lyx_mirror/src/mathed/MathExtern.cpp
Richard Heck 740e89de17 The mode setting stuff wasn't working properly for XHTML, so this patch
simplifies it and hopefully does get it working.


git-svn-id: svn://svn.lyx.org/lyx/lyx-devel/trunk@38195 a592a061-630c-0410-9148-cb99ea01b6c8
2011-04-01 22:34:40 +00:00

1507 lines
36 KiB
C++

/**
* \file MathExtern.cpp
* This file is part of LyX, the document processor.
* Licence details can be found in the file COPYING.
*
* \author André Pönitz
*
* Full author contact details are available in file CREDITS.
*/
// This file contains most of the magic that extracts "context
// information" from the unstructered layout-oriented stuff in
// MathData.
#include <config.h>
#include "MathExtern.h"
#include "InsetMathAMSArray.h"
#include "InsetMathArray.h"
#include "InsetMathChar.h"
#include "InsetMathDelim.h"
#include "InsetMathDiff.h"
#include "InsetMathExFunc.h"
#include "InsetMathExInt.h"
#include "InsetMathFont.h"
#include "InsetMathFrac.h"
#include "InsetMathLim.h"
#include "InsetMathMatrix.h"
#include "InsetMathNumber.h"
#include "InsetMathScript.h"
#include "InsetMathString.h"
#include "InsetMathSymbol.h"
#include "MathData.h"
#include "MathParser.h"
#include "MathStream.h"
#include "support/debug.h"
#include "support/docstream.h"
#include "support/FileName.h"
#include "support/filetools.h"
#include "support/lstrings.h"
#include <algorithm>
#include <sstream>
#include <fstream>
#include <memory>
using namespace std;
using namespace lyx::support;
namespace lyx {
namespace {
enum ExternalMath {
HTML,
MAPLE,
MAXIMA,
MATHEMATICA,
MATHML,
OCTAVE
};
static char const * function_names[] = {
"arccos", "arcsin", "arctan", "arg", "bmod",
"cos", "cosh", "cot", "coth", "csc", "deg",
"det", "dim", "exp", "gcd", "hom", "inf", "ker",
"lg", "lim", "liminf", "limsup", "ln", "log",
"max", "min", "sec", "sin", "sinh", "sup",
"tan", "tanh", "Pr", 0
};
static size_t const npos = lyx::docstring::npos;
// define a function for tests
typedef bool TestItemFunc(MathAtom const &);
// define a function for replacing subexpressions
typedef MathAtom ReplaceArgumentFunc(const MathData & ar);
// try to extract a super/subscript
// modify iterator position to point behind the thing
bool extractScript(MathData & ar,
MathData::iterator & pos, MathData::iterator last, bool superscript)
{
// nothing to get here
if (pos == last)
return false;
// is this a scriptinset?
if (!(*pos)->asScriptInset())
return false;
// do we want superscripts only?
if (superscript && !(*pos)->asScriptInset()->hasUp())
return false;
// it is a scriptinset, use it.
ar.push_back(*pos);
++pos;
return true;
}
// try to extract an "argument" to some function.
// returns position behind the argument
MathData::iterator extractArgument(MathData & ar,
MathData::iterator pos, MathData::iterator last,
ExternalMath kind, bool function = false)
{
// nothing to get here
if (pos == last)
return pos;
// something delimited _is_ an argument
if ((*pos)->asDelimInset()) {
// leave out delimiters if this is a function argument
// unless we are doing MathML, in which case we do want
// the delimiters
if (function && kind != MATHML && kind != HTML) {
MathData const & arg = (*pos)->asDelimInset()->cell(0);
MathData::const_iterator cur = arg.begin();
MathData::const_iterator end = arg.end();
while (cur != end)
ar.push_back(*cur++);
} else
ar.push_back(*pos);
++pos;
if (pos == last)
return pos;
// if there's one, get following superscript only if this
// isn't a function argument
if (!function)
extractScript(ar, pos, last, true);
return pos;
}
// always take the first thing, no matter what it is
ar.push_back(*pos);
// go ahead if possible
++pos;
if (pos == last)
return pos;
// if the next item is a super/subscript, it most certainly belongs
// to the thing we have
extractScript(ar, pos, last, false);
if (pos == last)
return pos;
// but it might be more than that.
// FIXME: not implemented
//for (MathData::iterator it = pos + 1; it != last; ++it) {
// // always take the first thing, no matter
// if (it == pos) {
// ar.push_back(*it);
// continue;
// }
//}
return pos;
}
// returns sequence of char with same code starting at it up to end
// it might be less, though...
