/*! @file zpanel_bmod.c

 * \brief Performs numeric block updates

 *

 * 

 * -- SuperLU routine (version 3.0) --

 * Univ. of California Berkeley, Xerox Palo Alto Research Center,

 * and Lawrence Berkeley National Lab.

 * October 15, 2003

 *

 * Copyright (c) 1994 by Xerox Corporation.  All rights reserved.

 *

 * THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY

 * EXPRESSED OR IMPLIED.  ANY USE IS AT YOUR OWN RISK.

 * 

 * Permission is hereby granted to use or copy this program for any

 * purpose, provided the above notices are retained on all copies.

 * Permission to modify the code and to distribute modified code is

 * granted, provided the above notices are retained, and a notice that

 * the code was modified is included with the above copyright notice.

 * 

 */

/*

*/

#include <stdio.h></stdio.h>

#include <stdlib.h></stdlib.h>

#include "slu_zdefs.h"

/* 

 * Function prototypes 

 */

void zlsolve(int, int, doublecomplex *, doublecomplex *);

void zmatvec(int, int, int, doublecomplex *, doublecomplex *, doublecomplex *);

extern void zcheck_tempv();

/*! \brief

 *

 * 

 * Purpose

 * =======

 *

 *    Performs numeric block updates (sup-panel) in topological order.

 *    It features: col-col, 2cols-col, 3cols-col, and sup-col updates.

 *    Special processing on the supernodal portion of L\U[*,j]

 *

 *    Before entering this routine, the original nonzeros in the panel 

 *    were already copied into the spa[m,w].

 *

 *    Updated/Output parameters-

 *    dense[0:m-1,w]: L[*,j:j+w-1] and U[*,j:j+w-1] are returned 

 *    collectively in the m-by-w vector dense[*]. 

 * 

 */

void

zpanel_bmod (

	    const int  m,          /* in - number of rows in the matrix */

	    const int  w,          /* in */

	    const int  jcol,       /* in */

	    const int  nseg,       /* in */

	    doublecomplex     *dense,     /* out, of size n by w */

	    doublecomplex     *tempv,     /* working array */

	    int        *segrep,    /* in */

	    int        *repfnz,    /* in, of size n by w */

	    GlobalLU_t *Glu,       /* modified */

	    SuperLUStat_t *stat    /* output */

	    )

{

#ifdef USE_VENDOR_BLAS

#ifdef _CRAY

    _fcd ftcs1 = _cptofcd("L", strlen("L")),

         ftcs2 = _cptofcd("N", strlen("N")),

         ftcs3 = _cptofcd("U", strlen("U"));

#endif

    int          incx = 1, incy = 1;

    doublecomplex       alpha, beta;

#endif

    register int k, ksub;

    int          fsupc, nsupc, nsupr, nrow;

    int          krep, krep_ind;

    doublecomplex       ukj, ukj1, ukj2;

    int          luptr, luptr1, luptr2;

    int          segsze;

    int          block_nrow;  /* no of rows in a block row */

    register int lptr;	      /* Points to the row subscripts of a supernode */

    int          kfnz, irow, no_zeros; 

    register int isub, isub1, i;

    register int jj;	      /* Index through each column in the panel */

    int          *xsup, *supno;

    int          *lsub, *xlsub;

    doublecomplex       *lusup;

    int          *xlusup;

    int          *repfnz_col; /* repfnz[] for a column in the panel */

    doublecomplex       *dense_col;  /* dense[] for a column in the panel */

    doublecomplex       *tempv1;             /* Used in 1-D update */

    doublecomplex       *TriTmp, *MatvecTmp; /* used in 2-D update */

    doublecomplex      zero = {0.0, 0.0};

    doublecomplex      one = {1.0, 0.0};

    doublecomplex      comp_temp, comp_temp1;

    register int ldaTmp;

    register int r_ind, r_hi;

    static   int first = 1, maxsuper, rowblk, colblk;

    flops_t  *ops = stat->ops;

    xsup    = Glu->xsup;

    supno   = Glu->supno;

    lsub    = Glu->lsub;

    xlsub   = Glu->xlsub;

    lusup   = Glu->lusup;

    xlusup  = Glu->xlusup;

    if ( first ) {

	maxsuper = SUPERLU_MAX( sp_ienv(3), sp_ienv(7) );

	rowblk   = sp_ienv(4);

	colblk   = sp_ienv(5);

	first = 0;

