/*
 *             Automatically Tuned Linear Algebra Software v3.10.2
 * Copyright (C) 2009 Siju Samuel
 *
 * Code contributers : Siju Samuel, Anthony M. Castaldo, R. Clint Whaley
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 *   1. Redistributions of source code must retain the above copyright
 *      notice, this list of conditions and the following disclaimer.
 *   2. Redistributions in binary form must reproduce the above copyright
 *      notice, this list of conditions, and the following disclaimer in the
 *      documentation and/or other materials provided with the distribution.
 *   3. The name of the ATLAS group or the names of its contributers may
 *      not be used to endorse or promote products derived from this
 *      software without specific written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
 * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE ATLAS GROUP OR ITS CONTRIBUTORS
 * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
 * POSSIBILITY OF SUCH DAMAGE.
 *
 */

#include "stdio.h"
#include "cblas.h"
#include "atlas_lapack.h"

#ifdef  SREAL
     #define MYOPT LASreal
#endif
#ifdef  DREAL
    #define MYOPT  LADreal
#endif
#ifdef  SCPLX
    #define MYOPT  LAScplx
#endif
#ifdef  DCPLX
    #define MYOPT  LADcplx
#endif

int ATL_ormqr
   (const enum CBLAS_SIDE SIDE, const enum CBLAS_TRANSPOSE TRANS,
    ATL_CINT M, ATL_CINT N, ATL_CINT K, TYPE *A, ATL_CINT lda,
    const TYPE *TAU, TYPE *C, ATL_CINT ldc, TYPE *WORK, ATL_CINT LWORK)
/*
 * This is the C translation of the standard LAPACK Fortran routine:
 *      SUBROUTINE ATL_ormqr( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
 *                        WORK, LWORK, INFO )
 *
 * ATL_ormqr.c :
 * int ATL_ormqr(const enum CBLAS_SIDE SIDE SIDE,
 *        const enum CBLAS_TRANSPOSE TRANS, ATL_CINT M, ATL_CINT N,
 *        ATL_CINT K, TYPE * A, ATL_CINT lda,TYPE * TAU, TYPE * C, ATL_CINT ldc,
 *                       TYPE * WORK, ATL_CINT LWORK)
 *
 *      NOTE :   ATL_ormqr.c will get compiled to four precisions
 *               single precision real,      double precision real
 *               single precision complex,   double precision complex
 *
 *
 *
 *  Purpose
 *  =======
 *
 *  ATL_ormqr overwrites the general real M-by-N matrix C with
 *
 *                  SIDE = 'L'     SIDE = 'R'
 *  TRANS = 'N':      Q * C          C * Q
 *  TRANS = 'T':      Q**T * C       C * Q**T
 *
 *  where Q is,
 *        a real orthogonal matrix defined as the product of k
 *        elementary reflectors
 *
 *        Q = H(1) H(2) . . . H(k)
 *
 *   OR
 *        a complex unitary matrix defined as a product of k
 *        elementary reflectors
 *
 *        Q = H(1) H(2) . . . H(k)
 *
 *  as returned by ATLL_geqrf.c. Q is of order M if SIDE = 'L' and of order N
 *  if SIDE = 'R'.
 *
 *  Arguments
 *  =========
 *
 *  SIDE    (input) CHARACTER*1
 *          = 'L': apply Q or Q**T from the Left;
 *          = 'R': apply Q or Q**T from the Right.
 *
 *  TRANS   (input) CHARACTER*1
 *          = 'N':  No transpose, apply Q;
 *          = 'T':  Transpose, apply Q**T.
 *
 *  M       (input) INTEGER
 *          The number of rows of the matrix C. M >= 0.
 *
 *  N       (input) INTEGER
 *          The number of columns of the matrix C. N >= 0.
 *
 *  K       (input) INTEGER
 *          The number of elementary reflectors whose product defines
 *          the matrix Q.
 *          If SIDE = 'L', M >= K >= 0;
 *          if SIDE = 'R', N >= K >= 0.
 *
 *  A       (input) array, dimension (LDA,K)
 *          The i-th column must contain the vector which defines the
 *          elementary reflector H(i), for i = 1,2,...,k, as returned by
 *          DGEQRF in the first k columns of its array argument A.
 *          A is modified by the routine but restored on exit.
 *
 *  lda     (input) INTEGER
 *          The leading dimension of the array A.
 *          If SIDE = 'L', LDA >= max(1,M);
 *          if SIDE = 'R', LDA >= max(1,N).
 *
 *  TAU     (input)  array, dimension (K)
 *          TAU(i) must contain the scalar factor of the elementary
 *          reflector H(i), as returned by ATL_geqrf.c.
 *
 *  C       (input/output)  array, dimension (LDC,N)
 *          On entry, the M-by-N matrix C.
 *          On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.
 *
 *  ldc     (input) INTEGER
 *          The leading dimension of the array C. LDC >= max(1,M).
 *
 *  WORK    (workspace/output) array, dimension (MAX(1,LWORK))
 *          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
 *
 *  LWORK   (input) INTEGER
 *          The dimension of the array WORK.
 *          If SIDE = 'L', LWORK >= max(1,N);
 *          if SIDE = 'R', LWORK >= max(1,M).
 *          For optimum performance LWORK >= N*NB if SIDE = 'L', and
 *          LWORK >= M*NB if SIDE = 'R', where NB is the optimal
 *          blocksize.
 *
 *          If LWORK = -1, then a workspace query is assumed; the routine
 *          only calculates the optimal size of the WORK array, returns
 *          this value as the first entry of the WORK array, and no error
 *          message related to LWORK is issued by XERBLA.
 *
 *  INFO    (output) INTEGER
 *          = 0:  successful exit
 *          < 0:  if INFO = -i, the i-th argument had an illegal value
 */
{
   ATL_CINT minMN = Mmin(M, N), maxMN = Mmax(M, N);
   ATL_INT n, nb, j, ib, mi, ni, ic, jc ;
   TYPE  *ws_QR2,  *ws_T, *ws_larfb;        /* Workspace for QR2,T, larfb     */
   void *vp=NULL;

