| 1 | // =============================================================== // |
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| 2 | // // |
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| 3 | // File : NJ.cxx // |
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| 4 | // Purpose : // |
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| 5 | // // |
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| 6 | // Institute of Microbiology (Technical University Munich) // |
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| 7 | // http://www.arb-home.de/ // |
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| 8 | // // |
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| 9 | // =============================================================== // |
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| 10 | |
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| 11 | #include "NJ.hxx" |
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| 12 | #include <neighbourjoin.hxx> |
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| 13 | #include <TreeNode.h> |
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| 14 | #include <arb_diff.h> |
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| 15 | #include <arb_progress.h> |
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| 16 | |
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| 17 | PH_NEIGHBOUR_DIST::PH_NEIGHBOUR_DIST() { |
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| 18 | memset((char *)this, 0, sizeof(PH_NEIGHBOUR_DIST)); |
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| 19 | } |
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| 20 | |
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| 21 | |
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| 22 | void PH_NEIGHBOURJOINING::remove_taxa_from_dist_list(long i) { // O(n/2) |
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| 23 | long a, j; |
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| 24 | PH_NEIGHBOUR_DIST *nd; |
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| 25 | for (a=0; a<swap_size; a++) { |
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| 26 | j = swap_tab[a]; |
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| 27 | if (i==j) continue; |
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| 28 | if (j<i) { |
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| 29 | nd = &(dist_matrix[i][j]); |
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| 30 | } |
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| 31 | else { |
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| 32 | nd = &(dist_matrix[j][i]); |
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| 33 | } |
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| 34 | nd->remove(); |
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| 35 | net_divergence[j] -= nd->val; // corr net divergence |
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| 36 | } |
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| 37 | } |
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| 38 | void PH_NEIGHBOURJOINING::add_taxa_to_dist_list(long i) { // O(n/2) |
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| 39 | long a; |
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| 40 | long pos, j; |
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| 41 | PH_NEIGHBOUR_DIST *nd; |
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| 42 | AP_FLOAT my_nd = 0.0; |
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| 43 | for (a=0; a<swap_size; a++) { |
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| 44 | j = swap_tab[a]; |
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| 45 | if (i==j) continue; |
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| 46 | if (j<i) { |
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| 47 | nd = &(dist_matrix[i][j]); |
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| 48 | } |
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| 49 | else { |
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| 50 | nd = &(dist_matrix[j][i]); |
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| 51 | } |
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| 52 | ph_assert(!nd->previous); |
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| 53 | pos = (int)(nd->val*dist_list_corr); |
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| 54 | if (pos >= dist_list_size) { |
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| 55 | pos = dist_list_size-1; |
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| 56 | } else if (pos<0) |
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| 57 | pos = 0; |
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| 58 | nd->add(&(dist_list[pos])); |
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| 59 | |
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| 60 | net_divergence[j] += nd->val; // corr net divergence |
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| 61 | my_nd += nd->val; |
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| 62 | } |
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| 63 | net_divergence[i] = my_nd; |
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| 64 | } |
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| 65 | |
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| 66 | AP_FLOAT PH_NEIGHBOURJOINING::get_max_net_divergence() { // O(n/2) |
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| 67 | long a, i; |
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| 68 | AP_FLOAT max = 0.0; |
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| 69 | for (a=0; a<swap_size; a++) { |
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| 70 | i = swap_tab[a]; |
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| 71 | if (net_divergence[i] > max) max = net_divergence[i]; |
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| 72 | } |
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| 73 | return max; |
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| 74 | } |
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| 75 | |
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| 76 | void PH_NEIGHBOURJOINING::remove_taxa_from_swap_tab(long i) { // O(n/2) |
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| 77 | long a; |
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| 78 | long *source, *dest; |
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| 79 | source = dest = swap_tab; |
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| 80 | for (a=0; a<swap_size; a++) { |
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| 81 | if (swap_tab[a] == i) { |
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| 82 | source++; |
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| 83 | } |
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| 84 | else { |
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| 85 | *(dest++) = *(source++); |
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| 86 | } |
