| 1 | #include "muscle.h" |
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| 2 | #include "clust.h" |
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| 3 | |
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| 4 | void Clust::InsertMetric(unsigned uIndex1, unsigned uIndex2, float dMetric) |
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| 5 | { |
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| 6 | RBInsert(uIndex1, uIndex2, dMetric); |
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| 7 | } |
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| 8 | |
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| 9 | void Clust::DeleteMetric(unsigned uIndex) |
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| 10 | { |
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| 11 | for (unsigned uNodeIndex = GetFirstCluster(); uNodeIndex != uInsane; |
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| 12 | uNodeIndex = GetNextCluster(uNodeIndex)) |
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| 13 | { |
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| 14 | if (uIndex == uNodeIndex) |
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| 15 | continue; |
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| 16 | DeleteMetric(uIndex, uNodeIndex); |
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| 17 | } |
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| 18 | } |
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| 19 | |
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| 20 | void Clust::InitMetric(unsigned uMaxNodeIndex) |
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| 21 | { |
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| 22 | m_uRBNodeCount = m_uTriangularMatrixSize; |
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| 23 | m_RBParent = new unsigned[m_uRBNodeCount]; |
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| 24 | m_RBLeft = new unsigned[m_uRBNodeCount]; |
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| 25 | m_RBRight = new unsigned[m_uRBNodeCount]; |
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| 26 | m_RBi = new ushort[m_uRBNodeCount]; |
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| 27 | m_RBj = new ushort[m_uRBNodeCount]; |
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| 28 | m_RBMetric = new float[m_uRBNodeCount]; |
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| 29 | m_RBColor = new bool[m_uRBNodeCount]; |
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| 30 | m_RBRoot = RB_NIL; |
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| 31 | |
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| 32 | #if DEBUG |
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| 33 | { |
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| 34 | // Initialize fields to invalid values so we have a chance |
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| 35 | // catch attempts to use them if they're not properly set. |
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| 36 | unsigned InvalidNode = m_uRBNodeCount + 1; |
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| 37 | for (unsigned Node = 0; Node < m_uRBNodeCount; ++Node) |
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| 38 | { |
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| 39 | m_RBParent[Node] = InvalidNode; |
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| 40 | m_RBLeft[Node] = InvalidNode; |
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| 41 | m_RBRight[Node] = InvalidNode; |
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| 42 | m_RBi[Node] = InvalidNode; |
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| 43 | m_RBj[Node] = InvalidNode; |
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| 44 | } |
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| 45 | } |
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| 46 | #endif |
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| 47 | } |
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| 48 | |
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| 49 | void Clust::ListMetric() const |
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| 50 | { |
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| 51 | Log("Red-black tree root=%u\n", m_RBRoot); |
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| 52 | Log("\n"); |
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| 53 | Log(" Node Parent Left Right Color i j Metric\n"); |
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| 54 | Log("----- ------ ----- ----- ----- ----- ----- ------\n"); |
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| 55 | |
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| 56 | if (RB_NIL == m_RBRoot) |
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| 57 | return; |
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| 58 | |
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| 59 | unsigned Count = 0; |
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| 60 | unsigned Start = RBMin(m_RBRoot); |
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| 61 | for (unsigned Node = Start; RB_NIL != Node; Node = RBNext(Node)) |
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| 62 | { |
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| 63 | Log("%5u", Node); |
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| 64 | |
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| 65 | if (RB_NIL != m_RBParent[Node]) |
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| 66 | Log(" %6u", m_RBParent[Node]); |
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| 67 | else |
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| 68 | Log(" "); |
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| 69 | |
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| 70 | if (RB_NIL != m_RBLeft[Node]) |
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| 71 | Log(" %5u", m_RBLeft[Node]); |
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| 72 | else |
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| 73 | Log(" "); |
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| 74 | |
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| 75 | if (RB_NIL != m_RBRight[Node]) |
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| 76 | Log(" %5u", m_RBRight[Node]); |
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| 77 | else |
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| 78 | Log(" "); |
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| 79 | |
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| 80 | Log(" %s %5u %5u %g\n", |
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| 81 | m_RBColor[Node] ? " Red" : "Black", |
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| 82 | m_RBi[Node], |
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| 83 | m_RBj[Node], |
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| 84 | m_RBMetric[Node]); |
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| 85 | |
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| 86 | if (++Count > m_uRBNodeCount) |
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| 87 | { |
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| 88 | Log(" ** LOOP ** \n"); |
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| 89 | break; |
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| 90 | } |
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| 91 | } |
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| 92 | } |
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| 93 | |
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| 94 | // If there is a left subtree, predecessor is the |
