#ifndef CA_UWATERLOO_ALUMNI_DWHARDER_SEARCHING_ALGORITHMS_FIBONACCIAN_SEARCH_BASIC #define CA_UWATERLOO_ALUMNI_DWHARDER_SEARCHING_ALGORITHMS_FIBONACCIAN_SEARCH_BASIC namespace Searching_algorithms { namespace Fibonaccian_search { class Basic { public: template static bool search( Type obj, Type *array, int n ) { return search( obj, array, 0, n - 1 ); } template static bool search( Type obj, Type *array, int a, int c ) { if ( c < a ) { return false; } int fib = find_fibonacci_number( c - a ); int b; if ( obj - array[a] > array[b] - obj ) { b = a + fib; } else { b = c - fib; } // cout << a << " " << b << " " << c << endl; if ( array[b] == obj ) { return true; } else if ( obj < array[b] ) { return search( obj, array, a, b - 1 ); } else { return search( obj, array, b + 1, c ); } } private: static int find_fibonacci_number( int n ) { for ( int i = 0; true; ++i ) { if ( fibonacci_numbers[i] > n ) { return fibonacci_numbers[i - 1]; } } } static int const fibonacci_numbers[46]; }; int const Basic::fibonacci_numbers[46] = { 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, 2147483647 }; } } #endif