/***********************************
*
* Filename: poly.c
*
*
************************************/
#include "poly.h"
/*
Initialize all coefficients and exponents of the polynomial to zero.
*/
void init_polynom( int coeff[ ], int exp[ ] )
{
/* ADD YOUR CODE HERE */
} /* end init_polynom */
/*
Get inputs from user using scanf() and store them in the polynomial.
*/
void get_polynom( int coeff[ ], int exp[ ] )
{
/* ADD YOUR CODE HERE */
} /* end get_polynom */
/*
Convert the polynomial to a string s.
*/
void polynom_to_string( int coeff[ ], int exp[ ], char s[ ] )
{
/* ADD YOUR CODE HERE */
} /* end polynom_to_string */
/*
Evaluate the polynomial for the value of x and store the result p(x) in variable result.
*/
void eval_polynom( int coeff[ ], int exp[ ], double x, double *result )
{
/* ADD YOUR CODE HERE */
} /* end eval_polynom */
/*
Add two polynomials and the result is stored in the first polynomial (arrays co1[] and ex1[]).
*/
void add_polynom( int co1[ ], int ex1[ ], int co2[ ], int ex2[ ] )
{
/* ADD YOUR CODE HERE */
} /* end add_ polynom */
/************************** END OF FILE ***************************/
/*********************************** * * Filename: poly.h * ************************************/ #include <stdio.h> #define ASIZE 50
/************************** END OF FILE ***************************/
/***********************************
*
* Filename: polyMain.c
*
************************************/
#include "poly.h"
int main()
{
int coeff1[ASIZE], exp1[ASIZE], coeff2[ASIZE], exp2[ASIZE];
char strg[ASIZE*5];
double x, y;
do
{
init_polynom( coeff1, exp1 );
get_polynom( coeff1, exp1 );
polynom_to_string( coeff1, exp1, strg );
printf( "%s\n", strg);
init_polynom( coeff2, exp2 );
get_polynom( coeff2, exp2 );
polynom_to_string( coeff2, exp2, strg );
printf( "%s\n", strg);
add_polynom( coeff1, exp1, coeff2, exp2 );
polynom_to_string( coeff1, exp1, strg );
printf( "%s\n\n", strg);
}
while ( coeff1[0] );
polynom_to_string( coeff2, exp2, strg );
printf( "%s\n", strg);
do {
scanf( "%lf", &x ); /* to input a double use "%lf", not "%f" */
eval_polynom( coeff2, exp2, x, &y );
printf( "p(%.4lf) = %.4lf \n", x, y );
}
while ( x );
return 0; /* normal termination */
}
/************************** END OF FILE ***************************/
/*********************************** * * Filename: poly_in.txt * ************************************/
3 12 5 -5 2 20 0 5 -3 7 4 5 -7 3 10 2 9 0 3 -4 5 -10 2 20 0 5 -3 7 4 5 -7 3 10 2 9 0 0 6 17291 7 42 5 -7098 3 -1 2 8 1 -9 0 1 1 0 10 1 64 2 50 3 32 4 25 -5 20 6 18 7 15 8 10 -9 1 10 0 2 1 10 1 0 3 1 200 1 45 -1 0 4 -3 3 -2 2 -1 1 -1 0 4 3 3 2 2 1 1 1 0 1.0 2.0 3.0 -2.0 2.55 100.0 7.99492 0.0
/*********************************** * * Filename: poly_Out.txt * ************************************/
12x^5-5x^2+20
-3x^7+4x^5-7x^3+10x^2+9 -3x^7+16x^5-7x^3+5x^2+29 -4x^5-10x^2+20 -3x^7+4x^5-7x^3+10x^2+9 -3x^7-7x^3+29 0 17291x^7+42x^5-7098x^3-x^2+8x-9 17291x^7+42x^5-7098x^3-x^2+8x-9 1 x^64+2x^50+3x^32+4x^25-5x^20+6x^18+7x^15+8x^10-9x+10 x^64+2x^50+3x^32+4x^25-5x^20+6x^18+7x^15+8x^10-9x+11 x^10+1 x^200+x^45-1 x^200+x^45+x^10 -3x^3-2x^2-x-1 3x^3+2x^2+x+1 0 3x^3+2x^2+x+1 p(1.0000) = 7.0000 p(2.0000) = 35.0000 p(3.0000) = 103.0000 p(-2.0000) = -17.0000 p(2.5500) = 66.2991 p(100.0000) = 3020101.0000 p(7.9949) = 1669.9082 p(0.0000) = 1.0000
Homework Answers
#include<stdio.h>
#include<math.h>
#include<stdlib.h>
/* Initialize all coefficients and exponents of the polynomial
to zero. */
void init_polynom(int coeff[],int exp[])
{
int i;
for(i=0;i<100;i++)
{
coeff[i]=0;
exp[i]=0;
}
}
/* Get inputs from user using scanf() and store them in the
polynomial. */
void get_polynom(int coeff[],int exp[])
{
int i,n;
scanf("%d",&n);
for(i=0;i<n;i++)
{
scanf("%d
%d",&coeff[i],&exp[i]);
}
}
int addValueIntoString(char s[],int k,int value)
{
int temp=value,count=0;
while(temp>=10)
{
temp=temp/10;
count++;
}
int tens=(int)(pow(10,count));
while(tens>0)
{
int digit=value/tens;
s[k++]=(char)(digit+48);
value=value%tens;
tens=tens/10;
}
return k;
}
/* Convert the polynomial to a string s. */
void polynom_to_string(int coeff[],int exp[],char s[])
{
int i,k=0;
// k is
the variable that points to index in s[]
for(i=0;i<100;i++)
{
if(coeff[i]<0)
s[k++]='-';
// if
