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markup.cc
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markup.cc
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/* markup.cc
*
* copyright (c) 2019 Luka Marohnić
*
* This program is free software;you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation;either version 3 of the License,or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY;without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not,see <http://www.gnu.org/licenses/>.
*/
#include "giacPCH.h"
#include "giac.h"
#include "markup.h"
#include "signalprocessing.h"
#include "tex.h"
#include "mathml.h"
#ifdef __ANDROID__
using std::vector;
#endif
using namespace std;
#ifndef NO_NAMESPACE_GIAC
namespace giac {
#endif // ndef NO_NAMESPACE_GIAC
const string mml_itimes="<mo>⁢</mo>";
const string mml_cdot="<mo>·</mo>";
const string mml_dot="<mo>.</mo>";
const string mml_times="<mo>×</mo>";
const string mml_plus="<mo>+</mo>";
const string mml_minus="<mo>−</mo>";
const string mml_apply="<mo>⁡</mo>";
const string mml_icomma="<mo>⁣</mo>";
const string mml_i="<mi mathvariant='normal'>i</mi>";
const string mml_e="<mi mathvariant='normal'>e</mi>";
const string mml_d="<mi mathvariant='normal'>d</mi>";
const string mml_re="<mi>ℜ</mi>";
const string mml_im="<mi>ℑ</mi>";
string tex_itimes=" ";
string tex_mathi="\\mathrm{i}";
string tex_mathe="\\mathrm{e}";
string tex_mathd="\\mathrm{d}";
const string tm_Dirac="\\operatorname{\\updelta}";
const string tm_Heaviside="\\operatorname{\\uptheta}";
const string tm_Zeta="\\operatorname{\\upzeta}";
bool is_texmacs_compatible_latex_export=false;
bool force_legacy_conversion_to_latex=false;
bool allow_implicit_multiplication=true;
bool allow_implicit_function_application=true;
bool allow_exponent_simplification=true;
enum OperatorPrecedence {
_PRIORITY_APPLY=1, // function application, array access
_PRIORITY_UNARY=2, // unary operator
_PRIORITY_EXP=3, // power or exponential
_PRIORITY_MUL=4, // multiplication, division, modulo
_PRIORITY_ADD=5, // addition, subtraction
_PRIORITY_SET=6, // set operator
_PRIORITY_INEQ=7, // inequality
_PRIORITY_EQ=8, // equation
_PRIORITY_COMP=9, // comparison operator == or !=
_PRIORITY_NOT=10, // logical negation
_PRIORITY_AND=11, // logical conjunction
_PRIORITY_XOR=12, // logical exclusive or
_PRIORITY_OR=13, // logical disjunction
_PRIORITY_COND=14, // conditional expression
_PRIORITY_ASSGN=15,// assignment operator
_PRIORITY_OTHER=100
};
enum MarkupBlockTypeFlags {
_MLBLOCK_GENERAL=0,
_MLBLOCK_NUMERIC_EXACT=1,
_MLBLOCK_NUMERIC_APPROX=2,
_MLBLOCK_SUBTYPE_IDNT=4,
_MLBLOCK_FRACTION=8,
_MLBLOCK_ROOT=16,
_MLBLOCK_NEG=32,
_MLBLOCK_SUMPROD=64,
_MLBLOCK_FACTORIAL=128,
_MLBLOCK_MATRIX=256,
_MLBLOCK_ELEMAPP=512,
_MLBLOCK_FUNC=1024,
_MLBLOCK_POWER=2048,
_MLBLOCK_DERIVATIVE=4096,
_MLBLOCK_HAS_SUBSCRIPT=8192,
_MLBLOCK_LEADING_DIGIT=16384,
_MLBLOCK_IDNT_NAME=32768
};
enum MarkupFlags {
_MARKUP_LATEX=1,
_MARKUP_TOPLEVEL=2,
_MARKUP_UNIT=4,
_MARKUP_MATHML_PRESENTATION=8,
_MARKUP_MATHML_CONTENT=16,
_MARKUP_ELEMPOW=32,
_MARKUP_FACTOR=64,
_MARKUP_CODE=128,
_MARKUP_QUOTE=256,
_MARKUP_ERROR=512,
_MARKUP_SCHEME=1024
};
int mathml_default_export=_MARKUP_MATHML_PRESENTATION | _MARKUP_MATHML_CONTENT;
string scm_quote(const string &s) {
if (s.length()==0 || s[0]=='(')
return s;
return "\""+s+"\"";
}
string scm_concat(const string &s) {
return "(concat "+s+")";
}
bool is_substr(const string &s,const string &needle) {
return s.find(needle)!=string::npos;
}
bool is_prefix(const string &s,const string &p) {
return s.find(p)==0;
}
bool is_suffix(const string &s,const string &p) {
