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+// SPDX-License-Identifier: GPL-2.0-or-later
+/** @file
+ * TODO: insert short description here
+ *//*
+ * Authors:
+ * see git history
+ * Fred
+ *
+ * Copyright (C) 2018 Authors
+ * Released under GNU GPL v2+, read the file 'COPYING' for more information.
+ */
+
+#include <memory>
+#include <glib.h>
+#include <2geom/affine.h>
+#include "livarot/Path.h"
+#include "livarot/path-description.h"
+
+/*
+ * Reassembling polyline segments into cubic bezier patches
+ * thes functions do not need the back data. but they are slower than recomposing
+ * path descriptions when you have said back data (it's always easier with a model)
+ * there's a bezier fitter in bezier-utils.cpp too. the main difference is the way bezier patch are split
+ * here: walk on the polyline, trying to extend the portion you can fit by respecting the treshhold, split when
+ * treshhold is exceeded. when encountering a "forced" point, lower the treshhold to favor splitting at that point
+ * in bezier-utils: fit the whole polyline, get the position with the higher deviation to the fitted curve, split
+ * there and recurse
+ */
+
+
+// algo d'origine: http://www.cs.mtu.edu/~shene/COURSES/cs3621/NOTES/INT-APP/CURVE-APP-global.html
+
+// need the b-spline basis for cubic splines
+// pas oublier que c'est une b-spline clampee
+// et que ca correspond a une courbe de bezier normale
+#define N03(t) ((1.0-t)*(1.0-t)*(1.0-t))
+#define N13(t) (3*t*(1.0-t)*(1.0-t))
+#define N23(t) (3*t*t*(1.0-t))
+#define N33(t) (t*t*t)
+// quadratic b-splines (jsut in case)
+#define N02(t) ((1.0-t)*(1.0-t))
+#define N12(t) (2*t*(1.0-t))
+#define N22(t) (t*t)
+// linear interpolation b-splines
+#define N01(t) ((1.0-t))
+#define N11(t) (t)
+
+
+
+void Path::Simplify(double treshhold)
+{
+ if (pts.size() <= 1) {
+ return;
+ }
+
+ Reset();
+
+ int lastM = 0;
+ while (lastM < int(pts.size())) {
+ int lastP = lastM + 1;
+ while (lastP < int(pts.size())
+ && (pts[lastP].isMoveTo == polyline_lineto
+ || pts[lastP].isMoveTo == polyline_forced))
+ {
+ lastP++;
+ }
+
+ DoSimplify(lastM, lastP - lastM, treshhold);
+
+ lastM = lastP;
+ }
+}
+
+
+#if 0
+// dichomtomic method to get distance to curve approximation
+// a real polynomial solver would get the minimum more efficiently, but since the polynom
+// would likely be of degree >= 5, that would imply using some generic solver, liek using the sturm method
+static double RecDistanceToCubic(Geom::Point const &iS, Geom::Point const &isD,
+ Geom::Point const &iE, Geom::Point const &ieD,
+ Geom::Point &pt, double current, int lev, double st, double et)
+{
+ if ( lev <= 0 ) {
+ return current;
+ }
+
+ Geom::Point const m = 0.5 * (iS + iE) + 0.125 * (isD - ieD);
+ Geom::Point const md = 0.75 * (iE - iS) - 0.125 * (isD + ieD);
+ double const mt = (st + et) / 2;
+
+ Geom::Point const hisD = 0.5 * isD;
+ Geom::Point const hieD = 0.5 * ieD;
+
+ Geom::Point const mp = pt - m;
+ double nle = Geom::dot(mp, mp);
+
+ if ( nle < current ) {
+
+ current = nle;
+ nle = RecDistanceToCubic(iS, hisD, m, md, pt, current, lev - 1, st, mt);
+ if ( nle < current ) {
+ current = nle;
+ }
+ nle = RecDistanceToCubic(m, md, iE, hieD, pt, current, lev - 1, mt, et);
+ if ( nle < current ) {
+ current = nle;
+ }
+
+ } else if ( nle < 2 * current ) {
+
+ nle = RecDistanceToCubic(iS, hisD, m, md, pt, current, lev - 1, st, mt);
+ if ( nle < current ) {
+ current = nle;
+ }
+ nle = RecDistanceToCubic(m, md, iE, hieD, pt, current, lev - 1, mt, et);
+ if ( nle < current ) {
+ current = nle;
+ }
+ }
+
+ return current;
+}
+#endif
+
+static double DistanceToCubic(Geom::Point const &start, PathDescrCubicTo res, Geom::Point &pt)
+{
+ Geom::Point const sp = pt - start;
+ Geom::Point const ep = pt - res.p;
+ double nle = Geom::dot(sp, sp);
+ double nnle = Geom::dot(ep, ep);
+ if ( nnle < nle ) {
+ nle = nnle;
+ }
+
+ Geom::Point seg = res.p - start;
+ nnle = Geom::cross(sp, seg);
+ nnle *= nnle;
+ nnle /= Geom::dot(seg, seg);
+ if ( nnle < nle ) {
+ if ( Geom::dot(sp,seg) >= 0 ) {
+ seg = start - res.p;
+ if ( Geom::dot(ep,seg) >= 0 ) {
+ nle = nnle;
+ }
+ }
+ }
+
+ return nle;
+}
+
+
+/**
+ * Simplification on a subpath.
