diff options
Diffstat (limited to 'Master/texmf-dist/fonts/source/public/mdsymbol/mdbase.mf')
-rw-r--r-- | Master/texmf-dist/fonts/source/public/mdsymbol/mdbase.mf | 977 |
1 files changed, 977 insertions, 0 deletions
diff --git a/Master/texmf-dist/fonts/source/public/mdsymbol/mdbase.mf b/Master/texmf-dist/fonts/source/public/mdsymbol/mdbase.mf new file mode 100644 index 00000000000..5f64d7b8ded --- /dev/null +++ b/Master/texmf-dist/fonts/source/public/mdsymbol/mdbase.mf @@ -0,0 +1,977 @@ +% +% Copyright (c) 2011, Sebastian Schubert <schubert.seb@googlemail.com> +% +% This Font Software is licensed under the SIL Open Font License, +% Version 1.1. This license is in the accompanying file OFL.txt, and +% is also available with a FAQ at: http://scripts.sil.org/OFL +% + +design_size := 10; +font_size design_size * pt#; + +if known ps_output: + font_version := "1.000"; + font_comment := "Copyright (c) 2011, Sebastian Schubert. This Font Software is licensed under the SIL Open Font License, Version 1.1."; +fi + +u# := 0.6pt#; +cap_height# := 6.74pt#; %7.37pt#; +asc_height# := cap_height#; % 8.56pt#; +desc_depth# := 1.98pt#; % 2.94pt#; +x_height# := 4.84pt#; +math_axis# := 2.75pt#; +if weight_index = 0: % Light + line_thickness# := 0.41pt#; + rule_thickness# := line_thickness#; + dot_size# := line_thickness#; +elseif weight_index = 1: % Regular + line_thickness# := 0.72pt#; + rule_thickness# := line_thickness#; + dot_size# := line_thickness#; +elseif weight_index = 2: % Semibold + line_thickness# := 0.98pt#; + rule_thickness# := line_thickness#; + dot_size# := 0.85pt#; +else: % Bold + line_thickness# := 1.17pt#; + rule_thickness# := line_thickness#; + dot_size# := 1.0pt#; +fi; + +side_bearing# := 1.u#; +small_op_size# := 8u#; % radius of small operators +med_op_size# := 12.5u#; % radius of medium operators +plus_size# := 9u#; +large_op_size# := 18u#; % radius of large operators +order_width# := 8u#; % width of equal sign +turnstile_width# := 11u#; % width of turnstile symbols +equal_spread# := .7math_axis#; % distance between the lines of the equal sign +greater_spread# := 10/4equal_spread#; % distance between the ends of the greater sign +arrow_horiz_len# := 12.5u#; % length of horizontal arrows +arrow_vert_len# := 12.5u#; % length of vertical arrows +arrow_diag_len# := 1/2(arrow_horiz_len# + arrow_vert_len#); +arrow_spread# := 1.6equal_spread#; +delim_height# := 4.9pt#; % half the height of normal delimiters +bigop_height# := 10.7pt#; % height of big operators +accent_height# := x_height# + 1.u#; % height of accents +accent_thickness# := 3/4line_thickness#; + +mode_setup; + +define_pixels(u, asc_height, cap_height, desc_depth, delim_height, bigop_height, x_height); +define_whole_pixels(dot_size, small_op_size, med_op_size, large_op_size, plus_size, + order_width, turnstile_width, equal_spread, greater_spread, + arrow_horiz_len, arrow_vert_len, arrow_diag_len, arrow_spread); + +if known ps_output: + define_pixels(math_axis, line_thickness, rule_thickness, side_bearing, accent_height, accent_thickness); +else: + math_axis := good.y(math_axis# * hppp); + line_thickness := ceiling(line_thickness# * hppp); + rule_thickness := ceiling(rule_thickness# * hppp); + side_bearing := ceiling(side_bearing# * hppp); + accent_height := ceiling(accent_height# * hppp); + accent_thickness := ceiling(accent_thickness# * hppp); +fi + +stroke_through_thickness := 4/5line_thickness; +bop_thickness_fac := 1.; % make big operators that much thicker + % (including sum and integral) + +% Macros + +def ppos_cut(suffix $)(expr a, b) = + ppos_cut_linethick($)(line_thickness, a, b); +enddef; + +def ppos_cut_linethick(suffix $)(expr lt, a, b) = + if sind(a-b) = 0 : + penpos$(lt,0); + else: + penpos$(lt/abs(sind(a-b)),b); + fi +enddef; + + +% Redefine clockwise and counterclockwise (turningnumber seems more stable) +if known ps_output: + vardef counterclockwise primary p = + (if turningnumber p>0: p else: (reverse p) fi) + enddef; + + vardef clockwise primary p = + (if turningnumber p<0: p else: (reverse p) fi) + enddef; +fi + +% Selects the n-th element of a list +def select(expr n)(text values) = + begingroup; + i := 0; + for v = values: + result := v; + exitif i = n; + i := i + 1; + endfor; + result + endgroup +enddef; + +% Splits a length at the math axis +def vcentre(expr size) = + size/2 + math_axis#, size/2 - math_axis# +enddef; + +current_char := -1; + +def beginsymbol(expr width, height, depth) = + current_char := current_char + 1; + beginchar(current_char, width, height, depth); + if not known ps_output: + proofrule((side_bearing, math_axis),(w - side_bearing, math_axis)); + proofrule((side_bearing, h),(side_bearing, -d)); + proofrule((w - side_bearing, h),(w - side_bearing, -d)); + fi +enddef; + +def beginoperator(expr size, ratio) = + beginsymbol(size + 2side_bearing#, vcentre(ratio * size)); + pair centre; + centre := (w/2, (h-d)/2); + radius := w/2 - side_bearing - 1/2line_thickness; +enddef; + +def beginbigop(expr xscale, yscale) = + beginsymbol(xscale * 3/2order_width# + 2side_bearing#, vcentre(yscale * bigop_height#)); + pair centre; + centre := (w/2, (h-d)/2); + op_width := xscale * 3/2order_width; + op_height := yscale * bigop_height; +enddef; + +def beginsquarebigop(expr xscale, yscale) = + beginsymbol(xscale * bigop_height# + 2side_bearing#, vcentre(yscale * bigop_height#)); + pair centre; + centre := (w/2, (h-d)/2); + op_width := xscale * bigop_height; + op_height := yscale * bigop_height; +enddef; + +def beginarrow(expr angle, scale, spread) = + arrow_len# := scale * + if angle mod 180 = 0: arrow_horiz_len# + elseif angle mod 180 = 90: arrow_vert_len# + else: arrow_diag_len# + fi; + arrow_len := scale * + if angle mod 180 = 0: arrow_horiz_len + elseif angle mod 180 = 90: arrow_vert_len + else: arrow_diag_len + fi; + + beginsymbol(arrow_len# * abs(cosd(angle)) + (spread + line_thickness#) * abs(sind(angle)) + 2side_bearing#, vcentre(arrow_len# * abs(sind(angle)) + (spread + line_thickness#) * abs(cosd(angle)))); + pair centre, head, head_ex, foot, foot_ex; + + centre := (w/2, (h-d)/2); + head := centre + (arrow_len - line_thickness)/2 * dir angle; + head_ex := centre + arrow_len/2 * dir angle; + foot := centre - (arrow_len - line_thickness)/2 * dir angle; + foot_ex := centre - arrow_len/2 * dir angle; +enddef; + +def beginorder(expr sign, width, spread) = + beginsymbol(width + 2side_bearing#, vcentre(spread + line_thickness#)); + pair centre, left_ex, right_ex, left_point, right_point; + centre := (w/2, (h-d)/2); + left_ex := centre - sign * (w/2 - side_bearing) * right; + left_point := centre - sign * (w/2 - side_bearing - line_thickness/2) * right; + right_ex := centre + sign * (w/2 - side_bearing) * right; + right_point := centre + sign * (w/2 - side_bearing - line_thickness/2) * right; +enddef; + +def beginturnstile(expr angle, scale) = + beginsymbol(abs(sind(angle) + scale * cosd(angle)) * turnstile_width# + 2side_bearing#, abs(min(scale, 1 + (scale - 1)/2) * sind(angle) + cosd(angle)) * cap_height#, abs(max(0, (scale - 1)/2) * sind(angle)) * cap_height#); + pair foot; + + if angle mod 180 = 0: + len := scale * turnstile_width; + spread := cap_height - line_thickness; + else: + len := scale * cap_height; + spread := turnstile_width - line_thickness;; + fi + foot = (w/2, (h - d)/2) - (len - line_thickness)/2 * dir angle; +enddef; + +def beginaccent(expr width, addheight) = + thick := accent_thickness; + beginsymbol(width, accent_height# + addheight, 0); +enddef; + +% Strokes a pen path +vardef stroke text t = + forsuffixes e = l, r: + path_.e := t; + endfor + path_.r -- reverse path_.l -- cycle +enddef; + +% Shapes + +def circle(expr centre, radius) = + (centre + radius * right){up} ... + (centre + radius * dir 45){dir 135} ... + (centre + radius * up){left} ... + (centre + radius * dir 135){dir 225} ... + (centre + radius * left){down} ... + (centre + radius * dir 225){dir 315} ... + (centre + radius * down){right} ... + (centre + radius * dir 315){dir 45} ... + cycle +enddef; + +def square(expr centre, radius, angle) = + (centre + sqrt(2) * radius * dir (angle + 45)) -- + (centre + sqrt(2) * radius * dir (angle + 135)) -- + (centre + sqrt(2) * radius * dir (angle + 225)) -- + (centre + sqrt(2) * radius * dir (angle + 315)) -- + cycle +enddef; + +def triangle(expr centre, radius, angle) = + (centre + radius * dir angle) -- + (centre + radius * dir (angle + 120)) -- + (centre + radius * dir (angle + 240)) -- + cycle +enddef; + +def reg_poly_points(suffix $)(expr n, centre, radius, angle) = + for i = 0 upto n-1: + z$[i] = centre + radius * dir (angle + i/n * 360); + endfor; +enddef; + +def dot(expr centre, radius) = + circle(centre, radius) +enddef; + +% Draw macros + +def draw_straight(expr orig, dest, thick, extend) = + begingroup; + pair p[].l, p[].r; + + theta := angle (dest - orig); + if extend: + 1/2[p1.l,p1.r] = orig - 1/2thick * dir theta; + 1/2[p2.l,p2.r] = dest + 1/2thick * dir theta; + else: + 1/2[p1.l,p1.r] = orig; + 1/2[p2.l,p2.r] = dest; + fi + p1.l - p1.r = p2.l - p2.r = thick * dir (theta + 90); + fill stroke p1.e -- p2.e; + endgroup; +enddef; + +def draw_line(expr orig, dest, extend) = + draw_straight(orig, dest, line_thickness, extend); +enddef; + +def draw_line_linethick(expr orig, dest, lt, extend) = + draw_straight(orig, dest, lt, extend); +enddef; + +def draw_line_cut_linethick(suffix $, $$)(expr lt)= + if (abs(angle(z$-z$$))<45) or (abs(angle(z$-z$$))>135) : + ppos_cut_linethick($)(lt,angle(z$-z$$),90); + ppos_cut_linethick($$)(lt,angle(z$-z$$),90); + else: + ppos_cut_linethick($)(lt,angle(z$-z$$),0); + ppos_cut_linethick($$)(lt,angle(z$-z$$),0); + fi + penstroke z$e .. z$$e; + penlabels($,$$); +enddef; + +def draw_line_cut(suffix $, $$)= + draw_line_cut_linethick($,$$)(line_thickness); +enddef; + +def draw_circle(expr centre, radius, thick) = + fill circle(centre, radius + 1/2thick); + unfill circle(centre, radius - 1/2thick); +enddef; + +def filldraw_circle(expr centre, radius, thick) = + fill circle(centre, radius + 1/2thick); +enddef; + +def draw_square(expr centre, radius, angle, thick) = + fill square(centre, radius + 1/2thick, angle); + unfill square(centre, radius - 1/2thick, angle); +enddef; + +def filldraw_square(expr centre, radius, angle, thick) = + fill square(centre, radius + 1/2thick, angle); +enddef; + +def draw_triangle(suffix $)(expr centre, radius, angle, thick) = + fill triangle(centre, radius + thick, angle); + unfill triangle(centre, radius - thick, angle); +enddef; + +def filldraw_triangle(suffix $)(expr centre, radius, angle, thick) = + fill triangle(centre, radius + thick, angle); +enddef; + +def draw_sim(suffix $)(expr lc, rc, spread, thick) = + theta := angle (length(rc - lc), 10spread); + signum := cosd (angle (rc - lc)) + sind (angle (lc - rc)); + + z0$.l = lc; + z4$.r = rc; + z2$ = 1/2[lc, rc]; + z4$.r = rc; + 1/2[z1$,z3$] = z2$; + z1$ = 1/4[lc, rc] + 1/6thick * dir (angle (rc - lc)) + + signum * spread * dir (angle (rc - lc) + 90); + + penpos0$(thick, angle(rc - lc) - signum * (90 - theta)); + penpos1$(thick, angle(rc - lc) - signum * 