/* * File: math_cursor.C * Purpose: Interaction for mathed * Author: Alejandro Aguilar Sierra * Created: January 1996 * Description: Math interaction for a WYSIWYG math editor. * * Dependencies: Xlib, XForms * * Copyright: 1996, Alejandro Aguilar Sierra * * Version: 0.8beta, Math & Lyx project. * * You are free to use and modify this code under the terms of * the GNU General Public Licence version 2 or later. */ #ifdef __GNUG__ #pragma implementation #endif #include #include #include #include "debug.h" #include "LColor.h" #include "Painter.h" #include "mathed/support.h" #include "formulabase.h" #include "math_cursor.h" #include "math_arrayinset.h" #include "math_bigopinset.h" #include "math_symbolinset.h" #include "math_decorationinset.h" #include "math_deliminset.h" #include "math_dotsinset.h" #include "math_fracinset.h" #include "math_funcinset.h" #include "math_funcliminset.h" #include "math_gridinset.h" #include "math_macro.h" #include "math_macroarg.h" #include "math_macrotable.h" #include "math_macrotemplate.h" #include "math_matrixinset.h" #include "math_rootinset.h" #include "math_spaceinset.h" #include "math_sqrtinset.h" #include "support/lstrings.h" #include "math_scriptinset.h" #include "math_parser.h" using std::endl; using std::min; using std::max; using std::isalnum; namespace { struct Selection { void grab(MathCursor const & cursor) { data_.clear(); MathCursorPos i1; MathCursorPos i2; cursor.getSelection(i1, i2); if (i1.idx_ == i2.idx_) data_.push_back(MathArray(i1.cell(), i1.pos_, i2.pos_)); else { std::vector indices = i1.par_->idxBetween(i1.idx_, i2.idx_); for (unsigned i = 0; i < indices.size(); ++i) data_.push_back(i1.cell(indices[i])); } } void erase(MathCursor & cursor) { MathCursorPos i1; MathCursorPos i2; cursor.getSelection(i1, i2); if (i1.idx_ == i2.idx_) { i1.cell().erase(i1.pos_, i2.pos_); } else { std::vector indices = i1.par_->idxBetween(i1.idx_, i2.idx_); for (unsigned i = 0; i < indices.size(); ++i) i1.cell(indices[i]).erase(); } cursor.cursor() = i1; } void paste(MathCursor & cursor) const { cursor.insert(glue()); } // glues selection to one cell MathArray glue() const { MathArray ar; for (unsigned i = 0; i < data_.size(); ++i) ar.push_back(data_[i]); return ar; } void clear() { data_.clear(); } std::vector data_; }; Selection theSelection; std::ostream & operator<<(std::ostream & os, MathCursorPos const & p) { os << "(par: " << p.par_ << " idx: " << p.idx_ << " pos: " << p.pos_ << ")"; return os; } } MathCursor::MathCursor(InsetFormulaBase * formula) : formula_(formula), lastcode_(LM_TC_MIN), imacro_(0), selection_(false) { first(); } MathCursor::~MathCursor() { delete imacro_; } void MathCursor::pushLeft(MathInset * par) { MathCursorPos p; p.par_ = par; par->idxFirst(p.idx_, p.pos_); Cursor_.push_back(p); } void MathCursor::pushRight(MathInset * par) { posLeft(); MathCursorPos p; p.par_ = par; par->idxLast(p.idx_, p.pos_); Cursor_.push_back(p); } bool MathCursor::popLeft() { if (Cursor_.size() <= 1) return false; Cursor_.pop_back(); return true; } bool MathCursor::popRight() { if (Cursor_.size() <= 1) return false; Cursor_.pop_back(); posRight(); return true; } MathInset * MathCursor::parInset(int i) const { return Cursor_[i].par_; } void MathCursor::dump(char const * what) const { return; lyxerr << "MC: " << what << "\n"; for (unsigned i = 0; i < Cursor_.size(); ++i) lyxerr << " i: " << i << " pos: " << Cursor_[i].pos_ << " idx: " << Cursor_[i].idx_ << " par: " << Cursor_[i].par_ << "\n"; //lyxerr << " sel: " << selection_ << " data: " << array() << "\n"; } void MathCursor::seldump(char const * str) const { //lyxerr << "SEL: " << str << ": '" << theSelection << "'\n"; //dump(" Pos"); return; lyxerr << "\n\n\n=================vvvvvvvvvvvvv======================= " << str << "\ntheSelection: " << selection_ << " '" << theSelection.glue() << "'\n"; for (unsigned int i = 0; i < Cursor_.size(); ++i) lyxerr << Cursor_[i].par_ << "\n'" << Cursor_[i].cell() << "'\n"; lyxerr << "\n"; for (unsigned int i = 0; i < Anchor_.size(); ++i) lyxerr << Anchor_[i].par_ << "\n'" << Anchor_[i].cell() << "'\n"; //lyxerr << "\ncursor.pos_: " << pos(); //lyxerr << "\nanchor.pos_: " << anchor().pos_; lyxerr << "\n===================^^^^^^^^^^^^=====================\n\n\n"; } bool MathCursor::isInside(MathInset const * p) const { for (unsigned i = 0; i < Cursor_.size(); ++i) if (parInset(i) == p) return true; return false; } bool MathCursor::openable(MathInset * p, bool sel, bool useupdown) const { if (!p) return false; if (!(p->isActive() || (useupdown && p->isScriptInset()))) return false; if (sel) { // we can't move into anything new during selection if (Cursor_.size() == Anchor_.size()) return false; if (p != Anchor_[Cursor_.size()].par_) return false; } return true; } bool MathCursor::posLeft() { if (pos() == 0) return false; --pos(); return true; } bool MathCursor::posRight() { if (pos() == size()) return false; ++pos(); return true; } bool MathCursor::left(bool sel) { dump("Left 1"); if (imacro_) { // was MacroModeBack() if (!imacro_->name().empty()) { imacro_->setName(imacro_->name().substr(0, imacro_->name().length()-1)); imacro_->metrics(imacro_->size()); } else macroModeClose(); return true; } selHandle(sel); clearLastCode(); MathInset * p = prevInset(); if (openable(p, sel, false)) { pushRight(p); return true; } return posLeft() || idxLeft() || popLeft(); } bool MathCursor::right(bool sel) { dump("Right 1"); if (imacro_) { macroModeClose(); return true; } selHandle(sel); clearLastCode(); MathInset * p = nextInset(); if (openable(p, sel, false)) { pushLeft(p); return true; } return posRight() || idxRight() || popRight(); } void MathCursor::first() { Cursor_.clear(); pushLeft(outerPar()); } void MathCursor::last() { first(); end(); } void MathCursor::setPos(int x, int y) { dump("setPos 1"); //lyxerr << "MathCursor::setPos x: " << x << " y: " << y << "\n"; macroModeClose(); lastcode_ = LM_TC_MIN; first(); cursor().par_ = outerPar(); while (1) { idx() = -1; cursor().pos_ = -1; //lyxerr << "found idx: " << idx_ << " cursor: " << pos() << "\n"; int distmin = 1 << 30; // large enough for (int i = 0; i < par()->nargs(); ++i) { MathXArray const & ar = par()->xcell(i); int x1 = x - ar.xo(); int y1 = y - ar.yo(); int c = ar.x2pos(x1); int xx = abs(x1 - ar.pos2x(c)); int yy = abs(y1); //lyxerr << "idx: " << i << " xx: " << xx << " yy: " << yy // << " c: " << c << " xo: " << ar.xo() << "\n"; if (yy + xx <= distmin) { distmin = yy + xx; idx() = i; pos() = c; } } //lyxerr << "found idx: " << idx() << " cursor: " // << pos() << "\n"; MathInset * n = nextInset(); MathInset * p = prevInset(); if (openable(n, selection_, true) && n->covers(x, y)) pushLeft(n); else if (openable(p, selection_, true) && p->covers(x, y)) pushRight(p); else break; } dump("setPos 2"); } void MathCursor::home() { dump("home 1"); macroModeClose(); clearLastCode(); if (!par()->idxHome(idx(), pos())) popLeft(); dump("home 2"); } void MathCursor::end() { dump("end 1"); macroModeClose(); clearLastCode(); if (!par()->idxEnd(idx(), pos())) popRight(); dump("end 2"); } void MathCursor::plainErase() { array().erase(pos()); } void MathCursor::insert(char c, MathTextCodes t) { //lyxerr << "inserting '" << c << "'\n"; if (selection_) selDel(); if (t != LM_TC_MIN) lastcode_ = t; if (imacro_ && !