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|
#include <omp.h>
#include <immintrin.h>
#include <string.h>
#include <math.h>
#include "pll.h"
#include "mic_native.h"
static const int states = 4;
static const int statesSquare = 16;
static const int span = 4 * 4;
static const int maxStateValue = 16;
__inline void mic_broadcast16x64(const double* inv, double* outv)
{
__mmask8 k1 = _mm512_int2mask(0x0F);
__mmask8 k2 = _mm512_int2mask(0xF0);
for(int l = 0; l < 16; l += 2)
{
__m512d t = _mm512_setzero_pd();
t = _mm512_mask_extload_pd(t, k1, &inv[(l%4)*4 + l/4], _MM_UPCONV_PD_NONE, _MM_BROADCAST_1X8, _MM_HINT_NONE);
t = _mm512_mask_extload_pd(t, k2, &inv[((l+1)%4)*4 + (l+1)/4], _MM_UPCONV_PD_NONE, _MM_BROADCAST_1X8, _MM_HINT_NONE);
_mm512_store_pd(&outv[l*4], t);
}
}
void newviewGTRGAMMA_MIC(int tipCase,
double *x1, double *x2, double *x3, double *extEV, double *tipVector,
int *ex3, unsigned char *tipX1, unsigned char *tipX2,
int n, double *left, double *right, int *wgt, int *scalerIncrement, const pllBoolean fastScaling)
{
__m512d minlikelihood_MIC = _mm512_set1_pd(PLL_MINLIKELIHOOD);
__m512d twotothe256_MIC = _mm512_set1_pd(PLL_TWOTOTHE256);
__m512i absMask_MIC = _mm512_set1_epi64(0x7fffffffffffffffULL);
int addScale = 0;
double aEV[64] __attribute__((align(PLL_BYTE_ALIGNMENT)));
#pragma ivdep
for (int l = 0; l < 64; ++l)
{
aEV[l] = extEV[(l / 16) * 4 + (l % 4)];
}
switch(tipCase)
{
case PLL_TIP_TIP:
{
/* multiply all possible tip state vectors with the respective P-matrices
*/
double umpX1[256] __attribute__((align(PLL_BYTE_ALIGNMENT)));
double umpX2[256] __attribute__((align(PLL_BYTE_ALIGNMENT)));
for(int k = 0; k < 256; ++k)
{
umpX1[k] = 0.0;
umpX2[k] = 0.0;
}
for(int i = 0; i < maxStateValue; ++i)
{
for(int l = 0; l < states; ++l)
{
#pragma ivdep
for(int k = 0; k < span; ++k)
{
umpX1[16 * i + k] += tipVector[i * 4 + l] * left[k * 4 + l];
umpX2[16 * i + k] += tipVector[i * 4 + l] * right[k * 4 + l];
}
}
}
double auX[64] __attribute__((align(64)));
for(int i = 0; i < n; ++i)
{
_mm_prefetch((const char*) (const char*) &x3[span*(i+8)], _MM_HINT_ET1);
_mm_prefetch((const char*) &x3[span*(i+8) + 8], _MM_HINT_ET1);
_mm_prefetch((const char*) &x3[span*(i+1)], _MM_HINT_ET0);
_mm_prefetch((const char*) &x3[span*(i+1) + 8], _MM_HINT_ET0);
const double *uX1 = &umpX1[16 * tipX1[i]];
const double *uX2 = &umpX2[16 * tipX2[i]];
double uX[16] __attribute__((align(PLL_BYTE_ALIGNMENT)));
double* v = &x3[i * 16];
#pragma ivdep
#pragma vector aligned
for(int l = 0; l < 16; ++l)
{
uX[l] = uX1[l] * uX2[l];
v[l] = 0.;
}
mic_broadcast16x64(uX, auX);
for (int j = 0; j < 4; ++j)
{
#pragma ivdep
#pragma vector aligned
#pragma vector nontemporal
for(int k = 0; k < 16; ++k)
{
v[k] += auX[j*16 + k] * aEV[j*16 + k];
}
}
// init scaling counter for the site
if (!fastScaling)
ex3[i] = 0;
} // sites loop
}
break;
case PLL_TIP_INNER:
{
/* we do analogous pre-computations as above, with the only difference that we now do them
