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[lilypond.git] / mf / feta-flags.mf
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+% Feta (not the Font-En-Tja) music font -- draw flags
+% This file is part of LilyPond, the GNU music typesetter.
+%
+% Copyright (C) 1997--2011 Han-Wen Nienhuys <hanwen@xs4all.nl>
+%
+% LilyPond is free software: you can redistribute it and/or modify
+% it under the terms of the GNU General Public License as published by
+% the Free Software Foundation, either version 3 of the License, or
+% (at your option) any later version.
+%
+% LilyPond is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public License
+% along with LilyPond.  If not, see <http://www.gnu.org/licenses/>.
+
+fet_begingroup ("flags");
+
+save outer_path;
+path outer_path;
+
+%
+% Flags pointing down overlap with the notehead (in x-direction), so
+% the down-flag can be bigger.
+%
+
+upflag_width# = .65 black_notehead_width# + stemthickness# / 2;
+downflag_width# = .833 black_notehead_width# + stemthickness# / 2;
+
+right_upflag_space# = .0 upflag_width#;
+right_downflag_space# = .0 downflag_width#;
+
+%
+% Flags pointing down cannot overlap with the notehead in y-direction,
+% so they have less slant.
+%
+% Because of optical illusion, the utmost flag (bottom for
+% down-pointing, top for up-pointing) should be smaller than the other
+% flags.  Adobe Sonata doesn't do this correctly.  (Instead they have
+% an extension flag, which looks less elegant.)
+%
+
+save hip_thickness, foot_thickness;
+
+hip_thickness# = 1.0 linethickness# + 0.069 staff_space#;
+foot_thickness# = 1.2055 linethickness# + 0.06 staff_space#;
+
+define_pixels (hip_thickness, foot_thickness);
+
+%
+% Inspired by Adobe Sonata and [Wanske].
+% For example, see POSTSCRIPT Language -- program design,
+% page 119, and [Wanske], p 41, 42.
+%
+
+def draw_flag (expr center, flare, dims, hip_depth, foot_wid,
+              hip_thickness, foot_thickness, show_labels) =
+       save c;
+
+       clearxy;
+
+       c = 0.7;
+
+       penpos1 (flare, 90);
+       penpos2 (whatever, 0);
+
+       x2r - x2l = hround (hip_thickness);
+
+       penpos3 (foot_thickness, -20.0);
+
+       z1r = center;
+       z2r = center + (xpart (dims), -ypart (dims) * hip_depth);
+       z3r = center + (xpart (dims) * foot_wid, -ypart (dims));
+
+       x2r := hround x2r;
+       y2r := vround y2r;
+
+       outer_path := z3r{curl c}
+                     .. z2r{up}
+                     .. {up}z1r;
+
+       if show_labels = 1:
+               penlabels (1, 2, 3);
+       fi;
+
+       fill z1l{curl 0}
+            ..tension 1.1.. z2l{down}
+            .. {curl c}simple_serif (z3l, z3r, 80)
+            & outer_path
+            & z1r
+            -- cycle;
+enddef;
+
+%
+% TODO: calculate intersectpoint (see TeX book, p. 137)
+% TODO: calculate incision_depth
+%
+
+def add_flag (expr yoff, flare, hip_wid_multiplier, hip_dep_multiplier,
+             intersectpoint, hip_thickness, foot_thickness) =
+begingroup
+       save prev_center, prev_xextreme, prev_yextreme;
+       save rel_foot, ip, center, incision_depth;
+       save prev_hipwid, prev_footdep, prev_hipdep, wid, dep, hip_dep;
+       save hip_dep_ratio, foot_wid_ratio;
+       pair prev_center, center, foot, prev_xextreme, prev_yextreme;
+       pair ip, rel_foot;
+
+       incision_depth = 1.013;
+       prev_center = point 2 of outer_path;
+       prev_xextreme = point 1 of outer_path;
+       prev_yextreme = point 0 of outer_path;
+       prev_hipwid = xpart (prev_xextreme - prev_center);
+       prev_footdep = -ypart (prev_yextreme - prev_center);
+       prev_hipdep = -ypart (prev_xextreme - prev_center);
+       ip = point intersectpoint of outer_path;
+
+       wid = prev_hipwid * hip_wid_multiplier;
+       hip_dep = prev_hipdep * hip_dep_multiplier;
+
+       center = prev_center + (0, yoff);
