88 lines
3.6 KiB
C
88 lines
3.6 KiB
C
|
/*
|
|||
|
|
Program: poly-integer-root-v1.c (Report comments/bugs to chikh@yuntech.edu.tw)
|
|||
|
|
Function: <EFBFBD>ĤG<EFBFBD>椸<EFBFBD><EFBFBD><EFBFBD>q<EFBFBD><EFBFBD>21<EFBFBD><EFBFBD><EFBFBD>m<EFBFBD><EFBFBD>
|
|||
|
|
Note: <EFBFBD>w<EFBFBD><EFBFBD><EFBFBD>h<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ܤ覡<EFBFBD>A<EFBFBD><EFBFBD><EFBFBD>{<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Įѥ<EFBFBD>polynomial.c<EFBFBD><EFBFBD><EFBFBD>覡<EFBFBD>ɤJDummy<EFBFBD>F<EFBFBD><EFBFBD><EFBFBD>{<EFBFBD><EFBFBD><EFBFBD>i<EFBFBD>ܤ@<EFBFBD>ӹ<EFBFBD><EFBFBD>@<EFBFBD>覡<EFBFBD>A
|
|||
|
|
<EFBFBD><EFBFBD><EFBFBD>ϥ<EFBFBD>Dummy<EFBFBD><EFBFBD><EFBFBD>i<EFBFBD><EFBFBD><EFBFBD>ĹB<EFBFBD>@<EFBFBD>A<EFBFBD>ѦP<EFBFBD>ǰѦҹB<EFBFBD><EFBFBD>
|
|||
|
|
*/
|
|||
|
|
|
|||
|
|
#include <stdio.h>
|
|||
|
|
#include <stdlib.h> /* for malloc(), abs() */
|
|||
|
|
#include <math.h> /* for pow() */
|
|||
|
|
|
|||
|
|
int findRoot(int p[], int q[]) /* p<>G<EFBFBD><47><EFBFBD>J<EFBFBD><4A><EFBFBD>h<EFBFBD><68><EFBFBD><EFBFBD><EFBFBD>Fq<46>G<EFBFBD>D<EFBFBD>o<EFBFBD><6F><EFBFBD><EFBFBD><EFBFBD>Ʈ<EFBFBD> */
|
|||
|
|
{
|
|||
|
|
int r, c = 0, i, j, k, sum;
|
|||
|
|
int sign[2] = {1,-1};
|
|||
|
|
|
|||
|
|
if (p[2*p[0]]%p[2] != 0) return 0; /* <20>h<EFBFBD><68><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>`<60>ƶ<EFBFBD><C6B6>Y<EFBFBD><59><EFBFBD><EFBFBD><EFBFBD>Q<EFBFBD>̰<EFBFBD><CCB0><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Y<EFBFBD>ƾ㰣(Ĵ<>p2x^2 - 3 = 0)<29>A<EFBFBD>h<EFBFBD><68><EFBFBD>s<EFBFBD>b<EFBFBD><62><EFBFBD>Ƹ<EFBFBD> */
|
|||
|
|
|
|||
|
|
r = abs(p[2*p[0]]/p[2]); /* r<>G<EFBFBD><47><EFBFBD>M<EFBFBD><4D><EFBFBD>h<EFBFBD><68><EFBFBD><EFBFBD><EFBFBD>Y<EFBFBD>ƪ<EFBFBD><C6AA>]<5D>ơA<C6A1>ت<EFBFBD><D8AA>O<EFBFBD>̰<EFBFBD><CCB0><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Y<EFBFBD><59>²<EFBFBD>Ƭ<EFBFBD><C6AC><EFBFBD>1<EFBFBD>ӱ`<60>ƶ<EFBFBD>²<EFBFBD>Ƭ<EFBFBD><C6AC><EFBFBD>r<EFBFBD>A<EFBFBD>H<EFBFBD>Q<EFBFBD><51><EFBFBD><EFBFBD><EFBFBD>B<EFBFBD><42> */
|
|||
|
|
for (i = 1; i <= r; i++) { /* <20>Ҽ{r<><72><EFBFBD>Ҧ<EFBFBD><D2A6>]<5D><>i<EFBFBD>A<EFBFBD>Yi<59><69><EFBFBD>n<EFBFBD><6E><EFBFBD>O<EFBFBD>h<EFBFBD><68><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ƭ<EFBFBD>0<EFBFBD>A<EFBFBD>h<EFBFBD>Ӧ]<5D><>i<EFBFBD>Y<EFBFBD><59><EFBFBD>ҨD<D2A8>Ѥ<EFBFBD><D1A4>@ */
|
|||
|
|
