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francois |
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#include "gestionversion.h"
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//---------------------------------------------------------------------------
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#pragma hdrstop
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#include <math.h>
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#include <iomanip.h>
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#include "ot_doubleprecision.h"
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#include <iostreamh>
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//---------------------------------------------------------------------------
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#pragma package(smart_init)
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double2::double2():x(0.),dx(1e-12)
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{
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}
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double2::double2(double val):x(val),dx(1e-12*fabs(val))
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{
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}
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double2::double2(double2 &mdd):x(mdd.x),dx(mdd.dx)
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{
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}
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double2::double2(const double2& mdd):x(mdd.x),dx(mdd.dx)
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{
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}
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double2::~double2()
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{
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}
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double2& double2::operator=(const double2& val)
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{
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x=val.x;
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dx=val.dx;
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return *this;
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}
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int double2::operator==(double2& val)
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{
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int rep=0;
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if ((val.x>=x-dx/2.) && (val.x<=x+dx/2.) )
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if ((x>=val.x-val.dx/2.) && (x<=val.x+val.dx/2.) )
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rep=1; else rep=0;
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return rep;
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}
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int double2::operator<(double2& val)
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{
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if (x+dx/2.<val.x-val.dx/2.)
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return 1;
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else
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return 0;
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}
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int double2::operator<=(double2& val)
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{
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if (x+dx/2.<val.x+val.dx/2.)
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return 1;
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else
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return 0;
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}
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int double2::operator>(double2& val)
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{
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double a=x-dx/2.;
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double b=val.x+val.dx/2.;
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if (a>b)
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return 1;
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else
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return 0;
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}
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int double2::operator>=(double2& val)
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{
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if (x-dx/2.>val.x-val.dx/2.)
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return 1; else return 0;
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}
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double2 operator+(double2& val1,double2& val2)
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{
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double2 xx;
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xx.x=val1.x+val2.x;
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xx.dx=val1.dx+val2.dx;
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return xx;
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}
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double2 operator+(const double2& val1,const double2& val2)
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{
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double2 xx;
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xx.x=val1.x+val2.x;
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xx.dx=val1.dx+val2.dx;
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return xx;
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}
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double2 operator-(double2& val1,double2& val2)
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{
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double2 xx;
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xx.x=val1.x-val2.x;
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xx.dx=val1.dx+val2.dx;
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return xx;
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}
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double2 operator-(const double2& val1,const double2& val2)
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{
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double2 xx;
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xx.x=val1.x-val2.x;
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xx.dx=val1.dx+val2.dx;
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return xx;
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}
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double2 operator*(double2& val1,double2& val2)
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{
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double2 xx;
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xx.x=val1.x*val2.x;
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xx.dx=fabs(val1.x)*val2.dx+fabs(val2.x)*val1.dx;
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return xx;
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}
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double2 operator*(const double2& val1,const double2& val2)
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{
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double2 xx;
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xx.x=val1.x*val2.x;
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xx.dx=fabs(val1.x)*val2.dx+fabs(val2.x)*val1.dx;
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return xx;
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}
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double2 operator/(double2& val1,double2& val2)
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{
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double2 xx;
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xx.x=val1.x/val2.x;
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xx.dx=fabs(1./val2.x)*val1.dx+fabs(val1.x/val2.x/val2.x)*val2.dx;
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return xx;
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}
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double2 operator/(const double2& val1,const double2& val2)
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{
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double2 xx;
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xx.x=val1.x/val2.x;
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xx.dx=fabs(1./val2.x)*val1.dx+fabs(val1.x/val2.x/val2.x)*val2.dx;
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return xx;
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}
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double2 operator^(double2& val1,double n=0.5)
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{
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double2 xx;
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xx.x=pow(val1.x,n);
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if(val1.x)
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xx.dx=n*pow(val1.x,n-1)*val1.dx;
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else xx.dx=val1.dx;
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return xx;
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}
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double2 operator^(const double2& val1,const double n=0.5)
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{
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double2 xx;
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xx.x=pow(val1.x,n);
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if(val1.x)
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xx.dx=n*pow(val1.x,n-1)*val1.dx;
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else xx.dx=val1.dx;
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return xx;
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}
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std::ostream& operator <<(std::ostream& os,const double2& m)
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{
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os<<m.x<<setw(15)<<m.dx;
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return os;
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}
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double2 cos(double2& val)
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{
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double2 xx;
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xx.x=cos(val.x);
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xx.dx=fabs(sin(val.x))*val.dx;
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return xx;
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}
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double2 cos(const double2& val)
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{
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double2 xx;
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xx.x=cos(val.x);
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xx.dx=fabs(sin(val.x))*val.dx;
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return xx;
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}
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double2 acos(double2& val)
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{
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double2 xx;
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xx.x=acos(val.x);
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xx.dx=fabs(-1./sqrt(1-val.x*val.x))*val.dx;
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return xx;
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}
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double2 acos(const double2& val)
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{
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double2 xx;
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xx.x=acos(val.x);
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xx.dx=fabs(-1./sqrt(1-val.x*val.x))*val.dx;
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return xx;
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}
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double2 sin(double2& val)
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{
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double2 xx;
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xx.x=sin(val.x);
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xx.dx=fabs(cos(val.x))*val.dx;
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return xx;
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}
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double2 fabs(double2& val)
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{
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double2 xx;
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if (val.x<0.0)
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{
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xx.x=-val.x;
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xx.dx=val.dx;
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}
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else xx=val;
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return xx;
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}
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double2 sin(const double2& val)
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{
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double2 xx;
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xx.x=sin(val.x);
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xx.dx=fabs(cos(val.x))*val.dx;
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return xx;
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}
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double2 asin(double2& val)
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{
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double2 xx;
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xx.x=asin(val.x);
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xx.dx=fabs(1./sqrt(1-val.x*val.x))*val.dx;
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return xx;
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}
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double2 asin(const double2& val)
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{
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double2 xx;
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xx.x=asin(val.x);
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xx.dx=fabs(1./sqrt(1-val.x*val.x))*val.dx;
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return xx;
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}
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double2 tan(double2& val)
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{
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double2 xx;
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xx.x=tan(val.x);
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xx.dx=fabs(1+tan(val.x)*tan(val.x))*val.dx;
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return xx;
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}
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double2 tan(const double2& val)
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{
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double2 xx;
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xx.x=tan(val.x);
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xx.dx=fabs(1+tan(val.x)*tan(val.x))*val.dx;
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return xx;
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}
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double2 atan(double2& val)
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{
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double2 xx;
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xx.x=atan(val.x);
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xx.dx=fabs(1./(1+val.x*val.x))*val.dx;
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return xx;
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}
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double2 atan(const double2& val)
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{
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double2 xx;
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xx.x=atan(val.x);
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xx.dx=fabs(1./(1+val.x*val.x))*val.dx;
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return xx;
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}
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double double2::get_x()
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{
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return x;
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}
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double double2::get_dx()
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{
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return dx;
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}
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