| 1 | // This may look like C code, but it is really -*- C++ -*-
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| 2 | /*
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| 3 | Copyright (C) 1988 Free Software Foundation
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| 4 | written by Doug Lea ([email protected])
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| 5 |
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| 6 | This file is part of the GNU C++ Library. This library is free
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| 7 | software; you can redistribute it and/or modify it under the terms of
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| 8 | the GNU Library General Public License as published by the Free
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| 9 | Software Foundation; either version 2 of the License, or (at your
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| 10 | option) any later version. This library is distributed in the hope
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| 11 | that it will be useful, but WITHOUT ANY WARRANTY; without even the
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| 12 | implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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| 13 | PURPOSE. See the GNU Library General Public License for more details.
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| 14 | You should have received a copy of the GNU Library General Public
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| 15 | License along with this library; if not, write to the Free Software
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| 16 | Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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| 17 | */
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| 18 |
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| 19 | #ifdef __GNUG__
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| 20 | #pragma implementation
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| 21 | #endif
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| 22 | #include <stream.h>
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| 23 | #include "<T>.<C>.SplayMap.h"
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| 24 |
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| 25 |
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| 26 | /*
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| 27 |
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| 28 | struct to simulate the special `null' node in the Sleater & Tarjan JACM 1985
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| 29 | splay tree algorithms
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| 30 |
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| 31 | All routines use a version of their `simple top-down' splay alg. (p 669)
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| 32 |
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| 33 | */
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| 34 |
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| 35 | struct _dummySplayNode
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| 36 | {
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| 37 | <T><C>SplayNode* lt;
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| 38 | <T><C>SplayNode* rt;
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| 39 | <T><C>SplayNode* par;
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| 40 | } _dummy_null;
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| 41 |
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| 42 |
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| 43 | /*
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| 44 | traversal primitives
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| 45 | */
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| 46 |
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| 47 |
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| 48 | <T><C>SplayNode* <T><C>SplayMap::leftmost()
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| 49 | {
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| 50 | <T><C>SplayNode* t = root;
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| 51 | if (t != 0) while (t->lt != 0) t = t->lt;
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| 52 | return t;
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| 53 | }
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| 54 |
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| 55 | <T><C>SplayNode* <T><C>SplayMap::rightmost()
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| 56 | {
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| 57 | <T><C>SplayNode* t = root;
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| 58 | if (t != 0) while (t->rt != 0) t = t->rt;
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| 59 | return t;
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| 60 | }
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| 61 |
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| 62 | <T><C>SplayNode* <T><C>SplayMap::succ(<T><C>SplayNode* t)
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| 63 | {
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| 64 | if (t == 0)
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| 65 | return 0;
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| 66 | if (t->rt != 0)
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| 67 | {
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| 68 | t = t->rt;
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| 69 | while (t->lt != 0) t = t->lt;
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| 70 | return t;
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| 71 | }
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| 72 | else
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| 73 | {
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| 74 | for (;;)
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| 75 | {
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| 76 | if (t->par == 0 || t == t->par->lt)
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| 77 | return t->par;
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| 78 | else
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| 79 | t = t->par;
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| 80 | }
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| 81 | }
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| 82 | }
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| 83 |
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| 84 | <T><C>SplayNode* <T><C>SplayMap::pred(<T><C>SplayNode* t)
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| 85 | {
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| 86 | if (t == 0)
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| 87 | return 0;
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| 88 | else if (t->lt != 0)
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| 89 | {
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| 90 | t = t->lt;
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| 91 | while (t->rt != 0) t = t->rt;
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| 92 | return t;
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| 93 | }
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| 94 | else
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| 95 | {
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| 96 | for (;;)
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| 97 | {
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| 98 | if (t->par == 0 || t == t->par->rt)
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| 99 | return t->par;
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| 100 | else
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| 101 | t = t->par;
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| 102 | }
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| 103 | }
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| 104 | }
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| 105 |
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| 106 |
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| 107 | Pix <T><C>SplayMap::seek(<T&> key)
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| 108 | {
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| 109 | <T><C>SplayNode* t = root;
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| 110 | if (t == 0)
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| 111 | return 0;
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| 112 |
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| 113 | int comp = <T>CMP(key, t->item);
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| 114 | if (comp == 0)
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| 115 | return Pix(t);
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| 116 |
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| 117 | <T><C>SplayNode* dummy = (<T><C>SplayNode*)(&_dummy_null);
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| 118 | <T><C>SplayNode* l = dummy;
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| 119 | <T><C>SplayNode* r = dummy;
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| 120 | dummy->rt = dummy->lt = dummy->par = 0;
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| 121 |
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| 122 | while (comp != 0)
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| 123 | {
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| 124 | if (comp > 0)
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| 125 | {
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| 126 | <T><C>SplayNode* tr = t->rt;
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| 127 | if (tr == 0)
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| 128 | break;
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| 129 | else
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| 130 | {