docstring charSequence
(MathData::const_iterator it, MathData::const_iterator end)
{
docstring s;
for (; it != end && (*it)->asCharInset(); ++it)
s += (*it)->getChar();
return s;
}
void extractStrings(MathData & ar)
{
//lyxerr << "\nStrings from: " << ar << endl;
for (size_t i = 0; i < ar.size(); ++i) {
if (!ar[i]->asCharInset())
continue;
docstring s = charSequence(ar.begin() + i, ar.end());
ar[i] = MathAtom(new InsetMathString(s));
ar.erase(i + 1, i + s.size());
}
//lyxerr << "\nStrings to: " << ar << endl;
}
void extractMatrices(MathData & ar)
{
//lyxerr << "\nMatrices from: " << ar << endl;
// first pass for explicitly delimited stuff
for (size_t i = 0; i < ar.size(); ++i) {
InsetMathDelim const * const inset = ar[i]->asDelimInset();
if (!inset)
continue;
MathData const & arr = inset->cell(0);
if (arr.size() != 1)
continue;
if (!arr.front()->asGridInset())
continue;
ar[i] = MathAtom(new InsetMathMatrix(*(arr.front()->asGridInset()),
inset->left_, inset->right_));
}
// second pass for AMS "pmatrix" etc
for (size_t i = 0; i < ar.size(); ++i) {
InsetMathAMSArray const * const inset = ar[i]->asAMSArrayInset();
if (inset) {
string left = inset->name_left();
if (left == "Vert")
left = "[";
string right = inset->name_right();
if (right == "Vert")
right = "]";
ar[i] = MathAtom(new InsetMathMatrix(*inset, from_ascii(left), from_ascii(right)));
}
}
//lyxerr << "\nMatrices to: " << ar << endl;
}
// convert this inset somehow to a string
bool extractString(MathAtom const & at, docstring & str)
{
if (at->getChar()) {
str = docstring(1, at->getChar());
return true;
}
if (at->asStringInset()) {
str = at->asStringInset()->str();
return true;
}
return false;
}
// is this a known function?
bool isKnownFunction(docstring const & str)
{
for (int i = 0; function_names[i]; ++i) {
if (str == function_names[i])
return true;
}
return false;
}
// extract a function name from this inset
bool extractFunctionName(MathAtom const & at, docstring & str)
{
if (at->asSymbolInset()) {
str = at->asSymbolInset()->name();
return isKnownFunction(str);
}
if (at->asUnknownInset()) {
// assume it is well known...
str = at->name();
return true;
}
if (at->asFontInset() && at->name() == "mathrm") {
// assume it is well known...
MathData const & ar = at->asFontInset()->cell(0);
str = charSequence(ar.begin(), ar.end());
return ar.size() == str.size();
}
return false;
}
bool testString(MathAtom const & at, docstring const & str)
{
docstring s;
return extractString(at, s) && str == s;
}
bool testString(MathAtom const & at, char const * const str)
{
return testString(at, from_ascii(str));
}
// search end of nested sequence
MathData::iterator endNestSearch(
MathData::iterator it,
MathData::iterator last,
TestItemFunc testOpen,
TestItemFunc testClose
)
{
for (int level = 0; it != last; ++it) {
if (testOpen(*it))
++level;
if (testClose(*it))
--level;
if (level == 0)
break;
}
return it;
}
// replace nested sequences by a real Insets
void replaceNested(
MathData & ar,
TestItemFunc testOpen,
TestItemFunc testClose,
ReplaceArgumentFunc replaceArg)
{
Buffer * buf = ar.buffer();
// use indices rather than iterators for the loop because we are going
// to modify the array.
for (size_t i = 0; i < ar.size(); ++i) {
// check whether this is the begin of the sequence
if (!testOpen(ar[i]))
continue;
// search end of sequence
MathData::iterator it = ar.begin() + i;
MathData::iterator jt = endNestSearch(it, ar.end(), testOpen, testClose);
if (jt == ar.end())
continue;
// replace the original stuff by the new inset
ar[i] = replaceArg(MathData(buf, it + 1, jt));
ar.erase(it + 1, jt + 1);
}
}
//
// split scripts into seperate super- and subscript insets. sub goes in
// front of super...
//
void splitScripts(MathData & ar)
{
Buffer * buf = ar.buffer();
//lyxerr << "\nScripts from: " << ar << endl;
for (size_t i = 0; i < ar.size(); ++i) {
InsetMathScript const * script = ar[i]->asScriptInset();
// is this a script inset and do we also have a superscript?
if (!script || !script->hasUp())
continue;
// we must have a nucleus if we only have a superscript
if (!script->hasDown() && script->nuc().size() == 0)
continue;
if (script->nuc().size() == 1) {
// leave alone sums and integrals
InsetMathSymbol const * sym =
script->nuc().front()->asSymbolInset();
if (sym && (sym->name() == "sum" || sym->name() == "int"))
continue;
}
// create extra script inset and move superscript over
InsetMathScript * p = ar[i].nucleus()->asScriptInset();
auto_ptr<InsetMathScript> q(new InsetMathScript(buf, true));
swap(q->up(), p->up());
p->removeScript(true);
// if we don't have a subscript, get rid of the ScriptInset
if (!script->hasDown()) {
MathData arg(p->nuc());
MathData::const_iterator it = arg.begin();
MathData::const_iterator et = arg.end();
ar.erase(i);
while (it != et)
ar.insert(i++, *it++);
} else
++i;
// insert new inset behind
ar.insert(i, MathAtom(q.release()));
}
//lyxerr << "\nScripts to: " << ar << endl;
}
//
// extract exp(...)
