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/drotm.c b/blas/f2c/drotm.c
new file mode 100644
index 0000000..17a779b
--- /dev/null
+++ b/blas/f2c/drotm.c
@@ -0,0 +1,215 @@
+/* drotm.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 drotm_(integer *n, doublereal *dx, integer *incx, 
+	doublereal *dy, integer *incy, doublereal *dparam)
+{
+    /* Initialized data */
+
+    static doublereal zero = 0.;
+    static doublereal two = 2.;
+
+    /* System generated locals */
+    integer i__1, i__2;
+
+    /* Local variables */
+    integer i__;
+    doublereal w, z__;
+    integer kx, ky;
+    doublereal dh11, dh12, dh21, dh22, dflag;
+    integer nsteps;
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*     APPLY THE MODIFIED GIVENS TRANSFORMATION, H, TO THE 2 BY N MATRIX */
+
+/*     (DX**T) , WHERE **T INDICATES TRANSPOSE. THE ELEMENTS OF DX ARE IN */
+/*     (DY**T) */
+
+/*     DX(LX+I*INCX), I = 0 TO N-1, WHERE LX = 1 IF INCX .GE. 0, ELSE */
+/*     LX = (-INCX)*N, AND SIMILARLY FOR SY USING LY AND INCY. */
+/*     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). */
+/*     SEE DROTMG FOR A DESCRIPTION OF DATA STORAGE IN DPARAM. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  N      (input) INTEGER */
+/*         number of elements in input vector(s) */
+
+/*  DX     (input/output) DOUBLE PRECISION array, dimension N */
+/*         double precision vector with N elements */
+
+/*  INCX   (input) INTEGER */
+/*         storage spacing between elements of DX */
+
+/*  DY     (input/output) DOUBLE PRECISION array, dimension N */
+/*         double precision vector with N elements */
+
+/*  INCY   (input) INTEGER */
+/*         storage spacing between elements of DY */
+
+/*  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 .. */
+/*     .. */
+/*     .. Data statements .. */
+    /* Parameter adjustments */
+    --dparam;
+    --dy;
+    --dx;
+
+    /* Function Body */
+/*     .. */
+
+    dflag = dparam[1];
+    if (*n <= 0 || dflag + two == zero) {
+	goto L140;
+    }
+    if (! (*incx == *incy && *incx > 0)) {
+	goto L70;
+    }
+
+    nsteps = *n * *incx;
+    if (dflag < 0.) {
+	goto L50;
+    } else if (dflag == 0) {
+	goto L10;
+    } else {
+	goto L30;
+    }
+L10:
+    dh12 = dparam[4];
+    dh21 = dparam[3];
+    i__1 = nsteps;
+    i__2 = *incx;
+    for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
+	w = dx[i__];
+	z__ = dy[i__];
+	dx[i__] = w + z__ * dh12;
+	dy[i__] = w * dh21 + z__;
+/* L20: */
+    }
+    goto L140;
+L30:
+    dh11 = dparam[2];
+    dh22 = dparam[5];
+    i__2 = nsteps;
+    i__1 = *incx;
+    for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ += i__1) {
+	w = dx[i__];
+	z__ = dy[i__];
+	dx[i__] = w * dh11 + z__;
+	dy[i__] = -w + dh22 * z__;
+/* L40: */
+    }
+    goto L140;
+L50:
+    dh11 = dparam[2];
+    dh12 = dparam[4];
+    dh21 = dparam[3];
+    dh22 = dparam[5];
+    i__1 = nsteps;
+    i__2 = *incx;
+    for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
+	w = dx[i__];
+	z__ = dy[i__];
+	dx[i__] = w * dh11 + z__ * dh12;
+	dy[i__] = w * dh21 + z__ * dh22;
+/* L60: */
+    }
+    goto L140;
+L70:
+    kx = 1;
+    ky = 1;
+    if (*incx < 0) {
+	kx = (1 - *n) * *incx + 1;
+    }
+    if (*incy < 0) {
+	ky = (1 - *n) * *incy + 1;
+    }
+
+    if (dflag < 0.) {
+	goto L120;
+    } else if (dflag == 0) {
+	goto L80;
+    } else {
+	goto L100;
+    }
+L80:
+    dh12 = dparam[4];
+    dh21 = dparam[3];
+    i__2 = *n;
+    for (i__ = 1; i__ <= i__2; ++i__) {
+	w = dx[kx];
+	z__ = dy[ky];
+	dx[kx] = w + z__ * dh12;
+	dy[ky] = w * dh21 + z__;
+	kx += *incx;
+	ky += *incy;
+/* L90: */
+    }
+    goto L140;
+L100:
+    dh11 = dparam[2];
+    dh22 = dparam[5];
+    i__2 = *n;
+    for (i__ = 1; i__ <= i__2; ++i__) {
+	w = dx[kx];
+	z__ = dy[ky];
+	dx[kx] = w * dh11 + z__;
+	dy[ky] = -w + dh22 * z__;
+	kx += *incx;
+	ky += *incy;
+/* L110: */
+    }
+    goto L140;
+L120:
+    dh11 = dparam[2];
+    dh12 = dparam[4];
+    dh21 = dparam[3];
+    dh22 = dparam[5];
+    i__2 = *n;
+    for (i__ = 1; i__ <= i__2; ++i__) {
+	w = dx[kx];
+	z__ = dy[ky];
+	dx[kx] = w * dh11 + z__ * dh12;
+	dy[ky] = w * dh21 + z__ * dh22;
+	kx += *incx;
+	ky += *incy;
+/* L130: */
+    }
+L140:
+    return 0;
+} /* drotm_ */
+