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% ---------------------------------------------------------------------------
% This is PL_DOD.MF ({\bif{}dodatkowy}, i.e., additional file for the Polish
% extension of CM family) in text format.
% ---------------------------------------------------------------------------
% PL VERSION 1.09, April 13th, 2001 -- released for BachoTeX 2001
% ---------------------------------------------------------------------------
% AUTHORS: {\bif{}Bogus\l{}aw Jackowski \& Marek Ry\'cko}
% ---------------------------------------------------------------------------
% This file belongs to the public domain under conditions similar to
% those of D. E. Knuth specified for the Computer Modern family of fonts.
%
% In particular, only the authors are entitled to modify this file.
%
% For details see either the file MEXINFO.POL or MEXINFO.ENG.
% ---------------------------------------------------------------------------
%%{\let\:\sl
%\: This file provides accessories for making Polish diacritical characters:
%\: acute accent for |"C"|, |"N"|, |"L"|, |"S"|, |"Z"|, dot accent for |"Z"|,
%\: cross for |"L"| and ogonek for |"A"| and |"E"|. In order to avoid extra
%\: parameters (62 should be enough) the macros do a lot of ``clever'' stuff,
%\: trying to figure out needed dimensions. This is not always a trivial
%\: task and in some cases such extra parameters may prove to be unavoidable.
%\: Several additional parameters may be assigned a value, prior to reading
%\: the driver file, in order to override the default behaviour.
%\: One of them is
%\: --- the factor controlling the slope of accents over majuscules,
%\: |cap_flat|; if the default slope is, say, $\beta$, the resulting
%\: slope is equal to |(1-cap_flat)*|$\beta$; this parameter is used
%\: in the sources of the following fonts:
%\ PLCSC10, PLDUNH10, PLTCSC10
%\: Unexpectedly difficult to program turned out to be ogoneks. We decided
%\: that the best looking are ogoneks such that a single B\`ezier segment
%\: describes each of ogonek's edges. This necessitated introducing many
%\: parameters controlling the positions of control points (for more details
%\: see comments in the section ``OGONEK ACCESSORIES''). All these
%\: (optional) parameters may be splitted into three groups of importance:
%\: primary, secondary and tertiary. The primary parameters are intended
%\: to be ``normally'' accessible to users, the secondary ones---only in
%\: case of emergency, the tertiary ones---rather not at all.
%\: The primary parameters are:
%\: --- the factor controlling the depth of ogoneks, |depth_corr|; the
%\: resulting depth is equal to |depth_corr*desc_depth#| if the value
%\: of |depth_corr| is known, |desc_depth#| otherwise
%\: --- the factor controlling the leftmost and tip positions
%\: of an ogonek, |left_corr|, |tip_xcorr| and |tip_ycorr|;
%\: the default distances are scaled using the values of the
%\: corresponding parameters
%\: --- the scaling factor for the top and tip breadths of an ogonek,
%\: |top_breadth_corr|, |tip_breadth_corr|
%\: Some of the primary parameters are used in the sources of the following
%\: fonts:
% PLB10, PLBX5, PLBX6, PLBX7, PLBX8, PLFI10, PLITT10, PLR5, PLR6, PLR7,
% PLR8, PLR9, PLR12, PLR17, PLSL8, PLSL9, PLSL12, PLSSQ8, PLSSQI8, PLTI7,
% PLTI8, PLTI12, PLVTT10
%\: The following four parameters we regard as of a secondary importance:
%\: --- the pen ogoneks are to be filled with, |ogonek_pen#| (this is
%\: the only sharp ogonek parameter and is used in the sources of
%\: the {\commfont{}PLFF10} and {\commfont{}PLFI10} fonts)
%\: --- the darkness of ogoneks may be controlled using two parameters,
%\: |0<pre_lightness<1| and |0<post_lightness<1|, referring to the top
%\: and tip of an ogonek, respectively; used in {\commfont{}PLB10.MF}
%\: --- next two parameters, |pre_deflexion| and |post_deflexion|, control
%\: a rather small deflexion angle (in degrees) of the inner ogonek
%\: outline as compared to the outer one; they refere to the top and
%\: tip of an ogonek, respectively
%\: The complete list of `ogonek' parameters can be found in the section
%\: ``OGONEK ACCESSORIES.''
%\: There is one more (rather unimportant) parameter, |is_smoke|. If this
%\: variable is assigned a known value, `smoked' proofs will not contain
%\: a rule marking the height of accented letters.