//
void extractExps(MathData & ar)
{
Buffer * buf = ar.buffer();
//lyxerr << "\nExps from: " << ar << endl;
for (size_t i = 0; i + 1 < ar.size(); ++i) {
// is this 'e'?
if (ar[i]->getChar() != 'e')
continue;
// we need an exponent but no subscript
InsetMathScript const * sup = ar[i + 1]->asScriptInset();
if (!sup || sup->hasDown())
continue;
// create a proper exp-inset as replacement
ar[i] = MathAtom(new InsetMathExFunc(buf, from_ascii("exp"), sup->cell(1)));
ar.erase(i + 1);
}
//lyxerr << "\nExps to: " << ar << endl;
}
//
// extract det(...) from |matrix|
//
void extractDets(MathData & ar)
{
Buffer * buf = ar.buffer();
//lyxerr << "\ndet from: " << ar << endl;
for (MathData::iterator it = ar.begin(); it != ar.end(); ++it) {
InsetMathDelim const * del = (*it)->asDelimInset();
if (!del)
continue;
if (!del->isAbs())
continue;
*it = MathAtom(new InsetMathExFunc(buf, from_ascii("det"), del->cell(0)));
}
//lyxerr << "\ndet to: " << ar << endl;
}
//
// search numbers
//
bool isDigitOrSimilar(char_type c)
{
return ('0' <= c && c <= '9') || c == '.';
}
// returns sequence of digits
docstring digitSequence
(MathData::const_iterator it, MathData::const_iterator end)
{
docstring s;
for (; it != end && (*it)->asCharInset(); ++it) {
if (!isDigitOrSimilar((*it)->getChar()))
break;
s += (*it)->getChar();
}
return s;
}
void extractNumbers(MathData & ar)
{
//lyxerr << "\nNumbers from: " << ar << endl;
for (size_t i = 0; i < ar.size(); ++i) {
if (!ar[i]->asCharInset())
continue;
if (!isDigitOrSimilar(ar[i]->asCharInset()->getChar()))
continue;
docstring s = digitSequence(ar.begin() + i, ar.end());
ar[i] = MathAtom(new InsetMathNumber(s));
ar.erase(i + 1, i + s.size());
}
//lyxerr << "\nNumbers to: " << ar << endl;
}
//
// search delimiters
//
bool testOpenParen(MathAtom const & at)
{
return testString(at, "(");
}
bool testCloseParen(MathAtom const & at)
{
return testString(at, ")");
}
MathAtom replaceParenDelims(const MathData & ar)
{
return MathAtom(new InsetMathDelim(const_cast<Buffer *>(ar.buffer()),
from_ascii("("), from_ascii(")"), ar));
}
bool testOpenBracket(MathAtom const & at)
{
return testString(at, "[");
}
bool testCloseBracket(MathAtom const & at)
{
return testString(at, "]");
}
MathAtom replaceBracketDelims(const MathData & ar)
{
return MathAtom(new InsetMathDelim(const_cast<Buffer *>(ar.buffer()),
from_ascii("["), from_ascii("]"), ar));
}
// replace '('...')' and '['...']' sequences by a real InsetMathDelim
void extractDelims(MathData & ar)
{
//lyxerr << "\nDelims from: " << ar << endl;
replaceNested(ar, testOpenParen, testCloseParen, replaceParenDelims);
replaceNested(ar, testOpenBracket, testCloseBracket, replaceBracketDelims);
//lyxerr << "\nDelims to: " << ar << endl;
}
//
// search well-known functions
//
// replace 'f' '(...)' and 'f' '^n' '(...)' sequences by a real InsetMathExFunc
// assume 'extractDelims' ran before
void extractFunctions(MathData & ar, ExternalMath kind)
{
// we need at least two items...
if (ar.size() < 2)
return;
Buffer * buf = ar.buffer();
//lyxerr << "\nFunctions from: " << ar << endl;
for (size_t i = 0; i + 1 < ar.size(); ++i) {
MathData::iterator it = ar.begin() + i;
MathData::iterator jt = it + 1;
docstring name;
// is it a function?
// it certainly is if it is well known...
if (!extractFunctionName(*it, name)) {
// is this a user defined function?
// it it probably not, if it doesn't have a name.
if (!extractString(*it, name))
continue;
// it is not if it has no argument
if (jt == ar.end())
continue;
// guess so, if this is followed by
// a DelimInset with a single item in the cell
InsetMathDelim const * del = (*jt)->asDelimInset();
if (!del || del->cell(0).size() != 1)
continue;
// fall trough into main branch
}
// do we have an exponent like in
// 'sin' '^2' 'x' -> 'sin(x)' '^2'
MathData exp;
extractScript(exp, jt, ar.end(), true);
// create a proper inset as replacement
auto_ptr<InsetMathExFunc> p(new InsetMathExFunc(buf, name));
// jt points to the "argument". Get hold of this.