90); + penpos2$(thick, angle(rc - lc) - signum * (theta + 90 - 5)); + penpos3$(thick, angle(rc - lc) - signum * 90); + penpos4$(thick, angle(rc - lc) - signum * (90 - theta)); + + fill stroke z0$.e{dir (angle(rc - lc) + signum * theta)} .. {dir angle(rc - lc)}z1$.e .. {dir (angle(rc - lc) - signum * (theta - 5))}z2$.e .. {dir angle(rc - lc)}z3$.e .. {dir (angle(rc - lc) + signum * theta)}z4$.e; + + penlabels(0$,1$,3$,4$); +enddef; + +def draw_bump(suffix $)(expr sign, lc, rc, rad, thick) = + z0$ = lc; + z1$ = rc; + z2$ = 1/2[lc, rc] + sign * rad * dir (angle (rc - lc) + 90); + z3$ = 1/2[lc, rc] - rad * dir (angle (rc - lc)); + 1/2[z3$,z4$] = 1/2[lc, rc]; + + penpos0$(thick, angle (rc - lc) + sign * 90); + penpos1$(thick, angle (rc - lc) + sign * 90); + penpos2$(thick, angle (rc - lc) + sign * 90); + penpos3$(thick, angle (rc - lc)); + penpos4$(thick, angle (rc - lc)); + + z5$ = z3$.r; + z6$ = z4$.l; + + penpos5$(thick, angle (rc - lc) + sign * 90); + penpos6$(thick, angle (rc - lc) + sign * 90); + + path p$, q$; + numeric s$, t$; + + p$ = z3$.l{dir (angle(rc - lc) + sign * 90)} .. {rc - lc}z2$.r; + q$ = z2$.r{rc - lc} .. {dir (angle(rc - lc) - sign * 90)}z4$.r; + s$ = xpart (p$ intersectiontimes (z0$.r -- z1$.r)); + t$ = xpart (q$ intersectiontimes (z0$.r -- z1$.r)); + + fill z0$.r -- point s$ of p$ & subpath (s$,1) of p$ & subpath (0,t$) of q$ & point t$ of q$ -- z1$.r -- z1$.l -- z6$l. -- z6${dir (angle (rc - lc) + sign * 90)} .. z2$.l{lc - rc} .. {dir (angle (rc - lc) - sign * 90)}z5$ -- z5$.l -- z0$.l -- cycle; + + penlabels(0$,1$,2$,3$,4$,5$,6$); +enddef; + +def draw_less(suffix $)(expr lc, rc, spread, thick, closed, straight) = + put_less($)(lc, rc, spread, thick, closed, straight); + fill z0$.l -- z3$.l -- z4$.l -- z1$.l -- z1$.r -- z5$ -- z0$.r -- cycle; + + if closed: + fill z0$.l -- z6$.l -- z7$.l -- z1$.l -- z7$.r -- z6$.r -- cycle; + fi; +enddef; + +def put_less(suffix $)(expr lc, rc, spread, thick, closed, straight) = + theta := angle((length(rc - lc) - thick/2) * right + spread/2 * up); + + z2$ = lc + 1/2thick * dir (angle (rc - lc)); + 1/2[z0$.r,z1$.r] = rc; + z0$ = z2$ + whatever * dir (angle (rc - lc) + theta); + z1$ = z2$ + whatever * dir (angle (rc - lc) - theta); + + if straight: + penpos0$(thick/cosd(theta), angle(rc - lc) - 90); + penpos1$(thick/cosd(theta), angle(rc - lc) + 90); + else: + penpos0$(thick, angle(rc - lc) - 90 + theta); + penpos1$(thick, angle(rc - lc) + 90 - theta); + fi; + penpos3$(thick, angle(rc - lc) - 90 + theta); + penpos4$(thick, angle(rc - lc) + 90 - theta); + + z3$.l = z0$.l + whatever * (z2$ - z0$); + z4$.l = z1$.l + whatever * (z2$ - z1$); + 1/2[z3$.l,z4$.l] = lc; + z5$ = z0$.r + whatever * (z2$ - z0$); + z5$ = z1$.r + whatever * (z2$ - z1$); + + if closed: + penpos6$(thick, angle(rc - lc)); + penpos7$(thick, angle(rc - lc)); + z6$.l = whatever[z0$.l,z3$.l]; + z6$.r = whatever[z0$.r,z1$.r]; + z7$.l = whatever[z1$.l,z4$.l]; + z7$.r = whatever[z0$.r,z1$.r]; + fi; + + penlabels(0$,1$,3$,4$,5$,6$,7$); +enddef; + +def draw_prec(suffix $)(expr lc, rc, spread, thick, closed) = + theta := 43; + + z0$ - z1$ = spread * dir (angle (rc - lc) + 90); + 1/2[z0$.r,z1$.l] = rc; + z2$ = lc; + z2$' = lc + 1/2thick * dir angle(rc - lc); + + penpos0$(thick, angle(rc - lc) - theta); + penpos1$(thick, angle(rc - lc) + 180 + theta); + penpos2$(thick, angle(rc - lc) - 90); + penpos2$'(thick, angle(rc - lc) - 90); + + fill stroke z2$.e -- z2$'.e{dir angle(rc - lc)} .. {dir (angle (rc - lc) + 90 - theta)}z0$.e; + fill stroke z2$.e -- z2$'.e{dir angle(rc - lc)} .. {dir (angle (rc - lc) - 90 + theta)}z1$.e; + + if closed: + z3$ = point 1/2 of (z0${dir (angle (rc - lc) - 90 - theta + 10)} + .. {dir (angle (rc - lc) - 