% TODO: should depth/height include appendages/stems?
overdone_heads = 0;
-noteheight# := staff_space# + (1 + overdone_heads)*stafflinethickness#;
-define_pixels(noteheight);
+noteheight# := staff_space# + (1 + overdone_heads) * stafflinethickness#;
+define_pixels (noteheight);
%%%%%%%%
%
%
-def draw_neomensural_brevis(expr brevwid) =
+def draw_neomensural_brevis (expr brevwid) =
save beamheight, head_width;
save holeheight, stem_width;
save serif_size, serif_protrude;
holeheight = 3 stafflinethickness;
stem_width = 1.4 stafflinethickness;
+ define_pixels (head_width);
- define_pixels(head_width);
- set_char_box(0, head_width#, noteheight#/2, noteheight#/2);
+ set_char_box (0, head_width#,
+ noteheight# / 2, noteheight# / 2);
2 beamheight + holeheight = noteheight;
- serif_size = (holeheight - stafflinethickness)/2;
+ serif_size = (holeheight - stafflinethickness) / 2;
serif_protrude = 1.5 serif_size;
- penpos1(stem_width, 0);
- penpos2(stem_width, 0);
- penpos3(beamheight, 90);
- penpos4(beamheight, 90);
- penpos5(stem_width, 180);
z1l = (0, 0);
- z2l = (0, -stafflinethickness/2);
- z3r = z2r + serif_size *(1,-1);
+ z2l = (0, -stafflinethickness / 2);
+ z3r = z2r + serif_size * (1, -1);
y4r = y3r;
- x4r = head_width/2;
+ x4r = head_width / 2;
z5l = z3l + (-serif_size, -serif_protrude);
- penlabels(1,2,3,4, 5);
- fill z1r -- z1l -- z5r{down} .. z5l{up} .. z3l{right}
- -- z4l -- z4r -- z3r{left} .. z2r{up} -- cycle;
-
- addto currentpicture also currentpicture yscaled -1;
- addto currentpicture also currentpicture
- shifted (-x4r,0) xscaled -1 shifted (x4l,0);
-
+ penpos1 (stem_width, 0);
+ penpos2 (stem_width, 0);
+ penpos3 (beamheight, 90);
+ penpos4 (beamheight, 90);
+ penpos5 (stem_width, 180);
+
+ save pat_in, pat_out;
+ path pat_in, pat_out;
+
+ pat_out := z4l
+ -- z3l{left}
+ .. z5l{down}
+ .. z5r{up}
+ -- z1l;
+ pat_out := pat_out
+ -- reverse pat_out yscaled -1;
+ pat_out := pat_out
+ -- reverse pat_out shifted (-x4r, 0)
+ xscaled -1
+ shifted (x4l, 0)
+ -- cycle;
+ fill pat_out;
+
+ pat_in := z4r
+ -- z3r{left}
+ .. z2r{up}
+ -- z1r;
+ pat_in := pat_in
+ -- reverse pat_in yscaled -1;
+ pat_in := pat_in
+ -- reverse pat_in shifted (-x4r, 0)
+ xscaled -1
+ shifted (x4l, 0)
+ -- cycle;
+ unfill pat_in;
+
+ penlabels (1, 2, 3, 4, 5);
enddef;
%%% This head does not seem to be used anywhere. Junk me? -- jr
def draw_neomensural_left_stemmed_head (expr wid) =
- draw_neomensural_brevis(wid);
+ draw_neomensural_brevis (wid);
- x6 = x7 = stem_width/2;
+ x6 = x7 = stem_width / 2;
y6 = y5;
y7 = y5 - 2.25 staff_space;
- pickup pencircle scaled stem_width;
- draw z6 .. z7;
+
+ z17 = (x7, y7 - stem_width / 2);
+
+ penpos6 (stem_width, 0);
+ penpos7 (stem_width, 0);
+
+ fill z7l
+ -- z6l
+ -- z6r
+ -- z7r
+ .. z17
+ .. cycle;
+
+ penlabels (6, 7);
+ labels (17);
enddef;
+
%%% This head does not seem to be used anywhere. Junk me? -- jr
-fet_beginchar("Left stemmed notehead", "slneomensural");
+fet_beginchar ("Left stemmed notehead", "slneomensural");
draw_neomensural_left_stemmed_head (2 staff_space#);
fet_endchar;
+
+%
+% Find point on `curve' which gives the tangent between point `p'
+% and `curve'. To guide the search, two auxiliary points must be
+% specified, `p_in' and `p_out'. The line between `p' and `p_in'
+% must intersect `curve', while the line between `p' and `p_out'
+% must not.
+%
+def find_tangent (expr p, curve, p_in, p_out) =
+ begingroup;
+ save mid, t, t_good, in, out;
+ pair mid, in, out;
+
+ in := p_in;
+ out := p_out;
+
+ forever:
+ mid := 0.5 [in, out];
+ exitif abs (out - mid) <= eps;
+ t := xpart (curve intersectiontimes (p -- mid));
+ if (t > 0):
+ in := mid;
+ t_good := t;
+ else:
+ out := mid;
+ fi;
+ endfor;
+
+ point t_good of curve
+ endgroup
+enddef;
+
+
%
% Some sources (eg. Musix/OpusTeX) think that the appendage should be on
-% the left, some say right. Right wins democratically.
+% the left, some say right. Right wins democratically.