only for one tip vector */
double umpX1[256] __attribute__((align(PLL_BYTE_ALIGNMENT)));
/* precompute P and left tip vector product */
for(int k = 0; k < 256; ++k)
{
umpX1[k] = 0.0;
}
for(int i = 0; i < 16; ++i)
{
for(int l = 0; l < 4; ++l)
{
#pragma ivdep
for(int k = 0; k < 16; ++k)
{
umpX1[16 * i + k] += tipVector[i * 4 + l] * left[k * 4 + l];
}
}
}
// re-arrange right matrix for better memory layout
double aRight[64] __attribute__((align(PLL_BYTE_ALIGNMENT)));
for(int j = 0; j < 4; j++)
{
for(int l = 0; l < 16; l++)
{
aRight[j*16 + l] = right[l*4 + j];
}
}
for (int i = 0; i < n; i++)
{
_mm_prefetch((const char*) &x2[span*(i+16)], _MM_HINT_T1);
_mm_prefetch((const char*) &x2[span*(i+16) + 8], _MM_HINT_T1);
_mm_prefetch((const char*) &x3[span*(i+16)], _MM_HINT_ET1);
_mm_prefetch((const char*) &x3[span*(i+16) + 8], _MM_HINT_ET1);
_mm_prefetch((const char*) &x2[span*(i+1)], _MM_HINT_T0);
_mm_prefetch((const char*) &x2[span*(i+1) + 8], _MM_HINT_T0);
_mm_prefetch((const char*) &x3[span*(i+1)], _MM_HINT_ET0);
_mm_prefetch((const char*) &x3[span*(i+1) + 8], _MM_HINT_ET0);
/* access pre-computed value based on the raw sequence data tipX1 that is used as an index */
double* uX1 = &umpX1[span * tipX1[i]];
double uX2[16] __attribute__((align(PLL_BYTE_ALIGNMENT)));
double uX[16] __attribute__((align(PLL_BYTE_ALIGNMENT)));
#pragma vector aligned
for(int l = 0; l < 16; ++l)
{
uX2[l] = 0.;
}
double aV2[64] __attribute__((align(PLL_BYTE_ALIGNMENT)));
const double* v2 = &(x2[16 * i]);
mic_broadcast16x64(v2, aV2);
for(int j = 0; j < 4; j++)
{
#pragma ivdep
#pragma vector aligned
for(int l = 0; l < 16; l++)
{
uX2[l] += aV2[j*16 + l] * aRight[j*16 + l];
}
}
double* v3 = &(x3[span * i]);
#pragma ivdep
#pragma vector aligned
for(int l = 0; l < 16; ++l)
{
uX[l] = uX1[l] * uX2[l];
v3[l] = 0.;
}
double auX[64] __attribute__((align(PLL_BYTE_ALIGNMENT)));
mic_broadcast16x64(uX, auX);
for (int j = 0; j < 4; ++j)
{
#pragma ivdep
#pragma vector aligned
for(int k = 0; k < 16; ++k)
{
v3[k] += auX[j*16 + k] * aEV[j*16 + k];
}
}
__m512d t1 = _mm512_load_pd(&v3[0]);
t1 = _mm512_castsi512_pd(_mm512_and_epi64(_mm512_castpd_si512(t1), absMask_MIC));
double vmax1 = _mm512_reduce_gmax_pd(t1);
__m512d t2 = _mm512_load_pd(&v3[8]);
t2 = _mm512_castsi512_pd(_mm512_and_epi64(_mm512_castpd_si512(t2), absMask_MIC));
double vmax2 = _mm512_reduce_gmax_pd(t2);
if(vmax1 < PLL_MINLIKELIHOOD && vmax2 < PLL_MINLIKELIHOOD)
{
t1 = _mm512_mul_pd(t1, twotothe256_MIC);
_mm512_store_pd(&v3[0], t1);
t2 = _mm512_mul_pd(t2, twotothe256_MIC);
_mm512_store_pd(&v3[8], t2);
if(!fastScaling)
ex3[i] += 1;
else
addScale += wgt[i];
}
} // site loop
}
break;
case PLL_INNER_INNER:
{
/* same as above, without pre-computations */
// re-arrange right matrix for better memory layout
double aLeft[64] __attribute__((align(PLL_BYTE_ALIGNMENT)));
double aRight[64] __attribute__((align(PLL_BYTE_ALIGNMENT)));
