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/*
Copyright (C) 2012-2020, 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: dk3bezcu.ctr
*/

/**	@file dk3bezcu.c The dk3bezcu module.
*/


#line 62 "dk3bezcu.ctr"

#include "dk3all.h"
#include "dk3bb.h"
#include "dk3bezcu.h"





#line 70 "dk3bezcu.ctr"



#if !(defined(isgreaterequal))
#if DK3_HAVE_ISFINITE
/**	Test whether a is greater than or equal to b. */
#define	isgreaterequal(a,b) ((isfinite(a)) && (isfinite(b)) && (a >= b))
#else
#if DK3_HAVE__FINITE
/**	Test whether a is greater than or equal to b. */
#define	isgreaterequal(a,b) ((_finite(a)) && (_finite(b)) && (a >= b))
#else
/**	Test whether a is greater than or equal to b. */
#define	isgreaterequal(a,b) (a >= b)
#endif
#endif
#endif



#if !(defined(islessequal))
#if DK3_HAVE_ISFINITE
/**	Test whether a is less than or equal to b. */
#define	islessequal(a,b) ((isfinite(a)) && (isfinite(b)) && (a <= b))
#else
#if DK3_HAVE__FINITE
/**	Test whether a is less than or equal to b. */
#define	islessequal(a,b) ((_finite(a)) && (_finite(b)) && (a <= b))
#else
/**	Test whether a is less than or equal to b. */
#define	islessequal(a,b) (a <= b)
#endif
#endif
#endif



double
dk3bezier_value(
  double x0, double xp, double xm, double x1, double t, int *ec
)
{
  int		mec = 0;
  double	back;
  

#line 115 "dk3bezcu.ctr"
  back = dk3ma_d_add_ok(
    x0,
    dk3ma_d_mul_ok(
      t,
      dk3ma_d_add_ok(
        dk3ma_d_sub_ok(
	  dk3ma_d_mul_ok(3.0, xp, &mec),
	  dk3ma_d_mul_ok(3.0, x0, &mec),
	  &mec
	),
	dk3ma_d_mul_ok(
	  t,
	  dk3ma_d_add_ok(
	    dk3ma_d_add_ok(
	      dk3ma_d_sub_ok(
	        dk3ma_d_mul_ok(3.0, xm, &mec),
		dk3ma_d_mul_ok(6.0, xp, &mec),
		&mec
	      ),
	      dk3ma_d_mul_ok(3.0, x0, &mec),
	      &mec
	    ),
	    dk3ma_d_mul_ok(
	      t,
	      dk3ma_d_add_ok(
	        dk3ma_d_sub_ok(
		  dk3ma_d_mul_ok(3.0, xp, &mec),
		  dk3ma_d_mul_ok(3.0, xm, &mec),
		  &mec
		),
		dk3ma_d_sub_ok(x1, x0, &mec),
		&mec
	      ),
	      &mec
	    ),
	    &mec
	  ),
	  &mec
	),
	&mec
      ),
      &mec
    ),
    &mec
  );			

#line 160 "dk3bezcu.ctr"
  if(mec) {
    if(ec) { *ec = mec; }
  }
  

#line 164 "dk3bezcu.ctr"
  return back;
}



/**	Apply one t value to a bounding box.
	@param	bb	Bounding box to modify.
	@param	x0	Start value.
	@param	xp	Control value for start.
	@param	xm	Control value for end.
	@param	x1	End value.
	@param	ra	Point radius (half line width).
	@param	tv	The t value.
	@param	isy	Flag: Y direction.
	@param	ec	Pointer to error code variable, may be NULL.
	@return	1 on success, 0 on error.
*/
static
int
dk3bezier_t_dimension(
  dk3_bb_t	*bb,
  double	 x0,
  double	 xp,
  double	 xm,
  double	 x1,
  double	 ra,
  double	 tv,
  int		 isy,
  int		*ec
)
{
  double	 val;
  int		 back = 1;
  int		 mec = 0;
  

