interval.h

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#ifndef INTERVALH
#define INTERVALH

#include "boolean.h"

#include <stdio.h>

typedef struct
{
  double lower_limit; 
  double upper_limit; 
} Tinterval;

void NewInterval(double lower,double upper,Tinterval *i);

void CopyInterval(Tinterval *i_dst,Tinterval *i_org);

boolean CmpIntervals(Tinterval *i1,Tinterval *i2);

double LowerLimit(Tinterval *i);

double UpperLimit(Tinterval *i);

double IntervalSize(Tinterval *i);

boolean IsInside(double p,Tinterval *i);

double IntervalCenter(Tinterval *i);

void SetLowerLimit(double c,Tinterval *i);

void SetUpperLimit(double c,Tinterval *i);

boolean IntervalInclusion(Tinterval *i1,Tinterval *i2);

boolean Intersect(Tinterval *i1,Tinterval *i2);

boolean Intersection(Tinterval *i1,Tinterval *i2,Tinterval *i_out);

boolean Union(Tinterval *i1,Tinterval *i2,Tinterval *i_out);

boolean EmptyInterval(Tinterval *i);

void IntervalScale(Tinterval *i1,double e,Tinterval *i_out);

void IntervalProduct(Tinterval *i1,Tinterval *i2,Tinterval *i_out);

void IntervalAdd(Tinterval *i1,Tinterval *i2,Tinterval *i_out);

void IntervalSubstract(Tinterval *i1,Tinterval *i2,Tinterval *i_out);

void IntervalInvert(Tinterval *i,Tinterval *i_out);

void IntervalPow(Tinterval *i,unsigned int p,Tinterval *i_out);

boolean IntervalSqrt(Tinterval *i,Tinterval *i_out);

void IntervalDivision(Tinterval *num,Tinterval *den,Tinterval *i_out);

void IntervalOffset(Tinterval *i,double offset,Tinterval *i_out);

void IntervalSinus(Tinterval *i,Tinterval *i_out);

void IntervalCosinus(Tinterval *i,Tinterval *i_out);

void IntervalAtan2(Tinterval *is,Tinterval *ic,Tinterval *i_out);

void PrintInterval(FILE *f,Tinterval *i);

void DeleteInterval(Tinterval *i);

#endif