#include "clapack.h" /* Subroutine */ int dlasdt_(integer *n, integer *lvl, integer *nd, integer * inode, integer *ndiml, integer *ndimr, integer *msub) { /* System generated locals */ integer i__1, i__2; /* Builtin functions */ double log(doublereal); /* Local variables */ integer i__, il, ir, maxn; doublereal temp; integer nlvl, llst, ncrnt; /* -- LAPACK auxiliary routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* DLASDT creates a tree of subproblems for bidiagonal divide and */ /* conquer. */ /* Arguments */ /* ========= */ /* N (input) INTEGER */ /* On entry, the number of diagonal elements of the */ /* bidiagonal matrix. */ /* LVL (output) INTEGER */ /* On exit, the number of levels on the computation tree. */ /* ND (output) INTEGER */ /* On exit, the number of nodes on the tree. */ /* INODE (output) INTEGER array, dimension ( N ) */ /* On exit, centers of subproblems. */ /* NDIML (output) INTEGER array, dimension ( N ) */ /* On exit, row dimensions of left children. */ /* NDIMR (output) INTEGER array, dimension ( N ) */ /* On exit, row dimensions of right children. */ /* MSUB (input) INTEGER. */ /* On entry, the maximum row dimension each subproblem at the */ /* bottom of the tree can be of. */ /* Further Details */ /* =============== */ /* Based on contributions by */ /* Ming Gu and Huan Ren, Computer Science Division, University of */ /* California at Berkeley, USA */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Find the number of levels on the tree. */ /* Parameter adjustments */ --ndimr; --ndiml; --inode; /* Function Body */ maxn = max(1,*n); temp = log((doublereal) maxn / (doublereal) (*msub + 1)) / log(2.); *lvl = (integer) temp + 1; i__ = *n / 2; inode[1] = i__ + 1; ndiml[1] = i__; ndimr[1] = *n - i__ - 1; il = 0; ir = 1; llst = 1; i__1 = *lvl - 1; for (nlvl = 1; nlvl <= i__1; ++nlvl) { /* Constructing the tree at (NLVL+1)-st level. The number of */ /* nodes created on this level is LLST * 2. */ i__2 = llst - 1; for (i__ = 0; i__ <= i__2; ++i__) { il += 2; ir += 2; ncrnt = llst + i__; ndiml[il] = ndiml[ncrnt] / 2; ndimr[il] = ndiml[ncrnt] - ndiml[il] - 1; inode[il] = inode[ncrnt] - ndimr[il] - 1; ndiml[ir] = ndimr[ncrnt] / 2; ndimr[ir] = ndimr[ncrnt] - ndiml[ir] - 1; inode[ir] = inode[ncrnt] + ndiml[ir] + 1; /* L10: */ } llst <<= 1; /* L20: */ } *nd = (llst << 1) - 1; return 0; /* End of DLASDT */ } /* dlasdt_ */