update linalg to version 1.4 corresponding to LAPACK 3.12.1
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@ -2,16 +2,28 @@
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extern "C" {
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#endif
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#include "lmp_f2c.h"
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static doublereal c_b3 = 1.;
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static doublereal c_b6 = 1.;
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int dlanv2_(doublereal *a, doublereal *b, doublereal *c__, doublereal *d__, doublereal *rt1r,
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doublereal *rt1i, doublereal *rt2r, doublereal *rt2i, doublereal *cs, doublereal *sn)
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{
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integer i__1;
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doublereal d__1, d__2;
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double d_lmp_sign(doublereal *, doublereal *), sqrt(doublereal);
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double log(doublereal), pow_lmp_di(doublereal *, integer *), d_lmp_sign(doublereal *, doublereal *),
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sqrt(doublereal);
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doublereal p, z__, aa, bb, cc, dd, cs1, sn1, sab, sac, eps, tau, temp, scale, bcmax, bcmis,
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sigma;
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extern doublereal dlapy2_(doublereal *, doublereal *), dlamch_(char *, ftnlen);
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integer count;
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doublereal safmn2;
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extern doublereal dlapy2_(doublereal *, doublereal *);
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doublereal safmx2;
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extern doublereal dlamch_(char *, ftnlen);
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doublereal safmin;
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safmin = dlamch_((char *)"S", (ftnlen)1);
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eps = dlamch_((char *)"P", (ftnlen)1);
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d__1 = dlamch_((char *)"B", (ftnlen)1);
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i__1 = (integer)(log(safmin / eps) / log(dlamch_((char *)"B", (ftnlen)1)) / 2.);
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safmn2 = pow_lmp_di(&d__1, &i__1);
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safmx2 = 1. / safmn2;
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if (*c__ == 0.) {
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*cs = 1.;
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*sn = 0.;
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@ -23,7 +35,7 @@ int dlanv2_(doublereal *a, doublereal *b, doublereal *c__, doublereal *d__, doub
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*a = temp;
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*b = -(*c__);
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*c__ = 0.;
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} else if (*a - *d__ == 0. && d_lmp_sign(&c_b3, b) != d_lmp_sign(&c_b3, c__)) {
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} else if (*a - *d__ == 0. && d_lmp_sign(&c_b6, b) != d_lmp_sign(&c_b6, c__)) {
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*cs = 1.;
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*sn = 0.;
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} else {
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@ -32,7 +44,7 @@ int dlanv2_(doublereal *a, doublereal *b, doublereal *c__, doublereal *d__, doub
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d__1 = abs(*b), d__2 = abs(*c__);
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bcmax = max(d__1, d__2);
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d__1 = abs(*b), d__2 = abs(*c__);
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bcmis = min(d__1, d__2) * d_lmp_sign(&c_b3, b) * d_lmp_sign(&c_b3, c__);
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bcmis = min(d__1, d__2) * d_lmp_sign(&c_b6, b) * d_lmp_sign(&c_b6, c__);
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d__1 = abs(p);
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scale = max(d__1, bcmax);
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z__ = p / scale * p + bcmax / scale * bcmis;
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@ -47,24 +59,44 @@ int dlanv2_(doublereal *a, doublereal *b, doublereal *c__, doublereal *d__, doub
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*b -= *c__;
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*c__ = 0.;
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} else {
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count = 0;
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sigma = *b + *c__;
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L10:
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++count;
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d__1 = abs(temp), d__2 = abs(sigma);
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scale = max(d__1, d__2);
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if (scale >= safmx2) {
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sigma *= safmn2;
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temp *= safmn2;
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if (count <= 20) {
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goto L10;
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}
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}
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if (scale <= safmn2) {
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sigma *= safmx2;
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temp *= safmx2;
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if (count <= 20) {
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goto L10;
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}
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}
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p = temp * .5;
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tau = dlapy2_(&sigma, &temp);
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*cs = sqrt((abs(sigma) / tau + 1.) * .5);
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*sn = -(p / (tau * *cs)) * d_lmp_sign(&c_b3, &sigma);
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*sn = -(p / (tau * *cs)) * d_lmp_sign(&c_b6, &sigma);
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aa = *a * *cs + *b * *sn;
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bb = -(*a) * *sn + *b * *cs;
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cc = *c__ * *cs + *d__ * *sn;
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dd = -(*c__) * *sn + *d__ * *cs;
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*a = aa * *cs + cc * *sn;
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*b = bb * *cs + dd * *sn;
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*c__ = -aa * *sn + cc * *cs;
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*c__ = -(aa * *sn) + cc * *cs;
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*d__ = -bb * *sn + dd * *cs;
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temp = (*a + *d__) * .5;
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*a = temp;
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*d__ = temp;
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if (*c__ != 0.) {
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if (*b != 0.) {
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if (d_lmp_sign(&c_b3, b) == d_lmp_sign(&c_b3, c__)) {
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if (d_lmp_sign(&c_b6, b) == d_lmp_sign(&c_b6, c__)) {
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sab = sqrt((abs(*b)));
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sac = sqrt((abs(*c__)));
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d__1 = sab * sac;
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