117 lines
2.9 KiB
C++
117 lines
2.9 KiB
C++
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It evaluates the value of any polynomial of any degree, adds two poly
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and also multiplies them
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Code :
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/*evaluates, adds ,multiplies two polynomials p & f to evaluate poly of
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deg > 20 manipulate const in size */
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#include <iostream.h>
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using namespace std ;
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void polyadd(float*a,int dega,float*b,int degb,float*sum)
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{int i ;
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if(dega>=degb)
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{for (i=0;i<=dega;i++)
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sum[i]=a[i]+b[i] ;}
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if(degb >dega)
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{for(i=0;i<=degb;i++)
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sum[i]= a[i]+b[i] ; }
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}
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//********************************************
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/*void polymult(float*a,int dega,float*b,int degb,float*mult)
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{int i,j;
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if(dega<=degb)
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for(i=0;i<=degb;i++)
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{for(j=0;j<=i;j++)
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mult[i]= mult[i] + a[j]*b[i-j] ;
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mult[i] = mult[i] +a[i+1]*b[i+1] ; }
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//mult[i] = mult[i] - a[0]*b[0] ; }
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if (degb<dega)
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{for(i=0;i<=dega;i++)
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for(j=0;j<=i;j++)
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mult[i]= mult[i] +a[j]*b[i-j];
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mult[i] = mult[i] +a[i+1]*b[i+1] ;} }*/
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//********************************************************
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double power(float*a,int n,float x)
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{float val=0,prod=1 ;
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int i ;
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for(i=0;i<=n;i++)
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{val = val+a[i]*prod;
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prod = prod*x ;}
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return val ; }
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//********************************************************
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double power(float*a,int n,float x);
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main()
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{const int size=20 ;
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int deg,j ;
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float a[size], x ;
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for(j=0;j<=size-1;j++)
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a[j] = 0.0 ;
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double ans ;
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cout<<"give the degree of the polynomiala "<<endl ;
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cin>>deg ;
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if(deg<0)
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cout<<"go learn ur textbook"<<endl ;
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if(deg>=0)
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{
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cout<<"give the value of the coefficients"<<endl ;
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for (j=0;j<=deg;j++)
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cin>>a[j] ;
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cout<<"give the value x"<<endl ;
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cin>>x ;
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ans = power(a,deg,x);
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cout<<"the value of p("<<x<<") = "<<ans <<endl ;
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}
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float b[size],sum[size],mult[size],y ;
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for(j=0;j<=size-1;j++)
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b[j] = sum[j] = mult[j] = 0 ;
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int dega,degb ;
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dega = deg ;
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/*cout<<"give the value of the coefficients"<<endl ;
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for (j=0;j<=dega;j++)
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cin>>a[j]; */
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cout<<" give in the degree of poly b"<<endl ;
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cin>>degb ;
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cout<<"enter the values of the coefficient of polynomialb"<<endl ;
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for(j=0;j<=degb;j++)
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cin>>b[j] ;
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cout<<"give the value to be substituted in polynomialb"<<endl ;
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cin>>y ;
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ans = power(b,degb,y) ;
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cout<<"the value of f("<<y<<") ="<<ans<< endl ;
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cout<<"the value of f("<<x<<") ="<<power(b,degb,x)<<endl ;
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string decision ;
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cout<<"to you want to add or multiply a and b(type a or m) "<<endl ;
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cin>>decision ;
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if(decision =="a")
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{ polyadd(a,dega,b,degb,sum);
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if (dega>=degb)
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{ans= power(sum,dega,x);
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cout<<"the answer after addition of p("<<x<<") +f("<<x<<")
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="<<ans<<endl
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;}
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if(degb>dega)
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{ans = power(sum,degb,x) ;
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cout<<"the answer after addition of p("<<x<<") +f("<<x<<")
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="<<ans<<endl
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; }}
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if (decision=="m")
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//{polymult(a,dega,b,degb,mult);
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//if (dega>=degb)
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{ans= power(a,dega,x)*power(b,degb,y) ;
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//cout<<"the answer of multiplication"<<ans<<endl ;}
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//if (degb>dega)
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//{ ans = power(mult,degb,x) ;
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cout<<"the answer after multiplication of p("<<x<<") *f("<<y<<")
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="<<ans<<endl ;}
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return 0 ;}
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