108 lines
2.2 KiB
Plaintext
108 lines
2.2 KiB
Plaintext
/* file name : polynominal.c */
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/* 利用陣列表示法做多項式相加 */
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#include <stdio.h>
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#include <stdlib.h>
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#define DUMMY -1
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void output_P(int [],int );
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void Padd(int [] ,int [] ,int [] );
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char compare(int , int );
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int main()
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{
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/* 多項式的表示方式利用只儲存非零項法
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分別儲存每一個非零項的指數及個數，
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陣列第一元素放多項式非零項個數。
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ex: 下列A多項式有3個非零項，其多項式為 :
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5x四次方 + 3x二次方 + 2 */
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int A[] = {DUMMY, 3, 4, 5, 2, 3, 0, 2};
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int B[] = {DUMMY, 3, 3, 6, 2, 2, 0, 1};
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int C[13] = {DUMMY};
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Padd( A ,B , C ); /*將A加B放至C */
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/*顯示各多項式結果*/
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printf("\nA = ");
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output_P(A, A[1]*2 +1); /*A[1]*2 + 1為陣列A的大小*/
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printf("\nB = ");
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output_P(B, B[1]*2 +1);
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printf("\nC = ");
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output_P(C, C[1]*2 +1);
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printf("\n");
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return 0;
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}
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void Padd(int a[] , int b[], int c[])
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{
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int p,q,r,m,n;
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char result;
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m = a[1]; n = b[1];
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p = q = r = 2;
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while ((p <= 2*m) && (q <= 2*n)) {
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/*比較a與b的指數*/
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result = compare ( a[p],b[q] );
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switch (result) {
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case '=' :
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c[r+1] = a[p+1] + b[q+1]; /*係數相加*/
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if (c[r+1] != 0) {
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c[r] = a[p]; /*指數assign給c */
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r+=2;
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}
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p+=2; q+=2; /*移至下一個指數位置*/
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break;
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case '>' :
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c[r+1] = a[p+1];
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c[r] = a[p];
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p+=2; r+= 2;
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break;
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case '<' :
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c[r+1] = b[q+1];
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c[r] = b[q];
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q+=2; r+= 2;
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break;
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}
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}
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/*將多項式 a 的餘項全部移至 c */
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while (p <= 2*m){
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c[r+1] = a[p+1];
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c[r] = a[p];
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p+=2; r+=2;
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}
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/*將多項式 b 的餘項全部移至 c */
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while (q <= 2*n) {
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c[r+1] = b[q+1];
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c[r] = b[q];
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q+=2; r+=2;
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}
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c[1] = r/2 - 1; /*計算c總共有多少非零項*/
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}
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char compare(int x, int y)
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{
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if (x == y)
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return '=';
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else if (x > y)
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return '>';
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else
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return '<';
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}
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void output_P(int p[], int n)
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{
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int i;
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printf("(");
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for (i = 1; i <= n; i++)
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printf("%3d",p[i]);
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printf(" )");
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}
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