1 | #include "muscle.h" |
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2 | #include "tree.h" |
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3 | #include "edgelist.h" |
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4 | |
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5 | #define TRACE 0 |
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6 | |
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7 | struct EdgeInfo |
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8 | { |
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9 | EdgeInfo() |
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10 | { |
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11 | m_bSet = false; |
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12 | } |
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13 | // Is data in this structure valid (i.e, has been set)? |
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14 | bool m_bSet; |
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15 | |
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16 | // Node at start of this edge |
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17 | unsigned m_uNode1; |
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18 | |
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19 | // Node at end of this edge |
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20 | unsigned m_uNode2; |
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21 | |
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22 | // Maximum distance from Node2 to a leaf |
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23 | double m_dMaxDistToLeaf; |
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24 | |
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25 | // Sum of distances from Node2 to all leaves under Node2 |
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26 | double m_dTotalDistToLeaves; |
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27 | |
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28 | // Next node on path from Node2 to most distant leaf |
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29 | unsigned m_uMaxStep; |
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30 | |
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31 | // Most distant leaf from Node2 (used for debugging only) |
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32 | unsigned m_uMostDistantLeaf; |
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33 | |
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34 | // Number of leaves under Node2 |
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35 | unsigned m_uLeafCount; |
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36 | }; |
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37 | |
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38 | static void RootByMidLongestSpan(const Tree &tree, EdgeInfo **EIs, |
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39 | unsigned *ptruNode1, unsigned *ptruNode2, |
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40 | double *ptrdLength1, double *ptrdLength2); |
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41 | static void RootByMinAvgLeafDist(const Tree &tree, EdgeInfo **EIs, |
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42 | unsigned *ptruNode1, unsigned *ptruNode2, |
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43 | double *ptrdLength1, double *ptrdLength2); |
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44 | |
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45 | static void ListEIs(EdgeInfo **EIs, unsigned uNodeCount) |
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46 | { |
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47 | Log("Node1 Node2 MaxDist TotDist MostDist LeafCount Step\n"); |
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48 | Log("----- ----- ------- ------- -------- --------- ----\n"); |
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49 | // 12345 12345 1234567 1234567 12345678 123456789 |
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50 | |
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51 | for (unsigned uNode = 0; uNode < uNodeCount; ++uNode) |
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52 | for (unsigned uNeighbor = 0; uNeighbor < 3; ++uNeighbor) |
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53 | { |
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54 | const EdgeInfo &EI = EIs[uNode][uNeighbor]; |
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55 | if (!EI.m_bSet) |
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56 | continue; |
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57 | Log("%5u %5u %7.3g %7.3g %8u %9u", |
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58 | EI.m_uNode1, |
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59 | EI.m_uNode2, |
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60 | EI.m_dMaxDistToLeaf, |
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61 | EI.m_dTotalDistToLeaves, |
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62 | EI.m_uMostDistantLeaf, |
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63 | EI.m_uLeafCount); |
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64 | if (NULL_NEIGHBOR != EI.m_uMaxStep) |
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65 | Log(" %4u", EI.m_uMaxStep); |
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66 | Log("\n"); |
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67 | } |
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68 | } |
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69 | |
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70 | static void CalcInfo(const Tree &tree, unsigned uNode1, unsigned uNode2, EdgeInfo **EIs) |
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71 | { |
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72 | const unsigned uNeighborIndex = tree.GetNeighborSubscript(uNode1, uNode2); |
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73 | EdgeInfo &EI = EIs[uNode1][uNeighborIndex]; |
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74 | EI.m_uNode1 = uNode1; |
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75 | EI.m_uNode2 = uNode2; |
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76 | |
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77 | if (tree.IsLeaf(uNode2)) |
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78 | { |
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79 | EI.m_dMaxDistToLeaf = 0; |
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80 | EI.m_dTotalDistToLeaves = 0; |
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81 | EI.m_uMaxStep = NULL_NEIGHBOR; |