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| 95 | // largest key found under the left branch. Otherwise, |
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| 96 | // is first node in path to root that is a right child. |
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| 97 | unsigned Clust::RBPrev(unsigned Node) const |
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| 98 | { |
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| 99 | assert(Node < m_uRBNodeCount); |
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| 100 | |
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| 101 | unsigned Left = m_RBLeft[Node]; |
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| 102 | if (RB_NIL != Left) |
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| 103 | return RBMax(Left); |
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| 104 | |
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| 105 | for (;;) |
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| 106 | { |
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| 107 | unsigned Parent = m_RBParent[Node]; |
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| 108 | if (RB_NIL == Parent) |
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| 109 | return RB_NIL; |
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| 110 | if (m_RBRight[Parent] == Node) |
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| 111 | return Parent; |
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| 112 | Node = Parent; |
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| 113 | } |
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| 114 | } |
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| 115 | |
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| 116 | // If there is a right subtree, sucessor is the |
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| 117 | // smallest key found under the right branch. Otherwise, |
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| 118 | // is first node in path to root that is a left child. |
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| 119 | unsigned Clust::RBNext(unsigned Node) const |
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| 120 | { |
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| 121 | if (Node >= m_uRBNodeCount) |
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| 122 | Quit("RBNext(%u)", Node); |
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| 123 | assert(Node < m_uRBNodeCount); |
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| 124 | |
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| 125 | unsigned Right = m_RBRight[Node]; |
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| 126 | if (RB_NIL != Right) |
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| 127 | return RBMin(Right); |
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| 128 | |
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| 129 | for (;;) |
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| 130 | { |
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| 131 | unsigned Parent = m_RBParent[Node]; |
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| 132 | if (RB_NIL == Parent) |
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| 133 | return RB_NIL; |
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| 134 | if (m_RBLeft[Parent] == Node) |
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| 135 | return Parent; |
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| 136 | Node = Parent; |
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| 137 | } |
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| 138 | } |
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| 139 | |
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| 140 | // Minimum is in leftmost leaf |
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| 141 | unsigned Clust::RBMin(unsigned RBNode) const |
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| 142 | { |
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| 143 | assert(RB_NIL != RBNode); |
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| 144 | for (;;) |
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| 145 | { |
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| 146 | unsigned Left = m_RBLeft[RBNode]; |
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| 147 | if (RB_NIL == Left) |
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| 148 | return RBNode; |
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| 149 | RBNode = Left; |
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| 150 | } |
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| 151 | } |
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| 152 | |
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| 153 | // Maximum is in rightmost leaf |
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| 154 | unsigned Clust::RBMax(unsigned RBNode) const |
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| 155 | { |
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| 156 | assert(RB_NIL != RBNode); |
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| 157 | for (;;) |
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| 158 | { |
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| 159 | unsigned Right = m_RBRight[RBNode]; |
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| 160 | if (RB_NIL == Right) |
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| 161 | return RBNode; |
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| 162 | RBNode = Right; |
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| 163 | } |
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| 164 | } |
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| 165 | |
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| 166 | void Clust::DeleteMetric(unsigned uIndex1, unsigned uIndex2) |
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| 167 | { |
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| 168 | unsigned RBNode = (unsigned) VectorIndex(uIndex1, uIndex2); |
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| 169 | RBDelete(RBNode); |
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| 170 | } |
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| 171 | |
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| 172 | void Clust::RBDelete(unsigned Node) |
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| 173 | { |
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| 174 | #if DEBUG |
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| 175 | ValidateRB(); |
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| 176 | //Log("@@ Before RBDelete(%u)\n", Node); |
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| 177 | //ListMetric(); |
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| 178 | #endif |
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| 179 | |
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| 180 | unsigned Left = m_RBLeft[Node]; |
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| 181 | unsigned Right = m_RBRight[Node]; |
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| 182 | unsigned Parent = m_RBParent[Node]; |
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| 183 | |
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| 184 | // If one or two nil children, splice out this node. |
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| 185 | if (RB_NIL == Left || RB_NIL == Right) |
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| 186 | { |
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| 187 | // Log("@@ One child\n"); |
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| 188 | // Child is non-NIL child, or NIL if none. |
