#define __CURVE_C__ /** \file * Routines for SPCurve and for NArtBpath arrays in general. */ /* * Author: * Lauris Kaplinski * * Copyright (C) 2000 Lauris Kaplinski * Copyright (C) 2000-2001 Ximian, Inc. * Copyright (C) 2002 Lauris Kaplinski * * Released under GNU GPL */ #include #include #include #include #define SP_CURVE_LENSTEP 32 static bool sp_bpath_good(NArtBpath const bpath[]); static NArtBpath *sp_bpath_clean(NArtBpath const bpath[]); static NArtBpath const *sp_bpath_check_subpath(NArtBpath const bpath[]); static unsigned sp_bpath_length(NArtBpath const bpath[]); static bool sp_bpath_closed(NArtBpath const bpath[]); /* Constructors */ /** * The returned curve's state is as if sp_curve_reset has just been called on it. */ SPCurve * sp_curve_new() { return sp_curve_new_sized(SP_CURVE_LENSTEP); } /** * Like sp_curve_new, but overriding the default initial capacity. * * The returned curve's state is as if sp_curve_reset has just been called on it. * * \param length Initial number of NArtBpath elements allocated for bpath (including NR_END * element). */ SPCurve * sp_curve_new_sized(gint length) { g_return_val_if_fail(length > 0, NULL); SPCurve *curve = g_new(SPCurve, 1); curve->refcount = 1; curve->bpath = nr_new(NArtBpath, length); curve->bpath->code = NR_END; curve->end = 0; curve->length = length; curve->substart = 0; curve->sbpath = false; curve->hascpt = false; curve->posSet = false; curve->moving = false; curve->closed = false; return curve; } /** * Convert NArtBpath object to SPCurve object. * * \return new SPCurve, or NULL if the curve was not created for some reason. */ SPCurve * sp_curve_new_from_bpath(NArtBpath *bpath) { g_return_val_if_fail(bpath != NULL, NULL); if (!sp_bpath_good(bpath)) { NArtBpath *new_bpath = sp_bpath_clean(bpath); if (new_bpath == NULL) { return NULL; } nr_free(bpath); bpath = new_bpath; } SPCurve *curve = g_new(SPCurve, 1); curve->refcount = 1; curve->bpath = bpath; curve->length = sp_bpath_length(bpath); curve->end = curve->length - 1; gint i = curve->end; for (; i > 0; i--) if ((curve->bpath[i].code == NR_MOVETO) || (curve->bpath[i].code == NR_MOVETO_OPEN)) break; curve->substart = i; curve->sbpath = false; curve->hascpt = false; curve->posSet = false; curve->moving = false; curve->closed = sp_bpath_closed(bpath); return curve; } /** * Construct an SPCurve from read-only, static storage. * * We could treat read-onliness and staticness (i.e. can't call free on bpath) as orthogonal * attributes, but at the time of writing we have only one caller. */ SPCurve * sp_curve_new_from_static_bpath(NArtBpath const *bpath) { g_return_val_if_fail(bpath != NULL, NULL); bool sbpath; if (!sp_bpath_good(bpath)) { NArtBpath *new_bpath = sp_bpath_clean(bpath); g_return_val_if_fail(new_bpath != NULL, NULL); sbpath = false; bpath = new_bpath; } else { sbpath = true; } SPCurve *curve = g_new(SPCurve, 1); curve->refcount = 1; curve->bpath = const_cast(bpath); curve->length = sp_bpath_length(bpath); curve->end = curve->length - 1; gint i = curve->end; for (; i > 0; i--) if ((curve->bpath[i].code == NR_MOVETO) || (curve->bpath[i].code == NR_MOVETO_OPEN)) break; curve->substart = i; curve->sbpath = sbpath; curve->hascpt = false; curve->posSet = false; curve->moving = false; curve->closed = sp_bpath_closed(bpath); return