mf/feta-nummer-code.mf

   1 % feta-nummer.mf -- implement bold Orator numerals
   2 %
   3 % part of LilyPond's pretty-but-neat music font
   4 %
   5 % source file of the Feta (not the Font-En-Tja) music font
   6 %
   7 % (c) 1997--2002 Jan Nieuwenhuizen <janneke@gnu.org>
   8
   9 %
  10 % These numbers were taken from a part that that the EJE violas played
  11 % 1997 -- Probably Mendelssohn's ouverture Heimkehr aus der Fremde.
  12 %
  13
  14 %
  15 % TODO all the invocation of flare_path are weird --
  16 % the horizontal tangents should be more at the center of the
  17 % glyph.
  18 %
  19
  20 fet_begingroup("number")
  21
  22 define_pixels(height,thick,thick,thin,hair,flare);
  23 define_pixels(foot_top,foot_width);
  24 define_pixels(kuulleke);
  25
  26
  27
  28 %
  29 % Yet Another Bulb Routine with smooth inside curve.
  30 %
  31 % alpha = start direction.
  32 % beta = which side to turn to.
  33 % flare = diameter of the bulb
  34 % line = diameter of line attachment
  35 % direction = is ink on left or right side (1 or -1)
  36 %
  37
  38 %
  39 % move_away_to = amount left (for 2)
  40 % turn_to  = amount down (for  2 )
  41 %
  42 def number_flare_path(expr pos,alpha,beta,line,flare,
  43
  44                         move_away_to,
  45                         turn_to, taille, taille_ratio,
  46                         direction) =
  47         begingroup;
  48         clearxy;
  49
  50 %       z5 = z2 + 0.43* flare *dir (alpha - 1.5 beta);
  51
  52         z4 = (0.75 - taille)  [z2r, z2l] + whatever* dir (alpha - beta) ;
  53         z4 = (taille_ratio * taille) [z3l, z3r] + whatever* dir(alpha);
  54         penpos1(line,180+beta+alpha);
  55         z1r=pos;
  56
  57         z2r = z1r + move_away_to *dir (alpha) + (line + turn_to) * dir(alpha+beta);
  58         z3r = 0.5 [z2l,z2r] + 0.5 *flare *dir(alpha + beta);
  59
  60         penpos2(flare, alpha );
  61         penpos3(flare, alpha +  beta);
  62         penlabels(1, 2, 3, 4, 5);
  63         pickup pencircle;
  64
  65         save p;
  66         path p;
  67         p := z1r{dir(alpha)}
  68                 .. z2r{dir(180+alpha-beta)}
  69                 .. z3r{dir(alpha+180)}
  70                 .. z2l{dir(alpha-beta)}
  71
  72
  73 %%% Two versions of the curve: one with z4, the other with z5.
  74 %               .. z5{dir(alpha- beta/2 )}
  75                 ..z4{dir(180+alpha+beta)}
  76                 ..z1l{dir(alpha+180)};
  77 %       draw p ;
  78         if direction = 1:
  79                 p
  80         else:
  81                 reverse p
  82         fi
  83         endgroup
  84         enddef;
  85
  86
  87
  88 def calc_kuulleke(expr w,alpha) =
  89         begingroup;
  90         save beta; beta=(alpha-90)/2;
  91         save gamma; gamma=(90+alpha)/2;
  92
  93         penpos1(w/cosd(alpha),alpha);
  94         penpos2(hair,90+beta);
  95         z2=z1l+(1/2hair/tand((alpha+90)/2))*dir(beta);
  96
  97         penpos3(hair,gamma-90);
  98         z3=z1r-(1/2hair/tand((90-alpha)/2))*dir(gamma);
  99         z4=z1+kuulleke*dir(alpha-90);
 100         endgroup;
 101         enddef;
 102
 103 % should make generic macro?