+       rel_foot = incision_depth [(wid, hip_dep), ip - center];
+       dep = -ypart (rel_foot);
+       foot_wid_ratio = xpart (rel_foot) / wid;
+       hip_dep_ratio = hip_dep / dep;
+
+       draw_flag (center, flare, (wid, dep),
+                  hip_dep_ratio, foot_wid_ratio,
+                  hip_thickness, foot_thickness, 0);
+endgroup
+enddef;
+
+
+fet_beginchar ("8th Flag (up)", "u3");
+       save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
+       save flagspace, total_depth, flag_count;
+
+       flag_count = 1;
+       total_depth# = 3 staff_space# - blot_diameter# / 2;
+       flare = staff_space;
+       flagspace# = staff_space#;
+       hip_depth_ratio = .72;
+       hip_width# = upflag_width# - hip_thickness# / 2;
+       foot_width_ratio = .8;
+
+       (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+       define_pixels (hip_width, foot_depth);
+       define_whole_vertical_pixels (flagspace);
+
+       set_char_box (0, hip_width# + stemthickness# / 2 + right_upflag_space#,
+                     foot_depth# + foot_thickness# / 2, stemthickness# / 2);
+
+       draw_flag ((0, -(flag_count - 1) * flagspace),
+                  flare, (hip_width, foot_depth),
+                  hip_depth_ratio, foot_width_ratio,
+                  hip_thickness, foot_thickness, 1);
+
+       draw_square_block ((-0.5 stemthickness_rounded, 0),
+                          (0, (-flag_count * staff_space_rounded)));
+fet_endchar;
+
+
+fet_beginchar ("16th Flag (up)", "u4");
+       save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
+       save flagspace, total_depth, flag_count;
+
+       flag_count = 2;
+       total_depth# = 3.5 staff_space# - blot_diameter# / 2;
+       flare = .85 staff_space;
+       flagspace# = .85 staff_space#;
+       hip_depth_ratio = .72;
+       hip_width# = upflag_width# - hip_thickness# / 2;
+       foot_width_ratio = .8;
+
+       (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+       define_pixels (hip_width, foot_depth);
+       define_whole_vertical_pixels (flagspace);
+
+       set_char_box (0, hip_width# + stemthickness# / 2 + right_upflag_space#,
+                     total_depth# + foot_thickness# / 2, stemthickness# / 2);
+
+       draw_flag ((0, -(flag_count - 1) * flagspace),
+                  flare, (hip_width, foot_depth),
+                  hip_depth_ratio, foot_width_ratio,
+                  hip_thickness, foot_thickness, 1);
+
+       add_flag (flagspace, flare, .97, 1.00, 1.25,
+                 hip_thickness, foot_thickness);
+
+       draw_square_block ((-0.5 stemthickness_rounded, 0),
+                          (0, (-flag_count * staff_space_rounded)));
+fet_endchar;
+
+
+fet_beginchar ("32nd Flag (up)", "u5");
+       save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
+       save flagspace, total_depth, flag_count;
+
+       flag_count = 3;
+       total_depth# = 4.25 staff_space# - blot_diameter# / 2;
+       flare = .85 staff_space;
+       flagspace# = .87 staff_space#;
+       hip_depth_ratio = .72;
+       hip_width# = upflag_width# - hip_thickness# / 2;
+       foot_width_ratio = .8;
+
+       (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+       define_pixels (hip_width, foot_depth);
+       define_whole_vertical_pixels (flagspace);
+
+       set_char_box (0, hip_width# + right_upflag_space#,
+                     total_depth# + foot_thickness# / 2, stemthickness# / 2);
+
+       draw_flag ((0, -(flag_count - 1) * flagspace),
+                  flare, (hip_width, foot_depth),
+                  hip_depth_ratio, foot_width_ratio,
+                  hip_thickness, foot_thickness, 1);
+
+       add_flag (flagspace, flare, .97, 1.00, 1.25,
+                 hip_thickness, foot_thickness);
+       add_flag (flagspace, flare, .95, 1.05, 1.25,
+                 hip_thickness, foot_thickness);
+
+       draw_square_block ((-0.5 stemthickness_rounded, 0),