%
def draw_neomensural_longa (expr wid) =
- draw_neomensural_brevis(wid);
+ draw_neomensural_brevis (wid);
+
save theta;
x7r = head_width;
y7 = y5;
-% z7 = z5;
- z6 - z7 = (stem_width/2, -staff_space);
- theta = angle(z6-z7)+ 90;
- penpos7(stem_width, theta);
- penpos6(1.2 stem_width, theta);
+ z6 - z7 = (stem_width / 2, -staff_space);
+ theta = angle (z6 - z7) + 90;
+
+ penpos7 (stem_width, 0);
+ penpos6 (1.2 stem_width, theta);
- fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
- penlabels(6,7);
+ z7' = find_tangent (z6l, pat_out,
+ (x7l + 0.5 stem_width, y7l),
+ (x7l - 0.5 stem_width, y7l));
+
+ fill z7r
+ .. z6r{z6 - z7}
+ .. {z7 - z6}z6l
+ -- z7'
+ -- cycle;
+
+ penlabels (6, 7);
+ labels (7');
enddef;
+
%
% En wij presenteren U: de opvolgster van Emily
%
% (ze is wel breed)
%
-fet_beginchar("Neo-mensural maxima notehead", "s-3neomensural");
- draw_neomensural_longa (2.6 staff_space#)
+fet_beginchar ("Neo-mensural maxima notehead", "s-3neomensural");
+ draw_neomensural_longa (2.6 staff_space#);
fet_endchar;
-fet_beginchar("Neo-mensural longa notehead", "s-2neomensural");
- draw_neomensural_longa (2 staff_space#)
+
+fet_beginchar ("Neo-mensural longa notehead", "s-2neomensural");
+ draw_neomensural_longa (2 staff_space#);
fet_endchar;
-fet_beginchar("Neo-mensural brevis notehead", "s-1neomensural")
- draw_neomensural_brevis(2 staff_space#);
+
+fet_beginchar ("Neo-mensural brevis notehead", "s-1neomensural");
+ draw_neomensural_brevis (2 staff_space#);
fet_endchar;
+
def draw_neomensural_black_head (expr wid, height) =
save head_width;
+ save ne, nw, ne_dist, nw_dist;
+ pair ne, nw, ne_dist, nw_dist;
+
head_width# = wid;
- set_char_box (0, head_width#, height/2, height/2);
+
+ set_char_box (0, head_width#,
+ height / 2, height / 2);
charwx := head_width# / 2;
charwy := height / 2;
- y3 = y1 =0;
- x2 = x4 = (x1 + x3) /2;
- define_pixels (head_width);
+ y3 = y1 = 0;
+ x2 = x4 = (x1 + x3) / 2;
+
pickup pencircle scaled blot_diameter;
+
top y2 = h;
bot y4 = -d;
lft x1 = 0;
rt x3 = w;
- filldraw z1 -- z2 -- z3 -- z4 -- cycle;
+ ne := unitvector (z2 - z1);
+ nw_dist := (ne rotated 90) * 0.5 blot_diameter;
+ nw := unitvector (z2 - z3);
+ ne_dist := (nw rotated -90) * 0.5 blot_diameter;
+
+ fill lft z1{up}
+ .. (z1 + nw_dist){ne}
+ -- (z2 + nw_dist){ne}
+ .. top z2{right}
+ .. (z2 + ne_dist){-nw}
+ -- (z3 + ne_dist){-nw}
+ .. rt z3{down}
+ .. (z3 - nw_dist){-ne}
+ -- (z4 - nw_dist){-ne}
+ .. bot z4{left}
+ .. (z4 - ne_dist){nw}
+ -- (z1 - ne_dist){nw}
+ .. cycle;
+
+ labels (1, 2, 3, 4);
enddef;
+
def draw_neomensural_open_head (expr wid, height)=
draw_neomensural_black_head (wid, height);
+
save diamNW, diamSW;
+
diamNW = length (z2 - z1) + blot_diameter;
diamSW = length (z4 - z1) + blot_diameter;
save hole_widthNW, hole_widthSW;
+
hole_widthNW = 0.34 diamNW ;
hole_widthSW + 2.6 linethickness = diamSW;
- (z7 + z5)/2 = (w/2, 0);
- (z8 + z6)/2 = (w/2, 0);
- (z6 - z5) = hole_widthNW * unitvector (z2 - z1);
- (z7 - z6) = hole_widthSW * unitvector (z4 - z1);
+ (z7 + z5) / 2 = (w / 2, 0);
+ (z8 + z6) / 2 = (w / 2, 0);
+ z6 - z5 = hole_widthNW * unitvector (z2 - z1);
+ z7 - z6 = hole_widthSW * unitvector (z4 - z1);
- labels (1,2,3,4,5,6,7,8);
+ unfill z5
+ -- z6
+ -- z7
+ -- z8
+ -- cycle;
- unfill z5 -- z6 -- z7 -- z8 --cycle;
+ labels (5, 6, 7, 8);
enddef;
+
%
% WL says the thin lines should be thinner.
%
-fet_beginchar("Harmonic notehead (Neo-mensural open)",
- "s0harmonic")
+fet_beginchar ("Harmonic notehead (Neo-mensural open)", "s0harmonic");
draw_neomensural_open_head (1.3 staff_space#, 1.3 noteheight#);
charwx := head_width#;
charwy := 0;
fet_endchar;
-fet_beginchar("Harmonic notehead (Neo-mensural black)",
- "s2harmonic")
+
+fet_beginchar ("Harmonic notehead (Neo-mensural black)", "s2harmonic");
draw_neomensural_black_head (1.3 staff_space#, 1.3 noteheight#);
charwx := head_width#;
charwy := 0;
fet_endchar;
-fet_beginchar("Neo-mensural semibrevis head","s0neomensural")
- draw_neomensural_open_head (staff_space#, noteheight#);
+
+fet_beginchar ("Neo-mensural semibrevis head", "s0neomensural");
+ draw_neomensural_open_head (staff_space#, noteheight#);
fet_endchar;
-fet_beginchar("Neo-mensural minima head","s1neomensural")
- draw_neomensural_open_head (staff_space#, noteheight#);
+
+fet_beginchar ("Neo-mensural minima head", "s1neomensural");
+ draw_neomensural_open_head (staff_space#, noteheight#);
fet_endchar;
-fet_beginchar("Neo-mensural semiminima head","s2neomensural")
- draw_neomensural_black_head (staff_space#, noteheight#);
+
+fet_beginchar ("Neo-mensural semiminima head", "s2neomensural");
+ draw_neomensural_black_head (staff_space#, noteheight#);
fet_endchar;
+
def draw_mensural_brevis (expr wid) =
% TODO. For the moment, fall back to draw_neomensural_brevis.
