2 = _mm_sub_pd(a2, _mm_sub_pd(_mm_add_pd(a2, roundVal), roundVal));
// convert pair of packed double into packed single
x = _mm_movelh_ps(_mm_cvtpd_ps(a1), _mm_cvtpd_ps(a2)); // 3 1 2 0
// square to the range [0, 0.25)
y = _mm_mul_ps(x, x);
// perform the initial polynomial approximations, Estrin's method
z = _mm_mul_ps(y, y);
s = _mm_mul_ps(_mm_add_ps(_mm_mul_ps(_mm_add_ps(_mm_mul_ps(y, SS4F),
SS3F),
z),
_mm_add_ps(_mm_mul_ps(y, SS2F),
SS1F)),
x);
c = _mm_add_ps(_mm_mul_ps(_mm_add_ps(_mm_mul_ps(y, CC3F),
CC2F),
z),
_mm_add_ps(_mm_mul_ps(y, CC1F),
ONE));
// perform first angle doubling
x = _mm_sub_ps(_mm_mul_ps(c, c), _mm_mul_ps(s, s));
y = _mm_mul_ps(_mm_mul_ps(s, c), TWO);
// calculate scaling factor to correct the magnitude
m = _mm_sub_ps(_mm_sub_ps(TWO, _mm_mul_ps(x, x)), _mm_mul_ps(y, y));
// perform second angle doubling
c = _mm_sub_ps(_mm_mul_ps(x, x), _mm_mul_ps(y, y));
s = _mm_mul_ps(_mm_mul_ps(y, x), TWO);
// correct the magnitude (final sine / cosine approximations)
c = _mm_mul_ps(c, m); // c3 c1 c2 c0
s = _mm_mul_ps(s, m);
// chirp the data
cd1 = _mm_moveldup_ps(c); // c1 c1 c0 c0
cd2 = _mm_movehdup_ps(c); // c3 c3 c2 c2
cd1 = _mm_mul_ps(cd1, d1); // c1.i1 c1.r1 c0.i0 c0.r0
cd2 = _mm_mul_ps(cd2, d2); // c3.i3 c3.r3 c2.i2 c2.r2
d1 = _mm_shuffle_ps(d1, d1, 0xb1);
d2 = _mm_shuffle_ps(d2, d2, 0xb1);
td1 = _mm_moveldup_ps(s);
td2 = _mm_movehdup_ps(s);
td1 = _mm_mul_ps(td1, d1);
td2 = _mm_mul_ps(td2, d2);
cd1 = _mm_addsub_ps(cd1, td1);
cd2 = _mm_addsub_ps(cd2, td2);
// store chirped values
_mm_stream_ps(cd, cd1);
_mm_stream_ps(cd+4, cd2);
}
// handle tail elements with scalar code
for (; i < ul_NumDataPoints; ++i) {
double angle = srate * i * i * 0.5;
double s = sin(angle);
double c = cos(angle);
float re = cx_DataArray[i][0];
float im = cx_DataArray[i][1];
cx_ChirpDataArray[i][0] = re * c - im * s;
cx_ChirpDataArray[i][1] = re * s + im * c;
}
analysis_state.FLOP_counter+=12.0*ul_NumDataPoints;
#ifdef USE_MANUAL_CALLSTACK
call_stack.exit();
#endif
return 0;
}
