inline
double operator[](int i) const
{
__m128d buf0;
if (i < 4) {
if (i < 2) {
buf0 = _mm512_extractf64x2_pd(val, 0);
} else {
buf0 = _mm512_extractf64x2_pd(val, 1);
}
} else {
if (i < 6) {
buf0 = _mm512_extractf64x2_pd(val, 2);
} else {
buf0 = _mm512_extractf64x2_pd(val, 3);
}
}
i &= 1;
if (i == 0) {
return _mm_cvtsd_f64(buf0);
}
buf0 = _mm_shuffle_pd(buf0, buf0, 1);
return _mm_cvtsd_f64(buf0);
}
double test_mm_cvtsd_f64(__m128d A) {
// DAG-LABEL: test_mm_cvtsd_f64
// DAG: extractelement <2 x double> %{{.*}}, i32 0
//
// ASM-LABEL: test_mm_cvtsd_f64
// ASM: movapd
return _mm_cvtsd_f64(A);
}
xsqrt( double x )
{
__v2df f, g;
double _d;
x += x;
g = __extension__ (__v2df){ x, 0 };
f = _mm_sqrt_pd( g );
_d = _mm_cvtsd_f64 (f);
return (_d);
}
double hadd(const vector4d& rhs)
{
// rhs = (x0, x1, x2, x3)
// tmp = (x2, x3, x0, x1)
__m256d tmp = _mm256_permute2f128_pd(rhs, rhs, 1);
// tmp = (x2+x0, x3+x1, -, -)
tmp = _mm256_add_pd(rhs, tmp);
// tmp = (x2+x0+x3+x1, -, -, -)
tmp = _mm256_hadd_pd(tmp, tmp);
return _mm_cvtsd_f64(_mm256_extractf128_pd(tmp, 0));
}
irreg_poly_area_func_sign(double, _avx) {
if (__builtin_expect(is_null(cords) || cords_len == 0, 0))
return 0;
__m256d
curr,
forw,
coef_0,
coef_1,
end = _mm256_load_pd((const double *)cords),
accum_sum = _mm256_setzero_pd();
double accum_sum_aux;
unsigned long index;
for (index = 0; index < (cords_len - 4); index += 4) {
curr = end; // x0,y0,x1,y1
forw = _mm256_load_pd((const double *)&cords[index + 2]); // x2,y2,x3,y3
end = _mm256_load_pd((const double *)&cords[index + 4]); // x4,y4,x5,y5
coef_0 = _mm256_permute2f128_pd(curr, forw, 0b00110001); // x1, y1, x3, y3
coef_1 = _mm256_permute2f128_pd(forw, end, 0b00100000); // x2, y2, x4, y4
//_mm256_hsub_pd(a, b) == a0 - a1, b0 - b1, a2 - a3, b2 - b3
accum_sum = _mm256_add_pd(
accum_sum,
_mm256_hsub_pd( // x0*y1 - y0*x1, x1*y2 - y1x2, x2*y3 - y2*x3, x3*y4 - y3*x4
_mm256_mul_pd( // x0*y1, y0*x1, x2*y3, y2*x3
_mm256_permute2f128_pd(curr, forw, 0b00100000), // x0, y0, x2, y2
_mm256_shuffle_pd(coef_0, coef_0, 0b0101) // y1, x1, y3, x3
),
_mm256_mul_pd(coef_0, _mm256_shuffle_pd(coef_1, coef_1, 0b0101)) // y2, x2, y4, x4
// ^^^^^^^^^^^^^^^ x1*y2, y1*x2, x3*y4, y3*x4
)
);
}
accum_sum = _mm256_hadd_pd(accum_sum, _mm256_permute2f128_pd(accum_sum, accum_sum, 1)); // a0+a1, a2+a3, a2+a3, a0+a1
accum_sum = _mm256_hadd_pd(accum_sum, accum_sum); // a0+a1+a2+a3, ...
for (accum_sum_aux = _mm_cvtsd_f64(_mm256_castpd256_pd128(accum_sum)); index < (cords_len - 1); index++)
accum_sum_aux += _calc_diff_of_adj_prods(cords, index);
return accum_sum_aux;
// return scalar_half(scalar_abs(accum_sum_aux));
}
/*!
