lily/lookup.cc

   1 /*
   2   lookup.cc -- implement simple Lookup methods.
   3
   4   source file of the GNU LilyPond music typesetter
   5
   6   (c)  1997--2003 Han-Wen Nienhuys <hanwen@cs.uu.nl>
   7
   8   Jan Nieuwenhuizen <janneke@gnu.org>
   9
  10   TODO
  11       Glissando
  12 */
  13 #include <math.h>
  14 #include <ctype.h>
  15
  16 #include "warn.hh"
  17 #include "dimensions.hh"
  18 #include "bezier.hh"
  19 #include "string-convert.hh"
  20 #include "file-path.hh"
  21 #include "main.hh"
  22 #include "lily-guile.hh"
  23 #include "molecule.hh"
  24 #include "lookup.hh"
  25 #include "font-metric.hh"
  26 #include "interval.hh"
  27
  28 Molecule
  29 Lookup::dot (Offset p, Real radius)
  30 {
  31   SCM at = (scm_list_n (ly_symbol2scm ("dot"),
  32                         gh_double2scm (p[X_AXIS]),
  33                         gh_double2scm (p[Y_AXIS]),
  34                         gh_double2scm (radius),
  35                         SCM_UNDEFINED));
  36   Box box;
  37   box.add_point (p - Offset (radius, radius));
  38   box.add_point (p + Offset (radius, radius));
  39   return Molecule (box, at);
  40 }
  41
  42 Molecule
  43 Lookup::beam (Real slope, Real width, Real thick)
  44 {
  45   Real height = slope * width;
  46   Real min_y = (0 <? height) - thick/2;
  47   Real max_y = (0 >? height) + thick/2;
  48
  49
  50
  51   Box b (Interval (0, width),
  52          Interval (min_y, max_y));
  53
  54
  55   SCM at = scm_list_n (ly_symbol2scm ("beam"),
  56                     gh_double2scm (width),
  57                     gh_double2scm (slope),
  58                     gh_double2scm (thick),
  59                     SCM_UNDEFINED);
  60   return Molecule (b, at);
  61 }
  62
  63 Molecule
  64 Lookup::dashed_slur (Bezier b, Real thick, Real dash)
  65 {
  66   SCM l = SCM_EOL;
  67
  68   for (int i= 4; i -- ;)
  69     {
  70       l = gh_cons (ly_offset2scm (b.control_[i]), l);
  71     }
  72
  73   SCM at = (scm_list_n (ly_symbol2scm ("dashed-slur"),
  74                                gh_double2scm (thick),
  75                                gh_double2scm (dash),
  76                                ly_quote_scm (l),
  77                                SCM_UNDEFINED));
  78
  79   Box box (Interval (0,0),Interval (0,0));
  80   return   Molecule (box, at);
  81 }
  82
  83 Molecule
  84 Lookup::line (Real th, Offset from, Offset to)
  85 {
  86   SCM at = scm_list_n (ly_symbol2scm ("draw-line"),
  87                         gh_double2scm (th),
  88                         gh_double2scm (from[X_AXIS]),
  89                         gh_double2scm (from[Y_AXIS]),
  90                         gh_double2scm (to[X_AXIS]),
  91                         gh_double2scm (to[Y_AXIS]),
  92                         SCM_UNDEFINED);
  93
  94   Box box;
  95   box.add_point (from);
  96   box.add_point (to);
  97
  98   box[X_AXIS].widen (th/2);
  99   box[Y_AXIS].widen (th/2);
 100
 101   return Molecule (box, at);
 102 }
 103
 104 Molecule
 105 Lookup::horizontal_line (Interval w, Real th)
 106 {
 107   SCM at = scm_list_n (ly_symbol2scm ("horizontal-line"),
 108                        gh_double2scm (w[LEFT]),
 109                        gh_double2scm (w[RIGHT]),
 110                        gh_double2scm (th),
 111                        SCM_UNDEFINED);
 112
 113
 114   Box box ;
 115   box[X_AXIS] = w;
 116   box[Y_AXIS] = Interval (-th/2,th/2);
 117
 118   return Molecule (box, at);
 119 }
 120
 121
 122 Molecule
 123 Lookup::blank (Box b)