+ */
+
+void Path::DoSimplify(int off, int N, double treshhold)
+{
+ // non-dichotomic method: grow an interval of points approximated by a curve, until you reach the treshhold, and repeat
+ if (N <= 1) {
+ return;
+ }
+
+ int curP = 0;
+
+ fitting_tables data;
+ data.Xk = data.Yk = data.Qk = nullptr;
+ data.tk = data.lk = nullptr;
+ data.fk = nullptr;
+ data.totLen = 0;
+ data.nbPt = data.maxPt = data.inPt = 0;
+
+ Geom::Point const moveToPt = pts[off].p;
+ MoveTo(moveToPt);
+ Geom::Point endToPt = moveToPt;
+
+ while (curP < N - 1) {
+
+ int lastP = curP + 1;
+ int M = 2;
+
+ // remettre a zero
+ data.inPt = data.nbPt = 0;
+
+ PathDescrCubicTo res(Geom::Point(0, 0), Geom::Point(0, 0), Geom::Point(0, 0));
+ bool contains_forced = false;
+ int step = 64;
+
+ while ( step > 0 ) {
+ int forced_pt = -1;
+ int worstP = -1;
+
+ do {
+ if (pts[off + lastP].isMoveTo == polyline_forced) {
+ contains_forced = true;
+ }
+ forced_pt = lastP;
+ lastP += step;
+ M += step;
+ } while (lastP < N && ExtendFit(off + curP, M, data,
+ (contains_forced) ? 0.05 * treshhold : treshhold,
+ res, worstP) );
+ if (lastP >= N) {
+
+ lastP -= step;
+ M -= step;
+
+ } else {
+ // le dernier a echoue
+ lastP -= step;
+ M -= step;
+
+ if ( contains_forced ) {
+ lastP = forced_pt;
+ M = lastP - curP + 1;
+ }
+
+ AttemptSimplify(off + curP, M, treshhold, res, worstP); // ca passe forcement
+ }
+ step /= 2;
+ }
+
+ endToPt = pts[off + lastP].p;
+ if (M <= 2) {
+ LineTo(endToPt);
+ } else {
+ CubicTo(endToPt, res.start, res.end);
+ }
+
+ curP = lastP;
+ }
+
+ if (Geom::LInfty(endToPt - moveToPt) < 0.00001) {
+ Close();
+ }
+
+ g_free(data.Xk);
+ g_free(data.Yk);
+ g_free(data.Qk);
+ g_free(data.tk);
+ g_free(data.lk);
+ g_free(data.fk);
+}
+
+
+// warning: slow
+// idea behind this feature: splotches appear when trying to fit a small number of points: you can
+// get a cubic bezier that fits the points very well but doesn't fit the polyline itself
+// so we add a bit of the error at the middle of each segment of the polyline
+// also we restrict this to <=20 points, to avoid unnecessary computations
+#define with_splotch_killer
+
+// primitive= calc the cubic bezier patche that fits Xk and Yk best
+// Qk est deja alloue
+// retourne false si probleme (matrice non-inversible)
+bool Path::FitCubic(Geom::Point const &start, PathDescrCubicTo &res,
+ double *Xk, double *Yk, double *Qk, double *tk, int nbPt)
+{
+ Geom::Point const end = res.p;
+
+ // la matrice tNN
+ Geom::Affine M(0, 0, 0, 0, 0, 0);
+ for (int i = 1; i < nbPt - 1; i++) {
+ M[0] += N13(tk[i]) * N13(tk[i]);
+ M[1] += N23(tk[i]) * N13(tk[i]);
+ M[2] += N13(tk[i]) * N23(tk[i]);
+ M[3] += N23(tk[i]) * N23(tk[i]);
+ }
+
+ double const det = M.det();
+ if (fabs(det) < 0.000001) {
+ res.start[0]=res.start[1]=0.0;
+ res.end[0]=res.end[1]=0.0;
+ return false;
+ }
+
+ Geom::Affine const iM = M.inverse();
+ M = iM;
+
+ // phase 1: abcisses
+ // calcul des Qk
+ Xk[0] = start[0];
+ Yk[0] = start[1];
+ Xk[nbPt - 1] = end[0];
+ Yk[nbPt - 1] = end[1];
+
+ for (int i = 1; i < nbPt - 1; i++) {
+ Qk[i] = Xk[i] - N03 (tk[i]) * Xk[0] - N33 (tk[i]) * Xk[nbPt - 1];
+ }
+
+ // le vecteur Q
+ Geom::Point Q(0, 0);
+ for (int i = 1; i < nbPt - 1; i++) {
+ Q[0] += N13 (tk[i]) * Qk[i];
+ Q[1] += N23 (tk[i]) * Qk[i];
+ }
+
+ Geom::Point P = Q * M;
+ Geom::Point cp1;
+ Geom::Point cp2;
+ cp1[Geom::X] = P[Geom::X];
+ cp2[Geom::X] = P[Geom::Y];
+
+ // phase 2: les ordonnees
+ for (int i = 1; i < nbPt - 1; i++) {
+ Qk[i] = Yk[i] - N03 (tk[i]) * Yk[0] - N33 (tk[i]) * Yk[nbPt - 1];
+ }
+
+ // le vecteur Q
+ Q = Geom::Point(0, 0);
+ for (int i = 1; i < nbPt - 1; i++) {
+ Q[0] += N13 (tk[i]) * Qk[i];
+ Q[1] += N23 (tk[i]) * Qk[i];
+ }
+
+ P = Q * M;
+ cp1[Geom::Y] = P[Geom::X];
+ cp2[Geom::Y] = P[Geom::Y];
+
+ res.start = 3.0 * (cp1 - start);
+ res.end = 3.0 * (end - cp2 );
+
+ return true;
+}
+
+
+bool Path::ExtendFit(int off, int N, fitting_tables &data, double treshhold, PathDescrCubicTo &res, int &worstP)
+{
+ if ( N >= data.maxPt ) {
+ data.maxPt = 2 * N + 1;
+ data.Xk = (double *) g_realloc(data.Xk, data.maxPt * sizeof(double));
+ data.Yk = (double *) g_realloc(data.Yk, data.maxPt * sizeof(double));
+ data.Qk = (double *) g_realloc(data.Qk, data.maxPt * sizeof(double));
+ data.tk = (double *) g_realloc(data.tk, data.maxPt * sizeof(double));
+ data.lk = (double *) g_realloc(data.lk, data.maxPt * sizeof(double));
+ data.fk = (char *) g_realloc(data.fk, data.maxPt * sizeof(char));
+ }
+
+ if ( N > data.inPt ) {
+ for (int i = data.inPt; i < N; i++) {
+ data.Xk[i] = pts[off + i].p[Geom::X];
+ data.Yk[i] = pts[off + i].p[Geom::Y];
+ data.fk[i] = ( pts[off + i].isMoveTo == polyline_forced ) ? 0x01 : 0x00;
+ }
+ data.lk[0] = 0;
+ data.tk[0] = 0;
+
+ double prevLen = 0;
+ for (int i = 0; i < data.inPt; i++) {
+ prevLen += data.lk[i];
+ }
+ data.totLen = prevLen;
+
+ for (int i = ( (data.inPt > 0) ? data.inPt : 1); i < N; i++) {
+ Geom::Point diff;
+ diff[Geom::X] = data.Xk[i] - data.Xk[i - 1];
+ diff[Geom::Y] = data.Yk[i] - data.Yk[i - 1];
+ data.lk[i] = Geom::L2(diff);
+ data.totLen += data.lk[i];
+ data.tk[i] = data.totLen;
+ }
+
+ for (int i = 0; i < data.inPt; i++) {
+ data.tk[i] *= prevLen;
+ data.tk[i] /= data.totLen;
+ }
+
+ for (int i = data.inPt; i < N; i++) {
+ data.tk[i] /= data.totLen;
+ }
+ data.inPt = N;
+ }
+
+ if ( N < data.nbPt ) {
+ // We've gone too far; we'll have to recalulate the .tk.