%%}
% ---------------------------------------------------------------------------
% ---------------------------------------------------------------------------
% LAYOUT SETUP:
% (A MIXTURE OF EXTENDED CM, EXTENDED ASCII, AND ``LOCAL'')
% ---------------------------------------------------------------------------
% Polish letters are in the positions of extended CM layout:
def polish_uc_positions =
ogonked_A:=oct"201"; % 129
accented_C:=oct"202"; % 130
ogonked_E:=oct"206"; % 134
crossed_L:=oct"212"; % 138
accented_N:=oct"213"; % 139
accented_O:=oct"323"; % 211
accented_S:=oct"221"; % 145
accented_Z:=oct"231"; % 153
dotted_Z:=oct"233"; % 155
enddef;
def polish_lc_positions =
ogonked_a:=oct"241"; % 161
accented_c:=oct"242"; % 162
ogonked_e:=oct"246"; % 166
crossed_l:=oct"252"; % 170
accented_n:=oct"253"; % 171
accented_o:=oct"363"; % 243
accented_s:=oct"261"; % 177
accented_z:=oct"271"; % 185
dotted_z:=oct"273"; % 187
enddef;
% French quotation marks are in the positions of extended ASCII layout,
% while Polish opening quotation mark is in the position of ASCII 255:
def quotes_positions =
french_opening_quotes:=174; % <<
french_closing_quotes:=175; % >>
% exceptionally:
polish_opening_quotes:=255; % ,,
enddef;
polish_uc_positions; polish_lc_positions; quotes_positions;
% ---------------------------------------------------------------------------
% EXTRA PARAMETERS
% ---------------------------------------------------------------------------
% The variable |improve_kerns| should not be set to |true| if one wants
% to have PL fonts compatible with respective CM ones; thus the commands
% |if improve_kerns| ... |fi| may be regarded as comments (see also the files
% POLAN.MF, POLKUR.MF, POLTYT.MF and POLKAP.MF).
if unknown improve_kerns: boolean improve_kerns; improve_kerns=false; fi;
if unknown is_small_cap: boolean is_small_cap; is_small_cap=false; fi;
% The variable |limit_dist| is used in an argument to |put_cross| in
% PL_DL.MF, PL_ML.MF, and PL_MLK.MF. It was introduced because of some
% funny (although troublesome) fonts. The value of |u| is corrected by
% |adjust_fit|, hence |limit_dist| is defined useng |vardef| and |u#|
vardef limit_dist = 5/4u#*hppp enddef;
% The proportion of |vair/stem| depends drastically on resolution;
% e.g., for 300 dpi cmbx10 |vair=1| and |stem=5|, for 746 dpi cmbx10
% (300 dpi, magstep 5) |vair=4| and |stem=12|, while, sharply speaking,
% |stem#/vair#=3.15381|; hence a new variable |xvair| has been introduced
% to be used in some crucial places instead of |vair|.
vardef xvair = stem*vair#/stem# enddef;
% In particular, |qvair| (``quote vair'') is defined using |xvair|.
vardef qvair = max(round(xvair),fine+epsilon) enddef;
% ---------------------------------------------------------------------------
% GENERAL PURPOSE ACCESSORIES
% ---------------------------------------------------------------------------
vardef is_egyptian =
% |false| for most of the CM fonts, except funny fonts;
% |true| for the CC fonts
serifs and (1.4max(fine#,crisp#, tiny#)<slab#) and (1.6slab#>stem#)
enddef;
vardef is_bold = if serifs: (hair#+.5stem#)>1.5u# else: stem#>2u# fi\\ enddef;
vardef is_cap =
(charcode=ogonked_A) or (charcode=accented_C) or (charcode=ogonked_E)\\ or
(charcode=crossed_L) or (charcode=accented_N) or (charcode=accented_O)\\ or
(charcode=accented_S) or (charcode=accented_Z) or (charcode=dotted_Z)
enddef;
%%% top is_known
%%% top fix_virgin
vardef is_known z suffix $ =
% an auxiliary macro for |fix_virgin z|, used also while constructing ogoneks
(known x$) or (known x$l) or (known x$r)\\ or
(known y$) or (known y$l) or (known y$r)
enddef;
vardef fix_virgin z = % find a pair of virgin pairs
numeric ii,jj; jj:=1;
forever:
if is_known z[jj] or is_known z[jj+1]: % unknown gaps may occur
jj:=incr jj else: jj=ii fi; exitif known ii;
endfor;
jj:=ii+1;
% now |ii+1=jj| and |z[ii]| and |z[jj]| are ``untouched''
enddef;
%%% italcorr corrital
% correction of italic correction (cf. D. E. Knuth, The \MF{}book, p. 105):
vardef corrital z suffix $ =
% |z$| is the rightmost position of a pen (in accent path)
if known sharp_calc:
if not monospace:
save charic_; charic_=(rt(x$)-r)/hppp+slant*y$/vppp+.5u#;
if charic_>charic: charic:=charic_; fi
fi
%| else: %| |charic=mono_charic#|, do nothing
fi
enddef;
%%% fine hi higher
% |higher| is a counterpart to |lower| (see the file POLKAP.MF),
% |hi| facilitates using higher values (which are reference points in
% the floating world of CM fonts)
def hi = if is_small_cap: higher fi\\ enddef;
%%% top prepare_pen
def prepare_pen suffix $ =
%%% fine $ %%%% temporary MFT convention
if $>fudged.hair: $:=fudged.hair; fi
$.breadth:=$;
pickup if $=0: nullpen else: pencircle scaled $; $:=$-eps fi;
$.nib:=savepen; breadth_[$.nib]:=$;
forsuffixes $$=lft,rt,top,bot: shiftdef($.$$,$$ 0); endfor
%%% qq $ %%%% ordinary MFT convention
enddef;
% ---------------------------------------------------------------------------
% ACCENT ACCESSORIES
% ---------------------------------------------------------------------------
% |the_cap_flat| is a factor controlling the flatness of accents over
% majuscules; a default value may be overriden by assigning a value to the
% variable |cap_flat| (cf. also |the_|... macros in ogonek accessories).
