// shape5a.java  plot 3d data  Utah Graphics  to shape5a.dat shape5a.stl
//                 javac -cp . shape5a.java
//             _   java  -cp . shape5a > shape5a_java.out
// 8 copies around dang = 2Pi/8 = Pi/4  45 degrees
// arcs aang = Pi/32

import java.io.*;

public class shape5a  // only 2d lines first cut, z=0
{
  boolean debug = true;
  int pts, pt, np, j;
  int k = 0; // index into newpts k++
  datread DR; // = new datread(filename); // defines data structures
  int new_points = 0; // for each x,y,z point kept
  int new_polys = 0; // k/4 for datwrite
  double xyz[][] = new double[10000][3]; // x, y, z for output
  int newpts[] = new int[40000]; // 2, xyz1, xyz2 for output
  String fileout = "shape5a.dat";
  double Pi =  Math.PI;
  double pxy[] = new double[2];    
  double xca[] = new double[9]; // rotated
  double yca[] = new double[9]; // rotated
  double pt1xa[] = new double[9]; // rotated
  double pt1ya[] = new double[9]; // rotated use
  double pt2xa[] = new double[9]; // rotated use
  double pt2ya[] = new double[9]; // rotated use

    
  public shape5a()
  {
    double xc, yc, r, ang1, ang2, rxc, ryc;
    double pt1x, pt1y, pt2x, pt2y, dx, dy;
    int ca0, ca1, ca2, ca3, ca4, ca5, ca6, ca7; // inner arcs
    System.out.println("shape5a.java running");
    new_polys = 0;
    new_points = 0;
    
    System.out.println(" ");
    System.out.println("generate 8 copies of pattern, inside");
    xc = 0.0;
    xca[0] = xc;
    yc = -10.0;
    yca[0] = yc;
    r  = 4.1;
    pt1x = 4.0;
    pt1xa[0] = pt1x;
    pt1y = -10.0;
    pt1ya[0] = pt1y;
    pt2x = -4.0;
    pt2xa[0] = pt2x;
    pt2y = -10.0;
    pt2ya[0] = pt2y;
    for(int i=1; i<9; i++)
    {
      rotate(xca[i-1],yca[i-1],pxy);
      xca[i] = pxy[0];
      yca[i] = pxy[1];
      rotate(pt1xa[i-1],pt1ya[i-1],pxy);
      pt1xa[i] = pxy[0];
      pt1ya[i] = pxy[1];
      rotate(pt2xa[i-1],pt2ya[i-1],pxy);
      pt2xa[i] = pxy[0];
      pt2ya[i] = pxy[1];
    } // end i
    for(int i=0; i<9; i++)
    {
      System.out.println("i="+i+" xc="+xca[i]+"  yc="+yca[i]);
    } // end i
    System.out.println(" ");
    for(int i=0; i<9; i++)
    {
      System.out.println("i="+i+" pt1x="+pt1xa[i]+"  pt1y="+pt1ya[i]);
    } // end i
    System.out.println(" ");
    for(int i=0; i<9; i++)
    {
      System.out.println("i="+i+" pt2x="+pt2xa[i]+"  pt2y="+pt2ya[i]);
    } // end i
    System.out.println(" ");

    // a 
    System.out.println("a  ");
    for(int i=0; i<8; i++)
    {
      arc(xca[i], yca[i], r, pt1xa[i], pt1ya[i], pt2xa[i], pt2ya[i]);
    } // end i
    
    System.out.println(" ");
    System.out.println("generate 8 copies of pattern, inside 2");
    xc = 0.0;
    xca[0] = xc;
    yc = -10.0;
    yca[0] = yc;
    r  = 4.6;
    pt1x = 5.0;
    pt1xa[0] = pt1x;
    pt1y = -11.0;
    pt1ya[0] = pt1y;
    pt2x = -5.0;
    pt2xa[0] = pt2x;
    pt2y = -11.0;
    pt2ya[0] = pt2y;
    for(int i=1; i<8; i++)
    {
      rotate(xca[i-1],yca[i-1],pxy);
      xca[i] = pxy[0];
      yca[i] = pxy[1];
      rotate(pt1xa[i-1],pt1ya[i-1],pxy);
      pt1xa[i] = pxy[0];
      pt1ya[i] = pxy[1];
      rotate(pt2xa[i-1],pt2ya[i-1],pxy);
      pt2xa[i] = pxy[0];
      pt2ya[i] = pxy[1];
    } // end i
    // a2 
    System.out.println("a 2 ");
    for(int i=0; i<8; i++)
    {
      arc(xca[i], yca[i], r, pt1xa[i], pt1ya[i], pt2xa[i], pt2ya[i]);
    } // end i
    