+ data.totLen = 0;
+ data.tk[0] = 0;
+ data.lk[0] = 0;
+ for (int i = 1; i < N; i++) {
+ data.totLen += data.lk[i];
+ data.tk[i] = data.totLen;
+ }
+
+ for (int i = 1; i < N; i++) {
+ data.tk[i] /= data.totLen;
+ }
+ }
+
+ data.nbPt = N;
+
+ if ( data.nbPt <= 0 ) {
+ return false;
+ }
+
+ res.p[0] = data.Xk[data.nbPt - 1];
+ res.p[1] = data.Yk[data.nbPt - 1];
+ res.start[0] = res.start[1] = 0;
+ res.end[0] = res.end[1] = 0;
+ worstP = 1;
+ if ( N <= 2 ) {
+ return true;
+ }
+
+ if ( data.totLen < 0.0001 ) {
+ double worstD = 0;
+ Geom::Point start;
+ worstP = -1;
+ start[0] = data.Xk[0];
+ start[1] = data.Yk[0];
+ for (int i = 1; i < N; i++) {
+ Geom::Point nPt;
+ bool isForced = data.fk[i];
+ nPt[0] = data.Xk[i];
+ nPt[1] = data.Yk[i];
+
+ double nle = DistanceToCubic(start, res, nPt);
+ if ( isForced ) {
+ // forced points are favored for splitting the recursion; we do this by increasing their distance
+ if ( worstP < 0 || 2*nle > worstD ) {
+ worstP = i;
+ worstD = 2*nle;
+ }
+ } else {
+ if ( worstP < 0 || nle > worstD ) {
+ worstP = i;
+ worstD = nle;
+ }
+ }
+ }
+
+ return true;
+ }
+
+ return AttemptSimplify(data, treshhold, res, worstP);
+}
+
+
+// fit a polyline to a bezier patch, return true is treshhold not exceeded (ie: you can continue)
+// version that uses tables from the previous iteration, to minimize amount of work done
+bool Path::AttemptSimplify (fitting_tables &data,double treshhold, PathDescrCubicTo & res,int &worstP)
+{
+ Geom::Point start,end;
+ // pour une coordonnee
+ Geom::Point cp1, cp2;
+
+ worstP = 1;
+ if (pts.size() == 2) {
+ return true;
+ }
+
+ start[0] = data.Xk[0];
+ start[1] = data.Yk[0];
+ cp1[0] = data.Xk[1];
+ cp1[1] = data.Yk[1];
+ end[0] = data.Xk[data.nbPt - 1];
+ end[1] = data.Yk[data.nbPt - 1];
+ cp2 = cp1;
+
+ if (pts.size() == 3) {
+ // start -> cp1 -> end
+ res.start = cp1 - start;
+ res.end = end - cp1;
+ worstP = 1;
+ return true;
+ }
+
+ if ( FitCubic(start, res, data.Xk, data.Yk, data.Qk, data.tk, data.nbPt) ) {
+ cp1 = start + res.start / 3;
+ cp2 = end - res.end / 3;
+ } else {
+ // aie, non-inversible
+ double worstD = 0;
+ worstP = -1;
+ for (int i = 1; i < data.nbPt; i++) {
+ Geom::Point nPt;
+ nPt[Geom::X] = data.Xk[i];
+ nPt[Geom::Y] = data.Yk[i];
+ double nle = DistanceToCubic(start, res, nPt);
+ if ( data.fk[i] ) {
+ // forced points are favored for splitting the recursion; we do this by increasing their distance
+ if ( worstP < 0 || 2 * nle > worstD ) {
+ worstP = i;
+ worstD = 2 * nle;
+ }
+ } else {
+ if ( worstP < 0 || nle > worstD ) {
+ worstP = i;
+ worstD = nle;
+ }
+ }
+ }
+ return false;
+ }
+
+ // calcul du delta= pondere par les longueurs des segments
+ double delta = 0;
+ {
+ double worstD = 0;
+ worstP = -1;
+ Geom::Point prevAppP;
+ Geom::Point prevP;
+ double prevDist;
+ prevP[Geom::X] = data.Xk[0];
+ prevP[Geom::Y] = data.Yk[0];
+ prevAppP = prevP; // le premier seulement
+ prevDist = 0;
+#ifdef with_splotch_killer
+ if ( data.nbPt <= 20 ) {
+ for (int i = 1; i < data.nbPt - 1; i++) {
+ Geom::Point curAppP;
+ Geom::Point curP;
+ double curDist;
+ Geom::Point midAppP;
+ Geom::Point midP;
+ double midDist;
+
+ curAppP[Geom::X] = N13(data.tk[i]) * cp1[Geom::X] +
+ N23(data.tk[i]) * cp2[Geom::X] +
+ N03(data.tk[i]) * data.Xk[0] +
+ N33(data.tk[i]) * data.Xk[data.nbPt - 1];
+
+ curAppP[Geom::Y] = N13(data.tk[i]) * cp1[Geom::Y] +
+ N23(data.tk[i]) * cp2[Geom::Y] +
+ N03(data.tk[i]) * data.Yk[0] +
+ N33(data.tk[i]) * data.Yk[data.nbPt - 1];
+
+ curP[Geom::X] = data.Xk[i];
+ curP[Geom::Y] = data.Yk[i];
+ double mtk = 0.5 * (data.tk[i] + data.tk[i - 1]);
+
+ midAppP[Geom::X] = N13(mtk) * cp1[Geom::X] +
+ N23(mtk) * cp2[Geom::X] +
+ N03(mtk) * data.Xk[0] +
+ N33(mtk) * data.Xk[data.nbPt - 1];
+
+ midAppP[Geom::Y] = N13(mtk) * cp1[Geom::Y] +
+ N23(mtk) * cp2[Geom::Y] +
+ N03(mtk) * data.Yk[0] +
+ N33(mtk) * data.Yk[data.nbPt - 1];
+
+ midP = 0.5 * (curP + prevP);
+
+ Geom::Point diff = curAppP - curP;
+ curDist = dot(diff, diff);
+ diff = midAppP - midP;
+ midDist = dot(diff, diff);
+
+ delta += 0.3333 * (curDist + prevDist + midDist) * data.lk[i];
+ if ( curDist > worstD ) {
+ worstD = curDist;
+ worstP = i;
+ } else if ( data.fk[i] && 2 * curDist > worstD ) {
+ worstD = 2*curDist;
+ worstP = i;
+ }
+ prevP = curP;
+ prevAppP = curAppP;
+ prevDist = curDist;
+ }
+ delta /= data.totLen;
+
+ } else {
+#endif
+ for (int i = 1; i < data.nbPt - 1; i++) {
+ Geom::Point curAppP;
+ Geom::Point curP;
+ double curDist;
+
+ curAppP[Geom::X] = N13(data.tk[i]) * cp1[Geom::X] +
+ N23(data.tk[i]) * cp2[Geom::X] +
+ N03(data.tk[i]) * data.Xk[0] +
+ N33(data.tk[i]) * data.Xk[data.nbPt - 1];
+
+ curAppP[Geom::Y] = N13(data.tk[i]) * cp1[Geom::Y] +
+ N23(data.tk[i]) * cp2[Geom::Y] +
+ N03(data.tk[i]) * data.Yk[0] +
+ N33(data.tk[i]) * data.Yk[data.nbPt - 1];
+
+ curP[Geom::X] = data.Xk[i];
+ curP[Geom::Y] = data.Yk[i];
+
+ Geom::Point diff = curAppP-curP;
+ curDist = dot(diff, diff);
+ delta += curDist;
+
+ if ( curDist > worstD ) {
+ worstD = curDist;
+ worstP = i;
+ } else if ( data.fk[i] && 2 * curDist > worstD ) {
+ worstD = 2*curDist;
+ worstP = i;
+ }
+ prevP = curP;
+ prevAppP = curAppP;
+ prevDist = curDist;
+ }
+#ifdef with_splotch_killer
+ }
+#endif
+ }
+
+ if (delta < treshhold * treshhold) {
+ // premier jet
+
+ // Refine a little.