if (r%i != 0) continue; /* <20><>i<EFBFBD>L<EFBFBD>k<EFBFBD>㰣r<E3B0A3>Ai<41><69><EFBFBD>Or<4F><72><EFBFBD>]<5D>ơA<C6A1>G<EFBFBD><47><EFBFBD>L<EFBFBD>A<EFBFBD>~<7E><><EFBFBD>Ҽ{<7B>U<EFBFBD>@<40><>i */
|
|||
|
|
for (j = 0; j < 2; j++) { /* <20>ɤJ<C9A4><4A>2<EFBFBD>^<5E>X<EFBFBD><58><EFBFBD>j<EFBFBD><6A><EFBFBD>Y<EFBFBD>]<5D><>i<EFBFBD><69><EFBFBD>i<EFBFBD><69><EFBFBD>O<EFBFBD>ѡAj<41><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, k = 1; k <= 2*p[0]; k+=2) /* <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 += p[k+1]*(int)(pow(sign[j]*i,p[k])); /* <20><>i<EFBFBD><69><EFBFBD>ȥHsign[j]*i<><69><EFBFBD>{<7B>A<EFBFBD>N<EFBFBD>J<EFBFBD>h<EFBFBD><68><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>D<EFBFBD><44><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> */
|
|||
|
|
if (sum == 0) q[c++] = 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<EFBFBD><43> */
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
return c; /* <20>^<5E>ǸѪ<C7B8><D1AA>Ӽ<EFBFBD> */
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
void show(int p[], int n, int mode) /* <20><><EFBFBD>J<EFBFBD><4A>p<EFBFBD>}<7D>C<EFBFBD>i<EFBFBD><69><EFBFBD>y<EFBFBD>z<EFBFBD>h<EFBFBD><68><EFBFBD><EFBFBD><EFBFBD>A<EFBFBD>]<5D>i<EFBFBD><69><EFBFBD>N<EFBFBD><4E><EFBFBD><EFBFBD><EFBFBD>Ʈڪ<C6AE><DAAA><EFBFBD><EFBFBD>e<EFBFBD>A<EFBFBD>N<EFBFBD><4E>mode<64>Ϥ<EFBFBD><CFA4>t<EFBFBD><74><EFBFBD>ƪ<EFBFBD><C6AA>B<EFBFBD>z<EFBFBD>覡 */
|
|||
|
|
{
|
|||
|
|
int i;
|
|||
|
|
|
|||
|
|
if (mode == 0) { /* mode<64><65>0<EFBFBD>A<EFBFBD>N<EFBFBD><4E>p<EFBFBD>N<EFBFBD>Q<EFBFBD><51>Ū<EFBFBD><C5AA><EFBFBD>h<EFBFBD><68><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>y<EFBFBD>z<EFBFBD><7A><EFBFBD>T<EFBFBD>A<EFBFBD>N<EFBFBD><4E><EFBFBD>ܸӦh<D3A6><68><EFBFBD><EFBFBD> */
|
|||
|
|
printf("<EFBFBD><EFBFBD><EFBFBD>{<7B><>p(x)= ");
|
|||
|
|
for (i = 1; i <= n; i += 2) {
|
|||
|
|
if (abs(p[i+1])>1) /* <20><><EFBFBD>Y<EFBFBD>Ƥ<EFBFBD><C6A4><EFBFBD><EFBFBD><EFBFBD>1 */
|
|||
|
|
printf("%s%d",p[i+1]>1? "":"\b", p[i+1]); /* <20>Y<EFBFBD>Y<EFBFBD><59>>1<>A<EFBFBD>i<EFBFBD><69><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ܫY<DCAB>ƭȡF<C8A1>Y<EFBFBD>Y<EFBFBD>Ƭ<EFBFBD><C6AC>t<EFBFBD>A<EFBFBD>h<EFBFBD><68><EFBFBD>Э˰h<CBB0>@<40><><EFBFBD>A<EFBFBD><41><EFBFBD>ܫY<DCAB>ƭ<EFBFBD>(<28><><EFBFBD>e<EFBFBD>ɪ<EFBFBD>'+'<27><><EFBFBD>) */
|
|||
|
|
else if (p[i+1]==-1) /* <20><><EFBFBD>Y<EFBFBD>Ƭ<EFBFBD>-1 */
|
|||
|
|
printf("\b-"); /* <20><><EFBFBD>Э˰h<CBB0>@<40><><EFBFBD>A<EFBFBD>H<EFBFBD><48><EFBFBD>ȦA<C8A6><41><EFBFBD><EFBFBD>'-'<27><><EFBFBD>Y<EFBFBD>i(<28>e<EFBFBD>ɪ<EFBFBD>'+'<27><><EFBFBD>)(<28><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ܬ<EFBFBD>'-1') */