return s.rfind(p)+p.length()==s.length();
}
bool is_greek_letter(const string &s) {
switch (s.size()) {
case 2:
return s=="mu" || s=="nu" || s=="pi" || s=="Pi" || s=="xi" ||
s=="Xi";
case 3:
return s=="chi" || s=="phi" || s=="Phi" || s=="eta" || s=="rho" ||
s=="tau" || s=="psi" || s=="Psi";
case 4:
return s=="beta" || s=="zeta";
case 5:
return s=="alpha" || s=="delta" || s=="Delta" || s=="gamma" ||
s=="Gamma" || s=="kappa" || s=="theta" || s=="Theta" ||
s=="sigma" || s=="Sigma" || s=="Omega" || s=="omega";
case 6:
return s=="lambda" || s=="Lambda";
case 7:
return s=="epsilon";
case 10:
return s=="varepsilon";
default:
break;
}
return false;
}
bool is_double_letter(const string &s) {
return s.length()==2 && isalpha(s.at(0)) && s.at(0)==s.at(1);
}
bool is_digits(const string &s) {
for (string::const_iterator it=s.begin();it!=s.end();++it) {
if (!isdigit(*it))
return false;
}
return true;
}
typedef struct markup_block {
int priority;
int type;
bool neg;
string latex;
string scheme;
string markup;
string content;
int split_pos;
int split_pos_tex;
int split_pos_scm;
bool appl;
bool ctype(int t) const { return (type & t)!=0; }
} MarkupBlock;
extern MarkupBlock gen2markup(const gen &g,int flags,int &idc,GIAC_CONTEXT);
#ifndef KHICAS
void enable_texmacs_compatible_latex_export(bool yes) {
is_texmacs_compatible_latex_export=yes;
tex_itimes=(yes?"\\*":" ");
tex_mathi=(yes?"\\mathi ":"\\mathrm{i}");
tex_mathe=(yes?"\\mathe ":"\\mathrm{e}");
tex_mathd=(yes?"\\mathd ":"\\mathrm{d}");
}
#endif
#define NUM_MATHML_CONTENT_ELEMENTS 31
const string mathml_content_elements[NUM_MATHML_CONTENT_ELEMENTS]={
"cn",
"ci",
"cs",
"csymbol",
"cerror",
"share",
"bind",
"bvar",
"semantics",
"apply",
"domainofapplication",
"interval",
"condition",
"lowlimit",
"uplimit",
"degree",
"momentabout",
"logbase",
"inverse",
"lambda",
"piecewise",
"piece",
"otherwise",
"set",
"list",
"vector",
"matrix",
"matrixrow",
"declare",
"reln",
"fn"
};
bool is_mathml_content_element(const string &s) {
for (int i=0;i<NUM_MATHML_CONTENT_ELEMENTS;++i) {
if (mathml_content_elements[i]==s) return true;
}
return false;
}
string mml_tag(const string &tag,const string &str,int idc=0,
const string &attr_key1="",const string &attr_val1="",
const string &attr_key2="",const string &attr_val2="",
const string &attr_key3="",const string &attr_val3="",
const string &attr_key4="",const string &attr_val4="") {
string r,attr1,attr2,attr3,attr4;
if (tag[0]=='c' || is_mathml_content_element(tag))
r="id";
else if (tag[0]=='m')
r="xref";
assert(!r.empty());
if (!attr_key1.empty() && !attr_val1.empty())
attr1=" "+attr_key1+"='"+attr_val1+"'";
if (!attr_key2.empty() && !attr_val2.empty())
attr2=" "+attr_key2+"='"+attr_val2+"'";
if (!attr_key3.empty() && !attr_val3.empty())
attr3=" "+attr_key3+"='"+attr_val3+"'";
if (!attr_key4.empty() && !attr_val4.empty())
attr4=" "+attr_key4+"='"+attr_val4+"'";
if (idc==0)
return "<"+tag+attr1+attr2+attr3+attr4+">"+str+"</"+tag+">";
return "<"+tag+" "+r+"='id"+gen(idc).print(context0)+"'"+attr1+attr2+attr3+attr4+">"+str+"</"+tag+">";
}
string mml_csymbol(const string &s,const string &cd) {
string attr=(cd.empty()?"":"cd");
return mml_tag("csymbol",s,0,attr,cd);
}
string extract_id(MarkupBlock &ml,bool content) {
size_t pos_id_start,pos_gt,pos_id_end;
string &str=(content?ml.content:ml.markup);
string attr=(content?" id='":" xref='");
pos_gt=str.find(">");
pos_id_start=str.find(attr);
if (pos_id_start==string::npos || pos_id_start>pos_gt)
return "";
pos_id_end=str.find("'",pos_id_start+attr.length());
assert(pos_id_end!=string::npos);
string ret=str.substr(pos_id_start+attr.length(),
