/* clangt.f -- translated by f2c (version 20061008). 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 "f2c.h" #include "blaswrap.h" /* Table of constant values */ static integer c__1 = 1; doublereal clangt_(char *norm, integer *n, complex *dl, complex *d__, complex *du) { /* System generated locals */ integer i__1; real ret_val, r__1, r__2; /* Builtin functions */ double c_abs(complex *), sqrt(doublereal); /* Local variables */ integer i__; real sum, scale; extern logical lsame_(char *, char *); real anorm; extern /* Subroutine */ int classq_(integer *, complex *, integer *, real *, real *); /* -- LAPACK auxiliary routine (version 3.2) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* CLANGT returns the value of the one norm, or the Frobenius norm, or */ /* the infinity norm, or the element of largest absolute value of a */ /* complex tridiagonal matrix A. */ /* Description */ /* =========== */ /* CLANGT returns the value */ /* CLANGT = ( max(abs(A(i,j))), NORM = 'M' or 'm' */ /* ( */ /* ( norm1(A), NORM = '1', 'O' or 'o' */ /* ( */ /* ( normI(A), NORM = 'I' or 'i' */ /* ( */ /* ( normF(A), NORM = 'F', 'f', 'E' or 'e' */ /* where norm1 denotes the one norm of a matrix (maximum column sum), */ /* normI denotes the infinity norm of a matrix (maximum row sum) and */ /* normF denotes the Frobenius norm of a matrix (square root of sum of */ /* squares). Note that max(abs(A(i,j))) is not a consistent matrix norm. */ /* Arguments */ /* ========= */ /* NORM (input) CHARACTER*1 */ /* Specifies the value to be returned in CLANGT as described */ /* above. */ /* N (input) INTEGER */ /* The order of the matrix A. N >= 0. When N = 0, CLANGT is */ /* set to zero. */ /* DL (input) COMPLEX array, dimension (N-1) */ /* The (n-1) sub-diagonal elements of A. */ /* D (input) COMPLEX array, dimension (N) */ /* The diagonal elements of A. */ /* DU (input) COMPLEX array, dimension (N-1) */ /* The (n-1) super-diagonal elements of A. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Parameter adjustments */ --du; --d__; --dl; /* Function Body */ if (*n <= 0) { anorm = 0.f; } else if (lsame_(norm, "M")) { /* Find max(abs(A(i,j))). */ anorm = c_abs(&d__[*n]); i__1 = *n - 1; for (i__ = 1; i__ <= i__1; ++i__) { /* Computing MAX */ r__1 = anorm, r__2 = c_abs(&dl[i__]); anorm = dmax(r__1,r__2); /* Computing MAX */ r__1 = anorm, r__2 = c_abs(&d__[i__]); anorm = dmax(r__1,r__2); /* Computing MAX */ r__1 = anorm, r__2 = c_abs(&du[i__]); anorm = dmax(r__1,r__2); /* L10: */ } } else if (lsame_(norm, "O") || *(unsigned char *) norm == '1') { /* Find norm1(A). */ if (*n == 1) { anorm = c_abs(&d__[1]); } else { /* Computing MAX */ r__1 = c_abs(&d__[1]) + c_abs(&dl[1]), r__2 = c_abs(&d__[*n]) + c_abs(&du[*n - 1]); anorm = dmax(r__1,r__2); i__1 = *n - 1; for (i__ = 2; i__ <= i__1; ++i__) { /* Computing MAX */ r__1 = anorm, r__2 = c_abs(&d__[i__]) + c_abs(&dl[i__]) + c_abs(&du[i__ - 1]); anorm = dmax(r__1,r__2); /* L20: */ } } } else if (lsame_(norm, "I")) { /* Find normI(A). */ if (*n == 1) { anorm = c_abs(&d__[1]); } else { /* Computing MAX */ r__1 = c_abs(&d__[1]) + c_abs(&du[1]), r__2 = c_abs(&d__[*n]) + c_abs(&dl[*n - 1]); anorm = dmax(r__1,r__2); i__1 = *n - 1; for (i__ = 2; i__ <= i__1; ++i__) { /* Computing MAX */ r__1 = anorm, r__2 = c_abs(&d__[i__]) + c_abs(&du[i__]) + c_abs(&dl[i__ - 1]); anorm = dmax(r__1,r__2); /* L30: */ } } } else if (lsame_(norm, "F") || lsame_(norm, "E")) { /* Find normF(A). */ scale = 0.f; sum = 1.f; classq_(n, &d__[1], &c__1, &scale, &sum); if (*n > 1) { i__1 = *n - 1; classq_(&i__1, &dl[1], &c__1, &scale, &sum); i__1 = *n - 1; classq_(&i__1, &du[1], &c__1, &scale, &sum); } anorm = scale * sqrt(sum); } ret_val = anorm; return ret_val; /* End of CLANGT */ } /* clangt_ */