% The stems of the natural are brushed (at least, in Barenreiter SCS)
%
+% general parameters:
+save full_width, full_height;
+save stem_thickness, stem_end_thickness_multiplier;
+save beam_thickness, beam_slant, hole_highest_point;
+
+full_height# := 3 staff_space#;
+full_width# := 2/3 staff_space#;
+stem_thickness# := 0.09 staff_space# + 0.5 stafflinethickness#;
+stem_end_thickness_multiplier := 10/7;
+beam_slant := 1.266 stafflinethickness;
+beam_thickness := 0.485 staff_space - stafflinethickness;
+hole_highest_point := 0.5 (staff_space - stafflinethickness);
+
+
def draw_natural (expr arrowup, arrowdown) =
- save stemwidth, top_stem_thick;
- save ne, pat_top, pat_bottom;
- save depth, height, extendleft, extendright, stemlength;
- save brush_scale_up, brush_scale_down;
- pair ne;
- path pat_top, pat_bottom;
-
- top_stem_thick# = stafflinethickness# + .10 staff_space#;
- stemwidth# = 0.09 staff_space# + .5 stafflinethickness#;
- define_whole_blacker_pixels (top_stem_thick, stemwidth);
-
- stemlength# = 1.5 staff_space#;
- define_pixels (stemlength);
-
- height# = stemlength#;
- depth# = stemlength#;
- extendleft# = 0;
- extendright# = 0;
- if arrowup:
- extendleft# := 3 stafflinethickness#;
- height# := height# + 1.2 staff_space#;
- fi;
- if arrowdown:
- extendright# := 3.15 stafflinethickness#;
- depth# := depth# + 1.2 staff_space#;
- fi;
- define_pixels (extendright);
-
- set_char_box (extendleft#, 2/3 staff_space#, depth#, height#);
-
- d := d - feta_space_shift;
-
- pickup pencircle scaled stemwidth;
-
- brush_scale_up := 1.0;
- brush_scale_down := 1.0;
- % to look nice, arrowed stems must be less brushed
- if arrowup:
- brush_scale_up := 0.85;
- fi;
- if arrowdown:
- brush_scale_down := 0.85;
- fi;
-
- penpos1 (top_stem_thick, 0);
- penpos3 (top_stem_thick, 0);
- penpos2 (stemwidth, 0);
- penpos4 (stemwidth, 0);
- % z1' and z3' are needed for the arrowed accidentals
- penpos1' (top_stem_thick * brush_scale_up, 0);
- penpos3' (top_stem_thick * brush_scale_down, 0);
-
- x2r = w;
- x4l = 0;
- x3 = x3' = x2;
- x1 = x1' = x4;
-
- y1 = y1' = stemlength;
- y3 = y3' = -stemlength;
- top y2 = vround (staff_space - 3/2 stafflinethickness);
- y4 = -y2 + feta_space_shift;
-
- pat_bottom := z4r{z4r - z1r}
- .. bot z4
- .. z4l{z1l - z4l};
- fill simple_serif (z1'l, z1'r, -30)
- -- pat_bottom
- -- cycle;
-
- pat_top := z2r{z2r - z3r}
- .. top z2
- .. z2l{z3l - z2l};
- fill simple_serif (z3'l, z3'r, 30)
- -- pat_top
- -- cycle;
-
- ne = (x2 - x4, stafflinethickness);
-
- z11' = z3l + whatever * (z2l - z3l);
- y11' = vround (.5 (staff_space - stafflinethickness));
- z11 = z11' + whatever * ne;
- x11 = x12;
- z12 = directionpoint -ne of pat_top;
- z13 = z12 + whatever * ne;
- x13 = x1;
- z14 = z11 + whatever * ne;
- x14 = x1;
-
- z21' = z4r + whatever * (z1r - z4r);
- y21' = -y11' + feta_space_shift;
- z21 = z21' + whatever * ne;
- x21 = x22;
- z22 = directionpoint -ne of pat_bottom;
- z23 = z22 + whatever * ne;
- x23 = x3;
- z24 = z21 + whatever * ne;
- x24 = x3;
-
- fill z11
- -- z12
- -- z13
- -- z14
- -- cycle;
- fill z21
- -- z22
- -- z23
- -- z24
- -- cycle;
-
- penlabels (1, 1', 2, 3, 3', 4);
- labels (11, 11', 12, 13, 14, 21, 21', 22, 23, 24);
-
- if arrowup:
- draw_arrow (z1, top_stem_thick * brush_scale_up,
- z1'l - z4l, stafflinethickness / 2, false);
- fi;
- if arrowdown:
- draw_arrow (z3, top_stem_thick * brush_scale_down,
- z2r - z3'r, stafflinethickness / 2, true);
- w := w + extendright;
- fi;
-
- remember_pic := currentpicture;
-
- draw_staff (-2, 2, 0);
+ save upstem_factor, downstem_factor;
+ save upstem_end_thickness, downstem_end_thickness;
+ save half_height, half_box_height;
+ save beam_direction, r_stem_top_path, l_stem_bottom_path;
+ pair beam_direction;
+ path r_stem_top_path, l_stem_bottom_path;
+
+ upstem_factor = downstem_factor = stem_end_thickness_multiplier;
+
+ half_height# := 0.5 full_height#;
+ define_pixels (half_height);
+ define_pixels (full_width);
+
+ set_char_box (0, full_width#, half_height#, half_height#);
+ d := d - feta_space_shift;
+
+ if arrowup:
+ b := b + 3 stafflinethickness;
+ h := h + 1.2 staff_space;
+ % to look nice, arrowed stems must be less brushed
+ upstem_factor := 0.5 (1 + upstem_factor);
+ fi;
+ if arrowdown:
+ w := w + 3 stafflinethickness;
+ d := d + 1.2 staff_space;
+ % to look nice, arrowed stems must be less brushed
+ downstem_factor := 0.5 (1 + downstem_factor);
+ fi;
+
+ upstem_end_thickness# = upstem_factor * stem_thickness#;
+ downstem_end_thickness# = downstem_factor * stem_thickness#;
+ define_whole_blacker_pixels (upstem_end_thickness, downstem_end_thickness);
+ define_whole_blacker_pixels (stem_thickness);
+
+ half_box_height := hole_highest_point + beam_thickness
+ %% correction for the fact that x11 != x12.