pos_id_end-pos_id_start-attr.length());
str=str.substr(0,pos_id_start)+str.substr(pos_id_end+1);
return ret;
}
string insert_id(const string &str,int idc,bool content) {
if (idc==0)
return str;
size_t pos=str.find(">");
if (pos==string::npos || pos==0)
return str;
if (str[pos-1]=='/') pos--;
string r=(content?" id='id":" xref='id");
return str.substr(0,pos)+r+gen(idc).print(context0)+"'"+str.substr(pos);
}
string trim_string(const string &s_orig,int &indent) {
string s=s_orig;
size_t i,j;
indent=0;
for (i=0;i<s.length();++i) {
char c=s.at(i);
if (c==' ')
indent++;
else if (c!='\n' && c!='\t')
break;
}
for (j=s.length();j-->0;) {
char c=s.at(j);
if (c!=' ' && c!='\n' && c!='\t')
break;
}
return s.substr(i,j-i+1);
}
void split_string(string const &str,const char delim,vector<string> &out) {
size_t start=0,end,len=str.length();
do {
end=str.find(delim,start);
if (end==string::npos)
end=len;
out.push_back(str.substr(start,end-start));
} while ((start=end+1)<=len);
}
string str_to_tex(const string &s_orig,bool quote,bool ind) {
int indent;
string s=trim_string(s_orig,indent),ret;
for (string::const_iterator it=s.begin();it!=s.end();++it) {
switch (*it) {
case '\\': case '%': case '_': case '$': case '{': case '}': case '^':
ret+="\\";
ret+=string(1,*it);
break;
default:
ret+=string(1,*it);
break;
}
}
if (ind && indent>0)
for (int i=0;i<indent;++i) ret="\\ "+ret;
if (quote)
return "``"+ret+"''";
return ret;
}
string str_to_scm(const string &s_orig,bool quote,bool ind) {
int indent;
string s=trim_string(s_orig,indent),ret;
string::const_iterator it=s.begin(),itend=s.end();
for (;it!=itend;++it) {
switch (*it) {
case '\\': case '"':
ret+="\\\\\\";
ret+=string(1,*it);
break;
case '<':
ret+="<less>";
break;
case '>':
ret+="<gtr>";
break;
default:
ret+=string(1,*it);
break;
}
}
if (ind && indent>0)
for (int i=0;i<indent;++i) ret=" "+ret;
if (quote)
return "``"+ret+"''";
return ret;
}
string str_to_mml(const string &s_orig,bool ind,const string &tag="",int idc=0) {
int indent;
string s=trim_string(s_orig,indent),ret;
for (string::const_iterator it=s.begin();it!=s.end();++it) {
switch (*it) {
case '&':
ret+="&";
break;
case '<':
ret+="<";
break;
case '>':
ret+=">";
break;
default:
ret+=string(1,*it);
break;
}
}
if (!tag.empty())
ret=mml_tag(tag,ret,idc);
if (ind && indent>0)
ret=mml_tag("mphantom",mml_tag("mtext",string(indent,'x')))+ret;
return ret;
}
void string2markup(MarkupBlock &ml,const string &s_orig,int flags,int &idc) {
bool tex=(flags & _MARKUP_LATEX)!=0;
bool content=(flags & _MARKUP_MATHML_CONTENT)!=0;
bool presentation=(flags & _MARKUP_MATHML_PRESENTATION)!=0;
bool scm=(flags & _MARKUP_SCHEME)!=0;
bool code=(flags & _MARKUP_CODE)!=0;
bool quote=(flags & _MARKUP_QUOTE)!=0;
bool err=(flags & _MARKUP_ERROR)!=0;
vector<string> lines;
size_t pos,last_pos=0,p;
string s;
while ((pos=s_orig.find("\n",last_pos))!=string::npos) {
s=s_orig.substr(last_pos,pos-last_pos);
for (p=0;p<s.length() && s.at(p)==' ';++p);
if (p<s.length())
lines.push_back(s);
last_pos=pos+1;
}
lines.push_back(s_orig.substr(last_pos));
if (tex) {
string textext=code?"\\texttt":"\\text";
for (vector<string>::const_iterator it=lines.begin();it!=lines.end();++it) {
ml.latex+=(it!=lines.begin()?"\\\\":"")+textext+"{"+str_to_tex(*it,quote,code)+"}";
}
if (lines.size()>1)
ml.latex="\\begin{array}{l}"+ml.latex+"\\end{array}";
}
if (scm) {
if (lines.size()==1)
ml.scheme="(text "+string(code?"(with \"font-family\" \"tt\" \"":"\"")+
str_to_scm(lines.front(),quote,code)+"\")"+(code?")":"");
else {
ml.scheme="(text "+string(code?"(with \"font-family\" \"tt\" ":"")+"(tabular (tformat (table";
