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%%	options

copyright owner	=	Dirk Krause
copyright year	=	2018-xxxx
SPDX-License-Identifier:	BSD-3-Clause


%%	header

/**	@file	wxd2lxs.h	X-spline handling in wxd2lat.
*/

#ifndef	DK4ERROR_H_INCLUDED
#include "dk4error.h"
#endif

#ifndef	WXDTYPES_H_INCLUDED
#include "wxdtypes.h"
#endif

#ifdef	__cplusplus
extern "C" {
#endif


/**	Set up X-spline segment structure from X-spline data object.
	@param	xs		X-spline segment structure to set up.
	@param	pobj	X-spline object to obtain data from.
	@param	ib		Segment number.
*/

void
wxd2lxs_set_xspline(
	dk4_xsp_2d_t	*xs,
	wxd_object_t	*pobj,
	uint16_t		 ib
);


/**	Check spline object, if necessary calculate the segment lengths.
	@param	job		Job structure.
	@param	drw		Drawing structure.
	@param	pobj	Object to process.
	@paam	backptr	Address of success variable to reset on error.
*/
void
wxd2lxs_calculate_spline_segments(
	wxd2lat_job_t	*job,
	wxd_object_t	*pobj,
	int				*backptr
);


/**	Calculate coordinates and optionally direction for a given t value.
	This function can only be used for open splines with at least one
	arrowhead attached.
	@param	rp		Address of result variable to set on success.
					If d=0 a 2 elements array is required to store x and y.
					If d!=0 a 3 elements array is required to store
					x, y and alpha (direction angle).
	@param	pobj	X-spline object.
	@param	t		Parameter t.
	@param	d		Flag: Calculate derivative values.
	@param	erp		Error report, may be NULL.
	@return	1 on success, 0 on error (calculation failed).
*/

int
wxd2lxs_calculate(
	double			*rp,
	wxd_object_t	*pobj,
	double			 t,
	int				 d,
	dk4_er_t		*erp
);


/**	Calculate partial X-spline length from 0 to a given t value.
	This function can only be used for open splines with at least one
	arrowhead attached.
	@param	rp		Address of result variable to set on success.
	@param	pobj	X-spline object.
	@param	t		Parameter t.
	@param	eps		Required precision.
	@param	erp		Error report, may be NULL.
	@return	1 on success, 0 on error (calculation failed).
*/

int
wxd2lxs_length_to_parameter(
	double			*rp,
	wxd_object_t	*pobj,
	double			 t,
	double			 eps,
	dk4_er_t		*erp
);


/**	Find t parameter for a given partial X-spline length l.
	@param	rp		Address of result variable for t value.
	@param	pobj	Open X-spline with arrowhead(s).
	@param	l		Length to search to for.
	@param	xslp	Precision for length calculation.
	@param	xspp	Iteration precision for t.
	@param	erp		Error report, may be NULL.
	@return	1 on success, 0 on error.
*/

int
wxd2lxs_parameter_for_length(
	double			*rp,
	wxd_object_t	*pobj,
	double			 l,
	double			 xslp,
	double			 xspp,
	dk4_er_t		*erp
);


#ifdef	__cplusplus
}
#endif

/* vim: set ai sw=4 ts=4 : */

%%	module


#ifndef	WXD2LAT_H_INCLUDED
#include "wxd2lat.h"
#endif



$!trace-include



void
wxd2lxs_set_xspline(
	dk4_xsp_2d_t	*xs,
	wxd_object_t	*pobj,
	uint16_t		 ib
)
{
	wxd_spline_point_t	*p;
	uint16_t			 n;
	uint16_t			 ia;
	uint16_t			 ic;
	uint16_t			 id;