MathData::iterator st =
extractArgument(p->cell(0), jt, ar.end(), kind, true);
// replace the function name by a real function inset
*it = MathAtom(p.release());
// remove the source of the argument from the array
ar.erase(it + 1, st);
// re-insert exponent
ar.insert(i + 1, exp);
//lyxerr << "\nFunctions to: " << ar << endl;
}
}
//
// search integrals
//
bool testSymbol(MathAtom const & at, docstring const & name)
{
return at->asSymbolInset() && at->asSymbolInset()->name() == name;
}
bool testSymbol(MathAtom const & at, char const * const name)
{
return at->asSymbolInset() && at->asSymbolInset()->name() == from_ascii(name);
}
bool testIntSymbol(MathAtom const & at)
{
return testSymbol(at, from_ascii("int"));
}
bool testIntegral(MathAtom const & at)
{
return
testIntSymbol(at) ||
( at->asScriptInset()
&& at->asScriptInset()->nuc().size()
&& testIntSymbol(at->asScriptInset()->nuc().back()) );
}
bool testIntDiff(MathAtom const & at)
{
return testString(at, "d");
}
// replace '\int' ['_^'] x 'd''x'(...)' sequences by a real InsetMathExInt
// assume 'extractDelims' ran before
void extractIntegrals(MathData & ar, ExternalMath kind)
{
// we need at least three items...
if (ar.size() < 3)
return;
Buffer * buf = ar.buffer();
//lyxerr << "\nIntegrals from: " << ar << endl;
for (size_t i = 0; i + 1 < ar.size(); ++i) {
MathData::iterator it = ar.begin() + i;
// search 'd'
MathData::iterator jt =
endNestSearch(it, ar.end(), testIntegral, testIntDiff);
// something sensible found?
if (jt == ar.end())
continue;
// is this a integral name?
if (!testIntegral(*it))
continue;
// core ist part from behind the scripts to the 'd'
auto_ptr<InsetMathExInt> p(new InsetMathExInt(buf, from_ascii("int")));
// handle scripts if available
if (!testIntSymbol(*it)) {
p->cell(2) = (*it)->asScriptInset()->down();
p->cell(3) = (*it)->asScriptInset()->up();
}
p->cell(0) = MathData(buf, it + 1, jt);
// use the "thing" behind the 'd' as differential
MathData::iterator tt = extractArgument(p->cell(1), jt + 1, ar.end(), kind);
// remove used parts
ar.erase(it + 1, tt);
*it = MathAtom(p.release());
}
//lyxerr << "\nIntegrals to: " << ar << endl;
}
bool testTermDelimiter(MathAtom const & at)
{
return testString(at, "+") || testString(at, "-");
}
// try to extract a "term", i.e., something delimited by '+' or '-'.
// returns position behind the term
MathData::iterator extractTerm(MathData & ar,
MathData::iterator pos, MathData::iterator last)
{
while (pos != last && !testTermDelimiter(*pos)) {
ar.push_back(*pos);
++pos;
}
return pos;
}
//
// search sums
//
bool testEqualSign(MathAtom const & at)
{
return testString(at, "=");
}
bool testSumSymbol(MathAtom const & p)
{
return testSymbol(p, from_ascii("sum"));
}
bool testSum(MathAtom const & at)
{
return
testSumSymbol(at) ||
( at->asScriptInset()
&& at->asScriptInset()->nuc().size()
&& testSumSymbol(at->asScriptInset()->nuc().back()) );
}
// replace '\sum' ['_^'] f(x) sequences by a real InsetMathExInt
// assume 'extractDelims' ran before
void extractSums(MathData & ar)
{
// we need at least two items...
if (ar.size() < 2)
return;
Buffer * buf = ar.buffer();
//lyxerr << "\nSums from: " << ar << endl;
for (size_t i = 0; i + 1 < ar.size(); ++i) {
MathData::iterator it = ar.begin() + i;
// is this a sum name?
if (!testSum(ar[i]))
continue;
// create a proper inset as replacement
auto_ptr<InsetMathExInt> p(new InsetMathExInt(buf, from_ascii("sum")));
// collect lower bound and summation index
InsetMathScript const * sub = ar[i]->asScriptInset();
if (sub && sub->hasDown()) {
// try to figure out the summation index from the subscript
MathData const & ar = sub->down();
MathData::const_iterator xt =
find_if(ar.begin(), ar.end(), &testEqualSign);
if (xt != ar.end()) {
// we found a '=', use everything in front of that as index,
// and everything behind as lower index
p->cell(1) = MathData(buf, ar.begin(), xt);
p->cell(2) = MathData(buf, xt + 1, ar.end());
} else {
// use everything as summation index, don't use scripts.