 104 %
 105 def draw_foot(expr xpos) =
 106         begingroup;
 107         clearxy;
 108         penpos1(thick,0);
 109         z1=(xpos,foot_top);
 110         penpos2(foot_width,0);
 111         z2=(x1,0);
 112         penpos3(hair,-90);
 113         z3r=z2r;
 114         penpos4(hair,90);
 115         z4l=z2l;
 116         z5=(x1,kuulleke);
 117         penlabels(1,2,3,4);
 118         fill z1..{right}z1r{down}..{right}z3l..z3r{left}..z5
 119                 ..{left}z4l..z4r{right}..{up}z1l{right}..z1..cycle;
 120         endgroup;
 121         enddef;
 122
 123 def draw_six =
 124         set_char_box(0, .68  height#*widen, 0, height#);
 125         message "w:"&decimal w;
 126         message "h:"&decimal h;
 127
 128         penpos1(thin,90);
 129         z1=(thick,h/2+thin-hair/2);
 130         penpos2(hair,90);
 131
 132         z2=(w/2,y1);
 133
 134         penpos3( 15/16 thick,0);
 135         % yup, should use the path fract [] "everywhere"
 136         x3r=w;
 137         y3r = .48 [y4r, y2r];
 138         penpos4(hair,-90);
 139         z4r=(x2,0);
 140         penpos6(hair,90);
 141         x6r = .56 w;
 142         y6r = h;
 143         penpos7(thick,180);
 144
 145         x7r=0;
 146         y7r = .50 h;
 147
 148         penpos10(thick,180);
 149         z10r=(0,y3);
 150         penlabels(1,2,3,4,5,6,7,8,9,10,11);
 151
 152
 153         save outer_t; outer_t= 0.88;
 154         save t ; t := tense;
 155         fill
 156 %       draw
 157                 z7{right}..z2r{right}
 158                 ..tension outer_t
 159                 ..z3r{down}
 160                 ..tension outer_t
 161                 ..z4r{left}
 162 %               ..tension t
 163                 ..z7r{up}
 164 %               .. flare_path (z6r,0,-90,hair,flare, 1)
 165                 .. number_flare_path (z6r, 0,-90,hair,flare,
 166                         w - x6r -hair/2, .16 h, 0.05, 2.5, 1)
 167
 168 %               ..tension t
 169                 ..z7l{down}
 170                  .. {down}z10l -- cycle;
 171
 172         unfill z2l{right}..tension t..z3l{down}..tension t
 173                 ..z4l{left}..tension t..z10l{up}..tension t..cycle;
 174         enddef;
 175
 176 save dot_diam;
 177 dot_diam# = 7/8flare#;
 178 define_pixels(dot_diam);
 179
 180 code := 32;
 181 fet_beginchar("Space", "space", "space")
 182         set_char_box(0, space#,  0,height#);
 183 fet_endchar;
 184
 185 code := 43;  % , = 44
 186
 187 % urg
 188 fet_beginchar("Numeral comma", ",", "comma")
 189         set_char_box(0, dot_diam#, 3/2dot_diam#, dot_diam#);
 190         pickup pencircle scaled dot_diam;
 191         draw (dot_diam/2,dot_diam/2);
 192         z0=(w/3,0);
 193         alpha=65;
 194         penpos1(thin,alpha+90);
 195         z1l=(w/2,-1.5h+hair);
 196         z2=(w,h/2);
 197         pickup pencircle;
 198         filldraw z1l{dir(alpha)}..{up}z2..{z0-z2}z0{right}..{dir(180+alpha)}z1r..cycle;
 199         labels(0,1,2);
 200         penlabels(1);
 201 fet_endchar;
 202
 203 fet_beginchar("Numeral dash", "-", "dash")
 204         set_char_box(0, height#/3, 0, height#);
 205         pickup pencircle scaled thin;
 206         lft x1 = -b;
 207         rt x2 = w;
 208         y1 = y2 = h/3;
 209         draw z1 .. z2;