for(int j = 0; j < 4; j++)
{
for(int l = 0; l < 16; l++)
{
aLeft[j*16 + l] = left[l*4 + j];
aRight[j*16 + l] = right[l*4 + j];
}
}
for (int i = 0; i < n; i++)
{
_mm_prefetch((const char*) &x1[span*(i+8)], _MM_HINT_T1);
_mm_prefetch((const char*) &x1[span*(i+8) + 8], _MM_HINT_T1);
_mm_prefetch((const char*) &x2[span*(i+8)], _MM_HINT_T1);
_mm_prefetch((const char*) &x2[span*(i+8) + 8], _MM_HINT_T1);
_mm_prefetch((const char*) &x3[span*(i+8)], _MM_HINT_ET1);
_mm_prefetch((const char*) &x3[span*(i+8) + 8], _MM_HINT_ET1);
_mm_prefetch((const char*) &x1[span*(i+1)], _MM_HINT_T0);
_mm_prefetch((const char*) &x1[span*(i+1) + 8], _MM_HINT_T0);
_mm_prefetch((const char*) &x2[span*(i+1)], _MM_HINT_T0);
_mm_prefetch((const char*) &x2[span*(i+1) + 8], _MM_HINT_T0);
_mm_prefetch((const char*) &x3[span*(i+1)], _MM_HINT_ET0);
_mm_prefetch((const char*) &x3[span*(i+1) + 8], _MM_HINT_ET0);
double uX1[16] __attribute__((align(64)));
double uX2[16] __attribute__((align(64)));
double uX[16] __attribute__((align(64)));
for(int l = 0; l < 16; l++)
{
uX1[l] = 0.;
uX2[l] = 0.;
}
double aV1[64] __attribute__((align(64)));
double aV2[64] __attribute__((align(64)));
const double* v1 = &(x1[span * i]);
const double* v2 = &(x2[span * i]);
mic_broadcast16x64(v1, aV1);
mic_broadcast16x64(v2, aV2);
for(int j = 0; j < 4; j++)
{
#pragma ivdep
#pragma vector aligned
for(int l = 0; l < 16; l++)
{
uX1[l] += aV1[j*16 + l] * aLeft[j*16 + l];
uX2[l] += aV2[j*16 + l] * aRight[j*16 + l];
}
}
double* v3 = &(x3[span * i]);
#pragma ivdep
#pragma vector aligned
for(int l = 0; l < 16; ++l)
{
uX[l] = uX1[l] * uX2[l];
v3[l] = 0.;
}
double auX[64] __attribute__((align(64)));
mic_broadcast16x64(uX, auX);
for(int j = 0; j < 4; ++j)
{
#pragma ivdep
#pragma vector aligned
for(int k = 0; k < 16; ++k)
{
v3[k] += auX[j*16 + k] * aEV[j*16 + k];
}
}
__m512d t1 = _mm512_load_pd(&v3[0]);
t1 = _mm512_castsi512_pd(_mm512_and_epi64(_mm512_castpd_si512(t1), absMask_MIC));
double vmax1 = _mm512_reduce_gmax_pd(t1);
__m512d t2 = _mm512_load_pd(&v3[8]);
t2 = _mm512_castsi512_pd(_mm512_and_epi64(_mm512_castpd_si512(t2), absMask_MIC));
double vmax2 = _mm512_reduce_gmax_pd(t2);
if(vmax1 < PLL_MINLIKELIHOOD && vmax2 < PLL_MINLIKELIHOOD)
{
t1 = _mm512_mul_pd(t1, twotothe256_MIC);
_mm512_store_pd(&v3[0], t1);
t2 = _mm512_mul_pd(t2, twotothe256_MIC);
_mm512_store_pd(&v3[8], t2);
if(!fastScaling)
ex3[i] += 1;
else
addScale += wgt[i];
}
}
} break;
default:
// assert(0);
break;
}
/* as above, increment the global counter that counts scaling multiplications by the scaling multiplications
carried out for computing the likelihood array at node p */
if (fastScaling)
{
*scalerIncrement = addScale;
}
}
double evaluateGTRGAMMA_MIC(int *ex1, int *ex2, int *wgt,
double *x1_start, double *x2_start,
double *tipVector,
unsigned char *tipX1, const int n, double *diagptable, const pllBoolean fastScaling)
{
double sum = 0.0;
