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path: root/support/dktools/dk3mad.c
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/*
Copyright (C) 2014-2020, Dirk Krause
SPDX-License-Identifier: BSD-3-Clause
*/

/*
	WARNING: This file was generated by the dkct program (see
	http://dktools.sourceforge.net/ for details).
	Changes you make here will be lost if dkct is run again!
	You should modify the original source and run dkct on it.
	Original source: dk3mad.ctr
*/

/**	@file dk3mad.c The dk3mad module.
*/


#line 161 "dk3mad.ctr"

#include "dk3conf.h"
#include "dk3ma.h"
#include "dk3const.h"





#line 169 "dk3mad.ctr"



#if (DK3_SIZEOF_DOUBLE == 8) && (DK3_HAVE_IEEE_754_DOUBLE)
/**	Type to construct double value from binary (hex) data.
*/
typedef union {
  unsigned char c[sizeof(double)];	/**< Bytes to specify hex. */
  double d; 				/**< Double value to retrieve. */
} __dk3ma_max_double_t;

/**	Maximum double value.
*/
__dk3ma_max_double_t const __dk3ma_max_double = {
#if DK3_WORDS_BIGENDIAN
  { 0x7F, 0xEF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
#else
  { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xEF, 0x7F }
#endif
};
/**	Maximum double value for internal use.
*/
#define	dk3ma_i_max_double	__dk3ma_max_double.d
#else
#ifndef DK3_MAX_DOUBLE
#define	DK3_MAX_DOUBLE 1.7e308
#endif
/**	Maximum double value for internal use.
*/
#define	dk3ma_i_max_double	DK3_MAX_DOUBLE
#endif



double
dk3ma_d_abs(double x)
{
#if DK3_HAVE_FABS
  return (fabs(x));
#else
  return ((0.0 <= x) ? x : (0.0 - x));
#endif
}



double
dk3ma_d_rint(double x)
{
#if DK3_HAVE_RINT
  return (rint(x));
#else
  return (floor(x + 0.5));
#endif
}



double
dk3ma_d_add_ok(double a, double b, int *ec)
{
  

#line 231 "dk3mad.ctr"
  if (NULL != ec) {
    if ((0.0 < a) && (0.0 < b)) {
      if ((dk3ma_i_max_double - a) < b) {
        

#line 235 "dk3mad.ctr"
        *ec = DK3_ERROR_MATH_OVERFLOW;
      }
    } else {
      if ((0.0 > a) && (0.0 > b)) {
        if (   (   (-1.0 * dk3ma_i_max_double) - a )   > b   ) {
	  

#line 241 "dk3mad.ctr"
	  *ec = DK3_ERROR_MATH_OVERFLOW;
	}
      }
    }
  } 

#line 246 "dk3mad.ctr"
  return (a + b);
}



double
dk3ma_d_sub_ok(double a, double b, int *ec)
{
  

#line 255 "dk3mad.ctr"
  if (NULL != ec) {
    if ((0.0 < a) && (0.0 > b)) {
      if(  (dk3ma_i_max_double + b)  <  a  ) {
        

#line 259 "dk3mad.ctr"
        *ec = DK3_ERROR_MATH_OVERFLOW;
      }
    } else {
      if ((0.0 > a) && (0.0 < b)) {
        if (  (  (-1.0 * dk3ma_i_max_double)  +  b  )   >   a  ) {
	  

#line 265 "dk3mad.ctr"
	  *ec = DK3_ERROR_MATH_OVERFLOW;
	}
      }
    }
  } 

#line 270 "dk3mad.ctr"
  return (a - b);
}



double
dk3ma_d_mul_ok(double a, double b, int *ec)
{
  

#line 279 "dk3mad.ctr"
  if (ec) {
    if (dk3ma_d_abs(a) > 1.0) {
      if (  (dk3ma_i_max_double / dk3ma_d_abs(a))  <  dk3ma_d_abs(b)  ) {
        

