Homework1v3.c

#include <stdio.h>
#include <math.h> // import of math.h library to use the mathematical features
int main(){
// Declaration of the variables
	float A; // starting value
	float H; // step
	float YM;// limit of the function value YM
	float i;// running variable
	float X;// abscissa value
	double Y;//result of the function
	
// Input of A, H and YM
	printf("Enter starting value:    "); 
	scanf("%f", &A);
	printf("Enter step size:    "); 
	scanf("%f", &H);
	while(H < 0){// repeat the input if H is less than 0
		printf("Step size must be greater than zero!\n"); 
		printf("Enter step size again:    ");
		scanf("%f", &H);
	}
	printf("Enter the lower limit of the function value:    "); 
	scanf("%f", &YM);
	
// Calculation of the function, Output
	printf("x            f(x)\n");// header of the table
	i = 0;// initialize the running variable
	Y = 1.7 * pow(10, 208);//max value of Y
	while(i <= 14){
		X = A + H * i;// calculate abscissa value
		printf("%f     ", X);// print abscissa value
		if(0 < X && X <= 2){// if the X value is within the limit values
			/*calculate the function with the 
			 * previously calculated x value using the math.h library */
			Y = 1 - ((1 - pow((4 - pow(X, 2)), 0.5)) / (40 * pow(X, 2) + pow(X, 0.5)));
			if(YM > Y){/* if the limit of the function valuel
						*is greater than the result of the function */
				printf("The lower limit of the function value is reached!");
				break;// end the loop
			}	
			printf("%f\n", Y);// print the result of the function
		}else if(X == 0){// in this case Y is infinite
			printf("not avilable!\n");
		}else{// in this case Y is complex
			printf("complex number!\n");
		}		
		i += 1;// increase the running variable by 1
	}	
	
	
	return 0;
}