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wordcloud.mp
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wordcloud.mp
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% wordcloud %%
%% drawing wordclouds %%
%% with METAPOST and Lua %%
%% [email protected] %%
%% Version 0.2 (septembre 2023) %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% This work may be distributed and/or modified under the conditions of
% the LaTeX Project Public License, either version 1.3c of this license
% or (at your option) any later version. The latest version of this
% license is in http://www.latex-project.org/lppl.txt
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
if not known mplib: input latexmp ; show"wordcloud Infos: latexmp loaded";fi;
input colorbrewer-rgb
% function to get all the path of letters (too slow)
vardef build_pathpicture(expr pict)=
save tex_pct,glp_pct,glp_idx,glp_num,pth_num,glp_pth,fnt_str, txt_str, sub_str,txt_wd;
% text material and glyphs contours
picture tex_pct, glp_pct;
numeric glp_num, pth_num[];
path glp_pth[][];
% tex_pct btex .. etex material
% glp_num number of glyphs within tex_pct
% pth_num[i] number of paths defining the rank i (0 .. glp_num-1) glyph
% glp_pth[i][j] rank j (0 .. pth_num[i]-1) path of the rank i glyph
% glp_pct glyphs picture
tex_pct:=pict;
glp_pct:=nullpicture;
string fnt_str, txt_str, sub_str;
numeric txt_wd;
glp_num:=0;
for tkn within pict:
%show tkn;
if textual tkn:
%show "textual";
fnt_str:=fontpart tkn;
txt_str:=textpart tkn;
txt_wd:=0;
for glp_idx=0 upto (length txt_str-1):
sub_str:=substring (glp_idx, glp_idx+1) of txt_str;
for sub_tkn within glyph ASCII sub_str of fnt_str
scaled (fontsize fnt_str/1000)
xscaled xxpart tkn
yscaled yypart tkn
shifted (txt_wd+xpart tkn, ypart tkn):
addto glp_pct doublepath (pathpart sub_tkn);
endfor
txt_wd:=txt_wd+
(xxpart tkn)*xpart urcorner (sub_str infont fnt_str);
endfor
fi
endfor
glp_pct
enddef;
% path intersection (trop gourmant en temps, too slow...)
vardef word_intersection(expr tic, tac)=
save _p, _w, _v,_output;
boolean _output;
_output:=false;
path _p,_w,_v;
for _p within tic:
_w := pathpart _p;
for _q within tac:
_v := pathpart _q;
if((_w intersectiontimes _v)<>(-1,-1)): % intersection
_output:=true;
fi
endfor
endfor
_output
enddef;
% global variable
_wordcloud_box_margin:=0.3pt;
% setting the box margin
def set_box_margin(expr s)=
_wordcloud_box_margin:=s;
enddef;
% extrenal box intersection (horizontal or vertical)
vardef extbb_intersection(expr tic, tac)=
save xmax_, xmin_, ymax_, ymin_, xmax__, xmin__, ymax__, ymin__, _output;
boolean _output;
_output:=false;
%show _p;
xmin_:= (xpart llcorner tic) -_wordcloud_box_margin;
ymin_ := (ypart llcorner tic)-_wordcloud_box_margin;
xmax_:= (xpart urcorner tic)+_wordcloud_box_margin;
ymax_ := (ypart urcorner tic)+_wordcloud_box_margin;
xmin__:= (xpart llcorner tac)-_wordcloud_box_margin;
ymin__ := (ypart llcorner tac)-_wordcloud_box_margin;
xmax__:= (xpart urcorner tac)+_wordcloud_box_margin;
ymax__ := (ypart urcorner tac)+_wordcloud_box_margin;
if ((xmin_<= xmax__) and (xmax_ >= xmin__) and (ymin_<= ymax__) and (ymax_ >= ymin__)):
_output:=true;
fi
_output
enddef;
% subbb_entersection of words (from textext)
%%%!!!!!! not working !!!!!!!!!
