/Users/garethloy/Musimathics/Musimat1.2/include/Complex.h File Reference

The Complex datatype. More...

#include <iostream>
#include <math.h>
#include "Musimat.h"

Go to the source code of this file.

Classes
class	Complex
	Complex class implements a set of data types, conversions, and operations for complex numbers. More...
Functions
Real	RealPart (Complex c)
	Convenience function to get the real part of a Complex number.
Real	ImagPart (Complex c)
	Convenience function to get the imaginary part of a Complex number.
Void	RealPart (Complex &c, Real r)
	Convenience function to set the real part of a Complex number.
Void	ImagPart (Complex &c, Real r)
	Convenience function to set the imaginary part of a Complex number.
Complex	Abs (Complex c)
	Convenience function to return the absolute value of a Complex number.
Complex	Conjugate (Complex c)
	Convenience function to return the conjugate value of a Complex number.
Complex	Exp (Complex a, Complex b)
	Raise Complex a to the power of Complex b.
Complex	Exp (Real r, Real theta)
	Raise Real r to the power of Real theta.

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Detailed Description

The Complex datatype.

Definition in file Complex.h.

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Function Documentation

Complex Abs

(

Complex

c )

[inline]

Convenience function to return the absolute value of a Complex number.

Definition at line 263 of file Complex.h.

References Complex::Abs(), and Return.

Referenced by RealToRational().

{ Return(c.Abs()); }

Complex Conjugate

(

Complex

c )

[inline]

Convenience function to return the conjugate value of a Complex number.

Definition at line 266 of file Complex.h.

References Return.

{ Return(~c); }

Complex Exp	(	Real	r,
		Real	theta
	)		[inline]

Raise Real r to the power of Real theta.

Parameters:

r	Real base
theta	Real exponent

Definition at line 279 of file Complex.h.

References Cos(), Return, and Sin().

                                       {
        Complex t(r * Cos(theta), r * Sin(theta));
        Return t;
}

Complex Exp	(	Complex	a,
		Complex	b
	)		[inline]

Raise Complex a to the power of Complex b.

Parameters:

a	Complex base
b	Complex exponent

Definition at line 271 of file Complex.h.

References Complex::Exp(), and Return.

                                           {
        Complex x = a.Exp( b );
        Return x;
}

Void ImagPart	(	Complex &	c,
		Real	r
	)		[inline]

Convenience function to set the imaginary part of a Complex number.

Definition at line 260 of file Complex.h.

References Complex::i().

{ c.i(r); }

Real ImagPart

(

Complex

c )

[inline]

Convenience function to get the imaginary part of a Complex number.

Returns:

Imaginary part of Complex number as a Real

Definition at line 254 of file Complex.h.

References Complex::i(), and Return.

{ Return c.i(); }

Void RealPart	(	Complex &	c,
		Real	r
	)		[inline]

Convenience function to set the real part of a Complex number.

Definition at line 257 of file Complex.h.

References Complex::r().

{ c.r(r); }

Real RealPart

(

Complex

c )

[inline]

Convenience function to get the real part of a Complex number.

Returns:

Real part of Complex number as a Real

Definition at line 250 of file Complex.h.

References Complex::r(), and Return.

{ Return c.r(); }