for (vector<string>::const_iterator it=lines.begin();it!=lines.end();++it) {
ml.scheme+=" (row (cell \""+str_to_scm(*it,quote,code)+"\"))";
}
ml.scheme+="))))"+string(code?")":"");
}
}
if (content) {
if (err)
ml.content=mml_tag("cerror",str_to_mml(s_orig,false,"cs"),++idc);
else
ml.content=str_to_mml(s_orig,false,"cs",++idc);
}
if (presentation) {
string mtag=quote?"ms":"mtext";
if (lines.size()==1)
ml.markup=mml_tag(mtag,str_to_mml(lines.front(),false),err?0:idc,
code?"mathvariant":"","monospace");
else {
for (vector<string>::const_iterator it=lines.begin();it!=lines.end();++it) {
ml.markup+="<mtr><mtd>"+str_to_mml(*it,code,mtag)+"</mtd></mtr>";
}
ml.markup=mml_tag("mtable",ml.markup,err?0:idc,
"columnalign","left",code?"mathvariant":"","monospace");
}
if (err)
ml.markup=mml_tag("merror",ml.markup,idc);
}
}
#define NUM_UNIT_PAIRS 48
const string unit_pairs[NUM_UNIT_PAIRS][2]={
/* "units_imperial1" */
{ "acre","acre" },
{ "bar","bar" },
{ "degree_Fahrenheit","degreeF" },
{ "foot","ft" },
{ "mile","mile" },
{ "pint","ptUK" },
{ "pound_force","lbf" },
{ "pound_mass","lb" },
{ "yard","yd" },
/* "units_metric1" */
{ "Coulomb","C" },
{ "Joule","J" },
{ "Newton","N" },
{ "Pascal","Pa" },
{ "Watt","W" },
{ "amp","A" },
{ "degree_Kelvin","K" },
{ "gramme","g" },
{ "litre","l" },
{ "metre","m" },
{ "second","s" },
{ "volt","V" },
/* "units_time1" */
{ "calendar_year","yr" },
{ "day","d" },
{ "hour","h" },
{ "minute","mn" },
/* "units_us1" */
{ "foot_us_survey","ftUS" },
{ "mile_us_survey","miUS" },
/* "SI_BaseUnits1" */
{ "candela","cd" },
{ "mole","mol" },
/* "SI_NamedDerivedUnits1" */
{ "becquerel","Bq" },
{ "farad","F" },
{ "gray","Gy" },
{ "henry","H" },
{ "hertz","Hz" },
{ "lumen","lm" },
{ "lux","lx" },
{ "ohm","Ohm" },
{ "radian","rad" },
{ "siemens","S" },
{ "sievert","Sv" },
{ "steradian","sr" },
{ "tesla","T" },
{ "weber","Wb" },
/* "SIUsed_OffSystemMeasuredUnits1" */
{ "electronvolt","eV" },
/* "SIUsed_OffSystemUnits1" */
{ "degree-of-arc","deg" },
{ "minute-of-arc","arcmin" },
{ "second-of-arc","arcs" },
{ "tonne","t" }
};
#define NUM_SI_PREFIX_PAIRS 20
const string si_prefix_pairs[NUM_SI_PREFIX_PAIRS][2]={
{ "yotta","Y" },
{ "zetta","Z" },
{ "exa","E" },
{ "peta","P" },
{ "tera","T" },
{ "giga","G" },
{ "mega","M" },
{ "kilo","kK" },
{ "hecto","hH" },
{ "deka","D" },
{ "deci","d" },
{ "centi","c" },
{ "milli","m" },
{ "micro","µ" },
{ "nano","n" },
{ "pico","p" },
{ "femto","f" },
{ "atto","a" },
{ "zepto","z" },
{ "yocto","y" }
};
string unit2content(const string &s,int idc) {
string ret,p,cd;
bool has_prefix=false;
int i,j;
for (i=0;i<NUM_UNIT_PAIRS;++i) {
if (s==unit_pairs[i][1]) {
ret=unit_pairs[i][0];
break;
}
}
if (ret.empty()) {
int ofs=(s.substr(0,2)=="µ"?2:1);
p=s.substr(0,ofs);
for (j=0;j<NUM_SI_PREFIX_PAIRS;++j) {
if (si_prefix_pairs[j][1].find(p)!=string::npos) {
has_prefix=true;
break;
}
}
if (has_prefix) {
for (i=0;i<NUM_UNIT_PAIRS;++i) {
if (s==unit_pairs[i][1].substr(ofs)) {
ret=unit_pairs[i][0];
break;
}
}
}
}
if (ret.empty())
return mml_tag("ci",s,idc);
if (i<9)
cd="units_imperial1";
else if (i<21)
cd="units_metric1";
else if (i<25)
cd="units_time1";
else if (i<27)
cd="units_us1";
else if (i<29)
cd="SI_BaseUnits1";
else if (i<43)
cd="SI_NamedDerivedUnits1";
else if (i<44)
cd="SIUsed_OffSystemMeasuredUnits1";
else
cd="SIUsed_OffSystemUnits1";
if (!has_prefix)
return mml_tag("csymbol",ret,idc,"cd",cd);
return mml_tag("apply",mml_tag("csymbol","prefix",0,"cd","units_ops1")+
mml_tag("csymbol",si_prefix_pairs[j][0],0,"cd","units_siprefix1")+ret,
idc);
}
string constant2content(const string &s,int idc) {
string ret;
if (s=="NA") ret="Avogadros_constant";