 210 fet_endchar;
 211
 212 fet_beginchar("Numeral dot", ".", "dot")
 213         set_char_box(0, dot_diam#, 0, dot_diam#);
 214         pickup pencircle scaled dot_diam;
 215         draw (dot_diam/2,dot_diam/2);
 216 fet_endchar;
 217
 218
 219 % skip slash
 220
 221 code := 47; % 0 = 48
 222
 223 fet_beginchar("Numeral 0", "0", "zero")
 224         set_char_box(0, 11/15height# * widen, 0, height#);
 225         message "w:"&decimal w;
 226         message "h:"&decimal h;
 227         penpos1(thin,90);
 228         z1r=(w/2,h);
 229         penpos2(thick,180);
 230         z2r=(0,h/2);
 231         penpos3(thin,-90);
 232         z3r=(w/2,0);
 233         penpos4(thick,0);
 234         z4r=(w,h/2);
 235         fill z1r..z2r..z3r..z4r..cycle;
 236         save t; t=1/tense;
 237         penlabels(1,2,3,4);
 238         unfill z1l..tension t..z2l..tension t..z3l
 239                 ..tension t..z4l..tension t..cycle;
 240 fet_endchar;
 241
 242 fet_beginchar("Numeral 1", "1", "one")
 243 %       set_char_box(0, 19/30height#*widen, 0, height#);
 244         set_char_box(0, 1/2foot_width#+3/2thick#+1/2hair#, 0, height#);
 245         message "w:"&decimal w;
 246         message "h:"&decimal h;
 247
 248         save alpha; alpha=0;
 249         calc_kuulleke(thick,alpha);
 250         z1=(3/2thick,height);
 251
 252         penpos5(thick,0);
 253         z5=(x1,foot_top);
 254
 255         z6=(0,h/2);
 256         save beta; beta=angle(z1l-z6);
 257         penpos7(thin,beta-90);
 258         z7l=z6;
 259         penpos8(thin/cosd(beta),-90);
 260         z8l=z1l;
 261         penpos9(thin,beta-90);
 262         z9r=z8r+(thin/cosd(beta))*(0,-1);
 263         penlabels(1,2,3,4,5,6,7,8,9);
 264         save gamma; gamma=angle(length(z1r-z1),+2kuulleke);
 265         fill z2r{dir(alpha-gamma)}..z4..{dir(alpha+gamma)}z3l..z3r{down}
 266                 ..{down}z5r{left}..z5..{left}z5l{up}..{up}z2l..cycle;
 267         fill z7l{dir(beta)}..{dir(beta)}z1l..z2r..z9r{up}
 268                 ..z9l{dir(180+beta)}..{dir(180+beta)}z7r..cycle;
 269         penlabels(7,8,9);
 270
 271         draw_foot(x1);
 272 fet_endchar;
 273
 274 fet_beginchar("Numeral 2", "2", "two")
 275         set_char_box(0, 22/30 height#*widen, 0, height#);
 276         message "w:"&decimal w;
 277         message "h:"&decimal h;
 278         clearxy;
 279         save alpha; alpha=-45*widen;
 280         save beta; beta=85;
 281         save gamma; gamma=beta-10;
 282         save flare_start_distance;
 283
 284         flare_start = 0.25 ;
 285         save theta; theta=20/widen;
 286         penpos1(hair,90+beta);
 287         z1=(0,0)+(1/2sqrt(2)*hair)*dir(45);
 288         penpos3(hair,90+gamma);
 289         z3=(w,thick)+(1/2sqrt(2)*hair)*dir(-135);
 290         penpos2(thick, 90+alpha -15);
 291         x2-x1=x3-x2;
 292         y2=10/16 thick/widen;
 293         fill z1r{dir(beta)}.. tension 0.9 .. {dir(alpha + 10)}z2r..{dir(gamma)}z3r
 294                 ..z3l{dir(180+gamma)}..{dir(180+alpha - 5)}z2l
 295                 ..{dir(180+beta)}z1l..cycle;
 296
 297         penpos4(thick,0);
 298         z4r=(w-thin/2, .71 h);
 299         penpos5(hair,90);
 300         y5r = h;
 301         x5r = 9/20 w ;
 302
 303         penlabels(1,2,3,4);
 304         penlabels(5,6);
