/* slasq5.f -- translated by f2c (version 20061008). You must link the resulting object file with libf2c: on Microsoft Windows system, link with libf2c.lib; on Linux or Unix systems, link with .../path/to/libf2c.a -lm or, if you install libf2c.a in a standard place, with -lf2c -lm -- in that order, at the end of the command line, as in cc *.o -lf2c -lm Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., http://www.netlib.org/f2c/libf2c.zip */ #include "f2c.h" #include "blaswrap.h" /* Subroutine */ int slasq5_(integer *i0, integer *n0, real *z__, integer *pp, real *tau, real *dmin__, real *dmin1, real *dmin2, real *dn, real * dnm1, real *dnm2, logical *ieee) { /* System generated locals */ integer i__1; real r__1, r__2; /* Local variables */ real d__; integer j4, j4p2; real emin, temp; /* -- LAPACK routine (version 3.2) -- */ /* -- Contributed by Osni Marques of the Lawrence Berkeley National -- */ /* -- Laboratory and Beresford Parlett of the Univ. of California at -- */ /* -- Berkeley -- */ /* -- November 2008 -- */ /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */ /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* SLASQ5 computes one dqds transform in ping-pong form, one */ /* version for IEEE machines another for non IEEE machines. */ /* Arguments */ /* ========= */ /* I0 (input) INTEGER */ /* First index. */ /* N0 (input) INTEGER */ /* Last index. */ /* Z (input) REAL 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. */ /* TAU (input) REAL */ /* This is the shift. */ /* DMIN (output) REAL */ /* Minimum value of d. */ /* DMIN1 (output) REAL */ /* Minimum value of d, excluding D( N0 ). */ /* DMIN2 (output) REAL */ /* Minimum value of d, excluding D( N0 ) and D( N0-1 ). */ /* DN (output) REAL */ /* d(N0), the last value of d. */ /* DNM1 (output) REAL */ /* d(N0-1). */ /* DNM2 (output) REAL */ /* d(N0-2). */ /* IEEE (input) LOGICAL */ /* Flag for IEEE or non IEEE arithmetic. */ /* ===================================================================== */ /* .. Parameter .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Parameter adjustments */ --z__; /* Function Body */ if (*n0 - *i0 - 1 <= 0) { return 0; } j4 = (*i0 << 2) + *pp - 3; emin = z__[j4 + 4]; d__ = z__[j4] - *tau; *dmin__ = d__; *dmin1 = -z__[j4]; if (*ieee) { /* Code for IEEE arithmetic. */ if (*pp == 0) { i__1 = *n0 - 3 << 2; for (j4 = *i0 << 2; j4 <= i__1; j4 += 4) { z__[j4 - 2] = d__ + z__[j4 - 1]; temp = z__[j4 + 1] / z__[j4 - 2]; d__ = d__ * temp - *tau; *dmin__ = dmin(*dmin__,d__); z__[j4] = z__[j4 - 1] * temp; /* Computing MIN */ r__1 = z__[j4]; emin = dmin(r__1,emin); /* L10: */ } } else { i__1 = *n0 - 3 << 2; for (j4 = *i0 << 2; j4 <= i__1; j4 += 4) { z__[j4 - 3] = d__ + z__[j4]; temp = z__[j4 + 2] / z__[j4 - 3]; d__ = d__ * temp - *tau; *dmin__ = dmin(*dmin__,d__); z__[j4 - 1] = z__[j4] * temp; /* Computing MIN */ r__1 = z__[j4 - 1]; emin = dmin(r__1,emin); /* L20: */ } } /* Unroll last two steps. */ *dnm2 = d__; *dmin2 = *dmin__; j4 = (*n0 - 2 << 2) - *pp; j4p2 = j4 + (*pp << 1) - 1; z__[j4 - 2] = *dnm2 + z__[j4p2]; z__[j4] = z__[j4p2 + 2] * (z__[j4p2] / z__[j4 - 2]); *dnm1 = z__[j4p2 + 2] * (*dnm2 / z__[j4 - 2]) - *tau; *dmin__ = dmin(*dmin__,*dnm1); *dmin1 = *dmin__; j4 += 4; j4p2 = j4 + (*pp << 1) - 1; z__[j4 - 2] = *dnm1 + z__[j4p2]; z__[j4] = z__[j4p2 + 2] * (z__[j4p2] / z__[j4 - 2]); *dn = z__[j4p2 + 2] * (*dnm1 / z__[j4 - 2]) - *tau; *dmin__ = dmin(*dmin__,*dn); } else { /* Code for non IEEE arithmetic. */ 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 (d__ < 0.f) { return 0; } else { z__[j4] = z__[j4 + 1] * (z__[j4 - 1] / z__[j4 - 2]); d__ = z__[j4 + 1] * (d__ / z__[j4 - 2]) - *tau; } *dmin__ = dmin(*dmin__,d__); /* Computing MIN */ r__1 = emin, r__2 = z__[j4]; emin = dmin(r__1,r__2); /* L30: */ } } else { i__1 = *n0 - 3 << 2; for (j4 = *i0 << 2; j4 <= i__1; j4 += 4) { z__[j4 - 3] = d__ + z__[j4]; if (d__ < 0.f) { return 0; } else { z__[j4 - 1] = z__[j4 + 2] * (z__[j4] / z__[j4 - 3]); d__ = z__[j4 + 2] * (d__ / z__[j4 - 3]) - *tau; } *dmin__ = dmin(*dmin__,d__); /* Computing MIN */ r__1 = emin, r__2 = z__[j4 - 1]; emin = dmin(r__1,r__2); /* L40: */ } } /* Unroll last two steps. */ *dnm2 = d__; *dmin2 = *dmin__; j4 = (*n0 - 2 << 2) - *pp; j4p2 = j4 + (*pp << 1) - 1; z__[j4 - 2] = *dnm2 + z__[j4p2]; if (*dnm2 < 0.f) { return 0; } else { z__[j4] = z__[j4p2 + 2] * (z__[j4p2] / z__[j4 - 2]); *dnm1 = z__[j4p2 + 2] * (*dnm2 / z__[j4 - 2]) - *tau; } *dmin__ = dmin(*dmin__,*dnm1); *dmin1 = *dmin__; j4 += 4; j4p2 = j4 + (*pp << 1) - 1; z__[j4 - 2] = *dnm1 + z__[j4p2]; if (*dnm1 < 0.f) { return 0; } else { z__[j4] = z__[j4p2 + 2] * (z__[j4p2] / z__[j4 - 2]); *dn = z__[j4p2 + 2] * (*dnm1 / z__[j4 - 2]) - *tau; } *dmin__ = dmin(*dmin__,*dn); } z__[j4 + 2] = *dn; z__[(*n0 << 2) - *pp] = emin; return 0; /* End of SLASQ5 */ } /* slasq5_ */