File:  [LON-CAPA] / capa / capa51 / pProj / linpack.c
Revision 1.4: download - view: text, annotated - select for diffs
Mon Aug 7 20:47:29 2000 UTC (23 years, 8 months ago) by albertel
Branches: MAIN
CVS tags: version_2_9_X, version_2_9_99_0, version_2_9_1, version_2_9_0, version_2_8_X, version_2_8_99_1, version_2_8_99_0, version_2_8_2, version_2_8_1, version_2_8_0, version_2_7_X, version_2_7_99_1, version_2_7_99_0, version_2_7_1, version_2_7_0, version_2_6_X, version_2_6_99_1, version_2_6_99_0, version_2_6_3, version_2_6_2, version_2_6_1, version_2_6_0, version_2_5_X, version_2_5_99_1, version_2_5_99_0, version_2_5_2, version_2_5_1, version_2_5_0, version_2_4_X, version_2_4_99_0, version_2_4_2, version_2_4_1, version_2_4_0, version_2_3_X, version_2_3_99_0, version_2_3_2, version_2_3_1, version_2_3_0, version_2_2_X, version_2_2_99_1, version_2_2_99_0, version_2_2_2, version_2_2_1, version_2_2_0, version_2_1_X, version_2_1_99_3, version_2_1_99_2, version_2_1_99_1, version_2_1_99_0, version_2_1_3, version_2_1_2, version_2_1_1, version_2_1_0, version_2_12_X, version_2_11_X, version_2_11_4_uiuc, version_2_11_4_msu, version_2_11_4, version_2_11_3_uiuc, version_2_11_3_msu, version_2_11_3, version_2_11_2_uiuc, version_2_11_2_msu, version_2_11_2_educog, version_2_11_2, version_2_11_1, version_2_11_0_RC3, version_2_11_0_RC2, version_2_11_0_RC1, version_2_11_0, version_2_10_X, version_2_10_1, version_2_10_0_RC2, version_2_10_0_RC1, version_2_10_0, version_2_0_X, version_2_0_99_1, version_2_0_2, version_2_0_1, version_2_0_0, version_1_99_3, version_1_99_2, version_1_99_1_tmcc, version_1_99_1, version_1_99_0_tmcc, version_1_99_0, version_1_3_X, version_1_3_3, version_1_3_2, version_1_3_1, version_1_3_0, version_1_2_X, version_1_2_99_1, version_1_2_99_0, version_1_2_1, version_1_2_0, version_1_1_X, version_1_1_99_5, version_1_1_99_4, version_1_1_99_3, version_1_1_99_2, version_1_1_99_1, version_1_1_99_0, version_1_1_3, version_1_1_2, version_1_1_1, version_1_1_0, version_1_0_99_3, version_1_0_99_2, version_1_0_99_1, version_1_0_99, version_1_0_3, version_1_0_2, version_1_0_1, version_1_0_0, version_0_99_5, version_0_99_4, version_0_99_3, version_0_99_2, version_0_99_1, version_0_99_0, version_0_6_2, version_0_6, version_0_5_1, version_0_5, version_0_4, stable_2002_spring, stable_2002_july, stable_2002_april, stable_2001_fall, release_5-1-3, loncapaMITrelate_1, language_hyphenation_merge, language_hyphenation, conference_2003, bz6209-base, bz6209, STABLE, HEAD, GCI_3, GCI_2, GCI_1, CAPA_5-1-6, CAPA_5-1-5, CAPA_5-1-4_RC1, BZ4492-merge, BZ4492-feature_horizontal_radioresponse, BZ4492-feature_Support_horizontal_radioresponse, BZ4492-Support_horizontal_radioresponse
- fixed license notices the reference the GNU GPL rather than the GNU LGPL

/* functions to support the random number genrator
   Copyright (C) 1992-2000 Michigan State University

   The CAPA system is free software; you can redistribute it and/or
   modify it under the terms of the GNU General Public License as
   published by the Free Software Foundation; either version 2 of the
   License, or (at your option) any later version.

   The CAPA system is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   General Public License for more details.

   You should have received a copy of the GNU General Public
   License along with the CAPA system; see the file COPYING.  If not,
   write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
   Boston, MA 02111-1307, USA.

