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-rw-r--r--kicker-applets/math/parser.cpp813
1 files changed, 813 insertions, 0 deletions
diff --git a/kicker-applets/math/parser.cpp b/kicker-applets/math/parser.cpp
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+++ b/kicker-applets/math/parser.cpp
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+/*
+* Code based on parser from KmPlot - a math. function plotter for the KDE-Desktop
+*
+* Original code
+* Copyright (C) 1998, 1999 Klaus-Dieter Möller
+* 2000, 2002 kd.moeller@t-online.de
+*
+* Modifications: 2004 Andrew Coles (andrew_coles@yahoo.co.uk)
+*
+* This file is part of the KDE Project.
+* KmPlot is part of the KDE-EDU Project.
+*
+* 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 2 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, write to the Free Software
+* Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
+*
+*/
+
+// standard c(++) includes
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+
+//KDE includes
+#include <kdebug.h>
+#include <klocale.h>
+#include <kmessagebox.h>
+
+// local includes
+#include "parser.h"
+//#include "settings.h"
+//#include "xparser.h"
+
+double Parser::m_anglemode = 0;
+
+/// List of predefined functions.
+Parser::Mfkt Parser::mfkttab[ FANZ ]=
+{
+ {"tanh", ltanh}, // Tangens hyperbolicus
+ {"tan", ltan}, // Tangens
+ {"sqrt", sqrt}, // Square root
+ {"sqr", sqr}, // Square
+ {"sinh", lsinh}, // Sinus hyperbolicus
+ {"sin", lsin}, // Sinus
+ {"sign", sign}, // Signum
+ {"sech", sech}, // Secans hyperbolicus
+ {"sec", sec}, // Secans
+ {"log", log10}, // Logarithm base 10
+ {"ln", log}, // Logarithm base e
+ {"exp", exp}, // Exponential function base e
+ {"coth", coth}, // Co-Tangens hyperbolicus
+ {"cot", cot}, // Co-Tangens = 1/tan
+ {"cosh", lcosh}, // Cosinus hyperbolicus
+ {"cosech", cosech}, // Co-Secans hyperbolicus
+ {"cosec", cosec}, // Co-Secans
+ {"cos", lcos}, // Cosinus
+ {"artanh", artanh}, // Area-tangens hyperbolicus = inverse of tanh
+ {"arsinh", arsinh}, // Area-sinus hyperbolicus = inverse of sinh
+ {"arsech", arsech}, // Area-secans hyperbolicus = invers of sech
+ {"arctan", arctan}, // Arcus tangens = inverse of tan
+ {"arcsin", arcsin}, // Arcus sinus = inverse of sin
+ {"arcsec", arcsec}, // Arcus secans = inverse of sec
+ {"arcoth", arcoth}, // Area-co-tangens hyperbolicus = inverse of coth
+ {"arcosh", arcosh}, // Area-cosinus hyperbolicus = inverse of cosh
+ {"arcosech", arcosech}, // Area-co-secans hyperbolicus = inverse of cosech
+ {"arccot", arccot}, // Arcus co-tangens = inverse of cotan
+ {"arccosec", arccosec}, // Arcus co-secans = inverse of cosec
+ {"arccos", arccos}, // Arcus cosinus = inverse of cos
+ {"abs", fabs} // Absolute value
+};
+
+
+Parser::Parser()
+{ ps_init( UFANZ, MEMSIZE, STACKSIZE );
+}
+
+
+Parser::Parser( int anz, int m_size, int s_size )
+{ ps_init( anz, m_size, s_size );
+}
+
+
+void Parser::ps_init(int anz, int m_size, int s_size)
+{ int ix;
+
+ ufanz=anz;
+ memsize=m_size;
+ stacksize=s_size;
+ ufkt=new Ufkt[ufanz];
+ evalflg=ixa=0;
+ for(ix=0; ix<ufanz; ++ix)
+ { ufkt[ix].memsize=memsize;
