Uses of Class
dev.nm.number.complex.Complex

Packages that use Complex

Package	Description
dev.nm.algebra.linear.matrix.generic.matrixtype
dev.nm.analysis.function.polynomial
dev.nm.analysis.function.polynomial.root
dev.nm.number.complex

Uses of Complex in dev.nm.algebra.linear.matrix.generic.matrixtype

Methods in dev.nm.algebra.linear.matrix.generic.matrixtype that return Complex

Modifier and Type	Method and Description
Complex	ComplexMatrix.get(int row, int col)

Methods in dev.nm.algebra.linear.matrix.generic.matrixtype with parameters of type Complex

Modifier and Type	Method and Description
ComplexMatrix	ComplexMatrix.scaled(Complex scalar)
void	ComplexMatrix.set(int row, int col, Complex value)

Constructors in dev.nm.algebra.linear.matrix.generic.matrixtype with parameters of type Complex

Constructor and Description
ComplexMatrix(Complex[][] data) Construct a Complex matrix.

Uses of Complex in dev.nm.analysis.function.polynomial

Methods in dev.nm.analysis.function.polynomial that return Complex

Modifier and Type	Method and Description
Complex	Polynomial.evaluate(Complex z) Evaluate this polynomial at x.
Complex	Polynomial.evaluate(Number x) Evaluate this polynomial at x.

Methods in dev.nm.analysis.function.polynomial with parameters of type Complex

Modifier and Type	Method and Description
Complex	Polynomial.evaluate(Complex z) Evaluate this polynomial at x.

Uses of Complex in dev.nm.analysis.function.polynomial.root

Methods in dev.nm.analysis.function.polynomial.root that return types with arguments of type Complex

Modifier and Type	Method and Description
static List<Complex>	PolyRoot.getComplexRoots(List<? extends Number> roots) Get a copy of only the Complex but not real roots of a polynomial.

Uses of Complex in dev.nm.number.complex

Fields in dev.nm.number.complex declared as Complex

Modifier and Type	Field and Description
static Complex	Complex.I a number representing 0.0 + 1.0i, the square root of -1
static Complex	Complex.NaN a number representing the complex Not-a-Number (NaN)
static Complex	Complex.NEGATIVE_INFINITY a number representing -∞ + -∞i
static Complex	Complex.ONE a number representing 1.0 + 0.0i
static Complex	Complex.POSITIVE_INFINITY a number representing +∞ + ∞i
static Complex	Complex.ZERO a number representing 0.0 + 0.0i

Methods in dev.nm.number.complex that return Complex

Modifier and Type	Method and Description
static Complex	ElementaryFunction.acos(Complex z) Inverse of cosine. \[ \arccos(z) = pi / 2 + i \ln(iz + \sqrt{1 - z^{2}}) = pi / 2 - \arcsin(z) \]
Complex	Complex.add(Complex that)
static Complex	ElementaryFunction.asin(Complex z) Inverse of sine. \[ \arcsin(z) = -i \ln(iz + \sqrt{1 - z^{2}}) \]
static Complex	ElementaryFunction.atan(Complex z) Inverse of tangent. \[ \arctan(z) = i \cdot ( \ln ( 1 - iz ) - \ln ( 1 + iz) ) / 2 \]
Complex	Complex.conjugate() Get the conjugate of the complex number, namely, (a - bi).
static Complex	ElementaryFunction.cos(Complex z) Cosine of a complex number. \[ \cos(a + bi) = \cos(a)\cosh(b) - i \sin(a)\sinh(b) \]
static Complex	ElementaryFunction.cosh(Complex z) Hyperbolic cosine of a complex number. \[ \cosh(a + bi) = \cosh(a)\cos(b) + i \sinh(a)\sin(b) \]
Complex	Complex.divide(Complex that) Compute the quotient of this complex number divided by another complex number. \[ \frac{a + bi}{c + di} = \frac{ac + bd + (bc - ad)i}{c^2 + d^2} \] ABSTRACT We develop a simple method for scaling to avoid overflow and harmful underflow in complex division.
static Complex	ElementaryFunction.exp(Complex z) Exponential of a complex number. \[ \begin{gathered} \exp(a + bi) = \exp(a) \cdot [\cos(b) + i \sin(b)] \\ = \exp(b)\cos(b) + i \exp(a)\sin(b) \end{gathered} \]
static Complex	Complex.fromPolar(double r, double theta) Factory method to construct a complex number from the polar form: (r, θ).
Complex	Complex.inverse()
static Complex	ElementaryFunction.log(Complex z) Natural logarithm of a complex number. \[ \ln(a + bi) = \ln(r \exp(i \theta )) = \ln(r) + i \theta \]
Complex	Complex.minus(Complex that)
Complex	Complex.multiply(Complex that) Compute the product of this complex number and that complex number.
Complex	Complex.ONE() Get one - the number representing 1.0 + 0.0i.
Complex	Complex.opposite()
static Complex	ElementaryFunction.pow(Complex z1, Complex z2) z1 to the power z2. \[ (r \exp(i \theta )) ^ (a + bi) = r^a \exp(-b \theta ) (\cos(b \ln(r) + a \theta ) + i \sin(b \ln(r) + a \theta )) \]
static Complex	ElementaryFunction.sin(Complex z) Sine of a complex number. \[ \sin(a + bi) = \sin(a)\cosh(b) + i \cos(a)\sinh(b) \]
static Complex	ElementaryFunction.sinh(Complex z) Hyperbolic sine of a complex number. \[ \sinh(a + bi) = \sinh(a)\cos(b) + i \cosh(a)\sin(b) \]
static Complex	ElementaryFunction.sqrt(Complex z) Square root of a complex number.
static Complex	ElementaryFunction.tan(Complex z) Tangent of a complex number. \[ \tan(a + bi) = [\sin(2a) + i \sinh(2a)] / [\cos(2a) + \cosh(2b)] \]
static Complex	ElementaryFunction.tanh(Complex z) Hyperbolic tangent of a complex number. \[ \tanh(a + bi) = [\sinh(2a) + i \sin(2b)] / [\cosh(2a) + \cos(2b)] \]
Complex	Complex.ZERO() Get zero - the number representing 0.0 + 0.0i.