   nb = clapack_ilaenv(LAIS_OPT_NB, LAormqr, MYOPT+LARight+LAUpper, M, N, K,-1);

/*
 * If it is a workspace query, return the size of work required.
 *    wrksz = wrksz of ATL_larfb + ATL_larft + ATL_geqr2
 */
   if (LWORK < 0)
   {
      if(SIDE == CblasLeft)
      {
         *WORK = ( N*nb + nb*nb + maxMN )  ;
      }
      else
      {
         *WORK = ( M*nb + nb*nb + maxMN )  ;
      }
      return(0);
   }
   else if (M < 1 || N < 1)                 /* quick return if no work to do  */
      return(0);
/*
 * If the user gives us too little space, see if we can allocate it ourselves
 */
   else
   {
      if(SIDE == CblasLeft)
      {
         if (LWORK < (N*nb + nb*nb + maxMN))
         {
            vp = malloc(ATL_MulBySize(N*nb + nb*nb + maxMN) + ATL_Cachelen);
            if (!vp)
               return(-7);
            WORK = ATL_AlignPtr(vp);
         }
      }
      else
      {
         if (LWORK < (M*nb + nb*nb + maxMN))
         {
            vp = malloc(ATL_MulBySize(M*nb + nb*nb + maxMN) + ATL_Cachelen);
            if (!vp)
               return(-7);
            WORK = ATL_AlignPtr(vp);
         }
      } /* if CblasRight */
   }

