Need help finding the mistake in the C programme - c

Question

I am trying to calculate value of sin(x) in C but I am getting black screen in code:block after execution, its taking long for compilation and execution.
#include<stdio.h>
float mult(float x, int m, int i) {
float a = x;
if (i == m) {
return x;
} else {
i++;
a = a * mult(x, m, i);
return a;
}
}
int fact(int m) {
printf("%d! ", m); fflush(stdout);
int b;
if (m == 1) {
return 1;
} else {
b = m * fact(m - 1);
return b;
}
}
float term(float x, int m) {
float a = 0, b = 0, c = 0;
int i = 0;
a = mult(x, m, i);
b = fact(m);
c = a / (1.0 * b);
return c;
}
float sinof(float x, int m, int n) {
float b = 0;
if (m >= 10) {
return (0);
} else {
printf("......%d ", m); fflush(stdout);
b = term(x, m);
m = m + 2;
n = -n;
b = b + (n * sinof(x, m, n));
return b;
}
}
int main() {
float x = 0, sin = 0;
int m = 1, n = 1;
printf("Enter the angle in radians:");
scanf("%f", &x);
sin = sinof(x, m, n);
printf("%f", sin);
}
I hope the logic is correct.

Answer 1

m is odd. Below fails to stop recursion.
if(m==10){ // Never true
return(0);
} else{
b=term(x,m);
m=m+2;n=-n; // ***********
b=b+(n*sinof(x,m,n));
return b;
}
I recommend OP get own code working first. There are various other issues.
For a simplified recursive sine(), mouse over to see.
static double my_sin_helper(double xx, double term, unsigned n) {
if (term + 1.0 == 1.0) {
return term;
}
return term - my_sin_helper(xx, xx *term / ((n + 1) * (n + 2)), n + 2);
}
// valid for [-pi/2 + pi/2]
double my_sin_primary(double x) {
return x * my_sin_helper(x * x, 1.0, 1);
}