- draw_neomensural_brevis(wid);
+ draw_neomensural_brevis (wid);
enddef;
+
%%% This head does not seem to be used anywhere. Junk me? -- jr
def draw_mensural_left_stemmed_head (expr wid) =
- draw_mensural_brevis(wid);
- x6 = x7 = stem_width/2;
+ draw_mensural_brevis (wid);
+
+ x6 = x7 = stem_width / 2;
y6 = y5;
- y7 = y5 - 2.25staff_space;
- pickup pencircle scaled stem_width;
- draw z6 .. z7;
+ y7 = y5 - 2.25 staff_space;
+
+ z17 = (x7, y7 - stem_width / 2);
+
+ penpos6 (stem_width, 0);
+ penpos7 (stem_width, 0);
+
+ fill z7l
+ -- z6l
+ -- z6r
+ -- z7r
+ .. z17
+ .. cycle;
+
+ penlabels (6, 7);
+ labels (17);
enddef;
+
def draw_mensural_longa (expr wid) =
- draw_mensural_brevis(wid);
- x6 = x7 = head_width - stem_width/2;
+ draw_mensural_brevis (wid);
+
+ x6 = x7 = head_width - stem_width / 2;
y6 = y5;
- y7 = y5 - 2.25staff_space;
- pickup pencircle scaled stem_width;
- draw z6 .. z7;
+ y7 = y5 - 2.25 staff_space;
+
+ z17 = (x7, y7 - stem_width / 2);
+
+ penpos6 (stem_width, 0);
+ penpos7 (stem_width, 0);
+
+ fill z7l
+ -- z6l
+ -- z6r
+ -- z7r
+ .. z17
+ .. cycle;
+
+ penlabels (6, 7);
+ labels (17);
enddef;
+
%%% This head does not seem to be used anywhere. Junk me? -- jr
-fet_beginchar("Mensural left stemmed notehead", "slmensural");
- draw_mensural_left_stemmed_head (staff_space#)
+fet_beginchar ("Mensural left stemmed notehead", "slmensural");
+ draw_mensural_left_stemmed_head (staff_space#);
fet_endchar;
-fet_beginchar("Mensural maxima notehead", "s-3mensural");
- draw_mensural_longa (2.0 staff_space#)
+
+fet_beginchar ("Mensural maxima notehead", "s-3mensural");
+ draw_mensural_longa (2.0 staff_space#);
fet_endchar;
-fet_beginchar("Mensural longa notehead", "s-2mensural");
- draw_mensural_longa (staff_space#)
+
+fet_beginchar ("Mensural longa notehead", "s-2mensural");
+ draw_mensural_longa (staff_space#);
fet_endchar;
-fet_beginchar("Mensural brevis notehead", "s-1mensural")
- draw_mensural_brevis(staff_space#);
+
+fet_beginchar ("Mensural brevis notehead", "s-1mensural");
+ draw_mensural_brevis (staff_space#);
fet_endchar;
+
+%
+% Shift `curve' along the line given by the auxiliary points `p_in'
+% and `p_out' until `line' is a tangent, and return the shift.
+% If `curve' is shifted to position `p_in', it must intersect
+% `line', while shifted to `p_out' it must not.
+%
+def find_tangent_shift (expr line, curve, p_in, p_out) =
+ begingroup;
+ save mid, t, t_good, in, out;
+ pair mid, in, out;
+
+ in := p_in;
+ out := p_out;
+
+ forever:
+ mid := 0.5 [in, out];
+ exitif abs (out - mid) <= eps;
+ t := xpart ((curve shifted mid) intersectiontimes line);
+ if (t > 0):
+ in := mid;
+ t_good := t;
+ else:
+ out := mid;
+ fi;
+ endfor;
+
+ mid
+ endgroup
+enddef;
+
+
def draw_diamond_head (expr head_h, pen_w, pen_h, angle, open) =
- save head_width, head_height;
- head_height# = head_h;
- head_width# / head_height# = tand(angle);
-
- set_char_box (0, head_width#,
- head_height#/2, head_height#/2);
-
- charwx := head_width# / 2;
- charwy := head_height# / 2 - linethickness#;
-
- define_pixels(head_width, head_height);
- pickup pencircle
- xscaled (max(blot_diameter, pen_w * head_width))
- yscaled (max(blot_diameter, pen_h * head_width))
- rotated -angle;
-
- %% FIXME: replace "xpart (top z2)" (and, analogously,
- %% "ypart (rt z3)") with an expression that really delivers the
- %% x coordinate of the uppermost pixel that is drawn with respect
- %% to the pencircle (this requires some elliptical computations).
- %% MF obviously interprets "xpart (top z2)" as "top (xpart z2)",
- %% i.e. "top x2", which is not what we want.
-
- xpart (top z2) = ypart (rt z3) = 0;
- top y2 = head_height/2;
- rt x3 = head_width/2;
- z2 = - z4;
- z3 = - z1;
-
- if open:
- draw z1 -- z2 -- z3 -- z4 -- cycle;
- else:
- filldraw z1 -- z2 -- z3 -- z4 -- cycle;
- fi;
-
- currentpicture := currentpicture shifted (head_width/2, 0);
+ save head_width, head_height;
+ save ellipse, ellipse_r;
+ path ellipse, ellipse_r;
+
+ head_height# = head_h;
+ head_width# / head_height# = tand (angle);
+ set_char_box (0, head_width#,
+ head_height# / 2, head_height# / 2);
+
+ charwx := head_width# / 2;
+ charwy := head_height# / 2 - linethickness#;
+
+ define_pixels (head_width, head_height);
+
+ ellipse := reverse fullcircle
+ xscaled (max (blot_diameter, pen_w * head_width))
+ yscaled (max (blot_diameter, pen_h * head_width))
+ rotated -angle;
+ ellipse_r := ellipse rotated 180;
+
+ z1 = find_tangent_shift (((0, h) -- (0, -h)), ellipse,
+ (0, 0), (w / 2, 0));
+ z2 = find_tangent_shift (((0, h) -- (w, h)), ellipse,
+ (w / 2, h), (w / 2, 0));
+ z3 = find_tangent_shift (((w, h) -- (w, -h)), ellipse,
+ (w, 0), (w / 2, 0));