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| 189 | unsigned Child = (Left != RB_NIL ? Left : Right); |
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| 190 | |
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| 191 | // Special case if root |
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| 192 | if (RB_NIL == Parent) |
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| 193 | { |
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| 194 | assert(Node == m_RBRoot); |
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| 195 | m_RBRoot = Child; |
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| 196 | if (RB_NIL != Child) |
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| 197 | m_RBParent[Child] = RB_NIL; |
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| 198 | return; |
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| 199 | } |
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| 200 | |
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| 201 | // Typical case. |
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| 202 | // Update parent->child link |
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| 203 | if (m_RBLeft[Parent] == Node) |
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| 204 | m_RBLeft[Parent] = Child; |
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| 205 | else |
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| 206 | { |
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| 207 | assert(m_RBRight[Parent] == Node); |
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| 208 | m_RBRight[Parent] = Child; |
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| 209 | } |
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| 210 | |
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| 211 | // Update child->parent link |
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| 212 | if (RB_NIL != Child) |
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| 213 | m_RBParent[Child] = Parent; |
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| 214 | |
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| 215 | #if DEBUG |
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| 216 | //Log("@@ After RBDelete(%u)\n", Node); |
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| 217 | //ListMetric(); |
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| 218 | ValidateRB(); |
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| 219 | #endif |
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| 220 | return; |
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| 221 | } |
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| 222 | |
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| 223 | //Log("@@ RBDelete(%u) Tricky case\n", Node); |
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| 224 | //ListMetric(); |
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| 225 | |
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| 226 | // Trickier case, node has two children. |
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| 227 | assert(Left != RB_NIL && Right != RB_NIL); |
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| 228 | |
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| 229 | // We're going to splice out successor node from its |
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| 230 | // current position and insert it in place of node |
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| 231 | // to be deleted. |
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| 232 | |
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| 233 | // Successor cannot be nil because there is a right child. |
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| 234 | unsigned Next = RBNext(Node); |
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| 235 | assert(Next != RB_NIL); |
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| 236 | |
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| 237 | // The successor of a node with two children is |
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| 238 | // guaranteed to have no more than one child. |
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| 239 | unsigned NextLeft = m_RBLeft[Next]; |
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| 240 | unsigned NextRight = m_RBRight[Next]; |
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| 241 | assert(RB_NIL == NextLeft || RB_NIL == NextRight); |
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| 242 | |
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| 243 | // Successor of node with two children cannot be the root. |
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| 244 | unsigned NextParent = m_RBParent[Next]; |
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| 245 | assert(RB_NIL != NextParent); |
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| 246 | |
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| 247 | // Ugly special case if successor is right child |
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| 248 | if (Next == Right) |
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| 249 | { |
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| 250 | #if DEBUG |
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| 251 | //Log("@@ Before RBDelete(%u) (tricky next==right)\n", Node); |
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| 252 | //ListMetric(); |
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| 253 | #endif |
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| 254 | m_RBParent[Next] = Parent; |
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| 255 | |
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| 256 | if (RB_NIL == Parent) |
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| 257 | { |
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| 258 | m_RBRoot = Next; |
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| 259 | m_RBParent[Next] = RB_NIL; |
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| 260 | } |
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| 261 | else |
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| 262 | { |
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| 263 | if (m_RBLeft[Parent] == Node) |
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| 264 | m_RBLeft[Parent] = Next; |
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| 265 | else |
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| 266 | { |
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| 267 | assert(m_RBRight[Parent] == Node); |
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| 268 | m_RBRight[Parent] = Next; |
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| 269 | } |
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| 270 | } |
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| 271 | |
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| 272 | m_RBLeft[Next] = Left; |
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| 273 | |
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| 274 | if (RB_NIL != Left) |
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| 275 | m_RBParent[Left] = Next; |
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| 276 | |
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| 277 | #if DEBUG |
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| 278 | //Log("@@ After RBDelete(%u) (tricky next==right)\n", Node); |
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| 279 | //ListMetric(); |
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| 280 | ValidateRB(); |
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| 281 | #endif |
