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Data_Structure/作業/exam/exam_1.cpp

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更新我的作業
2025-01-20 21:30:53 +08:00
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <string.h>
#include <ctype.h>
typedef struct node {
int coef;
int exp;
int root;
struct node* rlink;
struct node* llink;
} node;
node *head, *tail, *current, *prev, *temp ,*head_root , *current_root , *tail_root;
void init_f() {
head = (node *)malloc(sizeof(node));
tail = (node *)malloc(sizeof(node));
head->rlink = tail;
tail->llink = head;
head_root = (node *)malloc(sizeof(node));
tail_root = (node *)malloc(sizeof(node));
head_root->rlink = tail_root;
tail_root->llink = head_root;
}
void read_poly(char str[] ){
int argCount ;
while (1) {
node* newNode = (node*)malloc(sizeof(node));
argCount = sscanf(str, "%dx^%d%s", &newNode->coef, &newNode->exp, str);
if (argCount >= 2) { // <20><><EFBFBD>\Ū<><C5AA><EFBFBD>Y<EFBFBD>ƩM<C6A9><4D><EFBFBD><EFBFBD>
newNode->llink = tail->llink;
newNode->rlink = tail;
tail->llink->rlink = newNode;
tail->llink = newNode;
if (argCount == 2) {
break ;
}
} else {
if(!isdigit(newNode->coef)){
newNode->exp = 0;
newNode->llink = tail->llink;
newNode->rlink = tail;
tail->llink->rlink = newNode;
tail->llink = newNode;
break ;
}else{
// printf("newNode->coef = %d\n",newNode->coef);
// printf("isdigit(newNode->coef) = %d",isdigit(newNode->coef));
free(newNode);
break ;
}
}
}
}
void compact(char str[]){ /* <20><><EFBFBD><EFBFBD>str<74><72><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ťաA<D5A1><41><EFBFBD>ܱo<DCB1><6F><EFBFBD><EFBFBD> */
int i, j;
for (i = j = 0; str[i]; i++, j++) {
for (; str[i]==' '; i++);
str[j] = str[i];
}
str[j] = '\0';
printf("\n<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ťի᪺<EFBFBD>r<EFBFBD><EFBFBD><EFBFBD>G%s",str);
}
void clear_node(){
// <20><><EFBFBD><EFBFBD><EFBFBD>O<EFBFBD><4F><EFBFBD><EFBFBD>
current = head->rlink;
while (current != tail) {
temp = current;
current = current->rlink;
free(temp);
}
current_root = head_root->rlink;
while (current_root != tail_root) {
temp = current_root;
current_root = current_root->rlink;
free(temp);
}
free(head);
free(tail);
free(head_root);
free(tail_root);
}
void show( int n, int mode){
int i;
if(mode == 0){
printf("\n<EFBFBD><EFBFBD><EFBFBD>{<7B><>p(x)= ");
current = head->rlink;
while (current != tail) {
if(abs(current->coef)>1){
printf("%s%d", current->coef > 1? "":"\b",current->coef);
}else if(current->coef == -1){
printf("%s", current->exp == 0? "\b-1":"\b-");
}
switch(current->exp){
case 0:
if(current->coef == 1 ) printf("1+");
else printf("+");
break;
case 1:
printf("x+");
break;
default:
printf("x^%d+",current->exp);
}
current = current->rlink;
}
printf("\b ");
}else { /* mode==1<>A<EFBFBD><41><EFBFBD>ܩұo<D2B1><6F> */
current_root = head_root->rlink;
while(current_root != tail_root){
printf("%d ",current_root->root);
current_root = current_root->rlink;
}
}
}
int findRoot() /* <20><><EFBFBD>ڡA<DAA1>ұo<D2B1>Ѧs<D1A6>Jq[]<5D>A<EFBFBD>^<5E>Ǯڪ<C7AE><DAAA>Ӽ<EFBFBD> */
{
current_root = head_root->rlink;
int r, c = 0, i, j, k, sum;
int sign[2] = {1,-1};
current = tail->llink;
r = abs(current->coef); /* <20><><EFBFBD>X<EFBFBD>̧C<CCA7><43><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Y<EFBFBD><59> */