vardef the_cap_flat =
if known cap_flat: cap_flat elseif serifs and hefty: 1/5 else: 1/3 fi
enddef;
% ---------------------------------------------------------------------------
% The |hpos_corr| variable is an optional parameter to |put_ogonek|, meant
% to be set locally inside |beginchar| ... |endchar|, if a horizontal
% correction of the accent position is needed:
numeric hpos_corr;
% ---------------------------------------------------------------------------
%%%% temporary MFT convention:
%%% top x_height diam a_wd a_ht i_ht u asc_height cap_A_wd
% width of the acute accent:
vardef a_wd@# = 9hi.u@# enddef;
% height of the acute accent:
vardef a_ht@# = min(asc_height@#,2hi.x_height@#) enddef;
% height of the letter `i':
vardef i_ht@#(suffix diam) =
if is_small_cap: a_ht@# % usually there is no dot over a small cap `i'
else: min(asc_height@#, 10/7hi.x_height@#+.5diam@#) fi
enddef;
% width of the letter `A' (used in |put_ogonek|):
vardef cap_A_wd@# = 13u@# enddef;
%%%% ordinary MFT convention:
%%% qq x_height diam a_wd a_ht i_ht u asc_height cap_A_wd
def mark_height(expr sharp_h)=
% |sharp_h| is the height of an accented minuscule
if known sharp_calc:
charht:=if is_cap: h/vppp else: sharp_h fi;
if\\ (proofing>0) and is_cap:
% BJ likes to have proofs vertically aligned (somehow):
proofoffset(0,h-charht*vppp-1mm);
fi
fi
% say earlier, e.g., |is_smoke=1| if you're making `smoked' proofs
% and you don't like to have a rule marking the height
if unknown is_smoke:
if proofing>0: proofrule((l+w/2,charht*hppp)t_,(r+u,charht*hppp)t_); fi
if displaying>0: screenrule((l+w/2,charht*hppp)t_,(r+u,charht*hppp)t_); fi
fi
enddef;
def fix_acc_pairs =
fix_virgin z;
begingroup
% excerpt from |beginchar|:
save w,h; w=round(a_wd); h=round(a_ht);
% excerpt from |mono_adjust|:
if monospace:
save u_; numeric u_; u_:=hi.u#; save u; u#:=u_;
numeric expansion_factor;
mono_charwd#=2 hi.letter_fit#+expansion_factor*a_wd#;
hi.u:=u#*expansion_factor*hppp;
w:=mono_charwd-shrink_fit-2 hi.letter_fit;
fi
% end of the excerpts
numeric accent_gap,mid_stem; mid_stem=2/3[stem,hi.stem];
if serifs:
pickup crisp.nib;
x[jj]'=hround(w-2hi.u)-.5mid_stem; x[jj]':=x[jj]'-2/3[x[jj]',w-x[jj]'];
y[jj]'=h-.5mid_stem+eps-max(2/3[h,hi.x_height],hi.x_height+o+hair);
accent_gap=a_ht-(y[jj]'+.5mid_stem)-hi.x_height;
bot z[ii]=round(accent_hpos,
accent_gap+if is_cap: cap_height else: hi.x_height fi);
z[jj]=z[ii]+(z[jj]'
if is_cap: rotated (-the_cap_flat*angle(z[jj]')) fi);
numeric theta; theta=angle(z[ii]-z[jj])+90;
pos[jj](mid_stem,theta); pos[ii](hair,theta);
else:
pickup fine.nib;
rt x[jj]'r=hround(.5w-1.25hi.u);
top y[jj]'=h-vround(2/3[h,hi.x_height]);
z[ii]'=origin; pos[jj]'(mid_stem,0); pos[ii]'(vair,0);
accent_gap=a_ht-y[jj]'-hi.x_height;
if is_cap:
numeric beta; beta=-the_cap_flat*angle(z[jj]'-z[ii]');
z[ii]=round(accent_hpos,accent_gap+cap_height);
z[jj]=z[ii]+(z[jj]' rotated beta);
y[jj]r=y[jj]l=y[jj]; y[ii]r=y[ii]l=y[ii];
for xx:=jj,ii: forsuffixes $:=l,r:
(z[xx]$-z[ii]) rotated -beta=whatever[z[jj]'$,z[ii]'$];
endfor\\ endfor
else:
for xx:=jj,ii: forsuffixes $:=r, ,l:
z[xx]$=z[xx]'$+round(accent_hpos,
accent_gap+if is_small_cap: cap_height else: x_height fi);
endfor\\ endfor
fi
fi
endgroup;
enddef;
def fix_acc_top =