 305         save t; t=tense;
 306
 307         save p;
 308         path p ;
 309         p := z1l{dir(beta)}..tension t..z4r{up}
 310                 .. number_flare_path(z5r,180,90,hair, 1.05 flare,
 311                                 x5r  - 1/2 hair,
 312                                 .21 h, 0.006, 0.4, 1)
 313                 .. z4l{down}..tension t
 314                 ..{dir(180+beta)}z1r..cycle;
 315
 316         pickup pencircle scaled 1;
 317 %       draw p;
 318         fill p;
 319
 320 fet_endchar;
 321
 322 fet_beginchar("Numeral 3", "3", "three")
 323         set_char_box(0, 2/3height#*widen, 0, height#);
 324         message "w:"&decimal w;
 325         message "h:"&decimal h;
 326         penpos1(hair,-90);
 327
 328 %       flare_start = 0.25 ;
 329         x1l = 35/80 w;
 330         y1l = h;
 331
 332 %       z1l=(17/16thick,h);
 333         penpos2(7/8thick,180);
 334         z2l=(w-thick/8,3/4h+thick/16);
 335         penpos3(thin,90);
 336         z3=(w/2,h/2+1/8thick);
 337         penpos4(thin,90);
 338         z4=(5/8thick+1/2thin,y3);
 339         penpos5(thick,0);
 340         x5r=w;
 341         y5r = 17/64 h + thick/16;
 342
 343         penpos6(hair,-90);
 344
 345         x6r= 37/80 w;
 346         y6r = 0;
 347         penpos7(3/2thin,90);
 348         z7=(x5,y3);
 349         penlabels(1,2,3,4,5,6,7);
 350         save alpha; alpha=25;
 351         save t; t=tense;
 352         save outer_t; outer_t := 0.93;
 353         pickup pencircle scaled 1;
 354
 355 %       draw
 356         fill
 357                 number_flare_path (z1l, 180, 90, hair,  7/8 flare, x1l - .5 hair,
 358                         .16 h, 0.06, 1.5,  -1)
 359                 ..tension outer_t
 360                 .. z2l{down}
 361                 .. tension outer_t
 362                 ..z7r{dir(180+alpha)}
 363                 ..z7l{dir(-alpha)}
 364                 .. tension outer_t
 365                 ..z5r{down}
 366                 .. tension outer_t
 367                 .. number_flare_path (z6r, 180, -90, hair,  flare, x6l,
 368                         .18 h, 0.06, 1.5,  1)
 369
 370                 .. z5l{up}
 371                 ..tension t
 372                 ..z3l{left}
 373                 ..z4l{left}
 374                 ..z4r{right}
 375                 ..z3r{right}
 376                 ..tension t
 377                 ..z2r{up}
 378                 ..tension t
 379                 .. cycle
 380 ;
 381 fet_endchar;
 382
 383
 384
 385 fet_beginchar("Numeral 4", "4", "four")
 386         set_char_box(0, 4/5height#*widen, 0, height#);
 387         message "w:"&decimal w;
 388         message "h:"&decimal h;
 389
 390         save alpha; alpha=0;
 391         calc_kuulleke(3/2thick,alpha);
 392         z1r=(w-3/4thick,height);
 393
 394         z5=(thin,1/4height+thin);
 395         save beta; beta=angle(z3r-z5);
 396         penpos6(thin,-90);
 397         z6l=z5;
 398         penpos7(thin,-90);
 399         y7=y6; x7=w-1/2thin;
 400         penpos8(thin,-alpha);
 401         z8r=z5;
 402         penlabels(1,2,3,4,5,6,7);
 403         save gamma; gamma=angle(length(z1r-z1),+2kuulleke);
 404         fill z2r{dir(alpha-gamma)}..z4..{dir(alpha+gamma)}z3l
 405                 ..z3r{dir(180+beta)}..{dir(180+beta)}z8r{right}
