/****************************************************************************/
/* (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 = "gsin3";
char *aat_gname = "x2 = x^2;\nt1 = x;\nt3 = -t1*x2/6;\nt5 = -t3*x2/20;\ng(x) = t1 + t2 + t3";

#define Six (6.0)
#define Twenty (20.0)

Float aat_g_flt (Float x)
  {
    ROUND_NEAR;
    { 
      Float x2 = x*x;
      Float t1 = x;
      Float t3 = -t1*x2/Six;
      Float t5 = -t3*x2/Twenty;
      Float res = t1 + t3 + t5;
      return (res);
    }
  }

Interval aat_g_ia (Interval x)
  {
    Interval x2 = ia_sqr(x);
    Interval t1 = x;
    Interval t3 = ia_affine(ia_mul(t1, x2), One, -Six, Zero, Zero);
    Interval t5 = ia_affine(ia_mul(t3, x2), One, -Twenty, Zero, Zero);
    Interval res = ia_add(ia_add(t1, t3), t5);
    return (res);
  }

AAP aat_g_aa (AAP x)
  { 
    MemP frame = aa_top();
    AAP x2 = aa_sqr(x);
    AAP t1 = x;
    AAP t3 = aa_affine(aa_mul(t1, x2), One, -Six, Zero, Zero);
    AAP t5 = aa_affine(aa_mul(t3, x2), One, -Twenty, Zero, Zero);
    AAP res = aa_add(aa_add(t1, t3), t5);
    return (aa_return(frame, res));
  }

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

int aat_gn = 16;