curve; } /** * Convert const NArtBpath array to SPCurve. * * \return new SPCurve, or NULL if the curve was not created for some reason. */ SPCurve *sp_curve_new_from_foreign_bpath(NArtBpath const bpath[]) { g_return_val_if_fail(bpath != NULL, NULL); NArtBpath *new_bpath; if (!sp_bpath_good(bpath)) { new_bpath = sp_bpath_clean(bpath); g_return_val_if_fail(new_bpath != NULL, NULL); } else { unsigned const len = sp_bpath_length(bpath); new_bpath = nr_new(NArtBpath, len); memcpy(new_bpath, bpath, len * sizeof(NArtBpath)); } SPCurve *curve = sp_curve_new_from_bpath(new_bpath); if (!curve) nr_free(new_bpath); return curve; } /** * Increase refcount of curve. * * \todo should this be shared with other refcounting code? */ SPCurve * sp_curve_ref(SPCurve *curve) { g_return_val_if_fail(curve != NULL, NULL); curve->refcount += 1; return curve; } /** * Decrease refcount of curve, with possible destruction. * * \todo should this be shared with other refcounting code? */ SPCurve * sp_curve_unref(SPCurve *curve) { g_return_val_if_fail(curve != NULL, NULL); curve->refcount -= 1; if (curve->refcount < 1) { if ((!curve->sbpath) && (curve->bpath)) { nr_free(curve->bpath); } g_free(curve); } return NULL; } /** * Add space for more paths in curve. */ static void sp_curve_ensure_space(SPCurve *curve, gint space) { g_return_if_fail(curve != NULL); g_return_if_fail(space > 0); if (curve->end + space < curve->length) return; if (space < SP_CURVE_LENSTEP) space = SP_CURVE_LENSTEP; curve->bpath = nr_renew(curve->bpath, NArtBpath, curve->length + space); curve->length += space; } /** * Create new curve from its own bpath array. */ SPCurve * sp_curve_copy(SPCurve *curve) { g_return_val_if_fail(curve != NULL, NULL); return sp_curve_new_from_foreign_bpath(curve->bpath); } /** * Return new curve that is the concatenation of all curves in list. */ SPCurve * sp_curve_concat(GSList const *list) { g_return_val_if_fail(list != NULL, NULL); gint length = 0; for (GSList const *l = list; l != NULL; l = l->next) { SPCurve *c = (SPCurve *) l->data; length += c->end; } SPCurve *new_curve = sp_curve_new_sized(length + 1); NArtBpath *bp = new_curve->bpath; for (GSList const *l = list; l != NULL; l = l->next) { SPCurve *c = (SPCurve *) l->data; memcpy(bp, c->bpath, c->end * sizeof(NArtBpath)); bp += c->end; } bp->code = NR_END; new_curve->end = length; gint i; for (i = new_curve->end; i > 0; i--) { if ((new_curve->bpath[i].code == NR_MOVETO) || (new_curve->bpath[i].code == NR_MOVETO_OPEN) ) break; } new_curve->substart = i; return new_curve; } /** * Returns a list of new curves corresponding to the subpaths in \a curve. */ GSList * sp_curve_split(SPCurve const *curve) { g_return_val_if_fail(curve != NULL, NULL); gint p = 0; GSList *l = NULL; while (p < curve->end) { gint i = 1; while ((curve->bpath[p + i].code == NR_LINETO) || (curve->bpath[p + i].code == NR_CURVETO)) i++; SPCurve *new_curve = sp_curve_new_sized(i + 1); memcpy(new_curve->bpath, curve->bpath + p, i * sizeof(NArtBpath)); new_curve->end = i; new_curve->bpath[i].code = NR_END; new_curve->substart = 0; new_curve->closed = (new_curve->bpath->code == NR_MOVETO); new_curve->hascpt = (new_curve->bpath->code == NR_MOVETO_OPEN); l = g_slist_append(l, new_curve); /** \todo * effic: Use g_slist_prepend