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82 | EI.m_uMostDistantLeaf = uNode2; |
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83 | EI.m_uLeafCount = 1; |
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84 | EI.m_bSet = true; |
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85 | return; |
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86 | } |
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87 | |
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88 | double dMaxDistToLeaf = -1e29; |
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89 | double dTotalDistToLeaves = 0.0; |
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90 | unsigned uLeafCount = 0; |
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91 | unsigned uMostDistantLeaf = NULL_NEIGHBOR; |
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92 | unsigned uMaxStep = NULL_NEIGHBOR; |
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93 | |
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94 | const unsigned uNeighborCount = tree.GetNeighborCount(uNode2); |
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95 | for (unsigned uSub = 0; uSub < uNeighborCount; ++uSub) |
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96 | { |
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97 | const unsigned uNode3 = tree.GetNeighbor(uNode2, uSub); |
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98 | if (uNode3 == uNode1) |
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99 | continue; |
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100 | const EdgeInfo &EINext = EIs[uNode2][uSub]; |
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101 | if (!EINext.m_bSet) |
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102 | Quit("CalcInfo: internal error, dist %u->%u not known", |
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103 | uNode2, uNode3); |
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104 | |
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105 | |
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106 | uLeafCount += EINext.m_uLeafCount; |
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107 | |
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108 | const double dEdgeLength = tree.GetEdgeLength(uNode2, uNode3); |
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109 | const double dTotalDist = EINext.m_dTotalDistToLeaves + |
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110 | EINext.m_uLeafCount*dEdgeLength; |
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111 | dTotalDistToLeaves += dTotalDist; |
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112 | |
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113 | const double dDist = EINext.m_dMaxDistToLeaf + dEdgeLength; |
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114 | if (dDist > dMaxDistToLeaf) |
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115 | { |
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116 | dMaxDistToLeaf = dDist; |
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117 | uMostDistantLeaf = EINext.m_uMostDistantLeaf; |
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118 | uMaxStep = uNode3; |
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119 | } |
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120 | } |
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121 | if (NULL_NEIGHBOR == uMaxStep || NULL_NEIGHBOR == uMostDistantLeaf || |
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122 | 0 == uLeafCount) |
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123 | Quit("CalcInfo: internal error 2"); |
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124 | |
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125 | const double dThisDist = tree.GetEdgeLength(uNode1, uNode2); |
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126 | EI.m_dMaxDistToLeaf = dMaxDistToLeaf; |
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127 | EI.m_dTotalDistToLeaves = dTotalDistToLeaves; |
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128 | EI.m_uMaxStep = uMaxStep; |
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129 | EI.m_uMostDistantLeaf = uMostDistantLeaf; |
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130 | EI.m_uLeafCount = uLeafCount; |
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131 | EI.m_bSet = true; |
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132 | } |
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133 | |
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134 | static bool Known(const Tree &tree, EdgeInfo **EIs, unsigned uNodeFrom, |
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135 | unsigned uNodeTo) |
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136 | { |
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137 | const unsigned uSub = tree.GetNeighborSubscript(uNodeFrom, uNodeTo); |
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138 | return EIs[uNodeFrom][uSub].m_bSet; |
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139 | } |
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140 | |
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141 | static bool AllKnownOut(const Tree &tree, EdgeInfo **EIs, unsigned uNodeFrom, |
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142 | unsigned uNodeTo) |
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143 | { |
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144 | const unsigned uNeighborCount = tree.GetNeighborCount(uNodeTo); |
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145 | for (unsigned uSub = 0; uSub < uNeighborCount; ++uSub) |
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146 | { |
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147 | unsigned uNeighborIndex = tree.GetNeighbor(uNodeTo, uSub); |
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148 | if (uNeighborIndex == uNodeFrom) |
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149 | continue; |
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150 | if (!EIs[uNodeTo][uSub].m_bSet) |
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151 | return false; |
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152 | } |
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153 | return true; |
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154 | } |
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155 | |
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156 | void FindRoot(const Tree &tree, unsigned *ptruNode1, unsigned *ptruNode2, |
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157 | double *ptrdLength1, double *ptrdLength2, |
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158 | ROOT RootMethod) |
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159 | { |
