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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 : */
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