p->cell(1) = ar;
}
}
// collect upper bound
if (sub && sub->hasUp())
p->cell(3) = sub->up();
// use something behind the script as core
MathData::iterator tt = extractTerm(p->cell(0), it + 1, ar.end());
// cleanup
ar.erase(it + 1, tt);
*it = MathAtom(p.release());
}
//lyxerr << "\nSums to: " << ar << endl;
}
//
// search differential stuff
//
// tests for 'd' or '\partial'
bool testDiffItem(MathAtom const & at)
{
if (testString(at, "d") || testSymbol(at, "partial"))
return true;
// we may have d^n .../d and splitScripts() has not yet seen it
InsetMathScript const * sup = at->asScriptInset();
if (sup && !sup->hasDown() && sup->hasUp() && sup->nuc().size() == 1) {
MathAtom const & ma = sup->nuc().front();
return testString(ma, "d") || testSymbol(ma, "partial");
}
return false;
}
bool testDiffArray(MathData const & ar)
{
return ar.size() && testDiffItem(ar.front());
}
bool testDiffFrac(MathAtom const & at)
{
return
at->asFracInset()
&& testDiffArray(at->asFracInset()->cell(0))
&& testDiffArray(at->asFracInset()->cell(1));
}
void extractDiff(MathData & ar)
{
Buffer * buf = ar.buffer();
//lyxerr << "\nDiffs from: " << ar << endl;
for (size_t i = 0; i < ar.size(); ++i) {
MathData::iterator it = ar.begin() + i;
// is this a "differential fraction"?
if (!testDiffFrac(*it))
continue;
InsetMathFrac const * f = (*it)->asFracInset();
if (!f) {
lyxerr << "should not happen" << endl;
continue;
}
// create a proper diff inset
auto_ptr<InsetMathDiff> diff(new InsetMathDiff(buf));
// collect function, let jt point behind last used item
MathData::iterator jt = it + 1;
//int n = 1;
MathData numer(f->cell(0));
splitScripts(numer);
if (numer.size() > 1 && numer[1]->asScriptInset()) {
// this is something like d^n f(x) / d... or d^n / d...
// FIXME
//n = 1;
if (numer.size() > 2)
diff->cell(0) = MathData(buf, numer.begin() + 2, numer.end());
else
jt = extractTerm(diff->cell(0), jt, ar.end());
} else {
// simply d f(x) / d... or d/d...
if (numer.size() > 1)
diff->cell(0) = MathData(buf, numer.begin() + 1, numer.end());
else
jt = extractTerm(diff->cell(0), jt, ar.end());
}
// collect denominator parts
MathData denom(f->cell(1));
splitScripts(denom);
for (MathData::iterator dt = denom.begin(); dt != denom.end();) {
// find the next 'd'
MathData::iterator et
= find_if(dt + 1, denom.end(), &testDiffItem);
// point before this
MathData::iterator st = et - 1;
InsetMathScript const * script = (*st)->asScriptInset();
if (script && script->hasUp()) {
// things like d.../dx^n
int mult = 1;
if (extractNumber(script->up(), mult)) {
//lyxerr << "mult: " << mult << endl;
for (int i = 0; i < mult; ++i)
diff->addDer(MathData(buf, dt + 1, st));
}
} else {
// just d.../dx
diff->addDer(MathData(buf, dt + 1, et));
}
dt = et;
}
// cleanup
ar.erase(it + 1, jt);
*it = MathAtom(diff.release());
}
//lyxerr << "\nDiffs to: " << ar << endl;
}
//
// search limits
//
bool testRightArrow(MathAtom const & at)
{
return testSymbol(at, "to") || testSymbol(at, "rightarrow");
}
// replace '\lim_{x->x0} f(x)' sequences by a real InsetMathLim
// assume 'extractDelims' ran before
void extractLims(MathData & ar)
{
Buffer * buf = ar.buffer();
//lyxerr << "\nLimits from: " << ar << endl;
for (size_t i = 0; i < ar.size(); ++i) {
MathData::iterator it = ar.begin() + i;
// must be a script inset with a subscript (without superscript)
InsetMathScript const * sub = (*it)->asScriptInset();
if (!sub || !sub->hasDown() || sub->hasUp() || sub->nuc().size() != 1)
continue;
// is this a limit function?
if (!testSymbol(sub->nuc().front(), "lim"))
continue;
// subscript must contain a -> symbol
MathData const & s = sub->down();
MathData::const_iterator st = find_if(s.begin(), s.end(), &testRightArrow);
if (st == s.end())
continue;
// the -> splits the subscript int x and x0
MathData x = MathData(buf, s.begin(), st);
MathData x0 = MathData(buf, st + 1, s.end());
// use something behind the script as core
MathData f;
MathData::iterator tt = extractTerm(f, it + 1, ar.end());
// cleanup
ar.erase(it + 1, tt);
// create a proper inset as replacement
*it = MathAtom(new InsetMathLim(buf, f, x, x0));
}
//lyxerr << "\nLimits to: " << ar << endl;
}
//
// combine searches
//
void extractStructure(MathData & ar, ExternalMath kind)
{
//lyxerr << "\nStructure from: " << ar << endl;
if (kind != MATHML && kind != HTML)
splitScripts(ar);
extractDelims(ar);
extractIntegrals(ar, kind);
if (kind != MATHML && kind != HTML)
extractSums(ar);
extractNumbers(ar);
extractMatrices(ar);
extractFunctions(ar, kind);
if (kind != MATHML && kind != HTML) {
extractDets(ar);
extractDiff(ar);
extractExps(ar);
extractLims(ar);
extractStrings(ar);
}
//lyxerr << "\nStructure to: " << ar << endl;
}
namespace {
string captureOutput(string const & cmd, string const & data)
{
// In order to avoid parsing problems with command interpreters
// we pass input data through a file
FileName const cas_tmpfile = FileName::tempName("casinput");
if (cas_tmpfile.empty()) {
lyxerr << "Warning: cannot create temporary file."