vardef bb_intersection(expr tic, tac)=
save xmax_, xmin_, ymax_, ymin_, xmax__, xmin__, ymax__, ymin__,
_output;
save _p, _w, _v,_output,_q;
boolean _output;
_output:=false;
path _p,_w,_v;
i:=0;
for _v within tic:
for _p within _v:
i:=i+1;
%show "i"&decimal(i);
xmin_:= (xpart llcorner _p)-_wordcloud_box_margin;
ymin_ := (ypart llcorner _p)-_wordcloud_box_margin;
xmax_:= (xpart urcorner _p)+_wordcloud_box_margin;
ymax_ := (ypart urcorner _p)+_wordcloud_box_margin;
j:=0;
for _w within tac:
for _q within _w:
j:=j+1;
%show "j"&decimal(j);
xmin__:= (xpart llcorner _q)-_wordcloud_box_margin;
ymin__ := (ypart llcorner _q)-_wordcloud_box_margin;
xmax__:= (xpart urcorner _q)+_wordcloud_box_margin;
ymax__ := (ypart urcorner _q)+_wordcloud_box_margin;
if ((xmin_<= xmax__) and (xmax_ >= xmin__) and (ymin_<= ymax__) and (ymax_ >= ymin__)):
_output:=true;
fi
exitif(_output);
endfor
endfor
exitif(_output);
endfor
endfor
_output
enddef;
% build the spiral to put words
path _wordcloud_spiral;
_wordcloud_spiral:=(0,0);
_wordcloud_N:= 10*360;
_tours:=20;
_scale:=0.3;
for j:=1 upto _tours:
_rapj:=j/_tours;
for i:=1 step 10 until 360:
_rapi:=((i)+(j)*360)/360;
%show (_rapj*_rapi);
%show (6*_rapj*_rapi)*(cosd(i)*1cm,sind(i)*1cm);
_wordcloud_spiral:=_wordcloud_spiral--((_scale*_rapi)*(cosd(i)*1cm,sind(i)*1cm));
endfor;
endfor
picture _wordcloud_words[], _wordcloud_pathwords[];
path _wordcloud_words_oriented_bb[];
numeric _wordcloud_weights[];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%% FONCTIONS USUELLES %%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% from repere.mp Olivier Péault
pi:=3.141592654;
e:=2.718281828;
vardef sin(expr x) = sind(180*x/pi) enddef;
vardef cos(expr x) = cosd(180*x/pi) enddef;
vardef tan(expr x) = sin(x)/cos(x) enddef;
vardef exp(expr x) = mexp(x*256) enddef;
vardef ln(expr x) = mlog(x)/256 enddef;
vardef ch(expr x)=(exp(x)+exp(-x))/2 enddef;
vardef sh(expr x)=(exp(x)-exp(-x))/2 enddef;
vardef Arctan(expr x)= pi*angle(1,x)/180 enddef;
vardef Arctand(expr x)= angle(1,x) enddef;
vardef Arcsin(expr x)= Arctan(x/sqrt(1-x**2)) enddef;
vardef Arcsind(expr x)= Arctand(x/sqrt(1-x**2)) enddef;
vardef Arccos(expr x)= pi/2-Arcsin(x) enddef;
vardef Arccosd(expr x)= Arctand((sqrt(1-x**2))/x)enddef;
% general scaling
_wordcloud_gen_scale:=1;
def set_wordcloud_scale(expr s)=
_wordcloud_gen_scale:=s;
enddef;
% fonction d'agrandissement en fonction du poids du mot
vardef _wordcloud_scale_fct(expr e,_max,_min)=
save _t,_N,_a,_b;
_a*_min+_b=0.7;
_a*_max+_b=2.5;
_t:=_a*e+_b;
_t:=ln(_t)-ln(0.7)+0.295;
_wordcloud_gen_scale*(1.1*_t)
enddef;
% fabrication des mots avec la taille requise
vardef _build_tabs(suffix _words, _weights)(expr _N)=
save _tmp_pict,_width,_height;
picture _tmp_pict;
for i=1 upto _N:
_tmp_pict:=textext(_words[i]) scaled (_wordcloud_scale_fct(_weights[i],_weights[1],_weights[_N]));
_width:=abs(ulcorner _tmp_pict - urcorner _tmp_pict);