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| 87 | } |
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| 88 | swap_size --; |
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| 89 | } |
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| 90 | |
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| 91 | PH_NEIGHBOURJOINING::PH_NEIGHBOURJOINING(const AP_smatrix& smatrix) { |
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| 92 | size = smatrix.size(); |
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| 93 | |
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| 94 | // init swap tab |
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| 95 | swap_size = size; |
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| 96 | swap_tab = new long[size]; |
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| 97 | for (long i=0; i<swap_size; i++) swap_tab[i] = i; // LOOP_VECTORIZED=2[!<5] // tested down to gcc 5.5.0 (fails on 4.9.2) |
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| 98 | |
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| 99 | ARB_calloc(net_divergence, size); |
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| 100 | |
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| 101 | dist_list_size = size; // hope to be the best |
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| 102 | dist_list = new PH_NEIGHBOUR_DIST[dist_list_size]; // the roots, no elems |
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| 103 | dist_list_corr = (dist_list_size-2.0)/smatrix.get_max_value(); |
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| 104 | |
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| 105 | dist_matrix = new PH_NEIGHBOUR_DIST*[size]; |
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| 106 | for (long i=0; i<size; i++) { |
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| 107 | dist_matrix[i] = new PH_NEIGHBOUR_DIST[i]; |
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| 108 | for (long j=0; j<i; j++) { |
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| 109 | dist_matrix[i][j].val = smatrix.fast_get(i, j); |
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| 110 | dist_matrix[i][j].i = i; |
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| 111 | dist_matrix[i][j].j = j; |
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| 112 | } |
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| 113 | } |
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| 114 | for (long i=0; i<size; i++) { |
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| 115 | swap_size = i; // to calculate the correct net divergence.. |
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| 116 | add_taxa_to_dist_list(i); // ..add to dist list and add n.d. |
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| 117 | } |
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| 118 | swap_size = size; |
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| 119 | } |
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| 120 | |
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| 121 | PH_NEIGHBOURJOINING::~PH_NEIGHBOURJOINING() { |
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| 122 | for (long i=0; i<size; i++) delete [] dist_matrix[i]; |
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| 123 | delete [] dist_matrix; |
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| 124 | delete [] dist_list; |
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| 125 | free(net_divergence); |
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| 126 | delete [] swap_tab; |
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| 127 | } |
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| 128 | |
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| 129 | AP_FLOAT PH_NEIGHBOURJOINING::get_min_ij(long& mini, long& minj) { // O(n*n/speedup) |
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| 130 | // returns minval (only used by test inspection) |
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| 131 | |
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| 132 | AP_FLOAT maxri = get_max_net_divergence(); // O(n/2) |
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| 133 | PH_NEIGHBOUR_DIST *dl; |
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| 134 | long stat = 0; |
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| 135 | AP_FLOAT x; |
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| 136 | AP_FLOAT minval; |
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| 137 | minval = 100000.0; |
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| 138 | AP_FLOAT N_1 = 1.0/(swap_size-2.0); |
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| 139 | maxri = maxri*2.0*N_1; |
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| 140 | long pos; |
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| 141 | |
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| 142 | get_last_ij(mini, minj); |
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| 143 | |
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| 144 | for (pos=0; pos<dist_list_size; pos++) { |
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| 145 | if (minval < pos/dist_list_corr - maxri) break; |
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| 146 | // no way to get a better minimum |
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| 147 | dl = dist_list[pos].next; // first entry does not contain information |
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| 148 | for (; dl; dl=dl->next) { |
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| 149 | x = (net_divergence[dl->i] + net_divergence[dl->j])*N_1; |
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| 150 | if (dl->val-x<minval) { |
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| 151 | minval = dl->val -x; |
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| 152 | minj = dl->i; |
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| 153 | mini = dl->j; |
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| 154 | } |
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| 155 | stat++; |
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| 156 | } |
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| 157 | } |
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| 158 | return minval; |
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| 159 | } |
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| 160 | |
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| 161 | void PH_NEIGHBOURJOINING::join_nodes(long i, long j, AP_FLOAT &leftl, AP_FLOAT& rightl) { |
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| 162 | PH_NEIGHBOUR_DIST **d = dist_matrix; |
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| 163 | AP_FLOAT dji; |
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| 164 | |
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| 165 | AP_FLOAT dist = get_dist(i, j); |
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| 166 | |