else if (s=="k") ret="Boltzmann_constant";
else if (s=="F") ret="Faradays_constant";
else if (s=="h") ret="Planck_constant";
else if (s=="R") ret="gas_constant";
else if (s=="G") ret="gravitational_constant";
else if (s=="mu0") ret="magnetic_constant";
else if (s=="c") ret="speed_of_light";
else return mml_tag("ci",s,idc);
return mml_tag("csymbol",ret,idc,"cd","physical_consts1");
}
string idnt2markup(const string &s_orig,int typ,bool unit,int idc,bool &isname) {
bool tex=typ==0;
bool scm=typ==1;
isname=false;
if (unit && !s_orig.empty() && s_orig[0]=='_') {
string s=s_orig.substr(1);
if (s=="a0_")
return tex?"a_0":(scm?"(concat \"<space><nosymbol>a\" (rsub \"0\") \"<nosymbol>\")"
:mml_tag("msub","<mi>a</mi><mn>0</mn>",idc));
else if (s=="alpha_")
return tex?"\\alpha ":(scm?"<space><nosymbol><alpha><nosymbol>":mml_tag("mi","α",idc));
else if (s=="c_")
return tex?"c":(scm?"<space><nosymbol>c<nosymbol>":mml_tag("mi","c",idc));
else if (s=="c3_")
return tex?"b":(scm?"<space><nosymbol>b<nosymbol>":mml_tag("mi","b",idc));
else if (s=="epsilon0_")
return tex?"\\varepsilon_0"
:(scm?"(concat \"<space><nosymbol><varepsilon>\" (rsub \"0\") \"<nosymbol>\")"
:mml_tag("msub","<mi>ε</mi><mn>0</mn>",idc));
else if (s=="epsilonox_")
return tex?"\\varepsilon_{\\mathrm{SiO}_2}"
:(scm?"(concat \"<space><nosymbol><varepsilon>\" (rsub (concat \"SiO\" (rsub \"2\"))) \"<nosymbol>\")"
:mml_tag("msub","<mi>ε</mi><msub><mi>SiO</mi><mn>2</mn></msub>",idc));
else if (s=="epsilonsi_")
return tex?"\\varepsilon_\\mathrm{Si}"
:(scm?"(concat \"<space><nosymbol><varepsilon>\" (rsub \"Si\") \"<nosymbol>\")"
:mml_tag("msub","<mi>ε</mi><mi>Si<mi>",idc));
else if (s=="F_")
return tex?"F":(scm?"<space><nosymbol>F<nosymbol>":mml_tag("mi","F",idc));
else if (s=="f0_")
return tex?"f_0":(scm?"(concat \"<space><nosymbol>f\" (rsub \"0\") \"<nosymbol>\")"
:mml_tag("msub","<mi>f</mi><mn>0</mn>",idc));
else if (s=="g_")
return tex?"g":(scm?"<space><nosymbol>g<nosymbol>":mml_tag("mi","g",idc));
else if (s=="G_")
return tex?"G":(scm?"<space><nosymbol>G<nosymbol>":mml_tag("mi","G",idc));
else if (s=="h_")
return tex?"h":(scm?"<space><nosymbol>h<nosymbol>":mml_tag("mi","h",idc));
else if (s=="hbar_")
return tex?"\\hslash ":(scm?"<space><nosymbol><hbar><nosymbol>":mml_tag("mi","ℏ",idc));
else if (s=="I0_")
return tex?"I_0":(scm?"(concat \"<space><nosymbol>I\" (rsub \"0\") \"<nosymbol>\")"
:mml_tag("msub","<mi>I</mi><mn>0</mn>",idc));
else if (s=="k_")
return tex?"k":(scm?"<space><nosymbol>k<nosymbol>":mml_tag("mi","k",idc));
else if (s=="lambda0_")
return tex?"\\lambda_0":(scm?"(concat \"<space><nosymbol><lambda>\" (rsub \"0\") \"<nosymbol>\")"
:mml_tag("msub","<mi>λ</mi><mn>0</mn>",idc));
else if (s=="lambdac_")
return tex?"\\lambda ":(scm?"<space><nosymbol><lambda><nosymbol>":mml_tag("mi","λ",idc));
else if (s=="me_")
return tex?"m_\\mathrm{e}"
:(scm?"(concat \"<space><nosymbol>m\" (rsub (math-up \"e\")) \"<nosymbol>\")"
:mml_tag("msub","<mi>m</mi><mi mathvariant='normal'>e</mi>",idc));
else if (s=="mEarth_")
return tex?"M_\\oplus "
:(scm?"(concat \"<space><nosymbol>M\" (rsub \"<oplus>\") \"<nosymbol>\")"
:mml_tag("msub","<mi>M</mi><mi>⊕</mi>",idc));
else if (s=="mp_")
return tex?"m_\\mathrm{p}"
:(scm?"(concat \"<space><nosymbol>m\" (rsub (math-up \"p\")) \"<nosymbol>\")"
:mml_tag("msub","<mi>m</mi><mi mathvariant='normal'>p</mi>",idc));
else if (s=="mu0_")
return tex?"\\mu_0":(scm?"(concat \"<space><nosymbol><mu>\" (rsub \"0\") \"<nosymbol>\")"
:mml_tag("msub","<mi>μ</mi><mn>0</mn>",idc));
else if (s=="muB_")
return tex?"\\mu_\\mathrm{B}"
:(scm?"(concat \"<space><nosymbol><mu>\" (rsub (math-up \"B\")) \"<nosymbol>\")"