#line 283 "dk3mad.ctr"
        *ec = DK3_ERROR_MATH_OVERFLOW;
      }
    }
  } 

#line 287 "dk3mad.ctr"
  return (a * b);
}



double
dk3ma_d_div_ok(double a, double b, int *ec)
{
#if DK3_HAVE_FPCLASSIFY && defined(FP_ZERO)
  if (FP_ZERO == fpclassify(b)) {
    if (NULL != ec) { *ec = DK3_ERROR_MATH_DIVZERO; }
    if (FP_ZERO == fpclassify(a)) {
      return (NAN);
    } else {
      if (0.0 <= a) {
        return (INFINITY);
      } else {
        return (-INFINITY);
      }
    }
  } else {
    if (dk3ma_d_abs(b) >= 1.0) {
      return (a / b);
    } else {
      if ((dk3ma_i_max_double * dk3ma_d_abs(b)) < dk3ma_d_abs(a)) {
        if (ec) {			

#line 313 "dk3mad.ctr"
	  *ec = DK3_ERROR_MATH_OVERFLOW;
	}
	if (((0.0 <= a) && (0.0 <= b)) || ((0.0 > a) && (0.0 > b))) {
	  return (INFINITY);
	} else {
	  return (-INFINITY);
	}
      } else {
        return (a / b);
      }
    }
  }
#else
#if DK3_ON_WINDOWS
  switch(_fpclass(b)) {
    case _FPCLASS_NZ:
    case _FPCLASS_PZ: {
      if (ec) {					

#line 331 "dk3mad.ctr"
        *ec = DK3_ERROR_MATH_DIVZERO;
      }
      switch(_fpclass(a)) {
        case _FPCLASS_NZ:
	case _FPCLASS_PZ: {
#if defined(NAN)
	  return (NAN);
#else
	  return (dk3ma_i_max_double);
#endif
	} break;
	default: {
	  if (0.0 <= a) {
	    return (HUGE_VAL);
	  } else {
	    return (-HUGE_VAL);
	  }
	} break;
      }
    } break;
    default: {
      if (dk3ma_d_abs(b) >= 1.0) {
        return (a / b);
      } else {
        if ((dk3ma_i_max_double * dk3ma_d_abs(b)) < dk3ma_d_abs(a)) {
          if (ec) {				

#line 357 "dk3mad.ctr"
	    *ec = DK3_ERROR_MATH_OVERFLOW;
	  }
	  if (((0.0 <= a) && (0.0 <= b)) || ((0.0 > a) && (0.0 > b))) {
	    return (HUGE_VAL);
	  } else {
	    return (-HUGE_VAL);
	  }
	} else {
	  return (a / b);
	}
      }
    } break;
  }
#else
  if (dk3ma_d_abs(b) >= 1.0) {
    return (a / b);
  } else {
    if ((dk3ma_i_max_double * dk3ma_d_abs(b)) < dk3ma_d_abs(a)) {
      if (ec) {				

#line 376 "dk3mad.ctr"
        *ec = DK3_ERROR_MATH_OVERFLOW;
      }
      if (((0.0 <= a) && (0.0 <= b)) || ((0.0 > a) && (0.0 > b))) {
#ifdef INFINITY
	return (INFINITY);
#else
#ifdef HUGE_VAL
	return (HUGE_VAL);
#else
	return (dk3ma_i_max_double);
#endif
#endif
      } else {
#ifdef INFINITY
	return (-INFINITY);
#else
#ifdef HUGE_VAL
	return (-HUGE_VAL);
#else
	return (-1.0 * dk3ma_i_max_double);
#endif
#endif
      }
    } else {
      return (a / b);
    }
  }
#endif
#endif
}



double
dk3ma_d_square_ok(double x, int *ec)
{
#if 0
  double back = -1.0;
  

#line 415 "dk3mad.ctr"
  if (0.0 <= x) {
    back = sqrt(x);
  } else {
    if (NULL != ec) {				