 124 {
 125   return Molecule (b, scm_makfrom0str (""));
 126 }
 127
 128 Molecule
 129 Lookup::filledbox (Box b)
 130 {
 131   SCM  at  = (scm_list_n (ly_symbol2scm ("filledbox"),
 132                      gh_double2scm (-b[X_AXIS][LEFT]),
 133                      gh_double2scm (b[X_AXIS][RIGHT]),
 134                      gh_double2scm (-b[Y_AXIS][DOWN]),
 135                      gh_double2scm (b[Y_AXIS][UP]),
 136                      SCM_UNDEFINED));
 137
 138   return Molecule (b,at);
 139 }
 140
 141 /*
 142  * round filled box:
 143  *
 144  *   __________________________________
 145  *  /     \  ^           /     \      ^
 146  * |         |blot              |     |
 147  * |       | |dia       |       |     |
 148  * |         |meter             |     |
 149  * |\ _ _ /  v           \ _ _ /|     |
 150  * |                            |     |
 151  * |                            |     | Box
 152  * |                    <------>|     | extent
 153  * |                      blot  |     | (Y_AXIS)
 154  * |                    diameter|     |
 155  * |                            |     |
 156  * |  _ _                  _ _  |     |
 157  * |/     \              /     \|     |
 158  * |                            |     |
 159  * |       |            |       |     |
 160  * |                            |     |
 161  * x\_____/______________\_____/|_____v
 162  * |(0,0)                       |
 163  * |                            |
 164  * |                            |
 165  * |<-------------------------->|
 166  *       Box extent(X_AXIS)
 167  */
 168 Molecule
 169 Lookup::roundfilledbox (Box b, Real blotdiameter)
 170 {
 171   if (b.x ().length () < blotdiameter)
 172     {
 173       programming_error (_f ("round filled box horizontal extent smaller than blot; decreasing blot"));
 174       blotdiameter = b.x ().length ();
 175     }
 176   if (b.y ().length () < blotdiameter)
 177     {
 178       programming_error (_f ("round filled box vertical extent smaller than blot; decreasing blot"));
 179       blotdiameter = b.y ().length ();
 180     }
 181
 182   SCM at = (scm_list_n (ly_symbol2scm ("roundfilledbox"),
 183                         gh_double2scm (-b[X_AXIS][LEFT]),
 184                         gh_double2scm (b[X_AXIS][RIGHT]),
 185                         gh_double2scm (-b[Y_AXIS][DOWN]),
 186                         gh_double2scm (b[Y_AXIS][UP]),
 187                         gh_double2scm (blotdiameter),
 188                         SCM_UNDEFINED));
 189
 190   return Molecule (b,at);
 191 }
 192
 193 LY_DEFINE(ly_round_filled_box, "ly:round-filled-box",
 194           2, 0,0,
 195           (SCM b, SCM blot),
 196           "Make a box with rounded corners. B is a pair of number-pairs, and BLOT a number")
 197 {
 198   SCM_ASSERT_TYPE(gh_number_p (blot), blot, SCM_ARG2, __FUNCTION__, "number") ;
 199   SCM_ASSERT_TYPE(gh_pair_p (b), b, SCM_ARG4, __FUNCTION__, "pair") ;
 200
 201   SCM_ASSERT_TYPE(ly_number_pair_p (gh_car (b)), gh_car (b), SCM_ARG1, __FUNCTION__, "number-pair") ;
 202   SCM_ASSERT_TYPE(ly_number_pair_p (gh_cdr (b)), gh_cdr (b), SCM_ARG1, __FUNCTION__, "number-pair") ;
 203
 204   Interval x (ly_scm2interval (gh_car (b)));
 205   Interval y (ly_scm2interval (gh_cdr (b)));
 206
 207   return Lookup::roundfilledbox (Box (x,y),
 208                                  gh_scm2double (blot)).smobbed_copy();
 209
 210 }
 211
 212
 213 /*
 214  * Create Molecule that represents a filled polygon with round edges.