(MathIsAlphaFont(t) || t == LM_TC_MIN)) macroModeClose(); if (imacro_) { if (MathIsAlphaFont(t) || t == LM_TC_MIN) { // was MacroModeinsert(c); imacro_->setName(imacro_->name() + c); return; } } array().insert(pos(), c, t); posRight(); } void MathCursor::insert(MathInset * p) { macroModeClose(); if (selection_) { if (p->nargs()) selCut(); else selDel(); } array().insert(pos(), p); posRight(); } void MathCursor::insert(MathArray const & ar) { macroModeClose(); if (selection_) selCut(); array().insert(pos(), ar); pos() += ar.size(); } void MathCursor::backspace() { if (inMacroMode()) { left(); return; } if (posLeft()) { plainErase(); return; } if (size()) { pullArg(false); return; } erase(); } void MathCursor::erase() { dump("erase 1"); if (imacro_) return; if (selection_) { selDel(); return; } // delete empty cells if necessary if (pos() == 0 && array().empty()) { bool popit; bool removeit; par()->idxDelete(idx(), popit, removeit); if (popit && popLeft() && removeit) plainErase(); return; } if (pos() < size()) plainErase(); dump("erase 2"); } void MathCursor::delLine() { macroModeClose(); if (selection_) { selDel(); return; } if (par()->nrows() > 1) par()->delRow(row()); } bool MathCursor::up(bool sel) { dump("up 1"); macroModeClose(); selHandle(sel); if (selection_) return goUp(); // check whether we could move into an inset on the right or on the left MathInset * p = nextInset(); if (p) { int idxx, poss; if (p->idxFirstUp(idxx, poss)) { pushLeft(p); idx() = idxx; pos() = poss; dump("up 3"); return true; } } p = prevInset(); if (p) { int idxx, poss; if (p->idxLastUp(idxx, poss)) { pushRight(p); idx() = idxx; pos() = poss; dump("up 4"); return true; } } return goUp(); } bool MathCursor::down(bool sel) { dump("down 1"); macroModeClose(); selHandle(sel); if (selection_) return goDown(); // check whether we could move into an inset on the right or on the left MathInset * p = nextInset(); if (p) { int idxx = 0; int poss = 0; if (p->idxFirstDown(idxx, poss)) { pushLeft(p); idx() = idxx; pos() = poss; dump("Down 3"); return true; } } p = prevInset(); if (p) { int idxx = 0; int poss = 0; if (p->idxLastDown(idxx, poss)) { pushRight(p); idx() = idxx; pos() = poss; dump("Down 4"); return true; } } return goDown(); } bool MathCursor::toggleLimits() { MathScriptInset * p = prevScriptInset(); if (!p) return false; int old = p->limits(); p->limits(old < 0 ? 1 : -1); return old != p->limits(); } void MathCursor::setSize(MathStyles size) { par()->userSetSize(size); } void MathCursor::interpret(string const & s) { //lyxerr << "interpret: '" << s << "'\n"; //lyxerr << "in: " << in_word_set(s) << " \n"; if (s.empty()) return; if (s[0] == '^' || s[0] == '_') { bool const up = (s[0] == '^'); selCut(); MathScriptInset * p = prevScriptInset(); if (!p) { MathInset * b = prevInset(); if (b && b->isScriptable()) { p = new MathScriptInset(up, !up, b->clone()); posLeft(); plainErase(); } else { p = new MathScriptInset(up, !up); } insert(p); } pushRight(p); if (up) p->up(true); else p->down(true); idx() = up ? 0 : 1; pos() = 0; selPaste(); return; } if (s[0] == '!' || s[0] == ',' || s[0] == ':' || s[0] == ';') { int sp = (s[0] == ',') ? 1:((s[0] == ':') ? 2:((s[0] == ';') ? 