| | Name | Description |
|---|
  | Abs |
The absolute value (modulus) of complex number.
|
| Abs2 |
The squared modulus (length^2) of the complex number
|
| Absolute(Complex) | Return the absolute value of a complex type calculated as the euclidean norm |
| Absolute(Complex32) | Return the absolute value of a complex type calculated as the euclidean norm |
| Acos(Complex) |
This function returns the complex arccosine of the complex number a,
arccos(a). The branch cuts are on the real axis, less than -1
and greater than 1.
|
| Acos(Complex32) |
This function returns the complex arccosine of the complex number a,
arccos(a). The branch cuts are on the real axis, less than -1
and greater than 1.
|
| Acos(Double) |
This function returns the complex arccosine of the real number a, arccos(a).
|
| Acosh(Complex) |
This function returns the complex hyperbolic arccosine of the complex
number a, arccosh(a). The branch cut is on the real axis,
less than 1.
|
| Acosh(Complex32) |
This function returns the complex hyperbolic arccosine of the complex
number a, arccosh(a). The branch cut is on the real axis,
less than 1.
|
| Acosh(Double) |
This function returns the complex hyperbolic arccosine of
the real number a, arccosh(a).
|
| Acot |
This function returns the complex arccotangent of the complex number a,
arccot(a) = arctan(1/a).
|
| Acoth |
This function returns the complex hyperbolic arccotangent of the complex
number a, arccoth(a) = arctanh(1/a).
|
| Acsc(Complex) |
This function returns the complex arccosecant of the complex number a,
arccsc(a) = arcsin(1/a).
|
| Acsc(Double) |
This function returns the complex arccosecant of the real number a,
arccsc(a) = arcsin(1/a).
|
| Acsch |
This function returns the complex hyperbolic arccosecant of the complex
number a, arccsch(a) = arcsin(1/a).
|
| Arg(Complex) |
The argument value (also called phase) of a complex number.
|
| Arg(Complex32) |
The argument value (also called phase) of a complex number.
|
| Argument(Complex) | Calculate the complex argument of a complex type. Also commonly refered to as the phase. |
| Argument(Complex32) | Calculate the complex argument of a complex type. Also commonly refered to as the phase. |
| Argument2(Complex) | Calculate the 2-argument of a complex type. |
| Argument2(Complex32) | Calculate the 2-argument of a complex type. |
| Asec(Complex) |
This function returns the complex arcsecant of the complex number a,
arcsec(a) = arccos(1/a).
|
| Asec(Double) |
This function returns the complex arcsecant of the real number a,
arcsec(a) = arccos(1/a).
|
| Asech |
This function returns the complex hyperbolic arcsecant of the complex
number a, arcsech(a) = arccosh(1/a).
|
| Asin(Complex) |
This function returns the complex arcsine of the complex number a,
arcsin(a)}. The branch cuts are on the real axis, less than -1
and greater than 1.
|
| Asin(Complex32) |
This function returns the complex arcsine of the complex number a,
arcsin(a)}. The branch cuts are on the real axis, less than -1
and greater than 1.
|
| Asin(Double) |
This function returns the complex arcsine of the real number a,
arcsin(a).
|
| Asinh(Complex) |
This function returns the complex hyperbolic arcsine of the
complex number a, arcsinh(a). The branch cuts are on the
imaginary axis, below -i and above i.
|
| Asinh(Complex32) |
This function returns the complex hyperbolic arcsine of the
complex number a, arcsinh(a). The branch cuts are on the
imaginary axis, below -i and above i.
|
| Atan(Complex) |
This function returns the complex arctangent of the complex number
a, arctan(a)}. The branch cuts are on the imaginary axis,
below -i and above i .
|
| Atan(Complex32) |
This function returns the complex arctangent of the complex number
a, arctan(a)}. The branch cuts are on the imaginary axis,
below -i and above i .
|
| Atanh(Complex) |
This function returns the complex hyperbolic arctangent of the complex
number a, arctanh(a). The branch cuts are on the real
axis, less than -1 and greater than 1.
|
| Atanh(Complex32) |
This function returns the complex hyperbolic arctangent of the complex
number a, arctanh(a). The branch cuts are on the real
axis, less than -1 and greater than 1.
|
| Atanh(Double) |
This function returns the complex hyperbolic arctangent of the real
number a, arctanh(a).
|
| Conjugate(Complex) | Return the complex conjugate of a complex type |
| Conjugate(Complex32) | Return the complex conjugate of a complex type |
| Cos(Complex) |
Returns the cosine of the specified complex function argument z.
