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-//----------------------------------------------------------------------
-// File: kd_fix_rad_search.cpp
-// Programmer: Sunil Arya and David Mount
-// Description: Standard kd-tree fixed-radius kNN search
-// Last modified: 05/03/05 (Version 1.1)
-//----------------------------------------------------------------------
-// Copyright (c) 1997-2005 University of Maryland and Sunil Arya and
-// David Mount. All Rights Reserved.
-//
-// This software and related documentation is part of the Approximate
-// Nearest Neighbor Library (ANN). This software is provided under
-// the provisions of the Lesser GNU Public License (LGPL). See the
-// file ../ReadMe.txt for further information.
-//
-// The University of Maryland (U.M.) and the authors make no
-// representations about the suitability or fitness of this software for
-// any purpose. It is provided "as is" without express or implied
-// warranty.
-//----------------------------------------------------------------------
-// History:
-// Revision 1.1 05/03/05
-// Initial release
-//----------------------------------------------------------------------
-
-#include "kd_fix_rad_search.h" // kd fixed-radius search decls
-
-namespace geom_bt {
-//----------------------------------------------------------------------
-// Approximate fixed-radius k nearest neighbor search
-// The squared radius is provided, and this procedure finds the
-// k nearest neighbors within the radius, and returns the total
-// number of points lying within the radius.
-//
-// The method used for searching the kd-tree is a variation of the
-// nearest neighbor search used in kd_search.cpp, except that the
-// radius of the search ball is known. We refer the reader to that
-// file for the explanation of the recursive search procedure.
-//----------------------------------------------------------------------
-
-//----------------------------------------------------------------------
-// To keep argument lists short, a number of global variables
-// are maintained which are common to all the recursive calls.
-// These are given below.
-//----------------------------------------------------------------------
-
-int ANNkdFRDim; // dimension of space
-ANNpoint ANNkdFRQ; // query point
-ANNdist ANNkdFRSqRad; // squared radius search bound
-double ANNkdFRMaxErr; // max tolerable squared error
-ANNpointArray ANNkdFRPts; // the points
-ANNmin_k* ANNkdFRPointMK; // set of k closest points
-int ANNkdFRPtsVisited; // total points visited
-int ANNkdFRPtsInRange; // number of points in the range
-
-//----------------------------------------------------------------------
-// annkFRSearch - fixed radius search for k nearest neighbors
-//----------------------------------------------------------------------
-
-int ANNkd_tree::annkFRSearch(
- ANNpoint q, // the query point
- ANNdist sqRad, // squared radius search bound
- int k, // number of near neighbors to return
- ANNidxArray nn_idx, // nearest neighbor indices (returned)
- ANNdistArray dd, // the approximate nearest neighbor
- double eps) // the error bound
-{
- ANNkdFRDim = dim; // copy arguments to static equivs
- ANNkdFRQ = q;
- ANNkdFRSqRad = sqRad;
- ANNkdFRPts = pts;
- ANNkdFRPtsVisited = 0; // initialize count of points visited
- ANNkdFRPtsInRange = 0; // ...and points in the range
-
- ANNkdFRMaxErr = ANN_POW(1.0 + eps);
- ANN_FLOP(2) // increment floating op count
-
- ANNkdFRPointMK = new ANNmin_k(k); // create set for closest k points
- // search starting at the root
- root->ann_FR_search(annBoxDistance(q, bnd_box_lo, bnd_box_hi, dim));
-
- for (int i = 0; i < k; i++) { // extract the k-th closest points
- if (dd != NULL)
- dd[i] = ANNkdFRPointMK->ith_smallest_key(i);
- if (nn_idx != NULL)
- nn_idx[i] = ANNkdFRPointMK->ith_smallest_info(i);
- }
-
- delete ANNkdFRPointMK; // deallocate closest point set
- return ANNkdFRPtsInRange; // return final point count
-}
-
-//----------------------------------------------------------------------
-// kd_split::ann_FR_search - search a splitting node
-// Note: This routine is similar in structure to the standard kNN
-// search. It visits the subtree that is closer to the query point
-// first. For fixed-radius search, there is no benefit in visiting
-// one subtree before the other, but we maintain the same basic
-// code structure for the sake of uniformity.