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160 | #if TRACE |
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161 | tree.LogMe(); |
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162 | #endif |
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163 | if (tree.IsRooted()) |
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164 | Quit("FindRoot: tree already rooted"); |
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165 | |
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166 | const unsigned uNodeCount = tree.GetNodeCount(); |
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167 | const unsigned uLeafCount = tree.GetLeafCount(); |
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168 | |
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169 | if (uNodeCount < 2) |
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170 | Quit("Root: don't support trees with < 2 edges"); |
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171 | |
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172 | EdgeInfo **EIs = new EdgeInfo *[uNodeCount]; |
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173 | for (unsigned uNodeIndex = 0; uNodeIndex < uNodeCount; ++uNodeIndex) |
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174 | EIs[uNodeIndex] = new EdgeInfo[3]; |
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175 | |
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176 | EdgeList Edges; |
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177 | for (unsigned uNodeIndex = 0; uNodeIndex < uNodeCount; ++uNodeIndex) |
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178 | if (tree.IsLeaf(uNodeIndex)) |
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179 | { |
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180 | unsigned uParent = tree.GetNeighbor1(uNodeIndex); |
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181 | Edges.Add(uParent, uNodeIndex); |
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182 | } |
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183 | |
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184 | #if TRACE |
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185 | Log("Edges: "); |
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186 | Edges.LogMe(); |
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187 | #endif |
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188 | |
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189 | // Main loop: iterate until all distances known |
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190 | double dAllMaxDist = -1e20; |
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191 | unsigned uMaxFrom = NULL_NEIGHBOR; |
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192 | unsigned uMaxTo = NULL_NEIGHBOR; |
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193 | for (;;) |
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194 | { |
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195 | EdgeList NextEdges; |
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196 | |
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197 | #if TRACE |
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198 | Log("\nTop of main loop\n"); |
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199 | Log("Edges: "); |
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200 | Edges.LogMe(); |
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201 | Log("MDs:\n"); |
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202 | ListEIs(EIs, uNodeCount); |
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203 | #endif |
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204 | |
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205 | // For all edges |
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206 | const unsigned uEdgeCount = Edges.GetCount(); |
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207 | if (0 == uEdgeCount) |
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208 | break; |
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209 | for (unsigned n = 0; n < uEdgeCount; ++n) |
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210 | { |
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211 | unsigned uNodeFrom; |
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212 | unsigned uNodeTo; |
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213 | Edges.GetEdge(n, &uNodeFrom, &uNodeTo); |
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214 | |
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215 | CalcInfo(tree, uNodeFrom, uNodeTo, EIs); |
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216 | #if TRACE |
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217 | Log("Edge %u -> %u\n", uNodeFrom, uNodeTo); |
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218 | #endif |
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219 | const unsigned uNeighborCount = tree.GetNeighborCount(uNodeFrom); |
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220 | for (unsigned i = 0; i < uNeighborCount; ++i) |
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221 | { |
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222 | const unsigned uNeighborIndex = tree.GetNeighbor(uNodeFrom, i); |
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223 | if (!Known(tree, EIs, uNeighborIndex, uNodeFrom) && |
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224 | AllKnownOut(tree, EIs, uNeighborIndex, uNodeFrom)) |
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225 | NextEdges.Add(uNeighborIndex, uNodeFrom); |
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226 | } |
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227 | } |
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228 | Edges.Copy(NextEdges); |
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229 | } |
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230 | |
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231 | #if TRACE |
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232 | ListEIs(EIs, uNodeCount); |
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233 | #endif |
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234 | |
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235 | switch (RootMethod) |
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236 | { |
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237 | case ROOT_MidLongestSpan: |
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238 | RootByMidLongestSpan(tree, EIs, ptruNode1, ptruNode2, |
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239 | ptrdLength1, ptrdLength2); |
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240 | break; |
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241 | |