* \brief Perform an horizontal sum of the given vector.
* \param in The input vector type
* \return the horizontal sum of the vector
*/
ETL_STATIC_INLINE(double) hadd(avx_simd_double in) {
const __m256d t1 = _mm256_hadd_pd(in.value, _mm256_permute2f128_pd(in.value, in.value, 1));
const __m256d t2 = _mm256_hadd_pd(t1, t1);
return _mm_cvtsd_f64(_mm256_castpd256_pd128(t2));
}
void AVX2FMA3DNoise(Vector3d& result, const Vector3d& EPoint)
{
#if CHECK_FUNCTIONAL
Vector3d param(EPoint);
#endif
AVX2TABLETYPE *mp;
// TODO FIXME - global statistics reference
// Stats[Calls_To_DNoise]++;
const __m256d ONE_PD = _mm256_set1_pd(1.0);
const __m128i short_si128 = _mm_set1_epi32(0xffff);
const __m256d xyzn = _mm256_setr_pd(EPoint[X], EPoint[Y], EPoint[Z], 0);
const __m256d epsy = _mm256_set1_pd(1.0 - EPSILON);
const __m256d xyzn_e = _mm256_sub_pd(xyzn, epsy);
const __m128i tmp_xyzn = _mm256_cvttpd_epi32(_mm256_blendv_pd(xyzn, xyzn_e, xyzn));
const __m128i noise_min_xyzn = _mm_setr_epi32(NOISE_MINX, NOISE_MINY, NOISE_MINZ, 0);
const __m256d xyz_ixyzn = _mm256_sub_pd(xyzn, _mm256_cvtepi32_pd(tmp_xyzn));
const __m256d xyz_jxyzn = _mm256_sub_pd(xyz_ixyzn, ONE_PD);
const __m128i i_xyzn = _mm_and_si128(_mm_sub_epi32(tmp_xyzn, noise_min_xyzn),
_mm_set1_epi32(0xfff));
const __m256d s_xyzn = _mm256_mul_pd(xyz_ixyzn,
_mm256_mul_pd(xyz_ixyzn,
_mm256_sub_pd(_mm256_set1_pd(3.0),
_mm256_add_pd(xyz_ixyzn, xyz_ixyzn))));
const __m256d t_xyzn = _mm256_sub_pd(ONE_PD, s_xyzn);
const __m256d txtysxsy = _mm256_permute2f128_pd(t_xyzn, s_xyzn, 0x20);
const __m256d txsxtxsx = PERMUTE4x64(txtysxsy, _MM_SHUFFLE(2, 0, 2, 0));
const __m256d tytysysy = PERMUTE4x64(txtysxsy, _MM_SHUFFLE(3, 3, 1, 1));
const __m256d txtysxtytxsysxsy = _mm256_mul_pd(txsxtxsx, tytysysy);
const __m256d incrsump_s1 = _mm256_mul_pd(txtysxtytxsysxsy, PERMUTE4x64(t_xyzn, _MM_SHUFFLE(2, 2, 2, 2)));
const __m256d incrsump_s2 = _mm256_mul_pd(txtysxtytxsysxsy, PERMUTE4x64(s_xyzn, _MM_SHUFFLE(2, 2, 2, 2)));
int ints[4];
_mm_storeu_si128((__m128i*)(ints), i_xyzn);
const int ixiy_hash = Hash2d(ints[0], ints[1]);
const int jxiy_hash = Hash2d(ints[0] + 1, ints[1]);
const int ixjy_hash = Hash2d(ints[0], ints[1] + 1);
const int jxjy_hash = Hash2d(ints[0] + 1, ints[1] + 1);
const int iz = ints[2];
const __m256d iii = _mm256_blend_pd(PERMUTE4x64(xyz_ixyzn, _MM_SHUFFLE(2, 1, 0, 0)), _mm256_set_pd(0, 0, 0, 0.5), 0x1);
const __m256d jjj = _mm256_blend_pd(PERMUTE4x64(xyz_jxyzn, _MM_SHUFFLE(2, 1, 0, 0)), _mm256_set_pd(0, 0, 0, 0.5), 0x1);
__m256d ss;
__m256d blend;
__m256d x = _mm256_setzero_pd(), y = _mm256_setzero_pd(), z = _mm256_setzero_pd();
mp = &AVX2RTable[Hash1dRTableIndexAVX(ixiy_hash, iz)];