:mml_tag("msub","<mi>μ</mi><mi mathvariant='normal'>B</mi>",idc));
else if (s=="muN_")
return tex?"\\mu_\\mathrm{N}"
:(scm?"(concat \"<space><nosymbol><mu>\" (rsub (text \"N\")) \"<nosymbol>\")"
:mml_tag("msub","<mi>μ</mi><mi mathvariant='normal'>N</mi>",idc));
else if (s=="NA_")
return tex?"N_A":(scm?"(concat \"<space><nosymbol>N\" (rsub \"A\") \"<nosymbol>\")"
:mml_tag("msub","<mi>N</mi><mi>A</mi>",idc));
else if (s=="phi_")
return tex?"\\Phi_0":(scm?"(concat \"<space><nosymbol><Phi>\" (rsub \"0\") \"<nosymbol>\")"
:mml_tag("msub","<mi>Φ</mi><mn>0</mn>",idc));
else if (s=="PSun_")
return tex?"P_\\odot "
:(scm?"(concat \"<space><nosymbol>P\" (rsub \"<odot>\") \"<nosymbol>\")"
:mml_tag("msub","<mi>P</mi><mi>⊙</mi>",idc));
else if (s=="q_")
return tex?"q":(scm?"<space><nosymbol>q<nosymbol>":mml_tag("mi","q",idc));
else if (s=="R_")
return tex || scm?"<space><nosymbol>R<nosymbol>":mml_tag("mi","R",idc);
else if (s=="REarth_")
return tex?"R_\\oplus "
:(scm?"(concat \"<space><nosymbol>R\" (rsub \"<oplus>\") \"<nosymbol>\")"
:mml_tag("msub","<mi>R</mi><mi>⊕</mi>",idc));
else if (s=="Rinfinity_")
return tex?"R_\\infty "
:(scm?"(concat \"<space><nosymbol>R\" (rsub \"<infty>\") \"<nosymbol>\")"
:mml_tag("msub","<mi>R</mi><mi>∞</mi>",idc));
else if (s=="RSun_")
return tex?"R_\\odot "
:(scm?"(concat \"<space><nosymbol>R\" (rsub \"<odot>\") \"<nosymbol>\")"
:mml_tag("msub","<mi>R</mi><mi>⊙</mi>",idc));
else if (s=="sigma_")
return tex?"\\sigma ":(scm?"<space><nosymbol><sigma><nosymbol>":mml_tag("mi","σ",idc));
else if (s=="StdP_")
return tex?"P_\\mathrm{std}"
:(scm?"(concat \"<space>P\" (rsub \"std\"))":mml_tag("msub","<mi>P</mi><mi>std</mi>",idc));
else if (s=="StdT_")
return tex?"T_\\mathrm{std}"
:(scm?"(concat \"<space>T\" (rsub \"std\"))":mml_tag("msub","<mi>T</mi><mi>std</mi>",idc));
else if (s=="Vm_")
return tex?"V_\\mathrm{m}"
:(scm?"(concat \"<space><nosymbol>V\" (rsub (text \"m\")) \"<nosymbol>\")"
:mml_tag("msub","<mi>V</mi><mi mathvariant='normal'>m</mi>",idc));
else if (s=="degreeF")
return tex?"{}^\\circ\\mathrm{F}"
:(scm?"(math-up (concat (degreesign) \"F\"))"
:mml_tag("mi","℉",idc,"class","MathML-Unit","mathvariant","normal"));
else if (s=="ozfl")
return tex?"\\mathrm{oz}_\\mathrm{fl}"
:(scm?"(concat \"<space><nosymbol>oz\" (rsub \"fl\"))"
:mml_tag("msub","<mi>oz</mi><mi>fl</mi>",idc,"class","MathML-Unit"));
else if (s=="fermi")
return tex?"\\mathrm{fm}"
:(scm?"<space><nosymbol>fm":mml_tag("mi","fm",idc,"class","MathML-Unit"));
else if (s=="flam")
return tex?"\\mathrm{fL}"
:(scm?"<space><nosymbol>fL":mml_tag("mi","fL",idc,"class","MathML-Unit"));
else if (s=="deg")
return tex?"{}^\\circ "
:(scm?"(concat \"<nosymbol>\" (degreesign))"
:mml_tag("mi","°",idc,"class","MathML-Unit"));
else if (s=="arcmin")
return tex?"'":(scm?"(rprime \"'\")":mml_tag("mi","′",idc,"class","MathML-Unit"));
else if (s=="arcs")
return tex?"''":(scm?"(rprime \"''\")":mml_tag("mi","″",idc,"class","MathML-Unit"));
else if (s=="Rankine")
return tex?"{}^\\circ\\mathrm{R}"
:(scm?"(math-up (concat (degreesign) \"R\"))"
:mml_tag("mi","°R",idc,"class","MathML-Unit"));
else if (s=="lam")
return tex?"\\mathrm{L}"
:(scm?"(math-up \"<space><nosymbol>L\")":mml_tag("mi","L",idc,"class","MathML-Unit","mathvariant","normal"));
else if (s=="inH2O")
return tex?"\\mathrm{in}_\\mathrm{H_2O}"
:(scm?"(concat \"<space><nosymbol>in\" (rsub (math-up (concat \"H\" (rsub \"2\") \"O\"))))"
:mml_tag("msub","<mi>in</mi><mrow><msub><mn>H</mn><mn>2</mn></msub><mn>O</mn></mrow>",
idc,"class","MathML-Unit"));
else if (s=="buUS")
return tex?"\\mathrm{bu}_\\mathrm{US}"