+ ufkt[ix].stacksize=stacksize;
+ ufkt[ix].fname=""; //.resize(1);
+ ufkt[ix].fvar=""; //.resize(1);
+ ufkt[ix].fpar=""; //.resize(1);
+ ufkt[ix].fstr=""; //.resize(1);
+ ufkt[ix].mem=new unsigned char [memsize];
+ }
+}
+
+
+Parser::~Parser()
+{ delete [] ufkt;
+}
+
+
+Parser::Ufkt::Ufkt()
+{
+}
+
+
+Parser::Ufkt::~Ufkt()
+{ delete [] mem;
+}
+
+
+void Parser::setAngleMode(int angle)
+{ if(angle==0)
+ m_anglemode = 1;
+ else
+ m_anglemode = M_PI/180;
+}
+
+double Parser::anglemode()
+{ return m_anglemode;
+}
+
+double Parser::eval(QString str)
+{ double erg;
+
+ stack=new double [stacksize];
+ stkptr=stack;
+ evalflg=1;
+ lptr=str.latin1();
+ err=0;
+ heir1();
+ if(*lptr!=0 && err==0) err=1;
+ evalflg=0;
+ erg=*stkptr;
+ delete [] stack;
+ if(err==0)
+ { errpos=0;
+ return erg;
+ }
+ else
+ { errpos=lptr-(str.latin1())+1;
+ return 0.;
+ }
+}
+
+
+double Parser::Ufkt::fkt(double x)
+{ unsigned char token;
+ double *pd, (**pf)(double);
+ double erg, *stack, *stkptr;
+ Ufkt **puf;
+
+ mptr=mem;
+ stack=stkptr= new double [stacksize];
+ while(1)
+ { switch(token=*mptr++)
+ { case KONST: pd=(double*)mptr;
+ *stkptr=*pd++;
+ mptr=(unsigned char*)pd;
+ break;
+ case XWERT: *stkptr=x;
+ break;
+ case YWERT: *stkptr=oldy;
+ break;
+ case KWERT: *stkptr=k;
+ break;
+
+ case PUSH: ++stkptr;
+ break;
+
+ case PLUS: stkptr[-1]+=*stkptr;
+ --stkptr;
+ break;
+
+ case MINUS: stkptr[-1]-=*stkptr;
+ --stkptr;
+ break;
+
+ case MULT: stkptr[-1]*=*stkptr;
+ --stkptr;
+ break;
+
+ case DIV: if(*stkptr==0.)*(--stkptr)=HUGE_VAL;
+ else
+ { stkptr[-1]/=*stkptr;
+ --stkptr;
+ }
+ break;
+
+ case POW: stkptr[-1]=pow(*(stkptr-1), *stkptr);
+ --stkptr;
+ break;
+
+ case NEG: *stkptr=-*stkptr;
+ break;
+
+ case FKT: pf=(double(**)(double))mptr;
+ *stkptr=(*pf++)(*stkptr);
+ mptr=(unsigned char*)pf;
+ break;
+
+ case UFKT: puf=(Ufkt**)mptr;
+ *stkptr=(*puf++)->fkt(*stkptr);
+ mptr=(unsigned char*)puf;
+ break;
+
+ case ENDE: erg=*stkptr;
+ delete [] stack;
+ return erg;
+ }
+ }
+}
+
+int Parser::getNextIndex()
+{
+ int ix = 0;
+ while( ( ix < ufanz ) && !ufkt[ ix ].fname.isEmpty() ) ix++;
+ if( ix == ufanz ) ix = -1;
+ return ix;
+}
+
+int Parser::addfkt(QString str)
+{
+ int ix;
+
+ stkptr=stack=0;
+ err=0;
+ errpos=1;
+ str.remove(" " );
+ const int p1=str.find('(');
+ int p2=str.find(',');
+ const int p3=str.find(")=");
+
+ //insert '*' when it is needed
+ for(int i=p1+3; i < (int) str.length();i++)
+ {
+ if( (str.at(i).isNumber() || str.at(i).category()==QChar::Letter_Uppercase )&& ( str.at(i-1).isLetter() || str.at(i-1) == ')' ) )
+ {
+ str.insert(i,'*');
+ }
+ else if( (str.at(i).isNumber() || str.at(i) == ')' || str.at(i).category()==QChar::Letter_Uppercase) && ( str.at(i+1).isLetter() || str.at(i+1) == '(' ) )
+ {
+ str.insert(i+1,'*');
+ i++;
+ }
+ }
+
+ if(p1==-1 || p3==-1 || p1>p3)
+ { err=4;
+ return -1;
+ }
+ if ( p3+2 == (int) str.length()) //empty function
+ { err=11;
+ return -1;
+ }
+ if(p2==-1 || p2>p3) p2=p3;
+ if(getfix(str.left(p1))!=-1)
+ { err=8;
+ return -1;
+ }
+ else err=0;
+
+ if (str.mid(p1+1, p2-p1-1) == "e")
+ { err=4;
+ return -1;
+ }
+
+ for(ix=0; ix<ufanz; ++ix)