#line 199 "dk3bezcu.ctr"
  if(tv > 0.0) {
    if(tv < 1.0) {
      val = dk3bezier_value(x0, xp, xm, x1, tv, &mec); 

#line 202 "dk3bezcu.ctr"
      if(isy) {
        if(!dk3bb_add_y_width(bb, val, ra)) { back = 0; }
      } else {
        if(!dk3bb_add_x_width(bb, val, ra)) { back = 0; }
      }
    }
  }
  if(mec) {		

#line 210 "dk3bezcu.ctr"
    back = 0;
    if(ec) { *ec = mec; }
  } 

#line 213 "dk3bezcu.ctr"
  return back;
}



#if VERSION_BEFORE_20121218
/**	Apply one dimension to a bounding box.
	@param	bb	Bounding box to modify.
	@param	x0	Start value.
	@param	xp	Control value for start.
	@param	xm	Control value for end.
	@param	x1	End value.
	@param	ra	Point radius (half line width).
	@param	isy	Flag: Y direction.
	@param	ec	Pointer to error code variable, may be NULL.
	@return	1 on success, 0 on error.
*/
static
int
dk3bezier_bb_dimension(
  dk3_bb_t	*bb,
  double	 x0,
  double	 xp,
  double	 xm,
  double	 x1,
  double	 ra,
  int		 isy,
  int		*ec
)
{
  double	 n;
  double	 z1;
  double	 z2;
  double	 t;
  int		 back = 1;
  int		 mec = 0;
  

#line 250 "dk3bezcu.ctr"
  n = dk3ma_d_add_ok(
    dk3ma_d_sub_ok(x1, x0, &mec),
    dk3ma_d_mul_ok(3.0, dk3ma_d_sub_ok(xp, xm, &mec), &mec),
    &mec
  );	

#line 255 "dk3bezcu.ctr"
  z1 = dk3ma_d_sub_ok(
    dk3ma_d_sub_ok(dk3ma_d_mul_ok(2.0, xp, &mec), xm, &mec),
    x0,
    &mec
  );	

#line 260 "dk3bezcu.ctr"
  z2 = dk3ma_d_add_ok(
    dk3ma_d_sub_ok(
      xm,
      dk3ma_d_mul_ok(2.0, xp, &mec),
      &mec
    ),
    x0,
    &mec
  );	

#line 269 "dk3bezcu.ctr"
  z2 = dk3ma_d_mul_ok(z2, z2, &mec);
  z2 = dk3ma_d_sub_ok(
    z2,
    dk3ma_d_mul_ok(
      dk3ma_d_sub_ok(xp, x0, &mec),
      n,
      &mec
    ),
    &mec
  );	

#line 279 "dk3bezcu.ctr"
  if(z2 >= 0.0) {
    z2 = sqrt(z2);	

#line 281 "dk3bezcu.ctr"
    t = dk3ma_d_div_ok(
      dk3ma_d_add_ok(z1, z2, &mec),
      n,
      &mec
    );	

#line 286 "dk3bezcu.ctr"
    if(!dk3bezier_t_dimension(bb, x0, xp, xm, x1, ra, t, isy, &mec)) {
      back = 0;
    }	

#line 289 "dk3bezcu.ctr"
    t = dk3ma_d_div_ok(
      dk3ma_d_sub_ok(z1, z2, &mec),
      n,
      &mec
    );	

#line 294 "dk3bezcu.ctr"
    if(!dk3bezier_t_dimension(bb, x0, xp, xm, x1, ra, t, isy, &mec)) {
      back = 0;
    }	