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| 282 | return; |
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| 283 | } |
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| 284 | |
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| 285 | // Set NextChild either to the one child of successor, or nil. |
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| 286 | unsigned NextChild = (NextLeft != RB_NIL ? NextLeft : NextRight); |
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| 287 | |
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| 288 | // Splice successor from its current position |
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| 289 | if (m_RBLeft[NextParent] == Next) |
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| 290 | m_RBLeft[NextParent] = NextChild; |
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| 291 | else |
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| 292 | { |
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| 293 | assert(m_RBRight[NextParent] == Next); |
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| 294 | m_RBRight[NextParent] = NextChild; |
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| 295 | } |
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| 296 | |
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| 297 | if (RB_NIL != NextChild) |
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| 298 | m_RBParent[NextChild] = NextParent; |
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| 299 | |
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| 300 | // Insert successor into position currently held by node |
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| 301 | // to be deleted. |
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| 302 | if (RB_NIL == Parent) |
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| 303 | { |
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| 304 | m_RBRoot = Next; |
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| 305 | m_RBParent[Next] = RB_NIL; |
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| 306 | } |
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| 307 | else |
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| 308 | { |
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| 309 | if (m_RBLeft[Parent] == Node) |
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| 310 | m_RBLeft[Parent] = Next; |
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| 311 | else |
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| 312 | { |
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| 313 | assert(m_RBRight[Parent] == Node); |
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| 314 | m_RBRight[Parent] = Next; |
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| 315 | } |
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| 316 | } |
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| 317 | |
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| 318 | m_RBLeft[Next] = Left; |
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| 319 | m_RBRight[Next] = Right; |
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| 320 | m_RBParent[Next] = Parent; |
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| 321 | |
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| 322 | m_RBParent[Left] = Next; |
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| 323 | m_RBParent[Right] = Next; |
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| 324 | |
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| 325 | #if DEBUG |
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| 326 | //Log("@@ After RBDelete(%u)\n", Node); |
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| 327 | //ListMetric(); |
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| 328 | ValidateRB(); |
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| 329 | #endif |
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| 330 | } |
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| 331 | |
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| 332 | unsigned Clust::RBInsert(unsigned i, unsigned j, float fMetric) |
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| 333 | { |
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| 334 | #if DEBUG |
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| 335 | ValidateRB(); |
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| 336 | #endif |
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| 337 | |
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| 338 | unsigned NewNode = VectorIndex(i, j); |
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| 339 | m_RBMetric[NewNode] = fMetric; |
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| 340 | m_RBi[NewNode] = i; |
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| 341 | m_RBj[NewNode] = j; |
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| 342 | |
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| 343 | // New node is always inserted as a leaf. |
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| 344 | // Proof that this is possible is found in algorithm |
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| 345 | // textbooks (I forget the argument). |
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| 346 | m_RBLeft[NewNode] = RB_NIL; |
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| 347 | m_RBRight[NewNode] = RB_NIL; |
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| 348 | |
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| 349 | unsigned NewParent = RB_NIL; |
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| 350 | unsigned Node = m_RBRoot; |
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| 351 | |
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| 352 | unsigned uCount = 0; |
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| 353 | while (RB_NIL != Node) |
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| 354 | { |
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| 355 | NewParent = Node; |
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| 356 | if (fMetric < m_RBMetric[Node]) |
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| 357 | Node = m_RBLeft[Node]; |
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| 358 | else |
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| 359 | Node = m_RBRight[Node]; |
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| 360 | ++uCount; |
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| 361 | if (uCount > m_uRBNodeCount) |
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| 362 | Quit("Infinite loop in RBInsert"); |
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| 363 | } |
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| 364 | |
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| 365 | m_RBParent[NewNode] = NewParent; |
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| 366 | if (RB_NIL == NewParent) |
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| 367 | m_RBRoot = NewNode; |
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| 368 | else |
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| 369 | { |
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| 370 | if (fMetric < m_RBMetric[NewParent]) |
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| 371 | m_RBLeft[NewParent] = NewNode; |
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| 372 | else |
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| 373 | m_RBRight[NewParent] = NewNode; |
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| 374 | } |
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| 375 | |
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| 376 | #if DEBUG |
