public static ComplexD Log(ComplexD a)
{
ComplexD result = ComplexD.Zero;
if ((a.Real > 0.0) && (a.Imaginary == 0.0))
{
result.Real = System.Math.Log(a.Real);
result.Imaginary = 0.0;
}
else if (a.Real == 0.0)
{
if (a.Imaginary > 0.0)
{
result.Real = System.Math.Log(a.Imaginary);
result.Imaginary = MathFunctions.HalfPI;
}
else
{
result.Real = System.Math.Log(-(a.Imaginary));
result.Imaginary = -MathFunctions.HalfPI;
}
}
else
{
result.Real = System.Math.Log(a.GetModulus());
result.Imaginary = System.Math.Atan2(a.Imaginary, a.Real);
}
return(result);
}
public static ComplexD Sqrt(ComplexD a)
{
ComplexD result = ComplexD.Zero;
if ((a.Real == 0.0) && (a.Imaginary == 0.0))
{
return(result);
}
else if (a.Imaginary == 0.0)
{
result.Real = (a.Real > 0) ? System.Math.Sqrt(a.Real) : System.Math.Sqrt(-a.Real);
result.Imaginary = 0.0;
}
else
{
double modulus = a.GetModulus();
result.Real = System.Math.Sqrt(0.5 * (modulus + a.Real));
result.Imaginary = System.Math.Sqrt(0.5 * (modulus - a.Real));
if (a.Imaginary < 0.0)
{
result.Imaginary = -result.Imaginary;
}
}
return(result);
}
/// <summary>
/// Tests whether two complex numbers are approximately equal given a tolerance value.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="b">A <see cref="ComplexD"/> instance.</param>
/// <param name="tolerance">The tolerance value used to test approximate equality.</param>
/// <returns><see langword="true"/> if the two vectors are approximately equal; otherwise, <see langword="false"/>.</returns>
public static bool ApproxEqual(ComplexD a, ComplexD b, double tolerance)
{
return
(
(System.Math.Abs(a.Real - b.Real) <= tolerance) &&
(System.Math.Abs(a.Imaginary - b.Imaginary) <= tolerance)
);
}
/// <summary>
/// Multiplies two complex numbers.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="b">A <see cref="ComplexD"/> instance.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the result.</returns>
public static ComplexD Multiply(ComplexD a, ComplexD b)
{
// (x + yi)(u + vi) = (xu – yv) + (xv + yu)i.
double x = a.Real, y = a.Imaginary;
double u = b.Real, v = b.Imaginary;
return(new ComplexD(x * u - y * v, x * v + y * u));
}
/// <summary>
/// Returns a value indicating whether this instance is equal to
/// the specified object.
/// </summary>
/// <param name="obj">An object to compare to this instance.</param>
/// <returns><see langword="true"/> if <paramref name="obj"/> is a <see cref="ComplexD"/> and has the same values as this instance; otherwise, <see langword="false"/>.</returns>
public override bool Equals(object obj)
{
if (obj is ComplexD)
{
ComplexD c = (ComplexD)obj;
return((this.Real == c.Real) && (this.Imaginary == c.Imaginary));
}
return(false);
}
/// <summary>
/// Multiplies two complex numbers and put the result in a third complex number.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="b">A <see cref="ComplexD"/> instance.</param>
/// <param name="result">A <see cref="ComplexD"/> instance to hold the result.</param>
public static void Multiply(ComplexD a, ComplexD b, ref ComplexD result)
{
// (x + yi)(u + vi) = (xu – yv) + (xv + yu)i.
double x = a.Real, y = a.Imaginary;
double u = b.Real, v = b.Imaginary;
result.Real = x * u - y * v;
result.Imaginary = x * v + y * u;
}
/// <summary>
/// Converts the given object to the type of this converter, using the specified context and culture information.