90 + theta - 10)}z1$); + penpos3$(thick, angle(rc - lc)); + + fill z0$.l .. z3$.l .. z1$.r -- z1$.l .. z3$.r .. z0$.r -- cycle; + fi; + + penlabels(0$,1$,2$,3$); +enddef; + +def draw_subset(suffix $)(expr lc, rc, spread, thick) = + 1/2[z0$,z1$] = rc; + 1/2[z2$,z3$] = (4spread / 9abs(rc - lc))[z4$, rc]; + z0$ - z1$ = z2$ - z3$ = spread * dir (angle (rc - lc) + 90); + z4$ = lc + 1/2thick * dir (angle (rc - lc)); + + penpos0$(thick, angle(rc - lc) - 90); + penpos1$(thick, angle(rc - lc) + 90); + penpos2$(thick, angle(rc - lc) - 90); + penpos3$(thick, angle(rc - lc) + 90); + penpos4$(thick, angle(rc - lc)); + + fill stroke z0$.e -- z2$.e{lc - rc} .. z4$.e .. {rc - lc}z3$.e -- z1$.e; + + penlabels(0$,1$,2$,3$,4$) +enddef; + +def draw_smile(suffix $)(expr sign, lc, rc, spread, thick, round) = + z0$ = lc + sign * 1/2spread * dir (angle(rc - lc) + 90) + + whatever * (rc - lc); + z0$.l = lc + whatever * dir (angle(rc - lc) + 90); + z1$ = rc + sign * 1/2spread * dir (angle(rc - lc) + 90) + + whatever * (rc - lc); + z1$.l = rc + whatever * dir (angle(rc - lc) + 90); + z2$ = 1/2[lc,rc] - sign * 1/2spread * dir (angle(rc - lc) + 90); + + if round: + theta := angle (length(lc - rc), 5spread); + else: + theta := angle (length(lc - rc), 2spread); + fi; + + penpos0$(thick, angle(rc - lc) + sign * (90 - theta)); + penpos1$(thick, angle(rc - lc) + sign * (90 + theta)); + + if round: + penpos2$(thick, angle(rc - lc) + sign * 90); + + fill stroke z0$.e{dir (angle(rc - lc) - sign * theta)} .. + {rc - lc}z2$.e{rc - lc} .. {dir (angle(rc - lc) + sign * theta)}z1$.e; + else: + penpos2$(thick / cosd theta, angle(rc - lc) + sign * 90); + + fill stroke z0$.e -- z2$.e -- z1$.e; + fi; + + penlabels(0$, 1$, 2$); +enddef; + +def stroke_through_angle(expr pos, spread, angle) = + begingroup; + stroke_len := 1/2spread / cosd (90 - angle); + z100 = pos + stroke_len * dir angle; + z101 = pos - stroke_len * dir angle; + draw_line_cut_linethick(100,101)(stroke_through_thickness); + endgroup; +enddef; + +def stroke_through(expr pos, spread) = + stroke_through_angle(pos, spread, 75); +enddef; + +def stroke_through_arrow(expr pos, alpha, spread)(text angles) = + begingroup; + stroke_dir := alpha + select(alpha / 45)(angles); + stroke_len := 1/2spread / sind (stroke_dir - alpha); + + z102 = pos + stroke_len * dir stroke_dir; + z103 = pos - stroke_len * dir stroke_dir; + draw_line_cut_linethick(102,103)(stroke_through_thickness); + endgroup; +enddef; + +def draw_product(expr centre, width, height, sign, thick) = + thin := thick; + + z1r - z0r = z3r - z2r = width * right; + z2r - z0r = sign * (height - thin) * up; + 1/2[1/2[z0l,z1l], 1/2[z2r,z3r]] = centre; + z4 = z0 + min(5thin, 2/5width) * right; + z5 = z1 + min(5thin, 2/5width) * left; + z6 = 1/2[z0l,z4l]; + z7 = 1/2[z1l,z5l]; + x8 = 1/2[x0,x4]; + x9 = 1/2[x1,x5]; + y8 = y9 = y2l; + + penpos0(thin, sign * 100); + penpos1(thin, sign * 80); + penpos2(thin, sign * 90); + penpos3(thin, sign * 90); + penpos4(thin, sign * 80); + penpos5(thin, sign * 100); + penpos6(thick, 0); + penpos7(thick, 0); + penpos8(thick, 0); + penpos9(thick, 0); + + y10 = y11 = y2r - sign * 1/2[thin,thick]; + x10 = x6r; + x11 = x7l; + + fill z6r -- z8r -- z9l -- z7l -- z7r -- z9r -- z3l -- z3r -- z2r -- z2l -- z8l -- z6l --cycle; + +% fill z0l -- z4l -- z4r{dir (sign * 160)} .. {sign * up}z6r -- z10 -- z11 -- z7l{sign * down} .. {dir (-sign * 160)}z5r -- z5l -- z1l -- z1r{dir (sign * 160)} .. {sign * up}z7r -- z9r{sign * up} .. {dir (sign * 15)}z3l -- z3r -- z2r -- z2l{dir (-sign * 15)} .. {sign * down}z8l -- z6l{sign * down} .. {dir (-sign * 160)}z0r -- cycle; + + penlabels(0,1,2,3,4,5,6,7,8,9,10,11); +enddef; + +def draw_sum(suffix $)(expr