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EvtComplex.hh
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EvtComplex.hh
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/***********************************************************************
* Copyright 1998-2020 CERN for the benefit of the EvtGen authors *
* *
* This file is part of EvtGen. *
* *
* EvtGen 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. *
* *
* EvtGen 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 EvtGen. If not, see <https://www.gnu.org/licenses/>. *
***********************************************************************/
#ifndef EVTCOMPLEX_HH
#define EVTCOMPLEX_HH
#include
"EvtGenBase/EvtConst.hh"
#include
<iostream>
#include
<math.h>
class
EvtComplex
{
inline
friend
EvtComplex
operator
*
(
double
d
,
const
EvtComplex
&
c
);
inline
friend
EvtComplex
operator
*
(
const
EvtComplex
&
c
,
double
d
);
inline
friend
EvtComplex
operator
/
(
const
EvtComplex
&
c
,
double
d
);
inline
friend
EvtComplex
operator
/
(
double
d
,
const
EvtComplex
&
c
);
inline
friend
EvtComplex
operator
*
(
const
EvtComplex
&
c1
,
const
EvtComplex
&
c2
);
inline
friend
EvtComplex
operator
/
(
const
EvtComplex
&
c1
,
const
EvtComplex
&
c2
);
inline
friend
EvtComplex
operator
+
(
const
EvtComplex
&
c1
,
const
EvtComplex
&
c2
);
inline
friend
EvtComplex
operator
-
(
const
EvtComplex
&
c1
,
const
EvtComplex
&
c2
);
inline
friend
EvtComplex
operator
-
(
const
EvtComplex
&
c
);
inline
friend
EvtComplex
conj
(
const
EvtComplex
&
c
);
inline
friend
double
abs
(
const
EvtComplex
&
c
);
inline
friend
double
abs2
(
const
EvtComplex
&
c
);
inline
friend
double
arg
(
const
EvtComplex
&
c
);
inline
friend
double
real
(
const
EvtComplex
&
c
);
inline
friend
double
imag
(
const
EvtComplex
&
c
);
inline
friend
EvtComplex
exp
(
const
EvtComplex
&
c
);
friend
std
::
ostream
&
operator
<<
(
std
::
ostream
&
s
,
const
EvtComplex
&
c
);
public
:
EvtComplex
()
:
_rpart
(
0.0
),
_ipart
(
0.0
)
{}
EvtComplex
(
double
rpart
,
double
ipart
=
0.0
)
:
_rpart
(
rpart
),
_ipart
(
ipart
)
{
}
EvtComplex
(
const
EvtComplex
&
c
)
:
_rpart
(
c
.
_rpart
),
_ipart
(
c
.
_ipart
)
{
}
inline
EvtComplex
&
operator
*=
(
double
d
);
inline
EvtComplex
&
operator
/=
(
double
d
);
EvtComplex
&
operator
*=
(
EvtComplex
c
);
EvtComplex
&
operator
/=
(
EvtComplex
c
);
inline
EvtComplex
&
operator
=
(
const
EvtComplex
&
c
);
inline
EvtComplex
&
operator
+=
(
const
EvtComplex
&
c
);
inline
EvtComplex
&
operator
-=
(
const
EvtComplex
&
c
);
inline
EvtComplex
&
operator
+=
(
double
d
);
inline
EvtComplex
&
operator
-=
(
double
d
);
inline
int
operator
==
(
const
EvtComplex
c
);
inline
int
operator
!=
(
const
EvtComplex
c
);
private
:
double
_rpart
,
_ipart
;
};
typedef
EvtComplex
*
EvtComplexPtr
;
typedef
EvtComplexPtr
*
EvtComplexPtrPtr
;
typedef
EvtComplexPtrPtr
*
EvtComplexPtrPtrPtr
;
EvtComplex
&
EvtComplex
::
operator
=
(
const
EvtComplex
&
c
)
{
_rpart
=
c
.
_rpart
;
_ipart
=
c
.
_ipart
;
return
*
this
;
}
EvtComplex
&
EvtComplex
::
operator
+=
(
const
EvtComplex
&
c
)
{
_rpart
+=
c
.
_rpart
;
_ipart
+=
c
.
_ipart
;
return
*
this
;
}
EvtComplex
&
EvtComplex
::
operator
-=
(
const
EvtComplex
&
c
)
{
_rpart
-=
c
.
_rpart
;
_ipart
-=
c
.
_ipart
;
return
*
this
;
}
EvtComplex
&
EvtComplex
::
operator
+=
(
double
d
)
{
_rpart
+=
d
;
return
*
this
;
}
EvtComplex
&
EvtComplex
::
operator
-=
(
double
d
)
{
_rpart
-=
d
;
return
*
this
;
}
EvtComplex
operator
*
(
double
d
,
const
EvtComplex
&
c
)
{
return
EvtComplex
(
c
.