+ { if(ufkt[ix].fname.isEmpty())
+ { ufkt[ix].fname=str.left(p1);
+ ufkt[ix].fvar=str.mid(p1+1, p2-p1-1);
+ ufkt[ix].fstr=str;
+ if(p2<p3) ufkt[ix].fpar=str.mid(p2+1, p3-p2-1);
+ else ufkt[ix].fpar=""; //.resize(1);
+ break;
+ }
+ }
+
+ if(ix==ufanz)
+ { err=5;
+ return -1;
+ } // zu viele Funktionen
+
+ ixa=ix;
+ mem=mptr=ufkt[ix].mem;
+ lptr=(str.latin1())+p3+2;
+ heir1();
+ if(*lptr!=0 && err==0) err=1; // Syntaxfehler
+ addtoken(ENDE);
+
+ if(err!=0)
+ { ufkt[ix].fname=""; //.resize(1);
+ errpos=lptr-(str.latin1())+1;
+ return -1;
+ }
+
+
+ errpos=0;
+ return ix;
+}
+
+
+int Parser::delfkt(QString name)
+{ int ix;
+
+ ix=getfix(name);
+ if(ix!=-1) ufkt[ix].fname=""; //.resize(1); // Name l�chen
+ return ix;
+}
+
+
+int Parser::delfkt(int ix)
+{ if(ix<0 || ix>=ufanz) return -1; // ungltiger Index
+
+ ufkt[ix].fname=""; //.resize(1); // Name l�chen
+ return ix;
+}
+
+
+double Parser::fkt(QString name, double x)
+{ int ix;
+
+ ix=getfix(name);
+ if(ix==-1) return 0.;
+
+ return ufkt[ix].fkt(x);
+}
+
+
+void Parser::heir1()
+{ char c;
+
+ heir2();
+ if(err!=0) return ;
+
+ while(1)
+ { switch(c=*lptr)
+ { default: return ;
+
+ case ' ': ++lptr;
+ continue;
+
+ case '+':
+ case '-': ++lptr;
+ addtoken(PUSH);
+ heir2();
+ if(err!=0) return ;
+ }
+
+ switch(c)
+ { case '+': addtoken(PLUS);
+ break;
+
+ case '-': addtoken(MINUS);
+ }
+ }
+}
+
+
+void Parser::heir2()
+{ if(match("-"))
+ { heir2();
+ if(err!=0) return;
+
+ addtoken(NEG);
+ }
+
+ else heir3();
+}
+
+
+void Parser::heir3()
+{ char c;
+
+ heir4();
+ if(err!=0) return;
+
+ while(1)
+ { switch(c=*lptr)
+ { default: return ;
+
+ case ' ': ++lptr;
+ continue;
+
+ case '*':
+ case '/': ++lptr;
+ addtoken(PUSH);
+ heir4();
+ if(err!=0) return ;
+ }
+
+ switch(c)
+ { case '*': addtoken(MULT);
+ break;
+
+ case '/': addtoken(DIV);
+ }
+ }
+}
+
+
+void Parser::heir4()
+{ primary();
+ if(err!=0) return;
+
+ while(match("^"))
+ { addtoken(PUSH);
+ primary();
+ if(err!=0) return;
+ addtoken(POW);
+ }
+}
+
+
+void Parser::primary()
+{ char *p;
+ int i;
+ double w;
+
+ if(match("("))
+ { heir1();
+ if(match(")")==0) err=2; // fehlende Klammer
+ return;
+ }
+
+ for(i=0; i<FANZ; ++i)
+ { if(match(mfkttab[i].mfstr))
+ { primary();
+ addtoken(FKT);
+ addfptr(mfkttab[i].mfadr);
+ return;
+ }
+ }
+
+ for(i=0; i<ufanz; ++i)
+ { if(ufkt[i].fname[0]==0) continue;
+ if(match(ufkt[i].fname.latin1()))
+ { if(i==ixa) {err=9; return;}
+
+ primary();
+ addtoken(UFKT);
+ addfptr(&ufkt[i]);
+ return;
+ }
+ }
+ // A constant
+ if(lptr[0] >='A' && lptr[0]<='Z' )
+ { char tmp[2];
+ tmp[1] = '\0';
+ for( int i = 0; i< (int)constant.size();i++)
+ {
+ tmp[0] = constant[i].constant;
+ if ( match( tmp) )
+ {
+ addtoken(KONST);
+ addwert(constant[i].value);
+ return;
+ }
+
+ }
+ err = 10;
+ return;
+ }
+
+
+ if(match("pi"))
+ { addtoken(KONST);
+ addwert(M_PI);
+ return;
+ }
+
+ if(match("e"))
+ { addtoken(KONST);
+ addwert(M_E);
+ return;
+ }
+
+ if(match(ufkt[ixa].fvar.latin1()))
+ { addtoken(XWERT);
+ return;
+ }
+
+ if(match("y"))
+ { addtoken(YWERT);
+ return;
+ }
+
+ if(match(ufkt[ixa].fpar.latin1()))
+ { addtoken(KWERT);
+ return;
+ }
+
+ w=strtod(lptr, &p);