save accent_hpos; accent_hpos=0; % the value does not matter here
fix_acc_pairs; % |fix_acc_pairs| uses private values of |w|, |h| \& |u|
% |z[ii]$| and |z[jj]$| (|$= ,r,l|) are fixed temporarily, will be released
% fix the y coordinate of the top point of accent:
if serifs:
pickup crisp.nib;
y.a_top:=ypart(directionpoint left of
(z[jj]r{z[jj]r-z[ii]r}..{z[ii]l-z[jj]l}z[jj]l)); y'a_top:=top y.a_top;
else:
pickup fine.nib; y.a_top:=ypart(z[jj]r); y'a_top:=top y.a_top;
fi
% release |z[ii]$| and |z[jj]$| (|$= ,r,l|):
forsuffixes $= ,r,l:
x[ii]$:=whatever; y[ii]$:=whatever; x[jj]$:=whatever; y[jj]$:=whatever;
endfor
enddef;
def put_accent =
numeric accent_hpos;
accent_hpos=.5w - if is_cap: .75 else: .5 fi\\ u
if known hpos_corr: +hpos_corr fi;
fix_acc_pairs; % |fix_acc_pairs| uses private values of |w|, |h| \& |u|
numeric hpos_corr; % |hpos_corr| is local: forget its value
% draw the diagonal:
if serifs:
pickup crisp.nib; filldraw circ_stroke (z[jj]e--z[ii]e);
z.right=directionpoint up of (z[jj]r{z[jj]r-z[ii]r}..{z[ii]l-z[jj]l}z[jj]l);
z.top=directionpoint left of (z[jj]r{z[jj]r-z[ii]r}..{z[ii]l-z[jj]l}z[jj]l);
else:
pickup fine.nib; filldraw stroke (z[jj]e--z[ii]e);
z.right=z.top=z[jj]r;
fi
corrital z.right; % correct italic correction
% adjust height (the same height is used in the program for the dotted `Z'):
h:=if is_cap: y.top else: a_ht fi;
mark_height(a_ht#);
penlabels([ii],[jj]);
enddef;
% ---------------------------------------------------------------------------
% DOT ACCENT ACCESSORIES
% ---------------------------------------------------------------------------
%%% good penkind
def put_dot (suffix penkind) (expr sharp_d_d) = % the dot of the lc letter `i'
% assumptions: for lowercase `z' the dot accent should be exactly the same
% as the dot over `i'; a virtually contradictory demand is to be fullfiled
% for capital `Z': the dot should have exactly the same shape as the dot
% over dotted `z' (in any case, must not be smaller), not too close to
% the top of `Z', and not protruding (too much) over the nominal height,
% i.e., over the height of acute accent.
fix_acc_top;
% now |y.a_top| and |y'a_top| are fixed; |y'a_top=top y.a_top| for a pen
% appropriate for the acute accent
fix_virgin z;
save d_d_; % for sharp and discrete dot diameter
d_d_#=sharp_d_d; define_whole_blacker_pixels(d_d_);
% compute the nominal height
h:=vround(
if charcode=dotted_Z: (cap_height#+i_ht#(d_d_)-hi.x_height#)
elseif charcode=dotted_z: % branch not used when |is_small_cap=true|
i_ht#(d_d_) fi\\ *hppp);
pickup penkind.nib; pos[jj](d_d_,90); pos[ii](d_d_,0);
x[jj]=x[ii]=good.x(.5w+if is_cap: .5 else: .25 fi\\ u);
top y[jj]r=h+1;
top y.i_top=if charcode=dotted_Z: cap_height else: x_height fi
if serifs: +min(oo,serif_drop) fi;
save gap_; gap_=bot y[jj]l-top y.i_top; % nominal gap between the dot and `z'
% raise the lower edge of the dot if needed (cf. the code for the letter `i'
% in ROMANL.MF):
if gap_ < slab: y[jj]l:=min(y[jj]r-eps,y.i_top+tiny+slab); fi
save ove_; ove_=top y[jj]r-y'a_top; % a nominal overshoot of the dot
% lower the dot if needed (for dotted `Z' only):
if (charcode=dotted_Z) and (ove_>0):
save low_; % |low_| is to be the maximal acceptable lowering of the dot
low_=max(0,min(ove_,gap_-penkind)); % somewhat arbitrary formula...