|
| Cos(Complex32) |
Returns the cosine of the specified complex function argument z.
|
| Cosh(Complex) |
This function returns the complex hyperbolic cosine of the complex number
a, cosh(a) = (exp(a) + exp(-z))/2.
|
| Cosh(Complex32) |
This function returns the complex hyperbolic cosine of the complex number
a, cosh(a) = (exp(a) + exp(-z))/2.
|
| Cot |
Returns the complex cotangent of the complex number z, i.e. 1/Sin(z).
|
| Coth |
This function returns the complex hyperbolic cotangent of the complex
number a, coth(a) = 1/tanh(a)}.
|
| Csc |
Returns the complex cosecant of the complex number z, i.e. 1/Sin(z).
|
| Csch |
This function returns the complex hyperbolic cosecant of the complex
number a, csch(a) = 1/sinh(a)}.
|
| Exp(Complex) |
Returns the exponential function of the complex function argument.
|
| Exp(Complex32) |
Returns the exponential function of the complex function argument.
|
| Inverse |
Returns the inverse of the argument z, i.e. 1/z
|
| Log(Complex) |
Returns the natural (base e) logarithm of the complex function argument.
|
| Log(Complex32) |
Returns the natural (base e) logarithm of the complex function argument.
|
| Log10 |
Returns the base 10 logarithm of the complex function argument.
|
| LogAbs |
Return log |z|.
|
| Max(Complex, Complex) | Given two complex types return the one with the maximum norm |
| Max(Complex32, Complex32) | Given two complex types return the one with the maximum norm |
| MultiplyImaginaryNumber |
This function returns the product of the complex number a and the
imaginary number iy, z=a*(iy).
|
| MultiplyRealNumber |
This function returns the product of the complex number a and the
real number x, z=ax.
|
| Norm(Complex) | Return the euclidean norm of a complex type |
| Norm(Complex32) | Return the euclidean norm of a complex type |
| Polar(Complex) | Return the polar representation of a complex type |
| Polar(Complex32) | Return the polar representation of a complex type |
| Polar(Double, Double) |
Create a complex number from a modulus (length) and an argument (radian)
|
| Pow(Complex, Double) |
Calculate the power of a complex number.
|
| Pow(Complex, Int32) |
Calculates x^n by repeated multiplications. The algorithm takes ld(n) multiplications.
This algorithm can also be used with negative n.
|
| Pow(Complex, Complex) |
Returns a specified (complex valued) number raised to the specified (complex valued) power.
|
| Pow(Complex32, Double) |
Calculate the power of a complex number
|
| Pow(Double, Complex) |
Returns a specified (real valued) number raised to the specified (complex valued) power.
|
| Pow2 |
Returns the square of the complex number.
|
| Pow3 |
Returns the 3rd power of the complex number.
|
 | Pow4 | |
| Pow5 | |
| Pow6 | |
| Pow7 | |
| Pow8 | |
| Pow9 | |
| Sec |
Returns the complex secant of the argument z, i.e. 1/Cos(z)
|
| Sech |
This function returns the complex hyperbolic secant of the complex
number a, sech(a) = 1/cosh(a).
|
| Sin(Complex) |
Returns the sine of the specified complex function argument z.
|
| Sin(Complex32) |
Returns the sine of the specified complex function argument z.
|
| Sinh(Complex) |
This function returns the complex hyperbolic sine of the complex number
a, sinh(a) = (exp(a) - exp(-a))/2.
|
| Sinh(Complex32) |
This function returns the complex hyperbolic sine of the complex number
a, sinh(a) = (exp(a) - exp(-a))/2.
|
| Sqrt(Complex) |
Calculate the square root of the complex number c.
|
| Sqrt(Complex32) |
Calculate the square root of the complex number c.
|
| Sqrt(Double) |
Calculate the square root of the real number x.
|
| Swap(Complex, Complex) |
Swap two complex numbers
|
| Swap(Complex32, Complex32) |
Swap two complex numbers
|
| Tan(Complex) |
Returns the tangent of the specified complex function argument z.
|
| Tan(Complex32) |
Returns the tangent of the specified complex function argument z.
|
| Tanh(Complex) |
This function returns the complex hyperbolic tangent of the complex number
a, tanh(a) = sinh(a)/cosh(a).
|
| Tanh(Complex32) |
This function returns the complex hyperbolic tangent of the complex number
a, tanh(a) = sinh(a)/cosh(a).
|
Methods