instead. Either work backwards from * the end of curve, or work forwards as at present but do * g_slist_reverse before returning. */ p += i; } return l; } /** * Transform all paths in curve, template helper. */ template static void tmpl_curve_transform(SPCurve *const curve, M const &m) { g_return_if_fail(curve != NULL); g_return_if_fail(!curve->sbpath); for (gint i = 0; i < curve->end; i++) { NArtBpath *p = curve->bpath + i; switch (p->code) { case NR_MOVETO: case NR_MOVETO_OPEN: case NR_LINETO: { p->setC(3, p->c(3) * m); break; } case NR_CURVETO: for (unsigned i = 1; i <= 3; ++i) { p->setC(i, p->c(i) * m); } break; default: g_warning("Illegal pathcode %d", p->code); break; } } } /** * Transform all paths in curve using matrix. */ void sp_curve_transform(SPCurve *const curve, NR::Matrix const &m) { tmpl_curve_transform(curve, m); } /** * Transform all paths in curve using NR::translate. */ void sp_curve_transform(SPCurve *const curve, NR::translate const &m) { tmpl_curve_transform(curve, m); } /* Methods */ /** * Set curve to empty curve. */ void sp_curve_reset(SPCurve *curve) { g_return_if_fail(curve != NULL); g_return_if_fail(!curve->sbpath); curve->bpath->code = NR_END; curve->end = 0; curve->substart = 0; curve->hascpt = false; curve->posSet = false; curve->moving = false; curve->closed = false; } /* Several consecutive movetos are ALLOWED */ /** * Calls sp_curve_moveto() with point made of given coordinates. */ void sp_curve_moveto(SPCurve *curve, gdouble x, gdouble y) { sp_curve_moveto(curve, NR::Point(x, y)); } /** * Perform a moveto to a point, thus starting a new subpath. */ void sp_curve_moveto(SPCurve *curve, NR::Point const &p) { g_return_if_fail(curve != NULL); g_return_if_fail(!curve->sbpath); g_return_if_fail(!curve->moving); curve->substart = curve->end; curve->hascpt = true; curve->posSet = true; curve->movePos = p; } /** * Calls sp_curve_lineto() with a point's coordinates. */ void sp_curve_lineto(SPCurve *curve, NR::Point const &p) { sp_curve_lineto(curve, p[NR::X], p[NR::Y]); } /** * Adds a line to the current subpath. */ void sp_curve_lineto(SPCurve *curve, gdouble x, gdouble y) { g_return_if_fail(curve != NULL); g_return_if_fail(!curve->sbpath); g_return_if_fail(curve->hascpt); if (curve->moving) { /* fix endpoint */ g_return_if_fail(!curve->posSet); g_return_if_fail(curve->end > 1); NArtBpath *bp = curve->bpath + curve->end - 1; g_return_if_fail(bp->code == NR_LINETO); bp->x3 = x; bp->y3 = y; curve->moving = false; return; } if (curve->posSet) { /* start a new segment */ sp_curve_ensure_space(curve, 2); NArtBpath *bp = curve->bpath + curve->end; bp->code = NR_MOVETO_OPEN; bp->setC(3, curve->movePos); bp++; bp->code = NR_LINETO; bp->x3 = x; bp->y3 = y; bp++; bp->code = NR_END; curve->end += 2; curve->posSet = false; curve->closed = false; return; } /* add line */ g_return_if_fail(curve->end > 1); sp_curve_ensure_space(curve, 1); NArtBpath *bp = curve->bpath + curve->end; bp->code = NR_LINETO; bp->x3 = x; bp->y3 = y; bp++; bp->code = NR_END; curve->end++; } /// Unused void sp_curve_lineto_moving(SPCurve *curve, gdouble x, gdouble y) { g_return_if_fail(curve != NULL); g_return_if_fail(!curve->sbpath); g_return_if_fail(curve->hascpt); if (curve->moving) { /* change endpoint */ g_return_if_fail(!curve->posSet); g_return_if_fail(curve->end > 1); NArtBpath *bp = curve->bpath + curve->end - 1; g_return_if_fail(bp->code == NR_LINETO); bp->x3 = x; bp->y3 = y; return; } if (curve->posSet) { /* start a new segment */ sp_curve_ensure_space(curve, 2); NArtBpath *bp = curve->bpath + curve->end; bp->code = NR_MOVETO_OPEN; bp->setC(3, curve->movePos); bp++; bp->code = NR_LINETO; bp->x3 = x; bp->y3 = y; bp++; bp->code = NR_END; curve->end += 2; curve->posSet = false; curve->moving = true; curve->closed = false; return; } /* add line */ g_return_if_fail(curve->end > 1); sp_curve_ensure_space(curve, 1); NArtBpath *bp = curve->bpath + curve->end; bp->code = NR_LINETO; bp->x3 = x; bp->y3 = y; bp++; bp->code = NR_END; curve->end++; curve->moving = true; } /** * Calls sp_curve_curveto() with coordinates of three points. */ void sp_curve_curveto(SPCurve *curve, NR::Point const &p0, NR::Point const &p1, NR::Point const &p2) { using NR::X; using NR::Y; sp_curve_curveto(curve, p0[X], p0[Y], p1[X], p1[Y], p2[X], p2[Y]); } /** * Adds a bezier segment to the current subpath. */ void sp_curve_curveto(SPCurve *curve, gdouble x0, gdouble y0, gdouble x1, gdouble y1, gdouble x2, gdouble y2) { g_return_if_fail(curve != NULL); g_return_if_fail(!curve->sbpath); g_return_if_fail(curve->hascpt); g_return_if_fail(!curve->moving); if (curve->posSet) { /* start a new segment */ sp_curve_ensure_space(curve, 2); NArtBpath *bp = curve->bpath + curve->end; bp->code = NR_MOVETO_OPEN; bp->setC(3, curve->movePos); bp++; bp->code = NR_CURVETO; bp->x1 = x0; bp->y1 = y0; bp->x2 = x1; bp->y2 = y1; bp->x3 = x2; bp->y3 = y2; bp++; bp->code = NR_END; curve->end += 2; curve->posSet = false; curve->closed = false; return; } /* add curve */ g_return_if_fail(curve->end > 1); sp_curve_ensure_space(curve, 1); NArtBpath *bp = curve->bpath + curve->end; bp->code = NR_CURVETO; bp->x1 = x0; bp->y1 = y0; bp->x2 = x1; bp->y2 = y1; bp->x3 = x2; bp->y3 = y2; bp++; bp->code = NR_END; curve->end++; } /** * Close current subpath by possibly adding a line between start and end. */ void sp_curve_closepath(SPCurve *curve) { g_return_if_fail(curve != NULL); g_return_if_fail(!curve->sbpath); g_return_if_fail(curve->hascpt); g_return_if_fail(!curve->posSet); g_return_if_fail(!curve->moving); g_return_if_fail(!curve->closed); /* We need at least moveto, curveto, end. */ g_return_if_fail(curve->end - curve->substart > 1); { NArtBpath *bs = curve->bpath + curve->substart; NArtBpath *be = curve->bpath + curve->end - 1; if (bs->c(3) != be->c(3)) { sp_curve_lineto(curve, bs->c(3)); bs = curve->bpath + curve->substart; } bs->code = NR_MOVETO; } curve->closed = true; for (NArtBpath const *bp = curve->bpath; bp->code != NR_END; bp++) { /** \todo * effic: Maintain a count of NR_MOVETO_OPEN's (e.g. instead of * the closed boolean). */ if (bp->code == NR_MOVETO_OPEN) { curve->closed = false; break; } } curve->hascpt = false; } /** Like sp_curve_closepath() but sets the end point of the current command to the subpath start point instead of adding a new lineto. Used for freehand drawing when the user draws back to the start point. **/ void sp_curve_closepath_current(SPCurve *curve) { g_return_if_fail(curve != NULL); g_return_if_fail(!curve->sbpath); g_return_if_fail(curve->hascpt); g_return_if_fail(!curve->posSet); g_return_if_fail(!curve->closed); /* We