Complex class - equations library

Constructors

Complex.new(double real, double imaginary): Creates a complex number with the given real and imaginary parts.
const
Complex.fromFraction(Fraction real, Fraction imaginary): Creates a complex number from Fraction objects as parameter for the real and imaginary part.
Complex.fromImaginary(double imaginary): Creates a complex number having only the imaginary part, meaning that the real part is set to 0.
const
Complex.fromImaginaryFraction(Fraction imaginary): Creates a complex number having only the imaginary part, which is expressed as a Fraction. The real part is set to 0.
Complex.fromImaginaryMixedFraction(MixedFraction imaginary): Creates a complex number having only the imaginary part, which is expressed as a MixedFraction. The real part is set to 0.
Complex.fromMixedFraction(MixedFraction real, MixedFraction imaginary): Creates a complex number from MixedFraction objects as parameter for the real and imaginary part.
Complex.fromPolar(double r, double theta, {bool angleInRadians = true}): Creates a complex number from the given polar coordinates where r is the radius and theta is the angle.
Complex.fromReal(double real): Creates a complex number having only the real part, meaning that the imaginary part is set to 0.
const
Complex.fromRealFraction(Fraction real): Creates a complex number having only the real part, which is expressed as a Fraction. The imaginary part is set to 0.
Complex.fromRealMixedFraction(MixedFraction real): Creates a complex number having only the real part, which is expressed as a MixedFraction. The imaginary part is set to 0.
Complex.i(): This is the same as calling Complex(0, 1).
const
Complex.zero(): This is the same as calling Complex(0, 0).
const

Properties

hashCode → int: The hash code for this object.
no setteroverride
imaginary → double: The imaginary part of the complex number.
final
isZero → bool: Checks whether the complex number is zero.
no setter
negate → Complex: The sign of the current object is changed and the result is returned in a new Complex instance.
no setter
real → double: The real part of the complex number.
final
runtimeType → Type: A representation of the runtime type of the object.
no setterinherited

Methods

abs() → double: Computes the square root of (a² + b²) where a is the real part and b is the imaginary part.
compareTo(Complex other) → int: Compares this object to another object.
override
conjugate() → Complex: The sign of the imaginary part of current object is changed and the result is returned in a new Complex instance.
copyWith({double? real, double? imaginary}) → Complex: Creates a deep copy of this object with the given fields replaced with the new values.
cos() → Complex: Calculates the cosine of this complex number.
cot() → Complex: Calculates the cotangent of this complex number.
exp() → Complex: Calculates the base-e exponential of a complex number z where e is the famous Euler constant.
noSuchMethod(Invocation invocation) → dynamic: Invoked when a nonexistent method or property is accessed.
inherited
nthRoot(int nth) → Complex: Computes the complex n-th root of the complex number. The returned root is the one with the smallest positive argument.
phase() → double: Converts rectangular coordinates to polar coordinates by computing an arc tangent of y/x in the range from -pi to pi.
pow(num x) → Complex: Calculates the power having a complex number as base and a real value as exponent. The expression is in the form (a + bi)^x.
reciprocal() → Complex: Finds the multiplicative inverse (reciprocal) of the current instance and returns the result in a new Complex object.
sin() → Complex: Calculates the sine of this complex number.
sqrt() → Complex: Calculates the square root of a complex number.
tan() → Complex: Calculates the tangent of this complex number.
toPolarCoordinates() → PolarComplex: Returns an instance of PolarComplex which contains the radius r and the angle phi of the complex number.
toString() → String: A string representation of this object.
override
toStringAsFixed(int fractionDigits) → String: Prints the real and the imaginary parts of this Complex instance with fractionDigits decimal digits. The output produced by this method is the same that would result in calling toStringAsFixed on a double:
toStringAsFraction() → String: Prints the real and the imaginary parts or the complex number as fractions with the best possible approximation.
toStringWithParenthesis() → String: Prints the complex number with opening and closing parenthesis in case the complex number had both real and imaginary part.

Operators

operator *(Complex other) → Complex: Calculates the product of two complex numbers.
operator +(Complex other) → Complex: Calculates the sum between two complex numbers.
operator -(Complex other) → Complex: Calculates the difference between two complex numbers.
operator /(Complex other) → Complex: Calculates the division of two complex numbers.
operator <(Complex other) → bool: There is no natural linear ordering for complex numbers. In fact, any square in an ordered field is >= 0 but in the complex field we have that i² = -1.
operator <=(Complex other) → bool: There is no natural linear ordering for complex numbers. In fact, any square in an ordered field is >= 0 but in the complex field we have that i² = -1.
operator ==(Object other) → bool: The equality operator.
override
operator >(Complex other) → bool: There is no natural linear ordering for complex numbers. In fact, any square in an ordered field is >= 0 but in the complex field we have that i² = -1.
operator >=(Complex other) → bool: There is no natural linear ordering for complex numbers. In fact, any square in an ordered field is >= 0 but in the complex field we have that i² = -1.
operator unary-() → Complex: Returns the negation of this complex number.