	if ((NULL != xs) && (NULL != pobj)) {
		if (
			((WXD_OT_C_SPLINE == pobj->ot) && (ib < (pobj->det).s.n))
			|| ((WXD_OT_O_SPLINE) && (ib < ((pobj->det).s.n) - (uint16_t)1U))
		) {
			p  = (pobj->det).s.p;
			n  = (pobj->det).s.n;
			ia = ib - 1;
			ic = ib + 1;
			id = ib + 2;
			if ((uint16_t)0U == ib) {
				ia = n - (uint16_t)1U;
			}
			else {
				if (n - (uint16_t)1U == ib) {
					ic = (uint16_t)0U;
					id = (uint16_t)1U;
				}
				else {
					if (n - (uint16_t)2U == ib) {
						id = (uint16_t)0U;
					}
				}
			}
			dk4xsp2d_reset(xs);
#if 0
			dk4xsp2d_reset_points(xs);
#endif
			dk4xsp2d_set_point(xs, p[ib].x, p[ib].y, p[ib].s, 1);
			dk4xsp2d_set_point(xs, p[ic].x, p[ic].y, p[ic].s, 2);
			if (((uint16_t)0U < ib) || (WXD_OT_C_SPLINE == pobj->ot)) {
				dk4xsp2d_set_point(xs, p[ia].x, p[ia].y, p[ia].s, 0);
			}
			if ((n - (uint16_t)2U > ib) || (WXD_OT_C_SPLINE == pobj->ot)) {
				dk4xsp2d_set_point(xs, p[id].x, p[id].y, p[id].s, 3);
			}
		}
	}
}



int
wxd2lxs_calculate(
	double			*rp,
	wxd_object_t	*pobj,
	double			 t,
	int				 d,
	dk4_er_t		*erp
)
{
	dk4_xsp_2d_t	 xs;
	double			 val[4];
	double			 t1;
	double			 t2;
	size_t			 ib;
#if	VERSION_BEFORE_20190110
	size_t			 ia;
	size_t			 ic;
	size_t			 id;
#endif
	int				 back = 0;
	int				 res;
	$? "+ wxd2lxs_calculate"
	/*
		Check arguments
	*/
	if ((NULL == rp) || (NULL == pobj) || (WXD_OT_O_SPLINE != pobj->ot)) {
		dk4error_set_simple_error_code(erp, DK4_E_INVALID_ARGUMENTS);
		goto finished;
	}
	if ((0.0 > t) || ((double)((pobj->det).s.n) < t)) {
		dk4error_set_simple_error_code(erp, DK4_E_INVALID_ARGUMENTS);
		goto finished;
	}
	if (NULL == (pobj->det).s.sl) {
		dk4error_set_simple_error_code(erp, DK4_E_INVALID_ARGUMENTS);
		goto finished;
	}
	/*	Calculate indices
	*/
	ib = (size_t)floor(t);
	t  = t - (double)ib;
#if VERSION_BEFORE_20190110
	ic = ib + 1;
	id = ib + 2;
	ia = ib - 1;
	/*
		Set up X-spline
	*/
	dk4xsp2d_reset(&xs);
	dk4xsp2d_reset_points(&xs);
	if ((size_t)0U < ib) {
		dk4xsp2d_set_point(
			&xs,
			((pobj->det).s.p)[ia].x, ((pobj->det).s.p)[ia].y,
			((pobj->det).s.p)[ia].s, 0
		);
	}
	dk4xsp2d_set_point(
		&xs,
		((pobj->det).s.p)[ib].x, ((pobj->det).s.p)[ib].y,
		((pobj->det).s.p)[ib].s, 1
	);
	dk4xsp2d_set_point(
		&xs,
		((pobj->det).s.p)[ic].x, ((pobj->det).s.p)[ic].y,
		((pobj->det).s.p)[ic].s, 2
	);
	if ((pobj->det).s.n - 2 > ib) {
		dk4xsp2d_set_point(
			&xs,
			((pobj->det).s.p)[id].x, ((pobj->det).s.p)[id].y,
			((pobj->det).s.p)[id].s, 3
		);
	}
#else
	wxd2lxs_set_xspline(&xs, pobj, ib);
#endif
	/*
		Retrieve values
	*/
	if (0 != d) {
		res = dk4xsp2d_calculate_value_derivative(val, &xs, t, erp);
	}
	else {
		res = dk4xsp2d_calculate_value(val, &xs, t, erp);
	}
	if (0 == res) {
		goto finished;
	}
	/*	Transfer x and y
	*/
	if (0 != d) {
		rp[0] = val[0];
		rp[1] = val[2];
		if ((1.0e-8 < fabs(val[1])) || (1.0e-8 < fabs(val[3]))) {
			rp[2] = atan2(val[3], val[1]);
			back = 1;
			if (0 == dk4ma_is_finite(rp[2])) {
				t1 = t2 = t;
				if ((1.0/64.0) < t)			{ t1 = t - (1.0/64.0); }
				if ((1.0 - 1.0/64.0) > t)	{ t2 = t + (1.0/64.0); }
				if (0 != dk4xsp2d_calculate_value(val, &xs, t1, erp)) {
					if (0 != dk4xsp2d_calculate_value(&(val[2]),&xs,t2,erp)) {
						rp[2] = atan2((val[3] - val[1]), (val[2] - val[0]));
						back = 1;
					}
				}
			}
		}
		else {
			t1 = t2 = t;
			if ((1.0/64.0) < t)			{ t1 = t - (1.0/64.0); }
			if ((1.0 - 1.0/64.0) > t)	{ t2 = t + (1.0/64.0); }
			if (0 != dk4xsp2d_calculate_value(val, &xs, t1, erp)) {
				if (0 != dk4xsp2d_calculate_value(&(val[2]), &xs, t2, erp)) {
					rp[2] = atan2((val[3] - val[1]), (val[2] - val[0]));
					back = 1;
				}
			}
		}
	}
	else {
		rp[0] = val[0];
		rp[1] = val[1];
		back = 1;
	}
finished:
	$? "- wxd2lxs_calculate %d", back
	return back;
}