 215  *
 216  * LIMITATIONS:
 217  *
 218  * (a) Only outer (convex) edges are rounded.
 219  *
 220  * (b) This algorithm works as expected only for polygons whose edges
 221  * do not intersect.  For example, the polygon ((0, 0), (q, 0), (0,
 222  * q), (q, q)) has an intersection at point (q/2, q/2) and therefore
 223  * will give a strange result.  Even non-adjacent edges that just
 224  * touch each other will in general not work as expected for non-null
 225  * blotdiameter.
 226  *
 227  * (c) Given a polygon ((x0, y0), (x1, y1), ... , (x(n-1), y(n-1))),
 228  * if there is a natural number k such that blotdiameter is greater
 229  * than the maximum of { | (x(k mod n), y(k mod n)) - (x((k+1) mod n),
 230  * y((k+1) mod n)) |, | (x(k mod n), y(k mod n)) - (x((k+2) mod n),
 231  * y((k+2) mod n)) |, | (x((k+1) mod n), y((k+1) mod n)) - (x((k+2)
 232  * mod n), y((k+2) mod n)) | }, then the outline of the rounded
 233  * polygon will exceed the outline of the core polygon.  In other
 234  * words: Do not draw rounded polygons that have a leg smaller or
 235  * thinner than blotdiameter (or set blotdiameter to a sufficiently
 236  * small value -- maybe even 0.0)!
 237  *
 238  * NOTE: Limitations (b) and (c) arise from the fact that round edges
 239  * are made by moulding sharp edges to round ones rather than adding
 240  * to a core filled polygon.  For details of these two different
 241  * approaches, see the thread upon the ledger lines patch that started
 242  * on March 25, 2002 on the devel mailing list.  The below version of
 243  * round_filled_polygon() sticks to the moulding model, which the
 244  * majority of the list participants finally voted for.  This,
 245  * however, results in the above limitations and a much increased
 246  * complexity of the algorithm, since it has to compute a shrinked
 247  * polygon -- which is not trivial define precisely and unambigously.
 248  * With the other approach, one simply could move a circle of size
 249  * blotdiameter along all edges of the polygon (which is what the
 250  * postscript routine in the backend effectively does, but on the
 251  * shrinked polygon). --jr
 252  */
 253 Molecule
 254 Lookup::round_filled_polygon (Array<Offset> points, Real blotdiameter)
 255 {
 256   /* TODO: Maybe print a warning if one of the above limitations
 257      applies to the given polygon.  However, this is quite complicated
 258      to check. */
 259
 260   /* remove consecutive duplicate points */
 261   const Real epsilon = 0.01;
 262   for (int i = 0; i < points.size ();)
 263     {
 264       int next_i = (i + 1) % points.size ();
 265       Real d = (points[i] - points[next_i]).length ();
 266       if (d < epsilon)
 267         points.del (next_i);
 268       else
 269         i++;
 270     }
 271
 272   /* special cases: degenerated polygons */
 273   if (points.size () == 0)
 274     return Molecule ();
 275   if (points.size () == 1)
 276     return dot (points[0], 0.5 * blotdiameter);
 277   if (points.size () == 2)
 278     return line (blotdiameter, points[0], points[1]);
 279
 280   /* shrink polygon in size by 0.5 * blotdiameter */
 281   Array<Offset> shrinked_points;
 282   shrinked_points.set_size (points.size ());
 283   bool ccw = 1; // true, if three adjacent points are counterclockwise ordered
 284   for (int i = 0; i < points.size (); i++)
 285     {
 286       int i0 = i;
 287       int i1 = (i + 1) % points.size ();
 288       int i2 = (i + 2) % points.size ();
 289       Offset p0 = points[i0];
 290       Offset p1 = points[i1];
