-/* nj.c 2009-07-17 */
+/* nj.c 2010-04-21 */
-/* Copyright 2006-2009 Emmanuel Paradis
+/* Copyright 2006-2010 Emmanuel Paradis
/* This file is part of the R-package `ape'. */
/* See the file ../COPYING for licensing issues. */
#include <R.h>
#define DINDEX(i, j) n*(i - 1) - i*(i - 1)/2 + j - i - 1
+/* works if i < j strictly, and i = 1, ...;
+ see give_index() below */
int give_index(int i, int j, int n)
{
5 3 7 10 12
6 4 8 11 13 14
- so that we sum the values of the ith column-1st loop-and those of
- (i - 1)th row (labelled 'i')-2nd loop */
+ so that we sum the values of the ith column--1st loop--and those of
+ (i - 1)th row (labelled 'i')--2nd loop */
double sum = 0;
int j, start, end;
void nj(double *D, int *N, int *edge1, int *edge2, double *edge_length)
{
- double *S, Sdist, Ndist, *new_dist, A, B, smallest_S, *DI, d_i, x, y;
+ double *S, Sdist, Ndist, *new_dist, A, B, smallest_S, x, y;
int n, i, j, k, ij, smallest, OTU1, OTU2, cur_nod, o_l, *otu_label;
S = &Sdist;
new_dist = &Ndist;
otu_label = &o_l;
- DI = &d_i;
n = *N;
cur_nod = 2*n - 2;
- S = (double*)R_alloc(n, sizeof(double));
+ S = (double*)R_alloc(n + 1, sizeof(double));
new_dist = (double*)R_alloc(n*(n - 1)/2, sizeof(double));
- otu_label = (int*)R_alloc(n, sizeof(int));
- DI = (double*)R_alloc(n - 2, sizeof(double));
+ otu_label = (int*)R_alloc(n + 1, sizeof(int));
+
+ for (i = 1; i <= n; i++) otu_label[i] = i; /* otu_label[0] is not used */
- for (i = 0; i < n; i++) otu_label[i] = i + 1;
k = 0;
while (n > 3) {
- for (i = 0; i < n; i++)
- S[i] = sum_dist_to_i(n, D, i + 1);
+ for (i = 1; i <= n; i++)
+ S[i] = sum_dist_to_i(n, D, i); /* S[0] is not used */
ij = 0;
smallest_S = 1e50;
B = n - 2;
- for (i = 0; i < n - 1; i++) {
- for (j = i + 1; j < n; j++) {
- A = D[ij] - (S[i] + S[j])/B;
+ for (i = 1; i < n; i++) {
+ for (j = i + 1; j <= n; j++) {
+ A = B*D[ij] - S[i] - S[j];
if (A < smallest_S) {
- OTU1 = i + 1;
- OTU2 = j + 1;
+ OTU1 = i;
+ OTU2 = j;
smallest_S = A;
smallest = ij;
}
}
}
- edge2[k] = otu_label[OTU1 - 1];
- edge2[k + 1] = otu_label[OTU2 - 1];
+ edge2[k] = otu_label[OTU1];
+ edge2[k + 1] = otu_label[OTU2];
edge1[k] = edge1[k + 1] = cur_nod;
/* get the distances between all OTUs but the 2 selected ones
and the latter:
a) get the sum for both
b) compute the distances for the new OTU */
- A = B = ij = 0;
+
+ A = D[smallest];
+ ij = 0;
for (i = 1; i <= n; i++) {
if (i == OTU1 || i == OTU2) continue;
x = D[give_index(i, OTU1, n)]; /* dist between OTU1 and i */
y = D[give_index(i, OTU2, n)]; /* dist between OTU2 and i */
- new_dist[ij] = (x + y)/2;
- A += x;
- B += y;
+ new_dist[ij] = (x + y - A)/2;
ij++;
}
/* compute the branch lengths */
- A /= n - 2;
- B /= n - 2;
- edge_length[k] = (D[smallest] + A - B)/2;
- edge_length[k + 1] = (D[smallest] + B - A)/2;
- DI[cur_nod - *N - 1] = D[smallest];
-
- /* update before the next loop */
- if (OTU1 > OTU2) { /* make sure that OTU1 < OTU2 */
- i = OTU1;
- OTU1 = OTU2;
- OTU2 = i;
- }
+ B = (S[OTU1] - S[OTU2])/B; /* don't need B anymore */
+ edge_length[k] = (A + B)/2;
+ edge_length[k + 1] = (A - B)/2;
+
+ /* update before the next loop
+ (we are sure that OTU1 < OTU2) */
if (OTU1 != 1)
- for (i = OTU1 - 1; i > 0; i--)
+ for (i = OTU1; i > 1; i--)
otu_label[i] = otu_label[i - 1];
if (OTU2 != n)
- for (i = OTU2; i <= n; i++)
- otu_label[i - 1] = otu_label[i];
- otu_label[0] = cur_nod;
+ for (i = OTU2; i < n; i++)
+ otu_label[i] = otu_label[i + 1];
+ otu_label[1] = cur_nod;
for (i = 1; i < n; i++) {
if (i == OTU1 || i == OTU2) continue;
for (i = 0; i < 3; i++) {
edge1[*N*2 - 4 - i] = cur_nod;
- edge2[*N*2 - 4 - i] = otu_label[i];
+ edge2[*N*2 - 4 - i] = otu_label[i + 1];
}
edge_length[*N*2 - 4] = (D[0] + D[1] - D[2])/2;
edge_length[*N*2 - 5] = (D[0] + D[2] - D[1])/2;
edge_length[*N*2 - 6] = (D[2] + D[1] - D[0])/2;
-
- for (i = 0; i < *N*2 - 3; i++) {
- if (edge2[i] <= *N) continue;
- /* In case there are zero branch lengths: */
- if (DI[edge2[i] - *N - 1] == 0) continue;
- edge_length[i] -= DI[edge2[i] - *N - 1]/2;
- }
}