2.1.17.2.6.7 yatasymt

1 Description
2 Syntax
3 Parameters
4 Return
5 Examples
6 Remark
7 See Also
8 Header to Include
9 Reference

Description

Get the value of Y at a horizontal asymptote.

Syntax

double yatasymt( Curve & crv )

Parameters

crv: [input] curve whose asymptote is found

Return

Returns the value of Y at a horizontal asymptote.

Examples

EX1

// This is a self contained sample program for the function yatasymt, 
// Its sample data is created at the beginning of the program. 
// To run the program, enter the following command in the Script window:
//   xatasymt_ex1
// It returns like:
//   The value of Y at the horizontal asymptote of X(Data3_A) = -3.000000

void yatasymt_ex1()
{
    double dyatasymt;

    Worksheet wks;
    wks.Create();
    Dataset myXDs(wks,0);
    String strXName = myXDs.GetName();
    Dataset myYDs(wks,1);

    //******* Create sample data *****************
    myXDs.SetSize(13);
    myYDs.SetSize(13);
    myXDs[0]=-20;     myYDs[0]=-3.04762;
    myXDs[1]=-14;     myYDs[1]=-3.06667;
    myXDs[2]=-8;     myYDs[2]=-3.11111;
    myXDs[3]=-2;     myYDs[3]=-3.33333;
    myXDs[4]=-1;     myYDs[4]=-3.5;
    myXDs[5]=0;     myYDs[5]=-4;
    myXDs[6]=1;     myYDs[6]=NANUM;
    myXDs[7]=2;     myYDs[7]=-2;
    myXDs[8]=3;     myYDs[8]=-2.5;
    myXDs[9]=4;     myYDs[9]=-2.66667;
    myXDs[10]=10;     myYDs[10]=-2.88889;
    myXDs[11]=16;     myYDs[11]=-2.93333;
    myXDs[12]=22;     myYDs[12]=-2.95238;
    //******** End of Sample Data Creation *******            
    
    Curve myCrv(myXDs,myYDs);    // Create a Curve object    
    
    dyatasymt = yatasymt(myCrv);  // Demonstration of xatasymt
    
    printf("The value of Y at the horizontal asymptote of X(%s) = %f\n",
        strXName,dyatasymt);
}

Remark

The function used for fitting function parameter initialization.

Get the value of Y at a horizontal asymptote. If the asymptote has two branches then Y is defined as Y = (yatxmax+yatxmin)/2 and if the asymptote has a single branch then Y is defined as either yatxmax or yatxmin depending on where the slope of the curve is closest to zero.