Program Listing for File Combinatorics.h

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/*--------------------------------------------------------------------------*/
/*-------------------------- File Combinatorics.h --------------------------*/
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/*----------------------------- DEFINITIONS --------------------------------*/
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#ifndef __ADS_Combinatorics
 #define __ADS_Combinatorics
                      /* self-identification: #endif constant */

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/*------------------------------ INCLUDES ----------------------------------*/
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#include "ADS/Contract.h"

#include <cstddef>
#include <cstdint>
#include <vector>

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/*--------------------------- NAMESPACE ------------------------------------*/
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namespace ADS {

inline std::uint64_t binomial( int n , int k , long * calls = nullptr );

inline std::vector< std::vector< std::uint64_t > > tartaglia( int n );

inline std::uint64_t fibonacciTable( int n );

inline std::uint64_t fibonacci( int n );

class FibonacciCache {
 public:
 [[nodiscard]] std::uint64_t value( int n ) const;

 [[nodiscard]] int size( void ) const;

 private:
 mutable std::vector< std::uint64_t > f_F = { 1 , 1 };
 };

inline std::uint64_t factorial( int n );

inline std::uint64_t factorialRec( int n );

inline std::uint64_t binomialByFactorials( int n , int k );

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}  // end( namespace ADS )

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/*-------------------------- IMPLEMENTATION --------------------------------*/
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#include "ADS/numeric/impl/Combinatorics.tpp"

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#endif  /* Combinatorics.h included */

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/*------------------------ End File Combinatorics.h ------------------------*/
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