#include "blaswrap.h" #include "f2c.h" /* Subroutine */ int sspmv_(char *uplo, integer *n, real *alpha, real *ap, real *x, integer *incx, real *beta, real *y, integer *incy) { /* System generated locals */ integer i__1, i__2; /* Local variables */ static integer i__, j, k, kk, ix, iy, jx, jy, kx, ky, info; static real temp1, temp2; extern logical lsame_(char *, char *); extern /* Subroutine */ int xerbla_(char *, integer *); /* Purpose ======= SSPMV 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 - REAL . On entry, ALPHA specifies the scalar alpha. Unchanged on exit. AP - REAL 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 - REAL 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 - REAL . 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 - REAL 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. 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. Test the input parameters. Parameter adjustments */ --y; --x; --ap; /* Function Body */ info = 0; if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) { info = 1; } else if (*n < 0) { info = 2; } else if (*incx == 0) { info = 6; } else if (*incy == 0) { info = 9; } if (info != 0) { xerbla_("SSPMV ", &info); return 0; } /* Quick return if possible. */ if (*n == 0 || *alpha == 0.f && *beta == 1.f) { 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.f) { if (*incy == 1) { if (*beta == 0.f) { i__1 = *n; for (i__ = 1; i__ <= i__1; ++i__) { y[i__] = 0.f; /* L10: */ } } else { i__1 = *n; for (i__ = 1; i__ <= i__1; ++i__) { y[i__] = *beta * y[i__]; /* L20: */ } } } else { iy = ky; if (*beta == 0.f) { i__1 = *n; for (i__ = 1; i__ <= i__1; ++i__) { y[iy] = 0.f; 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.f) { return 0; } kk = 1; if (lsame_(uplo, "U")) { /* 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.f; 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.f; 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.f; 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.f; 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 SSPMV . */ } /* sspmv_ */