/* -- 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 ctrmv_(char *uplo, char *trans, char *diag, integer *n, complex *a, integer *lda, complex *x, integer *incx) { /* 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 i, j; extern logical lsame_(char *, char *); static integer ix, jx, kx; extern /* Subroutine */ int xerbla_(char *, integer *); static logical noconj, nounit; /* Purpose ======= CTRMV performs one of the matrix-vector operations x := A*x, or x := A'*x, or x := conjg( A' )*x, where x is an n element vector and A is an n by n unit, or non-unit, upper or lower triangular matrix. Parameters ========== UPLO - CHARACTER*1. On entry, UPLO specifies whether the matrix is an upper or lower triangular matrix as follows: UPLO = 'U' or 'u' A is an upper triangular matrix. UPLO = 'L' or 'l' A is a lower triangular matrix. Unchanged on exit. TRANS - CHARACTER*1. On entry, TRANS specifies the operation to be performed as follows: TRANS = 'N' or 'n' x := A*x. TRANS = 'T' or 't' x := A'*x. TRANS = 'C' or 'c' x := conjg( A' )*x. Unchanged on exit. DIAG - CHARACTER*1. On entry, DIAG specifies whether or not A is unit triangular as follows: DIAG = 'U' or 'u' A is assumed to be unit triangular. DIAG = 'N' or 'n' A is not assumed to be unit triangular. Unchanged on exit. N - INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero. Unchanged on exit. A - COMPLEX array of DIMENSION ( LDA, n ). Before entry with UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = 'L' or 'l', the leading n by n lower triangular part of the array A must contain the lower triangular matrix and the strictly upper triangular part of A is not referenced. Note that when DIAG = 'U' or 'u', the diagonal elements of A are not referenced either, but are assumed to be unity. 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, n ). Unchanged on exit. X - COMPLEX array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x. On exit, X is overwritten with the tranformed vector x. INCX - INTEGER. On entry, INCX specifies the increment for the elements of X. INCX 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 A(I,J) a[(I)-1 + ((J)-1)* ( *lda)] info = 0; if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) { info = 1; } else if (! lsame_(trans, "N") && ! lsame_(trans, "T") && ! lsame_(trans, "C")) { info = 2; } else if (! lsame_(diag, "U") && ! lsame_(diag, "N")) { info = 3; } else if (*n < 0) { info = 4; } else if (*lda < max(1,*n)) { info = 6; } else if (*incx == 0) { info = 8; } if (info != 0) { xerbla_("CTRMV ", &info); return 0; } /* Quick return if possible. */ if (*n == 0) { return 0; } noconj = lsame_(trans, "T"); nounit = lsame_(diag, "N"); /* Set up the start point in X if the increment is not unity. This will be ( N - 1 )*INCX too small for descending loops. */ if (*incx <= 0) { kx = 1 - (*n - 1) * *incx; } else if (*incx != 1) { kx = 1; } /* Start the operations. In this version the elements of A are accessed sequentially with one pass through A. */ if (lsame_(trans, "N")) { /* Form x := A*x. */ if (lsame_(uplo, "U")) { if (*incx == 1) { i__1 = *n; for (j = 1; j <= *n; ++j) { i__2 = j; if (X(j).r != 0.f || X(j).i != 0.f) { i__2 = j; temp.r = X(j).r, temp.i = X(j).i; i__2 = j - 1; for (i = 1; i <= j-1; ++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 = X(i).r + q__2.r, q__1.i = X(i).i + q__2.i; X(i).r = q__1.r, X(i).i = q__1.i; /* L10: */ } if (nounit) { i__2 = j; i__3 = j; i__4 = j + j * a_dim1; q__1.r = X(j).r * A(j,j).r - X(j).i * A(j,j).i, q__1.i = X(j).r * A(j,j).i + X(j).i * A(j,j).r; X(j).r = q__1.r, X(j).i = q__1.i; } } /* L20: */ } } else { jx = kx; 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; temp.r = X(jx).r, temp.i = X(jx).i; ix = kx; i__2 = j - 1; for (i = 1; i <= j-1; ++i) { i__3 = ix; i__4 = ix; 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 = X(ix).r + q__2.r, q__1.i = X(ix).i + q__2.i; X(ix).r = q__1.r, X(ix).i = q__1.i; ix += *incx; /* L30: */ } if (nounit) { i__2 = jx; i__3 = jx; i__4 = j + j * a_dim1; q__1.r = X(jx).r * A(j,j).r - X(jx).i * A(j,j).i, q__1.i = X(jx).r * A(j,j).i + X(jx).i * A(j,j).r; X(jx).r = q__1.r, X(jx).i = q__1.i; } } jx += *incx; /* L40: */ } } } else { if (*incx == 1) { for (j = *n; j >= 1; --j) { i__1 = j; if (X(j).r != 0.f || X(j).i != 0.f) { i__1 = j; temp.r = X(j).r, temp.i = X(j).i; i__1 = j + 1; for (i = *n; i >= j+1; --i) { i__2 = i; i__3 = i; i__4 = 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 = X(i).r + q__2.r, q__1.i = X(i).i + q__2.i; X(i).r = q__1.r, X(i).i = q__1.i; /* L50: */ } if (nounit) { i__1 = j; i__2 = j; i__3 = j + j * a_dim1; q__1.r = X(j).r * A(j,j).r - X(j).i * A(j,j).i, q__1.i = X(j).r * A(j,j).i + X(j).i * A(j,j).r; X(j).r = q__1.r, X(j).i = q__1.i; } } /* L60: */ } } else { kx += (*n - 1) * *incx; jx = kx; for (j = *n; j >= 1; --j) { i__1 = jx; if (X(jx).r != 0.f || X(jx).i != 0.f) { i__1 = jx; temp.r = X(jx).r, temp.i = X(jx).i; ix = kx; i__1 = j + 1; for (i = *n; i >= j+1; --i) { i__2 = ix; i__3 = ix; i__4 = 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 = X(ix).r + q__2.r, q__1.i = X(ix).i + q__2.i; X(ix).r = q__1.r, X(ix).i = q__1.i; ix -= *incx; /* L70: */ } if (nounit) { i__1 = jx; i__2 = jx; i__3 = j + j * a_dim1; q__1.r = X(jx).r * A(j,j).r - X(jx).i * A(j,j).i, q__1.i = X(jx).r * A(j,j).i + X(jx).i * A(j,j).r; X(jx).r = q__1.r, X(jx).i = q__1.i; } } jx -= *incx; /* L80: */ } } } } else { /* Form x := A'*x or x := conjg( A' )*x. */ if (lsame_(uplo, "U")) { if (*incx == 1) { for (j = *n; j >= 1; --j) { i__1 = j; temp.r = X(j).r, temp.i = X(j).i; if (noconj) { if (nounit) { i__1 = j + j * a_dim1; q__1.r = temp.r * A(j,j).r - temp.i * A(j,j).i, q__1.i = temp.r * A(j,j).i + temp.i * A(j,j).r; temp.r = q__1.r, temp.i = q__1.i; } for (i = j - 1; i >= 1; --i) { i__1 = i + j * a_dim1; i__2 = 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 { if (nounit) { r_cnjg(&q__2, &A(j,j)); q__1.r = temp.r * q__2.r - temp.i * q__2.i, q__1.i = temp.r * q__2.i + temp.i * q__2.r; temp.r = q__1.r, temp.i = q__1.i; } for (i = j - 1; i >= 1; --i) { r_cnjg(&q__3, &A(i,j)); i__1 = 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__1 = j; X(j).r = temp.r, X(j).i = temp.i; /* L110: */ } } else { jx = kx + (*n - 1) * *incx; for (j = *n; j >= 1; --j) { i__1 = jx; temp.r = X(jx).r, temp.i = X(jx).i; ix = jx; if (noconj) { if (nounit) { i__1 = j + j * a_dim1; q__1.r = temp.r * A(j,j).r - temp.i * A(j,j).i, q__1.i = temp.r * A(j,j).i + temp.i * A(j,j).r; temp.r = q__1.r, temp.i = q__1.i; } for (i = j - 1; i >= 1; --i) { ix -= *incx; i__1 = i + j * a_dim1; i__2 = 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; /* L120: */ } } else { if (nounit) { r_cnjg(&q__2, &A(j,j)); q__1.r = temp.r * q__2.r - temp.i * q__2.i, q__1.i = temp.r * q__2.i + temp.i * q__2.r; temp.r = q__1.r, temp.i = q__1.i; } for (i = j - 1; i >= 1; --i) { ix -= *incx; r_cnjg(&q__3, &A(i,j)); i__1 = 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; /* L130: */ } } i__1 = jx; X(jx).r = temp.r, X(jx).i = temp.i; jx -= *incx; /* L140: */ } } } else { if (*incx == 1) { i__1 = *n; for (j = 1; j <= *n; ++j) { i__2 = j; temp.r = X(j).r, temp.i = X(j).i; if (noconj) { if (nounit) { i__2 = j + j * a_dim1; q__1.r = temp.r * A(j,j).r - temp.i * A(j,j).i, q__1.i = temp.r * A(j,j).i + temp.i * A(j,j).r; temp.r = q__1.r, temp.i = q__1.i; } i__2 = *n; for (i = j + 1; i <= *n; ++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; /* L150: */ } } else { if (nounit) { r_cnjg(&q__2, &A(j,j)); q__1.r = temp.r * q__2.r - temp.i * q__2.i, q__1.i = temp.r * q__2.i + temp.i * q__2.r; temp.r = q__1.r, temp.i = q__1.i; } i__2 = *n; for (i = j + 1; i <= *n; ++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; /* L160: */ } } i__2 = j; X(j).r = temp.r, X(j).i = temp.i; /* L170: */ } } else { jx = kx; i__1 = *n; for (j = 1; j <= *n; ++j) { i__2 = jx; temp.r = X(jx).r, temp.i = X(jx).i; ix = jx; if (noconj) { if (nounit) { i__2 = j + j * a_dim1; q__1.r = temp.r * A(j,j).r - temp.i * A(j,j).i, q__1.i = temp.r * A(j,j).i + temp.i * A(j,j).r; temp.r = q__1.r, temp.i = q__1.i; } i__2 = *n; for (i = j + 1; i <= *n; ++i) { ix += *incx; 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; /* L180: */ } } else { if (nounit) { r_cnjg(&q__2, &A(j,j)); q__1.r = temp.r * q__2.r - temp.i * q__2.i, q__1.i = temp.r * q__2.i + temp.i * q__2.r; temp.r = q__1.r, temp.i = q__1.i; } i__2 = *n; for (i = j + 1; i <= *n; ++i) { ix += *incx; 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; /* L190: */ } } i__2 = jx; X(jx).r = temp.r, X(jx).i = temp.i; jx += *incx; /* L200: */ } } } } return 0; /* End of CTRMV . */ } /* ctrmv_ */