* Implementation of GiNaC's overloaded operators. */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
*
* 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
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
-#include <iostream>
-#include <stdexcept>
-
#include "operators.h"
-#include "basic.h"
-#include "ex.h"
#include "numeric.h"
+#include "add.h"
+#include "mul.h"
#include "power.h"
+#include "ncmul.h"
#include "relational.h"
-#include "input_lexer.h"
+#include "print.h"
#include "debugmsg.h"
#include "utils.h"
-#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
-
-// binary arithmetic operators ex with ex
-
-ex operator+(const ex & lh, const ex & rh)
-{
- debugmsg("operator+(ex,ex)",LOGLEVEL_OPERATOR);
- return lh.exadd(rh);
-}
-ex operator-(const ex & lh, const ex & rh)
+/** Used internally by operator+() to add two ex objects together. */
+static inline const ex exadd(const ex & lh, const ex & rh)
{
- debugmsg("operator-(ex,ex)",LOGLEVEL_OPERATOR);
- return lh.exadd(rh.exmul(_ex_1()));
+ return (new add(lh,rh))->setflag(status_flags::dynallocated);
}
-ex operator*(const ex & lh, const ex & rh)
+/** Used internally by operator*() to multiply two ex objects together. */
+static inline const ex exmul(const ex & lh, const ex & rh)
{
- debugmsg("operator*(ex,ex)",LOGLEVEL_OPERATOR);
- return lh.exmul(rh);
-}
-
-ex operator/(const ex & lh, const ex & rh)
-{
- debugmsg("operator*(ex,ex)",LOGLEVEL_OPERATOR);
- return lh.exmul(power(rh,_ex_1()));
+ // Check if we are constructing a mul object or a ncmul object. Due to
+ // ncmul::eval()'s rule to pull out commutative elements we need to check
+ // only one of the elements.
+ if (rh.return_type()==return_types::commutative ||
+ lh.return_type()==return_types::commutative)
+ return (new mul(lh,rh))->setflag(status_flags::dynallocated);
+ else
+ return (new ncmul(lh,rh))->setflag(status_flags::dynallocated);
}
-ex operator%(const ex & lh, const ex & rh)
+/** Used internally by operator-() and friends to change the sign of an argument. */
+static inline const ex exminus(const ex & lh)
{
- debugmsg("operator%(ex,ex)",LOGLEVEL_OPERATOR);
- return lh.exncmul(rh);
+ return (new mul(lh,_ex_1()))->setflag(status_flags::dynallocated);
}
+// binary arithmetic operators ex with ex
-// binary arithmetic operators numeric with numeric
-
-numeric operator+(const numeric & lh, const numeric & rh)
+const ex operator+(const ex & lh, const ex & rh)
{
- debugmsg("operator+(numeric,numeric)",LOGLEVEL_OPERATOR);
- return lh.add(rh);
+ debugmsg("operator+(ex,ex)",LOGLEVEL_OPERATOR);
+ return exadd(lh, rh);
}
-numeric operator-(const numeric & lh, const numeric & rh)
+const ex operator-(const ex & lh, const ex & rh)
{
- debugmsg("operator-(numeric,numeric)",LOGLEVEL_OPERATOR);
- return lh.sub(rh);
+ debugmsg("operator-(ex,ex)",LOGLEVEL_OPERATOR);
+ return exadd(lh, exminus(rh));
}
-numeric operator*(const numeric & lh, const numeric & rh)
+const ex operator*(const ex & lh, const ex & rh)
{
- debugmsg("operator*(numeric,numeric)",LOGLEVEL_OPERATOR);
- return lh.mul(rh);
+ debugmsg("operator*(ex,ex)",LOGLEVEL_OPERATOR);
+ return exmul(lh, rh);
}
-numeric operator/(const numeric & lh, const numeric & rh)
+const ex operator/(const ex & lh, const ex & rh)
{
- debugmsg("operator/(numeric,ex)",LOGLEVEL_OPERATOR);
- return lh.div(rh);
+ debugmsg("operator/(ex,ex)",LOGLEVEL_OPERATOR);
+ return exmul(lh, power(rh,_ex_1()));
}
-// binary arithmetic assignment operators with ex
-
-const ex & operator+=(ex & lh, const ex & rh)
-{
- debugmsg("operator+=(ex,ex)",LOGLEVEL_OPERATOR);
- return (lh=lh+rh);
-}
+// binary arithmetic operators numeric with numeric
-const ex & operator-=(ex & lh, const ex & rh)