+ z4 = find_tangent_shift (((0, -h) -- (w, -h)), ellipse,
+ (w / 2, -h), (w / 2, 0));
+
+ fill (subpath (directiontime (z1 - z4) of ellipse,
+ directiontime (z2 - z1) of ellipse)
+ of ellipse) shifted z1
+ -- (subpath (directiontime (z2 - z1) of ellipse,
+ directiontime (z3 - z2) of ellipse)
+ of ellipse) shifted z2
+ -- (subpath (directiontime (z3 - z2) of ellipse_r,
+ directiontime (z4 - z3) of ellipse_r)
+ of ellipse_r) shifted z3
+ -- (subpath (directiontime (z4 - z3) of ellipse_r,
+ directiontime (z1 - z4) of ellipse_r)
+ of ellipse_r) shifted z4
+ -- cycle;
+
+ if open:
+ save l;
+ path l[];
+
+ l12 := (directionpoint (z1 - z2) of ellipse) shifted z1
+ -- (directionpoint (z1 - z2) of ellipse) shifted z2;
+ l23 := (directionpoint (z2 - z3) of ellipse) shifted z2
+ -- (directionpoint (z2 - z3) of ellipse) shifted z3;
+ l34 := (directionpoint (z3 - z4) of ellipse) shifted z3
+ -- (directionpoint (z3 - z4) of ellipse) shifted z4;
+ l41 := (directionpoint (z4 - z1) of ellipse) shifted z4
+ -- (directionpoint (z4 - z1) of ellipse) shifted z1;
+
+ unfill l12 intersectionpoint l23
+ -- l23 intersectionpoint l34
+ -- l34 intersectionpoint l41
+ -- l41 intersectionpoint l12
+ -- cycle;
+ fi;
+
+ labels (1, 2, 3, 4);
enddef;
-fet_beginchar("Mensural semibrevis head","s0mensural")
+fet_beginchar ("Mensural semibrevis head", "s0mensural");
draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
fet_endchar;
-fet_beginchar("Mensural minima head","s1mensural")
+
+fet_beginchar ("Mensural minima head", "s1mensural");
draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
fet_endchar;
-fet_beginchar("Mensural semiminima head","s2mensural")
+
+fet_beginchar ("Mensural semiminima head", "s2mensural");
draw_diamond_head (staff_space#, 0.15, 0.30, 30, false);
fet_endchar;
-fet_beginchar("Petrucci semibrevis head","s0petrucci")
+
+fet_beginchar ("Petrucci semibrevis head", "s0petrucci");
% draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, true);
draw_neomensural_open_head (staff_space#, 1.8 staff_space#);
fet_endchar;
-fet_beginchar("Petrucci minima head","s1petrucci")
+
+fet_beginchar ("Petrucci minima head", "s1petrucci");
% draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, true);
draw_neomensural_open_head (staff_space#, 1.8 staff_space#);
fet_endchar;
-fet_beginchar("Petrucci semiminima head","s2petrucci")
+
+fet_beginchar ("Petrucci semiminima head", "s2petrucci");
% draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, false);
draw_neomensural_black_head (staff_space#, 1.8 staff_space#);
fet_endchar;
% parameterized punctum
def punctum_char (expr verbose_name, internal_name,
- left_stem, right_stem, linea, cavum,
- straight, auctum, rev_auctum, dir_up,
- excentric, up_shift, down_shift, mag) =
+ left_stem, right_stem, linea, cavum,
+ straight, auctum, rev_auctum, d_up,
+ eccentric, up_shift, down_shift, mag) =
+ fet_beginchar (verbose_name, "s" & internal_name);
+ save a_b, b_h, a_w;
- fet_beginchar(verbose_name, "s" & internal_name)
- save b_h, a_w;
- a_b := 1.54; % b_h*a_b/a_w = wd/ht
+ a_b := 1.54; % b_h * a_b / a_w = wd / ht
b_h := 0.85;
a_w := 1.09;
save a, beta, ht, wd;
+
ht# = noteheight# * mag;
- 2beta# = ht# * b_h;
+ 2 beta# = ht# * b_h;
a# = beta# * a_b;
- wd# = 2a# / a_w;
+ wd# = 2 a# / a_w;
black_notehead_width# := wd#;
% direction
- save dir, dir_sign;
- pair dir;
- if dir_up:
- dir = up;
- dir_sign# = 1;
+ save d_, d_sign;
+ pair d_;
+
+ if d_up:
+ d_ := up;
+ d_sign# := 1;
else:
- dir = down;
- dir_sign# = -1;
+ d_ := down;
+ d_sign# := -1;
fi;
% convexity and eccentricity
save u_convexity, u_eccentricity;
+
if straight:
- u_convexity# = -0.01ht#;
- u_eccentricity# = 0.0ht#; % dummy
+ u_convexity# := -0.01 ht#;
+ u_eccentricity# := 0.0 ht#; % dummy
elseif auctum:
- u_convexity# = -0.03ht#;
- u_eccentricity# = +0.25ht#;
+ u_convexity# := -0.03 ht#;
+ u_eccentricity# := +0.25 ht#;
elseif rev_auctum:
- u_convexity# = -0.10ht#;
- u_eccentricity# = -0.12ht#;
+ u_convexity# := -0.10 ht#;
+ u_eccentricity# := -0.12 ht#;
else:
- u_convexity# = -0.05ht#;
- u_eccentricity# = 0.0ht#; % dummy
+ u_convexity# := -0.05 ht#;
+ u_eccentricity# := 0.0 ht#; % dummy
fi;
+
save convexity, eccentricity;
- convexity# = dir_sign# * u_convexity#;
- eccentricity# = dir_sign# * u_eccentricity#;
+
+ convexity# := d_sign# * u_convexity#;
+ eccentricity# := d_sign# * u_eccentricity#;
% y shift offset
save yoffs;
+
if up_shift:
- yoffs# = 0.08ht#;
+ yoffs# := 0.08 ht#;
elseif down_shift:
- yoffs# = -0.11ht#;
+ yoffs# := -0.11 ht#;
else:
- yoffs# = 0.00ht#;
- fi
+ yoffs# := 0.00 ht#;
+ fi;
+
+ define_pixels (convexity, eccentricity, yoffs, ht, wd);