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242 | case ROOT_MinAvgLeafDist: |
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243 | RootByMinAvgLeafDist(tree, EIs, ptruNode1, ptruNode2, |
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244 | ptrdLength1, ptrdLength2); |
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245 | break; |
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246 | |
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247 | default: |
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248 | Quit("Invalid RootMethod=%d", RootMethod); |
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249 | } |
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250 | |
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251 | for (unsigned uNodeIndex = 0; uNodeIndex < uNodeCount; ++uNodeIndex) |
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252 | delete[] EIs[uNodeIndex]; |
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253 | delete[] EIs; |
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254 | } |
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255 | |
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256 | static void RootByMidLongestSpan(const Tree &tree, EdgeInfo **EIs, |
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257 | unsigned *ptruNode1, unsigned *ptruNode2, |
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258 | double *ptrdLength1, double *ptrdLength2) |
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259 | { |
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260 | const unsigned uNodeCount = tree.GetNodeCount(); |
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261 | |
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262 | unsigned uLeaf1 = NULL_NEIGHBOR; |
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263 | unsigned uMostDistantLeaf = NULL_NEIGHBOR; |
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264 | double dMaxDist = -VERY_LARGE_DOUBLE; |
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265 | for (unsigned uNodeIndex = 0; uNodeIndex < uNodeCount; ++uNodeIndex) |
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266 | { |
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267 | if (!tree.IsLeaf(uNodeIndex)) |
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268 | continue; |
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269 | |
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270 | const unsigned uNode2 = tree.GetNeighbor1(uNodeIndex); |
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271 | if (NULL_NEIGHBOR == uNode2) |
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272 | Quit("RootByMidLongestSpan: internal error 0"); |
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273 | const double dEdgeLength = tree.GetEdgeLength(uNodeIndex, uNode2); |
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274 | const EdgeInfo &EI = EIs[uNodeIndex][0]; |
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275 | if (!EI.m_bSet) |
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276 | Quit("RootByMidLongestSpan: internal error 1"); |
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277 | if (EI.m_uNode1 != uNodeIndex || EI.m_uNode2 != uNode2) |
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278 | Quit("RootByMidLongestSpan: internal error 2"); |
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279 | const double dSpanLength = dEdgeLength + EI.m_dMaxDistToLeaf; |
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280 | if (dSpanLength > dMaxDist) |
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281 | { |
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282 | dMaxDist = dSpanLength; |
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283 | uLeaf1 = uNodeIndex; |
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284 | uMostDistantLeaf = EI.m_uMostDistantLeaf; |
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285 | } |
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286 | } |
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287 | |
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288 | if (NULL_NEIGHBOR == uLeaf1) |
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289 | Quit("RootByMidLongestSpan: internal error 3"); |
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290 | |
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291 | const double dTreeHeight = dMaxDist/2.0; |
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292 | unsigned uNode1 = uLeaf1; |
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293 | unsigned uNode2 = tree.GetNeighbor1(uLeaf1); |
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294 | double dAccumSpanLength = 0; |
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295 | |
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296 | #if TRACE |
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297 | Log("RootByMidLongestSpan: span=%u", uLeaf1); |
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298 | #endif |
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299 | |
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300 | for (;;) |
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301 | { |
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302 | const double dEdgeLength = tree.GetEdgeLength(uNode1, uNode2); |
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303 | #if TRACE |
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304 | Log("->%u(%g;%g)", uNode2, dEdgeLength, dAccumSpanLength); |
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305 | #endif |
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306 | if (dAccumSpanLength + dEdgeLength >= dTreeHeight) |
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307 | { |
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308 | *ptruNode1 = uNode1; |
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309 | *ptruNode2 = uNode2; |
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310 | *ptrdLength1 = dTreeHeight - dAccumSpanLength; |
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311 | *ptrdLength2 = dEdgeLength - *ptrdLength1; |
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312 | #if TRACE |
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313 | { |
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314 | const EdgeInfo &EI = EIs[uLeaf1][0]; |
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315 | Log("...\n"); |
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316 | Log("Midpoint: Leaf1=%u Leaf2=%u Node1=%u Node2=%u Length1=%g Length2=%g\n", |
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317 | uLeaf1, EI.m_uMostDistantLeaf, *ptruNode1, *ptruNode2, *ptrdLength1, *ptrdLength2); |