centre, width, height, thick) = + thin := 4/5thick; + + z1$l - z0$l = z3$l - z2$l = width * right; + z2$l - z0$l = height * up; + 1/2[1/2[z0$l,z1$l], 1/2[z2$l,z3$l]] = centre = z4$; + + penpos0$(thin, 90); + penpos1$(thick, 90); + penpos2$(thin, -90); + penpos3$(thick, -90); + + penpos4$(thick/sind(angle(z4$-z0$)), 0); + + y5$r = y0$l + thick; y6$r = y2$l - thick; + z5$r = whatever[z0$r,z4$l]; z6$r = whatever[z2$r,z4$l]; + + penpos5$(thick/sind(angle(z4$-z0$)), 180); + penpos6$(thick/sind(angle(z4$-z0$)), 180); + + fill z1$r -- z1$l -- z0$l -- z0$r -- z4$l -- z2$r -- z2$l -- z3$l -- z3$r -- z6$l -- z4$r -- z5$l -- cycle; + + penlabels(0$,1$,2$,3$,4$,5$,6$); +enddef; + +def draw_integral(suffix $)(expr scale, centre, thick) = + penpos0$(thick, 0); + penpos1$(thick, 0); + penpos2$(6/7thick, -90); + penpos3$(thick, 0); + penpos4$(6/7thick, -90); + + z0$ = 1/2[z1$,z3$] = 1/2[z2$,z4$]; + z1$ - z3$ = whatever * dir 79; + z2$ - z4$ = whatever * dir 70; + + x0$ = xpart centre; + y2$l = h; + y4$r = -d; + y1$ = 1/2[y0$,y2$]; + + penpos5$(1.05*6/7thick/sind 70,-105); + penpos6$(1.05*6/7thick/sind 70,-105); + + y5$l = y2$l - 0.2thick; + x5$r = 5/4[x1$, x2$] + 0.2thick; + y6$r = y4$r + 0.2thick; + x6$r = 6/4[x3$, x4$] - 0.2thick; + + ucorr := max (x2$r, x1$r + 1/4thick) - x2$r; + x2$ := x2$ + ucorr; + x2$l := x2$l + ucorr; + x2$r := x2$r + ucorr; + x5$ := x5$ + ucorr; + x5$r := x5$r + ucorr; + x5$l := x5$l + ucorr; + + lcorr := min (x4$l, x1$l - 1/4thick) - x4$l; + x4$ := x4$ + lcorr; + x4$l := x4$l + lcorr; + x4$r := x4$r + lcorr; + x6$ := x6$ + lcorr; + x6$r := x6$r + lcorr; + x6$l := x6$l + lcorr; + + fill z5$l .. {left}z2$l{left} .. {dir angle(z0$-z1$)}z1$l -- z3$l{dir angle(z0$-z1$)} ... z4$l{left} .. z6$l -- z6$r + .. {right}z4$r{right} .. {dir angle(z1$-z0$)}z3$r -- z1$r{dir angle(z1$-z0$)} ... z2$r{right} .. z5$r -- cycle; + + penlabels(0$,1$,2$,3$,4$,5$,6$); +enddef; + +def draw_arrowhead_left(expr pos, angle, spread, thick) = + begingroup; + pair p[], p[].l, p[].r; + + p1 = pos; + p2 = pos + sqrt(2) * (spread + thick)/2 * dir (angle + 135); + 1/2[p1.l, p1.r] = p1; + 1/2[p2.l, p2.r] = p2; + p1.r - p1 = thick/(2 * sind 45) * dir angle; + p2.r - p2 = thick/(2 * sind 45) * dir angle; + p3.l = whatever[p2.l,p1.l]; + p3.l = pos + 1/2thick * dir (angle - 90) + whatever * dir angle; + p3.r - p1.r = whatever * dir (angle - 90); + p3.r = pos + 1/2thick * dir (angle - 90) + whatever * dir angle; + fill p1.r -- p2.r -- p2.l -- p3.l -- p3.r -- cycle; + endgroup; +enddef; + +def draw_arrowhead_right(expr pos, angle, spread, thick) = + begingroup; + pair p[], p[].l, p[].r; + + p1 = pos; + p2 = pos + sqrt(2) * (spread + thick)/2 * dir (angle - 135); + 1/2[p1.l, p1.r] = p1; + 1/2[p2.l, p2.r] = p2; + p1.r - p1 = thick/(2 * sind 45) * dir angle; + p2.r - p2 = thick/(2 * sind 45) * dir angle; + p3.l = whatever[p2.l,p1.l]; + p3.l = pos + 1/2thick * dir (angle + 90) + whatever * dir angle; + p3.r - p1.r = whatever * dir (angle + 90); + p3.r = pos + 1/2thick * dir (angle + 90) + whatever * dir angle; + fill p1.r -- p3.r -- p3.l -- p2.l -- p2.r -- cycle; + endgroup; +enddef; + +def draw_arrowhead(expr pos, angle, spread, thick) = + begingroup; + pair p[], p[].l, p[].r; + + p1 = pos; + p2 = pos + sqrt(2) * (spread+thick)/2 * dir (angle + 135); + p3 = pos + sqrt(2) * (spread+thick)/2 * dir (angle - 135); + 1/2[p1.l, p1.r] = p1; + 1/2[p2.l, p2.r] = p2; + 1/2[p3.l, p3.r] = p3; + p1.r - p1 = thick/(2 * sind 45) * dir angle; + p2.r - p2 = thick/(2 * sind 45) * dir (angle); + p3.r - p3 = thick/(2 * sind 45) * dir (angle); + + fill p1.r -- p2.r -- p2.l -- p1.l -- p3.l -- p3.r -- cycle; + endgroup; +enddef; + +% intersect the arrowhead curve with a path +def arrowhead_intersection(expr