need at least moveto, curveto, end. */ g_return_if_fail(curve->end - curve->substart > 1); { NArtBpath *bs = curve->bpath + curve->substart; NArtBpath *be = curve->bpath + curve->end - 1; be->x3 = bs->x3; be->y3 = bs->y3; bs->code = NR_MOVETO; } curve->closed = true; for (NArtBpath const *bp = curve->bpath; bp->code != NR_END; bp++) { /** \todo * effic: Maintain a count of NR_MOVETO_OPEN's (e.g. instead of * the closed boolean). */ if (bp->code == NR_MOVETO_OPEN) { curve->closed = false; break; } } curve->hascpt = false; curve->moving = false; } /** * True if no paths are in curve. */ bool sp_curve_empty(SPCurve *curve) { g_return_val_if_fail(curve != NULL, TRUE); return (curve->bpath->code == NR_END); } /** * Return last subpath or NULL. */ NArtBpath * sp_curve_last_bpath(SPCurve const *curve) { g_return_val_if_fail(curve != NULL, NULL); if (curve->end == 0) { return NULL; } return curve->bpath + curve->end - 1; } /** * Return first subpath or NULL. */ NArtBpath * sp_curve_first_bpath(SPCurve const *curve) { g_return_val_if_fail(curve != NULL, NULL); if (curve->end == 0) { return NULL; } return curve->bpath; } /** * Return first point of first subpath or (0,0). */ NR::Point sp_curve_first_point(SPCurve const *const curve) { NArtBpath *const bpath = sp_curve_first_bpath(curve); g_return_val_if_fail(bpath != NULL, NR::Point(0, 0)); return bpath->c(3); } /** * Return the second point of first subpath or curve->movePos if curve too short. */ NR::Point sp_curve_second_point(SPCurve const *const curve) { g_return_val_if_fail(curve != NULL, NR::Point(0, 0)); if (curve->end < 1) { return curve->movePos; } NArtBpath *bpath = NULL; if (curve->end < 2) { bpath = curve->bpath; } else { bpath = curve->bpath + 1; } g_return_val_if_fail(bpath != NULL, NR::Point(0, 0)); return bpath->c(3); } /** * Return the second-last point of last subpath or curve->movePos if curve too short. */ NR::Point sp_curve_penultimate_point(SPCurve const *const curve) { g_return_val_if_fail(curve != NULL, NR::Point(0, 0)); if (curve->end < 2) { return curve->movePos; } NArtBpath *const bpath = curve->bpath + curve->end - 2; g_return_val_if_fail(bpath != NULL, NR::Point(0, 0)); return bpath->c(3); } /** * Return last point of last subpath or (0,0). */ NR::Point sp_curve_last_point(SPCurve const *const curve) { NArtBpath *const bpath = sp_curve_last_bpath(curve); g_return_val_if_fail(bpath != NULL, NR::Point(0, 0)); return bpath->c(3); } inline static bool is_moveto(NRPathcode const c) { return c == NR_MOVETO || c == NR_MOVETO_OPEN; } /** * Returns \a curve but drawn in the opposite direction. * Should result in the same shape, but * with all its markers drawn facing the other direction. **/ SPCurve * sp_curve_reverse(SPCurve const *curve) { /* We need at least moveto, curveto, end. */ g_return_val_if_fail(curve->end - curve->substart > 1, NULL); NArtBpath const *be = curve->bpath + curve->end - 1; g_assert(is_moveto(curve->bpath[curve->substart].code)); g_assert(is_moveto(curve->bpath[0].code)); g_assert((be+1)->code == NR_END); SPCurve *new_curve = sp_curve_new_sized(curve->length); sp_curve_moveto(new_curve, be->c(3)); for (NArtBpath const *bp = be; ; --bp) { switch (bp->code) { case NR_MOVETO: g_assert(new_curve->bpath[new_curve->substart].code == NR_MOVETO_OPEN); new_curve->bpath[new_curve->substart].code = NR_MOVETO; /* FALL-THROUGH */ case NR_MOVETO_OPEN: if (bp == curve->bpath) { return new_curve; } sp_curve_moveto(new_curve, (bp-1)->c(3)); break; case NR_LINETO: sp_curve_lineto(new_curve, (bp-1)->c(3)); break; case NR_CURVETO: sp_curve_curveto(new_curve, bp->c(2), bp->c(1), (bp-1)->c(3)); break; default: g_assert_not_reached(); } } } /** * Append \a curve2 to \a curve. */ void sp_curve_append(SPCurve *curve, SPCurve const *curve2, bool use_lineto) { g_return_if_fail(curve != NULL); g_return_if_fail(curve2 != NULL); if (curve2->end < 1) return; NArtBpath const *bs = curve2->bpath; bool closed = curve->closed; for (NArtBpath const *bp = bs; bp->code != NR_END; bp++) { switch (bp->code) { case NR_MOVETO_OPEN: if (use_lineto && curve->hascpt) { sp_curve_lineto(curve, bp->x3, bp->y3); use_lineto = FALSE; } else { if (closed) sp_curve_closepath(curve); sp_curve_moveto(curve, bp->x3, bp->y3); } closed = false; break; case NR_MOVETO: if (use_lineto && curve->hascpt) { sp_curve_lineto(curve, bp->x3, bp->y3); use_lineto = FALSE; } else { if (closed) sp_curve_closepath(curve); sp_curve_moveto(curve, bp->x3, bp->y3); } closed = true; break; case NR_LINETO: sp_curve_lineto(curve, bp->x3, bp->y3); break; case NR_CURVETO: sp_curve_curveto(curve, bp->x1, bp->y1, bp->x2, bp->y2, bp->x3, bp->y3); break; case NR_END: g_assert_not_reached(); } } if (closed) { sp_curve_closepath(curve); } } /** * Append \a c1 to \a c0 with possible fusing of close endpoints. */ SPCurve * sp_curve_append_continuous(SPCurve *c0, SPCurve const *c1, gdouble tolerance) { g_return_val_if_fail(c0 != NULL, NULL); g_return_val_if_fail(c1 != NULL, NULL); g_return_val_if_fail(!c0->closed, NULL); g_return_val_if_fail(!c1->closed, NULL); if (c1->end < 1) { return c0; } NArtBpath *be = sp_curve_last_bpath(c0); if (be) { NArtBpath const *bs = sp_curve_first_bpath(c1); if ( bs && ( fabs( bs->x3 - be->x3 ) <= tolerance ) && ( fabs( bs->y3 - be->y3 ) <= tolerance ) ) { /** \todo * fixme: Strictly we mess in case of multisegment mixed * open/close curves */ bool closed = false; for (bs = bs + 1; bs->code != NR_END; bs++) { switch (bs->code) { case NR_MOVETO_OPEN: if (closed) sp_curve_closepath(c0); sp_curve_moveto(c0, bs->x3, bs->y3); closed = false; break; case NR_MOVETO: if (closed) sp_curve_closepath(c0); sp_curve_moveto(c0, bs->x3, bs->y3); closed = true; break; case NR_LINETO: sp_curve_lineto(c0, bs->x3, bs->y3); break; case NR_CURVETO: sp_curve_curveto(c0, bs->x1, bs->y1, bs->x2, bs->y2, bs->x3, bs->y3); break; case NR_END: g_assert_not_reached(); } } } else { sp_curve_append(c0, c1, TRUE); } } else { sp_curve_append(c0, c1, TRUE); } return c0; } /** * Remove last segment of curve. */ void sp_curve_backspace(SPCurve *curve) { g_return_if_fail(curve != NULL); if (curve->end > 0) { curve->end -= 1; if (curve->end > 0) { NArtBpath *bp = curve->bpath + curve->end - 1; if ((bp->code == NR_MOVETO) || (bp->code == NR_MOVETO_OPEN) ) { curve->hascpt = true; curve->posSet = true; curve->closed = false; curve->movePos = bp->c(3); curve->end -= 1; } } curve->bpath[curve->end].code = NR_END; } } /* Private methods */ /** * True if all subpaths in bpath array pass consistency