+ for (int i = 1; i < data.nbPt - 1; i++) {
+ Geom::Point pt(data.Xk[i], data.Yk[i]);
+ data.tk[i] = RaffineTk(pt, start, cp1, cp2, end, data.tk[i]);
+ if (data.tk[i] < data.tk[i - 1]) {
+ // Force tk to be monotonic non-decreasing.
+ data.tk[i] = data.tk[i - 1];
+ }
+ }
+
+ if ( FitCubic(start, res, data.Xk, data.Yk, data.Qk, data.tk, data.nbPt) == false) {
+ // ca devrait jamais arriver, mais bon
+ res.start = 3.0 * (cp1 - start);
+ res.end = 3.0 * (end - cp2 );
+ return true;
+ }
+
+ double ndelta = 0;
+ {
+ double worstD = 0;
+ worstP = -1;
+ Geom::Point prevAppP;
+ Geom::Point prevP(data.Xk[0], data.Yk[0]);
+ double prevDist = 0;
+ prevAppP = prevP; // le premier seulement
+#ifdef with_splotch_killer
+ if ( data.nbPt <= 20 ) {
+ for (int i = 1; i < data.nbPt - 1; i++) {
+ Geom::Point curAppP;
+ Geom::Point curP;
+ double curDist;
+ Geom::Point midAppP;
+ Geom::Point midP;
+ double midDist;
+
+ curAppP[Geom::X] = N13(data.tk[i]) * cp1[Geom::X] +
+ N23(data.tk[i]) * cp2[Geom::X] +
+ N03(data.tk[i]) * data.Xk[0] +
+ N33(data.tk[i]) * data.Xk[data.nbPt - 1];
+
+ curAppP[Geom::Y] = N13(data.tk[i]) * cp1[Geom::Y] +
+ N23(data.tk[i]) * cp2[Geom::Y] +
+ N03(data.tk[i]) * data.Yk[0] +
+ N33(data.tk[i]) * data.Yk[data.nbPt - 1];
+
+ curP[Geom::X] = data.Xk[i];
+ curP[Geom::Y] = data.Yk[i];
+ double mtk = 0.5 * (data.tk[i] + data.tk[i - 1]);
+
+ midAppP[Geom::X] = N13(mtk) * cp1[Geom::X] +
+ N23(mtk) * cp2[Geom::X] +
+ N03(mtk) * data.Xk[0] +
+ N33(mtk) * data.Xk[data.nbPt - 1];
+
+ midAppP[Geom::Y] = N13(mtk) * cp1[Geom::Y] +
+ N23(mtk) * cp2[Geom::Y] +
+ N03(mtk) * data.Yk[0] +
+ N33(mtk) * data.Yk[data.nbPt - 1];
+
+ midP = 0.5 * (curP + prevP);
+
+ Geom::Point diff = curAppP - curP;
+ curDist = dot(diff, diff);
+
+ diff = midAppP - midP;
+ midDist = dot(diff, diff);
+
+ ndelta += 0.3333 * (curDist + prevDist + midDist) * data.lk[i];
+
+ if ( curDist > worstD ) {
+ worstD = curDist;
+ worstP = i;
+ } else if ( data.fk[i] && 2 * curDist > worstD ) {
+ worstD = 2*curDist;
+ worstP = i;
+ }
+
+ prevP = curP;
+ prevAppP = curAppP;
+ prevDist = curDist;
+ }
+ ndelta /= data.totLen;
+ } else {
+#endif
+ for (int i = 1; i < data.nbPt - 1; i++) {
+ Geom::Point curAppP;
+ Geom::Point curP;
+ double curDist;
+
+ curAppP[Geom::X] = N13(data.tk[i]) * cp1[Geom::X] +
+ N23(data.tk[i]) * cp2[Geom::X] +
+ N03(data.tk[i]) * data.Xk[0] +
+ N33(data.tk[i]) * data.Xk[data.nbPt - 1];
+
+ curAppP[Geom::Y] = N13(data.tk[i]) * cp1[Geom::Y] +
+ N23(data.tk[i]) * cp2[1] +
+ N03(data.tk[i]) * data.Yk[0] +
+ N33(data.tk[i]) * data.Yk[data.nbPt - 1];
+
+ curP[Geom::X] = data.Xk[i];
+ curP[Geom::Y] = data.Yk[i];
+
+ Geom::Point diff = curAppP - curP;
+ curDist = dot(diff, diff);
+
+ ndelta += curDist;
+
+ if ( curDist > worstD ) {
+ worstD = curDist;
+ worstP = i;
+ } else if ( data.fk[i] && 2 * curDist > worstD ) {
+ worstD = 2 * curDist;
+ worstP = i;
+ }
+ prevP = curP;
+ prevAppP = curAppP;
+ prevDist = curDist;
+ }
+#ifdef with_splotch_killer
+ }
+#endif
+ }
+
+ if (ndelta < delta + 0.00001) {
+ return true;
+ } else {
+ // nothing better to do
+ res.start = 3.0 * (cp1 - start);
+ res.end = 3.0 * (end - cp2 );
+ }
+
+ return true;
+ }
+
+ return false;
+}
+
+
+bool Path::AttemptSimplify(int off, int N, double treshhold, PathDescrCubicTo &res,int &worstP)
+{
+ Geom::Point start;
+ Geom::Point end;
+
+ // pour une coordonnee
+ double *Xk; // la coordonnee traitee (x puis y)
+ double *Yk; // la coordonnee traitee (x puis y)
+ double *lk; // les longueurs de chaque segment
+ double *tk; // les tk
+ double *Qk; // les Qk
+ char *fk; // si point force
+
+ Geom::Point cp1;
+ Geom::Point cp2;
+
+ if (N == 2) {
+ worstP = 1;
+ return true;
+ }
+
+ start = pts[off].p;
+ cp1 = pts[off + 1].p;
+ end = pts[off + N - 1].p;
+
+ res.p = end;
+ res.start[0] = res.start[1] = 0;
+ res.end[0] = res.end[1] = 0;
+ if (N == 3) {
+ // start -> cp1 -> end
+ res.start = cp1 - start;
+ res.end = end - cp1;
+ worstP = 1;
+ return true;
+ }
+
+ // Totally inefficient, allocates & deallocates all the time.