/// </summary>
/// <param name="context">An <see cref="ITypeDescriptorContext"/> that provides a format context.</param>
/// <param name="culture">The <see cref="System.Globalization.CultureInfo"/> to use as the current culture. </param>
/// <param name="value">The <see cref="Object"/> to convert.</param>
/// <returns>An <see cref="Object"/> that represents the converted value.</returns>
/// <exception cref="ParseException">Failed parsing from string.</exception>
public override object ConvertFrom(ITypeDescriptorContext context, System.Globalization.CultureInfo culture, object value)
{
if (value.GetType() == typeof(string))
{
return(ComplexD.Parse((string)value));
}
return(base.ConvertFrom(context, culture, value));
}
/// <summary>
/// Divides a scalar by a complex and put the result into another complex number.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <param name="result">A <see cref="ComplexD"/> instance to hold the result.</param>
public static void Divide(double s, ComplexD a, ref ComplexD result)
{
if ((a.Real == 0) || (a.Imaginary == 0))
{
throw new DivideByZeroException();
}
result.Real = s / a.Real;
result.Imaginary = s / a.Imaginary;
}
/// <summary>
/// Divides a complex by a scalar and put the result into another complex number.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <param name="result">A <see cref="ComplexD"/> instance to hold the result.</param>
public static void Divide(ComplexD a, double s, ref ComplexD result)
{
if (s == 0)
{
throw new DivideByZeroException();
}
result.Real = a.Real / s;
result.Imaginary = a.Imaginary / s;
}
/// <summary>
/// Divides a scalar by a complex.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the result.</returns>
public static ComplexD Divide(double s, ComplexD a)
{
if ((a.Real == 0) || (a.Imaginary == 0))
{
throw new DivideByZeroException();
}
return(new ComplexD(
s / a.Real,
s / a.Imaginary));
}
/// <summary>
/// Divides a complex by a scalar.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the result.</returns>
public static ComplexD Divide(ComplexD a, double s)
{
if (s == 0)
{
throw new DivideByZeroException();
}
return(new ComplexD(
a.Real / s,
a.Imaginary / s));
}
/// <summary>
/// Converts the given value object to the specified type, using the specified context and culture information.
/// </summary>
/// <param name="context">An <see cref="ITypeDescriptorContext"/> that provides a format context.</param>
/// <param name="culture">A <see cref="System.Globalization.CultureInfo"/> object. If a null reference (Nothing in Visual Basic) is passed, the current culture is assumed.</param>
/// <param name="value">The <see cref="Object"/> to convert.</param>
/// <param name="destinationType">The Type to convert the <paramref name="value"/> parameter to.</param>
/// <returns>An <see cref="Object"/> that represents the converted value.</returns>
public override object ConvertTo(ITypeDescriptorContext context, System.Globalization.CultureInfo culture, object value, Type destinationType)
{
if ((destinationType == typeof(string)) && (value is ComplexD))
{
ComplexD c = (ComplexD)value;
return(c.ToString());
}
return(base.ConvertTo(context, culture, value, destinationType));
}
public static ComplexD Exp(ComplexD a)
{
ComplexD result = ComplexD.Zero;
double r = System.Math.Exp(a.Real);
result.Real = r * System.Math.Cos(a.Imaginary);
result.Imaginary = r * System.Math.Sin(a.Imaginary);
return(result);
}
/// <summary>
/// Divides a complex by a complex and put the result in a third complex number.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="b">A <see cref="ComplexD"/> instance.</param>
/// <param name="result">A <see cref="ComplexD"/> instance to hold the result.</param>
public static void Divide(ComplexD a, ComplexD b, ref ComplexD result)
{
double x = a.Real, y = a.Imaginary;
double u = b.Real, v = b.Imaginary;
double modulusSquared = u * u + v * v;
if (modulusSquared == 0)
{
throw new DivideByZeroException();
}
double invModulusSquared = 1 / modulusSquared;
result.Real = (x * u + y * v) * invModulusSquared;
result.Imaginary = (y * u - x * v) * invModulusSquared;
}
public static ComplexD Cos(ComplexD a)
{
ComplexD result = ComplexD.Zero;
if (a.Imaginary == 0.0)
{
result.Real = System.Math.Cos(a.Real);
result.Imaginary = 0.0;
}
else
{
result.Real = System.Math.Cos(a.Real) * System.Math.Cosh(a.Imaginary);
result.Imaginary = -System.Math.Sin(a.Real) * System.Math.Sinh(a.Imaginary);
}
return(result);
}
/// <summary>
/// Divides a complex by a complex.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="b">A <see cref="ComplexD"/> instance.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the result.</returns>
public static ComplexD Divide(ComplexD a, ComplexD b)
{
double x = a.Real, y = a.Imaginary;
double u = b.Real, v = b.Imaginary;
double modulusSquared = u * u + v * v;
if (modulusSquared == 0)
{
throw new DivideByZeroException();
}
double invModulusSquared = 1 / modulusSquared;
return(new ComplexD(
(x * u + y * v) * invModulusSquared,
(y * u - x * v) * invModulusSquared));
}
public static ComplexD Tan(ComplexD a)
{
ComplexD result = ComplexD.Zero;
if (a.Imaginary == 0.0)
{
result.Real = System.Math.Tan(a.Real);
result.Imaginary = 0.0;
}
else
{
double real2 = 2 * a.Real;
double imag2 = 2 * a.Imaginary;
double denom = System.Math.Cos(real2) + System.Math.Cosh(real2);
result.Real = System.Math.Sin(real2) / denom;
result.Imaginary = System.Math.Sinh(imag2) / denom;
}
return(result);
}
public override void Remove(ComplexD value)
{
this._collection.Remove(value);
}
public override int IndexOf(ComplexD value)
{
return this._collection.IndexOf(value);
}
public override void CopyTo(ComplexD[] array)
{
this._collection.CopyTo(array);
}
public override void AddRange(ComplexD[] array)
{
foreach (ComplexD value in array)
CheckUnique(value);
this._collection.AddRange(array);
}
public override void Remove(ComplexD value)
{
lock (this._root) this._collection.Remove(value);
}
/// <summary>
/// Initializes a new instance of the <see cref="ComplexD"/> class using values from a given complex instance.