<< endl;
return string();
}
ofstream os(cas_tmpfile.toFilesystemEncoding().c_str());
os << data << endl;
os.close();
string command = cmd + " < "
+ quoteName(cas_tmpfile.toFilesystemEncoding());
lyxerr << "calling: " << cmd
<< "\ninput: '" << data << "'" << endl;
cmd_ret const ret = runCommand(command);
cas_tmpfile.removeFile();
return ret.second;
}
size_t get_matching_brace(string const & str, size_t i)
{
int count = 1;
size_t n = str.size();
while (i < n) {
i = str.find_first_of("{}", i+1);
if (i == npos)
return i;
if (str[i] == '{')
++count;
else
--count;
if (count == 0)
return i;
}
return npos;
}
size_t get_matching_brace_back(string const & str, size_t i)
{
int count = 1;
while (i > 0) {
i = str.find_last_of("{}", i-1);
if (i == npos)
return i;
if (str[i] == '}')
++count;
else
--count;
if (count == 0)
return i;
}
return npos;
}
MathData pipeThroughMaxima(docstring const &, MathData const & ar)
{
odocstringstream os;
MaximaStream ms(os);
ms << ar;
docstring expr = os.str();
docstring const header = from_ascii("simpsum:true;");
string out;
for (int i = 0; i < 100; ++i) { // at most 100 attempts
// try to fix missing '*' the hard way
//
// > echo "2x;" | maxima
// ...
// (C1) Incorrect syntax: x is not an infix operator
// 2x;
// ^
//
lyxerr << "checking expr: '" << to_utf8(expr) << "'" << endl;
docstring full = header + "tex(" + expr + ");";
out = captureOutput("maxima", to_utf8(full));
// leave loop if expression syntax is probably ok
if (out.find("Incorrect syntax") == npos)
break;
// search line with "Incorrect syntax"
istringstream is(out);
string line;
while (is) {
getline(is, line);
if (line.find("Incorrect syntax") != npos)
break;
}
// 2nd next line is the one with caret
getline(is, line);
getline(is, line);
size_t pos = line.find('^');
lyxerr << "found caret at pos: '" << pos << "'" << endl;
if (pos == npos || pos < 4)
break; // caret position not found
pos -= 4; // skip the "tex(" part
if (expr[pos] == '*')
break; // two '*' in a row are definitely bad
expr.insert(pos, from_ascii("*"));
}
vector<string> tmp = getVectorFromString(out, "$$");
if (tmp.size() < 2)
return MathData();
out = subst(tmp[1], "\\>", string());
lyxerr << "output: '" << out << "'" << endl;
// Ugly code that tries to make the result prettier
size_t i = out.find("\\mathchoice");
while (i != npos) {
size_t j = get_matching_brace(out, i + 12);
size_t k = get_matching_brace(out, j + 1);
k = get_matching_brace(out, k + 1);
k = get_matching_brace(out, k + 1);
string mid = out.substr(i + 13, j - i - 13);
if (mid.find("\\over") != npos)
mid = '{' + mid + '}';
out = out.substr(0, i)
+ mid
+ out.substr(k + 1);
//lyxerr << "output: " << out << endl;
i = out.find("\\mathchoice", i);
break;
}
i = out.find("\\over");
while (i != npos) {
size_t j = get_matching_brace_back(out, i - 1);
if (j == npos || j == 0)
break;
size_t k = get_matching_brace(out, i + 5);
if (k == npos || k + 1 == out.size())
break;
out = out.substr(0, j - 1)
+ "\\frac"
+ out.substr(j, i - j)
+ out.substr(i + 5, k - i - 4)
+ out.substr(k + 2);
//lyxerr << "output: " << out << endl;
i = out.find("\\over", i + 4);
}
MathData res;
mathed_parse_cell(res, from_utf8(out));
return res;
}
MathData pipeThroughMaple(docstring const & extra, MathData const & ar)
{
string header = "readlib(latex):\n";
// remove the \\it for variable names
//"#`latex/csname_font` := `\\it `:"
header +=
"`latex/csname_font` := ``:\n";
// export matrices in (...) instead of [...]
