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Improve Computer Algebra System, from Enrico Forestieri <forenr@tlc.unipr.it>

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* src/mathed/math_symbolinset.C
	(void MathSymbolInset::maxima):
	       - newer maxima versions use inf instead of INF
	       - add support for greek pi

	(void MathSymbolInset::mathematica):
	       - add support for \cdot

	* src/mathed/math_stringinset.h
	       - account for the const version of asStringInset()

	* src/mathed/math_extern.C
	(bool extractScript):
	       - added bool superscript to formal parameters in order
	         to only extract superscripts

	(MathArray::iterator extractArgument):
	       - leave out delimiters and a possible superscript
	         for function arguments

	(bool isKnownFunction):
	(bool extractFunctionName):
	       - recognize standard and user defined function names

	(void splitScripts):
	       - correctly split scripts as expected by other functions

	(MathAtom replaceDelims):
	       - ranamed as replaceParenDelims

	(bool testOpenBracket):
	(bool testCloseBracket):
	       - test for "[" and "]", respectively

	(MathAtom replaceBracketDelims):
	       - replace something delimited by "[" and "]" with a
	         proper DelimInset

	(void extractDelims):
	       - create a DelimInset for "[" and "]" delimiters, too

	(void extractFunctions):
	       - improved recognition of function names

	(bool testTermDelimiter):
	       - test for '+' or '-' as term delimiters

	(MathArray::iterator extractTerm):
	       - extract a "term", i.e., something delimited by '+' or '-'

	(bool testDiffItem):
	       - improved recognition of a "differential fraction"

	(void extractDiff):
	       - call splitScripts() on numerator and denominator of a
	         differential fraction before analyzing them

	(void extractLims):
	       - improved recognition of a limit function

	(void extractStructure):
	       - reorganized order of searches

	(MathArray pipeThroughMaxima):
	       - newer versions of maxima use simpsum instead of SIMPSUM

	(string fromMathematicaName):
	       - translates from mathematica names

	(MathArray pipeThroughMathematica):
	       - calls mathematica and collects its output

	(MathArray pipeThroughExtern):
	       - add support for mathematica

	* src/mathed/math_numberinset.C
	* src/mathed/math_numberinset.h
	(void MathNumberInset::mathematica):
	       - add support for mathematica

	* src/mathed/math_matrixinset.C
	* src/mathed/math_matrixinset.h
	(void MathMatrixInset::mathematica):
	       - add support for mathematica

	* src/mathed/math_diffinset.C
	* src/mathed/math_diffinset.h
	(void MathDiffInset::maxima):
	       - add support for maxima

	(void MathDiffInset::mathematica):
	       - mathematica uses "D" and not "Dt" for normal derivatives

	* src/mathed/math_liminset.C
	* src/mathed/math_liminset.h
	(void MathLimInset::maxima):
	       - add support for maxima

	(void MathLimInset::mathematica):
	       - mathematica uses "Limit" and not "Lim" for limits

	* src/mathed/math_exfuncinset.C
	(string asMathematicaName):
	       - added some more function names


git-svn-id: svn://svn.lyx.org/lyx/lyx-devel/trunk@14865 a592a061-630c-0410-9148-cb99ea01b6c8
This commit is contained in:
Bo Peng 2006-09-02 01:57:36 +00:00
parent 41b45a1508
commit 6d23395dc7
12 changed files with 324 additions and 54 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

16
src/mathed/math_diffinset.C
View File

@ -69,9 +69,23 @@ void MathDiffInset::maple(MapleStream & os) const
}
void MathDiffInset::maxima(MaximaStream & os) const
{
os << "diff(";
for (idx_type idx = 0; idx < nargs(); ++idx) {
if (idx != 0)
os << ',';
os << cell(idx);
if (idx != 0)
os << ",1";
}
os << ')';
}
void MathDiffInset::mathematica(MathematicaStream & os) const
{
os << "Dt[";
os << "D[";
for (idx_type idx = 0; idx < nargs(); ++idx) {
if (idx != 0)
os << ',';

2
src/mathed/math_diffinset.h
View File

@ -38,6 +38,8 @@ public:
///
void mathmlize(MathMLStream &) const;
///
void maxima(MaximaStream &) const;
///
void write(WriteStream & os) const;
private:
virtual std::auto_ptr<InsetBase> doClone() const;