+const numeric operator+(const numeric & lh, const numeric & rh)
{
- debugmsg("operator-=(ex,ex)",LOGLEVEL_OPERATOR);
- return (lh=lh-rh);
+ debugmsg("operator+(numeric,numeric)",LOGLEVEL_OPERATOR);
+ return lh.add(rh);
}
-const ex & operator*=(ex & lh, const ex & rh)
+const numeric operator-(const numeric & lh, const numeric & rh)
{
- debugmsg("operator*=(ex,ex)",LOGLEVEL_OPERATOR);
- return (lh=lh*rh);
+ debugmsg("operator-(numeric,numeric)",LOGLEVEL_OPERATOR);
+ return lh.sub(rh);
}
-const ex & operator/=(ex & lh, const ex & rh)
+const numeric operator*(const numeric & lh, const numeric & rh)
{
- debugmsg("operator/=(ex,ex)",LOGLEVEL_OPERATOR);
- return (lh=lh/rh);
+ debugmsg("operator*(numeric,numeric)",LOGLEVEL_OPERATOR);
+ return lh.mul(rh);
}
-const ex & operator%=(ex & lh, const ex & rh)
+const numeric operator/(const numeric & lh, const numeric & rh)
{
- debugmsg("operator%=(ex,ex)",LOGLEVEL_OPERATOR);
- return (lh=lh%rh);
+ debugmsg("operator/(numeric,ex)",LOGLEVEL_OPERATOR);
+ return lh.div(rh);
}
-// binary arithmetic assignment operators with numeric
+// binary arithmetic assignment operators with ex
-const numeric & operator+=(numeric & lh, const numeric & rh)
+ex & operator+=(ex & lh, const ex & rh)
{
- debugmsg("operator+=(numeric,numeric)",LOGLEVEL_OPERATOR);
- return (lh=lh.add(rh));
+ debugmsg("operator+=(ex,ex)",LOGLEVEL_OPERATOR);
+ return lh = exadd(lh, rh);
}
-const numeric & operator-=(numeric & lh, const numeric & rh)
+ex & operator-=(ex & lh, const ex & rh)
{
- debugmsg("operator-=(numeric,numeric)",LOGLEVEL_OPERATOR);
- return (lh=lh.sub(rh));
+ debugmsg("operator-=(ex,ex)",LOGLEVEL_OPERATOR);
+ return lh = exadd(lh, exminus(rh));
}
-const numeric & operator*=(numeric & lh, const numeric & rh)
+ex & operator*=(ex & lh, const ex & rh)
{
- debugmsg("operator*=(numeric,numeric)",LOGLEVEL_OPERATOR);
- return (lh=lh.mul(rh));
+ debugmsg("operator*=(ex,ex)",LOGLEVEL_OPERATOR);
+ return lh = exmul(lh, rh);
}
-const numeric & operator/=(numeric & lh, const numeric & rh)
+ex & operator/=(ex & lh, const ex & rh)
{
- debugmsg("operator/=(numeric,numeric)",LOGLEVEL_OPERATOR);
- return (lh=lh.div(rh));
+ debugmsg("operator/=(ex,ex)",LOGLEVEL_OPERATOR);
+ return lh = exmul(lh, power(rh,_ex_1()));
}
-// unary operators
-ex operator+(const ex & lh)
-{
- return lh;
-}
+// binary arithmetic assignment operators with numeric
-ex operator-(const ex & lh)
+numeric & operator+=(numeric & lh, const numeric & rh)
{
- return lh.exmul(_ex_1());
+ debugmsg("operator+=(numeric,numeric)",LOGLEVEL_OPERATOR);
+ lh = lh.add(rh);
+ return lh;
}
-numeric operator+(const numeric & lh)
+numeric & operator-=(numeric & lh, const numeric & rh)
{
- return lh;
+ debugmsg("operator-=(numeric,numeric)",LOGLEVEL_OPERATOR);
+ lh = lh.sub(rh);
+ return lh;
}
-numeric operator-(const numeric & lh)
+numeric & operator*=(numeric & lh, const numeric & rh)
{
- return _num_1()*lh;
+ debugmsg("operator*=(numeric,numeric)",LOGLEVEL_OPERATOR);
+ lh = lh.mul(rh);
+ return lh;
}
-/** Numeric prefix increment. Adds 1 and returns incremented number. */
-numeric& operator++(numeric & rh)
+numeric & operator/=(numeric & lh, const numeric & rh)
{
- rh = rh+_num1();
- return rh;
+ debugmsg("operator/=(numeric,numeric)",LOGLEVEL_OPERATOR);
+ lh = lh.div(rh);
+ return lh;
}
-/** Numeric prefix decrement. Subtracts 1 and returns decremented number. */
-numeric& operator--(numeric & rh)
-{
- rh = rh-_num1();
- return rh;
-}
-/** Numeric postfix increment. Returns the number and leaves the original
- * incremented by 1. */
-numeric operator++(numeric & lh, int)
-{
- numeric tmp = lh;
- lh = lh+_num1();
- return tmp;
-}
+// unary operators