+ %% ideally y2 should be calculated from y11
+ %% and beam_thickness, but the brushed stems
+ %% would cause a cyclic dependency:
+ %% y2 -> x11 -> y14 -> y13 -> y12 -> y2
+ + 0.5 stem_thickness * beam_slant / full_width;
+
+ %% stems:
+
+ pickup pencircle scaled stem_thickness;
+
+ penpos1 (upstem_end_thickness, 0);
+ penpos3 (downstem_end_thickness, 0);
+ penpos2 (stem_thickness, 0);
+ penpos4 (stem_thickness, 0);
+
+ x2r = full_width;
+ x4l = 0;
+ x3 = x2;
+ x1 = x4;
+
+ y1 = half_height;
+ y3 = -half_height;
+ top y2 = vround (half_box_height);
+ y4 = -y2 + feta_space_shift;
+
+ l_stem_bottom_path := z4r{z4r - z1r}
+ .. bot z4
+ .. z4l{z1l - z4l};
+
+ r_stem_top_path := z2r{z2r - z3r}
+ .. top z2
+ .. z2l{z3l - z2l};
+
+ fill simple_serif (z1l, z1r, -30)
+ -- l_stem_bottom_path
+ -- cycle;
+
+ fill simple_serif (z3l, z3r, 30)
+ -- r_stem_top_path
+ -- cycle;
+
+ %% beams:
+
+ beam_direction = (full_width, beam_slant);
+
+ z11 = z3l + whatever * (z2l - z3l);
+ y11 = vround (hole_highest_point);
+ z12 = directionpoint -beam_direction of r_stem_top_path;
+ z13 = z12 + whatever * beam_direction;
+ x13 = x1;
+ z14 = z11 + whatever * beam_direction;
+ x14 = x1;
+
+ z21 = z4r + whatever * (z1r - z4r);
+ y21 = -y11 + feta_space_shift;
+ z22 = directionpoint -beam_direction of l_stem_bottom_path;
+ z23 = z22 + whatever * beam_direction;
+ x23 = x3;
+ z24 = z21 + whatever * beam_direction;
+ x24 = x3;
+
+ fill z11
+ -- z12
+ -- z13
+ -- z14
+ -- cycle;
+
+ fill z21
+ -- z22
+ -- z23
+ -- z24
+ -- cycle;
+
+ if arrowup:
+ draw_arrow (z1, upstem_end_thickness,
+ z1l - z4l, stafflinethickness / 2, false);
+ fi;
+ if arrowdown:
+ draw_arrow (z3, downstem_end_thickness,
+ z2r - z3r, stafflinethickness / 2, true);
+ fi;
+
+ %% debugging:
+ penlabels (1, 2, 3, 4);
+ labels (11, 12, 13, 14, 21, 22, 23, 24);
+ draw_staff_if_debugging (-2, 2);
enddef;
fet_endchar;
-draw_shifted_too;
-
-
fet_beginchar ("Arrowed Natural (arrow up)", "natural.arrowup");
draw_natural (true, false);
fet_endchar;
-draw_shifted_too;
-
-
fet_beginchar ("Arrowed Natural (arrow down)", "natural.arrowdown");
draw_natural (false, true);
fet_endchar;
-draw_shifted_too;
-
-
fet_beginchar ("Arrowed Natural (arrows up and down)", "natural.arrowboth");
draw_natural (true, true);
fet_endchar;
-
-
-draw_shifted_too;
-
projects / lilypond.git / blobdiff