-% flags
%
+% feta-banier.mf -- draw flags
+%
+% source file of the GNU LilyPond music typesetter
+%
+% (c) 1997--2009 Han-Wen Nienhuys <hanwen@xs4all.nl>
+
+fet_begingroup ("flags");
+save outer_path;
+path outer_path;
-fet_begingroup("floogbars")
+%
+% Flags pointing down overlap with the notehead (in x-direction), so
+% the down-flag can be bigger.
+%
-save flag_angle, flare;
-save hip_thickness, hip_depth, hip_width;
-save foot_thickness, foot_depth, foot_width;
+upflag_width# = .65 black_notehead_width# + stemthickness# / 2;
+downflag_width# = .833 black_notehead_width# + stemthickness# / 2;
-flag_angle = 32;
+right_upflag_space# = .0 upflag_width#;
+right_downflag_space# = .0 downflag_width#;
-hip_thickness# = stafflinethickness#;
-foot_thickness# = blot_diameter#;
-flare# = 1.0 interline#;
+%
+% 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.)
+%
-hip_depth# = 15/7 interline#;
-hip_width# = 8/7 interline# + hip_thickness# /2 + stemthickness#/2;
+save hip_thickness, foot_thickness;
-foot_depth# = flare# + 15/7 interline#;
-foot_width# = .885 hip_width#;
+hip_thickness# = 1.0 linethickness# + 0.069 staff_space#;
+foot_thickness# = 1.2055 linethickness# + 0.06 staff_space#;
+define_pixels (hip_thickness, foot_thickness);
-define_pixels(flare,
- hip_depth, hip_width, hip_thickness,
- foot_depth, foot_width, foot_thickness
-);
+%
+% Inspired by Adobe Sonata and [Wanske].
+% For example, see POSTSCRIPT Language -- program design,
+% page 119, and [Wanske], p 41, 42.
+%
-%treq;
+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;
%
-% Inspired by Adobe Sonata,
-% for example, see POSTSCRIPT Language -- program design,
-% page 119
+% TODO: calculate intersectpoint (see TeX book, p. 137)
+% TODO: calculate incision_depth
%
-def draw_eight_flag =
-
-
- penpos0(stemthickness, 0);
- penpos1(flare, 90);
- penpos2(hip_thickness, 0);
- penpos3(foot_thickness, 0) ;
- penpos4(stemthickness, 0);
-
- z0r = z1r;
- z0 = (0,0);
- z2 = (hip_width, -hip_depth);
- z3 = (foot_width, -foot_depth);
- z4r = z1l;
-
- save bot_dir, bot_path;
- pair bot_dir;
- path bot_path;
- bot_path := z2{down} .. z3;
- bot_dir := direction 1 of bot_path;
-
- fill z1l{dir -flag_angle} .. z2l{down} ..
- z3l{bot_dir} .. z3r{-bot_dir} ..
- {up}z2r .. {up}z1r ..
- z0l{down} -- z4l -- cycle;
-
- ;
+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)", "3u", "eighthflag")
- set_char_box(stemthickness# /2, hip_width# + hip_thickness#/2,
- foot_depth# + foot_thickness#/2, stemthickness#/2)
+fet_beginchar ("8th Flag (up)", "u3");
+ save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
+
+ flare = staff_space;
+ hip_depth_ratio = .72;
+ foot_width_ratio = .8;
+ hip_width# = upflag_width# - hip_thickness# / 2;
+ foot_depth# = 3 staff_space# - blot_diameter# / 2;
+ define_pixels (hip_width, foot_depth);
+
+ set_char_box (0,
+ hip_width# + stemthickness# / 2 + right_upflag_space#,
+ foot_depth# + foot_thickness# / 2, stemthickness# / 2);
+
+ draw_flag ((0,0), flare, (hip_width, foot_depth),
+ hip_depth_ratio, foot_width_ratio,
+ hip_thickness, foot_thickness, 1);
+
+ draw_square_block ((-0.5 stemthickness_rounded, -staff_space_rounded),
+ (0, 0));
+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;
+
+ total_depth# = 3.5 staff_space# - blot_diameter# / 2;
+ flag_count = 2;
+ flare = .85 staff_space;
+ flagspace# = .85 staff_space#;
+ hip_depth_ratio = .72;
+ hip_width# = upflag_width# - hip_thickness# / 2;
+ flagspace# + foot_depth# = total_depth#;
+ foot_width_ratio = .8;
+ 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_eight_flag;
- penlabels(0, 1, 2, 3, 4);
+ draw_flag ((0, -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, -2 staff_space_rounded));