- define_pixels(convexity, eccentricity, yoffs, ht, wd);
pickup pencircle scaled linethickness;
path p;
save height, yoffs_bt;
+
+ height# = 0.47 ht#;
+ yoffs_bt# = yoffs# - 0.5 height# - 0.25 convexity#;
+
define_pixels (height, yoffs_bt);
- height# = 0.47ht#;
- yoffs_bt# = yoffs# - 0.5*height# - 0.25*convexity#;
- xpart z1a = xpart z1b;
- xpart z2a = xpart z2b;
- xpart z3a = xpart z3b;
- ypart z1a + height = ypart z1b;
- ypart z2a + height = ypart z2b;
- ypart z3a + height = ypart z3b;
+
+ x1 = x6;
+ x2 = x5;
+ x3 = x4;
+ y1 + height = y6;
+ y2 + height = y5;
+ y3 + height = y4;
save box_top, box_bt;
if auctum or rev_auctum:
- z1a = (0.00wd + linethickness/2, yoffs_bt);
- z2a = (0.21wd, yoffs_bt + 1.0*convexity);
- z3a = (0.42wd - linethickness/2,
- yoffs_bt + 1.0*eccentricity);
+ z1 = (0.00 wd + linethickness / 2,
+ yoffs_bt);
+ z2 = (0.21 wd,
+ yoffs_bt + 1.0 convexity);
+ z3 = (0.42 wd - linethickness/ 2,
+ yoffs_bt + 1.0 eccentricity);
box_top# = height# + yoffs_bt# +
- max(0, 1.0*convexity#, 1.0*eccentricity#);
+ max (0, 1.0 convexity#, 1.0 eccentricity#);
box_bt# = yoffs_bt# +
- min(0, 1.0*convexity#, 1.0*eccentricity#);
- p = z1a .. {right}z2a .. {dir}z3a --
- z3b{-dir} .. z2b{left} .. z1b -- cycle;
- elseif excentric:
- z1a = (0.00wd + linethickness/2,
- yoffs_bt - 1.0*convexity);
- z2a = (0.08wd, yoffs_bt + 1.4*convexity);
- z3a = (0.42wd - linethickness/2,
- yoffs_bt - 1.0*convexity);
+ min (0, 1.0 convexity#, 1.0 eccentricity#);
+ p = z1
+ .. {right}z2
+ .. {d_}z3
+ -- z4{-d_}
+ .. z5{left}
+ .. z6
+ -- cycle;
+ elseif eccentric:
+ z1 = (0.00 wd + linethickness / 2,
+ yoffs_bt - 1.0 convexity);
+ z2 = (0.08 wd,
+ yoffs_bt + 1.4 convexity);
+ z3 = (0.42 wd - linethickness / 2,
+ yoffs_bt - 1.0 convexity);
box_top# = height# + yoffs_bt# +
- max(-1.0*convexity#, 1.4*convexity#, 0);
+ max (-1.0 convexity#, 1.4 convexity#, 0);
box_bt# = yoffs_bt# +
- min(-1.0*convexity#, 1.4*convexity#, 0);
- p = z1a{dir} .. z2a{right} .. z3a --
- z3b .. {left}z2b .. {-dir}z1b -- cycle;
+ min (-1.0 convexity#, 1.4 convexity#, 0);
+ p = z1{d_}
+ .. z2{right}
+ .. z3
+ -- z4
+ .. {left}z5
+ .. {-d_}z6
+ -- cycle;
else:
- z1a = (0.00wd + linethickness/2, yoffs_bt);
- z2a = (0.21wd, yoffs_bt + 1.0*convexity);
- z3a = (0.42wd - linethickness/2, yoffs_bt);
+ z1 = (0.00 wd + linethickness / 2,
+ yoffs_bt);
+ z2 = (0.21 wd,
+ yoffs_bt + 1.0 convexity);
+ z3 = (0.42 wd - linethickness / 2,
+ yoffs_bt);
box_top# = height# + yoffs_bt# +
- max(0, 1.0*convexity#);
+ max (0, 1.0 convexity#);
box_bt# = yoffs_bt# +
- min(0, 1.0*convexity#);
- p = z1a .. z2a .. z3a --
- z3b .. z2b .. z1b -- cycle;
+ min (0, 1.0 convexity#);
+ p = z1
+ .. z2
+ .. z3
+ -- z4
+ .. z5
+ .. z6
+ -- cycle;
fi;
+ labels (1, 2, 3, 4, 5, 6);
+
if cavum:
draw p;
else:
filldraw p;
fi;
- pickup pencircle scaled 0.6linethickness;
+ pickup pencircle scaled 0.6 linethickness;
save stem_bt;
if left_stem:
- z5=(0.00wd + 0.6linethickness/2, yoffs);
- z6=(0.00wd + 0.6linethickness/2, yoffs - 1.1ht);
- draw z5 -- z6;
- stem_bt# = yoffs# - 1.1ht#;
+ z11 = (0.00 wd + 0.6 linethickness / 2, yoffs);
+ z12 = (0.00 wd + 0.6 linethickness / 2, yoffs - 1.1 ht);
+ draw z11
+ -- z12;
+ stem_bt# = yoffs# - 1.1 ht#;
elseif right_stem:
- z5=(0.42wd - 0.6linethickness/2, yoffs);
- z6=(0.42wd - 0.6linethickness/2, yoffs - 1.5ht);
- draw z5 -- z6;
- stem_bt# = yoffs# - 1.5ht#;
+ z11 = (0.42 wd - 0.6 linethickness / 2, yoffs);
+ z12 = (0.42 wd - 0.6 linethickness / 2, yoffs - 1.5 ht);
+ draw z11
+ -- z12;
+ stem_bt# = yoffs# - 1.5 ht#;
else:
stem_bt# = 0;
fi;
- set_char_box(0.00wd#, 0.42wd#,
- max(0, -box_bt#, -stem_bt#) + linethickness#/2,
- max(0, box_top#) + linethickness#/2);
+ set_char_box (0.00 wd#, 0.42 wd#,
+ max (0, -box_bt#, -stem_bt#) + linethickness# / 2,
+ max (0, box_top#) + linethickness# / 2);
if linea:
save linea_width, linea_height;
+
linea_width# = 0.6 linethickness#;
linea_height# = 0.7 ht#;
+
define_pixels (linea_width, linea_height);
- draw_block ((-0.10wd - linea_width/2,
- -linea_height/2),
- (-0.10wd + linea_width/2,
- +linea_height/2));
- draw_block ((+0.52wd - linea_width/2,
- -linea_height/2),
- (+0.52wd + linea_width/2,
- +linea_height/2));
- set_char_box(0,
- 0.62wd# + linea_width#,
- linea_height#/2,
- linea_height#/2);
+
+ draw_block ((-0.10 wd - linea_width / 2,
+ -linea_height / 2),
+ (-0.10 wd + linea_width / 2,
+ +linea_height / 2));
+ draw_block ((+0.52 wd - linea_width / 2,
+ -linea_height / 2),
+ (+0.52 wd + linea_width / 2,
+ +linea_height / 2));
+
+ set_char_box (0,
+ 0.62 wd# + linea_width#,
+ linea_height# / 2,
+ linea_height# / 2);
+
currentpicture := currentpicture
- shifted (0.10wd + linea_width/2, 0);
+ shifted (0.10 wd + linea_width / 2, 0);