 291       Offset p2 = points[i2];
 292       Offset p10 = p0 - p1;
 293       Offset p12 = p2 - p1;
 294       if (p10.length () != 0.0)
 295         { // recompute ccw
 296           Real phi = p10.arg ();
 297           // rotate (p2 - p0) by (-phi)
 298           Offset q = complex_multiply (p2 - p0, complex_exp (Offset (1.0, -phi)));
 299
 300           if (q[Y_AXIS] > 0)
 301             ccw = 1;
 302           else if (q[Y_AXIS] < 0)
 303             ccw = 0;
 304           else {} // keep ccw unchanged
 305         }
 306       else {} // keep ccw unchanged
 307       Offset p10n = (1.0 / p10.length ()) * p10; // normalize length to 1.0
 308       Offset p12n = (1.0 / p12.length ()) * p12;
 309       Offset p13n = 0.5 * (p10n + p12n);
 310       Offset p14n = 0.5 * (p10n - p12n);
 311       Offset p13;
 312       Real d = p13n.length () * p14n.length (); // distance p3n to line(p1..p0)
 313       if (d < epsilon)
 314         // special case: p0, p1, p2 are on a single line => build
 315         // vector orthogonal to (p2-p0) of length 0.5 blotdiameter
 316         {
 317           p13[X_AXIS] = p10[Y_AXIS];
 318           p13[Y_AXIS] = -p10[X_AXIS];
 319           p13 = (0.5 * blotdiameter / p13.length ()) * p13;
 320         }
 321       else
 322         p13 = (0.5 * blotdiameter / d) * p13n;
 323       shrinked_points[i1] = p1 + ((ccw) ? p13 : -p13);
 324     }
 325
 326   /* build scm expression and bounding box */
 327   SCM shrinked_points_scm = SCM_EOL;
 328   Box box;
 329   for (int i = 0; i < shrinked_points.size (); i++)
 330     {
 331       SCM x = gh_double2scm (shrinked_points[i][X_AXIS]);
 332       SCM y = gh_double2scm (shrinked_points[i][Y_AXIS]);
 333       shrinked_points_scm = gh_cons (x, gh_cons (y, shrinked_points_scm));
 334       box.add_point (points[i]);
 335     }
 336   SCM polygon_scm = scm_list_n (ly_symbol2scm ("polygon"),
 337                                 ly_quote_scm (shrinked_points_scm),
 338                                 gh_double2scm (blotdiameter),
 339                                 SCM_UNDEFINED);
 340
 341   Molecule polygon = Molecule (box, polygon_scm);
 342   shrinked_points.clear ();
 343   return polygon;
 344 }
 345
 346 Molecule
 347 Lookup::frame (Box b, Real thick)
 348 {
 349   Molecule m;
 350   Direction d = LEFT;
 351   for (Axis a = X_AXIS; a < NO_AXES; a = Axis (a + 1))
 352     {
 353       Axis o = Axis ((a+1)%NO_AXES);
 354       do
 355         {
 356           Box edges;
 357           edges[a] = b[a][d] + 0.5 * thick * Interval (-1, 1);
 358           edges[o][DOWN] = b[o][DOWN] - thick/2;
 359           edges[o][UP] = b[o][UP] + thick/2;
 360
 361           m.add_molecule (filledbox (edges));
 362         }
 363       while (flip (&d) != LEFT);
 364     }
 365   return m;
 366
 367 }
 368
 369 /*
 370   Make a smooth curve along the points
 371  */
 372 Molecule
 373 Lookup::slur (Bezier curve, Real curvethick, Real linethick)
 374 {
 375   Real alpha = (curve.control_[3] - curve.control_[0]).arg ();
 376   Bezier back = curve;
 377   Offset perp = curvethick * complex_exp (Offset (0, alpha + M_PI/2)) * 0.5;
 378   back.reverse ();
 379   back.control_[1] += perp;
 380   back.control_[2] += perp;
 381
 382   curve.control_[1] -= perp;
 383   curve.control_[2] -= perp;
 384
 385   SCM scontrols[8];
 386
 387   for (int i=4; i--;)
 388     scontrols[ i ] = ly_offset2scm (back.control_[i]);
 389   for (int i=4 ; i--;)
 390     scontrols[i+4] = ly_offset2scm (curve.control_[i]);
 391
 392   /*