int
wxd2lxs_length_to_parameter(
	double			*rp,
	wxd_object_t	*pobj,
	double			 t,
	double			 eps,
	dk4_er_t		*erp
)
{
	dk4_xsp_2d_t	 xs;
	double			 v		= 0.0;
	double			 pv		= 0.0;
	size_t			 i;
#if	VERSION_BEFORE_20190110
	size_t			 ia;
	size_t			 ic;
	size_t			 id;
#endif
	size_t			 ib;
	int				 back	= 0;
	$? "+ wxd2lxs_length_to_parameter %g", t
	/*
		Check arguments
	*/
	if ((NULL == rp) || (NULL == pobj) || (WXD_OT_O_SPLINE != pobj->ot)) {
		$? "! args"
		dk4error_set_simple_error_code(erp, DK4_E_INVALID_ARGUMENTS);
		goto finished;
	}
	if ((0.0 > t) || ((double)((pobj->det).s.n) < t)) {
		$? "! args"
		dk4error_set_simple_error_code(erp, DK4_E_INVALID_ARGUMENTS);
		goto finished;
	}
	if (NULL == (pobj->det).s.sl) {
		$? "! args"
		dk4error_set_simple_error_code(erp, DK4_E_INVALID_ARGUMENTS);
		goto finished;
	}
	/*	Sum up complete segments.
	*/
	back = 1;
	ib = (size_t)floor(t);
	for (i = (size_t)0U; i < ib; i++) {
		v += ((pobj->det).s.sl)[i];
	}	$? ". sum of %u segments: %g", (unsigned)ib, v
	/*	Calculate partial segment.
	*/
	t -= (double)ib;
	if (0.0 < t) {
#if	VERSION_BEFORE_20190110
		ia = ib - (size_t)1U;
		ic = ib + (size_t)1U;
		id = ib + (size_t)2U;
		dk4xsp2d_reset(&xs);
		dk4xsp2d_reset_points(&xs);
		dk4xsp2d_set_point(
			&xs, ((pobj->det).s.p)[ib].x, ((pobj->det).s.p)[ib].y,
			((pobj->det).s.p)[ib].s, 1
		);
		dk4xsp2d_set_point(
			&xs, ((pobj->det).s.p)[ic].x, ((pobj->det).s.p)[ic].y,
			((pobj->det).s.p)[ic].s, 2
		);
		if ((size_t)0U < ib) {
			dk4xsp2d_set_point(
				&xs, ((pobj->det).s.p)[ia].x, ((pobj->det).s.p)[ia].y,
				((pobj->det).s.p)[ia].s, 0
			);
		}
		if ((size_t)((pobj->det).s.n) - (size_t)2U > ib) {
			dk4xsp2d_set_point(
				&xs, ((pobj->det).s.p)[id].x, ((pobj->det).s.p)[id].y,
				((pobj->det).s.p)[id].s, 3
			);
		}
#else
		wxd2lxs_set_xspline(&xs, pobj, ib);
#endif
		back = dk4xsp2d_calculate_partial_length(&pv, &xs, t, eps, erp);
		if (0 != back) {
			v += pv;		$? ". partial segment length %g", pv
		}
#if	TRACE_DEBUG
		else {							$? "! calculation"
		}
#endif
	}
	if (0 != back) {
		if (0 != dk4ma_is_finite(v)) {
			*rp = v;					$? ". result = %g", v
		}
		else {
			back = 0;
			dk4error_set_simple_error_code(erp, DK4_E_MATH_OVERFLOW);
		}
	}