   As a special exception, you have permission to link this program
   with the TtH/TtM library and distribute executables, as long as you
   follow the requirements of the GNU GPL in regard to all of the
   software in the executable aside from TtH/TtM.
*/

#include <math.h>
float sdot(long n,float *sx,long incx,float *sy,long incy)
{
static long i,ix,iy,m,mp1;
static float sdot,stemp;
    stemp = sdot = 0.0;
    if(n <= 0) return sdot;
    if(incx == 1 && incy == 1) goto S20;
    ix = iy = 1;
    if(incx < 0) ix = (-n+1)*incx+1;
    if(incy < 0) iy = (-n+1)*incy+1;
    for(i=1; i<=n; i++) {
        stemp += (*(sx+ix-1)**(sy+iy-1));
        ix += incx;
        iy += incy;
    }
    sdot = stemp;
    return sdot;
S20:
    m = n % 5L;
    if(m == 0) goto S40;
    for(i=0; i<m; i++) stemp += (*(sx+i)**(sy+i));
    if(n < 5) goto S60;
S40:
    mp1 = m+1;
    for(i=mp1; i<=n; i+=5) stemp += (*(sx+i-1)**(sy+i-1)+*(sx+i)**(sy+i)+*(sx+i
      +1)**(sy+i+1)+*(sx+i+2)**(sy+i+2)+*(sx+i+3)**(sy+i+3));
S60:
    sdot = stemp;
    return sdot;
}
void spofa(float *a,long lda,long n,long *info)
/*
     SPOFA FACTORS A REAL SYMMETRIC POSITIVE DEFINITE MATRIX.
     SPOFA IS USUALLY CALLED BY SPOCO, BUT IT CAN BE CALLED
     DIRECTLY WITH A SAVING IN TIME IF  RCOND  IS NOT NEEDED.
     (TIME FOR SPOCO) = (1 + 18/N)*(TIME FOR SPOFA) .
     ON ENTRY
        A       REAL(LDA, N)
                THE SYMMETRIC MATRIX TO BE FACTORED.  ONLY THE
                DIAGONAL AND UPPER TRIANGLE ARE USED.
        LDA     INTEGER
                THE LEADING DIMENSION OF THE ARRAY  A .
        N       INTEGER
                THE ORDER OF THE MATRIX  A .
     ON RETURN
        A       AN UPPER TRIANGULAR MATRIX  R  SO THAT  A = TRANS(R)*R
                WHERE  TRANS(R)  IS THE TRANSPOSE.
                THE STRICT LOWER TRIANGLE IS UNALTERED.
                IF  INFO .NE. 0 , THE FACTORIZATION IS NOT COMPLETE.
        INFO    INTEGER
                = 0  FOR NORMAL RETURN.
                = K  SIGNALS AN ERROR CONDITION.  THE LEADING MINOR
                     OF ORDER  K  IS NOT POSITIVE DEFINITE.
     LINPACK.  THIS VERSION DATED 08/14/78 .
     CLEVE MOLER, UNIVERSITY OF NEW MEXICO, ARGONNE NATIONAL LAB.
     SUBROUTINES AND FUNCTIONS
     BLAS SDOT
     FORTRAN SQRT
     INTERNAL VARIABLES
*/
{
extern float sdot(long n,float *sx,long incx,float *sy,long incy);
static long j,jm1,k;
static float t,s;
/*
     BEGIN BLOCK WITH ...EXITS TO 40
*/
    for(j=1; j<=n; j++) {
        *info = j;
        s = 0.0;
        jm1 = j-1;
        if(jm1 < 1) goto S20;
        for(k=0; k<jm1; k++) {
            t = *(a+k+(j-1)*lda)-sdot(k,(a+k*lda),1L,(a+(j-1)*lda),1L);
            t /=  *(a+k+k*lda);
            *(a+k+(j-1)*lda) = t;
            s += (t*t);
        }
S20:
        s = *(a+j-1+(j-1)*lda)-s;
/*
     ......EXIT
*/
        if(s <= 0.0) goto S40;
        *(a+j-1+(j-1)*lda) = sqrt(s);
    }
    *info = 0;
S40:
    return;
}

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