+ tk = (double *) g_malloc(N * sizeof(double));
+ Qk = (double *) g_malloc(N * sizeof(double));
+ Xk = (double *) g_malloc(N * sizeof(double));
+ Yk = (double *) g_malloc(N * sizeof(double));
+ lk = (double *) g_malloc(N * sizeof(double));
+ fk = (char *) g_malloc(N * sizeof(char));
+
+ // chord length method
+ tk[0] = 0.0;
+ lk[0] = 0.0;
+ {
+ Geom::Point prevP = start;
+ for (int i = 1; i < N; i++) {
+ Xk[i] = pts[off + i].p[Geom::X];
+ Yk[i] = pts[off + i].p[Geom::Y];
+
+ if ( pts[off + i].isMoveTo == polyline_forced ) {
+ fk[i] = 0x01;
+ } else {
+ fk[i] = 0;
+ }
+
+ Geom::Point diff(Xk[i] - prevP[Geom::X], Yk[i] - prevP[1]);
+ prevP[0] = Xk[i];
+ prevP[1] = Yk[i];
+ lk[i] = Geom::L2(diff);
+ tk[i] = tk[i - 1] + lk[i];
+ }
+ }
+
+ if (tk[N - 1] < 0.00001) {
+ // longueur nulle
+ res.start[0] = res.start[1] = 0;
+ res.end[0] = res.end[1] = 0;
+ double worstD = 0;
+ worstP = -1;
+ for (int i = 1; i < N; i++) {
+ Geom::Point nPt;
+ bool isForced = fk[i];
+ nPt[0] = Xk[i];
+ nPt[1] = Yk[i];
+
+ double nle = DistanceToCubic(start, res, nPt);
+ if ( isForced ) {
+ // forced points are favored for splitting the recursion; we do this by increasing their distance
+ if ( worstP < 0 || 2 * nle > worstD ) {
+ worstP = i;
+ worstD = 2 * nle;
+ }
+ } else {
+ if ( worstP < 0 || nle > worstD ) {
+ worstP = i;
+ worstD = nle;
+ }
+ }
+ }
+
+ g_free(tk);
+ g_free(Qk);
+ g_free(Xk);
+ g_free(Yk);
+ g_free(fk);
+ g_free(lk);
+
+ return false;
+ }
+
+ double totLen = tk[N - 1];
+ for (int i = 1; i < N - 1; i++) {
+ tk[i] /= totLen;
+ }
+
+ res.p = end;
+ if ( FitCubic(start, res, Xk, Yk, Qk, tk, N) ) {
+ cp1 = start + res.start / 3;
+ cp2 = end + res.end / 3;
+ } else {
+ // aie, non-inversible
+ res.start[0] = res.start[1] = 0;
+ res.end[0] = res.end[1] = 0;
+ double worstD = 0;
+ worstP = -1;
+ for (int i = 1; i < N; i++) {
+ Geom::Point nPt(Xk[i], Yk[i]);
+ bool isForced = fk[i];
+ double nle = DistanceToCubic(start, res, nPt);
+ if ( isForced ) {
+ // forced points are favored for splitting the recursion; we do this by increasing their distance
+ if ( worstP < 0 || 2 * nle > worstD ) {
+ worstP = i;
+ worstD = 2 * nle;
+ }
+ } else {
+ if ( worstP < 0 || nle > worstD ) {
+ worstP = i;
+ worstD = nle;
+ }
+ }
+ }
+
+ g_free(tk);
+ g_free(Qk);
+ g_free(Xk);
+ g_free(Yk);
+ g_free(fk);
+ g_free(lk);
+ return false;
+ }
+
+ // calcul du delta= pondere par les longueurs des segments
+ double delta = 0;
+ {
+ double worstD = 0;
+ worstP = -1;
+ Geom::Point prevAppP;
+ Geom::Point prevP;
+ double prevDist;
+ prevP[0] = Xk[0];
+ prevP[1] = Yk[0];
+ prevAppP = prevP; // le premier seulement
+ prevDist = 0;
+#ifdef with_splotch_killer
+ if ( N <= 20 ) {
+ for (int i = 1; i < N - 1; i++)
+ {
+ Geom::Point curAppP;
+ Geom::Point curP;
+ double curDist;
+ Geom::Point midAppP;
+ Geom::Point midP;
+ double midDist;
+
+ curAppP[0] = N13 (tk[i]) * cp1[0] + N23 (tk[i]) * cp2[0] + N03 (tk[i]) * Xk[0] + N33 (tk[i]) * Xk[N - 1];
+ curAppP[1] = N13 (tk[i]) * cp1[1] + N23 (tk[i]) * cp2[1] + N03 (tk[i]) * Yk[0] + N33 (tk[i]) * Yk[N - 1];
+ curP[0] = Xk[i];
+ curP[1] = Yk[i];
+ midAppP[0] = N13 (0.5*(tk[i]+tk[i-1])) * cp1[0] + N23 (0.5*(tk[i]+tk[i-1])) * cp2[0] + N03 (0.5*(tk[i]+tk[i-1])) * Xk[0] + N33 (0.5*(tk[i]+tk[i-1])) * Xk[N - 1];
+ midAppP[1] = N13 (0.5*(tk[i]+tk[i-1])) * cp1[1] + N23 (0.5*(tk[i]+tk[i-1])) * cp2[1] + N03 (0.5*(tk[i]+tk[i-1])) * Yk[0] + N33 (0.5*(tk[i]+tk[i-1])) * Yk[N - 1];
+ midP=0.5*(curP+prevP);
+
+ Geom::Point diff;
+ diff = curAppP-curP;
+ curDist = dot(diff,diff);
+
+ diff = midAppP-midP;
+ midDist = dot(diff,diff);
+
+ delta+=0.3333*(curDist+prevDist+midDist)/**lk[i]*/;
+
+ if ( curDist > worstD ) {
+ worstD = curDist;
+ worstP = i;
+ } else if ( fk[i] && 2*curDist > worstD ) {
+ worstD = 2*curDist;
+ worstP = i;
+ }
+ prevP = curP;
+ prevAppP = curAppP;
+ prevDist = curDist;
+ }
+ delta/=totLen;
+ } else {
+#endif
+ for (int i = 1; i < N - 1; i++)
+ {
+ Geom::Point curAppP;
+ Geom::Point curP;
+ double curDist;
+