/* the left node is a tip */
if(tipX1)
{
double aTipVec[256] __attribute__((align(PLL_BYTE_ALIGNMENT)));
for(int k = 0; k < 16; k++)
{
for(int l = 0; l < 4; l++)
{
aTipVec[k*16 + l] = aTipVec[k*16 + 4 + l] = aTipVec[k*16 + 8 + l] = aTipVec[k*16 + 12 + l] = tipVector[k*4 + l];
}
}
/* loop over the sites of this partition */
for (int i = 0; i < n; i++)
{
_mm_prefetch((const char*) &x2_start[span*(i+8)], _MM_HINT_T1);
_mm_prefetch((const char*) &x2_start[span*(i+8) + 8], _MM_HINT_T1);
_mm_prefetch((const char*) &x2_start[span*(i+1)], _MM_HINT_T0);
_mm_prefetch((const char*) &x2_start[span*(i+1) + 8], _MM_HINT_T0);
/* access pre-computed tip vector values via a lookup table */
const double *x1 = &(aTipVec[16 * tipX1[i]]);
/* access the other(inner) node at the other end of the branch */
const double *x2 = &(x2_start[span * i]);
double term = 0.;
#pragma ivdep
#pragma vector aligned
for(int j = 0; j < span; j++)
term += x1[j] * x2[j] * diagptable[j];
if(!fastScaling)
term = log(0.25 * term) + (ex2[i] * log(PLL_MINLIKELIHOOD));
else
term = log(0.25 * term);
sum += wgt[i] * term;
}
}
else
{
for (int i = 0; i < n; i++)
{
_mm_prefetch((const char*) &x1_start[span*(i+8)], _MM_HINT_T1);
_mm_prefetch((const char*) &x1_start[span*(i+8) + 8], _MM_HINT_T1);
_mm_prefetch((const char*) &x2_start[span*(i+8)], _MM_HINT_T1);
_mm_prefetch((const char*) &x2_start[span*(i+8) + 8], _MM_HINT_T1);
_mm_prefetch((const char*) &x1_start[span*(i+1)], _MM_HINT_T0);
_mm_prefetch((const char*) &x1_start[span*(i+1) + 8], _MM_HINT_T0);
_mm_prefetch((const char*) &x2_start[span*(i+1)], _MM_HINT_T0);
_mm_prefetch((const char*) &x2_start[span*(i+1) + 8], _MM_HINT_T0);
const double *x1 = &(x1_start[span * i]);
const double *x2 = &(x2_start[span * i]);
double term = 0.;
#pragma ivdep
#pragma vector aligned
for(int j = 0; j < span; j++)
term += x1[j] * x2[j] * diagptable[j];
if(!fastScaling)
term = log(0.25 * fabs(term)) + ((ex1[i] + ex2[i]) * log(PLL_MINLIKELIHOOD));
else
term = log(0.25 * term);
sum += wgt[i] * term;
}
}
return sum;
}
void sumGTRGAMMA_MIC(int tipCase, double *sumtable, double *x1_start, double *x2_start, double *tipVector,
unsigned char *tipX1, unsigned char *tipX2, int n)
{
double aTipVec[256] __attribute__((align(PLL_BYTE_ALIGNMENT)));
for(int k = 0; k < 16; k++)
{
for(int l = 0; l < 4; l++)
{
aTipVec[k*16 + l] = aTipVec[k*16 + 4 + l] = aTipVec[k*16 + 8 + l] = aTipVec[k*16 + 12 + l] = tipVector[k*4 + l];
}
}
switch(tipCase)
{
case PLL_TIP_TIP:
{
for(int i = 0; i < n; i++)
{
const double *left = &(aTipVec[16 * tipX1[i]]);
const double *right = &(aTipVec[16 * tipX2[i]]);
double* sum = &sumtable[i * span];
#pragma ivdep
#pragma vector aligned nontemporal
for(int l = 0; l < span; l++)
{
sum[l] = left[l] * right[l];
}
}
} break;
case PLL_TIP_INNER:
{
for(int i = 0; i < n; i++)
{
_mm_prefetch((const char*) &x2_start[span*(i+32)], _MM_HINT_T1);
_mm_prefetch((const char*) &x2_start[span*(i+32) + 8], _MM_HINT_T1);