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| 167 | leftl = dist*.5 + (net_divergence[i] - net_divergence[j])*.5/ |
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| 168 | (swap_size - 2.0); |
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| 169 | rightl = dist - leftl; |
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| 170 | |
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| 171 | remove_taxa_from_dist_list(j); |
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| 172 | remove_taxa_from_swap_tab(j); |
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| 173 | remove_taxa_from_dist_list(i); |
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| 174 | |
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| 175 | long a, k; |
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| 176 | dji = d[j][i].val; |
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| 177 | for (a=0; a<swap_size; a++) { |
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| 178 | k = swap_tab[a]; |
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| 179 | if (k==i) continue; // k == j not possible |
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| 180 | if (k>i) { |
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| 181 | if (k>j) { |
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| 182 | d[k][i].val = .5*(d[k][i].val + d[k][j].val - dji); |
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| 183 | } |
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| 184 | else { |
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| 185 | d[k][i].val = .5*(d[k][i].val + d[j][k].val - dji); |
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| 186 | } |
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| 187 | } |
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| 188 | else { |
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| 189 | d[i][k].val = 0.5 * (d[i][k].val + d[j][k].val - dji); |
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| 190 | } |
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| 191 | } |
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| 192 | add_taxa_to_dist_list(i); |
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| 193 | } |
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| 194 | |
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| 195 | void PH_NEIGHBOURJOINING::get_last_ij(long& i, long& j) { |
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| 196 | i = swap_tab[0]; |
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| 197 | j = swap_tab[1]; |
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| 198 | } |
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| 199 | |
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| 200 | AP_FLOAT PH_NEIGHBOURJOINING::get_dist(long i, long j) { |
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| 201 | return dist_matrix[j][i].val; |
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| 202 | } |
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| 203 | |
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| 204 | TreeNode *neighbourjoining(const char *const *names, const AP_smatrix& smatrix, TreeRoot *troot, bool *aborted_flag) { // @@@ pass 'names' as ConstStrArray? |
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| 205 | // structure_size >= sizeof(TreeNode); |
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| 206 | // lower triangular matrix |
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| 207 | // size: size of matrix |
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| 208 | |
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| 209 | const size_t msize = smatrix.size(); |
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| 210 | |
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| 211 | // assuming algorithm ~ O(N^3) with speedup because N decrements with each join: |
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| 212 | const size_t steps = sum_of_triangular_numbers(msize); // keep sync with ../../DIST/DI_matr.cxx@NJsteps |
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| 213 | |
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| 214 | arb_progress progress("neighbourjoining tree", steps); |
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| 215 | |
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| 216 | PH_NEIGHBOURJOINING nj(smatrix); |
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| 217 | TreeNode **nodes = ARB_calloc<TreeNode*>(msize); |
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| 218 | |
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| 219 | for (size_t i=0; i<msize; i++) { |
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| 220 | nodes[i] = troot->makeNode(); |
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| 221 | nodes[i]->name = strdup(names[i]); |
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| 222 | nodes[i]->markAsLeaf(); |
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| 223 | } |
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| 224 | |
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| 225 | size_t rest_size = msize; |
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| 226 | for (size_t i=2; i<msize && !progress.aborted(); i++) { |
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| 227 | long a, b; |
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| 228 | nj.get_min_ij(a, b); |
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| 229 | |
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| 230 | AP_FLOAT ll, rl; |
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| 231 | nj.join_nodes(a, b, ll, rl); |
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| 232 | |
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| 233 | TreeNode *father = troot->makeNode(); |
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| 234 | father->leftson = nodes[a]; |
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| 235 | father->rightson = nodes[b]; |
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| 236 | father->leftlen = ll; |
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| 237 | father->rightlen = rl; |
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| 238 | nodes[a]->father = father; |
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| 239 | nodes[b]->father = father; |
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| 240 | nodes[a] = father; |
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| 241 | |
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| 242 | progress.inc_by(triangular_number(rest_size)); |
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| 243 | --rest_size; |
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| 244 | } |
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| 245 | |
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| 246 | TreeNode *father = NULp; |
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| 247 | if (progress.aborted()) { |
