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/* Copyright (C) 2017 - IIT Bombay - FOSSEE
This file must be used under the terms of the CeCILL.
This source file is licensed as described in the file COPYING, which
you should have received as part of this distribution. The terms
are also available at
http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
Author: Sandeep Gupta
Organization: FOSSEE, IIT Bombay
Email: toolbox@scilab.in
*/
#include "svd.h"
#include "lapack.h"
#include <stdio.h>
#include <stdlib.h>
#include "string.h"
#include "doubleComplex.h"
#include "matrixTranspose.h"
#include "conj.h"
/* Lapack functions used . */
extern doubleComplex zgesvd_( char* , char* , int* , int* ,doubleComplex *,\
int* , double* ,doubleComplex* , int* ,doubleComplex* , int* ,\
doubleComplex* , int* , double* , int* );
int Min(int a,int b){
if(a > b)
return b;
return a;
}
int Max(int a,int b){
if(a > b)
return a;
else
return b;
}
void zsvda(doubleComplex *in1,int row,int col,int in2,int nout, doubleComplex *out1,\
doubleComplex *out2,doubleComplex *out3){
/* Allocating memory and copying the input in buf*/
doubleComplex *buf;
buf = (doubleComplex *)malloc(row*col*sizeof(doubleComplex));
memcpy(buf,in1,row*col*sizeof(doubleComplex));
/* Type of variable used */
int i,j,k;
char JOBU,JOBVT;
int M = row;
int N = col;
int LDA,LDU,LDVT,LWORK,INFO;
/*double precision array to store Sigma*/
double *S;
S = (double *)malloc(Min(M,N)*sizeof(double));
/* amount of memory needed for work */
LWORK = Max(1,2*Min(M,N)+Max(M,N));
doubleComplex *WORK = malloc(Max(1,2*LWORK)*sizeof(doubleComplex));
double *RWORK;
RWORK = (double *)malloc(5*Min(M,N)*sizeof(double));
INFO = 0;
if(nout == 1){
JOBU = 'N';
JOBVT = 'N';
LDA = M;
LDU = M;
LDVT = N;
//doubleComplex *U,*VT;
//U = malloc(sizeof(doubleComplex));
//VT = malloc(sizeof(doubleComplex));
zgesvd_(&JOBU,&JOBVT,&M,&N,buf,&LDA,S,NULL,&LDU,NULL,&LDVT,WORK,&LWORK,RWORK,&INFO);
//memcpy(out2,S,Min(M,N)*sizeof(double));
for(i=0;i<Min(M,N);i++){
out2[i] = DoubleComplex(S[i],0);
//out2[i] = S[i];
//out2[i] = 0;
}
out1 = NULL;
out3 = NULL;
//for(i=0;i<Min(M,N);i++) printf("%lf ",S[i]);
//free(S);
}
else if(nout == 3){
if(in2 == 0 || M == N){
JOBU = 'A';
JOBVT = 'A';
LDA = M;
LDU = M;
LDVT = N;
doubleComplex *U = malloc(LDU*M*sizeof(doubleComplex));
doubleComplex *VT = malloc(LDVT*N*sizeof(doubleComplex));
/*doubleComplex wopt;
LWORK = -1;
zgesvd_(&JOBU,&JOBVT,&M,&N,buf,&LDA,S,U,&LDU,VT,&LDVT,&wopt,&LWORK,RWORK,&INFO);*/
//LWORK = (int)zreals(wopt);
WORK = (doubleComplex *)malloc(LWORK*sizeof(doubleComplex));
zgesvd_(&JOBU,&JOBVT,&M,&N,buf,&LDA,S,U,&LDU,VT,&LDVT,WORK,&LWORK,RWORK,&INFO);
memcpy(out1,U,LDU*Min(M,N)*sizeof(doubleComplex));
//memcpy(out3,VT,N*N*sizeof(doubleComplex));
for(i=0;i<N;i++){
for(j=i;j<N;j++){
out3[i+j*N] = zconjs(VT[j+i*N]);
out3[j+i*N] = zconjs(VT[i+j*N]);
}
}
/* output from zgesvd is copied to out2 variables in required format*/
for(j=0;j<M;j++){
for(k=0;k<N;k++){
if(j == k)
out2[j*(Min(M,N))+k] = DoubleComplex(S[j],0);
else
out2[j*(Min(M,N))+k] = DoubleComplex(0,0);
}
}
//ztransposea(VT,LDVT,Min(M,N),out3);
/*for(i=0;i<N;i++){
for(j=0;j<N;j++){
printf("[ %lf %lf]",zreals(VT[i*N+j]),zimags(VT[i*N+j]));
}
printf("\n");
}*/
//free(U);
//free(VT);
}
else{ /*svd(x,'e')*/
LDA = M;
LDU = M;
if(M > N){
JOBU = 'S';
JOBVT = 'A';
LDVT = N;
}
else{
JOBU = 'A';
JOBVT = 'S';
LDVT = Min(M,N);
}
doubleComplex *U;
U = malloc(LDU*Min(M,N)*sizeof(doubleComplex));
doubleComplex *VT;
VT = malloc(LDVT*N*sizeof(doubleComplex));
zgesvd_(&JOBU,&JOBVT,&M,&N,buf,&LDA,S,U,&LDU,VT,&LDVT,WORK,&LWORK,RWORK,&INFO);
memcpy(out1,U,M*Min(M,N)*sizeof(doubleComplex));
//ztransposea(VT,LDVT,Min(row,col),out3);
/* These lines are added to patch an error of ZGESVD */
/*
ij = i+(j-1)*N
ji = j+(i-1)*N
zstk(lV+ij-1) = conjg(zstk(lVT+ji-1))
zstk(lV+ji-1) = conjg(zstk(lVT+ij-1))
*/
for(i=0;i<Min(M,N);i++){
for(j=0;j<N;j++){
out3[j+i*N] = zconjs(VT[i+j*Min(M,N)]);
}
}
/* output from zgesvd is copied to out2 variables in required format*/
for(j=0;j<Min(M,N);j++){
for(k=0;k<Min(M,N);k++){
if(j == k)
out2[j*(Min(M,N))+k] = DoubleComplex(S[j],0);
else
out2[j*(Min(M,N))+k] = DoubleComplex(0,0);
}
}
//free(U);
//free(VT);
}
}
}
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