    }

    ldaTmp = maxsuper + rowblk;

    /* 

     * For each nonz supernode segment of U[*,j] in topological order 

     */

    k = nseg - 1;

    for (ksub = 0; ksub < nseg; ksub++) { /* for each updating supernode */

	/* krep = representative of current k-th supernode

	 * fsupc = first supernodal column

	 * nsupc = no of columns in a supernode

	 * nsupr = no of rows in a supernode

	 */

        krep = segrep[k--];

	fsupc = xsup[supno[krep]];

	nsupc = krep - fsupc + 1;

	nsupr = xlsub[fsupc+1] - xlsub[fsupc];

	nrow = nsupr - nsupc;

	lptr = xlsub[fsupc];

	krep_ind = lptr + nsupc - 1;

	repfnz_col = repfnz;

	dense_col = dense;

	if ( nsupc >= colblk && nrow > rowblk ) { /* 2-D block update */

	    TriTmp = tempv;

	    /* Sequence through each column in panel -- triangular solves */

	    for (jj = jcol; jj < jcol + w; jj++,

		 repfnz_col += m, dense_col += m, TriTmp += ldaTmp ) {

		kfnz = repfnz_col[krep];

		if ( kfnz == EMPTY ) continue;	/* Skip any zero segment */

		segsze = krep - kfnz + 1;

		luptr = xlusup[fsupc];

		ops[TRSV] += 4 * segsze * (segsze - 1);

		ops[GEMV] += 8 * nrow * segsze;

		/* Case 1: Update U-segment of size 1 -- col-col update */

		if ( segsze == 1 ) {

		    ukj = dense_col[lsub[krep_ind]];

		    luptr += nsupr*(nsupc-1) + nsupc;

		    for (i = lptr + nsupc; i < xlsub[fsupc+1]; i++) {

			irow = lsub[i];

	    	        zz_mult(&comp_temp, &ukj, &lusup[luptr]);

		        z_sub(&dense_col[irow], &dense_col[irow], &comp_temp);

			++luptr;

		    }

		} else if ( segsze <= 3 ) {

		    ukj = dense_col[lsub[krep_ind]];

		    ukj1 = dense_col[lsub[krep_ind - 1]];

		    luptr += nsupr*(nsupc-1) + nsupc-1;

		    luptr1 = luptr - nsupr;

		    if ( segsze == 2 ) {

		        zz_mult(&comp_temp, &ukj1, &lusup[luptr1]);

		        z_sub(&ukj, &ukj, &comp_temp);

			dense_col[lsub[krep_ind]] = ukj;

			for (i = lptr + nsupc; i < xlsub[fsupc+1]; ++i) {

			    irow = lsub[i];

			    luptr++; luptr1++;

			    zz_mult(&comp_temp, &ukj, &lusup[luptr]);

			    zz_mult(&comp_temp1, &ukj1, &lusup[luptr1]);

			    z_add(&comp_temp, &comp_temp, &comp_temp1);

			    z_sub(&dense_col[irow], &dense_col[irow], &comp_temp);