header +=
"`latex/latex/matrix` := "
"subs(`[`=`(`, `]`=`)`,"
"eval(`latex/latex/matrix`)):\n";
// replace \\cdots with proper '*'
header +=
"`latex/latex/*` := "
"subs(`\\,`=`\\cdot `,"
"eval(`latex/latex/*`)):\n";
// remove spurious \\noalign{\\medskip} in matrix output
header +=
"`latex/latex/matrix`:= "
"subs(`\\\\\\\\\\\\noalign{\\\\medskip}` = `\\\\\\\\`,"
"eval(`latex/latex/matrix`)):\n";
//"#`latex/latex/symbol` "
// " := subs((\\'_\\' = \\'`\\_`\\',eval(`latex/latex/symbol`)): ";
string trailer = "quit;";
odocstringstream os;
MapleStream ms(os);
ms << ar;
string expr = to_utf8(os.str());
lyxerr << "ar: '" << ar << "'\n"
<< "ms: '" << expr << "'" << endl;
for (int i = 0; i < 100; ++i) { // at most 100 attempts
// try to fix missing '*' the hard way by using mint
//
// ... > echo "1A;" | mint -i 1 -S -s -q
// on line 1: 1A;
// ^ syntax error -
// Probably missing an operator such as * p
//
lyxerr << "checking expr: '" << expr << "'" << endl;
string out = captureOutput("mint -i 1 -S -s -q -q", expr + ';');
if (out.empty())
break; // expression syntax is ok
istringstream is(out);
string line;
getline(is, line);
if (line.find("on line") != 0)
break; // error message not identified
getline(is, line);
size_t pos = line.find('^');
if (pos == string::npos || pos < 15)
break; // caret position not found
pos -= 15; // skip the "on line ..." part
if (expr[pos] == '*' || (pos > 0 && expr[pos - 1] == '*'))
break; // two '*' in a row are definitely bad
expr.insert(pos, 1, '*');
}
// FIXME UNICODE Is utf8 encoding correct?
string full = "latex(" + to_utf8(extra) + '(' + expr + "));";
string out = captureOutput("maple -q", header + full + trailer);
// change \_ into _
//
MathData res;
mathed_parse_cell(res, from_utf8(out));
return res;
}
MathData pipeThroughOctave(docstring const &, MathData const & ar)
{
odocstringstream os;
OctaveStream vs(os);
vs << ar;
string expr = to_utf8(os.str());
string out;
// FIXME const cast
Buffer * buf = const_cast<Buffer *>(ar.buffer());
lyxerr << "pipe: ar: '" << ar << "'\n"
<< "pipe: expr: '" << expr << "'" << endl;
for (int i = 0; i < 100; ++i) { // at most 100 attempts
//
// try to fix missing '*' the hard way
// parse error:
// >>> ([[1 2 3 ];[2 3 1 ];[3 1 2 ]])([[1 2 3 ];[2 3 1 ];[3 1 2 ]])
// ^
//
lyxerr << "checking expr: '" << expr << "'" << endl;
out = captureOutput("octave -q 2>&1", expr);
lyxerr << "output: '" << out << "'" << endl;
// leave loop if expression syntax is probably ok
if (out.find("parse error:") == string::npos)
break;
// search line with single caret
istringstream is(out);
string line;
while (is) {
getline(is, line);
lyxerr << "skipping line: '" << line << "'" << endl;
if (line.find(">>> ") != string::npos)
break;
}
// found line with error, next line is the one with caret
getline(is, line);
size_t pos = line.find('^');
lyxerr << "caret line: '" << line << "'" << endl;
lyxerr << "found caret at pos: '" << pos << "'" << endl;
if (pos == string::npos || pos < 4)
break; // caret position not found
pos -= 4; // skip the ">>> " part
if (expr[pos] == '*')
break; // two '*' in a row are definitely bad
expr.insert(pos, 1, '*');
}
// remove 'ans = ' taking into account that there may be an
// ansi control sequence before, such as '\033[?1034hans = '
size_t i = out.find("ans = ");
if (i == string::npos)
return MathData();
out = out.substr(i + 6);
// parse output as matrix or single number
MathAtom at(new InsetMathArray(buf, from_ascii("array"), from_utf8(out)));
InsetMathArray const * mat = at->asArrayInset();
MathData res(buf);
if (mat->ncols() == 1 && mat->nrows() == 1)
res.append(mat->cell(0));
else {
res.push_back(MathAtom(
new InsetMathDelim(buf, from_ascii("("), from_ascii(")"))));
res.back().nucleus()->cell(0).push_back(at);
}
return res;
}
string fromMathematicaName(string const & name)
{
if (name == "Sin") return "sin";
if (name == "Sinh") return "sinh";
if (name == "ArcSin") return "arcsin";
if (name == "Cos") return "cos";
if (name == "Cosh") return "cosh";
if (name == "ArcCos") return "arccos";
if (name == "Tan") return "tan";
if (name == "Tanh") return "tanh";
if (name == "ArcTan") return "arctan";
if (name == "Cot") return "cot";
if (name == "Coth") return "coth";
if (name == "Csc") return "csc";
if (name == "Sec") return "sec";
if (name == "Exp") return "exp";
if (name == "Log") return "log";
if (name == "Arg" ) return "arg";
if (name == "Det" ) return "det";
if (name == "GCD" ) return "gcd";
if (name == "Max" ) return "max";
if (name == "Min" ) return "min";
if (name == "Erf" ) return "erf";
if (name == "Erfc" ) return "erfc";
return name;
}
void prettifyMathematicaOutput(string & out, string const & macroName,
bool roman, bool translate)
{
string const macro = "\\" + macroName + "{";
size_t const len = macro.length();
size_t i = out.find(macro);
while (i != npos) {
size_t const j = get_matching_brace(out, i + len);
string const name = out.substr(i + len, j - i - len);
out = out.substr(0, i)
+ (roman ? "\\mathrm{" : "")
+ (translate ? fromMathematicaName(name) : name)
+ out.substr(roman ? j : j + 1);
//lyxerr << "output: " << out << endl;
i = out.find(macro, i);
}
}
MathData pipeThroughMathematica(docstring const &, MathData const & ar)
{
odocstringstream os;
MathematicaStream ms(os);
ms << ar;
// FIXME UNICODE Is utf8 encoding correct?