12
src/mathed/math_exfuncinset.C
View File

@ -80,12 +80,15 @@ string asMathematicaName(string const & name)
if (name == "sin") return "Sin";
if (name == "sinh") return "Sinh";
if (name == "arcsin") return "ArcSin";
if (name == "asin") return "ArcSin";
if (name == "cos") return "Cos";
if (name == "cosh") return "Cosh";
if (name == "arcos") return "ArcCos";
if (name == "arccos") return "ArcCos";
if (name == "acos") return "ArcCos";
if (name == "tan") return "Tan";
if (name == "tanh") return "Tanh";
if (name == "arctan") return "ArcTan";
if (name == "atan") return "ArcTan";
if (name == "cot") return "Cot";
if (name == "coth") return "Coth";
if (name == "csc") return "Csc";
@ -93,6 +96,13 @@ string asMathematicaName(string const & name)
if (name == "exp") return "Exp";
if (name == "log") return "Log";
if (name == "ln" ) 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;
}

303
src/mathed/math_extern.C
View File

@ -22,6 +22,7 @@
#include "math_diffinset.h"
#include "math_exfuncinset.h"
#include "math_exintinset.h"
#include "math_fontinset.h"
#include "math_fracinset.h"
#include "math_liminset.h"
#include "math_matrixinset.h"
@ -34,6 +35,7 @@
#include "debug.h"
#include "support/filetools.h"
#include "support/lstrings.h"
#include "frontends/controllers/ControlMath.h"
#include <algorithm>
#include <sstream>
@ -44,6 +46,8 @@ using lyx::support::libFileSearch;
using lyx::support::runCommand;
using lyx::support::subst;
using lyx::frontend::function_names;
using std::string;
using std::endl;
using std::find_if;
@ -74,7 +78,7 @@ typedef MathAtom ReplaceArgumentFunc(const MathArray & ar);
// try to extract a super/subscript
// modify iterator position to point behind the thing
bool extractScript(MathArray & ar,
MathArray::iterator & pos, MathArray::iterator last)
MathArray::iterator & pos, MathArray::iterator last, bool superscript)
{
// nothing to get here
if (pos == last)
@ -84,6 +88,10 @@ bool extractScript(MathArray & ar,
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;
@ -94,16 +102,31 @@ bool extractScript(MathArray & ar,
// try to extract an "argument" to some function.
// returns position behind the argument
MathArray::iterator extractArgument(MathArray & ar,
MathArray::iterator pos, MathArray::iterator last, string const & = "")
MathArray::iterator pos, MathArray::iterator last, bool function = false)
{
// nothing to get here
if (pos == last)
return pos;
// something deliminited _is_ an argument
// something delimited _is_ an argument
if ((*pos)->asDelimInset()) {
ar.push_back(*pos);
return pos + 1;
// leave out delimiters if this is a function argument
if (function) {
MathArray const & arg = (*pos)->asDelimInset()->cell(0);
MathArray::const_iterator cur = arg.begin();
MathArray::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
@ -114,9 +137,9 @@ MathArray::iterator extractArgument(MathArray & ar,
if (pos == last)
return pos;
// if the next item is a subscript, it most certainly belongs to the
// thing we have
extractScript(ar, pos, last);
// 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;
@ -197,6 +220,39 @@ bool extractString(MathAtom const & at, string & str)
}
// is this a known function?
bool isKnownFunction(string 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, string & 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...
MathArray const & ar = at->asFontInset()->cell(0);
str = charSequence(ar.begin(), ar.end());
return ar.size() == str.size();
}
return false;
}
// convert this inset somehow to a number
bool extractNumber(MathArray const & ar, int & i)
{
@ -279,24 +335,42 @@ void splitScripts(MathArray & ar)
{
//lyxerr << "\nScripts from: " << ar << endl;
for (size_t i = 0; i < ar.size(); ++i) {
// is this script inset?
if (!ar[i]->asScriptInset())
MathScriptInset const * script = ar[i]->asScriptInset();
// is this a script inset and do we also have a superscript?
if (!script || !script->hasUp())
continue;
// no problem if we don't have both...
if (!ar[i]->asScriptInset()->hasUp())
continue;
if (!ar[i]->asScriptInset()->hasDown())