			}

		    } else {

			ukj2 = dense_col[lsub[krep_ind - 2]];

			luptr2 = luptr1 - nsupr;

  		        zz_mult(&comp_temp, &ukj2, &lusup[luptr2-1]);

		        z_sub(&ukj1, &ukj1, &comp_temp);

		        zz_mult(&comp_temp, &ukj1, &lusup[luptr1]);

        		zz_mult(&comp_temp1, &ukj2, &lusup[luptr2]);

		        z_add(&comp_temp, &comp_temp, &comp_temp1);

		        z_sub(&ukj, &ukj, &comp_temp);

			dense_col[lsub[krep_ind]] = ukj;

			dense_col[lsub[krep_ind-1]] = ukj1;

			for (i = lptr + nsupc; i < xlsub[fsupc+1]; ++i) {

			    irow = lsub[i];

			    luptr++; luptr1++; luptr2++;

			    zz_mult(&comp_temp, &ukj, &lusup[luptr]);

			    zz_mult(&comp_temp1, &ukj1, &lusup[luptr1]);

			    z_add(&comp_temp, &comp_temp, &comp_temp1);

			    zz_mult(&comp_temp1, &ukj2, &lusup[luptr2]);

			    z_add(&comp_temp, &comp_temp, &comp_temp1);

			    z_sub(&dense_col[irow], &dense_col[irow], &comp_temp);

			}

		    }

		} else  {	/* segsze >= 4 */

		    /* Copy U[*,j] segment from dense[*] to TriTmp[*], which

		       holds the result of triangular solves.    */

		    no_zeros = kfnz - fsupc;

		    isub = lptr + no_zeros;

		    for (i = 0; i < segsze; ++i) {

			irow = lsub[isub];

			TriTmp[i] = dense_col[irow]; /* Gather */

			++isub;

		    }

		    /* start effective triangle */

		    luptr += nsupr * no_zeros + no_zeros;

#ifdef USE_VENDOR_BLAS

#ifdef _CRAY

		    CTRSV( ftcs1, ftcs2, ftcs3, &segsze, &lusup[luptr], 

			   &nsupr, TriTmp, &incx );

#else

		    ztrsv_( "L", "N", "U", &segsze, &lusup[luptr], 

			   &nsupr, TriTmp, &incx );

#endif

#else		

		    zlsolve ( nsupr, segsze, &lusup[luptr], TriTmp );

#endif

		} /* else ... */

	    }  /* for jj ... end tri-solves */

	    /* Block row updates; push all the way into dense[*] block */

	    for ( r_ind = 0; r_ind < nrow; r_ind += rowblk ) {

		r_hi = SUPERLU_MIN(nrow, r_ind + rowblk);

		block_nrow = SUPERLU_MIN(rowblk, r_hi - r_ind);

		luptr = xlusup[fsupc] + nsupc + r_ind;

		isub1 = lptr + nsupc + r_ind;

		repfnz_col = repfnz;

		TriTmp = tempv;

		dense_col = dense;

		/* Sequence through each column in panel -- matrix-vector */

		for (jj = jcol; jj < jcol + w; jj++,

		     repfnz_col += m, dense_col += m, TriTmp += ldaTmp) {

		    kfnz = repfnz_col[krep];

		    if ( kfnz == EMPTY ) continue; /* Skip any zero segment */

		    segsze = krep - kfnz + 1;

		    if ( segsze <= 3 ) continue;   /* skip unrolled cases */

		    /* Perform a block update, and scatter the result of

		       matrix-vector to dense[].		 */

		    no_zeros = kfnz - fsupc;

		    luptr1 = luptr + nsupr * no_zeros;

		    MatvecTmp = &TriTmp[maxsuper];

#ifdef USE_VENDOR_BLAS

		    alpha = one; 

                    beta = zero;

#ifdef _CRAY

		    CGEMV(ftcs2, &block_nrow, &segsze, &alpha, &lusup[luptr1], 

			   &nsupr, TriTmp, &incx, &beta, MatvecTmp, &incy);

#else

		    zgemv_("N", &block_nrow, &segsze, &alpha, &lusup[luptr1], 

			   &nsupr, TriTmp, &incx, &beta, MatvecTmp, &incy);

#endif

#else

		    zmatvec(nsupr, block_nrow, segsze, &lusup[luptr1],

			   TriTmp, MatvecTmp);

#endif

		    /* Scatter MatvecTmp[*] into SPA dense[*] temporarily

		     * such that MatvecTmp[*] can be re-used for the

		     * the next blok row update. dense[] will be copied into 

		     * global store after the whole panel has been finished.