 393     Need the weird order b.o. the way PS want its arguments
 394    */
 395   int indices[]= {5, 6, 7, 4, 1, 2, 3, 0};
 396   SCM list = SCM_EOL;
 397   for (int i= 8; i--;)
 398     {
 399       list = gh_cons (scontrols[indices[i]], list);
 400     }
 401
 402
 403   SCM at = (scm_list_n (ly_symbol2scm ("bezier-bow"),
 404                      ly_quote_scm (list),
 405                      gh_double2scm (linethick),
 406                      SCM_UNDEFINED));
 407   Box b(curve.extent (X_AXIS),
 408         curve.extent (Y_AXIS));
 409
 410   b[X_AXIS].unite (back.extent (X_AXIS));
 411   b[Y_AXIS].unite (back.extent (Y_AXIS));
 412
 413   return Molecule (b, at);
 414 }
 415
 416 /*
 417  * Bezier Sandwich:
 418  *
 419  *                               .|
 420  *                        .       |
 421  *              top .             |
 422  *              . curve           |
 423  *          .                     |
 424  *       .                        |
 425  *     .                          |
 426  *    |                           |
 427  *    |                          .|
 428  *    |                     .
 429  *    |         bottom .
 430  *    |            . curve
 431  *    |         .
 432  *    |      .
 433  *    |   .
 434  *    | .
 435  *    |.
 436  *    |
 437  *
 438  */
 439 Molecule
 440 Lookup::bezier_sandwich (Bezier top_curve, Bezier bottom_curve)
 441 {
 442   /*
 443     Need the weird order b.o. the way PS want its arguments
 444    */
 445   SCM list = SCM_EOL;
 446   list = gh_cons (ly_offset2scm (bottom_curve.control_[3]), list);
 447   list = gh_cons (ly_offset2scm (bottom_curve.control_[0]), list);
 448   list = gh_cons (ly_offset2scm (bottom_curve.control_[1]), list);
 449   list = gh_cons (ly_offset2scm (bottom_curve.control_[2]), list);
 450   list = gh_cons (ly_offset2scm (top_curve.control_[0]), list);
 451   list = gh_cons (ly_offset2scm (top_curve.control_[3]), list);
 452   list = gh_cons (ly_offset2scm (top_curve.control_[2]), list);
 453   list = gh_cons (ly_offset2scm (top_curve.control_[1]), list);
 454
 455   SCM horizontal_bend = scm_list_n (ly_symbol2scm ("bezier-sandwich"),
 456                                     ly_quote_scm (list),
 457                                     gh_double2scm (0.0),
 458                                     SCM_UNDEFINED);
 459
 460   Interval x_extent = top_curve.extent (X_AXIS);
 461   x_extent.unite (bottom_curve.extent (X_AXIS));
 462   Interval y_extent = top_curve.extent (Y_AXIS);
 463   y_extent.unite (bottom_curve.extent (Y_AXIS));
 464   Box b (x_extent, y_extent);
 465
 466   return Molecule (b, horizontal_bend);
 467 }
 468
 469 /*
 470  * Horizontal Slope:
 471  *
 472  *            /|   ^
 473  *           / |   |
 474  *          /  |   | height
 475  *         /   |   |
 476  *        /    |   v
 477  *       |    /
 478  *       |   /
 479  * (0,0) x  /slope=dy/dx
 480  *       | /
 481  *       |/
 482  *
 483  *       <----->
 484  *        width
 485  */
 486 Molecule
 487 Lookup::horizontal_slope (Real width, Real slope, Real height)
 488 {
 489   SCM width_scm = gh_double2scm (width);
 490   SCM slope_scm = gh_double2scm (slope);
 491   SCM height_scm = gh_double2scm (height);
 492   SCM horizontal_slope = scm_list_n (ly_symbol2scm ("beam"),
 493                                      width_scm, slope_scm,
 494                                      height_scm, SCM_UNDEFINED);
 495   Box b (Interval (0, width),
 496          Interval (-height/2, height/2 + width*slope));
 497   return Molecule (b, horizontal_slope);
