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prime_tables.h (4247B)


      1 // Copyright 2008 Google Inc.
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     29 
     30 
     31 
     32 // This provides interface PrimeTable that determines whether a number is a
     33 // prime and determines a next prime number. This interface is used
     34 // in Google Test samples demonstrating use of parameterized tests.
     35 
     36 #ifndef GOOGLETEST_SAMPLES_PRIME_TABLES_H_
     37 #define GOOGLETEST_SAMPLES_PRIME_TABLES_H_
     38 
     39 #include <algorithm>
     40 
     41 // The prime table interface.
     42 class PrimeTable {
     43 public:
     44  virtual ~PrimeTable() {}
     45 
     46  // Returns true if and only if n is a prime number.
     47  virtual bool IsPrime(int n) const = 0;
     48 
     49  // Returns the smallest prime number greater than p; or returns -1
     50  // if the next prime is beyond the capacity of the table.
     51  virtual int GetNextPrime(int p) const = 0;
     52 };
     53 
     54 // Implementation #1 calculates the primes on-the-fly.
     55 class OnTheFlyPrimeTable : public PrimeTable {
     56 public:
     57  bool IsPrime(int n) const override {
     58    if (n <= 1) return false;
     59 
     60    for (int i = 2; i*i <= n; i++) {
     61      // n is divisible by an integer other than 1 and itself.
     62      if ((n % i) == 0) return false;
     63    }
     64 
     65    return true;
     66  }
     67 
     68  int GetNextPrime(int p) const override {
     69    if (p < 0) return -1;
     70 
     71    for (int n = p + 1;; n++) {
     72      if (IsPrime(n)) return n;
     73    }
     74  }
     75 };
     76 
     77 // Implementation #2 pre-calculates the primes and stores the result
     78 // in an array.
     79 class PreCalculatedPrimeTable : public PrimeTable {
     80 public:
     81  // 'max' specifies the maximum number the prime table holds.
     82  explicit PreCalculatedPrimeTable(int max)
     83      : is_prime_size_(max + 1), is_prime_(new bool[max + 1]) {
     84    CalculatePrimesUpTo(max);
     85  }
     86  ~PreCalculatedPrimeTable() override { delete[] is_prime_; }
     87 
     88  bool IsPrime(int n) const override {
     89    return 0 <= n && n < is_prime_size_ && is_prime_[n];
     90  }
     91 
     92  int GetNextPrime(int p) const override {
     93    for (int n = p + 1; n < is_prime_size_; n++) {
     94      if (is_prime_[n]) return n;
     95    }
     96 
     97    return -1;
     98  }
     99 
    100 private:
    101  void CalculatePrimesUpTo(int max) {
    102    ::std::fill(is_prime_, is_prime_ + is_prime_size_, true);
    103    is_prime_[0] = is_prime_[1] = false;
    104 
    105    // Checks every candidate for prime number (we know that 2 is the only even
    106    // prime).
    107    for (int i = 2; i*i <= max; i += i%2+1) {
    108      if (!is_prime_[i]) continue;
    109 
    110      // Marks all multiples of i (except i itself) as non-prime.
    111      // We are starting here from i-th multiplier, because all smaller
    112      // complex numbers were already marked.
    113      for (int j = i*i; j <= max; j += i) {
    114        is_prime_[j] = false;
    115      }
    116    }
    117  }
    118 
    119  const int is_prime_size_;
    120  bool* const is_prime_;
    121 
    122  // Disables compiler warning "assignment operator could not be generated."
    123  void operator=(const PreCalculatedPrimeTable& rhs);
    124 };
    125 
    126 #endif  // GOOGLETEST_SAMPLES_PRIME_TABLES_H_