ss = PERMUTE4x64(incrsump_s1, _MM_SHUFFLE(0, 0, 0, 0));
// blend = _mm256_blend_pd(iii, jjj, 0);
INCSUMAVX_VECTOR(mp, ss, iii);
mp = &AVX2RTable[Hash1dRTableIndexAVX(jxiy_hash, iz)];
ss = PERMUTE4x64(incrsump_s1, _MM_SHUFFLE(1, 1, 1, 1));
blend = _mm256_blend_pd(iii, jjj, 2);
INCSUMAVX_VECTOR(mp, ss, blend);
mp = &AVX2RTable[Hash1dRTableIndexAVX(jxjy_hash, iz)];
ss = PERMUTE4x64(incrsump_s1, _MM_SHUFFLE(3, 3, 3, 3));
blend = _mm256_blend_pd(iii, jjj, 6);
INCSUMAVX_VECTOR(mp, ss, blend);
mp = &AVX2RTable[Hash1dRTableIndexAVX(ixjy_hash, iz)];
ss = PERMUTE4x64(incrsump_s1, _MM_SHUFFLE(2, 2, 2, 2));
blend = _mm256_blend_pd(iii, jjj, 4);
INCSUMAVX_VECTOR(mp, ss, blend);
mp = &AVX2RTable[Hash1dRTableIndexAVX(ixjy_hash, iz + 1)];
ss = PERMUTE4x64(incrsump_s2, _MM_SHUFFLE(2, 2, 2, 2));
blend = _mm256_blend_pd(iii, jjj, 12);
INCSUMAVX_VECTOR(mp, ss, blend);
mp = &AVX2RTable[Hash1dRTableIndexAVX(jxjy_hash, iz + 1)];
ss = PERMUTE4x64(incrsump_s2, _MM_SHUFFLE(3, 3, 3, 3));
// blend = _mm256_blend_pd(iii, jjj, 14);
INCSUMAVX_VECTOR(mp, ss, jjj);
mp = &AVX2RTable[Hash1dRTableIndexAVX(jxiy_hash, iz + 1)];
ss = PERMUTE4x64(incrsump_s2, _MM_SHUFFLE(1, 1, 1, 1));
blend = _mm256_blend_pd(iii, jjj, 10);
INCSUMAVX_VECTOR(mp, ss, blend);
mp = &AVX2RTable[Hash1dRTableIndexAVX(ixiy_hash, iz + 1)];
ss = PERMUTE4x64(incrsump_s2, _MM_SHUFFLE(0, 0, 0, 0));
blend = _mm256_blend_pd(iii, jjj, 8);
INCSUMAVX_VECTOR(mp, ss, blend);
__m256d xy = _mm256_hadd_pd(x,y);
__m128d xy_up = _mm256_extractf128_pd(xy,1);
xy_up = _mm_add_pd(_mm256_castpd256_pd128(xy),xy_up);
_mm_storeu_pd(&result[X],xy_up);
__m128d z_up = _mm256_extractf128_pd(z,1);
z_up = _mm_add_pd(_mm256_castpd256_pd128(z),z_up);
z_up = _mm_hadd_pd(z_up,z_up);
result[Z] = _mm_cvtsd_f64(z_up);
#if CHECK_FUNCTIONAL
{
Vector3d portable_res;
PortableDNoise(portable_res , param);
if (fabs(portable_res[X] - result[X]) >= EPSILON)
{
throw POV_EXCEPTION_STRING("DNoise X error");
}
if (fabs(portable_res[Y] - result[Y]) >= EPSILON)
{
throw POV_EXCEPTION_STRING("DNoise Y error");
}
if (fabs(portable_res[Z] - result[Z]) >= EPSILON)
{
throw POV_EXCEPTION_STRING("DNoise Z error");
}
}
#endif
_mm256_zeroupper();
return;
}
DBL AVX2FMA3Noise(const Vector3d& EPoint, int noise_generator)
{
AVX2TABLETYPE *mp;
DBL sum = 0.0;
// TODO FIXME - global statistics reference
// Stats[Calls_To_Noise]++;
if (noise_generator == kNoiseGen_Perlin)
{
// The 1.59 and 0.985 are to correct for some biasing problems with
// the random # generator used to create the noise tables. Final
// range of values is about 5.0e-4 below 0.0 and above 1.0. Mean
// value is 0.49 (ideally it would be 0.5).