		     */

		    isub = isub1;

		    for (i = 0; i < block_nrow; i++) {

			irow = lsub[isub];

		        z_sub(&dense_col[irow], &dense_col[irow], 

                              &MatvecTmp[i]);

			MatvecTmp[i] = zero;

			++isub;

		    }

		} /* for jj ... */

	    } /* for each block row ... */

	    /* Scatter the triangular solves into SPA dense[*] */

	    repfnz_col = repfnz;

	    TriTmp = tempv;

	    dense_col = dense;

	    for (jj = jcol; jj < jcol + w; jj++,

		 repfnz_col += m, dense_col += m, TriTmp += ldaTmp) {

		kfnz = repfnz_col[krep];

		if ( kfnz == EMPTY ) continue; /* Skip any zero segment */

		segsze = krep - kfnz + 1;

		if ( segsze <= 3 ) continue; /* skip unrolled cases */

		no_zeros = kfnz - fsupc;		

		isub = lptr + no_zeros;

		for (i = 0; i < segsze; i++) {

		    irow = lsub[isub];

		    dense_col[irow] = TriTmp[i];

		    TriTmp[i] = zero;

		    ++isub;

		}

	    } /* for jj ... */

	} else { /* 1-D block modification */

	    /* Sequence through each column in the panel */

	    for (jj = jcol; jj < jcol + w; jj++,

		 repfnz_col += m, dense_col += m) {

		kfnz = repfnz_col[krep];

		if ( kfnz == EMPTY ) continue;	/* Skip any zero segment */

		segsze = krep - kfnz + 1;

		luptr = xlusup[fsupc];

		ops[TRSV] += 4 * segsze * (segsze - 1);

		ops[GEMV] += 8 * nrow * segsze;

		/* Case 1: Update U-segment of size 1 -- col-col update */

		if ( segsze == 1 ) {

		    ukj = dense_col[lsub[krep_ind]];

		    luptr += nsupr*(nsupc-1) + nsupc;

		    for (i = lptr + nsupc; i < xlsub[fsupc+1]; i++) {

			irow = lsub[i];

	    	        zz_mult(&comp_temp, &ukj, &lusup[luptr]);

		        z_sub(&dense_col[irow], &dense_col[irow], &comp_temp);

			++luptr;

		    }

		} else if ( segsze <= 3 ) {

		    ukj = dense_col[lsub[krep_ind]];

		    luptr += nsupr*(nsupc-1) + nsupc-1;

		    ukj1 = dense_col[lsub[krep_ind - 1]];

		    luptr1 = luptr - nsupr;

		    if ( segsze == 2 ) {

		        zz_mult(&comp_temp, &ukj1, &lusup[luptr1]);

		        z_sub(&ukj, &ukj, &comp_temp);

			dense_col[lsub[krep_ind]] = ukj;

			for (i = lptr + nsupc; i < xlsub[fsupc+1]; ++i) {

			    irow = lsub[i];

			    ++luptr;  ++luptr1;

			    zz_mult(&comp_temp, &ukj, &lusup[luptr]);

			    zz_mult(&comp_temp1, &ukj1, &lusup[luptr1]);

			    z_add(&comp_temp, &comp_temp, &comp_temp1);

			    z_sub(&dense_col[irow], &dense_col[irow], &comp_temp);

