// an interesting tangent function for Feb 14
//
#include <stdio.h>
#include <math.h>

#define N 101 // number of points

#define PI (4*atan(1))

typedef struct { double x, y; } Point;

Point f( double a)
{
  double t = fabs(tan(a)), r = pow(t,1/t); 
  Point p; p.x = r*cos(a); p.y = r*sin(a);
  return p;
}

int main( void)
{
 // linear scale of N points from amin to amax
 //
  double amin = 0, amax = PI, da = (amax-amin)/(N-1), a;  Point p;

  // int i = 0; while( i < N) { ...; ++i; }

  for( int i = 0; i < N; ++i) // i = 0, 1, ..., N-1
  {
    a = amin + i*da;
    p = f(a);
    printf( "%g %g\n", p.x, p.y);
  }

  return 0;
}