// 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
MathSymbolInset const * sym =
script->nuc().front()->asSymbolInset();
if (sym && (sym->name() == "sum" || sym->name() == "int"))
continue;
}
// create extra script inset and move superscript over
MathScriptInset * p = ar[i].nucleus()->asScriptInset();
auto_ptr<MathScriptInset> q(new MathScriptInset(true));
swap(q->up(), p->up());
p->removeScript(true);
// if we don't have a subscript, get rid of the ScriptInset
if (!script->hasDown()) {
MathArray arg(p->nuc());
MathArray::const_iterator it = arg.begin();
MathArray::const_iterator et = arg.end();
ar.erase(i);
while (it != et)
ar.insert(i++, *it++);
} else
++i;
// insert new inset behind
++i;
ar.insert(i, MathAtom(q.release()));
}
//lyxerr << "\nScripts to: " << ar << endl;
@ -390,7 +464,7 @@ void extractNumbers(MathArray & ar)
//
// search deliminiters
// search delimiters
//
bool testOpenParen(MathAtom const & at)
@ -405,17 +479,36 @@ bool testCloseParen(MathAtom const & at)
}
MathAtom replaceDelims(const MathArray & ar)
MathAtom replaceParenDelims(const MathArray & ar)
{
return MathAtom(new MathDelimInset("(", ")", ar));
}
// replace '('...')' sequences by a real MathDelimInset
bool testOpenBracket(MathAtom const & at)
{
return testString(at, "[");
}
bool testCloseBracket(MathAtom const & at)
{
return testString(at, "]");
}
MathAtom replaceBracketDelims(const MathArray & ar)
{
return MathAtom(new MathDelimInset("[", "]", ar));
}
// replace '('...')' and '['...']' sequences by a real MathDelimInset
void extractDelims(MathArray & ar)
{
//lyxerr << "\nDelims from: " << ar << endl;
replaceNested(ar, testOpenParen, testCloseParen, replaceDelims);
replaceNested(ar, testOpenParen, testCloseParen, replaceParenDelims);
replaceNested(ar, testOpenBracket, testCloseBracket, replaceBracketDelims);
//lyxerr << "\nDelims to: " << ar << endl;
}
@ -441,10 +534,8 @@ void extractFunctions(MathArray & ar)
string name;
// is it a function?
if ((*it)->asUnknownInset()) {
// it certainly is if it is well known...
name = (*it)->name();
} else {
// 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))
@ -463,13 +554,13 @@ void extractFunctions(MathArray & ar)
// do we have an exponent like in
// 'sin' '^2' 'x' -> 'sin(x)' '^2'
MathArray exp;
extractScript(exp, jt, ar.end());
extractScript(exp, jt, ar.end(), true);
// create a proper inset as replacement
auto_ptr<MathExFuncInset> p(new MathExFuncInset(name));
// jt points to the "argument". Get hold of this.
MathArray::iterator st = extractArgument(p->cell(0), jt, ar.end());
MathArray::iterator st = extractArgument(p->cell(0), jt, ar.end(), true);
// replace the function name by a real function inset
*it = MathAtom(p.release());
@ -562,6 +653,25 @@ void extractIntegrals(MathArray & ar)
}
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
MathArray::iterator extractTerm(MathArray & ar,
MathArray::iterator pos, MathArray::iterator last)
{
while (pos != last && !testTermDelimiter(*pos)) {
ar.push_back(*pos);
++pos;
}
return pos;
}
//
// search sums
//
@ -631,7 +741,7 @@ void extractSums(MathArray & ar)
p->cell(3) = sub->up();
// use something behind the script as core
MathArray::iterator tt = extractArgument(p->cell(0), it + 1, ar.end());
MathArray::iterator tt = extractTerm(p->cell(0), it + 1, ar.end());
// cleanup
ar.erase(it + 1, tt);
@ -648,7 +758,16 @@ void extractSums(MathArray & ar)
// tests for 'd' or '\partial'
bool testDiffItem(MathAtom const & at)
{
return testString(at, "d");
if (testString(at, "d") || testSymbol(at, "partial"))
return true;
// we may have d^n .../d and splitScripts() has not yet seen it
MathScriptInset 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;
}
@ -689,7 +808,8 @@ void extractDiff(MathArray & ar)
// collect function, let jt point behind last used item
MathArray::iterator jt = it + 1;
//int n = 1;
MathArray const & numer = f->cell(0);
MathArray 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
@ -697,24 +817,25 @@ void extractDiff(MathArray & ar)
if (numer.size() > 2)
diff->cell(0) = MathArray(numer.begin() + 2, numer.end());
else
