/* Subroutine */ int PASTEF77(d,spr2)(character *uplo, integer *n, doublereal *alpha, doublereal *x, integer *incx, doublereal *y, integer *incy, doublereal *ap)
{
/* System generated locals */
integer i__1, i__2;
/* Local variables */
integer info;
doublereal temp1, temp2;
integer i__, j, k;
extern logical PASTEF770(lsame)(character *, character *, ftnlen, ftnlen);
integer kk, ix, iy, jx = 0, jy = 0, kx = 0, ky = 0;
extern /* Subroutine */ int PASTEF770(xerbla)(character *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DSPR2 performs the symmetric rank 2 operation */
/* A := alpha*x*y' + alpha*y*x' + A, */
/* where alpha is a scalar, x and y are n element vectors and A is an */
/* n by n symmetric matrix, supplied in packed form. */
/* Parameters */
/* ========== */
/* 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. */
/* 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. */
/* 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. */
/* Unchanged on exit. */
/* INCY - INTEGER. */
/* On entry, INCY specifies the increment for the elements of */
/* Y. INCY must not be zero. */
/* 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. On exit, the array */
/* AP is overwritten by the upper triangular part of the */
/* updated matrix. */
/* 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. On exit, the array */
/* AP is overwritten by the lower triangular part of the */
/* updated matrix. */
/* 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 .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
--ap;
--y;
--x;
/* Function Body */
info = 0;
if (! PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*incx == 0) {
info = 5;
} else if (*incy == 0) {
info = 7;
}
if (info != 0) {
PASTEF770(xerbla)("DSPR2 ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || *alpha == 0.) {
return 0;
}
/* Set up the start points in X and Y if the increments are not both */
/* unity. */
if (*incx != 1 || *incy != 1) {
if (*incx > 0) {
kx = 1;
} else {
kx = 1 - (*n - 1) * *incx;
}
if (*incy > 0) {
ky = 1;
} else {
ky = 1 - (*n - 1) * *incy;
}
jx = kx;
jy = ky;
}
/* Start the operations. In this version the elements of the array AP */
/* are accessed sequentially with one pass through AP. */
kk = 1;
if (PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form A when upper triangle is stored in AP. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0. || y[j] != 0.) {
temp1 = *alpha * y[j];
temp2 = *alpha * x[j];
k = kk;
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
ap[k] = ap[k] + x[i__] * temp1 + y[i__] * temp2;
++k;
/* L10: */
}
}
kk += j;
/* L20: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0. || y[jy] != 0.) {
temp1 = *alpha * y[jy];
temp2 = *alpha * x[jx];
ix = kx;
iy = ky;
i__2 = kk + j - 1;
for (k = kk; k <= i__2; ++k) {
ap[k] = ap[k] + x[ix] * temp1 + y[iy] * temp2;
ix += *incx;
iy += *incy;
/* L30: */
}
}
jx += *incx;
jy += *incy;
kk += j;
/* L40: */
}
}
} else {
/* Form A when lower triangle is stored in AP. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0. || y[j] != 0.) {
temp1 = *alpha * y[j];
temp2 = *alpha * x[j];
k = kk;
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
ap[k] = ap[k] + x[i__] * temp1 + y[i__] * temp2;
++k;
/* L50: */
}
}
kk = kk + *n - j + 1;
/* L60: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0. || y[jy] != 0.) {
temp1 = *alpha * y[jy];
temp2 = *alpha * x[jx];
ix = jx;
iy = jy;
i__2 = kk + *n - j;
for (k = kk; k <= i__2; ++k) {
ap[k] = ap[k] + x[ix] * temp1 + y[iy] * temp2;
ix += *incx;
iy += *incy;
/* L70: */
}
}
jx += *incx;
jy += *incy;
kk = kk + *n - j + 1;
/* L80: */
}
}
}
return 0;
/* End of DSPR2 . */
} /* dspr2_ */
/* Subroutine */ int PASTEF77(d,sbmv)(const bla_character *uplo, const bla_integer *n, const bla_integer *k, const bla_double *alpha, const bla_double *a, const bla_integer *lda, const bla_double *x, const bla_integer *incx, const bla_double *beta, bla_double *y, const bla_integer *incy)
{
/* System generated locals */
bla_integer a_dim1, a_offset, i__1, i__2, i__3, i__4;
/* Local variables */
bla_integer info;
bla_double temp1, temp2;
bla_integer i__, j, l;
//extern bla_logical PASTEF770(lsame)(bla_character *, bla_character *, ftnlen, ftnlen);
bla_integer kplus1, ix, iy, jx, jy, kx, ky;
//extern /* Subroutine */ int PASTEF770(xerbla)(bla_character *, bla_integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DSBMV 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 band matrix, with k super-diagonals. */
/* Parameters */
/* ========== */
/* UPLO - CHARACTER*1. */
/* On entry, UPLO specifies whether the upper or lower */
/* triangular part of the band matrix A is being supplied as */
/* follows: */
/* UPLO = 'U' or 'u' The upper triangular part of A is */
/* being supplied. */