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| 377 | { |
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| 378 | unsigned Next = RBNext(NewNode); |
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| 379 | if (Next != RB_NIL) |
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| 380 | assert(NewNode == RBPrev(Next)); |
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| 381 | unsigned Prev = RBPrev(NewNode); |
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| 382 | if (Prev != RB_NIL) |
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| 383 | assert(NewNode == RBNext(Prev)); |
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| 384 | ValidateRB(); |
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| 385 | } |
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| 386 | #endif |
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| 387 | return NewNode; |
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| 388 | } |
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| 389 | |
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| 390 | void Clust::ValidateRBNode(unsigned Node, const char szMsg[]) const |
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| 391 | { |
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| 392 | if (RB_NIL == Node) |
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| 393 | return; |
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| 394 | |
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| 395 | unsigned Parent = m_RBParent[Node]; |
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| 396 | unsigned Left = m_RBLeft[Node]; |
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| 397 | unsigned Right = m_RBRight[Node]; |
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| 398 | |
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| 399 | unsigned Next = RBNext(Node); |
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| 400 | unsigned Prev = RBPrev(Node); |
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| 401 | |
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| 402 | if (RB_NIL != Next && RBPrev(Next) != Node) |
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| 403 | { |
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| 404 | ListMetric(); |
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| 405 | Quit("ValidateRB(%s) Node=%u Next=%u Prev(Next)=%u", |
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| 406 | szMsg, Node, Next, RBPrev(Next)); |
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| 407 | } |
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| 408 | |
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| 409 | if (RB_NIL != Prev && RBNext(Prev) != Node) |
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| 410 | { |
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| 411 | ListMetric(); |
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| 412 | Quit("ValidateRB(%s) Node=%u Prev=%u Next(Prev)=%u", |
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| 413 | szMsg, Node, Prev, RBNext(Prev)); |
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| 414 | } |
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| 415 | |
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| 416 | if (RB_NIL != Parent) |
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| 417 | { |
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| 418 | if (m_RBLeft[Parent] != Node && m_RBRight[Parent] != Node) |
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| 419 | { |
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| 420 | ListMetric(); |
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| 421 | Quit("ValidateRB(%s): Parent %u not linked to child %u\n", |
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| 422 | szMsg, Parent, Node); |
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| 423 | } |
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| 424 | } |
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| 425 | |
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| 426 | if (RB_NIL != Left) |
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| 427 | { |
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| 428 | if (m_RBParent[Left] != Node) |
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| 429 | { |
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| 430 | ListMetric(); |
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| 431 | Quit("ValidateRB(%s): Left child %u not linked to parent %u\n", |
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| 432 | szMsg, Left, Node); |
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| 433 | } |
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| 434 | } |
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| 435 | |
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| 436 | if (RB_NIL != Right) |
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| 437 | { |
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| 438 | if (m_RBParent[Right] != Node) |
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| 439 | { |
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| 440 | ListMetric(); |
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| 441 | Quit("ValidateRB(%s): Right child %u not linked to parent %u\n", |
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| 442 | szMsg, Right, Node); |
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| 443 | } |
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| 444 | } |
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| 445 | |
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| 446 | ValidateRBNode(Left, szMsg); |
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| 447 | ValidateRBNode(Right, szMsg); |
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| 448 | } |
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| 449 | |
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| 450 | void Clust::ValidateRB(const char szMsg[]) const |
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| 451 | { |
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| 452 | if (RB_NIL == m_RBRoot) |
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| 453 | return; |
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| 454 | |
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| 455 | ValidateRBNode(m_RBRoot, szMsg); |
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| 456 | |
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| 457 | unsigned Node = RBMin(m_RBRoot); |
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| 458 | for (;;) |
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| 459 | { |
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| 460 | unsigned Next = RBNext(Node); |
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| 461 | if (RB_NIL == Next) |
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| 462 | break; |
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| 463 | if (m_RBMetric[Node] > m_RBMetric[Next]) |
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| 464 | { |
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| 465 | ListMetric(); |
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| 466 | Quit("ValidateRBNode(%s): metric out of order %u=%g %u=%g", |
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| 467 | szMsg, Node, m_RBMetric[Node], Next, m_RBMetric[Next]); |
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| 468 | } |
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| 469 | Node = Next; |
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| 470 | } |
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| 471 | } |
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