3: 0)); insert(new MathSpaceInset(sp)); return; } MathInset * p = 0; latexkeys const * l = in_word_set(s); if (l == 0) { if (s == "root") p = new MathRootInset; else if (MathMacroTable::hasTemplate(s)) p = new MathMacro(MathMacroTable::provideTemplate(s)); else if (s.size() > 7 && s.substr(0, 7) == "matrix ") { int m = 1; int n = 1; string v_align; string h_align; istringstream is(s.substr(7).c_str()); is >> m >> n >> v_align >> h_align; m = std::max(1, m); n = std::max(1, n); v_align += 'c'; MathArrayInset * pp = new MathArrayInset(m, n); pp->valign(v_align[0]); pp->halign(h_align); p = pp; } else p = new MathFuncInset(s); } else { switch (l->token) { case LM_TK_BIGSYM: p = new MathBigopInset(l); break; case LM_TK_FUNCLIM: p = new MathFuncLimInset(l); break; case LM_TK_SYM: p = new MathSymbolInset(l); break; case LM_TK_STACK: p = new MathFracInset("stackrel"); break; case LM_TK_FRAC: p = new MathFracInset("frac"); break; case LM_TK_SQRT: p = new MathSqrtInset; break; case LM_TK_DECORATION: p = new MathDecorationInset(l); break; case LM_TK_SPACE: p = new MathSpaceInset(l->id); break; case LM_TK_DOTS: p = new MathDotsInset(l); break; case LM_TK_MACRO: p = new MathMacro(MathMacroTable::provideTemplate(s)); break; default: p = new MathFuncInset(l->name); break; } } if (p) { selCut(); insert(p); if (p->nargs()) { posLeft(); right(); // do not push for e.g. MathSymbolInset selPaste(); } p->metrics(p->size()); } } void MathCursor::macroModeOpen() { if (!imacro_) { imacro_ = new MathFuncInset(""); array().insert(pos(), imacro_); ++pos(); //insert(imacro_); } else lyxerr << "Math Warning: Already in macro mode" << endl; } void MathCursor::macroModeClose() { if (imacro_) { string name = imacro_->name(); posLeft(); plainErase(); imacro_ = 0; interpret(name); } } void MathCursor::selCopy() { seldump("selCopy"); if (selection_) { theSelection.grab(*this); selClear(); } } void MathCursor::selCut() { seldump("selCut"); if (selection_) { theSelection.grab(*this); theSelection.erase(*this); selClear(); } else { theSelection.clear(); } } void MathCursor::selDel() { seldump("selDel"); if (selection_) { theSelection.erase(*this); selClear(); } } void MathCursor::selPaste() { seldump("selPaste"); theSelection.paste(*this); selClear(); } void MathCursor::selHandle(bool sel) { if (sel == selection_) return; theSelection.clear(); Anchor_ = Cursor_; selection_ = sel; } void MathCursor::selStart() { seldump("selStart"); if (selection_) return; theSelection.clear(); Anchor_ = Cursor_; selection_ = true; } void MathCursor::selClear() { seldump("selClear"); selection_ = false; } void MathCursor::drawSelection(Painter & pain) const { if (!selection_) return; MathCursorPos i1; MathCursorPos i2; getSelection(i1, i2); //lyxerr << "selection from: " << i1 << " to " << i2 << "\n"; if (i1.idx_ == i2.idx_) { MathXArray & c = i1.xcell(); int x1 = c.xo() + c.pos2x(i1.pos_); int y1 = c.yo() - c.ascent(); int x2 = c.xo() + c.pos2x(i2.pos_); int y2 = c.yo() + c.descent(); pain.fillRectangle(x1, y1, x2 - x1, y2 - y1, LColor::selection); } else { std::vector indices = i1.par_->idxBetween(i1.idx_, i2.idx_); for (unsigned i = 0; i < indices.size(); ++i) { MathXArray & c = i1.xcell(indices[i]); int x1 = c.xo(); int y1 = c.yo() - c.ascent(); int x2 = c.xo() + c.width(); int y2 = c.yo() + c.descent(); pain.fillRectangle(x1, y1, x2 - x1, y2 - y1, LColor::selection); } } } void MathCursor::handleFont(MathTextCodes t) { if (selection_) { MathCursorPos i1; MathCursorPos i2; getSelection(i1, i2); if (i1.idx_ == i2.idx_) { MathArray & ar = i1.cell(); for (int pos = i1.pos_; pos != i2.pos_; ++pos) if (isalnum(ar.getChar(pos))) { MathTextCodes c = ar.getCode(pos) == t ? LM_TC_VAR : t; ar.setCode(pos, c); } } } else lastcode_ = (lastcode_ == t) ? LM_TC_VAR : t; } void MathCursor::handleAccent(string const & name) { latexkeys const * l = in_word_set(name); if (l) handleNest(new MathDecorationInset(l)); } void MathCursor::handleDelim(int l, int r) { handleNest(new MathDelimInset(l, r)); } void