_height:=abs(ulcorner _tmp_pict - llcorner _tmp_pict);
_wordcloud_words[i]:= _tmp_pict shifted (-0.5_width,-0.5_height);
_wordcloud_weights[i]:=_weights[i];
_bbox_old:=bboxmargin;
bboxmargin:=_wordcloud_box_margin;
_wordcloud_words_oriented_bb[i]:= bbox _wordcloud_words[i];
bboxmargin:=_bbox_old;
_wordcloud_pathwords[i]:=build_pathpicture(_wordcloud_words[i]) ;
endfor;
enddef;
% function to compute angle
def _wordcloud_rotation(expr a,b)=
% a: angle
% b: 0 or 1
if b=0:
a
else:
if(a=0):
90
else:
-a
fi
fi
enddef;
%%% colors
boolean _wordcloud_use_color;
_wordcloud_use_color:=false;
numeric wordcloud_colors_number;
color wordcloud_colors[];
% default colors
wordcloud_colors[1]:=Reds[3][3];
wordcloud_colors[2]:=Greens[3][3];
wordcloud_colors[3]:=Blues[3][3];
wordcloud_colors[4]:=Oranges[3][3];
wordcloud_colors[5]:=black;
wordcloud_colors_number:=5;
def wordcloud_use_color(expr b)=
_wordcloud_use_color:= b;
enddef;
% main function to draw the picture
vardef draw_wordcloud(suffix _words, _weights, rotation)(expr _N)=
save _rotation_bool,_position,_ok_draw,_tmp_word,_random_pt,_position_pt,_pt;
pair _random_pt,_position_pt,_pt;
path _tmp_word;
boolean _ok_draw;
_position:=0;
_build_tabs(_words,_weights,_N);
for i=1 upto _N:
%show i;
_position:=0;
if(i mod 2) = 0:
_rotation_bool:=1;
else:
_rotation_bool:=0;
fi
if(i=1):
draw _wordcloud_words[i] rotated (_wordcloud_rotation(rotation,_rotation_bool)) shifted (point _position
of _wordcloud_spiral) if(_wordcloud_use_color): withcolor wordcloud_colors[i] fi ;
_position_pt:=(0,0);
_random_pt:=(0,0);
else:
_count:=0;
forever:
_position_pt:=point _position of _wordcloud_spiral;
_random_pt:=(uniformdeviate(1)*0.01cm,uniformdeviate(1)*0.01cm);
_pt:=_position_pt+_random_pt;
_count:=_count+1;
_ok_draw:= true;
_tmp_word:=_wordcloud_words_oriented_bb[i] rotated (_wordcloud_rotation(rotation,_rotation_bool)) shifted (_position_pt + _random_pt);
%_tmp_word:=_wordcloud_words[i] rotated (_rotation*90) shifted (point %_position
% of _wordcloud_spiral);
for j=1 upto i-1:
if(rectangles_intersection(_tmp_word,_wordcloud_words_oriented_bb[j])):
%if(bb_intersection(_tmp_word,_wordcloud_words[j])):
_ok_draw:= false;
%fi
fi
endfor;
if(_ok_draw): % if there is no intersections
draw _wordcloud_words[i] rotated
(_wordcloud_rotation(rotation,_rotation_bool)) shifted (_position_pt +
_random_pt) if(_wordcloud_use_color): withcolor wordcloud_colors[((i-1)
mod wordcloud_colors_number)+1] fi;
else: % else, we move along the spiral
_position:=_position+1;
fi
exitif(_ok_draw);
%exitif(_count>30);
endfor;
fi
_wordcloud_words[i]:=_wordcloud_words[i] rotated (_wordcloud_rotation(rotation,_rotation_bool)) shifted
(_position_pt + _random_pt);
_wordcloud_words_oriented_bb[i]:=_wordcloud_words_oriented_bb[i] rotated (_wordcloud_rotation(rotation,_rotation_bool)) shifted
(_position_pt + _random_pt);
_wordcloud_pathwords[i]:=_wordcloud_pathwords[i] rotated (_wordcloud_rotation(rotation,_rotation_bool)) shifted