#line 297 "dk3bezcu.ctr"
  }
  if(mec) {		

#line 299 "dk3bezcu.ctr"
    back = 0;
    if(ec) { *ec = mec; }
  } 

#line 302 "dk3bezcu.ctr"
  return back;
}
#else
#if	VERSION_BEFORE_20170609
/**	Apply one dimension to a bounding box.
	@param	bb	Bounding box to modify.
	@param	x0	Start value.
	@param	xp	Control value for start.
	@param	xm	Control value for end.
	@param	x1	End value.
	@param	ra	Point radius (half line width).
	@param	isy	Flag: Y direction.
	@param	ec	Pointer to error code variable, may be NULL.
	@return	1 on success, 0 on error.
*/
static
int
dk3bezier_bb_dimension(
  dk3_bb_t	*bb,
  double	 x0,
  double	 xp,
  double	 xm,
  double	 x1,
  double	 ra,
  int		 isy,
  int		*ec
)
{
  double	 n;
  double	 z1;
  double	 z2;
  double	 t;
  int		 back = 1;
  int		 mec = 0;
  int		 testmec;
  

#line 338 "dk3bezcu.ctr"
  n = dk3ma_d_add_ok(
    dk3ma_d_sub_ok(x1, x0, &mec),
    dk3ma_d_mul_ok(3.0, dk3ma_d_sub_ok(xp, xm, &mec), &mec),
    &mec
  );	

#line 343 "dk3bezcu.ctr"
  z1 = dk3ma_d_sub_ok(
    dk3ma_d_sub_ok(dk3ma_d_mul_ok(2.0, xp, &mec), xm, &mec),
    x0,
    &mec
  );	

#line 348 "dk3bezcu.ctr"
  z2 = dk3ma_d_add_ok(
    dk3ma_d_sub_ok(
      xm,
      dk3ma_d_mul_ok(2.0, xp, &mec),
      &mec
    ),
    x0,
    &mec
  );	

#line 357 "dk3bezcu.ctr"
  z2 = dk3ma_d_mul_ok(z2, z2, &mec);
  z2 = dk3ma_d_sub_ok(
    z2,
    dk3ma_d_mul_ok(
      dk3ma_d_sub_ok(xp, x0, &mec),
      n,
      &mec
    ),
    &mec
  );	

#line 367 "dk3bezcu.ctr"
  if(z2 >= 0.0) {
    z2 = sqrt(z2);	

#line 369 "dk3bezcu.ctr"
    testmec = 0;
    t = dk3ma_d_div_ok(
      dk3ma_d_add_ok(z1, z2, &mec),
      n,
      &testmec
    );	

#line 375 "dk3bezcu.ctr"
    if(0 == testmec) {
      if(!dk3bezier_t_dimension(bb, x0, xp, xm, x1, ra, t, isy, &mec)) {
        back = 0;
      }	

#line 379 "dk3bezcu.ctr"
    }
    testmec = 0;
    t = dk3ma_d_div_ok(
      dk3ma_d_sub_ok(z1, z2, &mec),
      n,
      &testmec
    );	

#line 386 "dk3bezcu.ctr"
    if(0 == testmec) {
      if(!dk3bezier_t_dimension(bb, x0, xp, xm, x1, ra, t, isy, &mec)) {
        back = 0;
      }	

#line 390 "dk3bezcu.ctr"
    }
  }
  if(mec) {		

#line 393 "dk3bezcu.ctr"
    back = 0;
    if(ec) { *ec = mec; }
  } 

#line 396 "dk3bezcu.ctr"
  return back;
}
#else
/**	Apply one dimension to a bounding box.
	@param	bb	Bounding box to modify.
	@param	x0	Start value.
	@param	xp	Control value for start.
	@param	xm	Control value for end.
	@param	x1	End value.
	@param	ra	Point radius (half line width).
	@param	isy	Flag: Y direction.
	@param	ec	Pointer to error code variable, may be NULL.
	@return	1 on success, 0 on error.
*/
static
int
dk3bezier_bb_dimension(
  dk3_bb_t	*bb,
  double	 x0,
  double	 xp,
  double	 xm,
  double	 x1,
  double	 ra,
  int		 isy,
  int		*ec
)
{
	double	a;
	double	b;
	double	c;
	double	t1;
	double	t2;
	double	sqop;
	double	sqv;
	double	denom;
	int	back	= 1;
	int	mec	= 0;
	