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318 | } |
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319 | #endif |
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320 | return; |
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321 | } |
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322 | |
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323 | if (tree.IsLeaf(uNode2)) |
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324 | Quit("RootByMidLongestSpan: internal error 4"); |
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325 | |
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326 | dAccumSpanLength += dEdgeLength; |
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327 | const unsigned uSub = tree.GetNeighborSubscript(uNode1, uNode2); |
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328 | const EdgeInfo &EI = EIs[uNode1][uSub]; |
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329 | if (!EI.m_bSet) |
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330 | Quit("RootByMidLongestSpan: internal error 5"); |
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331 | |
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332 | uNode1 = uNode2; |
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333 | uNode2 = EI.m_uMaxStep; |
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334 | } |
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335 | } |
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336 | |
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337 | /*** |
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338 | Root by balancing average distance to leaves. |
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339 | The root is a point p such that the average |
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340 | distance to leaves to the left of p is the |
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341 | same as the to the right. |
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342 | |
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343 | This is the method used by CLUSTALW, which |
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344 | was originally used in PROFILEWEIGHT: |
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345 | |
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346 | Thompson et al. (1994) CABIOS (10) 1, 19-29. |
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347 | ***/ |
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348 | |
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349 | static void RootByMinAvgLeafDist(const Tree &tree, EdgeInfo **EIs, |
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350 | unsigned *ptruNode1, unsigned *ptruNode2, |
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351 | double *ptrdLength1, double *ptrdLength2) |
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352 | { |
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353 | const unsigned uNodeCount = tree.GetNodeCount(); |
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354 | const unsigned uLeafCount = tree.GetLeafCount(); |
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355 | unsigned uNode1 = NULL_NEIGHBOR; |
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356 | unsigned uNode2 = NULL_NEIGHBOR; |
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357 | double dMinHeight = VERY_LARGE_DOUBLE; |
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358 | double dBestLength1 = VERY_LARGE_DOUBLE; |
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359 | double dBestLength2 = VERY_LARGE_DOUBLE; |
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360 | |
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361 | for (unsigned uNodeIndex = 0; uNodeIndex < uNodeCount; ++uNodeIndex) |
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362 | { |
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363 | const unsigned uNeighborCount = tree.GetNeighborCount(uNodeIndex); |
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364 | for (unsigned uSub = 0; uSub < uNeighborCount; ++uSub) |
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365 | { |
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366 | const unsigned uNeighborIndex = tree.GetNeighbor(uNodeIndex, uSub); |
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367 | |
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368 | // Avoid visiting same edge a second time in reversed order. |
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369 | if (uNeighborIndex < uNodeIndex) |
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370 | continue; |
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371 | |
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372 | const unsigned uSubRev = tree.GetNeighborSubscript(uNeighborIndex, uNodeIndex); |
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373 | if (NULL_NEIGHBOR == uSubRev) |
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374 | Quit("RootByMinAvgLeafDist, internal error 1"); |
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375 | |
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376 | // Get info for edges Node1->Node2 and Node2->Node1 (reversed) |
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377 | const EdgeInfo &EI = EIs[uNodeIndex][uSub]; |
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378 | const EdgeInfo &EIRev = EIs[uNeighborIndex][uSubRev]; |
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379 | |
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380 | if (EI.m_uNode1 != uNodeIndex || EI.m_uNode2 != uNeighborIndex || |
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381 | EIRev.m_uNode1 != uNeighborIndex || EIRev.m_uNode2 != uNodeIndex) |
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382 | Quit("RootByMinAvgLeafDist, internal error 2"); |
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383 | if (!EI.m_bSet) |
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384 | Quit("RootByMinAvgLeafDist, internal error 3"); |
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385 | if (uLeafCount != EI.m_uLeafCount + EIRev.m_uLeafCount) |
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386 | Quit("RootByMinAvgLeafDist, internal error 4"); |
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387 | |
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388 | const double dEdgeLength = tree.GetEdgeLength(uNodeIndex, uNeighborIndex); |
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389 | if (dEdgeLength != tree.GetEdgeLength(uNeighborIndex, uNodeIndex)) |
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390 | Quit("RootByMinAvgLeafDist, internal error 5"); |
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391 | |