forsuffixes $= ,l,r: y[jj]$:=y[jj]$-low_; endfor
fi
y[ii]=.5[y[jj]l,y[jj]r];
% draw the dot:
dot([ii],[jj]);
% dotted `Z' inherits the height of the accented `Z' which enables decreasing
% by one the number of different heights in a font; dotted `z' has the height
% of a lowercase `i' (exception: caps and small caps)
h:=y.a_top; mark_height(i_ht#(d_d_));
penlabels([ii],[jj]);
enddef;
% ---------------------------------------------------------------------------
% L's CROSS ACCESSORIES
% ---------------------------------------------------------------------------
def put_cross(expr l_jut,r_jut) =
fix_virgin z;
numeric c_ht_; % height of the center of the cross
c_ht_=if is_cap: cap_bar else: bar fi;
numeric theta; theta=angle(11u#,.3[x_height#,cap_height#]);
pickup crisp.nib; pos[ii](c_ht_,theta+90); pos[jj](c_ht_,theta+90);
lft x[ii]r = hround(x1-l_jut)-eps;
rt x[jj]l = hround(x1+r_jut)+eps;
z[ii]-z[jj]=whatever*dir theta;
% |.52| is one of CM (Computer Magic) numbers appearing in many CM programs,
% among others in the programs for B, F, and H:
whatever[z[ii],z[jj]]=if not is_cap and hefty: top fi\\ (x1,.52cap_height);
% |1/2[z[ii],z[jj]]| is now the center of the cross;
% before drawing the stroke improve discretization:
save eps_;
eps_:=y[ii]l-good.y(y[ii]l);
forsuffixes $:=l, ,r: y[ii]$:=y[ii]$-eps_; endfor
eps_:=y[jj]r-good.y(y[jj]r);
forsuffixes $:=l, ,r: y[jj]$:=y[jj]$-eps_; endfor
filldraw stroke z[ii]e--z[jj]e; % now draw the stroke
corrital z[jj]l; % correct italic correction
penlabels([ii],[jj]);
enddef;
% ---------------------------------------------------------------------------
% OGONEK ACCESSORIES
% ---------------------------------------------------------------------------
% This part is admittedly sophisticated, however, a wide spectrum of
% different ogonek shapes is in fact to be programmed: one shape is needed
% for caps, another for `a' with ogonek, yet another for `e' with ogonek,
% as they all have different joins. Moreover, a sansserif ogonek differs
% significantly from a serif one, a bold ogonek from a non-bold, an ogonek
% for hefty fonts should still be different. And if you take into account
% that the basic font unit |u| may change during one session of font
% generation (monospace and caps-small-caps) and that a few different
% pens may be used to draw a single letter, you'll understand why so many
% |if| ... |else:| ... |fi| commands are used in the following code.
%
% Outer and inner edges of an ogonek (suffixed with |l| and |r|, resp.)
% are single B\`ezier segments; the outer one, a path
% |p=z_a..controls z_b and z_c ..z_d|
% is constructed as follows: given pairs |z_a|, |z_d|, angles |alpha_a|,
% |alpha_d| and two numbers |x_down|, |y_right|, find pairs |z_b| and |z_c|
% such that the path |p| has the following properties:
% (a) |direction p(z_a)=alpha_a|
% (b) |direction p(z_d)=alpha_d-180|
% (c) |direction p(x_down,some_y)=down|
% (d) |direction p(some_x,y_right)=right|
% The problem is solved using a ``double'' bisection method, provided
% that appropriate limits |z_b'|, |z_b''| and |z_c'|, |z_c''| for |z_b|
% and |z_c|, respectively, are given; more precisely,
% |z_b=|$\lambda_b$|[z_b',zb'']| and |z_c=|$\lambda_c$|[z_c',zc'']|
% is supposed to hold for given |z_b'|, |z_b''|, |z_c'|, |z_c''| and
% some $0<\lambda_b,\lambda_c<1$.
%
% The inner edge is constructed by a careful modification of the outer one.
%
% If a default behaviour of our program is not satisfying, the user may
% assign a value to the following ``emergency'' parameters (provided E knows
% what E is doing):
% |depth_corr|, |left_corr|, |top_breadth_corr|, |tip_breadth_corr|,
% |tip_xcorr|, |tip_ycorr|, |pre_angle|, |post_angle|,
% |pre_limit|, |post_limit|, |pre_lightness|, |post_lightness|,
% |pre_deflexion|, and |post_deflexion|.
% Any of these parameters, if known while generating a font, is used instead
% of a default setting. The parameters are accessed only via macros:
% |the_ogonek_depth|, |the_left_pos|, |the_top_breadth_corr|,
% |the_tip_breadth_corr|, |the_tip_pos|,
% |the_pre_angle|, |the_post_angle|, |the_pre_limit|, |the_post_limit|,
% |the_pre_lightness|, |the_post_lightness|,
% |the_pre_deflexion|, and |the_post_deflexion|.
% There is one sharp ogonek parameter, |ogonek_pen#|; a respective pen is
% defined at the end of this file (and once again in POLKAP.MF after
% |font_setup|) and used in the files PL_DL.MF, PL_ML.MF, PL_MLK.MF.
% Any parameter may have its |lower| variant (see the file POLKAP.MF).