sum = 0.5 * (1.59 * SolidNoise(EPoint) + 0.985);
// Clamp final value to 0-1 range
if (sum < 0.0) sum = 0.0;
if (sum > 1.0) sum = 1.0;
return sum;
}
const __m256d ONE_PD = _mm256_set1_pd(1);
const __m128i short_si128 = _mm_set1_epi32(0xffff);
const __m256d xyzn = _mm256_setr_pd(EPoint[X], EPoint[Y], EPoint[Z], 0);
const __m256d epsy = _mm256_set1_pd(1.0 - EPSILON);
const __m256d xyzn_e = _mm256_sub_pd(xyzn, epsy);
const __m128i tmp_xyzn = _mm256_cvttpd_epi32(_mm256_blendv_pd(xyzn, xyzn_e, xyzn));
const __m128i noise_min_xyzn = _mm_setr_epi32(NOISE_MINX, NOISE_MINY, NOISE_MINZ, 0);
const __m256d xyz_ixyzn = _mm256_sub_pd(xyzn, _mm256_cvtepi32_pd(tmp_xyzn));
const __m256d xyz_jxyzn = _mm256_sub_pd(xyz_ixyzn, ONE_PD);
const __m128i i_xyzn = _mm_and_si128(_mm_sub_epi32(tmp_xyzn, noise_min_xyzn),
_mm_set1_epi32(0xfff));
const __m256d s_xyzn = _mm256_mul_pd(xyz_ixyzn,
_mm256_mul_pd(xyz_ixyzn,
_mm256_sub_pd(_mm256_set1_pd(3.0),
_mm256_add_pd(xyz_ixyzn, xyz_ixyzn))));
const __m256d t_xyzn = _mm256_sub_pd(ONE_PD, s_xyzn);
const __m256d txtysxsy = _mm256_permute2f128_pd(t_xyzn, s_xyzn, 0x20);
const __m256d txsxtxsx = PERMUTE4x64(txtysxsy, _MM_SHUFFLE(2, 0, 2, 0));
const __m256d tytysysy = PERMUTE4x64(txtysxsy, _MM_SHUFFLE(3, 3, 1, 1));
const __m256d txtysxtytxsysxsy = _mm256_mul_pd(txsxtxsx, tytysysy);
const __m256d incrsump_s1 = _mm256_mul_pd(txtysxtytxsysxsy, PERMUTE4x64(t_xyzn, _MM_SHUFFLE(2, 2, 2, 2)));
const __m256d incrsump_s2 = _mm256_mul_pd(txtysxtytxsysxsy, PERMUTE4x64(s_xyzn, _MM_SHUFFLE(2, 2, 2, 2)));
int ints[4];
_mm_storeu_si128((__m128i*)(ints), i_xyzn);
const int ixiy_hash = Hash2d(ints[0], ints[1]);
const int jxiy_hash = Hash2d(ints[0] + 1, ints[1]);
const int ixjy_hash = Hash2d(ints[0], ints[1] + 1);
const int jxjy_hash = Hash2d(ints[0] + 1, ints[1] + 1);
const int iz = ints[2];
const __m256d iii = _mm256_blend_pd(PERMUTE4x64(xyz_ixyzn, _MM_SHUFFLE(2, 1, 0, 0)), _mm256_set_pd(0, 0, 0, 0.5), 0x1);
const __m256d jjj = _mm256_blend_pd(PERMUTE4x64(xyz_jxyzn, _MM_SHUFFLE(2, 1, 0, 0)), _mm256_set_pd(0, 0, 0, 0.5), 0x1);
__m256d sumr = _mm256_setzero_pd();
__m256d sumr1 = _mm256_setzero_pd();
mp = &AVX2RTable[Hash1dRTableIndexAVX(ixiy_hash, iz)];
