#include "blaswrap.h" #include "f2c.h" /* Subroutine */ int dlasdt_(integer *n, integer *lvl, integer *nd, integer * inode, integer *ndiml, integer *ndimr, integer *msub) { /* -- LAPACK auxiliary routine (version 3.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University June 30, 1999 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 ===================================================================== Find the number of levels on the tree. Parameter adjustments */ /* System generated locals */ integer i__1, i__2; /* Builtin functions */ double log(doublereal); /* Local variables */ static integer maxn; static doublereal temp; static integer nlvl, llst, i__, ncrnt, il, ir; --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_ */ .