/// </summary>
/// <param name="c">A complex number to get values from.</param>
public ComplexD(ComplexD c)
{
_real = c.Real;
_image = c.Imaginary;
}
/// <summary>
/// Searches the entire sorted <see cref="ComplexDArrayList"/> for an
/// <see cref="ComplexD"/> element using the default comparer
/// and returns the zero-based index of the element.
/// </summary>
/// <param name="value">The <see cref="ComplexD"/> object
/// to locate in the <see cref="ComplexDArrayList"/>.
/// </param>
/// <returns>The zero-based index of <paramref name="value"/> in the sorted
/// <see cref="ComplexDArrayList"/>, if <paramref name="value"/> is found;
/// otherwise, a negative number, which is the bitwise complement of the index
/// of the next element that is larger than <paramref name="value"/> or, if there
/// is no larger element, the bitwise complement of <see cref="Count"/>.</returns>
/// <exception cref="InvalidOperationException">
/// Neither <paramref name="value"/> nor the elements of the <see cref="ComplexDArrayList"/>
/// implement the <see cref="IComparable"/> interface.</exception>
/// <remarks>Please refer to <see cref="ArrayList.BinarySearch"/> for details.</remarks>
public virtual int BinarySearch(ComplexD value)
{
return Array.BinarySearch(this._array, 0, this._count, value);
}
public override void Insert(int index, ComplexD value)
{
throw new NotSupportedException(
"Read-only collections cannot be modified.");
}
/// <summary>
/// Subtracts a complex from a scalar.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the difference.</returns>
public static ComplexD operator-(double s, ComplexD a)
{
return(ComplexD.Subtract(s, a));
}
/// <summary>
/// Subtracts a scalar from a complex.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the difference.</returns>
public static ComplexD operator-(ComplexD a, double s)
{
return(ComplexD.Subtract(a, s));
}
/// <summary>
/// Subtracts a complex from a complex.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="b">A <see cref="ComplexD"/> instance.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the difference.</returns>
public static ComplexD operator-(ComplexD a, ComplexD b)
{
return(ComplexD.Subtract(a, b));
}
/// <summary>
/// Adds a complex number and a scalar.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the sum.</returns>
public static ComplexD operator+(double s, ComplexD a)
{
return(ComplexD.Add(a, s));
}
/// <summary>
/// Adds two complex numbers.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="b">A <see cref="ComplexD"/> instance.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the sum.</returns>
public static ComplexD operator+(ComplexD a, ComplexD b)
{
return(ComplexD.Add(a, b));
}
/// <summary>
/// Negates the complex number.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the negated values.</returns>
public static ComplexD operator-(ComplexD a)
{
return(ComplexD.Negate(a));
}
private void CheckUnique(int index, ComplexD value)
{
int existing = IndexOf(value);
if (existing >= 0 && existing != index)
throw new NotSupportedException(
"Unique collections cannot contain duplicate elements.");
}
/// <summary>
/// Adds a <see cref="ComplexD"/> to the end of the <see cref="ComplexDArrayList"/>.
/// </summary>
/// <param name="value">The <see cref="ComplexD"/> object
/// to be added to the end of the <see cref="ComplexDArrayList"/>.