Methods in dev.nm.number.complex with parameters of type Complex

Modifier and Type	Method and Description
static Complex	ElementaryFunction.acos(Complex z) Inverse of cosine. \[ \arccos(z) = pi / 2 + i \ln(iz + \sqrt{1 - z^{2}}) = pi / 2 - \arcsin(z) \]
Complex	Complex.add(Complex that)
static Complex	ElementaryFunction.asin(Complex z) Inverse of sine. \[ \arcsin(z) = -i \ln(iz + \sqrt{1 - z^{2}}) \]
static Complex	ElementaryFunction.atan(Complex z) Inverse of tangent. \[ \arctan(z) = i \cdot ( \ln ( 1 - iz ) - \ln ( 1 + iz) ) / 2 \]
static Complex	ElementaryFunction.cos(Complex z) Cosine of a complex number. \[ \cos(a + bi) = \cos(a)\cosh(b) - i \sin(a)\sinh(b) \]
static Complex	ElementaryFunction.cosh(Complex z) Hyperbolic cosine of a complex number. \[ \cosh(a + bi) = \cosh(a)\cos(b) + i \sinh(a)\sin(b) \]
Complex	Complex.divide(Complex that) Compute the quotient of this complex number divided by another complex number. \[ \frac{a + bi}{c + di} = \frac{ac + bd + (bc - ad)i}{c^2 + d^2} \] ABSTRACT We develop a simple method for scaling to avoid overflow and harmful underflow in complex division.
static Complex	ElementaryFunction.exp(Complex z) Exponential of a complex number. \[ \begin{gathered} \exp(a + bi) = \exp(a) \cdot [\cos(b) + i \sin(b)] \\ = \exp(b)\cos(b) + i \exp(a)\sin(b) \end{gathered} \]
static boolean	Complex.isInfinite(Complex z) Check if a complex number is an infinity; i.e., either the real or the imaginary part is infinite, c.f., Double.isInfinite(), and the number is not a NaN.
static boolean	Complex.isNaN(Complex z) Check if a complex number is an NaN; i.e., either the real or the imaginary part is an NaN.
static boolean	Complex.isReal(Complex z) Check if this complex number is a real number; i.e., the imaginary part is 0.
static Complex	ElementaryFunction.log(Complex z) Natural logarithm of a complex number. \[ \ln(a + bi) = \ln(r \exp(i \theta )) = \ln(r) + i \theta \]
Complex	Complex.minus(Complex that)
Complex	Complex.multiply(Complex that) Compute the product of this complex number and that complex number.
static Complex	ElementaryFunction.pow(Complex z1, Complex z2) z1 to the power z2. \[ (r \exp(i \theta )) ^ (a + bi) = r^a \exp(-b \theta ) (\cos(b \ln(r) + a \theta ) + i \sin(b \ln(r) + a \theta )) \]
static Complex	ElementaryFunction.sin(Complex z) Sine of a complex number. \[ \sin(a + bi) = \sin(a)\cosh(b) + i \cos(a)\sinh(b) \]
static Complex	ElementaryFunction.sinh(Complex z) Hyperbolic sine of a complex number. \[ \sinh(a + bi) = \sinh(a)\cos(b) + i \cosh(a)\sin(b) \]
static Complex	ElementaryFunction.sqrt(Complex z) Square root of a complex number.
static Complex	ElementaryFunction.tan(Complex z) Tangent of a complex number. \[ \tan(a + bi) = [\sin(2a) + i \sinh(2a)] / [\cos(2a) + \cosh(2b)] \]
static Complex	ElementaryFunction.tanh(Complex z) Hyperbolic tangent of a complex number. \[ \tanh(a + bi) = [\sinh(2a) + i \sin(2b)] / [\cosh(2a) + \cos(2b)] \]