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ComplexNumber.cpp
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Fri, Aug 23, 18:21
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Sun, Aug 25, 18:21 (1 d, 21 h)
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20122046
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R9360 PCSC_git
ComplexNumber.cpp
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#include "ComplexNumber.hpp"
#include <cmath>
// Override default constructor
// Set real and imaginary parts to zero
ComplexNumber
::
ComplexNumber
()
{
mRealPart
=
0.0
;
mImaginaryPart
=
0.0
;
}
// Constructor that sets complex number z=x+iy
ComplexNumber
::
ComplexNumber
(
double
x
,
double
y
)
{
mRealPart
=
x
;
mImaginaryPart
=
y
;
}
// Copy constructor
ComplexNumber
::
ComplexNumber
(
const
ComplexNumber
&
c
)
:
mRealPart
(
c
.
GetRealPart
()),
mImaginaryPart
(
c
.
GetImaginaryPart
())
{}
// Constructor for number with only real part
ComplexNumber
::
ComplexNumber
(
const
double
d
)
:
mRealPart
(
d
),
mImaginaryPart
(
0.0
)
{}
// Get methods
double
ComplexNumber
::
GetRealPart
()
const
{
return
mRealPart
;
}
double
ComplexNumber
::
GetImaginaryPart
()
const
{
return
mImaginaryPart
;
}
// Method for computing the modulus of a
// complex number
double
ComplexNumber
::
CalculateModulus
()
const
{
return
sqrt
(
mRealPart
*
mRealPart
+
mImaginaryPart
*
mImaginaryPart
);
}
// Method for computing the argument of a
// complex number
double
ComplexNumber
::
CalculateArgument
()
const
{
return
atan2
(
mImaginaryPart
,
mRealPart
);
}
// Method for raising complex number to the power n
// using De Moivre’s theorem - first complex
// number must be converted to polar form
ComplexNumber
ComplexNumber
::
CalculatePower
(
double
n
)
const
{
double
modulus
=
CalculateModulus
();
double
argument
=
CalculateArgument
();
double
mod_of_result
=
pow
(
modulus
,
n
);
double
arg_of_result
=
argument
*
n
;
double
real_part
=
mod_of_result
*
cos
(
arg_of_result
);
double
imag_part
=
mod_of_result
*
sin
(
arg_of_result
);
ComplexNumber
z
(
real_part
,
imag_part
);
return
z
;
}
// Computes the complex conjugate
ComplexNumber
ComplexNumber
::
CalculateConjugate
()
const
{
return
ComplexNumber
(
mRealPart
,
-
mImaginaryPart
);
}
void
ComplexNumber
::
SetConjugate
()
{
mImaginaryPart
=
-
mImaginaryPart
;
}
// Overloading the = (assignment) operator
ComplexNumber
&
ComplexNumber
::
operator
=
(
const
ComplexNumber
&
z
)
{
mRealPart
=
z
.
mRealPart
;
mImaginaryPart
=
z
.
mImaginaryPart
;
return
*
this
;
}
// Overloading the unary - operator
ComplexNumber
ComplexNumber
::
operator
-
()
const
{
ComplexNumber
w
;
w
.
mRealPart
=
-
mRealPart
;
w
.
mImaginaryPart
=
-
mImaginaryPart
;
return
w
;
}
// Overloading the binary + operator
ComplexNumber
ComplexNumber
::
operator
+
(
const
ComplexNumber
&
z
)
const
{
ComplexNumber
w
;
w
.
mRealPart
=
mRealPart
+
z
.
mRealPart
;
w
.
mImaginaryPart
=
mImaginaryPart
+
z
.
mImaginaryPart
;
return
w
;
}
// Overloading the binary - operator
ComplexNumber
ComplexNumber
::
operator
-
(
const
ComplexNumber
&
z
)
const
{
ComplexNumber
w
;
w
.
mRealPart
=
mRealPart
-
z
.
mRealPart
;
w
.
mImaginaryPart
=
mImaginaryPart
-
z
.
mImaginaryPart
;
return
w
;
}
ComplexNumber
ComplexNumber
::
operator
*
(
const
double
d
)
const
{
ComplexNumber
t
(
mRealPart
*
d
,
mImaginaryPart
*
d
);
return
t
;
}
ComplexNumber
ComplexNumber
::
operator
*
(
const
ComplexNumber
&
z
)
const
{
return
ComplexNumber
(
mRealPart
*
z
.
GetRealPart
()
-
mImaginaryPart
*
z
.
GetImaginaryPart
(),
mImaginaryPart
*
z
.
GetRealPart
()
+
mRealPart
*
z
.
GetImaginaryPart
());
}
// Overloading the insertion << operator
std
::
ostream
&
operator
<<
(
std
::
ostream
&
output
,
const
ComplexNumber
&
z
)
{
// Format as "(a + bi)" or as "(a - bi)"
output
<<
"("
<<
z
.
mRealPart
<<
" "
;
if
(
z
.
mImaginaryPart
>=
0.0
)
{
output
<<
"+ "
<<
z
.
mImaginaryPart
<<
"i)"
;
}
else
{
// z.mImaginaryPart < 0.0
// Replace + with minus sign
output
<<
"- "
<<
-
z
.
mImaginaryPart
<<
"i)"
;
}
return
output
;
}
double
RealPart
(
const
ComplexNumber
&
z
)
{
return
z
.
mRealPart
;
}
double
ImaginaryPart
(
const
ComplexNumber
&
z
)
{
return
z
.
mImaginaryPart
;
}
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