if (current->exp != 0) { /* <20>̧C<CCA7><43><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> >= 1<>A<EFBFBD>h0<68><30><EFBFBD>i<EFBFBD><69><EFBFBD><EFBFBD> */
if ((i = current->exp) > 0) {
node* newNode = (node*)malloc(sizeof(node));
newNode->root = 0; /* <20>̧C<CCA7><43><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ƴ]<5D><>i */
newNode->llink = tail_root->llink;
newNode->rlink = tail_root;
tail_root->llink->rlink = newNode;
tail_root->llink = newNode;
c = 1;
}
current = head->rlink;
while(current!=tail){
current->exp -= i; /* <20>Ҧ<EFBFBD><D2A6><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ƴ<EFBFBD><C6B4>hi */
current = current->rlink;
}
}
// r = abs(p[2*p[0]]); /* <20><><EFBFBD>X<EFBFBD>̧C<CCA7><43><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Y<EFBFBD><59> */
for (i = 1; i <= r; i++) { /* <20>Ҽ{<7B><><EFBFBD>㰣r<E3B0A3><72><EFBFBD>]<5D><>i<EFBFBD>A<EFBFBD><41><EFBFBD>`<60>N<EFBFBD><4E><EFBFBD>t<EFBFBD><74> */
if (r%i != 0) continue; /* <20><><EFBFBD><EFBFBD><EFBFBD>㰣r<E3B0A3><72>i<EFBFBD>N<EFBFBD><4E><EFBFBD>L<EFBFBD>A<EFBFBD>~<7E><><EFBFBD>Ҽ{<7B>U<EFBFBD>@<40><>i */
for (j = 0; j < 2; j++) { /* j<><6A>0<EFBFBD>A<EFBFBD>N<EFBFBD><4E><EFBFBD>Ҽ{+i<><69><EFBFBD><EFBFBD><EFBFBD>ҡFj<46><6A>1<EFBFBD>A<EFBFBD>N<EFBFBD><4E><EFBFBD>Ҽ{-i<><69><EFBFBD><EFBFBD><EFBFBD>p */
for (sum = 0, current = head->rlink ; current!= tail ; current = current->rlink) /* <20>p<EFBFBD><70><EFBFBD>C<EFBFBD>@<40><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>G<EFBFBD><47>(<28>Y<EFBFBD><59>*x^<5E><><EFBFBD><EFBFBD>)<29>ò֥[<5B><>sum<75><6D><EFBFBD><EFBFBD> */
sum += current->coef *(int)(pow(sign[j]*i,current->exp));
if (sum == 0) {
node* newNode = (node*)malloc(sizeof(node));
newNode->root = sign[j]*i; /* bingo! <20>o<EFBFBD>{<7B>X<EFBFBD>G<EFBFBD><47><EFBFBD>󪺾<EFBFBD><F3AABABE>ƮڡA<DAA1>N<EFBFBD><4E><EFBFBD>g<EFBFBD>Jq<4A>}<7D>C */
newNode->llink = tail_root->llink;
newNode->rlink = tail_root;
tail_root->llink->rlink = newNode;
tail_root->llink = newNode;
c = 1;
}
}
}
return c;
}
void sort(){
//<2F>Y<EFBFBD>S<EFBFBD><53><EFBFBD><EFBFBD><EFBFBD>ƩΥu<CEA5><75><EFBFBD>@<40><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
if (head->rlink == tail || head->rlink->rlink == tail) {
return;
}
int flag = 1;
while(flag){
flag = 0;
current = head->rlink;
while(current->rlink != tail){
temp = current->rlink;
if(current->exp < temp->exp ){
temp->llink = current->llink;
current->rlink = temp->rlink;
temp->rlink->llink = current;
temp->rlink = current;
current->llink->rlink = temp;
current->llink = temp;
flag = 1;
}
else{
current = current->rlink;
}
}
}
}
int main() {
char str[100];
int poly_num ,c , high;
init_f();
printf("\n*** <20>Ѧh<D1A6><68><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ʈ<EFBFBD> ***\n\n<EFBFBD><EFBFBD><EFBFBD>J<EFBFBD>h<EFBFBD><EFBFBD><EFBFBD><EFBFBD> ==> ");
if (fgets(str, sizeof(str), stdin) == NULL) {
printf("<EFBFBD><EFBFBD><EFBFBD>J<EFBFBD><EFBFBD><EFBFBD>~<7E>I\n");
return 1;
}
compact(str);
read_poly(str);
sort();
current = head->rlink;
high= current->exp;
show(c,0);
c = findRoot();
if (c > 0) {
printf("\n\n<EFBFBD>ѱo<EFBFBD><EFBFBD><EFBFBD>Ʈڬ<EFBFBD><EFBFBD>G");
show(c,1);
}
else
printf("\n\n<EFBFBD><EFBFBD><EFBFBD>Ʈڤ<EFBFBD><EFBFBD>s<EFBFBD>b\n");
clear_node();
return 0;
}
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