MathCursor::handleNest(MathInset * p) { if (selection_) { selCut(); p->cell(0) = theSelection.glue(); } insert(p); pushRight(p); } void MathCursor::getPos(int & x, int & y) { #ifdef WITH_WARNINGS #warning This should probably take cellXOffset and cellYOffset into account #endif x = xarray().xo() + xarray().pos2x(pos()); y = xarray().yo(); } MathTextCodes MathCursor::nextCode() const { return array().getCode(pos()); } MathTextCodes MathCursor::prevCode() const { return array().getCode(pos() - 1); } MathInset * MathCursor::par() const { return cursor().par_; } InsetFormulaBase const * MathCursor::formula() { return formula_; } int MathCursor::idx() const { return cursor().idx_; } int & MathCursor::idx() { return cursor().idx_; } int MathCursor::pos() const { return cursor().pos_; } int & MathCursor::pos() { return cursor().pos_; } bool MathCursor::inMacroMode() const { return imacro_; } bool MathCursor::selection() const { return selection_; } void MathCursor::clearLastCode() { lastcode_ = LM_TC_MIN; } void MathCursor::setLastCode(MathTextCodes t) { lastcode_ = t; } MathTextCodes MathCursor::getLastCode() const { return lastcode_; } MathArrayInset * MathCursor::enclosingArray(int & idx) const { for (int i = Cursor_.size() - 1; i >= 0; --i) { if (Cursor_[i].par_->isArray()) { idx = Cursor_[i].idx_; return static_cast(Cursor_[i].par_); } } return 0; } void MathCursor::pullArg(bool goright) { // pullArg dump("pullarg"); MathArray a = array(); if (popLeft()) { plainErase(); array().insert(pos(), a); if (goright) pos() += a.size(); } } MathStyles MathCursor::style() const { return xarray().style(); } void MathCursor::normalize() const { #ifdef WITH_WARNINGS #warning This is evil! #endif MathCursor * it = const_cast(this); if (idx() < 0) lyxerr << "this should not really happen - 1: " << idx() << "\n"; if (idx() >= par()->nargs()) { lyxerr << "this should not really happen - 2: " << idx() << " " << par()->nargs() << "\n"; dump("error 2"); } it->idx() = max(idx(), 0); it->idx() = min(idx(), par()->nargs() - 1); if (pos() < 0) lyxerr << "this should not really happen - 3: " << pos() << "\n"; if (pos() > size()) { lyxerr << "this should not really happen - 4: " << pos() << " " << size() << "\n"; dump("error 4"); } it->pos() = max(pos(), 0); it->pos() = min(pos(), size()); } int MathCursor::size() const { return array().size(); } int MathCursor::col() const { return par()->col(idx()); } int MathCursor::row() const { return par()->row(idx()); } /* char MathCursorPos::getChar() const { return array().getChar(pos()); } string MathCursorPos::readString() { string s; int code = nextCode(); for ( ; OK() && nextCode() == code; Next()) s += getChar(); return s; } */ MathInset * MathCursor::prevInset() const { normalize(); if (!pos()) return 0; return array().nextInset(pos() - 1); } MathInset * MathCursor::nextInset() const { normalize(); return array().nextInset(pos()); } MathScriptInset * MathCursor::prevScriptInset() const { normalize(); MathInset * p = prevInset(); return (p && p->isScriptInset()) ? static_cast(p) : 0; } MathSpaceInset * MathCursor::prevSpaceInset() const { normalize(); MathInset * p = prevInset(); return (p && p->isSpaceInset()) ? static_cast(p) : 0; } MathArray & MathCursor::array() const { static MathArray dummy; if (!par()) { lyxerr << "############ par_ not valid\n"; return dummy; } if (idx() < 0 || idx() >= par()->nargs()) { lyxerr << "############ idx_ " << idx() << " not valid\n"; return dummy; } return cursor().cell(); } MathXArray & MathCursor::xarray() const { return cursor().xcell(); } void MathCursor::idxNext() { par()->idxNext(idx(), pos()); } void