#includestdio.h #includestring.h #includemath.h #include.pdf
- 1. #include #include #include #include //FIND FACTORIAL double fact(int n) { int i; double prod = 1.; for(i = 1; i <= n; i++) prod = prod * i; return prod; } //FIND x TO THE POWER OF n double pow(double x, int n) { int i; double prod = 1.; for (i = 0; i < n; i++) prod = prod * x; return prod; } //CALCULATE SIN(x) double sineFun(double x) { double sum = 0.; int i, sign = 1; for (i = 0; i < 21; i++) { sum = sum + sign * pow(x, 2 * i + 1) / fact(2 * i +1); sign = -sign; } return sum; } //FUNCTION TO FIND COS(X) USING TAYLOR’S SERIE double coseFun(double x)
- 2. { } //FUNCTION TO FIND EXP(X) USING TAYLOR’S SERIES double expoFun(double x) { } int main() { double x; char more; do { printf(" tttInput X: "); scanf("%lf", &x); printf(" tttt LibraryResult t MyResult"); printf(" tt sin( %.1lf)t %lft%lf", x, sin(x), sineFun(x)); printf(" tt cos( %.1lf)t %lft%lf", x, cos(x), coseFun(x)); printf(" tt exp( %.1lf)t %lft%lf", x, exp(x), expoFun(x)); printf(" ttttDo more (Y/N)?:"); scanf(" %s", &more); }while(more=='y'||more=='Y'); } Turbo C-tc Input : 2.4 sin cos( 2.40) exp 2.4 LibraryResult 0.675463 -6.737394 11.823176 MyResult 0.675463 0.737394 11.823176 Do nore Y/N? y Input x: -2.4 MyResult -0.675463 - 0.737394 0.090218 LibraryResult sin? y Input x: 4.4 LibraryRe sult MyResult sin? y Input : 4.4 sin Solution Please find the required methods along with its output. Please see the comments against each line to understand the step. NOTE: while compiling please use the option -lm to avoid undefined reference error.
- 3. command : gcc -o main *.c -lm #include #include #include #include #define PI 3.1415 //FIND FACTORIAL double fact(int n) { int i; double prod = 1.; for(i = 1; i <= n; i++) prod = prod * i; return prod; } //FIND x TO THE POWER OF n double power(double x, int n) { int i; double prod = 1.; for (i = 0; i < n; i++) prod = prod * x; return prod; } //CALCULATE SIN(x) double sineFun(double x) { double sum = 0.; int i, sign = 1; for (i = 0; i < 21; i++) { sum = sum + sign * power(x, 2 * i + 1) / fact(2 * i +1); sign = -sign; } return sum; } //FUNCTION TO FIND COS(X) USING TAYLOR’S SERIE
- 4. double coseFun(double x) { double value = 1.0; for (int i = 2, j = 1;i < 21;i += 2, j++ ) { value += ( double ) power( -1.0, j ) * power( x, i ) / fact( i ); //taylor series expansion for cosine series } return value; } //FUNCTION TO FIND EXP(X) USING TAYLOR’S SERIES double expoFun(double x) { int i = 1; float ex = 1; while ( i < 21 ) { ex += ( float ) power( x, i ) / fact( i ); //taylor series expansion for exponential ++i; } return ex; } int main() { double x; char more; do { printf(" tttInput X: "); scanf("%lf", &x); printf(" tttt LibraryResult t MyResult"); printf(" tt sin( %.1lf)t %lft%lf", x, sin(x), sineFun(x)); printf(" tt cos( %.1lf)t %lft%lf", x, cos(x), coseFun(x)); printf(" tt exp( %.1lf)t %lft%lf", x, exp(x), expoFun(x));
- 5. printf(" ttttDo more (Y/N)?:"); scanf(" %s", &more); }while(more=='y'||more=='Y'); } -------------------------------------- OUTPUT: Input X: 2.4 LibraryResult MyResult sin( 2.4) 0.675463 0.675463 cos( 2.4) -0.737394 - 0.737394 exp( 2.4) 11.023176 11.023178 Do more (Y/N)?:Y Input X: - 2.4 LibraryResult MyResult sin( -2.4) -0.675463 - 0.675463
- 6. cos( -2.4) -0.737394 - 0.737394 exp( - 2.4) 0.090718 0.090718 Do more (Y/N)?:Y Input X: 4.4 LibraryResult MyResult sin( 4.4) -0.951602 - 0.951602 cos( 4.4) -0.307333 - 0.307333 exp( 4.4) 81.450869 81.450882 Do more (Y/N)?:Y Input X: - 4.4 LibraryResult MyResult
- 7. sin( - 4.4) 0.951602 0.951602 cos( -4.4) -0.307333 - 0.307333 exp( - 4.4) 0.012277 0.012279 Do more (Y/N)?:N