fi;
fet_endchar;
enddef;
+
% parameterized punctum inclinatum
-def inclinatum_char(expr verbose_name, internal_name,
- small, stropha, auctum) =
+def inclinatum_char (expr verbose_name, internal_name,
+ small, stropha, auctum) =
- fet_beginchar(verbose_name, "s"&internal_name)
+ fet_beginchar (verbose_name, "s" & internal_name)
save ht, alpha;
alpha# = 35;
if small:
enddef;
% punctum
-punctum_char("Ed. Vat. punctum", "vaticana.punctum",
- false, false, false, false, false,
- false, false, false, false, false, false, 1.0);
+punctum_char ("Ed. Vat. punctum", "vaticana.punctum",
+ false, false, false, false, false,
+ false, false, false, false, false, false, 1.0);
% punctum cavum (for OpusTeX compatibility)
-punctum_char("Ed. Vat. punctum cavum", "vaticana.punctum.cavum",
- false, false, false, true, false,
- false, false, false, false, false, false, 1.0);
+punctum_char ("Ed. Vat. punctum cavum", "vaticana.punctum.cavum",
+ false, false, false, true, false,
+ false, false, false, false, false, false, 1.0);
% linea punctum (for OpusTeX compatibility)
-punctum_char("Ed. Vat. linea punctum", "vaticana.linea.punctum",
- false, false, true, false, false,
- false, false, false, false, false, false, 1.0);
+punctum_char ("Ed. Vat. linea punctum", "vaticana.linea.punctum",
+ false, false, true, false, false,
+ false, false, false, false, false, false, 1.0);
% linea punctum cavum (for OpusTeX compatibility)
-punctum_char("Ed. Vat. linea punctum cavum", "vaticana.linea.punctum.cavum",
- false, false, true, true, false,
- false, false, false, false, false, false, 1.0);
+punctum_char ("Ed. Vat. linea punctum cavum", "vaticana.linea.punctum.cavum",
+ false, false, true, true, false,
+ false, false, false, false, false, false, 1.0);
% punctum inclinatum
-inclinatum_char("Ed. Vat. inclinatum", "vaticana.inclinatum",
- false, false, false);
+inclinatum_char ("Ed. Vat. inclinatum", "vaticana.inclinatum",
+ false, false, false);
% pes lower punctum
-punctum_char("Ed. Vat. pes lower punctum", "vaticana.lpes",
- false, false, false, false, true,
- false, false, true, false, false, false, 1.0);
+punctum_char ("Ed. Vat. pes lower punctum", "vaticana.lpes",
+ false, false, false, false, true,
+ false, false, true, false, false, false, 1.0);
% pes lower punctum
-punctum_char("Ed. Vat. pes var lower punctum", "vaticana.vlpes",
- false, false, false, false, true,
- false, false, true, false, false, true, 1.0);
+punctum_char ("Ed. Vat. pes var lower punctum", "vaticana.vlpes",
+ false, false, false, false, true,
+ false, false, true, false, false, true, 1.0);
% pes upper punctum
-punctum_char("Ed. Vat. pes upper punctum", "vaticana.upes",
- false, false, false, false, true,
- false, false, false, false, false, false, 1.0);
+punctum_char ("Ed. Vat. pes upper punctum", "vaticana.upes",
+ false, false, false, false, true,
+ false, false, false, false, false, false, 1.0);
% pes upper punctum (shifted variation)
%
% avoid collision with the lower punctum note of the pes when the upper
% punctum sits directly on top of the lower punctum.
%
-punctum_char("Ed. Vat. var pes upper punctum", "vaticana.vupes",
- false, false, false, false, true,
- false, false, false, false, true, false, 1.0);
+punctum_char ("Ed. Vat. var pes upper punctum", "vaticana.vupes",
+ false, false, false, false, true,
+ false, false, false, false, true, false, 1.0);
% small punctum as used in epiphonus
-punctum_char("Ed. Vat. plica", "vaticana.plica",
- false, false, false, false, false,
- false, false, false, false, false, false, 0.6);
+punctum_char ("Ed. Vat. plica", "vaticana.plica",
+ false, false, false, false, false,
+ false, false, false, false, false, false, 0.6);
% small punctum as used in epiphonus
-punctum_char("Ed. Vat. var plica", "vaticana.vplica",
- false, false, false, false, false,
- false, true, false, false, false, true, 0.6);
+punctum_char ("Ed. Vat. var plica", "vaticana.vplica",
+ false, false, false, false, false,
+ false, true, false, false, false, true, 0.6);
-% excentric punctum as used in epiphonus
-punctum_char("Ed. Vat. epiphonus", "vaticana.epiphonus",
- false, false, false, false, false,
- false, false, true, true, false, false, 1.0);
+% eccentric punctum as used in epiphonus
+punctum_char ("Ed. Vat. epiphonus", "vaticana.epiphonus",
+ false, false, false, false, false,
+ false, false, true, true, false, false, 1.0);
-% excentric punctum as used in epiphonus (shifted variation)
+% eccentric punctum as used in epiphonus (shifted variation)
%
% This note head is used instead of the regular epiphonus punctum to
% avoid collision with the plica head when the plica sits directly on
% top of the lower head.