/// </param>
/// <returns>The <see cref="ComplexDArrayList"/> index at which the
/// <paramref name="value"/> has been added.</returns>
/// <exception cref="NotSupportedException">
/// <para>The <see cref="ComplexDArrayList"/> is read-only.</para>
/// <para>-or-</para>
/// <para>The <b>ComplexDArrayList</b> has a fixed size.</para>
/// <para>-or-</para>
/// <para>The <b>ComplexDArrayList</b> already contains the specified
/// <paramref name="value"/>, and the <b>ComplexDArrayList</b>
/// ensures that all elements are unique.</para></exception>
/// <remarks>Please refer to <see cref="ArrayList.Add"/> for details.</remarks>
public virtual int Add(ComplexD value)
{
if (this._count == this._array.Length)
EnsureCapacity(this._count + 1);
++this._version;
this._array[this._count] = value;
return this._count++;
}
public override int Add(ComplexD value)
{
lock (this._root) return this._collection.Add(value);
}
/// <summary>
/// Multiplies two complex numbers.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="b">A <see cref="ComplexD"/> instance.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the result.</returns>
public static ComplexD operator*(ComplexD a, ComplexD b)
{
return(ComplexD.Multiply(a, b));
}
public override void CopyTo(ComplexD[] array)
{
lock (this._root) this._collection.CopyTo(array);
}
public override void Remove(ComplexD value)
{
throw new NotSupportedException(
"Read-only collections cannot be modified.");
}
/// <summary>
/// Multiplies a complex by a scalar.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the result.</returns>
public static ComplexD operator*(ComplexD a, double s)
{
return(ComplexD.Multiply(a, s));
}
public override void AddRange(ComplexD[] array)
{
lock (this._root) this._collection.AddRange(array);
}
/// <summary>
/// Divides a complex by a complex.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="b">A <see cref="ComplexD"/> instance.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the result.</returns>
public static ComplexD operator/(ComplexD a, ComplexD b)
{
return(ComplexD.Divide(a, b));
}
public override void Insert(int index, ComplexD value)
{
lock (this._root) this._collection.Insert(index, value);
}
/// <summary>
/// Divides a complex by a scalar.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the result.</returns>
public static ComplexD operator/(ComplexD a, double s)
{
return(ComplexD.Divide(a, s));
}
public override int Add(ComplexD value)
{
CheckUnique(value);
return this._collection.Add(value);
}
/// <summary>
/// Divides a scalar by a complex.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="ComplexD"/> instance containing the result.</returns>
public static ComplexD operator/(double s, ComplexD a)
{
return(ComplexD.Divide(s, a));
}
public override int BinarySearch(ComplexD value)
{
return this._collection.BinarySearch(value);
}
/// <overloads>
/// Copies the <see cref="ComplexDArrayList"/> or a portion of it to a one-dimensional array.
/// </overloads>
/// <summary>
/// Copies the entire <see cref="ComplexDArrayList"/> to a one-dimensional <see cref="Array"/>
/// of <see cref="ComplexD"/> elements, starting at the beginning of the target array.
/// </summary>
/// <param name="array">The one-dimensional <see cref="Array"/> that is the destination of the
/// <see cref="ComplexD"/> elements copied from the <see cref="ComplexDArrayList"/>.
/// The <b>Array</b> must have zero-based indexing.</param>
/// <exception cref="ArgumentNullException">
/// <paramref name="array"/> is a null reference.</exception>
/// <exception cref="ArgumentException">
/// The number of elements in the source <see cref="ComplexDArrayList"/> is greater
/// than the available space in the destination <paramref name="array"/>.</exception>
/// <remarks>Please refer to <see cref="ArrayList.CopyTo"/> for details.</remarks>
public virtual void CopyTo(ComplexD[] array)
{
CheckTargetArray(array, 0);
Array.Copy(this._array, array, this._count);
}
public override void CopyTo(ComplexD[] array, int arrayIndex)
{
this._collection.CopyTo(array, arrayIndex);
}
/// <summary>
/// Returns the zero-based index of the first occurrence of the specified
/// <see cref="ComplexD"/> in the <see cref="ComplexDArrayList"/>.
/// </summary>
/// <param name="value">The <see cref="ComplexD"/> object
/// to locate in the <see cref="ComplexDArrayList"/>.
/// </param>
/// <returns>
/// The zero-based index of the first occurrence of <paramref name="value"/>
/// in the <see cref="ComplexDArrayList"/>, if found; otherwise, -1.
