/* -- translated by f2c (version 19940927). You must link the resulting object file with the libraries: -lf2c -lm (in that order) */ #include "f2c.h" /* Subroutine */ int cgemv_(char *trans, integer *m, integer *n, complex * alpha, complex *a, integer *lda, complex *x, integer *incx, complex * beta, complex *y, integer *incy) { /* System generated locals */ integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5; complex q__1, q__2, q__3; /* Builtin functions */ void r_cnjg(complex *, complex *); /* Local variables */ static integer info; static complex temp; static integer lenx, leny, i, j; extern logical lsame_(char *, char *); static integer ix, iy, jx, jy, kx, ky; extern /* Subroutine */ int xerbla_(char *, integer *); static logical noconj; /* Purpose ======= CGEMV performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, or y := alpha*conjg( A' )*x + beta*y, where alpha and beta are scalars, x and y are vectors and A is an m by n matrix. Parameters ========== TRANS - CHARACTER*1. On entry, TRANS specifies the operation to be performed as follows: TRANS = 'N' or 'n' y := alpha*A*x + beta*y. TRANS = 'T' or 't' y := alpha*A'*x + beta*y. TRANS = 'C' or 'c' y := alpha*conjg( A' )*x + beta*y. Unchanged on exit. M - INTEGER. On entry, M specifies the number of rows of the matrix A. M must be at least zero. Unchanged on exit. N - INTEGER. On entry, N specifies the number of columns of the matrix A. N must be at least zero. Unchanged on exit. ALPHA - COMPLEX . On entry, ALPHA specifies the scalar alpha. Unchanged on exit. A - COMPLEX array of DIMENSION ( LDA, n ). Before entry, the leading m by n part of the array A must contain the matrix of coefficients. 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 max( 1, m ). Unchanged on exit. X - COMPLEX array of DIMENSION at least ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n' and at least ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. 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 - COMPLEX . 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 - COMPLEX array of DIMENSION at least ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n' and at least ( 1 + ( n - 1 )*abs( INCY ) ) otherwise. Before entry with BETA non-zero, 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. Test the input parameters. Parameter adjustments Function Body */ #define X(I) x[(I)-1] #define Y(I) y[(I)-1] #define A(I,J) a[(I)-1 + ((J)-1)* ( *lda)] info = 0; if (! lsame_(trans, "N") && ! lsame_(trans, "T") && ! lsame_(trans, "C")) { info = 1; } else if (*m < 0) { info = 2; } else if (*n < 0) { info = 3; } else if (*lda < max(1,*m)) { info = 6; } else if (*incx == 0) { info = 8; } else if (*incy == 0) { info = 11; } if (info != 0) { xerbla_("CGEMV ", &info); return 0; } /* Quick return if possible. */ if (*m == 0 || *n == 0 || alpha->r == 0.f && alpha->i == 0.f && (beta->r == 1.f && beta->i == 0.f)) { return 0; } noconj = lsame_(trans, "T"); /* Set LENX and LENY, the lengths of the vectors x and y, and set up the start points in X and Y. */ if (lsame_(trans, "N")) { lenx = *n; leny = *m; } else { lenx = *m; leny = *n; } if (*incx > 0) { kx = 1; } else { kx = 1 - (lenx - 1) * *incx; } if (*incy > 0) { ky = 1; } else { ky = 1 - (leny - 1) * *incy; } /* Start the operations. In this version the elements of A are accessed sequentially with one pass through A. First form y := beta*y. */ if (beta->r != 1.f || beta->i != 0.f) { if (*incy == 1) { if (beta->r == 0.f && beta->i == 0.f) { i__1 = leny; for (i = 1; i <= leny; ++i) { i__2 = i; Y(i).r = 0.f, Y(i).i = 0.f; /* L10: */ } } else { i__1 = leny; for (i = 1; i <= leny; ++i) { i__2 = i; i__3 = i; q__1.r = beta->r * Y(i).r - beta->i * Y(i).i, q__1.i = beta->r * Y(i).i + beta->i * Y(i) .r; Y(i).r = q__1.r, Y(i).i = q__1.i; /* L20: */ } } } else { iy = ky; if (beta->r == 0.f && beta->i == 0.f) { i__1 = leny; for (i = 1; i <= leny; ++i) { i__2 = iy; Y(iy).r = 0.f, Y(iy).i = 0.f; iy += *incy; /* L30: */ } } else { i__1 = leny; for (i = 1; i <= leny; ++i) { i__2 = iy; i__3 = iy; q__1.r = beta->r * Y(iy).r - beta->i * Y(iy).i, q__1.i = beta->r * Y(iy).i + beta->i * Y(iy) .r; Y(iy).r = q__1.r, Y(iy).i = q__1.i; iy += *incy; /* L40: */ } } } } if (alpha->r == 0.f && alpha->i == 0.f) { return 0; } if (lsame_(trans, "N")) { /* Form y := alpha*A*x + y. */ jx = kx; if (*incy == 1) { i__1 = *n; for (j = 1; j <= *n; ++j) { i__2 = jx; if (X(jx).r != 0.f || X(jx).i != 0.f) { i__2 = jx; q__1.r = alpha->r * X(jx).r - alpha->i * X(jx).i, q__1.i = alpha->r * X(jx).i + alpha->i * X(jx) .r; temp.r = q__1.r, temp.i = q__1.i; i__2 = *m; for (i = 1; i <= *m; ++i) { i__3 = i; i__4 = i; i__5 = i + j * a_dim1; q__2.r = temp.r * A(i,j).r - temp.i * A(i,j).i, q__2.i = temp.r * A(i,j).i + temp.i * A(i,j) .r; q__1.r = Y(i).r + q__2.r, q__1.i = Y(i).i + q__2.i; Y(i).r = q__1.r, Y(i).i = q__1.i; /* L50: */ } } jx += *incx; /* L60: */ } } else { i__1 = *n; for (j = 1; j <= *n; ++j) { i__2 = jx; if (X(jx).r != 0.f || X(jx).i != 0.f) { i__2 = jx; q__1.r = alpha->r * X(jx).r - alpha->i * X(jx).i, q__1.i = alpha->r * X(jx).i + alpha->i * X(jx) .r; temp.r = q__1.r, temp.i = q__1.i; iy = ky; i__2 = *m; for (i = 1; i <= *m; ++i) { i__3 = iy; i__4 = iy; i__5 = i + j * a_dim1; q__2.r = temp.r * A(i,j).r - temp.i * A(i,j).i, q__2.i = temp.r * A(i,j).i + temp.i * A(i,j) .r; q__1.r = Y(iy).r + q__2.r, q__1.i = Y(iy).i + q__2.i; Y(iy).r = q__1.r, Y(iy).i = q__1.i; iy += *incy; /* L70: */ } } jx += *incx; /* L80: */ } } } else { /* Form y := alpha*A'*x + y or y := alpha*conjg( A' )*x + y. */ jy = ky; if (*incx == 1) { i__1 = *n; for (j = 1; j <= *n; ++j) { temp.r = 0.f, temp.i = 0.f; if (noconj) { i__2 = *m; for (i = 1; i <= *m; ++i) { i__3 = i + j * a_dim1; i__4 = i; q__2.r = A(i,j).r * X(i).r - A(i,j).i * X(i) .i, q__2.i = A(i,j).r * X(i).i + A(i,j) .i * X(i).r; q__1.r = temp.r + q__2.r, q__1.i = temp.i + q__2.i; temp.r = q__1.r, temp.i = q__1.i; /* L90: */ } } else { i__2 = *m; for (i = 1; i <= *m; ++i) { r_cnjg(&q__3, &A(i,j)); i__3 = i; q__2.r = q__3.r * X(i).r - q__3.i * X(i).i, q__2.i = q__3.r * X(i).i + q__3.i * X(i) .r; q__1.r = temp.r + q__2.r, q__1.i = temp.i + q__2.i; temp.r = q__1.r, temp.i = q__1.i; /* L100: */ } } i__2 = jy; i__3 = jy; q__2.r = alpha->r * temp.r - alpha->i * temp.i, q__2.i = alpha->r * temp.i + alpha->i * temp.r; q__1.r = Y(jy).r + q__2.r, q__1.i = Y(jy).i + q__2.i; Y(jy).r = q__1.r, Y(jy).i = q__1.i; jy += *incy; /* L110: */ } } else { i__1 = *n; for (j = 1; j <= *n; ++j) { temp.r = 0.f, temp.i = 0.f; ix = kx; if (noconj) { i__2 = *m; for (i = 1; i <= *m; ++i) { i__3 = i + j * a_dim1; i__4 = ix; q__2.r = A(i,j).r * X(ix).r - A(i,j).i * X(ix) .i, q__2.i = A(i,j).r * X(ix).i + A(i,j) .i * X(ix).r; q__1.r = temp.r + q__2.r, q__1.i = temp.i + q__2.i; temp.r = q__1.r, temp.i = q__1.i; ix += *incx; /* L120: */ } } else { i__2 = *m; for (i = 1; i <= *m; ++i) { r_cnjg(&q__3, &A(i,j)); i__3 = ix; q__2.r = q__3.r * X(ix).r - q__3.i * X(ix).i, q__2.i = q__3.r * X(ix).i + q__3.i * X(ix) .r; q__1.r = temp.r + q__2.r, q__1.i = temp.i + q__2.i; temp.r = q__1.r, temp.i = q__1.i; ix += *incx; /* L130: */ } } i__2 = jy; i__3 = jy; q__2.r = alpha->r * temp.r - alpha->i * temp.i, q__2.i = alpha->r * temp.i + alpha->i * temp.r; q__1.r = Y(jy).r + q__2.r, q__1.i = Y(jy).i + q__2.i; Y(jy).r = q__1.r, Y(jy).i = q__1.i; jy += *incy; /* L140: */ } } } return 0; /* End of CGEMV . */ } /* cgemv_ */