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| 248 | if (aborted_flag) *aborted_flag = true; |
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| 249 | } |
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| 250 | else { |
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| 251 | long a, b; |
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| 252 | nj.get_last_ij(a, b); |
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| 253 | |
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| 254 | AP_FLOAT dist = nj.get_dist(a, b); |
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| 255 | |
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| 256 | AP_FLOAT ll = dist*0.5; |
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| 257 | AP_FLOAT rl = dist*0.5; |
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| 258 | |
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| 259 | father = troot->makeNode(); |
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| 260 | |
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| 261 | father->leftson = nodes[a]; |
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| 262 | father->rightson = nodes[b]; |
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| 263 | |
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| 264 | father->leftlen = ll; |
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| 265 | father->rightlen = rl; |
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| 266 | |
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| 267 | nodes[a]->father = father; |
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| 268 | nodes[b]->father = father; |
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| 269 | |
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| 270 | free(nodes); |
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| 271 | |
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| 272 | father->get_tree_root()->change_root(NULp, father); |
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| 273 | } |
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| 274 | |
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| 275 | // progress.dump(); |
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| 276 | progress.done(); // some steps are missing (e.g. 2nd loop starts at '2') |
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| 277 | |
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| 278 | return father; |
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| 279 | } |
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| 280 | |
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| 281 | // -------------------------------------------------------------------------------- |
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| 282 | |
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| 283 | #ifdef UNIT_TESTS |
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| 284 | #ifndef TEST_UNIT_H |
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| 285 | #include <test_unit.h> |
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| 286 | #endif |
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| 287 | |
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| 288 | static const AP_FLOAT EPSILON = 0.0001; |
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| 289 | |
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| 290 | static arb_test::match_expectation min_ij_equals(PH_NEIGHBOURJOINING& nj, long expected_i, long expected_j, AP_FLOAT expected_minval) { |
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| 291 | using namespace arb_test; |
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| 292 | expectation_group expected; |
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| 293 | |
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| 294 | long i, j; |
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| 295 | AP_FLOAT minval = nj.get_min_ij(i, j); |
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| 296 | |
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| 297 | expected.add(that(i).is_equal_to(expected_i)); |
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| 298 | expected.add(that(j).is_equal_to(expected_j)); |
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| 299 | expected.add(that(minval).fulfills(epsilon_similar(EPSILON), expected_minval)); |
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| 300 | |
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| 301 | return all().ofgroup(expected); |
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| 302 | } |
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| 303 | |
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| 304 | #define TEST_EXPECT_MIN_IJ(nj,i,j,minval) TEST_EXPECTATION(min_ij_equals(nj,i,j,minval)) |
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| 305 | |
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| 306 | void TEST_neighbourjoining() { |
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| 307 | const size_t SIZE = 4; |
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| 308 | |
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| 309 | #define TEST_FORWARD_ORDER // @@@ changing the order of nodes here changes the resulting trees |
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| 310 | // i do not understand, if that means there is sth wrong or not.. |
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| 311 | |
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| 312 | #if defined(TEST_FORWARD_ORDER) |
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| 313 | const char *names[SIZE] = { "A", "B", "C", "D"}; |
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| 314 | enum { A, B, C, D }; |
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| 315 | #else // !defined(TEST_FORWARD_ORDER) |
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| 316 | const char *names[SIZE] = { "D", "C", "B", "A"}; |
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| 317 | enum { D, C, B, A }; |
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| 318 | #endif |
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| 319 | |
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| 320 | for (int test = 1; test <= 2; ++test) { |
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| 321 | AP_smatrix sym_matrix(SIZE); |
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| 322 | |
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| 323 | // Note: values used here are distances |
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| 324 | for (size_t i = 0; i < SIZE; ++i) sym_matrix.set(i, i, 0.0); |
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| 325 | |
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| 326 | sym_matrix.set(A, B, 0.0765); sym_matrix.set(A, C, 0.1619); sym_matrix.set(A, D, 0.2266); |
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| 327 | sym_matrix.set(B, C, 0.1278); sym_matrix.set(B, D, 0.2061); |
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| 328 | |