/// </returns>
/// <remarks>Please refer to <see cref="ArrayList.IndexOf"/> for details.</remarks>
public virtual int IndexOf(ComplexD value)
{
return Array.IndexOf(this._array, value, 0, this._count);
}
public override void Insert(int index, ComplexD value)
{
CheckUnique(value);
this._collection.Insert(index, value);
}
/// <summary>
/// Inserts a <see cref="ComplexD"/> element into the
/// <see cref="ComplexDArrayList"/> at the specified index.
/// </summary>
/// <param name="index">The zero-based index at which <paramref name="value"/>
/// should be inserted.</param>
/// <param name="value">The <see cref="ComplexD"/> object
/// to insert into the <see cref="ComplexDArrayList"/>.
/// </param>
/// <exception cref="ArgumentOutOfRangeException">
/// <para><paramref name="index"/> is less than zero.</para>
/// <para>-or-</para>
/// <para><paramref name="index"/> is greater than <see cref="Count"/>.</para>
/// </exception>
/// <exception cref="NotSupportedException">
/// <para>The <see cref="ComplexDArrayList"/> is read-only.</para>
/// <para>-or-</para>
/// <para>The <b>ComplexDArrayList</b> has a fixed size.</para>
/// <para>-or-</para>
/// <para>The <b>ComplexDArrayList</b> already contains the specified
/// <paramref name="value"/>, and the <b>ComplexDArrayList</b>
/// ensures that all elements are unique.</para></exception>
/// <remarks>Please refer to <see cref="ArrayList.Insert"/> for details.</remarks>
public virtual void Insert(int index, ComplexD value)
{
if (index < 0)
throw new ArgumentOutOfRangeException("index",
index, "Argument cannot be negative.");
if (index > this._count)
throw new ArgumentOutOfRangeException("index",
index, "Argument cannot exceed Count.");
if (this._count == this._array.Length)
EnsureCapacity(this._count + 1);
++this._version;
if (index < this._count)
Array.Copy(this._array, index,
this._array, index + 1, this._count - index);
this._array[index] = value;
++this._count;
}
private void CheckUnique(ComplexD value)
{
if (IndexOf(value) >= 0)
throw new NotSupportedException(
"Unique collections cannot contain duplicate elements.");
}
/// <summary>
/// Removes the first occurrence of the specified <see cref="ComplexD"/>
/// from the <see cref="ComplexDArrayList"/>.
/// </summary>
/// <param name="value">The <see cref="ComplexD"/> object
/// to remove from the <see cref="ComplexDArrayList"/>.
/// </param>
/// <exception cref="NotSupportedException">
/// <para>The <see cref="ComplexDArrayList"/> is read-only.</para>
/// <para>-or-</para>
/// <para>The <b>ComplexDArrayList</b> has a fixed size.</para></exception>
/// <remarks>Please refer to <see cref="ArrayList.Remove"/> for details.</remarks>
public virtual void Remove(ComplexD value)
{
int index = IndexOf(value);
if (index >= 0) RemoveAt(index);
}
/// <summary>
/// Initializes a new instance of the <see cref="ComplexDArrayList"/> class
/// that contains elements copied from the specified <see cref="ComplexD"/>
/// array and that has the same initial capacity as the number of elements copied.
/// </summary>
/// <param name="array">An <see cref="Array"/> of <see cref="ComplexD"/>
/// elements that are copied to the new collection.</param>
/// <exception cref="ArgumentNullException">
/// <paramref name="array"/> is a null reference.</exception>
/// <remarks>Please refer to <see cref="ArrayList(ICollection)"/> for details.</remarks>
public ComplexDArrayList(ComplexD[] array)
{
if (array == null)
throw new ArgumentNullException("array");
this._array = new ComplexD[array.Length];
AddRange(array);
}
/// <summary>
/// Copies the elements of the <see cref="ComplexDArrayList"/> to a new
/// <see cref="Array"/> of <see cref="ComplexD"/> elements.
/// </summary>
/// <returns>A one-dimensional <see cref="Array"/> of <see cref="ComplexD"/>
/// elements containing copies of the elements of the <see cref="ComplexDArrayList"/>.</returns>
/// <remarks>Please refer to <see cref="ArrayList.ToArray"/> for details.</remarks>
public virtual ComplexD[] ToArray()
{
ComplexD[] array = new ComplexD[this._count];
Array.Copy(this._array, array, this._count);
return array;
}
/// <summary>
/// Adds the elements of a <see cref="ComplexD"/> array
/// to the end of the <see cref="ComplexDArrayList"/>.
