How do i declare a function in the command promp window (c++ question)

[okkvlt]

Hi. i wrote a script that finds the definite integral of a function using simpsons rule.
right now the function to be integrated is defined as 2*pow(9-pow(x,2),.5).
but this is very inconvenient to me because i must edit the program each time i want to find a new integral. my question is how do i define the function to be integrated inside the command prompt window? (in other words, i want the user to declare the function to be integrated, instead of the programmer declaring the function to be integrated.)




#include <stdio.h>
#include <math.h>
/*define f[x]*/
double f(double x)
{
double f=2*pow(9-pow(x,2),.5) ;
return f;
}

/*program main*/

int main()
{
double a,b,dx;
long double total1=0,total2=0;
long int n,i=1;
printf("b\nS f[x]dx\na\n\n");
printf("b=");
scanf("%lf",&b);
printf("a=");
scanf("%lf",&a);
printf("number of increments=");
scanf("%d",&n);
dx=(b-a)/n;
printf("%.13lf\n",dx);
/*calculations*/
while(i<=n-1)
{
total1=dx*f(a+i*dx)+total1;
printf("%d\r",i);
i=i+1;
}
i=0;
while(i<=n-1)
{
total2=dx*f(a+(i+.5)*dx)+total2;
printf("%d\r",i);
i=i+1;
}
double integral=total1/3+2*total2/3+dx*(f(a)+f(b))/6;

printf("definite integral=%.13lf", integral);
getchar();
getchar();
}

 

[Mark44]

You can pass a string as an argument to your main function, and your program will need to be able to parse the string to figure out what the function is. Look up "arguments to main" to find out how that works. Parsing the string that is passed into main is quite a bit more complicated because your program will have to have logic so that it understands the arithmetic operators (+, -, *, /), powers of functions, trig functions, and whatever else your program needs to work with.

 

[quicknote]

In order to declare a function in the command prompt window in C++, you can use the following steps:

1. Begin by opening the command prompt window and navigating to the directory where your C++ program is located.

2. In your C++ program, define the function that you want to be integrated using the "double" data type and a variable name (in this case, we have used "f" as the variable name).

3. Within the function, use the "pow" function from the "math.h" library to define the function that needs to be integrated. In this example, we have used the function 2*pow(9-pow(x,2),.5).

4. Once the function is defined, you can call it within your main program by using the variable name followed by the input value (in this case, the input value is "a+i*dx").

5. Finally, in order to allow the user to declare the function to be integrated, you can use the "scanf" function to prompt the user to enter the input values for the function. This will allow the user to declare the function to be integrated without the need for the programmer to edit the program each time.

By following these steps, you can declare a function in the command prompt window in C++ and allow the user to input the function to be integrated, making the program more convenient and user-friendly.