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| #include <stdio.h> #include <stdlib.h>
#define MAX_TERMS 100
typedef struct { float coef; int exp; } Term;
typedef struct { Term terms[MAX_TERMS]; int size; } Polynomial;
void initPolynomial(Polynomial *p) { p->size = 0; }
void insertTerm(Polynomial *p, float coef, int exp) { if (coef == 0) return; int i = 0; while (i < p->size && p->terms[i].exp > exp) i++;
if (i < p->size && p->terms[i].exp == exp) { p->terms[i].coef += coef; if (p->terms[i].coef == 0) { for (int j = i; j < p->size - 1; j++) { p->terms[j] = p->terms[j + 1]; } p->size--; } } else { for (int j = p->size; j > i; j--) { p->terms[j] = p->terms[j - 1]; } p->terms[i].coef = coef; p->terms[i].exp = exp; p->size++; } }
void printPolynomial(Polynomial *p) { if (p->size == 0) { printf("0\n"); return; } for (int i = 0; i < p->size; i++) { if (i > 0 && p->terms[i].coef > 0) printf("+"); printf("%f * x^%d", p->terms[i].coef, p->terms[i].exp); } printf("\n"); }
void addPolynomial(Polynomial *p1, Polynomial *p2, Polynomial *result) { initPolynomial(result); int i = 0, j = 0; while (i < p1->size && j < p2->size) { if (p1->terms[i].exp > p2->terms[j].exp) { insertTerm(result, p1->terms[i].coef, p1->terms[i].exp); i++; } else if (p1->terms[i].exp < p2->terms[j].exp) { insertTerm(result, p2->terms[j].coef, p2->terms[j].exp); j++; } else { insertTerm(result, p1->terms[i].coef + p2->terms[j].coef, p1->terms[i].exp); i++; j++; } } while (i < p1->size) insertTerm(result, p1->terms[i].coef, p1->terms[i].exp), i++; while (j < p2->size) insertTerm(result, p2->terms[j].coef, p2->terms[j].exp), j++; }
void subtractPolynomial(Polynomial *p1, Polynomial *p2, Polynomial *result) { initPolynomial(result); int i = 0, j = 0; while (i < p1->size && j < p2->size) { if (p1->terms[i].exp > p2->terms[j].exp) { insertTerm(result, p1->terms[i].coef, p1->terms[i].exp); i++; } else if (p1->terms[i].exp < p2->terms[j].exp) { insertTerm(result, -p2->terms[j].coef, p2->terms[j].exp); j++; } else { insertTerm(result, p1->terms[i].coef - p2->terms[j].coef, p1->terms[i].exp); i++; j++; } }
while (i < p1->size) insertTerm(result, p1->terms[i].coef, p1->terms[i].exp), i++; while (j < p2->size) insertTerm(result, -p2->terms[j].coef, p2->terms[j].exp), j++; }
void multiplyPolynomial(Polynomial *p1, Polynomial *p2, Polynomial *result) { initPolynomial(result); for (int i = 0; i < p1->size; i++) { for (int j = 0; j < p2->size; j++) { int coef = p1->terms[i].coef * p2->terms[j].coef; int exp = p1->terms[i].exp + p2->terms[j].exp; insertTerm(result, coef, exp); } } } int main() { Polynomial p1, p2, sum, diff, product;
initPolynomial(&p1); initPolynomial(&p2);
printf("请输入第一个多项式的项数"); int n; scanf("%d", &n); for (int i = 0; i < n; i++) { float coef; int exp; printf("请输入第%d项的系数和指数", i + 1); scanf("%f%d", &coef, &exp); insertTerm(&p1, coef, exp); }
printf("请输入第二个多项式的项数"); int m; scanf("%d", &m); for (int i = 0; i < m; i++) { float coef; int exp; printf("请输入第%d项的系数和指数", i + 1); scanf("%f%d", &coef, &exp); insertTerm(&p2, coef, exp); }
printf("P1: "); printPolynomial(&p1); printf("P2: "); printPolynomial(&p2);
addPolynomial(&p1, &p2, &sum); printf("P1 + P2: "); printPolynomial(&sum);
subtractPolynomial(&p1, &p2, &diff); printf("P1 - P2: "); printPolynomial(&diff);
multiplyPolynomial(&p1, &p2, &product); printf("P1 * P2: "); printPolynomial(&product); return 0; }
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