MathCursor::idxPrev() { par()->idxPrev(idx(), pos()); } void MathCursor::splitCell() { if (idx() == par()->nargs() - 1) return; MathArray ar = array(); ar.erase(0, pos()); array().erase(pos(), size()); ++idx(); pos() = 0; array().insert(0, ar); } void MathCursor::breakLine() { MathMatrixInset * p = outerPar(); if (p->getType() == LM_OT_SIMPLE || p->getType() == LM_OT_EQUATION) { p->mutate(LM_OT_EQNARRAY); p->addRow(0); idx() = p->nrows(); pos() = 0; } else { p->addRow(row()); // split line const int r = row(); for (int c = col() + 1; c < p->ncols(); ++c) { const int i1 = p->index(r, c); const int i2 = p->index(r + 1, c); lyxerr << "swapping cells " << i1 << " and " << i2 << "\n"; p->cell(i1).swap(p->cell(i2)); } // split cell splitCell(); p->cell(idx()).swap(p->cell(idx() + p->ncols() - 1)); } } char MathCursor::valign() const { int idx; MathArrayInset * p = enclosingArray(idx); return p ? p->valign() : 0; } char MathCursor::halign() const { int idx; MathArrayInset * p = enclosingArray(idx); return p ? p->halign(idx % p->ncols()) : 0; } void MathCursor::getSelection(MathCursorPos & i1, MathCursorPos & i2) const { MathCursorPos anc = normalAnchor(); if (anc < cursor()) { i1 = anc; i2 = cursor(); } else { i1 = cursor(); i2 = anc; } } MathCursorPos & MathCursor::cursor() { return Cursor_.back(); } MathCursorPos const & MathCursor::cursor() const { return Cursor_.back(); } int MathCursor::cellXOffset() const { return par()->cellXOffset(idx()); } int MathCursor::cellYOffset() const { return par()->cellYOffset(idx()); } int MathCursor::xpos() const { return cellXOffset() + xarray().pos2x(pos()); } int MathCursor::ypos() const { return cellYOffset(); } void MathCursor::gotoX(int x) { pos() = xarray().x2pos(x - cellXOffset()); } bool MathCursor::goUp() { int x0; int y0; getPos(x0, y0); std::vector save = Cursor_; y0 -= xarray().ascent(); for (int y = y0 - 4; y > outerPar()->yo() - outerPar()->ascent(); y -= 4) { setPos(x0, y); if (save != Cursor_ && xarray().yo() < y0) return true; } Cursor_ = save; return false; } bool MathCursor::goDown() { int x0; int y0; getPos(x0, y0); std::vector save = Cursor_; y0 += xarray().descent(); for (int y = y0 + 4; y < outerPar()->yo() + outerPar()->descent(); y += 4) { setPos(x0, y); if (save != Cursor_ && xarray().yo() > y0) return true; } Cursor_ = save; return false; } bool MathCursor::idxLeft() { return par()->idxLeft(idx(), pos()); } bool MathCursor::idxRight() { return par()->idxRight(idx(), pos()); } MathMatrixInset * MathCursor::outerPar() const { return static_cast(const_cast(formula_->par())); } //////////////////////////////////////////////////////////////////////// bool operator==(MathCursorPos const & ti, MathCursorPos const & it) { return ti.par_ == it.par_ && ti.idx_ == it.idx_ && ti.pos_ == it.pos_; } bool operator<(MathCursorPos const & ti, MathCursorPos const & it) { if (ti.par_ != it.par_) { lyxerr << "can't compare cursor and anchor in different insets\n"; return true; } if (ti.idx_ != it.idx_) return ti.idx_ < it.idx_; return ti.pos_ < it.pos_; } MathArray & MathCursorPos::cell(int idx) const { return par_->cell(idx); } MathArray & MathCursorPos::cell() const { return par_->cell(idx_); } MathXArray & MathCursorPos::xcell(int idx) const { return par_->xcell(idx); } MathXArray & MathCursorPos::xcell() const { return par_->xcell(idx_); } MathCursorPos MathCursor::normalAnchor() const { // use Anchor on the same level as Cursor MathCursorPos normal = Anchor_[Cursor_.size() - 1]; if (Cursor_.size() < Anchor_.size() && !(normal < cursor())) { // anchor is behind cursor -> move anchor behind the inset ++normal.pos_; } return normal; }