number is -ve, then '-' is added into s[]
int
value=abs(coeff[i]);
// adding the coeff into s[]
if(value>1)
k=addValueIntoString(s,k,value);
if(exp[i]!=0)
{
s[k++]='x';
s[k++]='^';
k=addValueIntoString(s,k,exp[i]); // adding the exp
into s[]
}
if(i+1<100 &&
coeff[i+1]>0)
s[k++]='+';
}
s[k++]='\0';
}
/* Evaluate the polynomial for the value of x and store the
result p(x) in variable result. */
void eval_polynom(int coeff[], int exp[], double x, double
*result)
{
double res=1;
int i;
for(i=0;i<100;i++)
{
if(exp[i]==0)
res=res+coeff[i];
else
res=res*coeff[i]*pow(x,exp[i]);
}
*result=res;
}
/* Add two polynomials and the result is stored in the first
polynomial (arrays co1[] and ex1[]). */
void add_polynom(int co1[], int ex1[], int co2[], int ex2[])
{
int i,j,k;
int coeff[100],exp[100];
//
temporary arrays of coeff and exp
init_polynom(coeff,exp);
i=0;
j=0;
k=0;
while(i<100 && j<100)
{
if(ex1[i]==ex2[j])
//if both the exponents of polynomial are same
then add both coefficients and increment both i,j
{
coeff[k]=co1[i]+co2[j];
exp[k]=ex1[i];
i++;
j++;
}
else
if(ex1[i]>ex2[j])
// if ith exponent is greater
then add coeff and exp of i in array and increment i
{
coeff[k]=co1[i];
exp[k]=ex1[i];
i++;
}
else
{
coeff[k]=co2[j];
// if jth exponent is greater then add coeff and
exp of j in array and increment j
exp[k]=ex2[j];
j++;
}
k++;
}
for(int i=0;i<100;i++)
// add back the results of addition into co1[]
and ex1[] arrays
{
co1[i]=coeff[i];
ex1[i]=exp[i];
}
}
int main()
{
char str[100];
int coeff1[100],exp1[100];
// coeff1[] and exp1[] are
arrays of polynomial1
init_polynom(coeff1,exp1);
printf("Polynomial 1:\n");
get_polynom(coeff1,exp1);
polynom_to_string(coeff1,exp1,str);
printf("%s\n",str);
double x=1,result=0;
double *ptr=&result;
eval_polynom(coeff1,exp1,x,ptr);
printf("%lf\n",*ptr);
int coeff2[100],exp2[100];
// coeff2[] and exp2[] are
arrays of polynomial2
init_polynom(coeff2,exp2);
printf("Polynomial 2:\n");
get_polynom(coeff2,exp2);
add_polynom(coeff1,exp1,coeff2,exp2);
polynom_to_string(coeff1,exp1,str);
printf("%s\n",str);
return 0;
}
Add Answer to:
/***********************************
*
* Filename: poly.c
*
*
************************************/
#include "poly.h"
/*
Initialize all coefficients and exponents...
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Add and subtract polynomials using linked lists:
The output should look like the following:
The code for the header file, Polynomial.h, is given as
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***********HEADER*************
#include <iostream>
#include <cstdlib>
using namespace std;
class polyll { //this is class POLYLL, but all lower case
private:
struct polynode {
float coeff;
int exp;
polynode* link;
} * p;
public:
polyll();
void poly_append(float c, int e);
void display_poly();
void poly_add(polyll& l1, polyll& l2);
void poly_subtract(polyll& l1, polyll& l2);
~polyll();
};
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// This function saves the array of structures to file. It is already implemented for you.
// You should understand how this code works so that you know how to use it for future assignments.
void save(char* fileName)
{
FILE* file;
int i;
file = fopen(fileName, "wb");
fwrite(&count, sizeof(count), 1, file);
for (i = 0; i < count; i++)
{
fwrite(list[i].name, sizeof(list[i].name), 1, file);
fwrite(list[i].class_standing, sizeof(list[i].class_standing), 1, file);...
Add and subtract polynomials using linked lists:
The output should look like the following:
The code for the header file, Polynomial.h, is given as
such:
***********HEADER*************
#include <iostream>
#include <cstdlib>
using namespace std;
class polyll { //this is class POLYLL, but all lower case
private:
struct polynode {
float coeff;
int exp;
polynode* link;
} * p;
public:
polyll();
void poly_append(float c, int e);
void display_poly();
void poly_add(polyll& l1, polyll& l2);
void poly_subtract(polyll& l1, polyll& l2);
~polyll();
};
polyll::polyll()
{...
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// You should understand how this code works so that you know how to use it for future assignments.
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{
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