check. */ static bool sp_bpath_good(NArtBpath const bpath[]) { g_return_val_if_fail(bpath != NULL, FALSE); NArtBpath const *bp = bpath; while (bp->code != NR_END) { bp = sp_bpath_check_subpath(bp); if (bp == NULL) return false; } return true; } /** * Return copy of a bpath array, discarding any inconsistencies. */ static NArtBpath *sp_bpath_clean(NArtBpath const bpath[]) { NArtBpath *new_bpath = nr_new(NArtBpath, sp_bpath_length(bpath)); NArtBpath const *bp = bpath; NArtBpath *np = new_bpath; while (bp->code != NR_END) { if (sp_bpath_check_subpath(bp)) { *np++ = *bp++; while ((bp->code == NR_LINETO) || (bp->code == NR_CURVETO)) *np++ = *bp++; } else { bp++; while ((bp->code == NR_LINETO) || (bp->code == NR_CURVETO)) bp++; } } if (np == new_bpath) { nr_free(new_bpath); return NULL; } np->code = NR_END; np += 1; new_bpath = nr_renew(new_bpath, NArtBpath, np - new_bpath); return new_bpath; } /** * Perform consistency check of bpath array. * \return Address of NR_END node or NULL. */ static NArtBpath const *sp_bpath_check_subpath(NArtBpath const bpath[]) { g_return_val_if_fail(bpath != NULL, NULL); bool closed; if (bpath->code == NR_MOVETO) { closed = true; } else if (bpath->code == NR_MOVETO_OPEN) { closed = false; } else { return NULL; } gint len = 0; gint i; /** \todo * effic: consider checking for END/MOVE/MOVETO inside switch block */ for (i = 1; (bpath[i].code != NR_END) && (bpath[i].code != NR_MOVETO) && (bpath[i].code != NR_MOVETO_OPEN); i++) { switch (bpath[i].code) { case NR_LINETO: case NR_CURVETO: len++; break; default: return NULL; } } if (closed) { if (len < 1) return NULL; if ((bpath->x3 != bpath[i-1].x3) || (bpath->y3 != bpath[i-1].y3)) return NULL; } else { if (len < 1) return NULL; } return bpath + i; } /** * Returns index of first NR_END bpath in array. */ static unsigned sp_bpath_length(NArtBpath const bpath[]) { g_return_val_if_fail(bpath != NULL, FALSE); unsigned ret = 0; while ( bpath[ret].code != NR_END ) { ++ret; } ++ret; return ret; } /** * \brief * * \todo * fixme: this is bogus -- it doesn't check for nr_moveto, which will indicate * a closing of the subpath it's nonsense to talk about a path as a whole * being closed, although maybe someone would want that for some other reason? * Oh, also, if the bpath just ends, then it's *open*. I hope nobody is using * this code for anything. */ static bool sp_bpath_closed(NArtBpath const bpath[]) { g_return_val_if_fail(bpath != NULL, FALSE); for (NArtBpath const *bp = bpath; bp->code != NR_END; bp++) { if (bp->code == NR_MOVETO_OPEN) { return false; } } return true; } /** * Returns length of bezier segment. */ static double bezier_len(NR::Point const &c0, NR::Point const &c1, NR::Point const &c2, NR::Point const &c3, double const threshold) { /** \todo * The SVG spec claims that a closed form exists, but for the moment I'll * use a stupid algorithm. */ double const lbound = L2( c3 - c0 ); double const ubound = L2( c1 - c0 ) + L2( c2 - c1 ) + L2( c3 - c2 ); double ret; if ( ubound - lbound <= threshold ) { ret = .5 * ( lbound + ubound ); } else { NR::Point const a1( .5 * ( c0 + c1 ) ); NR::Point const b2( .5 * ( c2 + c3 ) ); NR::Point const c12( .5 * ( c1 + c2 ) ); NR::Point const a2( .5 * ( a1 + c12 ) ); NR::Point const b1( .5 * ( c12 + b2 ) ); NR::Point const midpoint( .5 * ( a2 + b1 ) ); double const rec_threshold = .625 * threshold; ret = bezier_len(c0, a1, a2, midpoint, rec_threshold) + bezier_len(midpoint, b1, b2, c3, rec_threshold); if (!