 498 }
 499
 500 /*
 501   TODO: junk me.
 502  */
 503 Molecule
 504 Lookup::accordion (SCM s, Real staff_space, Font_metric *fm)
 505 {
 506   Molecule m;
 507   String sym = ly_scm2string (ly_car (s));
 508   String reg = ly_scm2string (ly_car (ly_cdr (s)));
 509
 510   if (sym == "Discant")
 511     {
 512       Molecule r = fm->find_by_name ("accordion-accDiscant");
 513       m.add_molecule (r);
 514       if (reg.left_string (1) == "F")
 515         {
 516           Molecule d = fm->find_by_name ("accordion-accDot");
 517           d.translate_axis (staff_space * 2.5 PT, Y_AXIS);
 518           m.add_molecule (d);
 519           reg = reg.right_string (reg.length ()-1);
 520         }
 521       int eflag = 0x00;
 522       if (reg.left_string (3) == "EEE")
 523         {
 524           eflag = 0x07;
 525           reg = reg.right_string (reg.length ()-3);
 526         }
 527       else if (reg.left_string (2) == "EE")
 528         {
 529           eflag = 0x05;
 530           reg = reg.right_string (reg.length ()-2);
 531         }
 532       else if (reg.left_string (2) == "Eh")
 533         {
 534           eflag = 0x04;
 535           reg = reg.right_string (reg.length ()-2);
 536         }
 537       else if (reg.left_string (1) == "E")
 538         {
 539           eflag = 0x02;
 540           reg = reg.right_string (reg.length ()-1);
 541         }
 542       if (eflag & 0x02)
 543         {
 544           Molecule d = fm->find_by_name ("accordion-accDot");
 545           d.translate_axis (staff_space * 1.5 PT, Y_AXIS);
 546           m.add_molecule (d);
 547         }
 548       if (eflag & 0x04)
 549         {
 550           Molecule d = fm->find_by_name ("accordion-accDot");
 551           d.translate_axis (staff_space * 1.5 PT, Y_AXIS);
 552           d.translate_axis (0.8 * staff_space PT, X_AXIS);
 553           m.add_molecule (d);
 554         }
 555       if (eflag & 0x01)
 556         {
 557           Molecule d = fm->find_by_name ("accordion-accDot");
 558           d.translate_axis (staff_space * 1.5 PT, Y_AXIS);
 559           d.translate_axis (-0.8 * staff_space PT, X_AXIS);
 560           m.add_molecule (d);
 561         }
 562       if (reg.left_string (2) == "SS")
 563         {
 564           Molecule d = fm->find_by_name ("accordion-accDot");
 565           d.translate_axis (0.5 * staff_space PT, Y_AXIS);
 566           d.translate_axis (0.4 * staff_space PT, X_AXIS);
 567           m.add_molecule (d);
 568           d.translate_axis (-0.8 * staff_space PT, X_AXIS);
 569           m.add_molecule (d);
 570           reg = reg.right_string (reg.length ()-2);
 571         }
 572       if (reg.left_string (1) == "S")
 573         {
 574           Molecule d = fm->find_by_name ("accordion-accDot");
 575           d.translate_axis (0.5 * staff_space PT, Y_AXIS);
 576           m.add_molecule (d);
 577           reg = reg.right_string (reg.length ()-1);
 578         }
 579     }
 580   else if (sym == "Freebase")
 581     {
 582       Molecule r = fm->find_by_name ("accordion-accFreebase");
 583       m.add_molecule (r);
 584       if (reg.left_string (1) == "F")
 585         {
 586           Molecule d = fm->find_by_name ("accordion-accDot");
 587           d.translate_axis (staff_space * 1.5 PT, Y_AXIS);
 588           m.add_molecule (d);
 589           reg = reg.right_string (reg.length ()-1);