pos, angle, spread, p) = + (p intersectionpoint + ((pos + sqrt(2) * spread/2 * dir (angle + 135)) -- + pos -- (pos + sqrt(2) * spread/2 * dir (angle - 135))) + ) +enddef; + +def draw_bracket(expr sign, thick, draw_top, draw_mid, draw_bot, draw_double) = + penpos0(thick, 90 - sign * 90); + penpos1(thick, 90 - sign * 90); + penpos2(thick, 90); + penpos3(thick, 90); + penpos4(thick, 90); + penpos5(thick, 90); + penpos6(thick, 0); + penpos7(thick, 0); + + x3 - x2 = x5 - x4 = sign * (w - 2side_bearing); + 1/2[x2,x3] = w/2; + + if draw_top: + y1 = h; + else: + y1 = h + 1/2line_thickness; + fi; + + if draw_bot: + y0 = -d; + else: + y0 = -d - 1/2line_thickness; + fi; + + x1 = x0; + z6 = 1/2[z2l,z3l] + sign * 1/2thick * right; + z7 = 1/2[z4r,z5r] + sign * 1/2thick * right; + y2l = y3l; + y4r = y5r; + z2l = z0l; + z4r = z1l; + + if draw_mid: + fill stroke z0e -- z1e; + else: + if draw_bot: fill stroke z0e -- z0e + (w - 2side_bearing) * up; fi; + if draw_top: fill stroke z1e -- z1e + (w - 2side_bearing) * down; fi; + fi; + if draw_top: fill stroke z4e -- z5e; fi; + if draw_bot: fill stroke z2e -- z3e; fi; + if draw_double: fill stroke z6e -- z7e; fi; +enddef; + +def draw_angle(suffix $)(expr shift, sign, thick) = + x0$ = x1$ = x2$ + sign * (w - 2side_bearing -2abs shift - thick); + + top y1$ = h; + bot y0$ = -d; + 1/2[y0$,y1$] = y2$; + 1/2[x0$,x2$] = w/2 + shift; + + theta := angle(z0$ - z2$); + + penpos0$ (thick, 0); + penpos1$ (thick, 0); + penpos2$ (thick / abs(sind theta), 0); + + fill stroke z0$e -- z2$e -- z1$e; + + penlabels(0$, 1$, 2$); +enddef; + +def draw_paren(expr sign, thick) = + penpos0(thick, 90 - sign * 90); + penpos1(thick, -90 + sign * 90); + penpos2(1.1thick, 90 - sign * 90); + + if sign = 1: + x2l = side_bearing; + x1r = x0r = w - side_bearing; + else: + x1r = x0r = side_bearing; + x2l = w - side_bearing; + fi + y1.l = h; + y0.l = -d; + 1/2[y0,y1] = y2; + + fill stroke z0e .. z2e .. z1e; + + penlabels(0,1,2); +enddef; + +def draw_brace(expr centre, size, width, alpha, thick, top_size, mid_size, bot_size) = + penpos1(5/6thick, alpha + 90); + penpos2(thick, alpha); + penpos2'(thick,alpha); + penpos3(thick, alpha); + penpos3'(thick,alpha); + penpos4(11/12thick, alpha+90); + penpos5(thick, alpha+180); + penpos5'(thick, alpha+180); + penpos6(thick, alpha+180); + penpos6'(thick, alpha+180); + penpos7(5/6thick, alpha+90); + + z1r - z7l = size * dir (alpha + 90); + + centre - 1/2[z1,z7] = z4 - centre = width/2 * dir alpha; + + z0 = centre; + + z3 = z0 + (1/3width + 1/2thick) * dir (alpha + 90); + z5 = z0 - (1/3width + 1/2thick) * dir (alpha + 90); + + z2 = z0 + (size/2 - 1/3width - thick) * dir (alpha + 90); + z6 = z0 - (size/2 - 1/3width - thick) * dir (alpha + 90); + + z3' = z0 + (mid_size/2 + 1/2line_thickness) * dir (alpha + 90); + z5' = z0 - (mid_size/2 + 1/2line_thickness) * dir (alpha + 90); + + z2' = z0 + (size/2 - top_size - 1/2line_thickness) * dir (alpha + 90); + z6' = z0 - (size/2 - bot_size - 1/2line_thickness) * dir (alpha + 90); + + beta := 0; + + if top_size > 0: + fill stroke z1e{dir alpha} .. {dir (alpha - 90)}z2e -- z2'e; + penlabels(1,2,2'); + elseif bot_size > 0: + fill stroke z7e{dir alpha} .. {dir (alpha + 90)}z6e -- z6'e; + penlabels(6',6,7); + elseif mid_size > 0: + fill stroke z3'e -- z3e{dir (alpha - 90)} .. {dir alpha}z4e; + fill stroke z5'e -- z5e{dir (alpha + 90)} .. {dir alpha}z4e; + penlabels(3',3,4,5,5'); + else: + fill stroke z1e{dir alpha} .. z2e{dir (alpha - 90)} -- z3e{dir (alpha - 90)} .. z4e{dir alpha}; + fill stroke z7e{dir alpha} .. {dir (alpha + 90)}z6e -- z5e{dir (alpha + 90)} .. {dir alpha}z4e; + penlabels(1,2,3,4,5,6,7); + fi; +enddef; + +def draw_root(expr