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#include <stdio.h>
#include <math.h>
#include <cblas.h>
#include "mrses.h"
int atlas_spotrf2(const int N, MRSESDataType *A, const int lda)
{
int j;
MRSESDataType Ajj, *Ac=A, *An=A+lda;
for (j=0; j != N; j++)
{
Ajj = Ac[j] - cblas_sdot(j, Ac, 1, Ac, 1);
if (Ajj > 0)
{
Ac[j] = Ajj = sqrt(Ajj);
if (j != N-1)
{
cblas_sgemv(CblasColMajor, CblasTrans, j, N-j-1, -1,
An, lda, Ac, 1, 1, An+j, lda);
cblas_sscal(N-j-1, 1/Ajj, An+j, lda);
Ac = An;
An += lda;
}
}
else
{
Ac[j] = Ajj;
return(j+1);
}
}
return(0);
}
#define TYPE MRSESDataType
#define ATL_rzero 0
#define ATL_rone 1
#define ATL_rnone -1
#define ONE ATL_rone
inline int ATL_potrfU_4(TYPE *A, const short int lda)
{
TYPE *pA1=A+lda, *pA2=pA1+lda, *pA3=pA2+lda;
TYPE L11 = *A, L21 = *pA1, L31 = *pA2, L41 = *pA3;
TYPE L22 = pA1[1], L32 = pA2[1], L42 = pA3[1];
TYPE L33 = pA2[2], L43 = pA3[2];
TYPE L44 = pA3[3];
int iret=0;
if (L11 > ATL_rzero)
{
*A = L11 = sqrt(L11);
L11 = ATL_rone / L11;
L21 *= L11;
L31 *= L11;
L41 *= L11;
*pA1 = L21; *pA2 = L31; *pA3 = L41;
L22 -= L21*L21;
if (L22 > ATL_rzero)
{
pA1[1] = L22 = sqrt(L22);
L22 = ATL_rone / L22;
L32 = (L32 - L31*L21) * L22;
L42 = (L42 - L41*L21) * L22;
L33 -= L31*L31 + L32*L32;
pA2[1] = L32; pA3[1] = L42;
if (L33 > ATL_rzero)
{
pA2[2] = L33 = sqrt(L33);
L43 = (L43 - L41*L31 - L42*L32) / L33;
L44 -= L41*L41 + L42*L42 + L43*L43;
pA3[2] = L43;
if (L44 > ATL_rzero)
{
pA3[3] = sqrt(L44);
return(0);
}
else iret=4;
}
else iret=3;
}
else iret=2;
}
else iret=1;
return(iret);
}
inline int ATL_potrfU_3(TYPE *A, const short int lda)
{
TYPE *pA1=A+lda, *pA2=pA1+lda;
register TYPE L11 = *A, L21 = *pA1, L31 = *pA2;
register TYPE L22=pA1[1], L32=pA2[1];
register TYPE L33=pA2[2];
int iret=0;
if (L11 > ATL_rzero)
{
*A = L11 = sqrt(L11);
L11 = ATL_rone / L11;
L21 *= L11;
L31 *= L11;
*pA1 = L21; *pA2 = L31;
L22 -= L21*L21;
if (L22 > ATL_rzero)
{
L22 = sqrt(L22);
L32 = (L32 - L31*L21) / L22;
L33 -= L31*L31 + L32*L32;
pA1[1] = L22; pA2[1] = L32;
if (L33 > ATL_rzero)
{
pA2[2] = sqrt(L33);
return(0);
}
else iret=3;
}
else iret=2;
}
else iret=1;
return(iret);
}
inline int ATL_potrfU_2(TYPE *A, const short int lda)
{
TYPE *pA1 = A+lda;
register TYPE L11=*A, L21=*pA1, L22 = pA1[1];
if (L11 > ATL_rzero)
{
*A = L11 = sqrt(L11);
*pA1 = L21 = L21 / L11;
L22 -= L21*L21;
if (L22 > ATL_rzero)
{
pA1[1] = sqrt(L22);
return(0);
}
else return(2);
}
else return(1);
}
#define BASE float
#define INDEX short int
inline void
gsl_cblas_strsm_clut_1 (const short int M, const short int N, const float *A, float *B, const short int lda)
{
register short int i, j, k;
float Ajj, Bij;
for (i = 0; i < N; i++) {
for (j = 0; j < M; j++) {
Ajj = A[lda * j + j];
Bij = B[lda * i + j] / Ajj;
B[lda * i + j] = Bij;
for (k = j + 1; k < M; k++) {
B[lda * i + k] -= A[k * lda + j] * Bij;
}
}
}
}
inline void
gsl_cblas_ssyrk_cut_m11 (const short int N, const short int M, const float *A, float *C, const short int lda) {
register short int i, j, k;
for (i = 0; i < N; i++) {
for (j = 0; j <= i; j++) {
float temp = 0.0;
for (k = 0; k < M; k++) {
temp += A[i * lda + k] * A[j * lda + k];
}
C[i * lda + j] -= temp;
}
}
}
inline void gsl_spotrf_step(const short int M, const short int N, float *A, const short int lda) {
register short int i, j, k;
float *B = A + M*lda;
float *C = B + M;
for (i = 0; i < N; i++) {
for (j = 0; j < M; j++) {
float sum = 0;
for (k = 0; k < j; k++) {
sum += A[j * lda + k] * B[i * lda + k];
}
B[i * lda + j] = (B[i * lda + j] - sum) / A[j * lda + j];
}
for (j = 0; j <= i; j++) {
float temp = 0.0;
for (k = 0; k < M; k++) {
temp += B[i * lda + k] * B[j * lda + k];
}
C[i * lda + j] -= temp;
}
}
}
int atlas_spotrf_u(const short int N, TYPE *A, const short int lda)
{
TYPE *Ac, *An;
short int Nleft, Nright, ierr;
if (N > 4)
{
Nleft = N >> 1;
Nright = N - Nleft;
ierr = atlas_spotrf_u(Nleft, A, lda);
if (!ierr)
{
Ac = A + lda * Nleft;
An = Ac + Nleft; //SHIFT;
gsl_spotrf_step(Nleft, Nright, A, lda);
/*
// gsl_cblas_strsm_clut_1(Nleft, Nright, A, Ac, lda);
// gsl_cblas_ssyrk_cut_m11(Nright, Nleft, Ac, An, lda);
// cblas_strsm(CblasColMajor, CblasLeft, CblasUpper, CblasTrans,
// CblasNonUnit, Nleft, Nright, ONE, A, lda, Ac, lda);
// cblas_ssyrk(CblasColMajor, CblasUpper, CblasTrans, Nright, Nleft,
// ATL_rnone, Ac, lda, ATL_rone, An, lda);
*/
ierr = atlas_spotrf_u(Nright, An, lda);
if (ierr) return(ierr+Nleft);
}
else return(ierr);
}
else if (N==4) return(ATL_potrfU_4(A, lda));
else if (N==3) return(ATL_potrfU_3(A, lda));
else if (N==2) return(ATL_potrfU_2(A, lda));
else if (N==1)
{
if (*A > ATL_rzero) *A = sqrt(*A);
else return(1);
}
return(0);
}
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