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/* ---------------------------------------------------------------------
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* -- Automatically Tuned Linear Algebra Software (ATLAS)
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* (C) Copyright 2000 All Rights Reserved
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* -- ATLAS routine -- Version 3.2 -- December 25, 2000
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* Author : Antoine P. Petitet
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* Originally developed at the University of Tennessee,
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* Innovative Computing Laboratory, Knoxville TN, 37996-1301, USA.
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* ---------------------------------------------------------------------
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* -- Copyright notice and Licensing terms:
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions, and the following disclaimer in
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* the documentation and/or other materials provided with the distri-
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* 3. The name of the University, the ATLAS group, or the names of its
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* contributors may not be used to endorse or promote products deri-
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* ved from this software without specific written permission.
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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* ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY
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* OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPE-
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* CIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
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* TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
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* OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEO-
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* RY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (IN-
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* CLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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* ---------------------------------------------------------------------
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#include "atlas_misc.h"
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#include "atlas_level1.h"
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#include "atlas_kernel2.h"
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#include "atlas_reflvl2.h"
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#include "atlas_lvl2.h"
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void Mjoin( PATL, sprL )
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* Mjoin( PATL, sprL ) performs the symmetric rank 1 operation
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* A := alpha * x * x' + A,
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* where alpha is a scalar, x is an n-element vector and A is an n by n
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* symmetric matrix, supplied in packed form.
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* This is a recursive version of the algorithm. For a more detailed
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* description of the arguments of this function, see the reference im-
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* plementation in the ATLAS/src/blas/reference directory.
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* ---------------------------------------------------------------------
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* .. Local Variables ..
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int i, iaij, j, jaj, jy, lda = LDA, n1, n1s, n2;
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const TYPE one[2] = { ATL_rone, ATL_rzero };
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register TYPE t0_i, t0_r;
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const int incy2 = 2 * INCY;
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int i, iaij, ix, j, jaj, jy, lda = LDA,
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lda2 = (LDA << 1), n1, n1s, n2;
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#define gpr Mjoin( PATL, gpr1L_a1_x1_yX )
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#define gpr Mjoin( PATL, gpr1uL_a1_x1_yX )
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* .. Executable Statements ..
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for( j = 0, jaj = 0, jy = 0; j < N; j++, jy += INCY )
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for( i = j, iaij = jaj; i < N; i++, iaij++ ) { A[iaij] += X[i] * t0; }
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jaj += lda; lda -= 1;
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for( j = 0, jaj = 0, jy = 0; j < N; j++, jy += incy2, X += 2 )
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t0_r = Y[jy]; t0_i = Y[jy+1];
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for( i = j, iaij = jaj, ix = 0; i < N; i++, iaij += 2, ix += 2 )
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A[iaij ] += X[ix] * t0_r - X[ix+1] * t0_i;
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A[iaij+1] += X[ix] * t0_i + X[ix+1] * t0_r;
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jaj += lda2; lda2 -= 2;
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n2 = N - ( n1 = ( N >> 1 ) ); n1s = (n1 SHIFT);
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Mjoin( PATL, sprL )( n1, X, Y, INCY, A, lda ); X += n1s;
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gpr( n2, n1, one, X, 1, Y, INCY, A + n1s, lda ); Y += n1s * INCY;
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MLpnext( n1, A, lda ); Mjoin( PATL, sprL )( n2, X, Y, INCY, A, lda );
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* End of Mjoin( PATL, sprL )