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392 | // Consider point p on edge 12 in tree (1=Node, 2=Neighbor). |
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393 | // |
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394 | // ----- ---- |
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395 | // | | |
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396 | // 1----p--2 |
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397 | // | | |
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398 | // ----- ---- |
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399 | // |
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400 | // Define: |
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401 | // ADLp = average distance to leaves to left of point p. |
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402 | // ADRp = average distance to leaves to right of point p. |
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403 | // L = edge length = distance 12 |
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404 | // x = distance 1p |
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405 | // So distance p2 = L - x. |
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406 | // Average distance from p to leaves on left of p is: |
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407 | // ADLp = ADL1 + x |
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408 | // Average distance from p to leaves on right of p is: |
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409 | // ADRp = ADR2 + (L - x) |
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410 | // To be a root, we require these two distances to be equal, |
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411 | // ADLp = ADRp |
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412 | // ADL1 + x = ADR2 + (L - x) |
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413 | // Solving for x, |
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414 | // x = (ADR2 - ADL1 + L)/2 |
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415 | // If 0 <= x <= L, we can place the root on edge 12. |
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416 | |
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417 | const double ADL1 = EI.m_dTotalDistToLeaves / EI.m_uLeafCount; |
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418 | const double ADR2 = EIRev.m_dTotalDistToLeaves / EIRev.m_uLeafCount; |
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419 | |
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420 | const double x = (ADR2 - ADL1 + dEdgeLength)/2.0; |
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421 | if (x >= 0 && x <= dEdgeLength) |
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422 | { |
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423 | const double dLength1 = x; |
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424 | const double dLength2 = dEdgeLength - x; |
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425 | const double dHeight1 = EI.m_dMaxDistToLeaf + dLength1; |
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426 | const double dHeight2 = EIRev.m_dMaxDistToLeaf + dLength2; |
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427 | const double dHeight = dHeight1 >= dHeight2 ? dHeight1 : dHeight2; |
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428 | #if TRACE |
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429 | Log("Candidate root Node1=%u Node2=%u Height=%g\n", |
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430 | uNodeIndex, uNeighborIndex, dHeight); |
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431 | #endif |
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432 | if (dHeight < dMinHeight) |
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433 | { |
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434 | uNode1 = uNodeIndex; |
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435 | uNode2 = uNeighborIndex; |
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436 | dBestLength1 = dLength1; |
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437 | dBestLength2 = dLength2; |
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438 | dMinHeight = dHeight; |
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439 | } |
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440 | } |
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441 | } |
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442 | } |
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443 | |
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444 | if (NULL_NEIGHBOR == uNode1 || NULL_NEIGHBOR == uNode2) |
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445 | Quit("RootByMinAvgLeafDist, internal error 6"); |
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446 | |
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447 | #if TRACE |
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448 | Log("Best root Node1=%u Node2=%u Length1=%g Length2=%g Height=%g\n", |
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449 | uNode1, uNode2, dBestLength1, dBestLength2, dMinHeight); |
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450 | #endif |
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451 | |
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452 | *ptruNode1 = uNode1; |
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453 | *ptruNode2 = uNode2; |
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454 | *ptrdLength1 = dBestLength1; |
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455 | *ptrdLength2 = dBestLength2; |
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456 | } |
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457 | |
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458 | void FixRoot(Tree &tree, ROOT Method) |
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459 | { |
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460 | if (!tree.IsRooted()) |
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461 | Quit("FixRoot: expecting rooted tree"); |
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462 | |
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463 | // Pseudo-root: keep root assigned by clustering |
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464 | if (ROOT_Pseudo == Method) |
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465 | return; |
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466 | |
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467 | tree.UnrootByDeletingRoot(); |
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468 | tree.RootUnrootedTree(Method); |
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469 | } |
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