% ---------------------------------------------------------------------------
% two handy macros:
vardef cross_point(expr a,b) (expr c,d) =
save z_; pair z_; z_=whatever[a,b]; z_=whatever[c,d]; z_
% the crossing point of lines (not segments) |a--b| and |c--d| is returned
enddef;
vardef touch_time(expr p,q) = % a variant of |intersectionpoint|
save x_,y_; (x_,y_)=p intersectiontimes q; if x_<0: 0 else: y_ fi
enddef;
% ---------------------------------------------------------------------------
% the kernel routine for the ogonek:
numeric x_down,x_down',y_right,y_right',alpha_a,alpha_d;
pair z_a,z_b,z_b',z_b'',z_c,z_c',z_c'',z_d;
pair nz_,pz_;
% with plain's |solve| embeded calls are not allowed, hence a bit tricky
% variation:
%%% known zsolve
vardef zsolve@#(suffix z_)=
% |@#| is the name of a real monotonic function; it is assumed that
% |@#(z_')<=0|, |@#(z_'')>0| holds for given |z_'| and |z_''|
save nz_,pz_; pair nz_,pz_; % recursive calls are possible
nz_:=z_'; pz_:=z_'';
forever:
z_:=.5[nz_,pz_]; exitif abs(nz_-pz_)<=tolerance; % by default |tolerance=.1|
if @#(z_)<=0: nz_ else: pz_ fi :=z_;
endfor
% on exit |z_| is (hopefully) near the point where |@#| changes from
% negative to positive
enddef;
vardef down_dir(expr z_b)=
zsolve right_dir(z_c); % here |z_c| is computed
lft(xpart(directionpoint down of (z_a..controls z_b and z_c..z_d)))-x_down
enddef;
vardef right_dir(expr z_c)=
bot(ypart(directionpoint right of (z_a..controls z_b and z_c..z_d)))-y_right
enddef;
% ---------------------------------------------------------------------------
% ogonek defaults:
vardef the_ogonek_depth = % sharp value
if known depth_corr: depth_corr* fi\\ desc_depth#
enddef;
vardef the_left_pos =
if known left_corr: left_corr* fi
if monospace: 3.75 elseif serifs:
if hefty: 2.3 elseif is_bold: 1.7 else: 1.9 fi
else: % sansserif
if is_bold: 1.65 else: 1.55 fi\\ fi\\ hi.u
enddef;
vardef the_tip_pos =
(if monospace: 1.9 elseif serifs: if hefty: 1.85
elseif is_bold: 1.75 else: 2 fi\\ else: % sansserif
if is_bold: 2.1 else: 1.95 fi\\ fi\\ hi.u,
if serifs:
if monospace: 1.25 elseif hefty: 1 elseif is_bold: .75 else: 1.45 fi
else: % sansserif
.45 fi\\ hi.u)
if known tip_xcorr: xscaled\\ tip_xcorr fi
if known tip_ycorr: yscaled\\ tip_ycorr fi
enddef;
vardef the_top_breadth_corr =
if known top_breadth_corr: top_breadth_corr else:
if serifs: 1 elseif is_bold: 1.12 elseif is_cap: 1.06 else: .96 fi\\ fi
enddef;
vardef the_tip_breadth_corr =
if known tip_breadth_corr: tip_breadth_corr else: 1 fi
enddef;
vardef the_pre_angle = % refers to the outer edge
if known pre_angle: pre_angle else:
if serifs: if hefty: 208 elseif is_bold: 211 else: 214 fi\\ else: 211 fi
fi
enddef;
vardef the_post_angle = % refers to the outer edge
if known post_angle: post_angle else:
if serifs: if monospace: 60 elseif hefty: 66 elseif is_bold: 55 else: 74 fi
else: 25 fi\\ fi
enddef;
vardef the_pre_limit = % refers to the outer edge
if known pre_limit: pre_limit else: x_down-3.5hi.u fi
enddef;
vardef the_post_limit = % refers to the outer edge
if known post_limit: post_limit else: x_down-2hi.u fi
enddef;
vardef the_pre_lightness = % refers to the inner edge
if known pre_lightness: pre_lightness else:
if serifs and hefty: .97 elseif not serifs and is_bold: .6
elseif is_bold: .66 else: .78 fi\\ fi
enddef;
vardef the_post_lightness = % refers to the inner edge
if known post_lightness: post_lightness else:
if serifs:
if hefty: .95 elseif is_bold: .66 else: .82 fi
else: % sansserif
.75 fi\\ fi
enddef;
vardef the_post_deflexion = % refers to the inner edge
if known post_deflexion: post_deflexion elseif serifs and hefty: 0
else: -5 fi
enddef;
vardef the_pre_deflexion = % refers to the inner edge
if known pre_deflexion: pre_deflexion
elseif known join_angle and not serifs:
if is_bold: -4 else: -2 fi\\
elseif not serifs: if is_bold: -8 else: -4 fi\\ else: 0 fi
enddef;
% ---------------------------------------------------------------------------
%%% fine lo
vardef lo suffix z = % in a way |lo| is a counterpart to |hi|
if is_small_cap: z_a+((z-z_a) scaled sqrt(body_height#/higher.body_height#))
else: z fi
enddef;
% ---------------------------------------------------------------------------
% parameters to |put_ogonek|:
numeric join_angle; % starting (inner) ogonek direction, if known