jt = extractArgument(diff->cell(0), jt, ar.end());
jt = extractTerm(diff->cell(0), jt, ar.end());
} else {
// simply d f(x) / d... or d/d...
if (numer.size() > 1)
diff->cell(0) = MathArray(numer.begin() + 1, numer.end());
else
jt = extractArgument(diff->cell(0), jt, ar.end());
jt = extractTerm(diff->cell(0), jt, ar.end());
}
// collect denominator parts
MathArray const & denom = f->cell(1);
for (MathArray::const_iterator dt = denom.begin(); dt != denom.end();) {
MathArray denom(f->cell(1));
splitScripts(denom);
for (MathArray::iterator dt = denom.begin(); dt != denom.end();) {
// find the next 'd'
MathArray::const_iterator et
MathArray::iterator et
= find_if(dt + 1, denom.end(), &testDiffItem);
// point before this
MathArray::const_iterator st = et - 1;
MathArray::iterator st = et - 1;
MathScriptInset const * script = (*st)->asScriptInset();
if (script && script->hasUp()) {
// things like d.../dx^n
@ -755,24 +876,20 @@ bool testRightArrow(MathAtom const & at)
// assume 'extractDelims' ran before
void extractLims(MathArray & ar)
{
// we need at least three items...
if (ar.size() < 3)
return;
//lyxerr << "\nLimits from: " << ar << endl;
for (size_t i = 0; i + 2 < ar.size(); ++i) {
for (size_t i = 0; i < ar.size(); ++i) {
MathArray::iterator it = ar.begin() + i;
// must be a script inset with a subscript (without superscript)
MathScriptInset const * sub = (*it)->asScriptInset();
if (!sub || !sub->hasDown() || sub->hasUp() || sub->nuc().size() != 1)
continue;
// is this a limit function?
if (!testSymbol(*it, "lim"))
if (!testSymbol(sub->nuc().front(), "lim"))
continue;
// the next one must be a subscript (without superscript)
MathScriptInset const * sub = (*(it + 1))->asScriptInset();
if (!sub || !sub->hasDown() || sub->hasUp())
continue;
// and it must contain a -> symbol
// subscript must contain a -> symbol
MathArray const & s = sub->down();
MathArray::const_iterator st = find_if(s.begin(), s.end(), &testRightArrow);
if (st == s.end())
@ -784,7 +901,7 @@ void extractLims(MathArray & ar)
// use something behind the script as core
MathArray f;
MathArray::iterator tt = extractArgument(f, it + 2, ar.end());
MathArray::iterator tt = extractTerm(f, it + 1, ar.end());
// cleanup
ar.erase(it + 1, tt);
@ -803,12 +920,12 @@ void extractLims(MathArray & ar)
void extractStructure(MathArray & ar)
{
//lyxerr << "\nStructure from: " << ar << endl;
splitScripts(ar);
extractDelims(ar);
extractIntegrals(ar);
extractSums(ar);
splitScripts(ar);
extractNumbers(ar);
extractMatrices(ar);
extractDelims(ar);
extractFunctions(ar);
extractDets(ar);
extractDiff(ar);
@ -942,7 +1059,7 @@ namespace {
MaximaStream ms(os);
ms << ar;
string expr = os.str();
string const header = "SIMPSUM:true;";
string const header = "simpsum:true;";
string out;
for (int i = 0; i < 100; ++i) { // at most 100 attempts
@ -1175,6 +1292,89 @@ namespace {
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 + "{";
string::size_type const len = macro.length();
string::size_type i = out.find(macro);
while (i != string::npos) {
string::size_type 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 << "out: " << out << endl;
i = out.find(macro, i);
}
}
MathArray pipeThroughMathematica(string const &, MathArray const & ar)
{
ostringstream os;
MathematicaStream ms(os);
ms << ar;
string const expr = os.str();
string out;
lyxerr << "expr: '" << expr << "'" << endl;
string const full = "TeXForm[" + expr + "]";
out = captureOutput("math", full);
lyxerr << "out: '" << out << "'" << endl;
string::size_type pos1 = out.find("Out[1]//TeXForm= ");
string::size_type pos2 = out.find("In[2]:=");
if (pos1 == string::npos || pos2 == string::npos)
return MathArray();
// 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);
MathArray res;
mathed_parse_cell(res, out);
return res;
}
}
@ -1190,6 +1390,9 @@ MathArray pipeThroughExtern(string const & lang, string const & extra,
if (lang == "maple")
return pipeThroughMaple(extra, ar);
if (lang == "mathematica")
return pipeThroughMathematica(extra, ar);
// create normalized expression
ostringstream os;
NormalStream ns(os);