    System.out.println("generate 8 copies of pattern, outside");
    xc = 4.0;
    xca[0] = xc;
    yc = -10.0;
    yca[0] = yc;
    r = 4.5;
    pt1x =  0.0;
    pt1xa[0] = pt1x;
    pt1y = -8.0;
    pt1ya[0] = pt1y;
    pt2x =  5.7;
    pt2xa[0] = pt2x;
    pt2y = -5.7;
    pt2ya[0] = pt2y;
    for(int i=1; i<8; i++)
    {
      rotate(xca[i-1],yca[i-1],pxy);
      xca[i] = pxy[0];
      yca[i] = pxy[1];
      rotate(pt1xa[i-1],pt1ya[i-1],pxy);
      pt1xa[i] = pxy[0];
      pt1ya[i] = pxy[1];
      rotate(pt2xa[i-1],pt2ya[i-1],pxy);
      pt2xa[i] = pxy[0];
      pt2ya[i] = pxy[1];
    } // end i
    // b
    System.out.println("a  ");
    for(int i=0; i<8; i++)
    {
      arc(xca[i], yca[i], r, pt1xa[i], pt1ya[i], pt2xa[i], pt2ya[i]);
    } // end i
    
    System.out.println("generate 8 copies of pattern, outside 2");
    xc = 4.0;
    xca[0] = xc;
    yc = -10.0;
    yca[0] = yc;
    r = 5.0;
    pt1x =  0.0;
    pt1xa[0] = pt1x;
    pt1y = -7.3;
    pt1ya[0] = pt1y;
    pt2x =  4.9;
    pt2xa[0] = pt2x;
    pt2y = -4.9;
    pt2ya[0] = pt2y;
    for(int i=1; i<8; i++)
    {
      rotate(xca[i-1],yca[i-1],pxy);
      xca[i] = pxy[0];
      yca[i] = pxy[1];
      rotate(pt1xa[i-1],pt1ya[i-1],pxy);
      pt1xa[i] = pxy[0];
      pt1ya[i] = pxy[1];
      rotate(pt2xa[i-1],pt2ya[i-1],pxy);
      pt2xa[i] = pxy[0];
      pt2ya[i] = pxy[1];
    } // end i
    // b 2
    System.out.println("a  ");
    for(int i=0; i<8; i++)
    {
      arc(xca[i], yca[i], r, pt1xa[i], pt1ya[i], pt2xa[i], pt2ya[i]);
    } // end i
    
    System.out.println(" ");
    
    System.out.println("new_points="+new_points+"  np="+np);
    new_polys = k/3;
    System.out.println("new_polys="+new_polys);

    new datwrite(fileout, xyz, new_points, newpts, new_polys);
    System.out.println("shape5a.java finished");

  } // shape5a constructor

  void arc(double xc, double yc, double r,
	   double pt1x, double pt1y, double pt2x, double pt2y)
  {
    int n = 16;
    double ang1, ang2, dx, dy;
    double dang;
    double ang;
    double x, y, z;
    System.out.println("arc ");
    System.out.println("xc="+xc+"  yc="+yc+"  r="+r);
    System.out.println("pt1x="+pt1x+"  pt1y="+pt1y);
    dx = pt1x-xc;
    dy = pt1y-yc;
    System.out.println("dx="+dx+"  dy="+dy);
    ang1 = Math.atan2(dy,dx);
    System.out.println("ang1="+ang1+"  deg="+(180.0*ang1/Pi));
    System.out.println("pt2x="+pt2x+"  pt2y="+pt2y);
    dx = pt2x-xc;
    dy = pt2y-yc;
    System.out.println("dx="+dx+"  dy="+dy);
    ang2 = Math.atan2(dy,dx);
    System.out.println("ang2="+ang2+"  deg="+(180.0*ang2/Pi));
    ang = ang1;
    if(ang1>ang2) { ang2 = ang2 + 2.0*Pi; }
    dang = (ang2-ang1)/(double)(n-1);
    for(int i=0; i<n; i++)
    {
      x = xc + r*Math.cos(ang);
      y = yc + r*Math.sin(ang);
      System.out.println("arc x="+x+"  arc y="+y);
      z = 0.0;
      xyz[new_points][0] = x;
      xyz[new_points][1] = y;
      xyz[new_points][2] = z;
      new_points = new_points +1;
      if(i>0)
      {
        newpts[k++] = 2;
        newpts[k++] = new_points-1;
        newpts[k++] = new_points;
      } // end if
      ang = ang+dang;
    } // end i
    System.out.println(" ");
  } // end arc

  void rotate(double x, double y, double xyp[]) // Pi/4 45 deg
  {
    double r, ang;
    r = Math.sqrt(x*x+y*y);
    ang = Math.atan2(y,x);
    ang = ang + Pi/4.0;
    xyp[0] = r*Math.cos(ang);
    xyp[1] = r*Math.sin(ang);
  } // end rotate
    
  public static void main(String[] args)
  {
    new shape5a(); // writes shape5a.dat
  }
} // end class  shape5a.java