+                          (0, (-flag_count * staff_space_rounded)));
+fet_endchar;
+
+
+fet_beginchar ("64th Flag (up)", "u6");
+       save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
+       save flagspace, total_depth, flag_count;
+
+       flag_count = 4;
+       total_depth# = 5.25 staff_space# - blot_diameter# / 2;
+       flare = .85 staff_space;
+       flagspace# = .9 staff_space#;
+       hip_depth_ratio = .72;
+       hip_width# = upflag_width# - hip_thickness# / 2;
+       foot_width_ratio = .8;
+
+       (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+       define_pixels (hip_width, foot_depth);
+       define_whole_vertical_pixels (flagspace);
+
+       set_char_box (0, hip_width# + right_upflag_space#,
+                     total_depth# + foot_thickness# / 2, stemthickness# / 2);
+
+       draw_flag ((0, -(flag_count - 1) * flagspace),
+                  flare, (hip_width, foot_depth),
+                  hip_depth_ratio, foot_width_ratio,
+                  hip_thickness, foot_thickness, 1);
+
+       add_flag (flagspace, flare, .97, 1.00, 1.3,
+                 hip_thickness, foot_thickness);
+       add_flag (flagspace, flare, 1.00, 1.00, 1.25,
+                 hip_thickness, foot_thickness);
+       add_flag (flagspace, flare, .95, 1.05, 1.25,
+                 hip_thickness, foot_thickness);
+
+       draw_square_block ((-0.5 stemthickness_rounded, 0),
+                          (0, (-flag_count * staff_space_rounded)));
+fet_endchar;
+
+
+fet_beginchar ("128th Flag (up)", "u7");
+       save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
+       save flagspace, total_depth, flag_count;
+
+       flag_count = 5;
+       total_depth# = 6.25 staff_space# - blot_diameter# / 2;
+       flare = .85 staff_space;
+       flagspace# = .93 staff_space#;
+       hip_depth_ratio = .72;
+       hip_width# = upflag_width# - hip_thickness# / 2;
+       foot_width_ratio = .8;
+
+       (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+       define_pixels (hip_width, foot_depth);
+       define_whole_vertical_pixels (flagspace);
+
+       set_char_box (0, hip_width# + right_upflag_space#,
+                     total_depth# + foot_thickness# / 2, stemthickness# / 2);
+
+       draw_flag ((0, -(flag_count - 1) * flagspace),
+                  flare, (hip_width, foot_depth),
+                  hip_depth_ratio, foot_width_ratio,
+                  hip_thickness, foot_thickness, 1);
+
+       add_flag (flagspace, flare, .97, 1.00, 1.3,
+                 hip_thickness, foot_thickness);
+       add_flag (flagspace, flare, 1.00, 1.00, 1.25,
+                 hip_thickness, foot_thickness);
+       add_flag (flagspace, flare, 1.00, 1.00, 1.25,
+                 hip_thickness, foot_thickness);
+       add_flag (flagspace, flare, 0.95, 1.05, 1.25,
+                 hip_thickness, foot_thickness);
+
+       draw_square_block ((-0.5 stemthickness_rounded, 0),
+                          (0, (-flag_count * staff_space_rounded)));
+fet_endchar;
+
+
+fet_beginchar ("8th (down)", "d3");
+       save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
+       save flagspace, total_depth, flag_count;
+
+       flag_count = 1;
+       total_depth# = 2.75 staff_space#;
+       flare = staff_space;
+       flagspace# = .9 staff_space#;
+       hip_depth_ratio = .74;
+       hip_width# = downflag_width# - hip_thickness# / 2;
+       foot_width_ratio = .85;
+
+       (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+       define_pixels (hip_width, foot_depth);
+       define_whole_vertical_pixels (flagspace);
+
+       set_char_box (0, hip_width# + right_downflag_space#,
+                     total_depth# + foot_thickness# / 2, stemthickness# / 2)
+
+       draw_flag ((0, -(flag_count - 1) * flagspace),
+                  flare, (hip_width, foot_depth),
+                  hip_depth_ratio, foot_width_ratio,
+                  hip_thickness, foot_thickness, 0);
