object Real extends Serializable
The Real companion object defines the origin (zero), one half and one
as well as some utility functions.
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- val E: Real
Euler's number 'e' with 106 bits of precision
- val EPSILON: Double
Approximate machine epsilon for Double-Double
- val NaN: Real
Represents Not a Number
- val Pi: Real
'pi' with 106 bits of precision
- val _0: Real
Zero (0) as a Real number
- val _1: Real
One (1) as a Real number
- val _10: Real
Ten (10) as a Real number
- val _1by2: Real
One Half (0.5) as a Real number
- val _1n: Real
Negative One (-1) as a Real number
- val _2: Real
Two (2) as a Real number
- val _2Pi: Real
'2 pi' with 106 bits of precision
- val _512: Real
2^9 as a real number
- val _700: Real
700 as a real number
- def abs(x: Real): Real
Return the absolute value of real number 'x'.
Return the absolute value of real number 'x'.
- x
the real number whose absolute value is sought
- def apply(xs: String): Real
Create a real number from its primary string representation "dd.ddd".
Create a real number from its primary string representation "dd.ddd". Example: "0.693147180559945309417232121458"
- xs
the string form of a real number
- def apply(xt: (Double, Double)): Real
Create a real number from a pair of Doubles.
Create a real number from a pair of Doubles.
- xt
the tuple form of a real number
- final def asInstanceOf[T0]: T0
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- implicit def double2Real(d: Double): Real
Implicit conversion from 'Double' to 'Real'.
Implicit conversion from 'Double' to 'Real'.
- d
the Double parameter to convert
- final def eq(arg0: AnyRef): Boolean
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- def exp(x: Real = _1): Real
Return 'e' raised to the 'x'-th power 'e^x'. 'x' is rescaled to improve convergence. Rescaling causes slight reduction in precision. e = 2.718281828459045235360287471345 from scalation.math.Real.exp E = 2.718281828459045235360287471352 given constant
Return 'e' raised to the 'x'-th power 'e^x'. 'x' is rescaled to improve convergence. Rescaling causes slight reduction in precision. e = 2.718281828459045235360287471345 from scalation.math.Real.exp E = 2.718281828459045235360287471352 given constant
- x
the real number exponent
- See also
http://mathworld.wolfram.com/e.html
bt.pa.msu.edu/pub/papers/HICOSYMSU08/HICOSYMSU08.pdf FIX: use a faster and more precise algorithm
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- def log(x: Real): Real
Return the natural log (log base 'e') of real number 'x'.
Return the natural log (log base 'e') of real number 'x'.
- x
the real number whose log is sought
- See also
bt.pa.msu.edu/pub/papers/HICOSYMSU08/HICOSYMSU08.pdf
- val log_2: Real
Natural log of 2 as a real number
- def magnitude(x: Double): Int
Determine the decimal magnitude of 'x', i.e., the largest integer 'k' such that '10^k <= x'.
Determine the decimal magnitude of 'x', i.e., the largest integer 'k' such that '10^k <= x'.
- x
the number to find the magnitude of
- def max(x: Real, y: Real): Real
Return the maximum of two real numbers 'x' and 'y'.
Return the maximum of two real numbers 'x' and 'y'.
- x
the first real number to compare
- y
the second real number to compare
- def min(x: Real, y: Real): Real
Return the minimum of two real numbers 'x' and 'y'.
Return the minimum of two real numbers 'x' and 'y'.
- x
the first real number to compare
- y
the second real number to compare
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- implicit val num: Real
Implicit numeric value for establishing type
- implicit val ord: Ordering[Real]
Ordering for real numbers
- def signum(r: Real): Real
Return the signum (sgn) of a real number.
Return the signum (sgn) of a real number. The values may be -1, 0, or 1.
- r
the real number to obtain the sigum of
- def sin(x: Real): Real
Return the sin of real number 'x'.
Return the sin of real number 'x'.
- x
the real number whose sin is sought
- def sqrt(x: Real): Real
Return the square root of real number 'x'.
Return the square root of real number 'x'.
- x
the real number whose square root is sought
- final def synchronized[T0](arg0: => T0): T0
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