#line 419 "dk3mad.ctr"
      *ec = DK3_ERROR_MATH_OUT_OF_RANGE;
    }
  } 

#line 422 "dk3mad.ctr"
  return back;
#else
  return (dk3ma_d_mul_ok(x, x, ec));
#endif
}



int
dk3ma_d_equal(double a, double b, double epsilon)
{
  int	back	= 0;
  int	ec	= 0;
  if (dk3ma_d_abs(dk3ma_d_sub_ok(a, b, &ec)) < epsilon) {
    if (0 == ec) {
      back = 1;
    }
  }
  return back;
}



double
dk3ma_d_atan2(double y, double x)
{
#if DK3_HAVE_ATAN2
  double		 back;
  

#line 451 "dk3mad.ctr"
  back = atan2(y, x);	

#line 452 "dk3mad.ctr"
  while (back < 0.0) { back += (2.0 * M_PI); }
  while (back > (2.0 * M_PI)) { back -= (2.0 * M_PI); }
  

#line 455 "dk3mad.ctr"
  return back;
#else
  double		 back = -5.0 * M_PI;
  double		 v;
  

#line 460 "dk3mad.ctr"
  v = dk3ma_d_div_ok(y, x, &mec);
  if (mec) {			

#line 462 "dk3mad.ctr"
    if(y < 0.0) {		

#line 463 "dk3mad.ctr"
      back = 1.5 * M_PI;
    } else {			

#line 465 "dk3mad.ctr"
      back = 0.5 * M_PI;
    }
  } else {			

#line 468 "dk3mad.ctr"
    back = atan(v);
    if (x < 0.0) {		

#line 470 "dk3mad.ctr"
      back += M_PI;
    }
  }	

#line 473 "dk3mad.ctr"
  while (back < 0.0) { back += (2.0 * M_PI); }
  while (back > (2.0 * M_PI)) { back -= (2.0 * M_PI); }
  

#line 476 "dk3mad.ctr"
  return back;
#endif
}



double
dk3ma_d_restrict_digits(double x, size_t n)
{
  double	back;
  double	newval;
  size_t	i;
  size_t	mult;
  int		ec	= 0;

  back = x;
  mult = 0;
  /*	Multiplications
  */
  for (i = 0; ((0 == ec) && (i < n)); i++) {
    newval = dk3ma_d_mul_ok(back, 10.0, &ec);
    if (0 == ec) {
      back = newval;
      mult++;
    }
  }
  /*	Rounding
  */
  back = dk3ma_d_rint(back);
  /*	Divisions
  */
  for (i = 0; i < mult; i++) {
    back = back / 10.0;
  }
  return back;
}



double
dk3ma_d_restrict_digits_ceil(double x, size_t n)
{
  double	back;
  double	newval;
  size_t	i;
  size_t	mult;
  int		ec	= 0;

  back = x;
  mult = 0;
  /*	Multiplications
  */
  for (i = 0; ((0 == ec) && (i < n)); i++) {
    newval = dk3ma_d_mul_ok(back, 10.0, &ec);
    if (0 == ec) {
      back = newval;
      mult++;
    }
  }
  /*	Rounding
  */
  back = ceil(back);
  /*	Divisions
  */
  for (i = 0; i < mult; i++) {
    back = back / 10.0;
  }
  return back;
}



double
dk3ma_d_restrict_digits_floor(double x, size_t n)
{
  double	back;
  double	newval;
  size_t	i;
  size_t	mult;
  int		ec	= 0;

  back = x;
  mult = 0;
  /*	Multiplications
  */
  for (i = 0; ((0 == ec) && (i < n)); i++) {
    newval = dk3ma_d_mul_ok(back, 10.0, &ec);
    if (0 == ec) {
      back = newval;
      mult++;
    }
  }
  /*	Rounding
  */
  back = floor(back);
  /*	Divisions
  */
  for (i = 0; i < mult; i++) {
    back = back / 10.0;
  }
  return back;
}