+
+       draw_square_block ((-0.5 stemthickness_rounded, 0),
+                          (0, (-flag_count * staff_space_rounded)));
+
+       y_mirror_char;
+fet_endchar;
+
+
+fet_beginchar ("16th (down)", "d4");
+       save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
+       save flagspace, total_depth, flag_count;
+
+       flag_count = 2;
+       total_depth# = 3.0 staff_space# - blot_diameter# / 2;
+       flare = .82 staff_space;
+       flagspace# = .9 staff_space#;
+       hip_depth_ratio = .85;
+       hip_width# = downflag_width# - hip_thickness# / 2;
+       foot_width_ratio = .95;
+
+       (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+       define_pixels (hip_width, foot_depth);
+       define_whole_vertical_pixels (flagspace);
+
+       set_char_box (0, hip_width# + right_downflag_space#,
+                     total_depth# + foot_thickness# / 2, stemthickness# / 2);
+
+       draw_flag ((0, -(flag_count - 1) * flagspace),
+                  flare, (hip_width, foot_depth),
+                  hip_depth_ratio, foot_width_ratio,
+                  hip_thickness, foot_thickness, 0);
+
+       add_flag (flagspace, flare, .95, 1.00, 1.25,
+                 hip_thickness, foot_thickness);
+
+       draw_square_block ((-0.5 stemthickness_rounded, 0),
+                          (0, (-flag_count * staff_space_rounded)));
+
+       y_mirror_char;
+fet_endchar;
+
+
+fet_beginchar ("32nd (down)", "d5");
+       save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
+       save flagspace, total_depth, flag_count;
+
+       flag_count = 3;
+       total_depth# = 3.75 * staff_space# - blot_diameter# / 2;
+       flare = .82 staff_space;
+       flagspace# = .88 staff_space#;
+       hip_depth_ratio = .87;
+       hip_width# = downflag_width# - hip_thickness# / 2;
+       foot_width_ratio = .965;
+
+       (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+       define_pixels (hip_width, foot_depth);
+       define_whole_vertical_pixels (flagspace);
+
+       set_char_box (0, hip_width# + right_downflag_space#,
+                     total_depth# + foot_thickness# / 2, stemthickness# / 2);
+
+       draw_flag ((0, -(flag_count - 1) * flagspace),
+                  flare, (hip_width, foot_depth),
+                  hip_depth_ratio, foot_width_ratio,
+                  hip_thickness, foot_thickness, 0);
+
+       add_flag (flagspace, flare, .98, 1.00, 1.22,
+                 hip_thickness, foot_thickness);
+       add_flag (flagspace, flare, .95, 1.02, 1.22,
+                 hip_thickness, foot_thickness);
+
+       draw_square_block ((-0.5 stemthickness_rounded, 0),
+                          (0, (-flag_count * staff_space_rounded)));
+
+       y_mirror_char;
+fet_endchar;
+
+
+fet_beginchar ("64th (down)", "d6");
+       save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
+       save flagspace, total_depth, flag_count;
+
+       flag_count = 4;
+       total_depth# = 4.5 staff_space# - blot_diameter# / 2;
+       flare = .8 staff_space;
+       flagspace# = .9 staff_space#;
+       hip_depth_ratio = .83;
+       hip_width# = downflag_width# - hip_thickness# / 2;
+       foot_width_ratio = .975;
+
+       (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+       define_pixels (hip_width, foot_depth);
+       define_whole_vertical_pixels (flagspace);
+
+       set_char_box (0, hip_width# + right_downflag_space#,
+                     total_depth# + foot_thickness# / 2, stemthickness# / 2);
+
+       draw_flag ((0, -(flag_count - 1) * flagspace),
+                  flare, (hip_width, foot_depth),
+                  hip_depth_ratio, foot_width_ratio,
+                  hip_thickness, foot_thickness, 0);
+
+       add_flag (flagspace, flare, .98, 1.10, 1.19,
+                 hip_thickness, foot_thickness);
+       add_flag (flagspace, flare, .98, 1.08, 1.19,
+                 hip_thickness, foot_thickness);