+ curAppP[0] = N13 (tk[i]) * cp1[0] + N23 (tk[i]) * cp2[0] + N03 (tk[i]) * Xk[0] + N33 (tk[i]) * Xk[N - 1];
+ curAppP[1] = N13 (tk[i]) * cp1[1] + N23 (tk[i]) * cp2[1] + N03 (tk[i]) * Yk[0] + N33 (tk[i]) * Yk[N - 1];
+ curP[0] = Xk[i];
+ curP[1] = Yk[i];
+
+ Geom::Point diff;
+ diff = curAppP-curP;
+ curDist = dot(diff,diff);
+ delta += curDist;
+ if ( curDist > worstD ) {
+ worstD = curDist;
+ worstP = i;
+ } else if ( fk[i] && 2*curDist > worstD ) {
+ worstD = 2*curDist;
+ worstP = i;
+ }
+ prevP = curP;
+ prevAppP = curAppP;
+ prevDist = curDist;
+ }
+#ifdef with_splotch_killer
+ }
+#endif
+ }
+
+ if (delta < treshhold * treshhold)
+ {
+ // premier jet
+ res.start = 3.0 * (cp1 - start);
+ res.end = -3.0 * (cp2 - end);
+ res.p = end;
+
+ // Refine a little.
+ for (int i = 1; i < N - 1; i++)
+ {
+ Geom::Point
+ pt;
+ pt[0] = Xk[i];
+ pt[1] = Yk[i];
+ tk[i] = RaffineTk (pt, start, cp1, cp2, end, tk[i]);
+ if (tk[i] < tk[i - 1])
+ {
+ // Force tk to be monotonic non-decreasing.
+ tk[i] = tk[i - 1];
+ }
+ }
+
+ if ( FitCubic(start,res,Xk,Yk,Qk,tk,N) ) {
+ } else {
+ // ca devrait jamais arriver, mais bon
+ res.start = 3.0 * (cp1 - start);
+ res.end = -3.0 * (cp2 - end);
+ g_free(tk);
+ g_free(Qk);
+ g_free(Xk);
+ g_free(Yk);
+ g_free(fk);
+ g_free(lk);
+ return true;
+ }
+ double ndelta = 0;
+ {
+ double worstD = 0;
+ worstP = -1;
+ Geom::Point prevAppP;
+ Geom::Point prevP;
+ double prevDist;
+ prevP[0] = Xk[0];
+ prevP[1] = Yk[0];
+ prevAppP = prevP; // le premier seulement
+ prevDist = 0;
+#ifdef with_splotch_killer
+ if ( N <= 20 ) {
+ for (int i = 1; i < N - 1; i++)
+ {
+ Geom::Point curAppP;
+ Geom::Point curP;
+ double curDist;
+ Geom::Point midAppP;
+ Geom::Point midP;
+ double midDist;
+
+ curAppP[0] = N13 (tk[i]) * cp1[0] + N23 (tk[i]) * cp2[0] + N03 (tk[i]) * Xk[0] + N33 (tk[i]) * Xk[N - 1];
+ curAppP[1] = N13 (tk[i]) * cp1[1] + N23 (tk[i]) * cp2[1] + N03 (tk[i]) * Yk[0] + N33 (tk[i]) * Yk[N - 1];
+ curP[0] = Xk[i];
+ curP[1] = Yk[i];
+ midAppP[0] = N13 (0.5*(tk[i]+tk[i-1])) * cp1[0] + N23 (0.5*(tk[i]+tk[i-1])) * cp2[0] + N03 (0.5*(tk[i]+tk[i-1])) * Xk[0] + N33 (0.5*(tk[i]+tk[i-1])) * Xk[N - 1];
+ midAppP[1] = N13 (0.5*(tk[i]+tk[i-1])) * cp1[1] + N23 (0.5*(tk[i]+tk[i-1])) * cp2[1] + N03 (0.5*(tk[i]+tk[i-1])) * Yk[0] + N33 (0.5*(tk[i]+tk[i-1])) * Yk[N - 1];
+ midP = 0.5*(curP+prevP);
+
+ Geom::Point diff;
+ diff = curAppP-curP;
+ curDist = dot(diff,diff);
+ diff = midAppP-midP;
+ midDist = dot(diff,diff);
+
+ ndelta+=0.3333*(curDist+prevDist+midDist)/**lk[i]*/;
+
+ if ( curDist > worstD ) {
+ worstD = curDist;
+ worstP = i;
+ } else if ( fk[i] && 2*curDist > worstD ) {
+ worstD = 2*curDist;
+ worstP = i;
+ }
+ prevP = curP;
+ prevAppP = curAppP;
+ prevDist = curDist;
+ }
+ ndelta /= totLen;
+ } else {
+#endif
+ for (int i = 1; i < N - 1; i++)
+ {
+ Geom::Point curAppP;
+ Geom::Point curP;
+ double curDist;
+
+ curAppP[0] = N13 (tk[i]) * cp1[0] + N23 (tk[i]) * cp2[0] + N03 (tk[i]) * Xk[0] + N33 (tk[i]) * Xk[N - 1];
+ curAppP[1] = N13 (tk[i]) * cp1[1] + N23 (tk[i]) * cp2[1] + N03 (tk[i]) * Yk[0] + N33 (tk[i]) * Yk[N - 1];
+ curP[0]=Xk[i];
+ curP[1]=Yk[i];
+
+ Geom::Point diff;
+ diff=curAppP-curP;
+ curDist=dot(diff,diff);
+ ndelta+=curDist;
+
+ if ( curDist > worstD ) {
+ worstD=curDist;
+ worstP=i;
+ } else if ( fk[i] && 2*curDist > worstD ) {
+ worstD=2*curDist;
+ worstP=i;
+ }
+ prevP=curP;
+ prevAppP=curAppP;
+ prevDist=curDist;
+ }
+#ifdef with_splotch_killer
+ }
+#endif
+ }
+
+ g_free(tk);
+ g_free(Qk);
+ g_free(Xk);
+ g_free(Yk);
+ g_free(fk);
+ g_free(lk);
+
+ if (ndelta < delta + 0.00001)
+ {
+ return true;
+ } else {
+ // nothing better to do
+ res.start = 3.0 * (cp1 - start);
+ res.end = -3.0 * (cp2 - end);
+ }
+ return true;
+ } else {
+ // nothing better to do
+ }
+
+ g_free(tk);
+ g_free(Qk);
+ g_free(Xk);
+ g_free(Yk);
+ g_free(fk);
+ g_free(lk);
+ return false;
+}
+
+double Path::RaffineTk (Geom::Point pt, Geom::Point p0, Geom::Point p1, Geom::Point p2, Geom::Point p3, double it)
+{
+ // Refinement of the tk values.