finished:
	$? "- wxd2lxs_length_to_parameter %d", back
	return back;
}



/**	Function used in iteration.
	@param	d	Address of destination variable for function value at x.
	@param	x	X position (the t parameter).
	@param	ps	A wxd2lxs_iter_t containing X-spline object, length
				and precision.
	@return	1 on success, 0 on error.
*/

static
int
iter_fct(double *d, double x, const void *ps)
{
	const wxd2lxs_iter_t	*piter;
	double					 v;
	int						 back = 0;

	piter = (const wxd2lxs_iter_t *)ps;
	back = wxd2lxs_length_to_parameter(
		&v, piter->pobj, x, piter->xslp, piter->erp
	);
	if (0 != back) {
		*d = v - piter->l;
	}
	return back;
}



int
wxd2lxs_parameter_for_length(
	double			*rp,
	wxd_object_t	*pobj,
	double			 l,
	double			 xslp,
	double			 xspp,
	dk4_er_t		*erp
)
{
	wxd2lxs_iter_t		 iter;
	dk4_iter_ctx_t		 ctx;
	unsigned long		 pp		= 0UL;
	int					 back	= 0;
	int					 res;
	$? "+ wxd2lxs_parameter_for_length %g", l
	/*
		Check arguments.
	*/
	if ((NULL == rp) || (NULL == pobj)) {		$? "! args"
		dk4error_set_simple_error_code(erp, DK4_E_INVALID_ARGUMENTS);
		goto finished;
	}
	if ((0.0 >= xslp) || (0.0 >= xspp)) {		$? "! args"
		dk4error_set_simple_error_code(erp, DK4_E_INVALID_ARGUMENTS);
		goto finished;
	}
	if ((0.0 > l) || ((pobj->det).s.suml < l)) {
		$? "! args"
		dk4error_set_simple_error_code(erp, DK4_E_INVALID_ARGUMENTS);
		goto finished;
	}
	/*	Set up iteration structures
	*/
	iter.pobj	= pobj;
	iter.l		= l;
	iter.xslp	= xslp;
	iter.erp	= erp;
	dk4iter_ctx_init(&ctx);
	dk4iter_ctx_set_eps_x(&ctx, xspp);
	dk4iter_ctx_set_eps_y(&ctx, xspp);
	dk4iter_ctx_set_maxpass(&ctx, 1024UL);
	dk4iter_ctx_set_exact(&ctx, 0);
	dk4iter_ctx_set_algorithm(&ctx, DK4_ITER_ALG_RF_ANDERSON_BJOERCK);
	dk4iter_ctx_set_min(&ctx, 0.0);
	dk4iter_ctx_set_max(&ctx, (double)((pobj->det).s.n - (uint16_t)1U));
	/*
		Run iteration
	*/
	$? ". run iteration"
	res = dk4iter_interval(
		rp, &pp, iter_fct, (const void *)(&iter),
		0.0,  (double)((pobj->det).s.n - (uint16_t)1U), &ctx
	);
	/*	Process iteration result
	*/
	if (DK4_ITER_RESULT_SUCCESS == res) {
		back = 1;	$? ". success after %lu passes", pp
	}
#if	TRACE_DEBUG
	else {		$? "! iteration failed %d", res
	}
#endif