 590         }
 591       if (reg == "E")
 592         {
 593           Molecule d = fm->find_by_name ("accordion-accDot");
 594           d.translate_axis (staff_space * 0.5 PT, Y_AXIS);
 595           m.add_molecule (d);
 596         }
 597     }
 598   else if (sym == "Bayanbase")
 599     {
 600       Molecule r = fm->find_by_name ("accordion-accBayanbase");
 601       m.add_molecule (r);
 602       if (reg.left_string (1) == "T")
 603         {
 604           Molecule d = fm->find_by_name ("accordion-accDot");
 605           d.translate_axis (staff_space * 2.5 PT, Y_AXIS);
 606           m.add_molecule (d);
 607           reg = reg.right_string (reg.length ()-1);
 608         }
 609       /* include 4' reed just for completeness. You don't want to use this. */
 610       if (reg.left_string (1) == "F")
 611         {
 612           Molecule d = fm->find_by_name ("accordion-accDot");
 613           d.translate_axis (staff_space * 1.5 PT, Y_AXIS);
 614           m.add_molecule (d);
 615           reg = reg.right_string (reg.length ()-1);
 616         }
 617       if (reg.left_string (2) == "EE")
 618         {
 619           Molecule d = fm->find_by_name ("accordion-accDot");
 620           d.translate_axis (staff_space * 0.5 PT, Y_AXIS);
 621           d.translate_axis (0.4 * staff_space PT, X_AXIS);
 622           m.add_molecule (d);
 623           d.translate_axis (-0.8 * staff_space PT, X_AXIS);
 624           m.add_molecule (d);
 625           reg = reg.right_string (reg.length ()-2);
 626         }
 627       if (reg.left_string (1) == "E")
 628         {
 629           Molecule d = fm->find_by_name ("accordion-accDot");
 630           d.translate_axis (staff_space * 0.5 PT, Y_AXIS);
 631           m.add_molecule (d);
 632           reg = reg.right_string (reg.length ()-1);
 633         }
 634     }
 635   else if (sym == "Stdbase")
 636     {
 637       Molecule r = fm->find_by_name ("accordion-accStdbase");
 638       m.add_molecule (r);
 639       if (reg.left_string (1) == "T")
 640         {
 641           Molecule d = fm->find_by_name ("accordion-accDot");
 642           d.translate_axis (staff_space * 3.5 PT, Y_AXIS);
 643           m.add_molecule (d);
 644           reg = reg.right_string (reg.length ()-1);
 645         }
 646       if (reg.left_string (1) == "F")
 647         {
 648           Molecule d = fm->find_by_name ("accordion-accDot");
 649           d.translate_axis (staff_space * 2.5 PT, Y_AXIS);
 650           m.add_molecule (d);
 651           reg = reg.right_string (reg.length ()-1);
 652         }
 653       if (reg.left_string (1) == "M")
 654         {
 655           Molecule d = fm->find_by_name ("accordion-accDot");
 656           d.translate_axis (staff_space * 2 PT, Y_AXIS);
 657           d.translate_axis (staff_space PT, X_AXIS);
 658           m.add_molecule (d);
 659           reg = reg.right_string (reg.length ()-1);
 660         }
 661       if (reg.left_string (1) == "E")
 662         {
 663           Molecule d = fm->find_by_name ("accordion-accDot");
 664           d.translate_axis (staff_space * 1.5 PT, Y_AXIS);
 665           m.add_molecule (d);
 666           reg = reg.right_string (reg.length ()-1);
 667         }
 668       if (reg.left_string (1) == "S")
 669         {
 670           Molecule d = fm->find_by_name ("accordion-accDot");
 671           d.translate_axis (staff_space * 0.5 PT, Y_AXIS);