:(scm?"(concat \"<space><nosymbol>bu\" (rsub \"US\"))"
:mml_tag("msub","<mi>bu</mi><mi>US</mi>",idc,"class","MathML-Unit"));
else if (s=="ftUS")
return tex?"\\mathrm{ft}_\\mathrm{US}"
:(scm?"(concat \"<space><nosymbol>ft\" (rsub \"US\"))"
:mml_tag("msub","<mi>ft</mi><mi>US</mi>",idc,"class","MathML-Unit"));
else if (s=="galC")
return tex?"\\mathrm{gal}_\\mathrm{C}"
:(scm?"(concat \"<space><nosymbol>gal\" (rsub (text \"C\")))"
:mml_tag("msub","<mi>gal</mi><mi>C</mi>",idc,"class","MathML-Unit"));
else if (s=="galUK")
return tex?"\\mathrm{gal}_\\mathrm{UK}"
:(scm?"(concat \"<space><nosymbol>gal\" (rsub \"UK\"))"
:mml_tag("msub","<mi>gal</mi><mi>UK</mi>",idc,"class","MathML-Unit"));
else if (s=="galUS")
return tex?"\\mathrm{gal}_\\mathrm{US}"
:(scm?"(concat \"<space><nosymbol>gal\" (rsub \"US\"))"
:mml_tag("msub","<mi>gal</mi><mi>US</mi>",idc,"class","MathML-Unit"));
else if (s=="inHg")
return tex?"\\mathrm{in}_\\mathrm{Hg}"
:(scm?"(concat \"<space><nosymbol>in\" (rsub \"Hg\"))"
:mml_tag("msub","<mi>in</mi><mi>Hg</mi>",idc,"class","MathML-Unit"));
else if (s=="miUS")
return tex?"\\mathrm{mi}_\\mathrm{US}"
:(scm?"(concat \"<space><nosymbol>mi\" (rsub \"US\"))"
:mml_tag("msub","<mi>mi</mi><mi>US</mi>",idc,"class","MathML-Unit"));
else if (s=="mmHg")
return tex?"\\mathrm{mm}_\\mathrm{Hg}"
:(scm?"(concat \"<space><nosymbol>mm\" (rsub \"Hg\"))"
:mml_tag("msub","<mi>mm</mi><mi>Hg</mi>",idc,"class","MathML-Unit"));
else if (s=="ozUK")
return tex?"\\mathrm{oz}_\\mathrm{UK}"
:(scm?"(concat \"<space><nosymbol>oz\" (rsub \"UK\"))"
:mml_tag("msub","<mi>oz</mi><mi>UK</mi>",idc,"class","MathML-Unit"));
else if (s=="ptUK")
return tex?"\\mathrm{pt}_\\mathrm{UK}"
:(scm?"(concat \"<space><nosymbol>pt\" (rsub \"UK\"))"
:mml_tag("msub","<mi>pt</mi><mi>UK</mi>",idc,"class","MathML-Unit"));
else if (s=="tonUK")
return tex?"\\mathrm{ton}_\\mathrm{UK}"
:(scm?"(concat \"<space><nosymbol>ton\" (rsub \"UK\"))"
:mml_tag("msub","<mi>ton</mi><mi>UK</mi>",idc,"class","MathML-Unit"));
else if (!s.empty() && s[s.size()-1]!='_') {
string p;
if (s.substr(0,2)=="µ") {
p=tex?"\\mu ":(scm?"<up-mu>":"μ");
s=s.substr(2);
}
if (s=="Angstrom")
return tex?"\\mathrm{"+p+"\\AA}"
:(scm?p+"<space><nosymbol><AA>"
:mml_tag("mi",p+"Å",idc,"class","MathML-Unit"));
else if (s.substr(1)=="Angstrom") {
string pr(s.substr(0,1));
return tex?"\\mathrm{"+pr+"\\AA}"
:(scm?"(concat \"<space>\" (math-up \"<nosymbol>"+pr+"<AA>\"))"
:mml_tag("mi",pr+"Å",idc,"class","MathML-Unit"));
} else if (s=="Ohm")
return tex?p+"\\Omega "
:(scm?p+"<space><nosymbol><Omega>":mml_tag("mi",p+"Ω",idc,"class","MathML-Unit"));
else if (s.substr(1)=="Ohm") {
string pr(s.substr(0,1));
return tex?"\\mathrm{"+pr+"}\\Omega "
:(scm?"(concat \"<space>\" (math-up \"<nosymbol>"+pr+"<Omega>\"))"
:mml_tag("mi",pr+"Ω",idc,"class","MathML-Unit"));
} else
return tex?"\\mathrm{"+p+s+"}"
:(scm?"(concat \"<space>\" (math-up \"<nosymbol>"+p+s+"\"))"
:mml_tag("mi",p+s,idc,(p+s).length()<2?" mathvariant":"","normal"));
}
}
/*
if (s_orig=="i")
return tex?"\\mathrm{i}":insert_id(mml_i,idc);
*/
size_t i,len,len_sub;
string s,ssub,mdf="";
if (s_orig.rfind("_")==s_orig.size()-1 && is_greek_letter(s=s_orig.substr(0,s_orig.size()-1))) {
if (s=="phi" || s=="epsilon")
s="var"+s;
return tex?"\\"+s+"\\_":(scm?"<"+s+">_":"&"+s+";_");
}
for (i=s_orig.size();i-->0;) {
if (!isdigit(s_orig[i]))
break;
}
s=s_orig.substr(0,i+1);
bool cnct=false;
if (i<s_orig.size()-1 && (s=="log" || s.size()==1 || is_greek_letter(s) || is_double_letter(s))) {
ssub=s_orig.substr(i+1);
cnct=true;
}
if (ssub.empty()) {
size_t pos=s_orig.find("_");
if (pos!=string::npos) {
s=s_orig.substr(0,pos);