 406                 ..{right}z7l..z7r{left}..{left}z6r..z8l{dir(beta)}
 407                 ..{up}z2l..cycle;
 408
 409         clearxy;
 410
 411         save alpha; alpha=beta;
 412         calc_kuulleke(thick,alpha);
 413         z1r=(w-3/4thick,height-(3/2thin)/cosd(alpha));
 414
 415         penpos5(thick,0);
 416         z5=(x1,foot_top);
 417
 418         save gamma; gamma=angle(length(z1r-z1),+2kuulleke);
 419         fill z2r{dir(alpha-gamma)}..z4..{dir(alpha+gamma)}z3l
 420                 ..z3r{down}..{down}z5r{left}..z5..{left}z5l{up}
 421                 ..{up}z2l..cycle;
 422         penlabels(1,2,3,4,5);
 423
 424         draw_foot(x5);
 425 fet_endchar;
 426
 427 fet_beginchar("Numeral 5", "5", "five")
 428         set_char_box(0, 7/10height#*widen, 0, height#);
 429         message "w:"&decimal w;
 430         message "h:"&decimal h;
 431         calc_kuulleke(w-thin,0);
 432         z1=(w/2+1/8thick,h);
 433         save alpha; alpha=0;
 434         penpos5(thin,0);
 435         z5l=(x1l,h-15/16thick);
 436         penpos6(hair,90-45);
 437         z6=z5r+1/2hair*dir(-45);
 438         penpos7(thin,0);
 439         z7l=(x1l,h/2+thin-hair);
 440         penlabels(1,2,3,4,5,6,7);
 441         save gamma; gamma=angle(length(z1r-z1),+2kuulleke);
 442         fill z2r{dir(alpha-gamma)}..z4..{dir(alpha+gamma)}z3l
 443                 ..z3r{dir(-135)}..{left}z6r..z6l{down}..z7r{down}
 444                 ..z7l{up}..{up}z2l..cycle;
 445         penpos8(thin,90);
 446         z8l=(x7r,y7r-1/16thick);
 447         penpos9(thin,90);
 448         z9=(x11+3/16thick,10/16[y5,y7]);
 449         penpos10(thick,0);
 450         z10r=(w,1/2[y9r,y11r]);
 451         penpos11(hair,-90);
 452         z11r=(9/8thick,0);
 453         penlabels(8,9,10,11);
 454         save beta; beta=45;
 455         save t; t=tense;
 456         fill z8r{dir(beta)}..z9r{right}..tension t..z10r{down}
 457                 .. super_curvelet(z10r, z11r, 0.76, 1)
 458                 .. flare_path(z11r,180,-90,hair,flare, 1)
 459                 ..z11l{right}..tension t..z10l{up}..tension t
 460                 ..z9l{left}..z8l{dir(180+beta+10)}..cycle;
 461
 462 fet_endchar;
 463
 464 fet_beginchar("Numeral 6", "6", "six")
 465         draw_six;
 466 fet_endchar;
 467
 468 fet_beginchar("Numeral 7", "7", "seven")
 469         set_char_box(0, 11/15height#*widen, 0, height#);
 470         message "w:"&decimal w;
 471         message "h:"&decimal h;
 472
 473         save alpha; alpha=-180;
 474 if true:
 475         penpos1(3/2thick,180+alpha);
 476         penpos2(hair,180+alpha-45);
 477         z2=z1l+(1/4sqrt(2)*hair)*dir(alpha-135);
 478         penpos3(hair,180+alpha+45);
 479         z3=z1r+(1/4sqrt(2)*hair)*dir(alpha-45);
 480         z4=z1+kuulleke*dir(alpha-90);
 481 else:
 482         % shit, does not work
 483         calc_kuulleke(3/2thick,-alpha);
 484 fi
 485         z1l=(thin,0);
 486
 487         save beta; beta=55;
 488         penpos5(thin,90+beta);
 489         z5=(w,h)+(1/2sqrt(2)*thin)*dir(-135);
 490
 491         save gamma; gamma=angle(length(z1r-z1),+2kuulleke);
 492         save delta; delta=12;
 493         pickup pencircle;
 494         fill z3l{dir(alpha-gamma)}..z4..{dir(alpha+gamma)}z2r..
