?? p93_96.cpp
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#include <iostream.h> #include <stdio.h> enum Boolean { False, True }; struct Triple { int row, col; float value; }; //三元組類的定義 class Matrix; //稀疏矩陣類的前視聲明 class MatrixNode { //矩陣結點類的定義 friend class Matrix; friend istream & operator >> ( istream &, Matrix & ); //矩陣讀入 friend ostream & operator << ( ostream &, Matrix & ); private: MatrixNode *down, *right; //列/行鏈表指針 Boolean head; //結點類型 union { Triple triple; MatrixNode *next; }; //無名聯合 MatrixNode ( Boolean, Triple* ); //構造函數 }; MatrixNode::MatrixNode ( Boolean b, Triple *t ){ //構造函數 head = b; //結點類型 if ( b ) { right = next = this; } //各行/列鏈表的表頭結點 else triple = *t; //頭結點鏈表的表頭或非零元素結點 } typedef MatrixNode *MatrixNodePtr; //一個指針數組 class Matrix { //稀疏矩陣的類定義 friend istream & operator >> ( istream &, Matrix & ); friend ostream & operator << ( ostream &, Matrix & ); public: ~Matrix ( ); //析構函數 private: MatrixNode *headnode; //稀疏矩陣的表頭 }; istream & operator >> ( istream & is, Matrix & matrix ) //讀入稀疏矩陣, 建立它的鏈表表示 { Triple s; int p; is >> s.row >> s.col >> s.value; //讀入矩陣行數、列數和非零元素個數 if ( s.row > s.col ) p = s.row; //確定行/列鏈表表頭結點個數p else p = s.col; // p = max { s.row, s.col } matrix.headnode = new MatrixNode ( False, &s ); //創建表的表頭結點 if ( !p ) { matrix.headnode->right = matrix.headnode; return is; } //至少一行或一列 MatrixNodePtr *H = new MatrixNodePtr [ p ]; //初始化表頭指針數組,指向各鏈表頭 for ( int i=0; i<p; i++ ) H[i] = new MatrixNode ( True, 0 ); //指向各鏈表頭結點 int CurrentRow = 0; MatrixNode *last = H[0]; //last為當前行的最后結點指針 for ( i=0; i<s.value; i++ ) { //輸入三元組, s.value給出三元組個數 Triple t; is >> t.row >> t.col >> t.value; //輸入三元組 if ( t.row > CurrentRow ) { //行號大于當前行號,閉合當前行 last->right = H[CurrentRow]; //在行的方向向表頭結點拉鏈 CurrentRow = t.row; last = H[CurrentRow]; //當前行改變為新的一行 } last = last->right = new MatrixNode ( False, &t ); //新結點鏈入行鏈表,last跟上 H[t.col]->next = H[t.col]->next->down = last; //鏈入列鏈表,next記下該結點地址 } last->right = H[CurrentRow]; //閉合最后一行 for ( i=0; i<s.col; i++ ) H[i]->next->down = H[i]; //閉合所有列鏈表 for ( i=0; i<p-1; i++ ) H[i]->next = H[i+1]; //所有表頭結點鏈接在一起 H[p-1]->next = matrix.headnode; matrix.headnode->right = H[0]; delete [ ] H; return is; } /* if ( first != NULL ) { //鏈表不空 CircListNode<Type> *second = first->link; //循環鏈表的第二個結點 first->link = av; av = second; //第一個結點鏈接到av first = NULL; } if ( av == NULL ) newnode = new CircListNode<Type>; //可利用空間表為空,動態分配 else { newnode = av; av = av->link; } //不空,從可利用空間表分配 */ MatrixNode *av; Matrix::~Matrix ( ) { //將所有結點回收到可利用空間表中, 這個表是用right域鏈接的。av是一個具有MatrixNode* //類型的全局變量, 且指向它的前端第一個結點。 if ( headnode == NULL ) return; //空鏈表, 無法回收 MatrixNode *x = headnode->right, *y; headnode->right = av; av = headnode; //回收表頭結點的循環鏈表 while ( x != headnode ) { //按行回收各行的循環鏈表 y = x->right; x->right = av; av = y; //回收行 (循環) 鏈表 x = x->next; //下一行 } headnode = NULL; } ostream & operator << ( ostream & os, Matrix & matrix ) { MatrixNode *current = matrix.headnode , *temp; cout << "row: " << current->triple.row << endl; cout << "column: " << current->triple.col << endl; cout << "nonzero: " << current->triple.value << endl; cout << "order in column:" << endl; temp = current = current->right; for (int column = 0 ; column < matrix.headnode->triple.col; column++) { cout << "column " << column << " : " ; temp = temp->down ; while ( temp != current ) { cout << "(" << temp->triple.row << ","; cout << temp->triple.col << ","; cout << temp->triple.value << ") "; temp = temp->down; }; cout << endl; temp = current = current->next; } cout << "order in row:" << endl; temp = current = current->right; for (int row = 0; row < matrix.headnode->triple.row; row++) { cout << "row " << row << " : " ; temp = temp->right ; while ( temp != current ) { cout << "(" << temp->triple.row << ","; cout << temp->triple.col << ","; cout << temp->triple.value << ") "; temp = temp->right; }; cout << endl; temp = current = current->next; } return os; }
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