path: root/support/dktools/dk3mad.c

/*
	WARNING: This file was generated by dkct.
	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
*/

/*
Copyright (C) 2014-2017, Dirk Krause

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:

* Redistributions of source code must retain the above copyright notice,
  this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above opyright notice,
  this list of conditions and the following disclaimer in the documentation
  and/or other materials provided with the distribution.
* Neither the name of the author nor the names of contributors may be used
  to endorse or promote products derived from this software without specific
  prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ``AS IS''
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED.
IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY
DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

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


#line 161 "dk3mad.ctr"

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





#line 168 "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 230 "dk3mad.ctr"
  if (NULL != ec) {
    if ((0.0 < a) && (0.0 < b)) {
      if ((dk3ma_i_max_double - a) < b) {
        

#line 234 "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 240 "dk3mad.ctr"
	  *ec = DK3_ERROR_MATH_OVERFLOW;
	}
      }
    }
  } 

#line 245 "dk3mad.ctr"
  return (a + b);
}



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

#line 254 "dk3mad.ctr"
  if (NULL != ec) {
    if ((0.0 < a) && (0.0 > b)) {
      if(  (dk3ma_i_max_double + b)  <  a  ) {
        

#line 258 "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 264 "dk3mad.ctr"
	  *ec = DK3_ERROR_MATH_OVERFLOW;
	}
      }
    }
  } 

#line 269 "dk3mad.ctr"
  return (a - b);
}



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

#line 278 "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 282 "dk3mad.ctr"
        *ec = DK3_ERROR_MATH_OVERFLOW;
      }
    }
  } 

#line 286 "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 312 "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 330 "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 356 "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 375 "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 414 "dk3mad.ctr"
  if (0.0 <= x) {
    back = sqrt(x);
  } else {
    if (NULL != ec) {				

#line 418 "dk3mad.ctr"
      *ec = DK3_ERROR_MATH_OUT_OF_RANGE;
    }
  } 

#line 421 "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 450 "dk3mad.ctr"
  back = atan2(y, x);	

#line 451 "dk3mad.ctr"
  while (back < 0.0) { back += (2.0 * M_PI); }
  while (back > (2.0 * M_PI)) { back -= (2.0 * M_PI); }
  

#line 454 "dk3mad.ctr"
  return back;
#else
  double		 back = -5.0 * M_PI;
  double		 v;
  

#line 459 "dk3mad.ctr"
  v = dk3ma_d_div_ok(y, x, &mec);
  if (mec) {			

#line 461 "dk3mad.ctr"
    if(y < 0.0) {		

#line 462 "dk3mad.ctr"
      back = 1.5 * M_PI;
    } else {			

#line 464 "dk3mad.ctr"
      back = 0.5 * M_PI;
    }
  } else {			

#line 467 "dk3mad.ctr"
    back = atan(v);
    if (x < 0.0) {		

#line 469 "dk3mad.ctr"
      back += M_PI;
    }
  }	

#line 472 "dk3mad.ctr"
  while (back < 0.0) { back += (2.0 * M_PI); }
  while (back > (2.0 * M_PI)) { back -= (2.0 * M_PI); }
  

#line 475 "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;
}