# Example 3 - one-dimensional example illustrating extrapolation into data sparse regions (C)

#include <stdio.h>
#include <ncarg/ncargC.h>
#include <ncarg/gks.h>
#include <ncarg/ngmath.h>

/*
*  Function prototypes for plotting backgrounds and curves.
*/
void c_bkgft1(float, char *, float, float);
void c_drwft1(int, float [], float [], int, float [], float [],
float []);

/*
*  The number of input data points.
*/
#define NDATA   9

/*
*  The number of output data points.
*/
#define NPTS  101

/*
*  The GKS workstation type (NCGM).
*/
#define IWTYPE  1

/*
*  The GKS workstaton identifier.
*/
#define WKID    1

/*
*  Demo of extrapolation into data sparse regions using c_csa1xs.
*/
main ()
{

/*
*  Set up the output arrays.
*/
float xo[NPTS],*yo1,*yo2,xinc;

/*
*  Specify the input data and initial weighting array.
*/
float  xi[] = {0.0, 0.1, 0.2,  0.3,  0.4, 0.5, 0.6, 0.9, 1.0};
float  yi[] = {0.0, 0.2, 0.4, -0.4, -1.0, 0.2, 0.5, 0.4, 0.0};

float smth=0.,wts=-1.;
int i,knots=8,nderiv=0,ier;

/*
*  Specify the output coordinates.
*/
xinc = 1./ (float) (NPTS-1);
for (i = 0; i < NPTS; i++) {
xo[i] = (float) i * xinc;
}

/*
*  Calculate the approximating curve with no extrapolation.
*  Note the unexpected oscillation in the curve.
*/
yo1 = c_csa1xs(NDATA,xi,yi,&wts,knots,smth,nderiv,NPTS,xo,&ier);
if (ier != 0) {
printf("Error return from c_csa1xs: %d\n",ier);
exit(1);
}

/*
*  Calculate the approximating curve with extrapolation into
*  data sparse regions.
*/
smth = 1.;
yo2 = c_csa1xs(NDATA,xi,yi,&wts,knots,smth,nderiv,NPTS,xo,&ier);
if (ier != 0) {
printf("Error return from c_csa1xs: %d\n",ier);
exit(1);
}

/*
*  Draw plot.
*/
c_drwft1(NDATA,xi,yi,NPTS,xo,yo1,yo2);

}

void c_drwft1(int n, float x[], float y[], int m, float xo[],
float curve1[], float curve2[])
{

/*
*  This function uses NCAR Graphics to plot curves.
*/

int   i;
float yb, yt, ypos_top = 0.86;

/*
*  Declare variables used in GKS calls.
*/
Gcolr_rep rgb;
Gpoint plist[NDATA];
Gpoint_list pmk;

/*
*  Open GKS, open and activate a workstation.
*/
gopen_gks("stdout",0);
gopen_ws(WKID, NULL, IWTYPE);
gactivate_ws(WKID);

/*
* Define a color table.
*/
rgb.rgb.red = rgb.rgb.green = rgb.rgb.blue = 1.;
gset_colr_rep(WKID,0,&rgb);
rgb.rgb.red = rgb.rgb.green = rgb.rgb.blue = 0.;
gset_colr_rep(WKID,1,&rgb);
rgb.rgb.red = 1.;
rgb.rgb.green = rgb.rgb.blue = 0.;
gset_colr_rep(WKID,2,&rgb);
rgb.rgb.red = rgb.rgb.green = 0.;
rgb.rgb.blue = 1.;
gset_colr_rep(WKID,3,&rgb);

/*
* Plot the main title.
*/
gset_clip_ind(0);
c_plchhq(.5,.95,":F21:Data sparse areas",0.03,0.,0.);

/*
*  Draw a background grid for the first curve.
*/
yb = -2.0;
yt =  1.0;
c_bkgft1(ypos_top,"smth = 0.",yb,yt);
c_gridal(5,5,3,1,1,1,10,0.0,yb);

/*
*  Graph the approximation curve.
*/
c_curve(xo,curve1,m);

/*
*  Mark the input data points.
*/
for (i = 0; i < n; i++) {
plist[i].x = x[i];
plist[i].y = y[i];
}
gset_marker_size(2.2);
gset_marker_colr_ind(3);
pmk.num_points = n;
pmk.points = plist;
gpolymarker(&pmk);

/*
*  Graph the approximation curve.
*/
c_bkgft1(ypos_top-0.45,"smth = 1.",yb,yt);
c_gridal(5,5,3,1,1,1,10,0.0,yb);
c_curve(xo,curve2,m);
gpolymarker(&pmk);

c_frame();

/*
*  Deactivate and close workstation, close GKS.
*/
gdeactivate_ws(WKID);
gclose_ws(WKID);
gclose_gks();
}

/*
*  Draw a background.
*/
void c_bkgft1(float ypos, char *label, float yb, float yt) {

c_set(0.,1.,0.,1.,0.,1.,0.,1.,1);

/*
*   Plot the curve label using font 21 (Helvetica).
*/
c_pcseti("fn",21);
c_plchhq(0.17,ypos-0.2,label,0.03,0.,-1.0);

/*
*  Draw a horizontal line at Y=0. using color index 2.
*/
c_set(0.13,0.93,ypos-0.28,ypos,0.0,1., yb, yt, 1);
gset_line_colr_ind(2);
c_line(0.,0.,1.,0.);
c_sflush();
gset_line_colr_ind(1);

/*
*  Set Gridal parameters.
*
*
*   Set lty to indicate that the Plotchar routine PLCHHQ should be used.
*/
c_gaseti("lty",1);
c_pcseti("fn",21);

/*
*   Size and format for X axis labels.
*/
c_gasetr("xls",0.02);
c_gasetc("xlf","(f3.1)");

/*
*   Size and format for X axis labels.
*/
c_gasetr("yls",0.02);
c_gasetc("ylf","(f5.1)");

/*
*  Length of major tick marks for the X and Y axes.
*/
c_gasetr("xmj",0.02);
c_gasetr("ymj",0.02);
}

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