			}

		    } else {

			ukj2 = dense_col[lsub[krep_ind - 2]];

			luptr2 = luptr1 - nsupr;

  		        zz_mult(&comp_temp, &ukj2, &lusup[luptr2-1]);

		        z_sub(&ukj1, &ukj1, &comp_temp);

		        zz_mult(&comp_temp, &ukj1, &lusup[luptr1]);

        		zz_mult(&comp_temp1, &ukj2, &lusup[luptr2]);

		        z_add(&comp_temp, &comp_temp, &comp_temp1);

		        z_sub(&ukj, &ukj, &comp_temp);

			dense_col[lsub[krep_ind]] = ukj;

			dense_col[lsub[krep_ind-1]] = ukj1;

			for (i = lptr + nsupc; i < xlsub[fsupc+1]; ++i) {

			    irow = lsub[i];

			    ++luptr; ++luptr1; ++luptr2;

			    zz_mult(&comp_temp, &ukj, &lusup[luptr]);

			    zz_mult(&comp_temp1, &ukj1, &lusup[luptr1]);

			    z_add(&comp_temp, &comp_temp, &comp_temp1);

			    zz_mult(&comp_temp1, &ukj2, &lusup[luptr2]);

			    z_add(&comp_temp, &comp_temp, &comp_temp1);

			    z_sub(&dense_col[irow], &dense_col[irow], &comp_temp);

			}

		    }

		} else  { /* segsze >= 4 */

		    /* 

		     * Perform a triangular solve and block update,

		     * then scatter the result of sup-col update to dense[].

		     */

		    no_zeros = kfnz - fsupc;

		    /* Copy U[*,j] segment from dense[*] to tempv[*]: 

		     *    The result of triangular solve is in tempv[*];

		     *    The result of matrix vector update is in dense_col[*]

		     */

		    isub = lptr + no_zeros;

		    for (i = 0; i < segsze; ++i) {

			irow = lsub[isub];

			tempv[i] = dense_col[irow]; /* Gather */

			++isub;

		    }

		    /* start effective triangle */

		    luptr += nsupr * no_zeros + no_zeros;

#ifdef USE_VENDOR_BLAS

#ifdef _CRAY

		    CTRSV( ftcs1, ftcs2, ftcs3, &segsze, &lusup[luptr], 

			   &nsupr, tempv, &incx );

#else

		    ztrsv_( "L", "N", "U", &segsze, &lusup[luptr], 

			   &nsupr, tempv, &incx );

#endif

		    luptr += segsze;	/* Dense matrix-vector */

		    tempv1 = &tempv[segsze];

                    alpha = one;

                    beta = zero;

#ifdef _CRAY

		    CGEMV( ftcs2, &nrow, &segsze, &alpha, &lusup[luptr], 

			   &nsupr, tempv, &incx, &beta, tempv1, &incy );

#else

		    zgemv_( "N", &nrow, &segsze, &alpha, &lusup[luptr], 

			   &nsupr, tempv, &incx, &beta, tempv1, &incy );

#endif

#else

		    zlsolve ( nsupr, segsze, &lusup[luptr], tempv );

		    luptr += segsze;        /* Dense matrix-vector */

		    tempv1 = &tempv[segsze];

		    zmatvec (nsupr, nrow, segsze, &lusup[luptr], tempv, tempv1);

#endif

		    /* Scatter tempv[*] into SPA dense[*] temporarily, such

		     * that tempv[*] can be used for the triangular solve of

		     * the next column of the panel. They will be copied into 

		     * ucol[*] after the whole panel has been finished.

		     */

		    isub = lptr + no_zeros;

		    for (i = 0; i < segsze; i++) {

			irow = lsub[isub];

			dense_col[irow] = tempv[i];

			tempv[i] = zero;

			isub++;

		    }

		    /* Scatter the update from tempv1[*] into SPA dense[*] */

		    /* Start dense rectangular L */

		    for (i = 0; i < nrow; i++) {

			irow = lsub[isub];

		        z_sub(&dense_col[irow], &dense_col[irow], &tempv1[i]);

			tempv1[i] = zero;

			++isub;	

		    }

		} /* else segsze>=4 ... */

	    } /* for each column in the panel... */

	} /* else 1-D update ... */

    } /* for each updating supernode ... */

}