_mm_prefetch((const char*) &x2_start[span*(i+4)], _MM_HINT_T0);
_mm_prefetch((const char*) &x2_start[span*(i+4) + 8], _MM_HINT_T0);
const double *left = &(aTipVec[16 * tipX1[i]]);
const double *right = &(x2_start[span * i]);
double* sum = &sumtable[i * span];
#pragma ivdep
#pragma vector aligned nontemporal
for(int l = 0; l < span; l++)
{
sum[l] = left[l] * right[l];
}
}
} break;
case PLL_INNER_INNER:
{
for(int i = 0; i < n; i++)
{
_mm_prefetch((const char*) &x1_start[span*(i+32)], _MM_HINT_T1);
_mm_prefetch((const char*) &x1_start[span*(i+32) + 8], _MM_HINT_T1);
_mm_prefetch((const char*) &x2_start[span*(i+32)], _MM_HINT_T1);
_mm_prefetch((const char*) &x2_start[span*(i+32) + 8], _MM_HINT_T1);
_mm_prefetch((const char*) &x1_start[span*(i+4)], _MM_HINT_T0);
_mm_prefetch((const char*) &x1_start[span*(i+4) + 8], _MM_HINT_T0);
_mm_prefetch((const char*) &x2_start[span*(i+4)], _MM_HINT_T0);
_mm_prefetch((const char*) &x2_start[span*(i+4) + 8], _MM_HINT_T0);
const double *left = &(x1_start[span * i]);
const double *right = &(x2_start[span * i]);
double* sum = &sumtable[i * span];
#pragma ivdep
#pragma vector aligned nontemporal
for(int l = 0; l < span; l++)
{
sum[l] = left[l] * right[l];
}
}
} break;
// default:
// assert(0);
}
}
void coreGTRGAMMA_MIC(const int upper, double *sumtable,
volatile double *ext_dlnLdlz, volatile double *ext_d2lnLdlz2, double *EIGN, double *gammaRates, double lz, int *wgt)
{
double diagptable0[16] __attribute__((align(PLL_BYTE_ALIGNMENT)));
double diagptable1[16] __attribute__((align(PLL_BYTE_ALIGNMENT)));
double diagptable2[16] __attribute__((align(PLL_BYTE_ALIGNMENT)));
double diagptable01[16] __attribute__((align(PLL_BYTE_ALIGNMENT)));
double diagptable02[16] __attribute__((align(PLL_BYTE_ALIGNMENT)));
/* pre-compute the derivatives of the P matrix for all discrete GAMMA rates */
for(int i = 0; i < 4; i++)
{
const double ki = gammaRates[i];
const double kisqr = ki * ki;
diagptable0[i*4] = 1.;
diagptable1[i*4] = 0.;
diagptable2[i*4] = 0.;
for(int l = 1; l < states; l++)
{
diagptable0[i * 4 + l] = exp(EIGN[l] * ki * lz);
diagptable1[i * 4 + l] = EIGN[l] * ki;
diagptable2[i * 4 + l] = EIGN[l] * EIGN[l] * kisqr;
}
}
#pragma ivdep
for(int i = 0; i < 16; i++)
{
diagptable01[i] = diagptable0[i] * diagptable1[i];
diagptable02[i] = diagptable0[i] * diagptable2[i];
}
/* loop over sites in this partition */
const int aligned_width = upper % 8 == 0 ? upper / 8 : upper / 8 + 1;
double dlnLBuf[8] __attribute__((align(PLL_BYTE_ALIGNMENT)));
double d2lnLBuf[8] __attribute__((align(PLL_BYTE_ALIGNMENT)));
for (int j = 0; j < 8; ++j)
{
dlnLBuf[j] = 0.;
d2lnLBuf[j] = 0.;
}
__mmask16 k1 = _mm512_int2mask(0x000000FF);
for (int i = 0; i < aligned_width; i++)
{
_mm_prefetch((const char*) &sumtable[i * span * 8], _MM_HINT_T0);
_mm_prefetch((const char*) &sumtable[i * span * 8 + 8], _MM_HINT_T0);
/* access the array with pre-computed values */
