object Complex extends Serializable
The Complex companion object defines the origin (zero) and the fourth roots
of unity as well as some utility functions.
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- val _0: Complex
Zero (0) as a Complex number
- val _1: Complex
One (1) as a Complex number
- val _1n: Complex
Negative one (-1) as a Complex number
- val _i: Complex
Imaginary one (i) as a Complex number
- val _in: Complex
Negative imaginary one (-i) as a Complex number
- def abs(c: Complex): Complex
Return the absolute value of that complex number.
Return the absolute value of that complex number.
- c
that complex number
- def apply(cs: String): Complex
Create a complex number from its primary string representation "a+bi".
Create a complex number from its primary string representation "a+bi". Examples: "2.1+3.2i", "2.1", "3.2i".
- cs
the string form of a complex number
- def apply(ct: (Double, Double)): Complex
Create a complex number from a pair of 'Double's.
Create a complex number from a pair of 'Double's.
- ct
the tuple form of a complex number
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- def create(rad: Double, ang: Double): Complex
Create a complex number from the given polar coordinates.
Create a complex number from the given polar coordinates.
- rad
the radius (the length of the vector in the 're-im' plane)
- ang
the angle (the angle of the vector above the 're'-axis)
- def create(cs: String): Complex
Create a complex number from its secondary string representation "(a, b)".
Create a complex number from its secondary string representation "(a, b)". Examples: "(2.1, 3.2)", "(2.1, 0)", "(0, 3.2)".
- cs
the string form of a complex number
- implicit def double2Complex(d: Double): Complex
Implicit conversion from 'Double' to 'Complex'.
Implicit conversion from 'Double' to 'Complex'.
- d
the Double parameter to convert
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- def exp(c: Complex): Complex
Return the complex exponenential function of that complex number.
Return the complex exponenential function of that complex number.
- c
that complex number
- See also
www.math.wisc.edu/~angenent/Free-Lecture-Notes/freecomplexnumbers.pdf
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- def max(c: Complex, d: Complex): Complex
Return the maximum of two complex number, 'c' and 'd'.
Return the maximum of two complex number, 'c' and 'd'.
- c
the first complex number to compare
- d
the second complex number to compare
- def min(c: Complex, d: Complex): Complex
Return the minimum of two complex numbers, 'c' and 'd'.
Return the minimum of two complex numbers, 'c' and 'd'.
- c
the first complex number to compare
- d
the second complex number to compare
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- implicit val num: Complex
Implicit numeric value for establishing type
- implicit val ord: Ordering[Complex]
Ordering for complex numbers
- def signum(c: Complex): Complex
Return the complex signum (csgn) of a complex number.
Return the complex signum (csgn) of a complex number. The values may be -1, 0, or 1.
- c
the complex number to obtain the signum of
- See also
en.wikipedia.org/wiki/Sign_function
- def sqrt(c: Complex): Complex
Return the square root of that complex number.
Return the square root of that complex number.
- c
that complex number
- See also
www.mathpropress.com/stan/bibliography/complexSquareRoot.pdf
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