(_position_pt + _random_pt);
endfor;
enddef;
vardef dotproduct(expr a,b)=
save _output;
_output := (xpart a)*(xpart b)+(ypart a)*(ypart b);
_output
enddef;
vardef normvec(expr p)=
p/(sqrt((xpart p)**2+(ypart p)**2))
enddef;
vardef bb_projection(expr p,a)=
% p : edge of a rectangle (pair)
% a : axis of proj
dotproduct(p,a)
enddef;
% intersection of oriented rectangel
vardef rectangles_intersection(expr tic,tac)=
% tic, tac, two rectangular path (closed)
save x,y,a,b,normedge,edge,_min,_max,_dotprod,_output,_minEdge,_maxEdge;
pair normedge,edge;
boolean _output;
_output:=false;
numeric x[],y[],a[],b[];
(x1,y1) = point 1 of tic;
(x2,y2) = point 2 of tic;
(x3,y3) = point 3 of tic;
(x4,y4) = point 4 of tic;
(a1,b1) = point 1 of tac;
(a2,b2) = point 2 of tac;
(a3,b3) = point 3 of tac;
(a4,b4) = point 4 of tac;
for i=1 upto 4:
%show (x[i],y[i]);
endfor;
for i=1 upto 4:
%show (a[i],b[i]);
endfor;
%draw (a1,b1)--(a2,b2)--(a3,b3)--(a4,b4);
for i=1 upto 2: % on prend deux côtés perpendiculaire du rectangle 1
%show "premier";
%show i;
edge:=(x[i+1],y[i+1])-(x[i],y[i]);
%show edge;
normedge:=normvec(edge);
for j=1 upto 4: %pour chaque point de deuxième triangle on projette sur
% l’axe du côté du rectangle 1 qu’on considère
_dotprod:=dotproduct((x[j],y[j]),normedge);
if(j=1):
_minEdge:=_dotprod;
_maxEdge:=_dotprod;
fi
if(_dotprod<_minEdge):
_minEdge:=_dotprod;
else:
if(_dotprod>_maxEdge):
_maxEdge:=_dotprod;
fi
fi
%show _minEdge;
%show _maxEdge;
endfor;
%show _minEdge;
%show _maxEdge;
for j=1 upto 4: %pour chaque point de deuxième triangle on projette sur
% l’axe du côté du rectangle 1 qu’on considère
_dotprod:=dotproduct((a[j],b[j]),normedge);
if(j=1):
_min:=_dotprod;
_max:=_dotprod;
fi
if(_dotprod<_min):
_min:=_dotprod;
else:
if(_dotprod>_max):
_max:=_dotprod;
fi
fi
endfor;
%show _min;
%show _max;
if (_min>_maxEdge) or (_max<_minEdge):
%show "OK";
_output:=true;
fi
endfor; %the other way
for i=1 upto 2: % on prend deux côtés perpendiculaire du rectangle 1
%show "deuxième";
%show i;
edge:=(a[i+1],b[i+1])-(a[i],b[i]);
%show edge;
normedge:=normvec(edge);
for j=1 upto 4: %pour chaque point de deuxième triangle on projette sur
% l’axe du côté du rectangle 1 qu’on considère
_dotprod:=dotproduct((a[j],b[j]),normedge);
if(j=1):
_minEdge:=_dotprod;
_maxEdge:=_dotprod;
fi
if(_dotprod<_minEdge):
_minEdge:=_dotprod;
else:
if(_dotprod>_maxEdge):
_maxEdge:=_dotprod;
fi
fi
%show _minEdge;
%show _maxEdge;
endfor;
%show _minEdge;
%show _maxEdge;
for j=1 upto 4: %pour chaque point de deuxième triangle on projette sur
% l’axe du côté du rectangle 1 qu’on considère
_dotprod:=dotproduct((x[j],y[j]),normedge);
if(j=1):
_min:=_dotprod;
_max:=_dotprod;
fi
if(_dotprod<_min):
_min:=_dotprod;
else:
if(_dotprod>_max):
_max:=_dotprod;
fi
fi
endfor;
if (_min>_maxEdge) or (_max<_minEdge):
%show "OK";
_output:=true;
fi
endfor;
not _output
enddef;