INCSUMAVX_NOBLEND(sumr, mp, PERMUTE4x64(incrsump_s1, _MM_SHUFFLE(0, 0, 0, 0)), iii);
mp = &AVX2RTable[Hash1dRTableIndexAVX(jxiy_hash, iz)];
INCSUMAVX(sumr1, mp, PERMUTE4x64(incrsump_s1, _MM_SHUFFLE(1, 1, 1, 1)), iii, jjj, 2);
mp = &AVX2RTable[Hash1dRTableIndexAVX(ixjy_hash, iz)];
INCSUMAVX(sumr, mp, PERMUTE4x64(incrsump_s1, _MM_SHUFFLE(2, 2, 2, 2)), iii, jjj, 4);
mp = &AVX2RTable[Hash1dRTableIndexAVX(jxjy_hash, iz)];
INCSUMAVX(sumr1, mp, PERMUTE4x64(incrsump_s1, _MM_SHUFFLE(3, 3, 3, 3)), iii, jjj, 6);
mp = &AVX2RTable[Hash1dRTableIndexAVX(ixiy_hash, iz + 1)];
INCSUMAVX(sumr, mp, PERMUTE4x64(incrsump_s2, _MM_SHUFFLE(0, 0, 0, 0)), iii, jjj, 8);
mp = &AVX2RTable[Hash1dRTableIndexAVX(jxiy_hash, iz + 1)];
INCSUMAVX(sumr1, mp, PERMUTE4x64(incrsump_s2, _MM_SHUFFLE(1, 1, 1, 1)), iii, jjj, 10);
mp = &AVX2RTable[Hash1dRTableIndexAVX(ixjy_hash, iz + 1)];
INCSUMAVX(sumr, mp, PERMUTE4x64(incrsump_s2, _MM_SHUFFLE(2, 2, 2, 2)), iii, jjj, 12);
mp = &AVX2RTable[Hash1dRTableIndexAVX(jxjy_hash, iz + 1)];
INCSUMAVX_NOBLEND(sumr1, mp, PERMUTE4x64(incrsump_s2, _MM_SHUFFLE(3, 3, 3, 3)), jjj);
{
sumr = _mm256_add_pd(sumr, sumr1);
__m128d sumr_up = _mm256_extractf128_pd(sumr,1);
sumr_up = _mm_add_pd(_mm256_castpd256_pd128(sumr),sumr_up);
sumr_up = _mm_hadd_pd(sumr_up,sumr_up);
sum = _mm_cvtsd_f64(sumr_up);
}
if (noise_generator == kNoiseGen_RangeCorrected)
{
/* details of range here:
Min, max: -1.05242, 0.988997
Mean: -0.0191481, Median: -0.535493, Std Dev: 0.256828
We want to change it to as close to [0,1] as possible.
*/
sum += 1.05242;
sum *= 0.48985582;
/*sum *= 0.5;
sum += 0.5;*/
if (sum < 0.0)
sum = 0.0;
if (sum > 1.0)
sum = 1.0;
}
else
{
sum = sum + 0.5; /* range at this point -0.5 - 0.5... */
if (sum < 0.0)
sum = 0.0;
if (sum > 1.0)
sum = 1.0;
}
#if CHECK_FUNCTIONAL
{
DBL orig_sum = PortableNoise(EPoint, noise_generator);
if (fabs(orig_sum - sum) >= EPSILON)
{
throw POV_EXCEPTION_STRING("Noise error");
}
}
#endif
_mm256_zeroupper();
return (sum);
}
/**
* Calculate all values in one step per pixel. Requires grabbing the neighboring pixels.