+ if(lptr!=p)
+ { lptr=p;
+ addtoken(KONST);
+ addwert(w);
+ }
+ else err=1; // Syntax-Fehler
+}
+
+
+int Parser::match(const char *lit)
+{ const char *p;
+
+ if(*lit==0) return 0;
+
+ while(*lptr==' ') ++lptr;
+ p=lptr;
+ while(*lit)
+ { if(*lit++!=*p++) return 0;
+ }
+ lptr=p;
+ return 1;
+}
+
+
+void Parser::addtoken(unsigned char token)
+{ if(stkptr>=stack+stacksize-1)
+ { err=7;
+ return;
+ }
+
+ if(evalflg==0)
+ { if(mptr>=&mem[memsize-10]) err=6;
+ else *mptr++=token;
+
+ switch(token)
+ { case PUSH: ++stkptr;
+ break;
+
+ case PLUS:
+ case MINUS:
+ case MULT:
+ case DIV:
+ case POW: --stkptr;
+ }
+ }
+ else switch(token)
+ { case PUSH: ++stkptr;
+ break;
+
+ case PLUS: stkptr[-1]+=*stkptr;
+ --stkptr;
+ break;
+
+ case MINUS: stkptr[-1]-=*stkptr;
+ --stkptr;
+ break;
+
+ case MULT: stkptr[-1]*=*stkptr;
+ --stkptr;
+ break;
+
+ case DIV: if(*stkptr==0.) *(--stkptr)=HUGE_VAL;
+ else
+ { stkptr[-1]/=*stkptr;
+ --stkptr;
+ }
+ break;
+
+ case POW: stkptr[-1]=pow(*(stkptr-1), *stkptr);
+ --stkptr;
+ break;
+ case NEG: *stkptr=-*stkptr;
+ }
+}
+
+
+void Parser::addwert(double x)
+{ double *pd=(double*)mptr;
+
+ if(evalflg==0)
+ { if(mptr>=&mem[memsize-10]) err=6;
+ else
+ { *pd++=x;
+ mptr=(unsigned char*)pd;
+ }
+ }
+ else *stkptr=x;
+}
+
+
+void Parser::addfptr(double(*fadr)(double))
+{ double (**pf)(double)=(double(**)(double))mptr;
+
+ if(evalflg==0)
+ { if(mptr>=&mem[memsize-10]) err=6;
+ else
+ { *pf++=fadr;
+ mptr=(unsigned char*)pf;
+ }
+ }
+ else *stkptr=(*fadr)(*stkptr);
+}
+
+
+void Parser::addfptr(Ufkt *adr)
+{ Ufkt **p=(Ufkt**)mptr;
+
+ if(evalflg==0)
+ { if(mptr>=&mem[memsize-10]) err=6;
+ else
+ { *p++=adr;
+ mptr=(unsigned char*)p;
+ }
+ }
+ else *stkptr=adr->fkt(*stkptr);
+}
+
+
+int Parser::chkfix(int ix)
+{ if(ix<0 || ix>=ufanz) return -1; // ungltiger Index
+ if(ufkt[ix].fname.isEmpty()) return -1; // keine Funktion
+ return ix;
+}
+
+
+int Parser::getfkt(int ix, QString& name, QString& str)
+{ if(ix<0 || ix>=ufanz) return -1; // ungltiger Index
+ if(ufkt[ix].fname.isEmpty()) return -1; // keine Funktion
+ name=ufkt[ix].fname.copy();
+ str=ufkt[ix].fstr.copy();
+ return ix;
+}
+
+
+int Parser::getfix(QString name)
+{ int ix;
+
+ err=0;
+ for(ix=0; ix<ufanz; ++ix)
+ { if(name==ufkt[ix].fname) return ix;
+ }
+ err=3; // Name nicht bekannt
+ return -1;
+}
+
+
+int Parser::errmsg()
+{ switch(err)
+ { case 1: KMessageBox::error(0, i18n("Parser error at position %1:\n"
+ "Syntax error").arg(QString::number(errpos)), i18n("Math Expression Evaluator"));
+ break;
+
+ case 2: KMessageBox::error(0, i18n("Parser error at position %1:\n"
+ "Missing parenthesis").arg(QString::number(errpos)), i18n("Math Expression Evaluator"));
+ break;
+
+ case 3: KMessageBox::error(0, i18n("Parser error at position %1:\n"
+ "Function name unknown").arg(QString::number(errpos)), i18n("Math Expression Evaluator"));
+ break;
+
+ case 4: KMessageBox::error(0, i18n("Parser error at position %1:\n"
+ "Void function variable").arg(QString::number(errpos)), i18n("Math Expression Evaluator"));
+ break;
+
+ case 5: KMessageBox::error(0, i18n("Parser error at position %1:\n"