/*
 * Assign workspace areas for ATL_larft, ATL_geqr2, ATL_larfb
 */

   ws_T = WORK;                             /* T at begining of work          */
   ws_QR2 = WORK +(nb SHIFT)*nb;            /* After T Work space             */
   ws_larfb = ws_QR2 + (maxMN SHIFT);       /* After workspace for T and QR2  */


   if (SIDE == CblasLeft)
   {
      if ( TRANS == CblasNoTrans )
      {
         j = (K/nb)*nb;
         if (j == K)
         {
            j=K -nb;
         }
 	 for (j; j >= 0; j = j - nb)
         {
            ib = nb;
            if ((j+nb) > K)
            {
               ib = K - j;
            }
/*
 *          Form the triangular factor of the block reflector
 *          H = H(i) H(i+1) . . . H(i+ib-1)
 */
            ATL_larft(LAForward, LAColumnStore, M-j, ib, A+(j SHIFT)*(lda+1),
                      lda, TAU+(j SHIFT), ws_T, ib);
/*
 *          H or H' is applied to C(i:m,1:n)
 */
            ATL_larfb(SIDE, TRANS, LAForward, LAColumnStore,
                      (M-j), N, ib, A+(j SHIFT)*(lda+1), lda, ws_T, ib,
                      C+(j SHIFT), ldc, ws_larfb, N);
          }                                 /* for                            */
      }                                     /* CblasNoTrans                   */
      else
      {
         for (j = 0 ; j < K; j = j + nb)
         {
            ib = Mmin(K-j, nb);
/*
 *          Form the triangular factor of the block reflector
 *          H = H(i) H(i+1) . . . H(i+ib-1)
 */
            ATL_larft(LAForward, LAColumnStore, M-j, ib, A+(j SHIFT)*(lda+1),
                      lda, TAU+(j SHIFT), ws_T, ib);
/*
 *          H or H' is applied to C(i:m,1:n)
 */
            ATL_larfb(SIDE, TRANS, LAForward, LAColumnStore,
                      (M-j), N, ib, A+(j SHIFT)*(lda+1), lda, ws_T, ib,
                      C+(j SHIFT), ldc, ws_larfb, N);
         }                                  /* for                            */
      }                                     /* CblasNoTran                    */
   }                                        /* cblasLeft                      */
   else
   {
      if ( TRANS == CblasNoTrans )
      {
 	 for (j = 0 ; j < K; j = j + nb)
         {
            ib = Mmin(K-j, nb);
/*
 *          Form the triangular factor of the block reflector
 *          H = H(i) H(i+1) . . . H(i+ib-1)
 */
            ATL_larft(LAForward, LAColumnStore, N-j, ib, A+(j SHIFT)*(lda+1),
                      lda, TAU+(j SHIFT), ws_T, ib);
/*
 *              H or H' is applied to C(1:m,i:n)
 */
            ATL_larfb(SIDE, TRANS, LAForward, LAColumnStore,
                      M, N-j, ib, A+(j SHIFT)*(lda+1), lda, ws_T, ib,
                      C+((j SHIFT)*ldc), ldc, ws_larfb, M);
          }                                 /* for                            */
      }
      else
      {
         j = (K/nb)*nb;
         if (j == K)
         {
            j=K -nb;
         }
 	 for (j; j >= 0; j = j - nb)
         {

            ib = nb;
            if ((j+nb) > K)
            {
               ib = K - j;
            }
/*
 *          Form the triangular factor of the block reflector
 *          H = H(i) H(i+1) . . . H(i+ib-1)
 */
            ATL_larft(LAForward, LAColumnStore, N-j, ib, A+(j SHIFT)*(lda+1),
                      lda, TAU+(j SHIFT), ws_T, ib);
/*
 *              H or H' is applied to C(1:m,i:n)
 */

            ATL_larfb(SIDE, TRANS, LAForward, LAColumnStore,
                      M, N-j , ib, A+(j SHIFT)*(lda+1), lda, ws_T, ib,
                      C+((j SHIFT)*ldc) , ldc, ws_larfb, M);
         }                                  /* for                            */

      }                                     /* Cblas Tran on Right            */
   }

   if (vp)
      free(vp);
   return(0);
}                                           /* END ATL_ormqr                  */