 672           m.add_molecule (d);
 673           reg = reg.right_string (reg.length ()-1);
 674         }
 675     }
 676   /* ugh maybe try to use regular font for S.B. and B.B and only use one font
 677      for the rectangle */
 678   else if (sym == "SB")
 679     {
 680       Molecule r = fm->find_by_name ("accordion-accSB");
 681       m.add_molecule (r);
 682     }
 683   else if (sym == "BB")
 684     {
 685       Molecule r = fm->find_by_name ("accordion-accBB");
 686       m.add_molecule (r);
 687     }
 688   else if (sym == "OldEE")
 689     {
 690       Molecule r = fm->find_by_name ("accordion-accOldEE");
 691       m.add_molecule (r);
 692     }
 693   else if (sym == "OldEES")
 694     {
 695       Molecule r = fm->find_by_name ("accordion-accOldEES");
 696       m.add_molecule (r);
 697     }
 698   return m;
 699 }
 700
 701 Molecule
 702 Lookup::repeat_slash (Real w, Real s, Real t)
 703 {
 704   SCM wid = gh_double2scm (w);
 705   SCM sl = gh_double2scm (s);
 706   SCM thick = gh_double2scm (t);
 707   SCM slashnodot = scm_list_n (ly_symbol2scm ("repeat-slash"),
 708                             wid, sl, thick, SCM_UNDEFINED);
 709
 710   Box b (Interval (0, w + sqrt (sqr(t/s) + sqr (t))),
 711          Interval (0, w * s));
 712
 713   return Molecule (b, slashnodot); //  http://slashnodot.org
 714 }
 715
 716 Molecule
 717 Lookup::bracket (Axis a, Interval iv, Real thick, Real protude)
 718 {
 719   Box b;
 720   Axis other = Axis((a+1)%2);
 721   b[a] = iv;
 722   b[other] = Interval(-1, 1) * thick * 0.5;
 723
 724   Molecule m =  filledbox (b);
 725
 726   b[a] = Interval (iv[UP] - thick, iv[UP]);
 727   Interval oi = Interval (-thick/2, thick/2 + fabs (protude)) ;
 728   oi *=  sign (protude);
 729   b[other] = oi;
 730   m.add_molecule (filledbox (b));
 731   b[a] = Interval (iv[DOWN], iv[DOWN]  +thick);
 732   m.add_molecule (filledbox(b));
 733
 734   return m;
 735 }
 736
 737 Molecule
 738 Lookup::triangle (Interval iv, Real thick, Real protude)
 739 {
 740   Box b ;
 741   b[X_AXIS] = iv;
 742   b[Y_AXIS] = Interval (0 <? protude , 0 >? protude);
 743
 744   SCM s = scm_list_n (ly_symbol2scm ("symmetric-x-triangle"),
 745                       gh_double2scm (thick),
 746                       gh_double2scm (iv.length()),
 747                       gh_double2scm (protude), SCM_UNDEFINED);
 748
 749   return Molecule (b, s);
 750 }
 751
 752
 753 /*
 754   TODO: use rounded boxes.
 755  */
 756 LY_DEFINE(ly_bracket ,"ly:bracket",
 757           4, 0, 0,
 758           (SCM a, SCM iv, SCM t, SCM p),
 759           "Make a bracket in direction @var{a}. The extent of the bracket is "
 760           "given by @var{iv}. The wings protude by an amount of @var{p}, which "
 761           "may be negative. The thickness is given by @var{t}.")
 762 {
 763   SCM_ASSERT_TYPE(ly_axis_p (a), a, SCM_ARG1, __FUNCTION__, "axis") ;
 764   SCM_ASSERT_TYPE(ly_number_pair_p (iv), iv, SCM_ARG2, __FUNCTION__, "number pair") ;
 765   SCM_ASSERT_TYPE(gh_number_p (t), a, SCM_ARG3, __FUNCTION__, "number") ;
 766   SCM_ASSERT_TYPE(gh_number_p (p), a, SCM_ARG4, __FUNCTION__, "number") ;
 767
 768
 769   return Lookup::bracket ((Axis)gh_scm2int (a), ly_scm2interval (iv),
 770                           gh_scm2double (t),
 771                           gh_scm2double (p)).smobbed_copy ();
 772 }
 773