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/dspmv.c b/blas/f2c/dspmv.c
new file mode 100644
index 0000000..0b4e92d
--- /dev/null
+++ b/blas/f2c/dspmv.c
@@ -0,0 +1,316 @@
+/* dspmv.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 dspmv_(char *uplo, integer *n, doublereal *alpha,
+ doublereal *ap, doublereal *x, integer *incx, doublereal *beta,
+ doublereal *y, integer *incy, ftnlen uplo_len)
+{
+ /* System generated locals */
+ integer i__1, i__2;
+
+ /* Local variables */
+ integer i__, j, k, kk, ix, iy, jx, jy, kx, ky, info;
+ doublereal temp1, temp2;
+ extern logical lsame_(char *, char *, ftnlen, ftnlen);
+ extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* DSPMV performs the matrix-vector operation */
+
+/* y := alpha*A*x + beta*y, */
+
+/* where alpha and beta are scalars, x and y are n element vectors and */
+/* A is an n by n symmetric matrix, supplied in packed form. */
+
+/* Arguments */
+/* ========== */
+
+/* UPLO - CHARACTER*1. */
+/* On entry, UPLO specifies whether the upper or lower */
+/* triangular part of the matrix A is supplied in the packed */
+/* array AP as follows: */
+
+/* UPLO = 'U' or 'u' The upper triangular part of A is */
+/* supplied in AP. */
+
+/* UPLO = 'L' or 'l' The lower triangular part of A is */
+/* supplied in AP. */
+
+/* Unchanged on exit. */
+
+/* N - INTEGER. */
+/* On entry, N specifies the order of the matrix A. */
+/* N must be at least zero. */
+/* Unchanged on exit. */
+
+/* ALPHA - DOUBLE PRECISION. */
+/* On entry, ALPHA specifies the scalar alpha. */
+/* Unchanged on exit. */
+
+/* AP - DOUBLE PRECISION array of DIMENSION at least */
+/* ( ( n*( n + 1 ) )/2 ). */
+/* Before entry with UPLO = 'U' or 'u', the array AP must */
+/* contain the upper triangular part of the symmetric matrix */
+/* packed sequentially, column by column, so that AP( 1 ) */
+/* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) */
+/* and a( 2, 2 ) respectively, and so on. */
+/* Before entry with UPLO = 'L' or 'l', the array AP must */
+/* contain the lower triangular part of the symmetric matrix */
+/* packed sequentially, column by column, so that AP( 1 ) */
+/* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) */
+/* and a( 3, 1 ) respectively, and so on. */
+/* Unchanged on exit. */
+
+/* X - DOUBLE PRECISION array of dimension at least */
+/* ( 1 + ( n - 1 )*abs( INCX ) ). */
+/* Before entry, the incremented array X must contain the n */
+/* element vector x. */
+/* Unchanged on exit. */
+
+/* INCX - INTEGER. */
+/* On entry, INCX specifies the increment for the elements of */
+/* X. INCX must not be zero. */
+/* Unchanged on exit. */
+
+/* BETA - DOUBLE PRECISION. */
+/* On entry, BETA specifies the scalar beta. When BETA is */
+/* supplied as zero then Y need not be set on input. */
+/* Unchanged on exit. */
+
+/* Y - DOUBLE PRECISION array of dimension at least */
+/* ( 1 + ( n - 1 )*abs( INCY ) ). */
+/* Before entry, the incremented array Y must contain the n */
+/* element vector y. On exit, Y is overwritten by the updated */
+/* vector y. */
+
+/* INCY - INTEGER. */
+/* On entry, INCY specifies the increment for the elements of */
+/* Y. INCY must not be zero. */
+/* Unchanged on exit. */
+
+/* Further Details */
+/* =============== */
+
+/* Level 2 Blas routine. */
+
+/* -- Written on 22-October-1986. */
+/* Jack Dongarra, Argonne National Lab. */
+/* Jeremy Du Croz, Nag Central Office. */