%
-punctum_char("Ed. Vat. var epiphonus", "vaticana.vepiphonus",
- false, false, false, false, false,
- false, false, true, true, false, true, 1.0);
+punctum_char ("Ed. Vat. var epiphonus", "vaticana.vepiphonus",
+ false, false, false, false, false,
+ false, false, true, true, false, true, 1.0);
% small punctum as used in cephalicus
-punctum_char("Ed. Vat. rev. plica", "vaticana.reverse.plica",
- false, false, false, false, false,
- false, false, true, false, false, false, 0.6);
+punctum_char ("Ed. Vat. rev. plica", "vaticana.reverse.plica",
+ false, false, false, false, false,
+ false, false, true, false, false, false, 0.6);
% small punctum as used in cephalicus
-punctum_char("Ed. Vat. rev. var plica", "vaticana.reverse.vplica",
- false, false, false, false, false,
- false, true, true, false, false, true, 0.6);
+punctum_char ("Ed. Vat. rev. var plica", "vaticana.reverse.vplica",
+ false, false, false, false, false,
+ false, true, true, false, false, true, 0.6);
-% excentric punctum as used in cephalicus; without left stem
-punctum_char("Ed. Vat. cephalicus", "vaticana.inner.cephalicus",
- false, false, false, false, false,
- false, false, false, true, false, false, 1.0);
+% eccentric punctum as used in cephalicus; without left stem
+punctum_char ("Ed. Vat. cephalicus", "vaticana.inner.cephalicus",
+ false, false, false, false, false,
+ false, false, false, true, false, false, 1.0);
-% excentric punctum as used in cephalicus; with left stem
-punctum_char("Ed. Vat. cephalicus", "vaticana.cephalicus",
- true, false, false, false, false,
- false, false, false, true, false, false, 1.0);
+% eccentric punctum as used in cephalicus; with left stem
+punctum_char ("Ed. Vat. cephalicus", "vaticana.cephalicus",
+ true, false, false, false, false,
+ false, false, false, true, false, false, 1.0);
% quilisma
-fet_beginchar("Ed. Vat. quilisma", "svaticana.quilisma")
- save b_h,a_w;
+fet_beginchar ("Ed. Vat. quilisma", "svaticana.quilisma")
+ save a_b, b_h, a_w;
+
a_b:=1.54; % b_h*a_b/a_w = wd/ht
b_h:=0.85;
a_w:=1.09;
save a, beta, ht, wd;
ht# = noteheight#;
- 2beta# = ht#*b_h;
+ 2 beta# = ht# * b_h;
a# = beta#*a_b;
- wd# = 2a# / a_w;
- set_char_box(0, 0.42wd#, 0.28 ht#, 0.36 ht#);
+ wd# = 2 a# / a_w;
+ set_char_box (0, 0.42 wd#, 0.28 ht#, 0.36 ht#);
black_notehead_width# := wd#;
- define_pixels(ht, wd);
- pickup pencircle xscaled linethickness yscaled 0.44ht;
- lft x1 = 0.00wd; bot y1 = -0.28ht;
- x2 = 0.11wd; y2 = -0.14ht;
- x3 = 0.12wd; y3 = +0.03ht;
- x4 = 0.25wd; y4 = -0.09ht;
- x5 = 0.26wd; y5 = +0.08ht;
- x6 = 0.40wd; y6 = -0.04ht;
- rt x7 = 0.42wd; top y7 = +0.36ht;
+ define_pixels (ht, wd);
+ pickup pencircle xscaled linethickness yscaled 0.44 ht;
+ lft x1 = 0.00 wd; bot y1 = -0.28 ht;
+ x2 = 0.11 wd; y2 = -0.14 ht;
+ x3 = 0.12 wd; y3 = +0.03 ht;
+ x4 = 0.25 wd; y4 = -0.09 ht;
+ x5 = 0.26 wd; y5 = +0.08 ht;
+ x6 = 0.40 wd; y6 = -0.04 ht;
+ rt x7 = 0.42 wd; top y7 = +0.36 ht;
draw z1 .. z2 -- z3 .. z4 -- z5 .. z6 -- z7;
fet_endchar;
% solesmes punctum inclinatum parvum
-inclinatum_char("Solesmes punctum inclinatum parvum", "solesmes.incl.parvum",
- true, false, false);
+inclinatum_char ("Solesmes punctum inclinatum parvum", "solesmes.incl.parvum",
+ true, false, false);
% solesmes punctum auctum ascendens
-punctum_char("Solesmes punctum auctum ascendens", "solesmes.auct.asc",
- false, false, false, false, false,
- true, false, true, false, false, false, 1.0);
+punctum_char ("Solesmes punctum auctum ascendens", "solesmes.auct.asc",
+ false, false, false, false, false,
+ true, false, true, false, false, false, 1.0);
% solesmes punctum auctum descendens
-punctum_char("Solesmes punctum auctum descendens", "solesmes.auct.desc",
- false, false, false, false, false,
- true, false, false, false, false, false, 1.0);
+punctum_char ("Solesmes punctum auctum descendens", "solesmes.auct.desc",
+ false, false, false, false, false,
+ true, false, false, false, false, false, 1.0);
% solesmes punctum inclinatum auctum
-inclinatum_char("Solesmes punctum incl. auctum", "solesmes.incl.auctum",
- false, false, true);
+inclinatum_char ("Solesmes punctum incl. auctum", "solesmes.incl.auctum",
+ false, false, true);
% solesmes stropha
-inclinatum_char("Solesmes stropha", "solesmes.stropha",
- false, true, false);
+inclinatum_char ("Solesmes stropha", "solesmes.stropha",
+ false, true, false);
% solesmes stropha aucta
-inclinatum_char("Solesmes stropha aucta", "solesmes.stropha.aucta",
- false, true, true);
+inclinatum_char ("Solesmes stropha aucta", "solesmes.stropha.aucta",
+ false, true, true);
% solesmes oriscus
-fet_beginchar("Solesmes oriscus", "ssolesmes.oriscus")
- save b_h, a_w;
+fet_beginchar ("Solesmes oriscus", "ssolesmes.oriscus")
+ save a_b, b_h, a_w;
+
a_b := 1.54; % b_h*a_b/a_w = wd/ht
b_h := 0.85;
a_w := 1.09;
save a, beta, ht, wd;
ht# = noteheight#;
- 2beta# = ht# * b_h;
+ 2 beta# = ht# * b_h;
a# = beta# * a_b;
- wd# = 2a# / a_w;
+ wd# = 2 a# / a_w;
black_notehead_width# := wd#;
save convexity;