(lbound - 1e-2 <= ret && ret <= ubound + 1e-2)) { using NR::X; using NR::Y; g_warning("ret=%f outside of expected bounds [%f, %f] for {(%.0f %.0f) (%.0f %.0f) (%.0f %.0f) (%.0f %.0f)}", ret, lbound, ubound, c0[X], c0[Y], c1[X], c1[Y], c2[X], c2[Y], c3[X], c3[Y]); } } return ret; } /** * Returns total length of curve, excluding length of closepath segments. */ static double sp_curve_distance_including_space(SPCurve const *const curve, double seg2len[]) { g_return_val_if_fail(curve != NULL, 0.); double ret = 0.0; if ( curve->bpath->code == NR_END ) { return ret; } NR::Point prev(curve->bpath->c(3)); for (gint i = 1; i < curve->end; ++i) { NArtBpath &p = curve->bpath[i]; double seg_len = 0; switch (p.code) { case NR_MOVETO_OPEN: case NR_MOVETO: case NR_LINETO: seg_len = L2(p.c(3) - prev); break; case NR_CURVETO: seg_len = bezier_len(prev, p.c(1), p.c(2), p.c(3), 1.); break; case NR_END: return ret; } seg2len[i - 1] = seg_len; ret += seg_len; prev = p.c(3); } g_assert(!(ret < 0)); return ret; } /** * Like sp_curve_distance_including_space(), but ensures that the * result >= 1e-18: uses 1 per segment if necessary. */ static double sp_curve_nonzero_distance_including_space(SPCurve const *const curve, double seg2len[]) { double const real_dist(sp_curve_distance_including_space(curve, seg2len)); if (real_dist >= 1e-18) { return real_dist; } else { unsigned const nSegs = SP_CURVE_LENGTH(curve) - 1; for (unsigned i = 0; i < nSegs; ++i) { seg2len[i] = 1.; } return (double) nSegs; } } void sp_curve_stretch_endpoints(SPCurve *curve, NR::Point const &new_p0, NR::Point const &new_p1) { if (sp_curve_empty(curve)) { return; } g_assert(unsigned(SP_CURVE_LENGTH(curve)) + 1 == sp_bpath_length(curve->bpath)); unsigned const nSegs = SP_CURVE_LENGTH(curve) - 1; g_assert(nSegs != 0); double *const seg2len = new double[nSegs]; double const tot_len = sp_curve_nonzero_distance_including_space(curve, seg2len); NR::Point const offset0( new_p0 - sp_curve_first_point(curve) ); NR::Point const offset1( new_p1 - sp_curve_last_point(curve) ); curve->bpath->setC(3, new_p0); double begin_dist = 0.; for (unsigned si = 0; si < nSegs; ++si) { double const end_dist = begin_dist + seg2len[si]; NArtBpath &p = curve->bpath[1 + si]; switch (p.code) { case NR_LINETO: case NR_MOVETO: case NR_MOVETO_OPEN: p.setC(3, p.c(3) + NR::Lerp(end_dist / tot_len, offset0, offset1)); break; case NR_CURVETO: for (unsigned ci = 1; ci <= 3; ++ci) { p.setC(ci, p.c(ci) + Lerp((begin_dist + ci * seg2len[si] / 3.) / tot_len, offset0, offset1)); } break; default: g_assert_not_reached(); } begin_dist = end_dist; } g_assert(L1(curve->bpath[nSegs].c(3) - new_p1) < 1.); /* Explicit set for better numerical properties. */ curve->bpath[nSegs].setC(3, new_p1); delete [] seg2len; } void sp_curve_move_endpoints(SPCurve *curve, NR::Point const &new_p0, NR::Point const &new_p1) { if (sp_curve_empty(curve)) { return; } unsigned const nSegs = SP_CURVE_LENGTH(curve) - 1; g_assert(nSegs != 0); curve->bpath->setC(3, new_p0); curve->bpath[nSegs].setC(3, new_p1); } /* 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 :