string au=s_orig.substr(pos+1);
if (s.size()==1 || is_greek_letter(s) || is_double_letter(s) || is_digits(au))
ssub=au;
}
}
if (ssub.empty())
s=s_orig;
len=s.size();
if (is_greek_letter(s)) {
if ((tex || scm) && (s=="phi" || s=="epsilon"))
s="var"+s;
s=tex?"\\"+s:(scm?"<"+s+">":"&"+s+";");
len=1;
}
len_sub=ssub.size();
if (!ssub.empty() && is_greek_letter(ssub)) {
if ((tex || scm) && (ssub=="phi" || ssub=="epsilon"))
ssub="var"+ssub;
ssub=tex?"\\"+ssub:(scm?"<"+ssub+">":"&"+ssub+";");
len_sub=1;
}
if (is_double_letter(s)) {
s=s.substr(0,1);
if (tex) {
s="\\mathbf{"+s+"}";
len=1;
} else if (scm) {
s="<b-up-"+s+">";
len=1;
} else mdf="mathvariant";
}
if (len>3 && s[0]=='`' && s.at(1)==32 && s[s.size()-1]=='`')
s=s.substr(2,len-3);
string ret=(len==1?(tex || scm?s:mml_tag("mi",s,ssub.empty()?idc:0))
:(tex?"\\mathrm{"+s+"}":(scm?s:mml_tag("mi",s,ssub.empty()?idc:0,mdf,"bold"))));
if (!ssub.empty()) {
vector<string> tokens;
split_string(ssub,'_',tokens);
bool is_multidim=true;
for (vector<string>::const_iterator tt=tokens.begin();is_multidim && tt!=tokens.end();++tt) {
if (tt->empty() || (*tt!="0" && atof(tt->c_str())==0))
is_multidim=false;
}
if (is_multidim) {
ssub.clear();
for (vector<string>::const_iterator tt=tokens.begin();tt!=tokens.end();++tt) {
if (tt!=tokens.begin())
ssub+=scm?"<nosymbol>":(tex?",":"<mo>,<mo>");
ssub+=*tt;
}
}
if (tex)
ret+="_{"+((len_sub==1 || atof(ssub.c_str())!=0)?ssub:"\\mathrm{"+ssub+"}")+"}";
else if (scm) {
ret="(concat \""+ret+"\" "+(cnct?"":"\"<nosymbol>\" ")+"(rsub \""+ssub+"\"))";
} else
ret=mml_tag("msub",ret+(is_multidim?("<mrow>"+ssub+"</mrow>"):((ssub=="0" || atof(ssub.c_str())!=0?
"<mn>"+ssub+"</mn>":"<mi>"+ssub+"</mi>"))),idc);
} else if (tex) {
int i=0;
while (i<(int)ret.length()) {
if (ret.at(i)=='_') {
ret.replace(i,1,"\\_");
i+=2;
} else ++i;
}
}
if (len>1)
isname=true;
return ret;
}
vecteur flatten_operands(const gen &g) {
assert(g.type==_SYMB);
vecteur ops;
const gen &arg=g._SYMBptr->feuille;
if (arg.type!=_VECT)
ops.push_back(arg);
else {
const vecteur &args=*arg._VECTptr;
for (int i=0;i<int(args.size());++i) {
gen op=args[i];
const_iterateur it;
if (op.type==_SYMB && op._SYMBptr->sommet==g._SYMBptr->sommet) {
vecteur subops=flatten_operands(op);
for (it=subops.begin();it!=subops.end();++it)
ops.push_back(*it);
} else
ops.push_back(op);
}
}
return ops;
}
void parenthesize(MarkupBlock &ml,int flags) {
if ((flags & _MARKUP_LATEX)!=0)
ml.latex="\\left("+ml.latex+"\\right)";
if ((flags & _MARKUP_MATHML_PRESENTATION)!=0)
ml.markup="<mfenced>"+ml.markup+"</mfenced>";
if ((flags & _MARKUP_SCHEME)!=0)
ml.scheme="(around* \"(\" "+ml.scheme+" \")\")";
ml.priority=0;
}
string scm_nobrackets(const string &s) {
return "(around* \"<nobracket>\" "+s+" \"<nobracket>\")";
}
void prepend_minus(MarkupBlock &ml,int flags,bool circled=false,bool mrow=true) {
if (!ml.neg)
return;
string id;
if (ml.priority>_PRIORITY_MUL)
parenthesize(ml,flags);
if ((flags & _MARKUP_LATEX)!=0)
ml.latex=(circled?"\\ominus ":"-")+ml.latex;
if ((flags & _MARKUP_SCHEME)!=0)
ml.scheme=scm_concat((circled?"\"<ominus>\" ":"\"-\" ")+ml.scheme);
if ((flags & _MARKUP_MATHML_CONTENT)!=0) {
if (mrow) {
id=extract_id(ml,true);
ml.content=mml_tag("apply","<minus/>"+ml.content,0,id.empty()?"":"id",id);
} else
ml.content="<apply><minus/>"+ml.content+"</apply>";
}
if ((flags & _MARKUP_MATHML_PRESENTATION)!=0) {
if (mrow) {
id=extract_id(ml,false);
ml.markup=mml_tag("mrow",(circled?"<mo>⊖</mo>":mml_minus)+ml.markup,
0,id.empty()?"":"xref",id);
} else ml.markup=(circled?"<mo>⊖</mo>":mml_minus)+ml.markup;
}
ml.neg=false;
ml.priority=_PRIORITY_MUL;
ml.type=_MLBLOCK_NEG;
}