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int main() { // prints all the prime numbers less than SIZE: bool isPrime[SIZE] = {0}; sieve(isPrime,SIZE); print(isPrime,SIZE); } void sieve(bool isPrime[], int n) { // sets isPrime[i] = false iff i is not prime: for (int i=2; i<n; i++) isPrime[i] = true; // assume all i > 1 are prime for (int p=2; p<=n/2; p++) for (int m=2*p; m<n; m += p) isPrime[m] = false; // no multiple of p is prime } void print(bool a[], int n) { // prints each i for which isPrime[i] is true: for (int i=1; i<n; i++) if (a[i]) cout << setw(3) << i; else cout << setw(3) << (i%20==0 '\n':' '); } 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 6.23 void reverse(int a[], int n) { for (int i=0; i<n/2; i++) swap(a[i],a[n-1-i]); } bool isSymmetric(int a[], int n) { for (int i=0; i<n/2; i++) if (a[i] != a[n-1-i]) return false; return true; } void add(float a[], int n, float b[]) { for (int i=0; i<n; i++) a[i] += b[i]; }
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void multiply(float a[], int n, float b[]) { for (int i=0; i<n; i++) a[i] *= b[i]; } float innerProduct(float a[], int n, float b[]) { float p=0; for (int i=0; i<n; i++) p += a[i]*b[i]; return p; } void outerProduct3(float p[][3], float a[], float b[]) { for (int i=0; i<3; i++) for (int j=0; j<3; j++) p[i][j] = a[i]*b[j]; } void shuffle(int a[], int n { // The Perfect Shuffle for an even number of elements: assert(n <= SIZE); int temp[SIZE]; for (int i=0; i<n/2; i++) { temp[2*i] = a[i]; temp[2*i+1] = a[n/2+i]; } for (int i=0; i<n; i++) a[i] = temp[i]; } const int SIZE=3; typedef int Matrix[SIZE][SIZE]; void print(Matrix); void rotate(Matrix); int main() { // tests the rotate() function: Matrix m = { 11, 22, 33, 44, 55, 66, 77, 88, 99 }; print(m); rotate(m); print(m); } void print(Matrix a) { for (int i=0; i<SIZE; i++) { for (int j=0; j<SIZE; j++) cout << a[i][j] << "\t"; cout << endl; } cout << endl; } void rotate(Matrix m) { Matrix temp; for (int i=0; i<SIZE; i++) for (int j=0; j<SIZE; j++) temp[i][j] = m[SIZE-j-1][i]; for (int i=0; i<SIZE; i++) for (int j=0; j<SIZE; j++)
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m[i][j] = temp[i][j]; } const int SIZE = 100; void read(double[],int&); double mean(double[],int); int main() { double x[SIZE]; int n=0; read(x,n); double m = mean(x,n); cout << "mean = " << m << endl; for (int i = 0; i < n; i++) cout << "x[" << i << "] = " << x[i] << ", dev[i] = " << x[i] - m << endl; } void read(double x[], int& n) { cout << "Enter data. Terminate with 0:\n"; while (n<SIZE) { cout << "x[" << n << "]: "; cin >> x[n]; if (x[n] == 0) break; else ++n; } } double mean(double x[], int n) { double sum=0; for (int i=0; i<n; i++) sum += x[i]; return sum/n; } Enter data. Terminate with 0: x[0]: 1.23 x[1]: 7.65 x[2]: 0 mean = 4.44 x[0] = 1.23, dev[i] = -3.21 x[1] = 7.65, dev[i] = 3.21 double stdev(double a[], int n) { assert(n > 1); double sum=0; for (int i=0; i<n; i++) sum += a[i]; double mean = sum/n; sum=0; double deviation; for (int i=0; i<n; i++) { deviation = a[i] - mean; sum += deviation*deviation; } return sqrt(sum/(n-1)); }
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