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| 329 | switch (test) { |
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| 330 | case 1: sym_matrix.set(C, D, 0.1646); break; |
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| 331 | case 2: sym_matrix.set(C, D, 0.30); break; |
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| 332 | default: arb_assert(0); break; |
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| 333 | } |
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| 334 | |
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| 335 | // check net_divergence values: |
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| 336 | { |
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| 337 | PH_NEIGHBOURJOINING nj(sym_matrix); |
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| 338 | |
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| 339 | TEST_EXPECT_SIMILAR(nj.get_net_divergence(A), 0.4650, EPSILON); |
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| 340 | TEST_EXPECT_SIMILAR(nj.get_net_divergence(B), 0.4104, EPSILON); |
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| 341 | switch (test) { |
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| 342 | case 1: |
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| 343 | TEST_EXPECT_SIMILAR(nj.get_net_divergence(C), 0.4543, EPSILON); |
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| 344 | TEST_EXPECT_SIMILAR(nj.get_net_divergence(D), 0.5973, EPSILON); |
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| 345 | |
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| 346 | #define EXPECTED_MIN_IJ -0.361200 |
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| 347 | #if defined(TEST_FORWARD_ORDER) |
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| 348 | TEST_EXPECT_MIN_IJ(nj, A, B, EXPECTED_MIN_IJ); |
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| 349 | #else // !defined(TEST_FORWARD_ORDER) |
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| 350 | TEST_EXPECT_MIN_IJ(nj, D, C, EXPECTED_MIN_IJ); |
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| 351 | #endif |
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| 352 | #undef EXPECTED_MIN_IJ |
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| 353 | break; |
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| 354 | case 2: |
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| 355 | TEST_EXPECT_SIMILAR(nj.get_net_divergence(C), 0.5897, EPSILON); |
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| 356 | TEST_EXPECT_SIMILAR(nj.get_net_divergence(D), 0.7327, EPSILON); |
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| 357 | |
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| 358 | #define EXPECTED_MIN_IJ -0.372250 |
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| 359 | #if defined(TEST_FORWARD_ORDER) |
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| 360 | #if defined(ARB_64) |
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| 361 | TEST_EXPECT_MIN_IJ(nj, B, C, EXPECTED_MIN_IJ); |
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| 362 | #else // !defined(ARB_64) |
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| 363 | TEST_EXPECT_MIN_IJ(nj, A, D, EXPECTED_MIN_IJ); // @@@ similar to 64-bit w/o TEST_FORWARD_ORDER |
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| 364 | #endif |
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| 365 | #else // !defined(TEST_FORWARD_ORDER) |
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| 366 | TEST_EXPECT_MIN_IJ(nj, D, A, EXPECTED_MIN_IJ); // @@@ no differences between 32-/64-bit version w/o TEST_FORWARD_ORDER |
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| 367 | #endif |
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| 368 | #undef EXPECTED_MIN_IJ |
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| 369 | break; |
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| 370 | default: arb_assert(0); break; |
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| 371 | } |
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| 372 | |
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| 373 | } |
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| 374 | |
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| 375 | TreeNode *tree = neighbourjoining(names, sym_matrix, new SimpleRoot, NULp); |
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| 376 | |
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| 377 | switch (test) { |
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| 378 | #if defined(TEST_FORWARD_ORDER) |
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| 379 | #if defined(ARB_64) |
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| 380 | case 1: TEST_EXPECT_NEWICK(nSIMPLE, tree, "(((A,B),C),D);"); break; |
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| 381 | case 2: TEST_EXPECT_NEWICK(nSIMPLE, tree, "((A,(B,C)),D);"); break; |
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| 382 | #else // !defined(ARB_64) |
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| 383 | // @@@ 32bit version behaves different |
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| 384 | case 1: TEST_EXPECT_NEWICK(nSIMPLE, tree, "(((A,B),D),C);"); break; |
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| 385 | case 2: TEST_EXPECT_NEWICK(nSIMPLE, tree, "(((A,D),B),C);"); break; // similar to 64-bit w/o TEST_FORWARD_ORDER |
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| 386 | #endif |
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| 387 | #else // !defined(TEST_FORWARD_ORDER) |
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| 388 | // @@@ no differences between 32-/64-bit version w/o TEST_FORWARD_ORDER |
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| 389 | case 1: TEST_EXPECT_NEWICK(nSIMPLE, tree, "(((D,C),A),B);"); break; |
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| 390 | case 2: TEST_EXPECT_NEWICK(nSIMPLE, tree, "(((D,A),B),C);"); break; |
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| 391 | #endif |
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| 392 | default: arb_assert(0); break; |
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| 393 | } |
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| 394 | |
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| 395 | destroy(tree); |
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| 396 | } |
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| 397 | } |
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| 398 | TEST_PUBLISH(TEST_neighbourjoining); |
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| 399 | |
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| 400 | #endif // UNIT_TESTS |
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| 401 | |
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| 402 | // -------------------------------------------------------------------------------- |
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