numeric ogonek_breadth; % ogonek breadth at the tip
% starting (inner for `e' with ogonek, otherwise outer) ogonek position:
pair ogonek_pos;
% ---------------------------------------------------------------------------
def put_ogonek(suffix penkind) =
begingroup
if monospace:
% excerpt from |mono_adjust|:
save u_; numeric u_; u_:=hi.u#; save u; u#:=u_;
numeric expansion_factor;
mono_charwd#=2hi.letter_fit#+expansion_factor*cap_A_wd#; % cap_A_wd=13u
hi.u:=u#*expansion_factor*hppp;
% now |u| is like in the letter `A'
fi
fix_virgin z; pickup penkind.nib;
% `a' with ogonek attached to the hook deserves a special treatment:
if\\ (not is_small_cap) and (charcode=ogonked_a) and serifs and not is_bold:
if ypart(ogonek_pos)>.5penkind:
z[ii]~l=ogonek_pos;
pos[ii]~(max(the_top_breadth_corr*ogonek_breadth,penkind+epsilon),0);
ogonek_pos:=cross_point((0,.5penkind),(1,.5penkind))
(z[ii]~l,z[ii]~l+dir(the_pre_angle));
fi
fi
% similarly, `e' with ogonek deserves a special treatment:
if\\ (not is_small_cap) and (charcode=ogonked_e):
if ypart(ogonek_pos)>.5penkind:
z[ii]~r=ogonek_pos;
pos[ii]~(max(the_top_breadth_corr*ogonek_breadth,penkind+epsilon),0);
ogonek_pos:=cross_point((0,.5penkind),(1,.5penkind))
(z[ii]~l,z[ii]~l+dir(join_angle));
fi
fi
% invariant: |ypart(ogonek_pos)|$\le$|.5penkind|;
% moreover, for `A' and `E': |ypart(ogonek_pos)=.5penkind|
% OUTER EDGE:
alpha_a:=the_pre_angle; % starting direction
alpha_d:=180+the_post_angle; % ending direction
x_down:=if serifs: hround else: ceiling fi
(xpart(ogonek_pos)-the_left_pos); % left bound
y_right:=-vround(d+hi.o); % bottom bound
z_a:=(x_down+the_left_pos,ypart(ogonek_pos)); % starting point
z_d:=(xpart(z_a)-.5penkind,y_right+ypart(ogonek_pos))+
the_tip_pos; % ending point
% guess the boundaries for control points:
z_b':=cross_point (z_a,z_a+dir alpha_a)
((the_pre_limit,0),(the_pre_limit,1));
z_b'':=cross_point (z_b',z_a)\\ ((x_down,0),(x_down,1));
z_c':=cross_point (z_d,z_d+dir alpha_d)
((the_post_limit,0),(the_post_limit,1));
z_c'':=cross_point (z_c',z_d)\\ ((0,y_right),(1,y_right));
% THE PIVOT STEP OF THE OGONEK PROCEDURE, i.e.,
% determine the control points (|z_b| and |z_c|) of the outer path:
zsolve down_dir(z_b); % |down_dir| calls `|zsolve right_dir(z_c)|'
x_down':=xpart(lft(directionpoint down of
(z_a..controls z_b and z_c..z_d)));
y_right':=ypart(bot(directionpoint right of
(z_a..controls z_b and z_c..z_d)));
if abs(x_down'-x_down,y_right'-y_right)>sqrt2:
message "ERROR: `ogonek' iteration hasn't converged! Final values:";
message "x_down="&decimal x_down'&" (should be "&decimal x_down&")";
message "y_right="&decimal y_right'&" (should be "&decimal y_right&")";
errhelp "Maybe Jackowski knows how to change them...";
errmessage "Probably, you have to change somehow the boundary values";
fi
% small caps have ogoneks a bit smaller:
z[ii]l=z_a; z[ii]'l=lo.z_b; z[jj]'l=lo.z_c; z[jj]l=lo.z_d;
% INNER EDGE:
pos[ii](max(the_top_breadth_corr*ogonek_breadth,penkind+epsilon),0);
pos[jj](max(the_tip_breadth_corr*ogonek_breadth,penkind+epsilon),
angle(direction 1 of (z_a..controls z_b and z_c..z_d))+
if serifs: 90 else: 80 fi);
z[ii]'r=z[ii]r+((z[ii]'l-z[ii]l) scaled the_pre_lightness
rotated the_pre_deflexion);
z[jj]'r=z[jj]r+((z[jj]'l-z[jj]l) scaled the_post_lightness
rotated the_post_deflexion);
% trim the top of the ogonek, if necessary:
path ogonek.l, ogonek.r; numeric tt.r, tt.l;
ogonek.l=if is_known z[ii]~: % minuscule with ogonek
z[ii]~l{dir if charcode=ogonked_a: the_pre_angle else: join_angle fi}..fi
z[ii]l..controls z[ii]'l and z[jj]'l..z[jj]l;
ogonek.r=if is_known z[ii]~: % ditto
z[ii]~r{dir if charcode=ogonked_a: the_pre_angle else: join_angle fi}..fi
z[ii]r..controls z[ii]'r and z[jj]'r..z[jj]r;
tt.r=if serifs and (not is_small_cap) and (charcode=ogonked_a):
touch_time(p.l,ogonek.r) else: 0 fi;
tt.l=if\\ (not is_small_cap) and (charcode=ogonked_e):
touch_time(p.r,ogonek.l) else: 0 fi;
% at last, draw the ogonek:
if ogonek_breadth>.5:
interim turningcheck:=0; filldraw
if\\ (not is_small_cap) and (charcode=ogonked_e):
(point tt.r of ogonek.r){direction tt.r of ogonek.r}..{curl 1} fi
subpath (tt.l,length ogonek.l) of ogonek.l--
reverse(subpath (tt.r,length ogonek.r) of ogonek.r)