finished:
	$? "- wxd2lxs_parameter_for_length %d", back
	return back;
}



void
wxd2lxs_calculate_spline_segments(
	wxd2lat_job_t	*job,
	wxd_object_t	*pobj,
	int				*backptr
)
{
	dk4_xsp_2d_t	xsp;
	dk4_er_t		er;
	size_t			nelem;
	uint16_t		i;
	int				res;
	int				failed;
	$? "+ wxd2lxs_calculate_spline_segments"
	failed = 0;
	if (((uint16_t)1U < (pobj->det).s.n) && (NULL == (pobj->det).s.sl)) {
		nelem = (size_t)((pobj->det).s.n - (uint16_t)1U);
		(pobj->det).s.sl = dk4mem_new(double,nelem,NULL);
		if (NULL != (pobj->det).s.sl) {
			dk4xsp2d_reset(&xsp);
			(pobj->det).s.suml = 0.0;
			for (i = 0; i < nelem; i++) {
				((pobj->det).s.sl)[i] = 0.0;
				/*
					Calculate segment length
				*/
#if	VERSION_BEFORE_20190110
				dk4xsp2d_reset_points(&xsp);
				dk4xsp2d_set_point(
					&xsp, ((pobj->det).s.p)[i].x, ((pobj->det).s.p)[i].y,
					((pobj->det).s.p)[i].s, 1
				);
				dk4xsp2d_set_point(
					&xsp, ((pobj->det).s.p)[i+1].x, ((pobj->det).s.p)[i+1].y,
					((pobj->det).s.p)[i+1].s, 2
				);
				if (0 < i) {			$? ". not left outer segment"
					dk4xsp2d_set_point(
						&xsp, ((pobj->det).s.p)[i-1].x,((pobj->det).s.p)[i-1].y,
						((pobj->det).s.p)[i-1].s, 0
					);
				}
				if (nelem - 1 > i) {	$? ". not right outer segment"
					dk4xsp2d_set_point(
						&xsp, ((pobj->det).s.p)[i+2].x,((pobj->det).s.p)[i+2].y,
						((pobj->det).s.p)[i+2].s, 3
					);
				}
#else
				wxd2lxs_set_xspline(&xsp, pobj, i);
#endif
				res = dk4xsp2d_calculate_length(
					&(((pobj->det).s.sl)[i]), &xsp, (job->grco).xslp, NULL
				);
				if (0 != res) {
					$? ". seg %u length %g", i, ((pobj->det).s.sl)[i]
					(pobj->det).s.suml += ((pobj->det).s.sl)[i];
				}
				else {		$? "! segment length calculation failed"
					*backptr = 0;
					failed = 1;
					/* ERROR: Segment length calculation failed */
					dk4app_log_1(
						job->app, job->msg, job->sz_msg, DK4_LL_ERROR, 79
					);
				}
			}
			$? ". spline length = %g", (pobj->det).s.suml
			if (0 == failed) {
				(pobj->det).s.ts = 0.0;
				(pobj->det).s.te = (pobj->det).s.suml;
				if (0 != (pobj->ab).type) {
					dk4error_init(&er);
					res = wxd2lxs_parameter_for_length(
						&((pobj->det).s.ts), pobj, (pobj->ab).cut,
						(job->grco).xslp, (job->grco).xspp, &er
					);
					if (0 == res) {		$? "! cut failed"
						(pobj->det).s.ts = -1.0;
						*backptr = 0;
						/* ERROR: Cut calculation failed */
						dk4app_log_1(
							job->app, job->msg, job->sz_msg, DK4_LL_ERROR, 80
						);
					}
					else {				$? ". ts = %g", (pobj->det).s.ts
					}
				}
				if (0 != (pobj->af).type) {
					dk4error_init(&er);
					res = wxd2lxs_parameter_for_length(
						&((pobj->det).s.te), pobj,
						((pobj->det).s.suml - (pobj->af).cut),
						(job->grco).xslp, (job->grco).xspp, &er
					);
					if (0 == res) {		$? "! cut failed"
						(pobj->det).s.te = -1.0;
						*backptr = 0;
						/* ERROR: Cut calculation failed */
						dk4app_log_1(
							job->app, job->msg, job->sz_msg, DK4_LL_ERROR, 80
						);
					}
					else {				$? ". te = %g", (pobj->det).s.te
					}
				}
			}
		}
		else {				$? "! memory"
			/* ERROR: Memory allocation failed */
			dk4app_log_1(
				job->app, job->msg, job->sz_msg, DK4_LL_ERROR, 81
			);
			*backptr = 0;
		}
	}
#if	TRACE_DEBUG
	else {					$? "! args"
	}
#endif
	$? "- wxd2lxs_calculate_spline_segments"
}




/* vim: set ai sw=4 ts=4 : */