+ // Just one iteration of Newtow Raphson, given that we're approaching the curve anyway.
+ // [fr: vu que de toute facon la courbe est approchC)e]
+ double const Ax = pt[Geom::X] -
+ p0[Geom::X] * N03(it) -
+ p1[Geom::X] * N13(it) -
+ p2[Geom::X] * N23(it) -
+ p3[Geom::X] * N33(it);
+
+ double const Bx = (p1[Geom::X] - p0[Geom::X]) * N02(it) +
+ (p2[Geom::X] - p1[Geom::X]) * N12(it) +
+ (p3[Geom::X] - p2[Geom::X]) * N22(it);
+
+ double const Cx = (p0[Geom::X] - 2 * p1[Geom::X] + p2[Geom::X]) * N01(it) +
+ (p3[Geom::X] - 2 * p2[Geom::X] + p1[Geom::X]) * N11(it);
+
+ double const Ay = pt[Geom::Y] -
+ p0[Geom::Y] * N03(it) -
+ p1[Geom::Y] * N13(it) -
+ p2[Geom::Y] * N23(it) -
+ p3[Geom::Y] * N33(it);
+
+ double const By = (p1[Geom::Y] - p0[Geom::Y]) * N02(it) +
+ (p2[Geom::Y] - p1[Geom::Y]) * N12(it) +
+ (p3[Geom::Y] - p2[Geom::Y]) * N22(it);
+
+ double const Cy = (p0[Geom::Y] - 2 * p1[Geom::Y] + p2[Geom::Y]) * N01(it) +
+ (p3[Geom::Y] - 2 * p2[Geom::Y] + p1[Geom::Y]) * N11(it);
+
+ double const dF = -6 * (Ax * Bx + Ay * By);
+ double const ddF = 18 * (Bx * Bx + By * By) - 12 * (Ax * Cx + Ay * Cy);
+ if (fabs (ddF) > 0.0000001) {
+ return it - dF / ddF;
+ }
+
+ return it;
+}
+
+// Variation on the fitting theme: try to merge path commands into cubic bezier patches.
+// The goal is to reduce the number of path commands, especially when operations on path produce
+// lots of small path elements; ideally you could get rid of very small segments at reduced visual cost.
+void Path::Coalesce(double tresh)
+{
+ if ( descr_flags & descr_adding_bezier ) {
+ CancelBezier();
+ }
+
+ if ( descr_flags & descr_doing_subpath ) {
+ CloseSubpath();
+ }
+
+ if (descr_cmd.size() <= 2) {
+ return;
+ }
+
+ SetBackData(false);
+ Path* tempDest = new Path();
+ tempDest->SetBackData(false);
+
+ ConvertEvenLines(0.25*tresh);
+
+ int lastP = 0;
+ int lastAP = -1;
+ // As the elements are stored in a separate array, it's no longer worth optimizing
+ // the rewriting in the same array.
+ // [[comme les elements sont stockes dans un tableau a part, plus la peine d'optimiser
+ // la réécriture dans la meme tableau]]
+
+ int lastA = descr_cmd[0]->associated;
+ int prevA = lastA;
+ Geom::Point firstP;
+
+ /* FIXME: the use of this variable probably causes a leak or two.
+ ** It's a hack anyway, and probably only needs to be a type rather than
+ ** a full PathDescr.
+ */
+ std::unique_ptr<PathDescr> lastAddition(new PathDescrMoveTo(Geom::Point(0, 0)));
+ bool containsForced = false;
+ PathDescrCubicTo pending_cubic(Geom::Point(0, 0), Geom::Point(0, 0), Geom::Point(0, 0));
+
+ for (int curP = 0; curP < int(descr_cmd.size()); curP++) {
+ int typ = descr_cmd[curP]->getType();
+ int nextA = lastA;
+
+ if (typ == descr_moveto) {
+
+ if (lastAddition->flags != descr_moveto) {
+ FlushPendingAddition(tempDest,lastAddition.get(),pending_cubic,lastAP);
+ }
+ lastAddition.reset(descr_cmd[curP]->clone());
+ lastAP = curP;
+ FlushPendingAddition(tempDest, lastAddition.get(), pending_cubic, lastAP);
+ // Added automatically (too bad about multiple moveto's).
