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DicelockSecurity (version 9.X)

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mathematicalFunctions.h (mathematical functions C++ header source code file) Print E-mail
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//
// Creator:    http://www.dicelocksecurity.com
// Version:    vers.7.0.0.1
//
// Copyright (C) 2008-2012 DiceLock Security, LLC. All rights reserved.
//
//                               DISCLAIMER
//
// THIS SOFTWARE IS PROVIDED "AS IS" AND ANY EXPRESSED OR IMPLIED WARRANTIES,
// INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY
// AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
// REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
// OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
// WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
// OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
// ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
// 
// DICELOCK IS A REGISTERED TRADEMARK OR TRADEMARK OF THE OWNERS.
// 
 
#ifndef MATHEMATICALFUNCTIONS_HPP
 
#define MATHEMATICALFUNCTIONS_HPP
 
#define MAX(x,y)             ((x) <  (y)  ? (y)  : (x))
#define MIN(x,y)             ((x) >  (y)  ? (y)  : (x))
#define isNonPositive(x)     ((x) <= 0.e0 ?   1  : 0)
#define isPositive(x)        ((x) >  0.e0 ?   1 : 0)
#define isNegative(x)        ((x) <  0.e0 ?   1 : 0)
#define isGreaterThanOne(x)  ((x) >  1.e0 ?   1 : 0)
#define isZero(x)            ((x) == 0.e0 ?   1 : 0)
#define isOne(x)             ((x) == 1.e0 ?   1 : 0)
 
namespace DiceLockSecurity {
 
  namespace RandomTest {
 
        // Enumeration of mathematical errors
    enum MathematicalErrors {
      None,
      Overflow,
      Underflow,
      MathematicianNan
    };
 
    class MathematicalFunctions {
 
     private: 
    
    static const double MACHEP;  // 2**-53 
    static const double MAXLOG;  // log(MAXNUM) 
    static const double MAXNUM; // 2**1024*(1-MACHEP) 
    static const double PI;    // pi
    static const double LOGPI;  // log(pi) 
    static const double LS2PI;  //( log( sqrt( 2*pi ) ) 
    static const double big;
    static const double biginv;
    // A[]: Stirling's formula expansion of log gamma
    // B[], C[]: log gamma function between 2 and 3
    static double A_lgam[];
    static double B_lgam[];
    static double C_lgam[];
    static const double MAXLGM;
     
     protected:
    
    bool Error;
    MathematicalErrors MathError;
 
     public:
 
      // Constructor, default 
      MathematicalFunctions();
 
      // Destructor
      ~MathematicalFunctions();
 
      // Logarithm of gamma function
      double  LGamma(double);
 
      // incomplete gamma function
      double  IGamma(double, double);
      
      // Complemented incomplete gamma integral
      double  IGammaC(double, double);
 
      // Evaluate polynomial of degree N
      double  PolEvl(double,double *, int);
      
      //                                          N
      // Evaluate polynomial when coefficient of x  is 1.0.
      double  P1Evl(double, double *, int);
      
      // Error function in double precision 
      double  ErF(double);
      
      // Error function in double precision 
      double  ErFc(double);
      
      // Statistical Normal function
      double   Normal(double);
      
      // Class common error handling member
      int    GetError();
 
      // Class common error handling member
      MathematicalErrors GetMathError();
    };
  }
}
 
#endif