Squashed 'third_party/eigen/' changes from 61d72f6..cf794d3


Change-Id: I9b814151b01f49af6337a8605d0c42a3a1ed4c72
git-subtree-dir: third_party/eigen
git-subtree-split: cf794d3b741a6278df169e58461f8529f43bce5d
diff --git a/blas/f2c/drotmg.c b/blas/f2c/drotmg.c
new file mode 100644
index 0000000..a63eb10
--- /dev/null
+++ b/blas/f2c/drotmg.c
@@ -0,0 +1,293 @@
+/* drotmg.f -- translated by f2c (version 20100827).
+   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 "datatypes.h"
+
+/* Subroutine */ int drotmg_(doublereal *dd1, doublereal *dd2, doublereal *
+	dx1, doublereal *dy1, doublereal *dparam)
+{
+    /* Initialized data */
+
+    static doublereal zero = 0.;
+    static doublereal one = 1.;
+    static doublereal two = 2.;
+    static doublereal gam = 4096.;
+    static doublereal gamsq = 16777216.;
+    static doublereal rgamsq = 5.9604645e-8;
+
+    /* Format strings */
+    static char fmt_120[] = "";
+    static char fmt_150[] = "";
+    static char fmt_180[] = "";
+    static char fmt_210[] = "";
+
+    /* System generated locals */
+    doublereal d__1;
+
+    /* Local variables */
+    doublereal du, dp1, dp2, dq1, dq2, dh11, dh12, dh21, dh22;
+    integer igo;
+    doublereal dflag, dtemp;
+
+    /* Assigned format variables */
+    static char *igo_fmt;
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*     CONSTRUCT THE MODIFIED GIVENS TRANSFORMATION MATRIX H WHICH ZEROS */
+/*     THE SECOND COMPONENT OF THE 2-VECTOR  (DSQRT(DD1)*DX1,DSQRT(DD2)* */
+/*     DY2)**T. */
+/*     WITH DPARAM(1)=DFLAG, H HAS ONE OF THE FOLLOWING FORMS.. */
+
+/*     DFLAG=-1.D0     DFLAG=0.D0        DFLAG=1.D0     DFLAG=-2.D0 */
+
+/*       (DH11  DH12)    (1.D0  DH12)    (DH11  1.D0)    (1.D0  0.D0) */
+/*     H=(          )    (          )    (          )    (          ) */
+/*       (DH21  DH22),   (DH21  1.D0),   (-1.D0 DH22),   (0.D0  1.D0). */
+/*     LOCATIONS 2-4 OF DPARAM CONTAIN DH11, DH21, DH12, AND DH22 */
+/*     RESPECTIVELY. (VALUES OF 1.D0, -1.D0, OR 0.D0 IMPLIED BY THE */
+/*     VALUE OF DPARAM(1) ARE NOT STORED IN DPARAM.) */
+
+/*     THE VALUES OF GAMSQ AND RGAMSQ SET IN THE DATA STATEMENT MAY BE */
+/*     INEXACT.  THIS IS OK AS THEY ARE ONLY USED FOR TESTING THE SIZE */
+/*     OF DD1 AND DD2.  ALL ACTUAL SCALING OF DATA IS DONE USING GAM. */
+
+
+/*  Arguments */
+/*  ========= */
+
+/*  DD1    (input/output) DOUBLE PRECISION */
+
+/*  DD2    (input/output) DOUBLE PRECISION */
+
+/*  DX1    (input/output) DOUBLE PRECISION */
+
+/*  DY1    (input) DOUBLE PRECISION */
+
+/*  DPARAM (input/output)  DOUBLE PRECISION array, dimension 5 */
+/*     DPARAM(1)=DFLAG */
+/*     DPARAM(2)=DH11 */
+/*     DPARAM(3)=DH21 */
+/*     DPARAM(4)=DH12 */
+/*     DPARAM(5)=DH22 */
+
+/*  ===================================================================== */
+
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Data statements .. */
+
+    /* Parameter adjustments */
+    --dparam;
+
+    /* Function Body */
+/*     .. */
+    if (! (*dd1 < zero)) {
+	goto L10;
+    }
+/*       GO ZERO-H-D-AND-DX1.. */
+    goto L60;
+L10:
+/*     CASE-DD1-NONNEGATIVE */
+    dp2 = *dd2 * *dy1;
+    if (! (dp2 == zero)) {