+ "Too many functions").arg(QString::number(errpos)), i18n("Math Expression Evaluator"));
+ break;
+
+ case 6: KMessageBox::error(0, i18n("Parser error at position %1:\n"
+ "Token-memory overflow").arg(QString::number(errpos)), i18n("Math Expression Evaluator"));
+ break;
+
+ case 7: KMessageBox::error(0, i18n("Parser error at position %1:\n"
+ "Stack overflow").arg(QString::number(errpos)), i18n("Math Expression Evaluator"));
+ break;
+
+ case 8: KMessageBox::error(0, i18n("Parser error at position %1:\n"
+ "Name of function not free").arg(QString::number(errpos)), i18n("Math Expression Evaluator"));
+ break;
+
+ case 9: KMessageBox::error(0, i18n("Parser error at position %1:\n"
+ "recursive function not allowed").arg(QString::number(errpos)), i18n("Math Expression Evaluator"));
+ break;
+ case 10: KMessageBox::error(0, i18n("Could not find a defined constant at position %1" ).arg(QString::number(errpos)),
+ i18n("Math Expression Evaluator"));
+ break;
+ case 11: KMessageBox::error(0, i18n("Empty function"), i18n("Math Expression Evaluator"));
+ break;
+ }
+
+ return err;
+}
+
+
+double sign(double x)
+{ if(x<0.) return -1.;
+ else if(x>0.) return 1.;
+ return 0.;
+}
+
+double sqr(double x)
+{ return x*x;
+}
+
+double arsinh(double x)
+{ return log(x+sqrt(x*x+1));
+}
+
+
+double arcosh(double x)
+{ return log(x+sqrt(x*x-1));
+}
+
+
+double artanh(double x)
+{ return log((1+x)/(1-x))/2;
+}
+
+// sec, cosec, cot and their inverses
+
+double sec(double x)
+{ return (1 / cos(x*Parser::anglemode()));
+}
+
+double cosec(double x)
+{ return (1 / sin(x*Parser::anglemode()));
+}
+
+double cot(double x)
+{ return (1 / tan(x*Parser::anglemode()));
+}
+
+double arcsec(double x)
+{ if ( !Parser::anglemode() ) return ( 1/acos(x)* 180/M_PI );
+ else return acos(1/x);
+}
+
+double arccosec(double x)
+{ return asin(1/x)* 1/Parser::anglemode();
+}
+
+double arccot(double x)
+{ return atan(1/x)* 1/Parser::anglemode();
+}
+
+// sech, cosech, coth and their inverses
+
+
+double sech(double x)
+{ return (1 / cosh(x*Parser::anglemode()));
+}
+
+double cosech(double x)
+{ return (1 / sinh(x*Parser::anglemode()));
+}
+
+double coth(double x)
+{ return (1 / tanh(x*Parser::anglemode()));
+}
+
+double arsech(double x)
+{ return arcosh(1/x)* 1/Parser::anglemode();
+}
+
+double arcosech(double x)
+{ return arsinh(1/x)* 1/Parser::anglemode();
+}
+
+double arcoth(double x)
+{ return artanh(1/x)* 1/Parser::anglemode();
+}
+
+//basic trigonometry functions
+
+double lcos(double x)
+{ return cos(x*Parser::anglemode());
+}
+double lsin(double x)
+{ return sin(x*Parser::anglemode());
+}
+double ltan(double x)
+{ return tan(x*Parser::anglemode());
+}
+
+double lcosh(double x)
+{ return cosh(x*Parser::anglemode());
+}
+double lsinh(double x)
+{ return sinh(x*Parser::anglemode());
+}
+double ltanh(double x)
+{ return tanh(x*Parser::anglemode());
+}
+
+double arccos(double x)
+{ return acos(x) * 1/Parser::anglemode();
+}
+double arcsin(double x)
+{ return asin(x)* 1/Parser::anglemode();
+}
+
+double arctan(double x)
+{ return atan(x)* 1/Parser::anglemode();
+}
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