-/** Numeric Postfix decrement. Returns the number and leaves the original
- * decremented by 1. */
-numeric operator--(numeric & lh, int)
+const ex operator+(const ex & lh)
{
- numeric tmp = lh;
- lh = lh-_num1();
- return tmp;
+ debugmsg("operator+(ex)",LOGLEVEL_OPERATOR);
+ return lh;
}
-// binary relational operators ex with ex
-
-relational operator==(const ex & lh, const ex & rh)
+const ex operator-(const ex & lh)
{
- debugmsg("operator==(ex,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::equal);
+ debugmsg("operator-(ex)",LOGLEVEL_OPERATOR);
+ return exminus(lh);
}
-relational operator!=(const ex & lh, const ex & rh)
+const numeric operator+(const numeric & lh)
{
- debugmsg("operator!=(ex,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::not_equal);
+ debugmsg("operator+(numeric)",LOGLEVEL_OPERATOR);
+ return lh;
}
-relational operator<(const ex & lh, const ex & rh)
+const numeric operator-(const numeric & lh)
{
- debugmsg("operator<(ex,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::less);
+ debugmsg("operator-(numeric)",LOGLEVEL_OPERATOR);
+ return _num_1().mul(lh);
}
-relational operator<=(const ex & lh, const ex & rh)
-{
- debugmsg("operator<=(ex,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::less_or_equal);
-}
-relational operator>(const ex & lh, const ex & rh)
+// increment / decrement operators
+
+/** Expression prefix increment. Adds 1 and returns incremented ex. */
+ex & operator++(ex & rh)
{
- debugmsg("operator>(ex,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::greater);
+ debugmsg("operator++(ex)",LOGLEVEL_OPERATOR);
+ return rh = exadd(rh, _ex1());
}
-relational operator>=(const ex & lh, const ex & rh)
+/** Expression prefix decrement. Subtracts 1 and returns decremented ex. */
+ex & operator--(ex & rh)
{
- debugmsg("operator>=(ex,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::greater_or_equal);
+ debugmsg("operator--(ex)",LOGLEVEL_OPERATOR);
+ return rh = exadd(rh, _ex_1());
}
-/*
-
-// binary relational operators ex with numeric
-
-relational operator==(const ex & lh, const numeric & rh)
+/** Expression postfix increment. Returns the ex and leaves the original
+ * incremented by 1. */
+const ex operator++(ex & lh, int)
{
- debugmsg("operator==(ex,numeric)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::equal);
+ debugmsg("operator++(ex,int)",LOGLEVEL_OPERATOR);
+ ex tmp(lh);
+ lh = exadd(lh, _ex1());
+ return tmp;
}
-relational operator!=(const ex & lh, const numeric & rh)
+/** Expression Postfix decrement. Returns the ex and leaves the original
+ * decremented by 1. */
+const ex operator--(ex & lh, int)
{
- debugmsg("operator!=(ex,numeric)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::not_equal);
+ debugmsg("operator--(ex,int)",LOGLEVEL_OPERATOR);
+ ex tmp(lh);
+ lh = exadd(lh, _ex_1());
+ return tmp;
}
-relational operator<(const ex & lh, const numeric & rh)
+/** Numeric prefix increment. Adds 1 and returns incremented number. */
+numeric& operator++(numeric & rh)
{
- debugmsg("operator<(ex,numeric)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::less);
+ debugmsg("operator++(numeric)",LOGLEVEL_OPERATOR);
+ rh = rh.add(_num1());
+ return rh;
}
-relational operator<=(const ex & lh, const numeric & rh)
+/** Numeric prefix decrement. Subtracts 1 and returns decremented number. */
+numeric& operator--(numeric & rh)
{
- debugmsg("operator<=(ex,numeric)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::less_or_equal);
+ debugmsg("operator--(numeric)",LOGLEVEL_OPERATOR);
+ rh = rh.add(_num_1());
+ return rh;
}
-relational operator>(const ex & lh, const numeric & rh)
+/** Numeric postfix increment. Returns the number and leaves the original
+ * incremented by 1. */