*/
FORCE_INLINE double single_pixel(
double *im, int center, int top, int left, int right, int bottom,
const __m256i mask1110,
const __m256d rgb0W,
const __m256d onehalf,
const __m256d minustwelvehalf){
// double r = im[center];
// double g = im[center+1];
// double b = im[center+2];
// double r1 = im[top];
// double g1 = im[top+1];
// double b1 = im[top+2];
// double r2 = im[left];
// double g2 = im[left+1];
// double b2 = im[left+2];
// double r3 = im[right];
// double g3 = im[right+1];
// double b3 = im[right+2];
// double r4 = im[bottom];
// double g4 = im[bottom+1];
// double b4 = im[bottom+2];
__m256d c = _mm256_maskload_pd(&(im[center]),mask1110);
__m256d c1 = _mm256_loadu_pd(&(im[top]));
__m256d c2 = _mm256_loadu_pd(&(im[left]));
__m256d c3 = _mm256_loadu_pd(&(im[right]));
__m256d c4 = _mm256_loadu_pd(&(im[bottom]));
COST_INC_LOAD(20);
// double grey = rw * r + gw * g + bw * b;
// double grey1 = rw * r1 + gw * g1 + bw * b1;
// double grey2 = rw * r2 + gw * g2 + bw * b2;
// double grey3 = rw * r3 + gw * g3 + bw * b3;
// double grey4 = rw * r4 + gw * g4 + bw * b4;
__m256d greyc = _mm256_mul_pd(c,rgb0W);
__m256d grey1 = _mm256_mul_pd(c1,rgb0W);
__m256d grey2 = _mm256_mul_pd(c2,rgb0W);
__m256d grey3 = _mm256_mul_pd(c3,rgb0W);
__m256d grey4 = _mm256_mul_pd(c4,rgb0W);
//AVX: double: horizontal add for 1 vector
__m256d c_perm = _mm256_permute2f128_pd(c, c, 0b00100001);//1,2
__m256d c_h = _mm256_hadd_pd(c,c_perm);
__m128d c_h_lo = _mm256_extractf128_pd (c_h, 0);// lo
__m128d c_h_hi = _mm256_extractf128_pd (c_h, 1);// hi
double c_hsum_lo = _mm_cvtsd_f64(c_h_lo);
double c_hsum_hi = _mm_cvtsd_f64(c_h_hi);
double c_hsum = c_hsum_lo + c_hsum_hi;
//AVX: double: horizontal add for 1 vector
__m256d greyc_perm = _mm256_permute2f128_pd(greyc, greyc, 0b00100001);//1,2
__m256d greyc_h = _mm256_hadd_pd(greyc,greyc_perm);
__m128d greyc_h_lo = _mm256_extractf128_pd (greyc_h, 0);// lo
__m128d greyc_h_hi = _mm256_extractf128_pd (greyc_h, 1);// hi
double greyc_hsum_lo = _mm_cvtsd_f64(greyc_h_lo);
double greyc_hsum_hi = _mm_cvtsd_f64(greyc_h_hi);
double greyc_hsum = greyc_hsum_lo + greyc_hsum_hi;
//AVX: _m256d: horizontal add for 4 vectors at once
__m256d grey12 = _mm256_hadd_pd(grey1,grey2);
__m256d grey34 = _mm256_hadd_pd(grey3,grey4);
__m256d grey_1234_blend = _mm256_blend_pd(grey12, grey34, 0b1100); //0011
__m256d grey_1234_perm = _mm256_permute2f128_pd(grey12, grey34, 0b00100001);//1,2
__m256d grey_1234 = _mm256_add_pd(grey_1234_perm, grey_1234_blend);
//AVX: double: horizontal add for 1 vector
__m256d grey1234_perm = _mm256_permute2f128_pd(grey_1234, grey_1234, 0b00100001);//1,2
__m256d grey1234_h = _mm256_hadd_pd(grey_1234,grey1234_perm);
__m128d grey1234_h_lo = _mm256_extractf128_pd (grey1234_h, 0);// lo
__m128d grey1234_h_hi = _mm256_extractf128_pd (grey1234_h, 1);// hi
double grey1234_hsum_lo = _mm_cvtsd_f64(grey1234_h_lo);