fet_endchar;
-fet_beginchar("8th Flag (down)", "3d", "deighthflag")
- set_char_box(stemthickness# /2, hip_width# + hip_thickness#/2,
- foot_depth# + foot_thickness#/2, stemthickness#/2)
- draw_eight_flag;
+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#;
+ 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, -2 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, -3 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;
+ flare = .85 staff_space;
+ flagspace# = .9 staff_space#;
+ hip_depth_ratio = .72;
+ hip_width# = upflag_width# - hip_thickness# / 2;
+ total_depth# = 5.25 staff_space#;
+ 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, -4 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;
+ flare = .85 staff_space;
+ flagspace# = .93 staff_space#;
+ hip_depth_ratio = .72;
+ hip_width# = upflag_width# - hip_thickness# / 2;
+ total_depth# = 6.25 staff_space#;
+ 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, -5 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;
+ flare = staff_space;
+ flagspace# = .9 staff_space#;
+ hip_depth_ratio = .72;
+ hip_width# = downflag_width# - hip_thickness# / 2;
+ total_depth# = 2.85 staff_space#;
+ foot_width_ratio = .8;
+
+ (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+ define_pixels (hip_width, flagspace, foot_depth);
+
+ 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, -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_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;
+ flare = .8 staff_space;
+ flagspace# = .9 staff_space#;
+ hip_depth_ratio = .85;
+ hip_width# = downflag_width# - hip_thickness# / 2;
+ total_depth# = 3.0 staff_space# - blot_diameter# / 2;
+ foot_width_ratio = .95;
+
+ (flag_count - 1) * flagspace# + foot_depth# = total_depth#;
+
+ set_char_box (0, hip_width# + right_downflag_space#,
+ total_depth# + foot_thickness# / 2, stemthickness# / 2);
+
+ define_pixels (hip_width, foot_depth);
+ define_whole_vertical_pixels (flagspace);
+
+ 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, -2 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;
+ flare = .84 staff_space;
+ flagspace# = .9 staff_space#;
+ hip_depth_ratio = .85;
+ hip_width# = downflag_width# - hip_thickness# / 2;
+ total_depth# = 3.85 staff_space#;
+ 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, .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, -3 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;
+ flare = .8 staff_space;
+ flagspace# = .9 staff_space#;
+ hip_depth_ratio = .85;
+ hip_width# = downflag_width# - hip_thickness# / 2;
+ total_depth# = 4.35 staff_space#;
+ 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, .97, 1.20, 1.175,
+ hip_thickness, foot_thickness);
+ add_flag (flagspace, flare, .97, 1.10, 1.175,
+ hip_thickness, foot_thickness);
+ add_flag (.98 flagspace, flare, .91, 1.05, 1.2,
+ hip_thickness, foot_thickness);
+
+ draw_square_block ((-0.5 stemthickness_rounded, 0),
+ (0, -4 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;
+ flare = .8 staff_space;
+ flagspace# = .9 staff_space#;
+ hip_depth_ratio = .85;
+ hip_width# = downflag_width# - hip_thickness# / 2;
+ total_depth# = 5.25 staff_space#;
+ 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, .97, 1.20, 1.175,
+ hip_thickness, foot_thickness);
+ add_flag (flagspace, flare, .97, 1.10, 1.175,
+ hip_thickness, foot_thickness);
+ add_flag (.98 flagspace, flare, .91, 1.05, 1.2,
+ hip_thickness, foot_thickness);
+ add_flag (.98 flagspace, flare, .91, 1.05, 1.2,
+ hip_thickness, foot_thickness);
+
+ draw_square_block ((-0.5 stemthickness_rounded, 0),
+ (0, -5 staff_space_rounded));
+
y_mirror_char;
fet_endchar;
-fet_endgroup("floogbars")
+fet_endgroup ("flags");