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| 131 | comp = <T>CMP(key, tr->item);
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| 132 | if (comp <= 0 || tr->rt == 0)
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| 133 | {
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| 134 | l->rt = t; t->par = l;
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| 135 | l = t;
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| 136 | t = tr;
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| 137 | if (comp >= 0)
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| 138 | break;
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| 139 | }
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| 140 | else
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| 141 | {
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| 142 | if ((t->rt = tr->lt) != 0) t->rt->par = t;
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| 143 | tr->lt = t; t->par = tr;
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| 144 | l->rt = tr; tr->par = l;
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| 145 | l = tr;
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| 146 | t = tr->rt;
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| 147 | comp = <T>CMP(key, t->item);
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| 148 | }
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| 149 | }
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| 150 | }
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| 151 | else
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| 152 | {
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| 153 | <T><C>SplayNode* tl = t->lt;
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| 154 | if (tl == 0)
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| 155 | break;
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| 156 | else
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| 157 | {
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| 158 | comp = <T>CMP(key, tl->item);
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| 159 | if (comp >= 0 || tl->lt == 0)
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| 160 | {
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| 161 | r->lt = t; t->par = r;
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| 162 | r = t;
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| 163 | t = tl;
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| 164 | if (comp <= 0)
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| 165 | break;
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| 166 | }
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| 167 | else
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| 168 | {
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| 169 | if ((t->lt = tl->rt) != 0) t->lt->par = t;
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| 170 | tl->rt = t; t->par = tl;
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| 171 | r->lt = tl; tl->par = r;
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| 172 | r = tl;
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| 173 | t = tl->lt;
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| 174 | comp = <T>CMP(key, t->item);
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| 175 | }
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| 176 | }
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| 177 | }
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| 178 | }
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| 179 | if ((r->lt = t->rt) != 0) r->lt->par = r;
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| 180 | if ((l->rt = t->lt) != 0) l->rt->par = l;
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| 181 | if ((t->lt = dummy->rt) != 0) t->lt->par = t;
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| 182 | if ((t->rt = dummy->lt) != 0) t->rt->par = t;
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| 183 | t->par = 0;
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| 184 | root = t;
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| 185 | return (comp == 0) ? Pix(t) : 0;
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| 186 | }
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| 187 |
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| 188 |
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| 189 | <C>& <T><C>SplayMap::operator [] (<T&> item)
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| 190 | {
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| 191 | <T><C>SplayNode* t = root;
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| 192 | if (t == 0)
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| 193 | {
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| 194 | ++count;
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| 195 | root = new <T><C>SplayNode(item, def);
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| 196 | return root->cont;
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| 197 | }
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| 198 | int comp = <T>CMP(item, t->item);
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| 199 | if (comp == 0)
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| 200 | return t->cont;
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| 201 |
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| 202 | <T><C>SplayNode* dummy = (<T><C>SplayNode*)(&_dummy_null);
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| 203 | <T><C>SplayNode* l = dummy;
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| 204 | <T><C>SplayNode* r = dummy;
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| 205 | dummy->rt = dummy->lt = dummy->par = 0;
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| 206 |
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| 207 | while (comp != 0)
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| 208 | {
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| 209 | if (comp > 0)
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| 210 | {
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| 211 | <T><C>SplayNode* tr = t->rt;
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| 212 | if (tr == 0)
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| 213 | {
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| 214 | ++count;
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| 215 | tr = new <T><C>SplayNode(item, def);
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| 216 | comp = 0;
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| 217 | }
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| 218 | else
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| 219 | comp = <T>CMP(item, tr->item);
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| 220 |
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| 221 | if (comp <= 0)
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| 222 | {
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| 223 | l->rt = t; t->par = l;
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| 224 | l = t;
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| 225 | t = tr;
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| 226 | }
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| 227 | else
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| 228 | {
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| 229 | <T><C>SplayNode* trr = tr->rt;
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| 230 | if (trr == 0)
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| 231 | {
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| 232 | ++count;
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| 233 | trr = new <T><C>SplayNode(item, def);
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| 234 | comp = 0;
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| 235 | }
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| 236 | else
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| 237 | comp = <T>CMP(item, trr->item);
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| 238 |
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| 239 | if ((t->rt = tr->lt) != 0) t->rt->par = t;
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| 240 | tr->lt = t; t->par = tr;
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| 241 | l->rt = tr; tr->par = l;
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| 242 | l = tr;
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| 243 | t = trr;
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| 244 | }
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| 245 | }
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| 246 | else
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| 247 | {
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| 248 | <T><C>SplayNode* tl = t->lt;
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| 249 | if (tl == 0)
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| 250 | {
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| 251 | ++count;
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| 252 | tl = new <T><C>SplayNode(item, def);
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| 253 | comp = 0;
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| 254 | }
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| 255 | else
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| 256 | comp = <T>CMP(item, tl->item);
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| 257 |
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| 258 | if (comp >= 0)
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| 259 | {
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| 260 | r->lt = t; t->par = r;
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| 261 | r = t;
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| 262 | t = tl;
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| 263 | }
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| 264 | else
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| 265 | {