double grey1234_hsum_hi = _mm_cvtsd_f64(grey1234_h_hi);
double grey1234_sum = grey1234_hsum_lo + grey1234_hsum_hi;
COST_INC_ADD(10); //+ operations wasted on AVX
COST_INC_MUL(15); //+ operations wasted on AVX
double mu = c_hsum / 3.0;
COST_INC_ADD(2);
COST_INC_DIV(1);
// double rmu = r-mu;
// double gmu = g-mu;
// double bmu = b-mu;
__m256d c_mu = _mm256_set1_pd(mu);
__m256d c_rgbmu = _mm256_sub_pd(c,c_mu);
COST_INC_ADD(3); //+1 operations wasted on AVX
// double rz = r-0.5;
// double gz = g-0.5;
// double bz = b-0.5;
__m256d c_rgbz = _mm256_sub_pd(c,onehalf);
COST_INC_ADD(3); //+1 operations wasted on AVX
// double rzrz = rz*rz;
// double gzgz = gz*gz;
// double bzbz = bz*bz;
__m256d c_rgbz_sq = _mm256_mul_pd(c_rgbz,c_rgbz);
COST_INC_MUL(3); //+1 operations wasted on AVX
// double re = exp(-12.5*rzrz);
// double ge = exp(-12.5*gzgz);
// double be = exp(-12.5*bzbz);
__m256d c_rgbe_tmp = _mm256_mul_pd(minustwelvehalf,c_rgbz_sq);
__m128 c_rgbe_tmp_ps = _mm256_cvtpd_ps(c_rgbe_tmp);
__m128 c_rgbe_ps = exp_ps(c_rgbe_tmp_ps);
__m256d c_rgbe = _mm256_cvtps_pd(c_rgbe_ps);
COST_INC_EXP(3);
COST_INC_MUL(3); //+1 operations wasted on AVX
// double t1 = sqrt((rmu*rmu + gmu*gmu + bmu*bmu)/3.0);
__m256d c_rgbmu_sq = _mm256_mul_pd(c_rgbmu,c_rgbmu);
__m128d t1_tmp1_lo = _mm256_extractf128_pd (c_rgbmu_sq, 0);// lo
__m128d t1_tmp1_hi = _mm256_extractf128_pd (c_rgbmu_sq, 1);// hi
__m128d t1_tmp1_lo_sum = _mm_hadd_pd (t1_tmp1_lo, t1_tmp1_lo);
double t1_tmp1_hi_lo = _mm_cvtsd_f64(t1_tmp1_hi);
double t1_tmp1_lo_sum_lo = _mm_cvtsd_f64(t1_tmp1_lo_sum);
double t1_tmp1 = t1_tmp1_lo_sum_lo + t1_tmp1_hi_lo;
double t1_tmp2 = t1_tmp1 / 3.0;
double t1 = sqrt(t1_tmp2);
COST_INC_SQRT(1);
COST_INC_ADD(3);
COST_INC_MUL(3); //+1 operations wasted on AVX
COST_INC_DIV(1);
double t2 = fabs(t1);
COST_INC_ABS(1);
// double t3 = re*ge*be;
__m128d t3_tmp1_lo = _mm256_extractf128_pd (c_rgbe, 0);// lo
__m128d t3_tmp1_hi = _mm256_extractf128_pd (c_rgbe, 1);// hi
double t3_tmp1_lo_lo = _mm_cvtsd_f64(t3_tmp1_lo);
double t3_tmp1_hi_lo = _mm_cvtsd_f64(t3_tmp1_hi);
__m128d t3_tmp1_lo_swapped = _mm_permute_pd(t3_tmp1_lo, 1);// swap
double t3_tmp1_lo_hi = _mm_cvtsd_f64(t3_tmp1_lo_swapped);
double t3 = t3_tmp1_lo_lo * t3_tmp1_lo_hi * t3_tmp1_hi_lo;
COST_INC_MUL(2);
double t4 = fabs(t3);
COST_INC_ABS(1);
double t5 = t2 * t4;
COST_INC_MUL(1);
// double t6 = -4.0*grey+grey1+grey2+grey3+grey4;
double minusfour_times_grey = -4.0*greyc_hsum;
double t6 = minusfour_times_grey+grey1234_sum;
COST_INC_MUL(1);
COST_INC_ADD(2); //2 operations saved due to AVX
double t7 = fabs(t6);
COST_INC_ABS(1);
double t8 = t5 * t7;
COST_INC_MUL(1);
double t9 = t8 + 1.0E-12;
COST_INC_ADD(1);
return t9;
}
extern "C" YEP_PRIVATE_SYMBOL double sqrt(double x) {
const __m128d xmm = _mm_set_sd(x);
return _mm_cvtsd_f64(_mm_sqrt_sd(xmm, xmm));
}