 495                 z2l{dir(beta+delta)}..{dir(beta)}z5r
 496                 ..z5l{dir(180+beta)}..{dir(delta-90)}z3r..cycle;
 497         penlabels(1,2,3,4,5);
 498
 499         clearxy;
 500         save alpha; alpha=-45*widen;
 501         penpos1(1/2thick,90);
 502         z1=(3/2thin,h-(thick+thin)/2);
 503         penpos3(thin,90+beta);
 504         z3=(w,h)+(1/2sqrt(2)*thin)*dir(-135);
 505         penpos2(thick,90+alpha);
 506         x2=1/2[x1,x3]-1/4thick; y2=h-15/16thick+thin*widen;
 507
 508         penpos4(thin,0);
 509         z4l=(0,h-thin/2);
 510         penpos5(thin,0);
 511         z5l=(0,h/2+thin/2);
 512
 513         penpos6(9/8thick,90);
 514         z6r=(thin,y1r+2/16thick);
 515
 516         fill z1r{dir(beta)}..{dir(alpha)}z2r..{dir(beta)}z3r
 517                 ..z3l{dir(180+beta)}..{dir(180+alpha)}z2l
 518                 ..{dir(180+beta)}z1l..z6l{down}..{down}z5r
 519                 ..z5l{up}..{up}z4l..z4r{down}..{down}z6r..{right}cycle;
 520         penlabels(1,2,3,4,5,6);
 521 fet_endchar;
 522
 523 fet_beginchar("Numeral 8", "8", "eight")
 524         set_char_box(0, 11/15height#*widen, 0, height#);
 525         message "w:"&decimal w;
 526         message "h:"&decimal h;
 527         save alpha; alpha=60;
 528         save beta; beta=alpha-15;
 529         z1=(w/2,h/2+thick/8);
 530         penpos2(hair,90+180+beta);
 531         z2=(w/3,h/2+thin);
 532         penpos3(3/2thin,0);
 533         z3l=(0,h/4+thin/2);
 534         penpos4(hair,90);
 535         z4l=(x1,0);
 536         penpos5(thick,90+90+alpha);
 537         z5=z1+w/4*dir(alpha-90);
 538         penpos6(thick,90+90+alpha);
 539         z6=z1+(w/4-thin/2)*dir(90+alpha);
 540         penpos7(hair,90);
 541         z7r=(x1,h);
 542         penpos8(3/2thin,0);
 543         z8r=(w-thin/2,3/4h+thin/2);
 544         penpos9(hair,90+180+beta);
 545         z9=(2/3w,h/2);
 546         penlabels(1,2,3,4,5,6,7,8,9);
 547         save t; t=tense;
 548         fill z2r{dir(180+beta)}..z3r{down}..z4r{right}
 549                 ..z5r{dir(90+alpha)}..z6r{dir(90+alpha)}
 550                 ..tension t..z7r{right}..z8r{down}..z9r{dir(180+beta)}
 551                 ..z9l{dir(beta)}..z8l{up}..z7l{left}..z6l{dir(alpha-90)}
 552                 ..z5l{dir(alpha-90)}..tension t..z4l{left}..z3l{up}
 553                 ..z2l{dir(beta)}..cycle;
 554 fet_endchar;
 555
 556 fet_beginchar("Numeral 9", "9", "nine")
 557         draw_six;
 558 %       xy_mirror_char;
 559         currentpicture := currentpicture scaled -1;
 560         currentpicture := currentpicture shifted (w,h);
 561 fet_endchar;
 562
 563 fet_endgroup("number")
 564