A complex number class for use in simulating quantum systems
Declaration Syntax| C# | Visual Basic | Visual C++ |
public class Complex : ICoveObject, ICloneable
Public Class Complex _ Implements ICoveObject, ICloneable
public ref class Complex : ICoveObject, ICloneable
Members| All Members | Constructors | Methods | Fields | ||
| Icon | Member | Description |
|---|---|---|
 | Complex()()() |
Default constuctor, creates a complex number 0 + 0i.
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| Complex(Double) |
Overload to construct a complex number with only the real portion set. (imaginary is 0)
|
| Complex(Int32) |
Overload to construct a complex number with only the real portion set. (imaginary is 0)
|
| Complex(Double, Double) |
Overloaded constructor to create the complex number specified
|
| Complex(Complex) |
Construct a new complex number as a deep copy of an existing one
|
| AbsoluteValue()()() |
Return the absolute value of the complex number, defined by (a^2 + b^2)^(1/2).
Since i^2 = 1, there will be no imaginary component. The absolute value is also known
as the modulus.
Reference: J. Stewart, Calculus, 3 ed. Pacific Grove, CA: Brooks/Cole Publishing Company, 1995.
|
| AbsoluteValueSquared()()() |
Returns the square of the absolute value. Since i^2 = 1, there will be no imaginary component
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  | Addition(Complex, Complex) |
Perform addition between complex numbers. Addition between complex numbers
is defined as (a + bi) + (c + di) = (a + c) + (b + d)i
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| Clone()()() |
Return a deep copy of the object
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| Division(Complex, Complex) |
Perform division between two complex numbers
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| Equality(Complex, Complex) |
Are two complex numbers equal? Two complex numbers are equal if given complex numbers
a + bi and c + di, a == c and b == d.
|
 | EQUALITY_TOLERANCE |
The tolerance for the equality operation. If the two numbers are being
compared within this then consider them equal. This is to account for losses
in accuracy because these are floating point operations.
Tolerance is to 12 digits, double has a precission of 15-16 digits.
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| Equals(Object) |
Have to override the equal method
(Overrides Object.Equals(Object).) |
| Equals(Complex) |
Overloaded Equals() to compare to a Complex object
|
| Equals(Double) |
A complex number is considered equal to a double if the real part is the same as the
double and the imaginary part is 0.
|
| Equals(Int32) |
A complex number is considered equal to an ubt if the real part is the same as the
int and the imaginary part is 0.
|
 | Finalize()()() | Allows an Object to attempt to free resources and perform other cleanup operations before the Object is reclaimed by garbage collection. (Inherited from Object.) |
| GetComplexConjugate()()() |
Get the conjugate, which is just the complex number with the sign reversed
on the imaginary part.
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| GetHashCode()()() |
Returns the hash code for this object
(Overrides Object.GetHashCode()()().) |
| GetImaginary()()() |
Get the imaginary part of the complex number. This is b in the complex
number a + bi.
|
| GetReal()()() |
Get the real part of the complex number. This is a in the complex
number a + bi.
|
| GetType()()() | Gets the Type of the current instance. (Inherited from Object.) |
| Implicit(Double) |
Allow for implicit conversions from double to complex. This is allowed implicitly since
a double is just a complex number with the imaginary part 0.
|
| Implicit(Int32) |
Allow for implicit conversions from int to complex. This is allowed implicitly since
an int is just a complex number with the imaginary part 0.
|
| Inequality(Complex, Complex) |
Are two complex numbers not equal? Two complex numbers are equal if given complex numbers
a + bi and c + di, a == c and b == d.
|
| MemberwiseClone()()() | Creates a shallow copy of the current Object. (Inherited from Object.) |
| Multiply(Complex, Complex) |
Perform multiplication between complex numbers. Multiplication is defined as
(a + bi)(c + di) = (ac - bd) + (ad + bc)i
|
| Multiply(Double, Complex) |
Perform multiplication by a number. Multiplication is defined as
x(a + bi) = ax + bxi
|
| Multiply(Complex, Double) |
Perform multiplication by a number. Multiplication is defined as
x(a + bi) = ax + bxi
|
| Set(Double) |
Set the complex number. The imaginary component will be 0.
|
| Set(Double, Double) |
Set the real and imaginary parts of the complex number
|
| SetImaginary(Double) |
Set only the imaginary part of the complex number and leave the
imaginary part unchanged.
|
| SetReal(Double) |
Set only the real part of the complex number and leave the imaginary part
unchanged.
|
| SquareRoot()()() |
Get the square root of this complex number.
|
| Subtraction(Complex, Complex) |
Perform subtraction between two complex numbers. Subtraction is defined as
(a + bi) - (c + di) = (a - c) + (b - d)i
|
| ToString()()() |
Return the string representation of the complex number, a + bi.
For negative imaginary numbers a - bi is returned instead of a + -bi
(Overrides Object.ToString()()().) |
RemarksImplements ICloneable to get deep copies
Inheritance Hierarchy| Object | |
 | Complex |