math
The Complex class is used to represent and operate on complex numbers.
The Complex class is used to represent and operate on complex numbers.
Internally, a complex number is represented as two double precision
floating point numbers (Double). Externally, two forms are supported:
a+bi = 2.1+3.2i via: Complex ("2.1+3.2i"), toString (a, b) = (2.1, 3.2) via: create ("(2.1,=, 3.2)"), toString2
Note: 'i * i = -1'.
the real part (e.g., 2.1)
the imaginary part (e.g., 3.2)
The DoubleWithExp class defines an expontiation operator '~^' for Doubles.
The DoubleWithExp class defines an expontiation operator '~^' for Doubles.
the base
The IntWithExp class defines an expontiation operator '~^' for Ints.
The IntWithExp class defines an expontiation operator '~^' for Ints.
the base
The LongWithExp class defines an expontiation operator '~^' for Longs.
To maintain 64 bit precision, no floating point operations are used.
The LongWithExp class defines an expontiation operator '~^' for Longs.
To maintain 64 bit precision, no floating point operations are used.
the long base
The ProbNumber class is used to represent probabilistic numbers '(x, p)'
where 'x' is a real number and 'p' is its probability of occurrence.
The ProbNumber class is used to represent probabilistic numbers '(x, p)'
where 'x' is a real number and 'p' is its probability of occurrence.
FIX: Currently this class is half-baked!!!
the real number (double precision)
the probability of its occurrence [0, 1]
http://okmij.org/ftp/Computation/monads.html#random-var-monad
The Rational class is used to represent and operate on rational numbers.
The Rational class is used to represent and operate on rational numbers.
Internally, a rational number is represented as two long integers.
Externally, two forms are supported:
a/b = 2/3 via: Rational ("2/3"), toString (a, b) = (2, 3) via: create ("(2, 3)") toString2
Rational number can be created without loss of precision using the constructor, apply, create or fromBigDecimal methods. Other methods may lose precision.
the numerator (e.g., 2)
the denominator (e.g., 3)
The Basic object provides additional methods for computing logarithms and a
method for transforming Booleans into Ints.
The BasicTest object is used to test the Basic object.
The Combinatorics object provides several common combinatorics functions,
such as factorial permutations, combinations, gamma and beta functions.
The CombinatoricsTest object tests the methods in the Combinatorics object.
The CombinatoricsTest2 object tests the Gamma and factorial methods in the
Combinatorics object.
The Complex companion object defines the origin (zero) and the fourth roots
of unity as well as some utility functions.
The ComplexTest object is used to test the Complex class.
The DoubleWithExp companion object provides implicit conversion from Double
to DoubleWithExp allowing '~^' to be applied to Doubles.
It also provide a negative exponential function.
The DoubleWithExpTest object is used to test the DoubleWithExp class.
The ExtremeD object contains constants representing extreme values for
Double (IEEE 754 double precision floating point numbers).
The ExtremeD object contains constants representing extreme values for
Double (IEEE 754 double precision floating point numbers).
en.wikipedia.org/wiki/Double-precision_floating-point_format
The ExtremeDTest object is used to test the ExtremeD class.
The IntWithExp object provides implicit conversion from Int to IntWithExp
allowing '~^' to be applied to Ints.
The IntWithExpTest object is used to test the IntWithExp class.
The LongWithExp obejct provides implicit conversion from Long to LongWithExp
allowing '~^' to be applied to Longs.
The LongWithExpTest object is used to test the LongWithExp class.
The Primes object provides an array of 1000 prime numbers as well as methods
to generate prime numbers within a given range.
The PrimesTest object is use to perform timing test on the Primes object.
The ProbNumberTest object is used to test the ProbNumber class.
The Rational companion object defines the origin (zero), one and minus one
as well as some utility functions.
The RationalTest object is used to test the Rational class.
The math package contains classes, traits and objects for common mathematical operations.