8
src/mathed/math_liminset.C
View File

@ -59,9 +59,15 @@ void MathLimInset::maple(MapleStream & os) const
}
void MathLimInset::maxima(MaximaStream & os) const
{
os << "limit(" << cell(0) << ',' << cell(1) << ',' << cell(2) << ')';
}
void MathLimInset::mathematica(MathematicaStream & os) const
{
os << "Lim[" << cell(0) << ',' << cell(1) << ',' << cell(2) << ']';
os << "Limit[" << cell(0) << ',' << cell(1) << "-> " << cell(2) << ']';
}

2
src/mathed/math_liminset.h
View File

@ -32,6 +32,8 @@ public:
///
void maple(MapleStream &) const;
///
void maxima(MaximaStream &) const;
///
void mathematica(MathematicaStream &) const;
///
void mathmlize(MathMLStream &) const;

18
src/mathed/math_matrixinset.C
View File

@ -70,6 +70,24 @@ void MathMatrixInset::maxima(MaximaStream & os) const
}
void MathMatrixInset::mathematica(MathematicaStream & os) const
{
os << '{';
for (row_type row = 0; row < nrows(); ++row) {
if (row)
os << ',';
os << '{';
for (col_type col = 0; col < ncols(); ++col) {
if (col)
os << ',';
os << cell(index(row, col));
}
os << '}';
}
os << '}';
}
void MathMatrixInset::mathmlize(MathMLStream & os) const
{
MathGridInset::mathmlize(os);

2
src/mathed/math_matrixinset.h
View File

@ -35,6 +35,8 @@ public:
///
void maxima(MaximaStream &) const;
///
void mathematica(MathematicaStream &) const;
///
void mathmlize(MathMLStream &) const;
///
void octave(OctaveStream &) const;

6
src/mathed/math_numberinset.C
View File

@ -57,6 +57,12 @@ void MathNumberInset::maple(MapleStream & os) const
}
void MathNumberInset::mathematica(MathematicaStream & os) const
{
os << str_;
}
void MathNumberInset::octave(OctaveStream & os) const
{
os << str_;

2
src/mathed/math_numberinset.h
View File

@ -38,6 +38,8 @@ public:
///
void maple(MapleStream &) const;
///
void mathematica(MathematicaStream &) const;
///
void mathmlize(MathMLStream &) const;
///
void write(WriteStream & os) const;

2
src/mathed/math_stringinset.h
View File

@ -31,6 +31,8 @@ public:
std::string str() const { return str_; }
///
MathStringInset * asStringInset() { return this; }
///
MathStringInset const * asStringInset() const { return this; }
///
void normalize(NormalStream &) const;

5
src/mathed/math_symbolinset.C
View File

@ -165,7 +165,9 @@ void MathSymbolInset::maxima(MaximaStream & os) const
if (name() == "cdot")
os << '*';
else if (name() == "infty")
os << "INF";
os << "inf";
else if (name() == "pi")
os << "%pi";
else
os << name();
}
@ -175,6 +177,7 @@ void MathSymbolInset::mathematica(MathematicaStream & os) const
{
if ( name() == "pi") { os << "Pi"; return;}
if ( name() == "infty") { os << "Infinity"; return;}
if ( name() == "cdot") { os << '*'; return;}
os << name();
}