|
|||
|
|
/* <20><><EFBFBD>Y<EFBFBD>ƭY<C6AD><59>1<EFBFBD>A<EFBFBD>h<EFBFBD><68><EFBFBD><EFBFBD><EFBFBD>B<EFBFBD>~<7E>ʧ@<40>F<EFBFBD>O<EFBFBD>d<EFBFBD>e<EFBFBD>ɪ<EFBFBD>'+'<27>A<EFBFBD><41><EFBFBD>ݥt<DDA5>@<40><><EFBFBD><EFBFBD> */
|
|||
|
|
switch(p[i]) { /* switch<63>[<5B>c<EFBFBD>B<EFBFBD>z<EFBFBD>C<EFBFBD>Ӷ<EFBFBD><D3B6><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ƪ<EFBFBD><C6AA><EFBFBD><EFBFBD><EFBFBD> */
|
|||
|
|
case 0: /* <20>Ӷ<EFBFBD><D3B6><EFBFBD><EFBFBD>Ƭ<EFBFBD>0<EFBFBD>A<EFBFBD>N<EFBFBD><4E><EFBFBD>`<60>ƶ<EFBFBD><C6B6>A<EFBFBD><41><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>x^0<>A<EFBFBD>G<EFBFBD><47><EFBFBD><EFBFBD><EFBFBD><EFBFBD>'+'<27><><EFBFBD>A<EFBFBD><41><EFBFBD>U<EFBFBD>@<40><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>X<EFBFBD>@<40>dz<EFBFBD> */
|
|||
|
|
printf("+");
|
|||
|
|
break;
|
|||
|
|
case 1:
|
|||
|
|
printf("x+"); /* <20>Ӷ<EFBFBD><D3B6><EFBFBD><EFBFBD>Ƭ<EFBFBD>1<EFBFBD>A<EFBFBD><41><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>x^1<>A<EFBFBD>G<EFBFBD><47><EFBFBD><EFBFBD><EFBFBD><EFBFBD>'x+'<27>A<EFBFBD><41><EFBFBD>U<EFBFBD>@<40><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>X<EFBFBD>@<40>dz<EFBFBD> */
|
|||
|
|
break;
|
|||
|
|
default:
|
|||
|
|
printf("x^%d+",p[i]); /* <20><><EFBFBD><EFBFBD>x^n+<2B>Φ<EFBFBD><CEA6>A<EFBFBD><41><EFBFBD>U<EFBFBD>@<40><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>X<EFBFBD>@<40>dz<EFBFBD> */
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
printf("\b "); /* <20>̫<EFBFBD><CCAB>h<EFBFBD>l<EFBFBD><6C>'+'<27><><EFBFBD>H<EFBFBD>ťն */
|
|||
|
|
}
|
|||
|
|
else { /* mode<64><65>1<EFBFBD>A<EFBFBD>N<EFBFBD><4E>p<EFBFBD>N<EFBFBD>Q<EFBFBD><51>Ū<EFBFBD><C5AA><EFBFBD>h<EFBFBD><68><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڡA<DAA1>N<EFBFBD><4E><EFBFBD>ܮڪ<DCAE><DAAA><EFBFBD><EFBFBD>e */
|
|||
|
|
for (i = 0; i < n; i++) printf("%d<>B",p[i]); /* <20>C<EFBFBD>q<EFBFBD>X<EFBFBD>@<40>ӮڡA<DAA1><41><EFBFBD><EFBFBD><EFBFBD>t<EFBFBD><74><EFBFBD>ܹy<DCB9><79> */
|
|||
|
|
if (n > 0) printf("\b\b "); /* <20>̫<EFBFBD><CCAB><EFBFBD><EFBFBD>ܦh<DCA6>l<EFBFBD><6C><EFBFBD>y<EFBFBD><79><EFBFBD>H<EFBFBD><48><EFBFBD>Э˰h<CBB0>G<EFBFBD>檺<EFBFBD>覡<EFBFBD><E8A6A1><EFBFBD>H<EFBFBD>ťն */
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
int main()
|
|||
|
|
{
|
|||
|
|
int p[] = {4,3,1,2,-2,1,-1,0,2};
|
|||
|
|