+/* Sven Hammarling, Nag Central Office. */
+/* Richard Hanson, Sandia National Labs. */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+
+/* Test the input parameters. */
+
+ /* Parameter adjustments */
+ --y;
+ --x;
+ --ap;
+
+ /* Function Body */
+ info = 0;
+ if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
+ ftnlen)1, (ftnlen)1)) {
+ info = 1;
+ } else if (*n < 0) {
+ info = 2;
+ } else if (*incx == 0) {
+ info = 6;
+ } else if (*incy == 0) {
+ info = 9;
+ }
+ if (info != 0) {
+ xerbla_("DSPMV ", &info, (ftnlen)6);
+ return 0;
+ }
+
+/* Quick return if possible. */
+
+ if (*n == 0 || (*alpha == 0. && *beta == 1.)) {
+ return 0;
+ }
+
+/* Set up the start points in X and Y. */
+
+ if (*incx > 0) {
+ kx = 1;
+ } else {
+ kx = 1 - (*n - 1) * *incx;
+ }
+ if (*incy > 0) {
+ ky = 1;
+ } else {
+ ky = 1 - (*n - 1) * *incy;
+ }
+
+/* Start the operations. In this version the elements of the array AP */
+/* are accessed sequentially with one pass through AP. */
+
+/* First form y := beta*y. */
+
+ if (*beta != 1.) {
+ if (*incy == 1) {
+ if (*beta == 0.) {
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ y[i__] = 0.;
+/* L10: */
+ }
+ } else {
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ y[i__] = *beta * y[i__];
+/* L20: */
+ }
+ }
+ } else {
+ iy = ky;
+ if (*beta == 0.) {
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ y[iy] = 0.;
+ iy += *incy;
+/* L30: */
+ }
+ } else {
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ y[iy] = *beta * y[iy];
+ iy += *incy;
+/* L40: */
+ }
+ }
+ }
+ }
+ if (*alpha == 0.) {
+ return 0;
+ }
+ kk = 1;
+ if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
+
+/* Form y when AP contains the upper triangle. */
+
+ if (*incx == 1 && *incy == 1) {
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ temp1 = *alpha * x[j];
+ temp2 = 0.;
+ k = kk;
+ i__2 = j - 1;
+ for (i__ = 1; i__ <= i__2; ++i__) {
+ y[i__] += temp1 * ap[k];
+ temp2 += ap[k] * x[i__];
+ ++k;
+/* L50: */
+ }
+ y[j] = y[j] + temp1 * ap[kk + j - 1] + *alpha * temp2;
+ kk += j;
+/* L60: */
+ }
+ } else {
+ jx = kx;
+ jy = ky;
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ temp1 = *alpha * x[jx];
+ temp2 = 0.;
+ ix = kx;
+ iy = ky;
+ i__2 = kk + j - 2;
+ for (k = kk; k <= i__2; ++k) {
+ y[iy] += temp1 * ap[k];
+ temp2 += ap[k] * x[ix];
+ ix += *incx;
+ iy += *incy;
+/* L70: */
+ }
+ y[jy] = y[jy] + temp1 * ap[kk + j - 1] + *alpha * temp2;
+ jx += *incx;
+ jy += *incy;
+ kk += j;
+/* L80: */
+ }
+ }
+ } else {
+
+/* Form y when AP contains the lower triangle. */
+
+ if (*incx == 1 && *incy == 1) {
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ temp1 = *alpha * x[j];
+ temp2 = 0.;
+ y[j] += temp1 * ap[kk];
+ k = kk + 1;
+ i__2 = *n;
+ for (i__ = j + 1; i__ <= i__2; ++i__) {
+ y[i__] += temp1 * ap[k];
+ temp2 += ap[k] * x[i__];
+ ++k;
+/* L90: */
+ }
+ y[j] += *alpha * temp2;
+ kk += *n - j + 1;
+/* L100: */
+ }
+ } else {
+ jx = kx;
+ jy = ky;
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ temp1 = *alpha * x[jx];
+ temp2 = 0.;
+ y[jy] += temp1 * ap[kk];
+ ix = jx;
+ iy = jy;
+ i__2 = kk + *n - j;
+ for (k = kk + 1; k <= i__2; ++k) {
+ ix += *incx;
+ iy += *incy;
+ y[iy] += temp1 * ap[k];
+ temp2 += ap[k] * x[ix];
+/* L110: */
+ }
+ y[jy] += *alpha * temp2;
+ jx += *incx;
+ jy += *incy;
+ kk += *n - j + 1;
+/* L120: */
+ }
+ }
+ }
+
+ return 0;
+
+/* End of DSPMV . */
+
+} /* dspmv_ */
+