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| 266 | <T><C>SplayNode* tll = tl->lt;
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| 267 | if (tll == 0)
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| 268 | {
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| 269 | ++count;
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| 270 | tll = new <T><C>SplayNode(item, def);
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| 271 | comp = 0;
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| 272 | }
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| 273 | else
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| 274 | comp = <T>CMP(item, tll->item);
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| 275 |
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| 276 | if ((t->lt = tl->rt) != 0) t->lt->par = t;
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| 277 | tl->rt = t; t->par = tl;
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| 278 | r->lt = tl; tl->par = r;
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| 279 | r = tl;
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| 280 | t = tll;
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| 281 | }
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| 282 | }
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| 283 | }
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| 284 | if ((r->lt = t->rt) != 0) r->lt->par = r;
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| 285 | if ((l->rt = t->lt) != 0) l->rt->par = l;
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| 286 | if ((t->lt = dummy->rt) != 0) t->lt->par = t;
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| 287 | if ((t->rt = dummy->lt) != 0) t->rt->par = t;
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| 288 | t->par = 0;
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| 289 | root = t;
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| 290 | return root->cont;
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| 291 | }
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| 292 |
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| 293 | void <T><C>SplayMap::del(<T&> key)
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| 294 | {
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| 295 | <T><C>SplayNode* t = (<T><C>SplayNode*)(seek(key));
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| 296 | if (t == 0) return;
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| 297 |
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| 298 | <T><C>SplayNode* p = t->par;
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| 299 |
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| 300 | --count;
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| 301 | if (t->rt == 0)
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| 302 | {
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| 303 | if (t == root)
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| 304 | {
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| 305 | if ((root = t->lt) != 0) root->par = 0;
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| 306 | }
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| 307 | else if (t == p->lt)
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| 308 | {
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| 309 | if ((p->lt = t->lt) != 0) p->lt->par = p;
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| 310 | }
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| 311 | else
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| 312 | if ((p->rt = t->lt) != 0) p->rt->par = p;
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| 313 | }
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| 314 | else
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| 315 | {
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| 316 | <T><C>SplayNode* r = t->rt;
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| 317 | <T><C>SplayNode* l = r->lt;
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| 318 | for(;;)
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| 319 | {
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| 320 | if (l == 0)
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| 321 | {
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| 322 | if (t == root)
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| 323 | {
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| 324 | root = r;
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| 325 | r->par = 0;
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| 326 | }
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| 327 | else if (t == p->lt)
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| 328 | {
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| 329 | p->lt = r;
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| 330 | r->par = p;
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| 331 | }
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| 332 | else
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| 333 | {
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| 334 | p->rt = r;
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| 335 | r->par = p;
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| 336 | }
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| 337 | if ((r->lt = t->lt) != 0) r->lt->par = r;
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| 338 | break;
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| 339 | }
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| 340 | else
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| 341 | {
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| 342 | if ((r->lt = l->rt) != 0) r->lt->par = r;
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| 343 | l->rt = r; r->par = l;
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| 344 | r = l;
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| 345 | l = l->lt;
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| 346 | }
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| 347 | }
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| 348 | }
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| 349 | delete t;
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| 350 | }
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| 351 |
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| 352 |
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| 353 | void <T><C>SplayMap::_kill(<T><C>SplayNode* t)
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| 354 | {
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| 355 | if (t != 0)
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| 356 | {
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| 357 | _kill(t->lt);
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| 358 | _kill(t->rt);
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| 359 | delete t;
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| 360 | }
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| 361 | }
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| 362 |
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| 363 |
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| 364 | <T><C>SplayNode* <T><C>SplayMap::_copy(<T><C>SplayNode* t)
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| 365 | {
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| 366 | if (t != 0)
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| 367 | {
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| 368 | <T><C>SplayNode* l = _copy(t->lt);
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| 369 | <T><C>SplayNode* r = _copy(t->rt);
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| 370 | <T><C>SplayNode* x = new <T><C>SplayNode(t->item, t->cont, l, r);
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| 371 | if (l != 0) l->par = x;
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| 372 | if (r != 0) r->par = x;
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| 373 | return x;
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| 374 | }
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| 375 | else
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| 376 | return 0;
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| 377 | }
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| 378 |
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| 379 |
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| 380 | int <T><C>SplayMap::OK()
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| 381 | {
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| 382 | int v = 1;
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| 383 | if (root == 0)
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| 384 | v = count == 0;
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| 385 | else
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| 386 | {
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| 387 | int n = 1;
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| 388 | <T><C>SplayNode* trail = leftmost();
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| 389 | <T><C>SplayNode* t = succ(trail);
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| 390 | while (t != 0)
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| 391 | {
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| 392 | ++n;
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| 393 | v &= <T>CMP(trail->item, t->item) < 0;
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| 394 | trail = t;
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| 395 | t = succ(t);
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| 396 | }
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| 397 | v &= n == count;
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| 398 | }
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| 399 | if (!v) error("invariant failure");
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| 400 | return v;
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| 401 | }
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