+	goto L20;
+    }
+    dflag = -two;
+    goto L260;
+/*     REGULAR-CASE.. */
+L20:
+    dp1 = *dd1 * *dx1;
+    dq2 = dp2 * *dy1;
+    dq1 = dp1 * *dx1;
+
+    if (! (abs(dq1) > abs(dq2))) {
+	goto L40;
+    }
+    dh21 = -(*dy1) / *dx1;
+    dh12 = dp2 / dp1;
+
+    du = one - dh12 * dh21;
+
+    if (! (du <= zero)) {
+	goto L30;
+    }
+/*         GO ZERO-H-D-AND-DX1.. */
+    goto L60;
+L30:
+    dflag = zero;
+    *dd1 /= du;
+    *dd2 /= du;
+    *dx1 *= du;
+/*         GO SCALE-CHECK.. */
+    goto L100;
+L40:
+    if (! (dq2 < zero)) {
+	goto L50;
+    }
+/*         GO ZERO-H-D-AND-DX1.. */
+    goto L60;
+L50:
+    dflag = one;
+    dh11 = dp1 / dp2;
+    dh22 = *dx1 / *dy1;
+    du = one + dh11 * dh22;
+    dtemp = *dd2 / du;
+    *dd2 = *dd1 / du;
+    *dd1 = dtemp;
+    *dx1 = *dy1 * du;
+/*         GO SCALE-CHECK */
+    goto L100;
+/*     PROCEDURE..ZERO-H-D-AND-DX1.. */
+L60:
+    dflag = -one;
+    dh11 = zero;
+    dh12 = zero;
+    dh21 = zero;
+    dh22 = zero;
+
+    *dd1 = zero;
+    *dd2 = zero;
+    *dx1 = zero;
+/*         RETURN.. */
+    goto L220;
+/*     PROCEDURE..FIX-H.. */
+L70:
+    if (! (dflag >= zero)) {
+	goto L90;
+    }
+
+    if (! (dflag == zero)) {
+	goto L80;
+    }
+    dh11 = one;
+    dh22 = one;
+    dflag = -one;
+    goto L90;
+L80:
+    dh21 = -one;
+    dh12 = one;
+    dflag = -one;
+L90:
+    switch (igo) {
+	case 0: goto L120;
+	case 1: goto L150;
+	case 2: goto L180;
+	case 3: goto L210;
+    }
+/*     PROCEDURE..SCALE-CHECK */
+L100:
+L110:
+    if (! (*dd1 <= rgamsq)) {
+	goto L130;
+    }
+    if (*dd1 == zero) {
+	goto L160;
+    }
+    igo = 0;
+    igo_fmt = fmt_120;
+/*              FIX-H.. */
+    goto L70;
+L120:
+/* Computing 2nd power */
+    d__1 = gam;
+    *dd1 *= d__1 * d__1;
+    *dx1 /= gam;
+    dh11 /= gam;
+    dh12 /= gam;
+    goto L110;
+L130:
+L140:
+    if (! (*dd1 >= gamsq)) {
+	goto L160;
+    }
+    igo = 1;
+    igo_fmt = fmt_150;
+/*              FIX-H.. */
+    goto L70;
+L150:
+/* Computing 2nd power */
+    d__1 = gam;
+    *dd1 /= d__1 * d__1;
+    *dx1 *= gam;
+    dh11 *= gam;
+    dh12 *= gam;
+    goto L140;
+L160:
+L170:
+    if (! (abs(*dd2) <= rgamsq)) {
+	goto L190;
+    }
+    if (*dd2 == zero) {
+	goto L220;
+    }
+    igo = 2;
+    igo_fmt = fmt_180;
+/*              FIX-H.. */
+    goto L70;
+L180:
+/* Computing 2nd power */
+    d__1 = gam;
+    *dd2 *= d__1 * d__1;
+    dh21 /= gam;
+    dh22 /= gam;
+    goto L170;
+L190:
+L200:
+    if (! (abs(*dd2) >= gamsq)) {
+	goto L220;
+    }
+    igo = 3;
+    igo_fmt = fmt_210;
+/*              FIX-H.. */
+    goto L70;
+L210:
+/* Computing 2nd power */
+    d__1 = gam;
+    *dd2 /= d__1 * d__1;
+    dh21 *= gam;
+    dh22 *= gam;
+    goto L200;
+L220:
+    if (dflag < 0.) {
+	goto L250;
+    } else if (dflag == 0) {
+	goto L230;
+    } else {
+	goto L240;
+    }
+L230:
+    dparam[3] = dh21;
+    dparam[4] = dh12;
+    goto L260;
+L240:
+    dparam[2] = dh11;
+    dparam[5] = dh22;
+    goto L260;
+L250:
+    dparam[2] = dh11;
+    dparam[3] = dh21;
+    dparam[4] = dh12;
+    dparam[5] = dh22;
+L260:
+    dparam[1] = dflag;
+    return 0;
+} /* drotmg_ */
+