/****************************************************************************/
/* (C) Copyright 1993 Universidade Estadual de Campinas (UNICAMP)           */
/*                    Campinas, SP, Brazil                                  */
/*                                                                          */
/* This file can be freely distributed, modified, and used for any          */
/*   non-commercial purpose, provided that this copyright and authorship    */
/*   notice be included in any copy or derived version of this file.        */
/*                                                                          */
/* DISCLAIMER: This software is offered ``as is'', without any guarantee    */
/*   as to fitness for any particular purpose.  Neither the copyright       */
/*   holder nor the authors or their employers can be held responsible for  */
/*   any damages that may result from its use.                              */
/****************************************************************************/

char *aat_gtag = "g2";
char *aat_gname = "y = 27/16;\nr2 = x^2 + y^2;\nm2 = (x^2 - 3*y^2)^2;\ng = (x^2*m2 - r2)/20";

#define Twenty (20.0)

Float aat_g_flt (Float x)
  {
    ROUND_NEAR;
    {
      Float yc = 27.0/16.0; /* Should be exact */
      Float y = yc;
      Float x2 = x*x;
      Float y2 = y*y;
      Float r2 = x2 + y2;
      Float m = x2 - Three * y2;
      Float m2 = m*m;
      Float res = (x2*m2 - r2)/Twenty;
      return (res);
    }
  }

Interval aat_g_ia (Interval x)
  {
    ROUND_NEAR;
    {
      Float yc = 27.0/16.0; /* Should be exact */
      Interval y = {yc, yc};
      Interval x2 = ia_sqr(x);
      Interval y2 = ia_sqr(y);
      Interval r2 = ia_add(x2, y2);
      Interval m = ia_sub(x2, ia_scale(y2, Three, One));
      Interval m2 = ia_sqr(m);
      Interval res = ia_scale(ia_sub(ia_mul(x2, m2),  r2), One, Twenty);
      return (res);
    }
  }

AAP aat_g_aa (AAP x)
  {
    MemP frame = aa_top();
    ROUND_NEAR;
    {
      Float yc = 27.0/16.0; /* Should be exact */
      AAP y = aa_const(yc, Zero);
      AAP x2 = aa_sqr(x);
      AAP y2 = aa_sqr(y);
      AAP r2 = aa_add(x2, y2);
      AAP m = aa_sub(x2, aa_scale(y2, Three, One));
      AAP m2 = aa_sqr(m);
      AAP res = aa_scale(aa_sub(aa_mul(x2, m2),  r2), One, Twenty);
      return (aa_return(frame, res));
    }
  }

Interval aat_gxd = {-6.0, 6.0};
Interval aat_gyd = {-6.0, 6.0};

int aat_gn = 64;