//int p[] = {4,3,3,2,-6,1,-3,0,6};
|
|||
|
|
//int p[] = {2,2,1,0,-100};
|
|||
|
|
//int p[] = {4,3,1,2,-7,1,4,0,12};
|
|||
|
|
//int p[] = {5,4,1,3,3,2,-66,1,52,0,120};
|
|||
|
|
//int p[] = {5,4,3,3,9,2,-198,1,156,0,360};
|
|||
|
|
int c, *q = (int *)malloc(p[1]*sizeof(int)); /* p[1]<5D><><EFBFBD><EFBFBD><EFBFBD>̰<EFBFBD><CCB0><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ơA<C6A1>̦<EFBFBD><CCA6>ȳЫب<D0AB><D8A8><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ŷ<EFBFBD><C5B6><EFBFBD><EFBFBD>}<7D>C<EFBFBD>s<EFBFBD><73><EFBFBD>ҨD<D2A8>o<EFBFBD><6F><EFBFBD><EFBFBD><EFBFBD>Ʈ<EFBFBD> */
|
|||
|
|
/* c: <20>D<EFBFBD>o<EFBFBD><6F><EFBFBD><EFBFBD><EFBFBD>Ʈڪ<C6AE><DAAA>ӼơA<C6A1>N<EFBFBD><4E><EFBFBD><EFBFBD>findRoot()<29>^<5E>Ǫ<EFBFBD><C7AA>ڭӼơF
|
|||
|
|
q: <EFBFBD>s<EFBFBD><EFBFBD><EFBFBD>D<EFBFBD>o<EFBFBD>کҥΰ}<EFBFBD>C<EFBFBD>A<EFBFBD>ڪ<EFBFBD><EFBFBD>ӼƳ̦h<EFBFBD>P<EFBFBD>h<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>̰<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ƬۦP<EFBFBD>A<EFBFBD>Hp<EFBFBD><EFBFBD><EFBFBD>ݩʰʺA<EFBFBD>t<EFBFBD>m<EFBFBD>һݰO<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ŷ<EFBFBD> */
|
|||
|
|
|
|||
|
|
printf("\n*** <20>Ѧh<D1A6><68><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ʈ<EFBFBD> ***\n\n");
|
|||
|
|
show(p,2*p[0],0); /* <20>q<EFBFBD>X<EFBFBD>Hp<48>y<EFBFBD>z<EFBFBD><7A><EFBFBD>h<EFBFBD><68><EFBFBD><EFBFBD><EFBFBD>A2*p[0]<5D>N<EFBFBD><4E><EFBFBD>y<EFBFBD>z<EFBFBD>D<EFBFBD>s<EFBFBD><73><EFBFBD>ҥΪ<D2A5><CEAA>ƭȭӼơA<C6A1>ĤT<C4A4><EFBFBD>0<EFBFBD><30><EFBFBD><EFBFBD><EFBFBD>X<EFBFBD>Ҧ<EFBFBD>(<28>Ԩ<EFBFBD><D4A8><EFBFBD><EFBFBD>Ushow()<29><><EFBFBD>w<EFBFBD>q) */
|
|||
|
|
c = findRoot(p,q); /* <20><><EFBFBD><EFBFBD><EFBFBD>D<EFBFBD>ڵ{<7B>ǡA<C7A1><41><EFBFBD>Jp<4A>Ҵy<D2B4>z<EFBFBD><7A><EFBFBD>h<EFBFBD><68><EFBFBD><EFBFBD><EFBFBD>Aq<41>N<EFBFBD><4E><EFBFBD><EFBFBD><EFBFBD>D<EFBFBD>o<EFBFBD><6F><EFBFBD>ڡAfindRoot()<29>^<5E>DzŦX<C5A6><58><EFBFBD>ڭӼ<DAAD> */
|
|||
|
|
if (c > 0) {
|
|||
|
|
printf("\n\n<EFBFBD>ѱo<EFBFBD><EFBFBD><EFBFBD>Ʈڬ<EFBFBD><EFBFBD>G");
|
|||
|
|
show(q,c,1); /* <20>q<EFBFBD>Xq<58><71><EFBFBD><EFBFBD><EFBFBD>e<EFBFBD>Ac<41><63><EFBFBD>ڪ<EFBFBD><DAAA>ӼơA<C6A1>ĤT<C4A4><EFBFBD>1<EFBFBD>N<EFBFBD><4E><EFBFBD>I<EFBFBD>sshow()<29>B<EFBFBD><42><EFBFBD>һݪ<D2BB><DDAA>u<EFBFBD>@<40>Ҧ<EFBFBD> */
|
|||
|
|
}
|
|||
|
|
else
|
|||
|
|
printf("\n\n<EFBFBD><EFBFBD><EFBFBD>Ʈڤ<EFBFBD><EFBFBD>s<EFBFBD>b\n");
|
|||
|
|
|
|||
|
|
free(q);
|
|||
|
|
return 0;
|
|||
|
|
}
|