string const expr = to_utf8(os.str());
string out;
lyxerr << "expr: '" << expr << "'" << endl;
string const full = "TeXForm[" + expr + "]";
out = captureOutput("math", full);
lyxerr << "output: '" << out << "'" << endl;
size_t pos1 = out.find("Out[1]//TeXForm= ");
size_t pos2 = out.find("In[2]:=");
if (pos1 == string::npos || pos2 == string::npos)
return MathData();
// get everything from pos1+17 to pos2
out = out.substr(pos1 + 17, pos2 - pos1 - 17);
out = subst(subst(out, '\r', ' '), '\n', ' ');
// tries to make the result prettier
prettifyMathematicaOutput(out, "Mfunction", true, true);
prettifyMathematicaOutput(out, "Muserfunction", true, false);
prettifyMathematicaOutput(out, "Mvariable", false, false);
MathData res;
mathed_parse_cell(res, from_utf8(out));
return res;
}
}
} // anon namespace
void write(MathData const & dat, WriteStream & wi)
{
MathData ar = dat;
extractStrings(ar);
wi.firstitem() = true;
for (MathData::const_iterator it = ar.begin(); it != ar.end(); ++it) {
(*it)->write(wi);
wi.firstitem() = false;
}
}
void normalize(MathData const & ar, NormalStream & os)
{
for (MathData::const_iterator it = ar.begin(); it != ar.end(); ++it)
(*it)->normalize(os);
}
void octave(MathData const & dat, OctaveStream & os)
{
MathData ar = dat;
extractStructure(ar, OCTAVE);
for (MathData::const_iterator it = ar.begin(); it != ar.end(); ++it)
(*it)->octave(os);
}
void maple(MathData const & dat, MapleStream & os)
{
MathData ar = dat;
extractStructure(ar, MAPLE);
for (MathData::const_iterator it = ar.begin(); it != ar.end(); ++it)
(*it)->maple(os);
}
void maxima(MathData const & dat, MaximaStream & os)
{
MathData ar = dat;
extractStructure(ar, MAXIMA);
for (MathData::const_iterator it = ar.begin(); it != ar.end(); ++it)
(*it)->maxima(os);
}
void mathematica(MathData const & dat, MathematicaStream & os)
{
MathData ar = dat;
extractStructure(ar, MATHEMATICA);
for (MathData::const_iterator it = ar.begin(); it != ar.end(); ++it)
(*it)->mathematica(os);
}
void mathmlize(MathData const & dat, MathStream & os)
{
MathData ar = dat;
extractStructure(ar, MATHML);
if (ar.size() == 0)
os << "<mrow/>";
else if (ar.size() == 1)
os << ar.front();
else {
os << MTag("mrow");
for (MathData::const_iterator it = ar.begin(); it != ar.end(); ++it)
(*it)->mathmlize(os);
os << ETag("mrow");
}
}
void htmlize(MathData const & dat, HtmlStream & os)
{
MathData ar = dat;
extractStructure(ar, HTML);
if (ar.size() == 0)
return;
if (ar.size() == 1) {
os << ar.front();
return;
}
for (MathData::const_iterator it = ar.begin(); it != ar.end(); ++it)
(*it)->htmlize(os);
}
// convert this inset somehow to a number
bool extractNumber(MathData const & ar, int & i)
{
idocstringstream is(charSequence(ar.begin(), ar.end()));
is >> i;
return is;
}
bool extractNumber(MathData const & ar, double & d)
{
idocstringstream is(charSequence(ar.begin(), ar.end()));
is >> d;
return is;
}
MathData pipeThroughExtern(string const & lang, docstring const & extra,
MathData const & ar)
{
if (lang == "octave")
return pipeThroughOctave(extra, ar);
if (lang == "maxima")
return pipeThroughMaxima(extra, ar);
if (lang == "maple")
return pipeThroughMaple(extra, ar);
if (lang == "mathematica")
return pipeThroughMathematica(extra, ar);
// create normalized expression
odocstringstream os;
NormalStream ns(os);
os << '[' << extra << ' ';
ns << ar;
os << ']';
// FIXME UNICODE Is utf8 encoding correct?
string data = to_utf8(os.str());
// search external script
FileName const file = libFileSearch("mathed", "extern_" + lang);
if (file.empty()) {
lyxerr << "converter to '" << lang << "' not found" << endl;
return MathData();
}
// run external sript
string out = captureOutput(file.absFileName(), data);
MathData res;
mathed_parse_cell(res, from_utf8(out));
return res;
}
} // namespace lyx