/* UPLO = 'L' or 'l' The lower triangular part of A is */
/* being supplied. */
/* Unchanged on exit. */
/* N - INTEGER. */
/* On entry, N specifies the order of the matrix A. */
/* N must be at least zero. */
/* Unchanged on exit. */
/* K - INTEGER. */
/* On entry, K specifies the number of super-diagonals of the */
/* matrix A. K must satisfy 0 .le. K. */
/* Unchanged on exit. */
/* ALPHA - DOUBLE PRECISION. */
/* On entry, ALPHA specifies the scalar alpha. */
/* Unchanged on exit. */
/* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ). */
/* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 ) */
/* by n part of the array A must contain the upper triangular */
/* band part of the symmetric matrix, supplied column by */
/* column, with the leading diagonal of the matrix in row */
/* ( k + 1 ) of the array, the first super-diagonal starting at */
/* position 2 in row k, and so on. The top left k by k triangle */
/* of the array A is not referenced. */
/* The following program segment will transfer the upper */
/* triangular part of a symmetric band matrix from conventional */
/* full matrix storage to band storage: */
/* DO 20, J = 1, N */
/* M = K + 1 - J */
/* DO 10, I = MAX( 1, J - K ), J */
/* A( M + I, J ) = matrix( I, J ) */
/* 10 CONTINUE */
/* 20 CONTINUE */
/* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 ) */
/* by n part of the array A must contain the lower triangular */
/* band part of the symmetric matrix, supplied column by */
/* column, with the leading diagonal of the matrix in row 1 of */
/* the array, the first sub-diagonal starting at position 1 in */
/* row 2, and so on. The bottom right k by k triangle of the */
/* array A is not referenced. */
/* The following program segment will transfer the lower */
/* triangular part of a symmetric band matrix from conventional */
/* full matrix storage to band storage: */
/* DO 20, J = 1, N */
/* M = 1 - J */
/* DO 10, I = J, MIN( N, J + K ) */
/* A( M + I, J ) = matrix( I, J ) */
/* 10 CONTINUE */
/* 20 CONTINUE */
/* Unchanged on exit. */
/* LDA - INTEGER. */
/* On entry, LDA specifies the first dimension of A as declared */
/* in the calling (sub) program. LDA must be at least */
/* ( k + 1 ). */
/* 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 */
/* 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. */
/* 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 */
/* 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. */
/* 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 .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
--x;
--y;
/* Function Body */
info = 0;
if (! PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*k < 0) {
info = 3;
} else if (*lda < *k + 1) {
info = 6;
} else if (*incx == 0) {
info = 8;
} else if (*incy == 0) {
info = 11;
}
if (info != 0) {
PASTEF770(xerbla)("DSBMV ", &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 A */
/* are accessed sequentially with one pass through A. */
/* 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;
}
if (PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form y when upper triangle of A is stored. */
kplus1 = *k + 1;
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
temp1 = *alpha * x[j];
temp2 = 0.;
l = kplus1 - j;
/* Computing MAX */
i__2 = 1, i__3 = j - *k;
i__4 = j - 1;
for (i__ = f2c_max(i__2,i__3); i__ <= i__4; ++i__) {
y[i__] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[i__];
/* L50: */
}
y[j] = y[j] + temp1 * a[kplus1 + j * a_dim1] + *alpha * temp2;
/* 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;
l = kplus1 - j;
/* Computing MAX */
i__4 = 1, i__2 = j - *k;
i__3 = j - 1;
for (i__ = f2c_max(i__4,i__2); i__ <= i__3; ++i__) {
y[iy] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[ix];
ix += *incx;
iy += *incy;
/* L70: */
}
y[jy] = y[jy] + temp1 * a[kplus1 + j * a_dim1] + *alpha *
temp2;
jx += *incx;
jy += *incy;
if (j > *k) {
kx += *incx;
ky += *incy;
}
/* L80: */
}
}
} else {
/* Form y when lower triangle of A is stored. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
temp1 = *alpha * x[j];
temp2 = 0.;
y[j] += temp1 * a[j * a_dim1 + 1];
l = 1 - j;
/* Computing MIN */
i__4 = *n, i__2 = j + *k;
i__3 = f2c_min(i__4,i__2);
for (i__ = j + 1; i__ <= i__3; ++i__) {
y[i__] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[i__];
/* L90: */
}
y[j] += *alpha * temp2;
/* 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 * a[j * a_dim1 + 1];
l = 1 - j;
ix = jx;
iy = jy;
/* Computing MIN */
i__4 = *n, i__2 = j + *k;
i__3 = f2c_min(i__4,i__2);
for (i__ = j + 1; i__ <= i__3; ++i__) {
ix += *incx;
iy += *incy;
y[iy] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[ix];
/* L110: */
}
y[jy] += *alpha * temp2;
jx += *incx;
jy += *incy;
/* L120: */
}
}
}
return 0;
/* End of DSBMV . */
} /* dsbmv_ */