The Complex companion object defines the origin (zero) and the four roots of unity as well as some utility functions.
Attributes
Members list
- Not inherited
- Mirror
Type members
Inherited and Abstract types
The names of the product elements
The names of the product elements
Attributes
- Inherited from:
- Mirror
The name of the type
The name of the type
Attributes
- Inherited from:
- Mirror
Value members
Concrete methods
Return the absolute value of that complex number.
Return the absolute value of that complex number.
Value parameters
- c
-
that complex number
Attributes
Create a complex number from a pair of 'Double's.
Create a complex number from a pair of 'Double's.
Value parameters
- ct
-
the tuple form of a complex number
Attributes
Create a complex number from its primary string representation "a+bi". Examples: "2.1+3.2i", "2.1", "3.2i".
Create a complex number from its primary string representation "a+bi". Examples: "2.1+3.2i", "2.1", "3.2i".
Value parameters
- cs
-
the string form of a complex number
Attributes
Create a complex number from its secondary string representation "(a, b)". Examples: "(2.1, 3.2)", "(2.1, 0)", "(0, 3.2)".
Create a complex number from its secondary string representation "(a, b)". Examples: "(2.1, 3.2)", "(2.1, 0)", "(0, 3.2)".
Value parameters
- cs
-
the string form of a complex number
Attributes
Create a complex number from the given polar coordinates.
Create a complex number from the given polar coordinates.
Value parameters
- ang
-
the angle (the angle of the vector above the 're'-axis)
- rad
-
the radius (the length of the vector in the 're-im' plane)
Attributes
Return the complex exponenential function of that complex number.
Return the complex exponenential function of that complex number.
Value parameters
- c
-
that complex number
Attributes
- See also
Return the maximum of two complex number, 'c' and 'd'.
Return the maximum of two complex number, 'c' and 'd'.
Value parameters
- c
-
the first complex number to compare
- d
-
the second complex number to compare
Attributes
Return the minimum of two complex numbers, 'c' and 'd'.
Return the minimum of two complex numbers, 'c' and 'd'.
Value parameters
- c
-
the first complex number to compare
- d
-
the second complex number to compare
Attributes
Return the complex signum (csgn) of a complex number. The values may be -1, 0, or 1.
Return the complex signum (csgn) of a complex number. The values may be -1, 0, or 1.
Value parameters
- c
-
the complex number to obtain the signum of
Attributes
- See also
-
en.wikipedia.org/wiki/Sign_function
Return the square root of that complex number.
Return the square root of that complex number.
Value parameters
- c
-
that complex number
Attributes
- See also
Concrete fields
Negative one (-1) as a Complex number
Negative one (-1) as a Complex number
Attributes
Imaginary one (i) as a Complex number
Imaginary one (i) as a Complex number
Attributes
Negative imaginary one (-i) as a Complex number
Negative imaginary one (-i) as a Complex number