thick) = + penpos0(rule_thickness, -90); + penpos0'(rule_thickness, -90); + + y0l = h; + x0 = w; + z0' = z0 + 1/2line_thickness * right; + y1 = -d; + x1 = 4/9w; + x2r = 2/9w + 1/2thick; + y2r = 1/2[y0, y1]; + z1' = z1 + thick * right; + y6 = h; + z6 = z0r + thick/sind(angle(z0r - z1')) * left + whatever * (z0r - z1'); + + penpos2(thick/abs(sind(angle(z1'-z2r))), 0); + penpos3(1/2thick, angle (z1 - z2l)); + + z1'' = z1' - thick/abs(sind(angle(z1' - z2r))) * right; + + z3l = z2r + 3/2thick * dir (angle (z1 - z2l) - 90); + z4 = z6 + whatever * (z0r - z1') = z2r + whatever * (z2r - z1'); + z5 = whatever[z2l, z1''] = z3r + whatever * dir (angle (z1'' - z2l) - 90); + + fill z3r -- z5 -- z1'' -- z1' -- z0r -- z0'r -- z0'l -- z6 -- z4 -- z2r -- z3l -- cycle; + + penlabels (0,0',1,1',1'',2,3,4,5,6); +enddef; + +def draw_root_top(expr thick) = + y0 = h - 1/2rule_thickness; + x0 = w; + y1 = -d; + x1 = x2 = 4/9w + 1/2thick; + y2 = h - 1/2thick; + + draw_straight(z1, z2, thick, true); + draw_straight((x1,y0), z0, rule_thickness, true); +enddef; + +def draw_root_bot(expr thick) = + penpos0(thick, 0); + penpos0'(thick, -90); + + y0 = h + 1/2thick; + x0l = x1; + y1 = -d; + x1 = 4/9w; + x2r = 2/9w + 1/2thick; + y2r = 1/2[y0, y1]; + z1' = z1 + whatever * right; + x1' = x0r; + + penpos2(thick/abs(sind(angle(z1'-z2r))), 0); + penpos3(1/2thick, angle (z1 - z2l)); + + z1'' = z1' - thick/abs(sind(angle(z1' - z2r))) * right; + + z3l = z2r + 3/2thick * dir (angle (z1 - z2l) - 90); + z4 = z0l + whatever * up = z2r + whatever * (z2l - z1); + z5 = whatever[z2l, z1''] = z3r + whatever * dir (angle (z1'' - z2l) - 90); + + fill z3r -- z5 -- z1 -- z1' -- z0r -- z0l -- z4 -- z2r -- z3l -- cycle; + + penlabels (0,1,1',1'',2,3,4,5); +enddef; + +% Weierstrass macros + +def ellipse_set(suffix $,@,@@,$$) = + % given |z$,x@,z$$|, find |y@| and |z@@| + % such that the path |z${x@-x$,0}..z@{0,y@-y$}..{z$$-z@@}z@@| + % is consistent with an ellipse + % and such that the line |z@@--z$$| has a given |slope| + alpha_ := slope * (x@ - x$); + beta_ := y$$ - y$ - slope * (x$$ - x$); + gamma_ := alpha_ / beta_; + y@ - y$ = .5(beta_ - alpha_ * gamma_); + x@@ - x$ = -2gamma_ * (x@ - x$) / (1 + gamma_ * gamma_); + y@@ - y$$ = slope * (x@@ - x$$) +enddef; + +vardef super_arc.r(suffix $,$$) = + % outside of super-ellipse + + pair centre, corner; + + if y$ = y$r: + centre = (x$$r, y$r); + corner = (x$r, y$$r); + else: + centre = (x$r, y$$r); + corner = (x$$r, y$r); + fi + z$.r{corner - z$.r} ... superness[centre,corner]{z$$.r - z$.r} + ... {z$$.r - corner}z$$.r +enddef; + +vardef super_arc.l(suffix $,$$) = + % inside of super-ellipse + + pair centre, corner; + if y$ = y$r: + centre = (x$$l, y$l); + corner = (x$l, y$$l); + else: + centre = (x$l, y$$l); + corner = (x$$l, y$l); + fi + z$l{corner - z$l} ... superness[centre,corner]{z$$l - z$l} + ... {z$$l - corner}z$$l +enddef; + +vardef pulled_super_arc.r(suffix $,$$)(expr superpull) = + pair centre, corner; + + if y$ = y$r: + centre = (x$$r, y$r); + corner = (x$r, y$$r); + else: + centre = (x$r, y$$r); + corner = (x$$r, y$r); + fi + z$r{corner - z$r} ... superness[centre,corner]{z$$r - z$r} + ... {z$$r - corner}z$$r +enddef; + +vardef pulled_super_arc.l(suffix $,$$)(expr superpull) = + pair centre, corner, outer_point; + + if y$ = y$r: + centre = (x$$l, y$l); + corner = (x$l, y$$l); + outer_point = superness[(x$$r, y$r), (x$r, y$$r)]; + else: + centre = (x$l, y$$l); + corner = (x$$l, y$l); + outer_point = superness[(x$r, y$$r), (x$$r, y$r)]; + fi + z$l{corner - z$l} + ... superpull[superness[centre,corner], outer_point]{z$$l - z$l} + ... {z$$l - corner}z$$l +enddef; + +vardef pulled_arc@#(suffix $,$$) = + pulled_super_arc@#($,$$)(superpull) +enddef; |