-//----------------------------------------------------------------------
-
-void ANNkd_split::ann_FR_search(ANNdist box_dist)
-{
- // check dist calc term condition
- if (ANNmaxPtsVisited != 0 && ANNkdFRPtsVisited > ANNmaxPtsVisited) return;
-
- // distance to cutting plane
- ANNcoord cut_diff = ANNkdFRQ[cut_dim] - cut_val;
-
- if (cut_diff < 0) { // left of cutting plane
- child[ANN_LO]->ann_FR_search(box_dist);// visit closer child first
-
- ANNcoord box_diff = cd_bnds[ANN_LO] - ANNkdFRQ[cut_dim];
- if (box_diff < 0) // within bounds - ignore
- box_diff = 0;
- // distance to further box
- box_dist = (ANNdist) ANN_SUM(box_dist,
- ANN_DIFF(ANN_POW(box_diff), ANN_POW(cut_diff)));
-
- // visit further child if in range
- if (box_dist * ANNkdFRMaxErr <= ANNkdFRSqRad)
- child[ANN_HI]->ann_FR_search(box_dist);
-
- }
- else { // right of cutting plane
- child[ANN_HI]->ann_FR_search(box_dist);// visit closer child first
-
- ANNcoord box_diff = ANNkdFRQ[cut_dim] - cd_bnds[ANN_HI];
- if (box_diff < 0) // within bounds - ignore
- box_diff = 0;
- // distance to further box
- box_dist = (ANNdist) ANN_SUM(box_dist,
- ANN_DIFF(ANN_POW(box_diff), ANN_POW(cut_diff)));
-
- // visit further child if close enough
- if (box_dist * ANNkdFRMaxErr <= ANNkdFRSqRad)
- child[ANN_LO]->ann_FR_search(box_dist);
-
- }
- ANN_FLOP(13) // increment floating ops
- ANN_SPL(1) // one more splitting node visited
-}
-
-//----------------------------------------------------------------------
-// kd_leaf::ann_FR_search - search points in a leaf node
-// Note: The unreadability of this code is the result of
-// some fine tuning to replace indexing by pointer operations.
-//----------------------------------------------------------------------
-
-void ANNkd_leaf::ann_FR_search(ANNdist box_dist)
-{
- register ANNdist dist; // distance to data point
- register ANNcoord* pp; // data coordinate pointer
- register ANNcoord* qq; // query coordinate pointer
- register ANNcoord t;
- register int d;
-
- for (int i = 0; i < n_pts; i++) { // check points in bucket
-
- pp = ANNkdFRPts[bkt[i]]; // first coord of next data point
- qq = ANNkdFRQ; // first coord of query point
- dist = 0;
-
- for(d = 0; d < ANNkdFRDim; d++) {
- ANN_COORD(1) // one more coordinate hit
- ANN_FLOP(5) // increment floating ops
-
- t = *(qq++) - *(pp++); // compute length and adv coordinate
- // exceeds dist to k-th smallest?
- if( (dist = ANN_SUM(dist, ANN_POW(t))) > ANNkdFRSqRad) {
- break;
- }
- }
-
- if (d >= ANNkdFRDim && // among the k best?
- (ANN_ALLOW_SELF_MATCH || dist!=0)) { // and no self-match problem
- // add it to the list
- ANNkdFRPointMK->insert(dist, bkt[i]);
- ANNkdFRPtsInRange++; // increment point count
- }
- }
- ANN_LEAF(1) // one more leaf node visited
- ANN_PTS(n_pts) // increment points visited
- ANNkdFRPtsVisited += n_pts; // increment number of points visited
-}
-}