+       add_flag (.98 flagspace, flare, .94, 1.04, 1.21,
+                 hip_thickness, foot_thickness);
+
+       draw_square_block ((-0.5 stemthickness_rounded, 0),
+                          (0, (-flag_count * staff_space_rounded)));
+
+       y_mirror_char;
+fet_endchar;
+
+
+fet_beginchar ("128th (down)", "d7");
+       save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
+       save flagspace, total_depth, flag_count;
+
+       flag_count = 5;
+       total_depth# = 5.5 staff_space# - blot_diameter# / 2;
+       flare = .8 staff_space;
+       flagspace# = .92 staff_space#;
+       hip_depth_ratio = .85;
+       hip_width# = downflag_width# - hip_thickness# / 2;
+       foot_width_ratio = .98;
+
+       (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+       define_pixels (hip_width, foot_depth);
+       define_whole_vertical_pixels (flagspace);
+
+       set_char_box (0, hip_width# + right_downflag_space#,
+                     total_depth# + foot_thickness# / 2, stemthickness# / 2);
+
+       draw_flag ((0, -(flag_count - 1) * flagspace),
+                  flare, (hip_width, foot_depth),
+                  hip_depth_ratio, foot_width_ratio,
+                  hip_thickness, foot_thickness, 0);
+
+       add_flag (flagspace, flare, .98, 1.10, 1.185,
+                 hip_thickness, foot_thickness);
+       add_flag (flagspace, flare, .98, 1.08, 1.185,
+                 hip_thickness, foot_thickness);
+       add_flag (.98 flagspace, flare, .97, 1.06, 1.2,
+                 hip_thickness, foot_thickness);
+       add_flag (.98 flagspace, flare, .93, 1.04, 1.22,
+                 hip_thickness, foot_thickness);
+
+       draw_square_block ((-0.5 stemthickness_rounded, 0),
+                          (0, (-flag_count * staff_space_rounded)));
+
+       y_mirror_char;
+fet_endchar;
+
+
+%%%%%%%%
+%
+% Single Stroke for Short Appogiatura
+%
+
+fet_beginchar ("grace dash (up)", "ugrace");
+       save flare, hip_depth_ratio, hip_width, foot_depth;
+
+       hip_depth_ratio = .72;
+       flare# = staff_space#;
+       hip_width# = upflag_width# - hip_thickness# / 2;
+       foot_depth# = 3 staff_space#;
+
+       define_pixels (hip_width, foot_depth);
+
+       set_char_box (hip_width# * hip_depth_ratio,
+                     hip_width# + right_upflag_space#,
+                     foot_depth# * hip_depth_ratio, -flare#)
+
+       pickup pencircle scaled 1.5 stemthickness;
+
+       z1 = (-b, -d);
+       z2 = (w, h);
+
+       penpos1 (1.5 stemthickness, angle (z2 - z1) - 90);
+       penpos2 (1.5 stemthickness, angle (z2 - z1) - 90);
+
+       fill z1l
+            -- z2l
+            .. top z2
+            .. rt z2
+            .. z2r
+            -- z1r
+            .. bot z1
+            .. lft z1
+            .. cycle;
+
+       penlabels (1, 2);
+fet_endchar;
+
+
+fet_beginchar ("grace dash (down)", "dgrace");
+       save flare, hip_depth_ratio, hip_width, foot_depth;
+       save total_depth;
+
+       hip_depth_ratio = .72 ;
+       flare# = .99 staff_space#;
+       hip_width# = downflag_width# - hip_thickness# / 2;
+       total_depth# = 2.85 staff_space#;
+       foot_depth# = total_depth#;
+       foot_width_ratio = .8;
+
+       define_pixels (hip_width, foot_depth);
+
+       set_char_box (hip_width# * hip_depth_ratio,
+                     hip_width# + right_downflag_space#,
+                     foot_depth# * hip_depth_ratio, -flare#)
+
+       pickup pencircle scaled 1.5 stemthickness;
+
+       z1 = (-b, -d);
+       z2 = (w, h);
+
+       penpos1 (1.5 stemthickness, angle (z2 - z1) - 90);
+       penpos2 (1.5 stemthickness, angle (z2 - z1) - 90);
+
+       fill z1l
+            -- z2l
+            .. top z2
+            .. rt z2
+            .. z2r
+            -- z1r
+            .. bot z1
+            .. lft z1
+            .. cycle;
+
+       y_mirror_char;
+fet_endchar;
+
+
+fet_endgroup ("flags");