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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