const double *sum = &sumtable[i * span * 8];
/* initial per-site likelihood and 1st and 2nd derivatives */
double invBuf[8] __attribute__((align(64)));
double d1Buf[8] __attribute__((align(64)));
double d2Buf[8] __attribute__((align(64)));
__m512d invVec;
__m512d d1Vec;
__m512d d2Vec;
int mask = 0x01;
#pragma noprefetch sum
#pragma unroll(8)
for(int j = 0; j < 8; j++)
{
_mm_prefetch((const char*) &sum[span*(j+8)], _MM_HINT_T1);
_mm_prefetch((const char*) &sum[span*(j+8) + 8], _MM_HINT_T1);
_mm_prefetch((const char*) &sum[span*(j+1)], _MM_HINT_T0);
_mm_prefetch((const char*) &sum[span*(j+1) + 8], _MM_HINT_T0);
__m512d d0_1 = _mm512_load_pd(&diagptable0[0]);
__m512d d0_2 = _mm512_load_pd(&diagptable0[8]);
__m512d d01_1 = _mm512_load_pd(&diagptable01[0]);
__m512d d01_2 = _mm512_load_pd(&diagptable01[8]);
__m512d d02_1 = _mm512_load_pd(&diagptable02[0]);
__m512d d02_2 = _mm512_load_pd(&diagptable02[8]);
__m512d s_1 = _mm512_load_pd(&sum[j*16]);
__m512d s_2 = _mm512_load_pd(&sum[j*16 + 8]);
__m512d inv_1 = _mm512_mul_pd(d0_1, s_1);
__m512d d1_1 = _mm512_mul_pd(d01_1, s_1);
__m512d d2_1 = _mm512_mul_pd(d02_1, s_1);
__m512d inv_2 = _mm512_fmadd_pd(d0_2, s_2, inv_1);
__m512d d1_2 = _mm512_fmadd_pd(d01_2, s_2, d1_1);
__m512d d2_2 = _mm512_fmadd_pd(d02_2, s_2, d2_1);
__mmask8 k1 = _mm512_int2mask(mask);
mask <<= 1;
// reduce
inv_2 = _mm512_add_pd (inv_2, _mm512_swizzle_pd(inv_2, _MM_SWIZ_REG_CDAB));
inv_2 = _mm512_add_pd (inv_2, _mm512_swizzle_pd(inv_2, _MM_SWIZ_REG_BADC));
inv_2 = _mm512_add_pd (inv_2, _mm512_castsi512_pd(_mm512_permute4f128_epi32(_mm512_castpd_si512(inv_2), _MM_PERM_BADC)));
invVec = _mm512_mask_mov_pd(invVec, k1, inv_2);
d1_2 = _mm512_add_pd (d1_2, _mm512_swizzle_pd(d1_2, _MM_SWIZ_REG_CDAB));
d1_2 = _mm512_add_pd (d1_2, _mm512_swizzle_pd(d1_2, _MM_SWIZ_REG_BADC));
d1_2 = _mm512_add_pd (d1_2, _mm512_castsi512_pd(_mm512_permute4f128_epi32(_mm512_castpd_si512(d1_2), _MM_PERM_BADC)));
d1Vec = _mm512_mask_mov_pd(d1Vec, k1, d1_2);
d2_2 = _mm512_add_pd (d2_2, _mm512_swizzle_pd(d2_2, _MM_SWIZ_REG_CDAB));
d2_2 = _mm512_add_pd (d2_2, _mm512_swizzle_pd(d2_2, _MM_SWIZ_REG_BADC));
d2_2 = _mm512_add_pd (d2_2, _mm512_castsi512_pd(_mm512_permute4f128_epi32(_mm512_castpd_si512(d2_2), _MM_PERM_BADC)));
d2Vec = _mm512_mask_mov_pd(d2Vec, k1, d2_2);
}
_mm512_store_pd(&invBuf[0], invVec);
_mm512_store_pd(&d1Buf[0], d1Vec);
_mm512_store_pd(&d2Buf[0], d2Vec);
#pragma ivdep
#pragma vector aligned
for (int j = 0; j < 8; ++j)
{
const double inv_Li = 1.0 / invBuf[j];
const double d1 = d1Buf[j] * inv_Li;
const double d2 = d2Buf[j] * inv_Li;
dlnLBuf[j] += wgt[i * 8 + j] * d1;
d2lnLBuf[j] += wgt[i * 8 + j] * (d2 - d1 * d1);
}
} // site loop
double dlnLdlz = 0.;
double d2lnLdlz2 = 0.;
for (int j = 0; j < 8; ++j)
{
dlnLdlz += dlnLBuf[j];
d2lnLdlz2 += d2lnLBuf[j];
}
*ext_dlnLdlz = dlnLdlz;
*ext_d2lnLdlz2 = d2lnLdlz2;
}
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