dlasq6.c

提供矩阵类的函数库

#include "blaswrap.h"
/*  -- translated by f2c (version 19990503).
   You must link the resulting object file with the libraries:
	-lf2c -lm   (in that order)
*/

#include "f2c.h"

/* Common Block Declarations */

struct {
    doublereal ops, itcnt;
} latime_;

#define latime_1 latime_

/* Subroutine */ int dlasq6_(integer *i0, integer *n0, doublereal *z__, 
	integer *pp, doublereal *dmin__, doublereal *dmin1, doublereal *dmin2,
	 doublereal *dn, doublereal *dnm1, doublereal *dnm2)
{
    /* System generated locals */
    integer i__1;
    doublereal d__1, d__2;

    /* Local variables */
    static doublereal emin, temp, d__;
    static integer j4;
    extern doublereal dlamch_(char *);
    static doublereal safmin;
    static integer j4p2;


/*  -- LAPACK auxiliary routine (instrumented to count ops, version 3.0) --   
       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,   
       Courant Institute, Argonne National Lab, and Rice University   
       October 31, 1999   


    Purpose   
    =======   

    DLASQ6 computes one dqd (shift equal to zero) transform in   
    ping-pong form, with protection against underflow and overflow.   

    Arguments   
    =========   

    I0    (input) INTEGER   
          First index.   

    N0    (input) INTEGER   
          Last index.   

    Z     (input) DOUBLE PRECISION array, dimension ( 4*N )   
          Z holds the qd array. EMIN is stored in Z(4*N0) to avoid   
          an extra argument.   

    PP    (input) INTEGER   
          PP=0 for ping, PP=1 for pong.   

    DMIN  (output) DOUBLE PRECISION   
          Minimum value of d.   

    DMIN1 (output) DOUBLE PRECISION   
          Minimum value of d, excluding D( N0 ).   

    DMIN2 (output) DOUBLE PRECISION   
          Minimum value of d, excluding D( N0 ) and D( N0-1 ).   

    DN    (output) DOUBLE PRECISION   
          d(N0), the last value of d.   

    DNM1  (output) DOUBLE PRECISION   
          d(N0-1).   

    DNM2  (output) DOUBLE PRECISION   
          d(N0-2).   

    =====================================================================   


       Parameter adjustments */
    --z__;

    /* Function Body */
    if (*n0 - *i0 - 1 <= 0) {
	return 0;
    }

    safmin = dlamch_("Safe minimum");
    j4 = (*i0 << 2) + *pp - 3;
    emin = z__[j4 + 4];
    d__ = z__[j4];
    *dmin__ = d__;

    if (*pp == 0) {
	i__1 = *n0 - 3 << 2;
	for (j4 = *i0 << 2; j4 <= i__1; j4 += 4) {
	    z__[j4 - 2] = d__ + z__[j4 - 1];
	    if (z__[j4 - 2] == 0.) {
		z__[j4] = 0.;
		d__ = z__[j4 + 1];
		*dmin__ = d__;
		emin = 0.;
	    } else if (safmin * z__[j4 + 1] < z__[j4 - 2] && safmin * z__[j4 
		    - 2] < z__[j4 + 1]) {
		latime_1.ops += 2.;
		temp = z__[j4 + 1] / z__[j4 - 2];
		z__[j4] = z__[j4 - 1] * temp;
		d__ *= temp;
	    } else {
		latime_1.ops += 4.;
		z__[j4] = z__[j4 + 1] * (z__[j4 - 1] / z__[j4 - 2]);
		d__ = z__[j4 + 1] * (d__ / z__[j4 - 2]);
	    }
	    *dmin__ = min(*dmin__,d__);
/* Computing MIN */
	    d__1 = emin, d__2 = z__[j4];
	    emin = min(d__1,d__2);
/* L10: */
	}
    } else {
	i__1 = *n0 - 3 << 2;
	for (j4 = *i0 << 2; j4 <= i__1; j4 += 4) {
	    z__[j4 - 3] = d__ + z__[j4];
	    if (z__[j4 - 3] == 0.) {
		z__[j4 - 1] = 0.;
		d__ = z__[j4 + 2];
		*dmin__ = d__;
		emin = 0.;
	    } else if (safmin * z__[j4 + 2] < z__[j4 - 3] && safmin * z__[j4 
		    - 3] < z__[j4 + 2]) {
		latime_1.ops += 2.;
		temp = z__[j4 + 2] / z__[j4 - 3];
		z__[j4 - 1] = z__[j4] * temp;
		d__ *= temp;
	    } else {
		latime_1.ops += 4.;
		z__[j4 - 1] = z__[j4 + 2] * (z__[j4] / z__[j4 - 3]);
		d__ = z__[j4 + 2] * (d__ / z__[j4 - 3]);
	    }
	    *dmin__ = min(*dmin__,d__);
/* Computing MIN */
	    d__1 = emin, d__2 = z__[j4 - 1];
	    emin = min(d__1,d__2);
/* L20: */
	}
    }

/*     Unroll last two steps. */

    latime_1.ops += 1.;
    *dnm2 = d__;
    *dmin2 = *dmin__;
    j4 = (*n0 - 2 << 2) - *pp;
    j4p2 = j4 + (*pp << 1) - 1;
    z__[j4 - 2] = *dnm2 + z__[j4p2];
    if (z__[j4 - 2] == 0.) {
	z__[j4] = 0.;
	*dnm1 = z__[j4p2 + 2];
	*dmin__ = *dnm1;
	emin = 0.;
    } else if (safmin * z__[j4p2 + 2] < z__[j4 - 2] && safmin * z__[j4 - 2] < 
	    z__[j4p2 + 2]) {
	latime_1.ops += 3.;
	temp = z__[j4p2 + 2] / z__[j4 - 2];
	z__[j4] = z__[j4p2] * temp;
	*dnm1 = *dnm2 * temp;
    } else {
	latime_1.ops += 4.;
	z__[j4] = z__[j4p2 + 2] * (z__[j4p2] / z__[j4 - 2]);
	*dnm1 = z__[j4p2 + 2] * (*dnm2 / z__[j4 - 2]);
    }
    *dmin__ = min(*dmin__,*dnm1);

    latime_1.ops += 1.;
    *dmin1 = *dmin__;
    j4 += 4;
    j4p2 = j4 + (*pp << 1) - 1;
    z__[j4 - 2] = *dnm1 + z__[j4p2];
    if (z__[j4 - 2] == 0.) {
	z__[j4] = 0.;
	*dn = z__[j4p2 + 2];
	*dmin__ = *dn;
	emin = 0.;
    } else if (safmin * z__[j4p2 + 2] < z__[j4 - 2] && safmin * z__[j4 - 2] < 
	    z__[j4p2 + 2]) {
	latime_1.ops += 3.;
	temp = z__[j4p2 + 2] / z__[j4 - 2];
	z__[j4] = z__[j4p2] * temp;
	*dn = *dnm1 * temp;
    } else {
	latime_1.ops += 4.;
	z__[j4] = z__[j4p2 + 2] * (z__[j4p2] / z__[j4 - 2]);
	*dn = z__[j4p2 + 2] * (*dnm1 / z__[j4 - 2]);
    }
    *dmin__ = min(*dmin__,*dn);

    z__[j4 + 2] = *dn;
    z__[(*n0 << 2) - *pp] = emin;
    return 0;

/*     End of DLASQ6 */

} /* dlasq6_ */