+const numeric operator++(numeric & lh, int)
{
- debugmsg("operator>(ex,numeric)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::greater);
+ debugmsg("operator++(numeric,int)",LOGLEVEL_OPERATOR);
+ numeric tmp(lh);
+ lh = lh.add(_num1());
+ return tmp;
}
-relational operator>=(const ex & lh, const numeric & rh)
+/** Numeric Postfix decrement. Returns the number and leaves the original
+ * decremented by 1. */
+const numeric operator--(numeric & lh, int)
{
- debugmsg("operator>=(ex,numeric)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::greater_or_equal);
+ debugmsg("operator--(numeric,int)",LOGLEVEL_OPERATOR);
+ numeric tmp(lh);
+ lh = lh.add(_num_1());
+ return tmp;
}
-// binary relational operators numeric with ex
+// binary relational operators ex with ex
-relational operator==(const numeric & lh, const ex & rh)
+const relational operator==(const ex & lh, const ex & rh)
{
- debugmsg("operator==(numeric,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::equal);
+ debugmsg("operator==(ex,ex)",LOGLEVEL_OPERATOR);
+ return relational(lh,rh,relational::equal);
}
-relational operator!=(const numeric & lh, const ex & rh)
+const relational operator!=(const ex & lh, const ex & rh)
{
- debugmsg("operator!=(numeric,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::not_equal);
+ debugmsg("operator!=(ex,ex)",LOGLEVEL_OPERATOR);
+ return relational(lh,rh,relational::not_equal);
}
-relational operator<(const numeric & lh, const ex & rh)
+const relational operator<(const ex & lh, const ex & rh)
{
- debugmsg("operator<(numeric,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::less);
+ debugmsg("operator<(ex,ex)",LOGLEVEL_OPERATOR);
+ return relational(lh,rh,relational::less);
}
-relational operator<=(const numeric & lh, const ex & rh)
+const relational operator<=(const ex & lh, const ex & rh)
{
- debugmsg("operator<=(numeric,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::less_or_equal);
+ debugmsg("operator<=(ex,ex)",LOGLEVEL_OPERATOR);
+ return relational(lh,rh,relational::less_or_equal);
}
-relational operator>(const numeric & lh, const ex & rh)
+const relational operator>(const ex & lh, const ex & rh)
{
- debugmsg("operator>(numeric,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::greater);
+ debugmsg("operator>(ex,ex)",LOGLEVEL_OPERATOR);
+ return relational(lh,rh,relational::greater);
}
-relational operator>=(const numeric & lh, const ex & rh)
+const relational operator>=(const ex & lh, const ex & rh)
{
- debugmsg("operator>=(numeric,ex)",LOGLEVEL_OPERATOR);
- return relational(lh,rh,relational::greater_or_equal);
+ debugmsg("operator>=(ex,ex)",LOGLEVEL_OPERATOR);
+ return relational(lh,rh,relational::greater_or_equal);
}
-*/
-
// input/output stream operators
-ostream & operator<<(ostream & os, const ex & e)
+std::ostream & operator<<(std::ostream & os, const ex & e)
{
- e.print(os);
- return os;
+ e.print(print_context(os));
+ return os;
}
-/** Input (parse) expression from stream. The input grammar is similar to the
- * GiNaC output format. If 'e' contains a list of symbols upon entry, these
- * symbols are used in the parsed expression in all places where symbols with
- * the same names appear. All other encountered symbols will be newly created. */
-istream & operator>>(istream & is, ex & e)
+std::istream & operator>>(std::istream & is, ex & e)
{
- string s;
- getline(is, s);
- set_lexer_string(s);
- set_lexer_symbols(e);
- ginac_yyrestart(NULL);
- if (yyparse())
- throw (std::runtime_error(get_parser_error()));
- else
- e = parsed_ex;
+ throw (std::logic_error("expression input from streams not implemented"));
}
-#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC
git://www.ginac.de / ginac.git / blobdiff