- convexity# = +0.05ht#;
-
- define_pixels(ht, wd, convexity);
- pickup pencircle xscaled blot_diameter yscaled 0.50ht;
- lft x1 = 0.00wd; y1 = -convexity;
- x2 = 0.16wd; y2 = +convexity;
- x3 = 0.33wd; y3 = -convexity;
- rt x4 = 0.50wd; y4 = +convexity;
+ convexity# = +0.05 ht#;
+
+ define_pixels (ht, wd, convexity);
+ pickup pencircle xscaled blot_diameter yscaled 0.50 ht;
+ lft x1 = 0.00 wd; y1 = -convexity;
+ x2 = 0.16 wd; y2 = +convexity;
+ x3 = 0.33 wd; y3 = -convexity;
+ rt x4 = 0.50 wd; y4 = +convexity;
draw z1 .. z2 .. z3 .. z4;
- set_char_box(0.00wd#, 0.50wd#,
- 0.25ht# + convexity#, 0.25ht# + convexity#);
+ set_char_box (0.00 wd#, 0.50 wd#,
+ 0.25 ht# + convexity#, 0.25 ht# + convexity#);
fet_endchar;
%%%%%%%%
%
% inclinatum
-fet_beginchar("Ed. Med. inclinatum", "smedicaea.inclinatum")
- draw_diamond_head (1.2staff_space#, 0, 0, 35, false);
+fet_beginchar ("Ed. Med. inclinatum", "smedicaea.inclinatum")
+ draw_diamond_head (1.2 staff_space#, 0, 0, 35, false);
fet_endchar;
+
% parametrized punctum
def punctum_char (expr verbose_name, internal_name,
- left_up_stem, left_down_stem) =
-
- fet_beginchar(verbose_name, "s"&internal_name)
-
+ left_up_stem, left_down_stem) =
+ fet_beginchar (verbose_name, "s" & internal_name);
save a, beta, ht, wd;
+
ht# = 2 staff_space#;
wd# = ht#;
black_notehead_width# := wd#;
- define_pixels(ht, wd);
- pickup pencircle
- xscaled blot_diameter
- yscaled 0.50ht;
- z1 = (0.00wd + blot_diameter/2, 0);
- z2 = (0.4wd - blot_diameter/2, 0);
- draw z1 .. z2;
+ define_pixels (ht, wd);
- pickup pencircle
- xscaled linethickness
- yscaled blot_diameter;
+ pickup pencircle xscaled blot_diameter
+ yscaled 0.50 ht;
+
+ z1 = (0.00 wd + blot_diameter / 2, 0);
+ z2 = (0.4 wd - blot_diameter / 2, 0);
+
+ draw z1
+ .. z2;
+
+ pickup pencircle xscaled linethickness
+ yscaled blot_diameter;
if left_down_stem:
- z4=(0.00wd + linethickness/2, blot_diameter/2);
- z5=(0.00wd + linethickness/2, - 1.25ht);
- draw z4 .. z5;
- set_char_box(0.0, 0.4wd#, 1.25ht#, 0.25ht#);
+ z4 = (0.00 wd + linethickness / 2, blot_diameter / 2);
+ z5 = (0.00 wd + linethickness / 2, -1.25 ht);
+
+ draw z4
+ .. z5;
+ set_char_box (0.0, 0.4 wd#, 1.25 ht#, 0.25 ht#);
elseif left_up_stem:
- z4=(0.00wd + linethickness/2, blot_diameter/2);
- z5=(0.00wd + linethickness/2, + 1.25ht);
- draw z4 .. z5;
- set_char_box(0.0, 0.4wd#, 0.25ht#, 1.25ht#);
+ z4 = (0.00 wd + linethickness / 2, blot_diameter / 2);
+ z5 = (0.00 wd + linethickness / 2, +1.25 ht);
+
+ draw z4
+ .. z5;
+ set_char_box (0.0, 0.4 wd#, 0.25 ht#, 1.25 ht#);
else:
- set_char_box(0.0, 0.4wd#, 0.25ht#, 0.25ht#);
+ set_char_box (0.0, 0.4 wd#, 0.25 ht#, 0.25 ht#);
fi;
fet_endchar;
enddef;
+
% punctum
-punctum_char("Ed. Med. punctum", "medicaea.punctum",
- false, false);
+punctum_char ("Ed. Med. punctum", "medicaea.punctum",
+ false, false);
+
% left up-stemmed punctum
-punctum_char("Ed. Med. reverse virga", "medicaea.rvirga",
- true, false);
+punctum_char ("Ed. Med. reverse virga", "medicaea.rvirga",
+ true, false);
+
% virga (i.e. left down-stemmed punctum)
-punctum_char("Ed. Med. virga", "medicaea.virga",
- false, true);
+punctum_char ("Ed. Med. virga", "medicaea.virga",
+ false, true);
%%%%%%%%
%
% punctum
% parametrized punctum
def punctum_char (expr verbose_name, internal_name,
- down_stem) =
- fet_beginchar(verbose_name, "s" & internal_name)
+ down_stem) =
+ fet_beginchar (verbose_name, "s" & internal_name);
save alpha;
+
alpha# = 55;
draw_diamond_head (staff_space#, 0, 0, alpha#, false);
if down_stem:
- pickup pencircle
- xscaled blot_diameter
- yscaled (0.7*staff_space)
- rotated -alpha#;
- save za, zb; pair za, zb;
- za = (head_width/2, 0);
- bot zb = (head_width/2, -1.5staff_space);
- draw za -- zb;
+ pickup pencircle xscaled blot_diameter
+ yscaled 0.7 staff_space
+ rotated -alpha#;
+
+ save za, zb;
+ pair za, zb;
+
+ za = (head_width / 2, 0);
+ bot zb = (head_width / 2, -1.5 staff_space);
+
+ draw za
+ -- zb;
set_char_box (0, head_width#,
- 1.5staff_space#, head_height#/2);
+ 1.5 staff_space#, head_height# / 2);
fi;
fet_endchar;
enddef;
% punctum
-punctum_char("Hufnagel punctum", "hufnagel.punctum", false)
+punctum_char ("Hufnagel punctum", "hufnagel.punctum", false)
% virga
-punctum_char("Hufnagel virga", "hufnagel.virga", true)
+punctum_char ("Hufnagel virga", "hufnagel.virga", true)
% pes lower punctum
-fet_beginchar("Hufnagel pes lower punctum", "shufnagel.lpes")
+fet_beginchar ("Hufnagel pes lower punctum", "shufnagel.lpes")
save width, height, alpha;
width# = 2*staff_space#;
height# = 0.7*staff_space#;
alpha# = 35;
- set_char_box(0, width#, height#/2, height#/2);
+ set_char_box (0, width#, height#/2, height#/2);
pickup pencircle scaled linethickness;
- define_pixels(width, height);
+ define_pixels (width, height);
rt x3 = -lft x1 = width/2;
y2 = y3 = height/2;
y1 = y4 = -height/2;
- tand(alpha#) * (y2 - y1) = x2 - x1 = x3 - x4;
+ tand (alpha#) * (y2 - y1) = x2 - x1 = x3 - x4;
filldraw z1 -- z2 -- z3 -- z4 -- cycle;