/// </summary>
/// <param name="array">An <see cref="Array"/> of <see cref="ComplexD"/> elements
/// that should be added to the end of the <see cref="ComplexDArrayList"/>.</param>
/// <exception cref="ArgumentNullException">
/// <paramref name="array"/> is a null reference.</exception>
/// <exception cref="NotSupportedException">
/// <para>The <see cref="ComplexDArrayList"/> is read-only.</para>
/// <para>-or-</para>
/// <para>The <b>ComplexDArrayList</b> has a fixed size.</para>
/// <para>-or-</para>
/// <para>The <b>ComplexDArrayList</b> already contains one or more elements
/// in the specified <paramref name="array"/>, and the <b>ComplexDArrayList</b>
/// ensures that all elements are unique.</para></exception>
/// <remarks>Please refer to <see cref="ArrayList.AddRange"/> for details.</remarks>
public virtual void AddRange(ComplexD[] array)
{
if (array == null)
throw new ArgumentNullException("array");
if (array.Length == 0) return;
if (this._count + array.Length > this._array.Length)
EnsureCapacity(this._count + array.Length);
++this._version;
Array.Copy(array, 0, this._array, this._count, array.Length);
this._count += array.Length;
}
public override void AddRange(ComplexD[] array)
{
throw new NotSupportedException(
"Read-only collections cannot be modified.");
}
/// <summary>
/// Determines whether the <see cref="ComplexDArrayList"/>
/// contains the specified <see cref="ComplexD"/> element.
/// </summary>
/// <param name="value">The <see cref="ComplexD"/> object
/// to locate in the <see cref="ComplexDArrayList"/>.
/// </param>
/// <returns><c>true</c> if <paramref name="value"/> is found in the
/// <see cref="ComplexDArrayList"/>; otherwise, <c>false</c>.</returns>
/// <remarks>Please refer to <see cref="ArrayList.Contains"/> for details.</remarks>
public bool Contains(ComplexD value)
{
return (IndexOf(value) >= 0);
}
/// <summary>
/// Tests whether two complex numbers are approximately equal using default tolerance value.
/// </summary>
/// <param name="a">A <see cref="ComplexD"/> instance.</param>
/// <param name="b">A <see cref="ComplexD"/> instance.</param>
/// <returns><see langword="true"/> if the two vectors are approximately equal; otherwise, <see langword="false"/>.</returns>
public static bool ApproxEqual(ComplexD a, ComplexD b)
{
return(ApproxEqual(a, b, MathFunctions.EpsilonD));
}
/// <summary>
/// Copies the entire <see cref="ComplexDArrayList"/> to a one-dimensional <see cref="Array"/>
/// of <see cref="ComplexD"/> elements, starting at the specified index of the target array.
/// </summary>
/// <param name="array">The one-dimensional <see cref="Array"/> that is the destination of the
/// <see cref="ComplexD"/> elements copied from the <see cref="ComplexDArrayList"/>.
/// The <b>Array</b> must have zero-based indexing.</param>
/// <param name="arrayIndex">The zero-based index in <paramref name="array"/>
/// at which copying begins.</param>
/// <exception cref="ArgumentNullException">
/// <paramref name="array"/> is a null reference.</exception>
/// <exception cref="ArgumentOutOfRangeException">
/// <paramref name="arrayIndex"/> is less than zero.</exception>
/// <exception cref="ArgumentException"><para>
/// <paramref name="arrayIndex"/> is equal to or greater than the length of <paramref name="array"/>.
/// </para><para>-or-</para><para>
/// The number of elements in the source <see cref="ComplexDArrayList"/> is greater than the
/// available space from <paramref name="arrayIndex"/> to the end of the destination
/// <paramref name="array"/>.</para></exception>
/// <remarks>Please refer to <see cref="ArrayList.CopyTo"/> for details.</remarks>
public virtual void CopyTo(ComplexD[] array, int arrayIndex)
{
CheckTargetArray(array, arrayIndex);
Array.Copy(this._array, 0, array, arrayIndex, this._count);
}
/// <summary>
/// Initializes a new instance of the <see cref="ComplexD"/> class using values from a given complex instance.
/// </summary>
/// <param name="c">A complex number to get values from.</param>
public ComplexD(ComplexD c)
{
_real = c.Real;
_image = c.Imaginary;
}