#line 434 "dk3bezcu.ctr"
	a = x1 - 3.0 * xm + 3.0 * xp - x0;
	b = 3.0 * x0 - 6.0 * xp + 3.0 * xm;
	c = 3.0 * (xp - x0);
	sqop  = b * b - 3.0 * a * c;
	sqv   = sqrt(sqop);
	denom = 3.0 * a;
	t1 = (0.0 - b + sqv) / (denom);
	t2 = (0.0 - b - sqv) / (denom);
#if DK3_HAVE_ISFINITE
	if ((isfinite(t1)) && (isfinite(t2)))
#else
#if DK3_HAVE__FINITE
	if ((_finite(t1)) && (_finite(t2)))
#else
#error	"Neither isfinite() nor _finite() available!"
	if (1)
#endif
#endif
	{		

#line 453 "dk3bezcu.ctr"
		if ((isgreaterequal(t1, 0.0)) && (islessequal(t1, 1.0))) {
      			if(!dk3bezier_t_dimension(
				bb, x0, xp, xm, x1, ra, t1, isy, &mec
				)
			) {
        			back = 0;
      			}	

#line 460 "dk3bezcu.ctr"
		}
		if ((isgreaterequal(t2, 0.0)) && (islessequal(t2, 1.0))) {
      			if(!dk3bezier_t_dimension(
				bb, x0, xp, xm, x1, ra, t2, isy, &mec
				)
			) {
        			back = 0;
      			}	

#line 468 "dk3bezcu.ctr"
		}
	}
	else {		

#line 471 "dk3bezcu.ctr"
		t1 = (0.0 - c) / (2.0 * b);
#if DK3_HAVE_ISFINITE
		if (isfinite(t1))
#else
#if DK3_HAVE__FINITE
		if (_finite(t1))
#else
#error	"Neither isfinite() nor _finite() available!"
		if (1)
#endif
#endif
		{
			if ((isgreaterequal(t1,0.0)) && (islessequal(t1,1.0))) {
      				if(!dk3bezier_t_dimension(
					bb, x0, xp, xm, x1, ra, t1, isy, &mec
					)
				) {
        				back = 0;
      				}	

#line 490 "dk3bezcu.ctr"
			}
		}
#if TRACE_DEBUG
		else {		

#line 494 "dk3bezcu.ctr"
		}
#endif
	}
	if (0 != mec) {
		if (NULL != ec) { *ec = mec; }
		back = 0;
	}	

#line 501 "dk3bezcu.ctr"
	return back;
}
#endif
#endif


int
dk3bezier_bb(
  dk3_bb_t	*bb,
  double	 x0,
  double	 y0,
  double	 xp,
  double	 yp,
  double	 xm,
  double	 ym,
  double	 x1,
  double	 y1,
  double	 ra,
  int		*ec
)
{
  int		 back = 0;
  int		 mec = 0;
  

#line 525 "dk3bezcu.ctr"
  if(bb) {
    back = 1;
    if(!dk3bb_point_width(bb, x0, y0, ra)) {
      back = 0;
    }
    if(!dk3bb_point_width(bb, x1, y1, ra)) {
      back = 0;
    }
    if(!dk3bezier_bb_dimension(bb, x0, xp, xm, x1, ra, 0, &mec)) {
      back = 0;
    }
    if(!dk3bezier_bb_dimension(bb, y0, yp, ym, y1, ra, 1, &mec)) {
      back = 0;
    }
    if(mec) {
      back = 0;
      if(ec) { *ec = mec; }
    }
  } else {
    if(ec) { *ec = DK3_ERROR_INVALID_ARGS; }
  } 

#line 546 "dk3bezcu.ctr"
  return back;
}