Update to 2.0.0 tree from current Fremantle build

[opencv] / 3rdparty / lapack / dlanst.c

diff --git a/3rdparty/lapack/dlanst.c b/3rdparty/lapack/dlanst.c
new file mode 100644 (file)
index 0000000..6f81526
--- /dev/null
+++ b/3rdparty/lapack/dlanst.c
@@ -0,0 +1,153 @@
+#include "clapack.h"
+
+/* Table of constant values */
+
+static integer c__1 = 1;
+
+doublereal dlanst_(char *norm, integer *n, doublereal *d__, doublereal *e)
+{
+    /* System generated locals */
+    integer i__1;
+    doublereal ret_val, d__1, d__2, d__3, d__4, d__5;
+
+    /* Builtin functions */
+    double sqrt(doublereal);
+
+    /* Local variables */
+    integer i__;
+    doublereal sum, scale;
+    extern logical lsame_(char *, char *);
+    doublereal anorm;
+    extern /* Subroutine */ int dlassq_(integer *, doublereal *, integer *, 
+           doublereal *, doublereal *);
+
+
+/*  -- LAPACK auxiliary routine (version 3.1) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  DLANST  returns the value of the one norm,  or the Frobenius norm, or */
+/*  the  infinity norm,  or the  element of  largest absolute value  of a */
+/*  real symmetric tridiagonal matrix A. */
+
+/*  Description */
+/*  =========== */
+
+/*  DLANST returns the value */
+
+/*     DLANST = ( 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 DLANST as described */
+/*          above. */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix A.  N >= 0.  When N = 0, DLANST is */
+/*          set to zero. */
+
+/*  D       (input) DOUBLE PRECISION array, dimension (N) */
+/*          The diagonal elements of A. */
+
+/*  E       (input) DOUBLE PRECISION array, dimension (N-1) */
+/*          The (n-1) sub-diagonal or super-diagonal elements of A. */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+    /* Parameter adjustments */
+    --e;
+    --d__;
+
+    /* Function Body */
+    if (*n <= 0) {
+       anorm = 0.;
+    } else if (lsame_(norm, "M")) {
+
+/*        Find max(abs(A(i,j))). */
+
+       anorm = (d__1 = d__[*n], abs(d__1));
+       i__1 = *n - 1;
+       for (i__ = 1; i__ <= i__1; ++i__) {
+/* Computing MAX */
+           d__2 = anorm, d__3 = (d__1 = d__[i__], abs(d__1));
+           anorm = max(d__2,d__3);
+/* Computing MAX */
+           d__2 = anorm, d__3 = (d__1 = e[i__], abs(d__1));
+           anorm = max(d__2,d__3);
+/* L10: */
+       }
+    } else if (lsame_(norm, "O") || *(unsigned char *)
+           norm == '1' || lsame_(norm, "I")) {
+
+/*        Find norm1(A). */
+
+       if (*n == 1) {
+           anorm = abs(d__[1]);
+       } else {
+/* Computing MAX */
+           d__3 = abs(d__[1]) + abs(e[1]), d__4 = (d__1 = e[*n - 1], abs(
+                   d__1)) + (d__2 = d__[*n], abs(d__2));
+           anorm = max(d__3,d__4);
+           i__1 = *n - 1;
+           for (i__ = 2; i__ <= i__1; ++i__) {
+/* Computing MAX */
+               d__4 = anorm, d__5 = (d__1 = d__[i__], abs(d__1)) + (d__2 = e[
+                       i__], abs(d__2)) + (d__3 = e[i__ - 1], abs(d__3));
+               anorm = max(d__4,d__5);
+/* L20: */
+           }
+       }
+    } else if (lsame_(norm, "F") || lsame_(norm, "E")) {
+
+/*        Find normF(A). */
+
+       scale = 0.;
+       sum = 1.;
+       if (*n > 1) {
+           i__1 = *n - 1;
+           dlassq_(&i__1, &e[1], &c__1, &scale, &sum);
+           sum *= 2;
+       }
+       dlassq_(n, &d__[1], &c__1, &scale, &sum);
+       anorm = scale * sqrt(sum);
+    }
+
+    ret_val = anorm;
+    return ret_val;
+
+/*     End of DLANST */
+
+} /* dlanst_ */