if is_small_cap or (charcode<>ogonked_e): -- else: & fi\\ cycle;
% the |draw| command covers with ink unwanted breaks:
pickup pensquare scaled (.5*sqrt2) rotated 45;
draw .5[z[ii]l,z[ii]r]..controls .5[z[ii]'l,z[ii]'r] and
.5[z[jj]'l,z[jj]'r].. .5[z[jj]l,z[jj]r];
else: % poor resolution:
pickup pensquare scaled (.5*sqrt2) rotated 45;
draw z[ii]l..controls z[ii]'l and z[jj]'l..z[jj]l;
fi
numeric join_angle, ogonek_breadth; pair ogonek_pos; % all they are local
penlabels([ii],[jj]);
endgroup
enddef;
% ---------------------------------------------------------------------------
% MACROS FOR PROCESSING CHARS TWICE:
% PASS 1: COLLECTING TFM (SHARP) INFORMATION
% PASS 2: CREATING THE GLYPH
% ---------------------------------------------------------------------------
%%% define_pixels prepare_pen
%%% beginchar beginchar_twice
%%% endfor repeat_once
let ori_draw:=draw;
let ori_fill:=fill;
let ori_filldraw:=filldraw;
let ori_erase:=erase;
let ori_special:=special;
let ori_numspecial:=numspecial;
mode_def canonical_sharp_mode = % nearly |proof| mode
proofing:=0; % no, we aren't making full proofs
fontmaking:=0; % no, we aren't making a font
tracingtitles:=0; % don't show titles online
pixels_per_inch:=2601.72; % that's 36 pixels per pt
blacker:=0; % no additional blackness
fillin:=0; % no compensation for fillin
o_correction:=1; % no reduction in overshoot
blacker_min:=0; % no write_white provision
enddef;
def beginchar_twice(expr c,w_sharp,h_sharp,d_sharp) =
begingroup
if string mode: string prev_mode; prev_mode:=mode;
else: numeric prev_mode; prev_mode:=mode;
fi
for sharp_calc_:=1, whatever:
% |sharp_calc| is checked in |corrital|, |mark_height|, |put_accent|,
% and |put_dot|
sharp_calc:=sharp_calc_;
if known sharp_calc: % carry out ``sharp'' calculations
begingroup save mode,mag; mode:=canonical_sharp_mode; mode_setup;
if known cmbase: font_setup;
if not serifs: fisp:=round(1/3[fine,crisp]); prepare_pen fisp; fi
if known ogonek_pen#:
define_whole_pixels(ogonek_pen); prepare_pen ogonek_pen;
fi
% In POLKAP.MF the following setting is performed:
%| forsuffixes $=u,o,letter_fit,x_height,bar_height,body_height,stem:|
%| higher.$:=higher.$.# * hppp;|
%| endfor|
if is_small_cap: % a supplement to |font_setup|
define_pixels(higher.u,higher.bar_height);
define_corrected_pixels(higher.o);
define_whole_pixels(higher.letter_fit);
define_whole_vertical_pixels(higher.x_height,higher.body_height);
define_whole_blacker_pixels(higher.stem);
fi
fi
endgroup;
let draw:=killtext; % |killtext| was absent from earlier versions of plain
let fill:=killtext;
let filldraw:=killtext;
let erase:=killtext;
def special expr t = enddef;
def numspecial expr t = enddef;
charwd:=w_sharp; charht:=h_sharp; chardp:=d_sharp; charic:=0;
else: % carry out ``discrete'' calculations
save mode_guard_; % dedicated to those who use Karl Berry's modes.mf
mode:=prev_mode; mode_setup;
if known cmbase: font_setup;
if not serifs: fisp:=round(1/3[fine,crisp]); prepare_pen fisp; fi
if known ogonek_pen#:
define_whole_pixels(ogonek_pen); prepare_pen ogonek_pen;
fi
if is_small_cap: % a supplement to |font_setup| (see sharp calculations)
define_pixels(higher.u,higher.bar_height);
define_corrected_pixels(higher.o);
define_whole_pixels(higher.letter_fit);
define_whole_vertical_pixels(higher.x_height,higher.body_height);
define_whole_blacker_pixels(higher.stem);
fi
fi
let draw:=ori_draw;
let fill:=ori_fill;
let filldraw:=ori_filldraw;
let erase:=ori_erase;
let special:=ori_special;
let numspecial:=ori_numspecial;
charwd:=w_sharp;
fi
charcode:=if known c: byte c else: 0 fi;
w:=hround(w_sharp*hppp); h:=vround(h_sharp*hppp); d:=vround(d_sharp*hppp);
clearxy; clearit; clearpen; scantokens extra_beginchar;
enddef;
let repeat_once = endfor;
% ---------------------------------------------------------------------------
% LAST MINUTE EXTRA FONT SETUP (repeated in POLKAP.MF)
% ---------------------------------------------------------------------------
if not serifs: fisp:=round(1/3[fine,crisp]); prepare_pen fisp; fi
if known ogonek_pen#:
define_whole_pixels(ogonek_pen); prepare_pen ogonek_pen;
fi
% ---------------------------------------------------------------------------
% THAT'S ALL, FOLKS.
% ---------------------------------------------------------------------------
endinput;
%%\end