_rpart
*
d
,
c
.
_ipart
*
d
);
}
EvtComplex
operator
*
(
const
EvtComplex
&
c
,
double
d
)
{
return
EvtComplex
(
c
.
_rpart
*
d
,
c
.
_ipart
*
d
);
}
EvtComplex
operator
/
(
const
EvtComplex
&
c
,
double
d
)
{
return
EvtComplex
(
c
.
_rpart
/
d
,
c
.
_ipart
/
d
);
}
EvtComplex
&
EvtComplex
::
operator
*=
(
double
d
)
{
_rpart
*=
d
;
_ipart
*=
d
;
return
*
this
;
}
EvtComplex
&
EvtComplex
::
operator
/=
(
double
d
)
{
_rpart
/=
d
;
_ipart
/=
d
;
return
*
this
;
}
EvtComplex
operator
/
(
double
d
,
const
EvtComplex
&
c
)
{
double
Num
=
d
/
(
c
.
_rpart
*
c
.
_rpart
+
c
.
_ipart
*
c
.
_ipart
);
return
EvtComplex
(
Num
*
c
.
_rpart
,
-
Num
*
c
.
_ipart
);
}
EvtComplex
operator
/
(
const
EvtComplex
&
c1
,
const
EvtComplex
&
c2
)
{
double
inv
=
1.0
/
(
c2
.
_rpart
*
c2
.
_rpart
+
c2
.
_ipart
*
c2
.
_ipart
);
return
EvtComplex
(
inv
*
(
c1
.
_rpart
*
c2
.
_rpart
+
c1
.
_ipart
*
c2
.
_ipart
),
inv
*
(
c1
.
_ipart
*
c2
.
_rpart
-
c1
.
_rpart
*
c2
.
_ipart
)
);
}
EvtComplex
operator
*
(
const
EvtComplex
&
c1
,
const
EvtComplex
&
c2
)
{
return
EvtComplex
(
c1
.
_rpart
*
c2
.
_rpart
-
c1
.
_ipart
*
c2
.
_ipart
,
c1
.
_rpart
*
c2
.
_ipart
+
c1
.
_ipart
*
c2
.
_rpart
);
}
EvtComplex
operator
-
(
const
EvtComplex
&
c1
,
const
EvtComplex
&
c2
)
{
return
EvtComplex
(
c1
.
_rpart
-
c2
.
_rpart
,
c1
.
_ipart
-
c2
.
_ipart
);
}
EvtComplex
operator
+
(
const
EvtComplex
&
c1
,
const
EvtComplex
&
c2
)
{
return
EvtComplex
(
c1
.
_rpart
+
c2
.
_rpart
,
c1
.
_ipart
+
c2
.
_ipart
);
}
int
EvtComplex
::
operator
==
(
const
EvtComplex
c
)
{
return
_rpart
==
c
.
_rpart
&&
_ipart
==
c
.
_ipart
;
}
int
EvtComplex
::
operator
!=
(
const
EvtComplex
c
)
{
return
_rpart
!=
c
.
_rpart
||
_ipart
!=
c
.
_ipart
;
}
EvtComplex
operator
-
(
const
EvtComplex
&
c
)
{
return
EvtComplex
(
-
c
.
_rpart
,
-
c
.
_ipart
);
}
EvtComplex
conj
(
const
EvtComplex
&
c
)
{
return
EvtComplex
(
c
.
_rpart
,
-
c
.
_ipart
);
}
double
abs
(
const
EvtComplex
&
c
)
{
double
c2
=
c
.
_rpart
*
c
.
_rpart
+
c
.
_ipart
*
c
.
_ipart
;
if
(
c2
<=
0.0
)
return
0.0
;
return
sqrt
(
c2
);
}
double
abs2
(
const
EvtComplex
&
c
)
{
return
c
.
_rpart
*
c
.
_rpart
+
c
.
_ipart
*
c
.
_ipart
;
}
double
arg
(
const
EvtComplex
&
c
)
{
if
(
(
c
.
_rpart
==
0
)
&&
(
c
.
_ipart
==
0
)
)
{
return
0.0
;
}
if
(
c
.
_rpart
==
0
)
{
if
(
c
.
_ipart
>
0
)
{
return
EvtConst
::
pi
/
2
;
}
else
{
return
-
EvtConst
::
pi
/
2
;
}
}
else
{
return
atan2
(
c
.
_ipart
,
c
.
_rpart
);
}
}
double
real
(
const
EvtComplex
&
c
)
{
return
c
.
_rpart
;
}
double
imag
(
const
EvtComplex
&
c
)
{
return
c
.
_ipart
;
}
EvtComplex
exp
(
const
EvtComplex
&
c
)
{
return
exp
(
c
.
_rpart
)
*
EvtComplex
(
cos
(
c
.
_ipart
),
sin
(
c
.
_ipart
)
);
}
#endif
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