+ // [fr: (tant pis pour les moveto multiples)]
+ containsForced = false;
+
+ PathDescrMoveTo *nData = dynamic_cast<PathDescrMoveTo *>(descr_cmd[curP]);
+ firstP = nData->p;
+ lastA = descr_cmd[curP]->associated;
+ prevA = lastA;
+ lastP = curP;
+
+ } else if (typ == descr_close) {
+ nextA = descr_cmd[curP]->associated;
+ if (lastAddition->flags != descr_moveto) {
+
+ PathDescrCubicTo res(Geom::Point(0, 0), Geom::Point(0, 0), Geom::Point(0, 0));
+ int worstP = -1;
+ if (AttemptSimplify(lastA, nextA - lastA + 1, (containsForced) ? 0.05 * tresh : tresh, res, worstP)) {
+ lastAddition.reset(new PathDescrCubicTo(Geom::Point(0, 0),
+ Geom::Point(0, 0),
+ Geom::Point(0, 0)));
+ pending_cubic = res;
+ lastAP = -1;
+ }
+
+ FlushPendingAddition(tempDest, lastAddition.get(), pending_cubic, lastAP);
+ FlushPendingAddition(tempDest, descr_cmd[curP], pending_cubic, curP);
+
+ } else {
+ FlushPendingAddition(tempDest,descr_cmd[curP],pending_cubic,curP);
+ }
+
+ containsForced = false;
+ lastAddition.reset(new PathDescrMoveTo(Geom::Point(0, 0)));
+ prevA = lastA = nextA;
+ lastP = curP;
+ lastAP = curP;
+
+ } else if (typ == descr_forced) {
+
+ nextA = descr_cmd[curP]->associated;
+ if (lastAddition->flags != descr_moveto) {
+
+ PathDescrCubicTo res(Geom::Point(0, 0), Geom::Point(0, 0), Geom::Point(0, 0));
+ int worstP = -1;
+ if (AttemptSimplify(lastA, nextA - lastA + 1, 0.05 * tresh, res, worstP)) {
+ // plus sensible parce que point force
+ // ca passe
+ /* (Possible translation: More sensitive because contains a forced point.) */
+ containsForced = true;
+ } else {
+ // Force the addition.
+ FlushPendingAddition(tempDest, lastAddition.get(), pending_cubic, lastAP);
+ lastAddition.reset(new PathDescrMoveTo(Geom::Point(0, 0)));
+ prevA = lastA = nextA;
+ lastP = curP;
+ lastAP = curP;
+ containsForced = false;
+ }
+ }
+
+ } else if (typ == descr_lineto || typ == descr_cubicto || typ == descr_arcto) {
+
+ nextA = descr_cmd[curP]->associated;
+ if (lastAddition->flags != descr_moveto) {
+
+ PathDescrCubicTo res(Geom::Point(0, 0), Geom::Point(0, 0), Geom::Point(0, 0));
+ int worstP = -1;
+ if (AttemptSimplify(lastA, nextA - lastA + 1, tresh, res, worstP)) {
+ lastAddition.reset(new PathDescrCubicTo(Geom::Point(0, 0),
+ Geom::Point(0, 0),
+ Geom::Point(0, 0)));
+ pending_cubic = res;
+ lastAddition->associated = lastA;
+ lastP = curP;
+ lastAP = -1;
+ } else {
+ lastA = descr_cmd[lastP]->associated; // pourrait etre surecrit par la ligne suivante
+ /* (possible translation: Could be overwritten by the next line.) */
+ FlushPendingAddition(tempDest, lastAddition.get(), pending_cubic, lastAP);
+ lastAddition.reset(descr_cmd[curP]->clone());
+ if ( typ == descr_cubicto ) {
+ pending_cubic = *(dynamic_cast<PathDescrCubicTo*>(descr_cmd[curP]));
+ }
+ lastAP = curP;
+ containsForced = false;
+ }
+
+ } else {
+ lastA = prevA /*descr_cmd[curP-1]->associated */ ;
+ lastAddition.reset(descr_cmd[curP]->clone());
+ if ( typ == descr_cubicto ) {
+ pending_cubic = *(dynamic_cast<PathDescrCubicTo*>(descr_cmd[curP]));
+ }
+ lastAP = curP;
+ containsForced = false;
+ }
+ prevA = nextA;
+
+ } else if (typ == descr_bezierto) {
+
+ if (lastAddition->flags != descr_moveto) {
+ FlushPendingAddition(tempDest, lastAddition.get(), pending_cubic, lastAP);
+ lastAddition.reset(new PathDescrMoveTo(Geom::Point(0, 0)));
+ }
+ lastAP = -1;
+ lastA = descr_cmd[curP]->associated;
+ lastP = curP;
+ PathDescrBezierTo *nBData = dynamic_cast<PathDescrBezierTo*>(descr_cmd[curP]);
+ for (int i = 1; i <= nBData->nb; i++) {
+ FlushPendingAddition(tempDest, descr_cmd[curP + i], pending_cubic, curP + i);
+ }
+ curP += nBData->nb;
+ prevA = nextA;
+
+ } else if (typ == descr_interm_bezier) {
+ continue;
+ } else {
+ continue;
+ }
+ }
+
+ if (lastAddition->flags != descr_moveto) {
+ FlushPendingAddition(tempDest, lastAddition.get(), pending_cubic, lastAP);
+ }
+
+ Copy(tempDest);
+ delete tempDest;
+}
+
+
+void Path::FlushPendingAddition(Path *dest, PathDescr *lastAddition,
+ PathDescrCubicTo &lastCubic, int lastAP)
+{
+ switch (lastAddition->getType()) {
+
+ case descr_moveto:
+ if ( lastAP >= 0 ) {
+ PathDescrMoveTo* nData = dynamic_cast<PathDescrMoveTo *>(descr_cmd[lastAP]);
+ dest->MoveTo(nData->p);
+ }
+ break;
+
+ case descr_close:
+ dest->Close();
+ break;
+
+ case descr_cubicto:
+ dest->CubicTo(lastCubic.p, lastCubic.start, lastCubic.end);
+ break;
+
+ case descr_lineto:
+ if ( lastAP >= 0 ) {
+ PathDescrLineTo *nData = dynamic_cast<PathDescrLineTo *>(descr_cmd[lastAP]);
+ dest->LineTo(nData->p);
+ }
+ break;
+
+ case descr_arcto:
+ if ( lastAP >= 0 ) {
+ PathDescrArcTo *nData = dynamic_cast<PathDescrArcTo *>(descr_cmd[lastAP]);
+ dest->ArcTo(nData->p, nData->rx, nData->ry, nData->angle, nData->large, nData->clockwise);
+ }
+ break;
+
+ case descr_bezierto:
+ if ( lastAP >= 0 ) {
+ PathDescrBezierTo *nData = dynamic_cast<PathDescrBezierTo *>(descr_cmd[lastAP]);
+ dest->BezierTo(nData->p);
+ }
+ break;
+
+ case descr_interm_bezier:
+ if ( lastAP >= 0 ) {
+ PathDescrIntermBezierTo *nData = dynamic_cast<PathDescrIntermBezierTo*>(descr_cmd[lastAP]);
+ dest->IntermBezierTo(nData->p);
+ }
+ break;
+ }
+}
+
+/*
+ Local Variables:
+ mode:c++
+ c-file-style:"stroustrup"
+ c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
+ indent-tabs-mode:nil
+ fill-column:99
+ End:
+*/
+// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:fileencoding=utf-8:textwidth=99 :
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-10 19:14:46 +0000