Update to 2.0.0 tree from current Fremantle build

[opencv] / 3rdparty / lapack / slae2.c

diff --git a/3rdparty/lapack/slae2.c b/3rdparty/lapack/slae2.c
new file mode 100644 (file)
index 0000000..ac73237
--- /dev/null
+++ b/3rdparty/lapack/slae2.c
@@ -0,0 +1,128 @@
+#include "clapack.h"
+
+/* Subroutine */ int slae2_(real *a, real *b, real *c__, real *rt1, real *rt2)
+{
+    /* System generated locals */
+    real r__1;
+
+    /* Builtin functions */
+    double sqrt(doublereal);
+
+    /* Local variables */
+    real ab, df, tb, sm, rt, adf, acmn, acmx;
+
+
+/*  -- LAPACK auxiliary routine (version 3.1) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  SLAE2  computes the eigenvalues of a 2-by-2 symmetric matrix */
+/*     [  A   B  ] */
+/*     [  B   C  ]. */
+/*  On return, RT1 is the eigenvalue of larger absolute value, and RT2 */
+/*  is the eigenvalue of smaller absolute value. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  A       (input) REAL */
+/*          The (1,1) element of the 2-by-2 matrix. */
+
+/*  B       (input) REAL */
+/*          The (1,2) and (2,1) elements of the 2-by-2 matrix. */
+
+/*  C       (input) REAL */
+/*          The (2,2) element of the 2-by-2 matrix. */
+
+/*  RT1     (output) REAL */
+/*          The eigenvalue of larger absolute value. */
+
+/*  RT2     (output) REAL */
+/*          The eigenvalue of smaller absolute value. */
+
+/*  Further Details */
+/*  =============== */
+
+/*  RT1 is accurate to a few ulps barring over/underflow. */
+
+/*  RT2 may be inaccurate if there is massive cancellation in the */
+/*  determinant A*C-B*B; higher precision or correctly rounded or */
+/*  correctly truncated arithmetic would be needed to compute RT2 */
+/*  accurately in all cases. */
+
+/*  Overflow is possible only if RT1 is within a factor of 5 of overflow. */
+/*  Underflow is harmless if the input data is 0 or exceeds */
+/*     underflow_threshold / macheps. */
+
+/* ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Compute the eigenvalues */
+
+    sm = *a + *c__;
+    df = *a - *c__;
+    adf = dabs(df);
+    tb = *b + *b;
+    ab = dabs(tb);
+    if (dabs(*a) > dabs(*c__)) {
+       acmx = *a;
+       acmn = *c__;
+    } else {
+       acmx = *c__;
+       acmn = *a;
+    }
+    if (adf > ab) {
+/* Computing 2nd power */
+       r__1 = ab / adf;
+       rt = adf * sqrt(r__1 * r__1 + 1.f);
+    } else if (adf < ab) {
+/* Computing 2nd power */
+       r__1 = adf / ab;
+       rt = ab * sqrt(r__1 * r__1 + 1.f);
+    } else {
+
+/*        Includes case AB=ADF=0 */
+
+       rt = ab * sqrt(2.f);
+    }
+    if (sm < 0.f) {
+       *rt1 = (sm - rt) * .5f;
+
+/*        Order of execution important. */
+/*        To get fully accurate smaller eigenvalue, */
+/*        next line needs to be executed in higher precision. */
+
+       *rt2 = acmx / *rt1 * acmn - *b / *rt1 * *b;
+    } else if (sm > 0.f) {
+       *rt1 = (sm + rt) * .5f;
+
+/*        Order of execution important. */
+/*        To get fully accurate smaller eigenvalue, */
+/*        next line needs to be executed in higher precision. */
+
+       *rt2 = acmx / *rt1 * acmn - *b / *rt1 * *b;
+    } else {
+
+/*        Includes case RT1 = RT2 = 0 */
+
+       *rt1 = rt * .5f;
+       *rt2 = rt * -.5f;
+    }
+    return 0;
+
+/*     End of SLAE2 */
+
+} /* slae2_ */