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Math-BigNum-0.11
River stage zero No dependents

Changes for version 0.11 - 2016-04-10

  • Added the `$n->parts` method, which returns the numerator and the denominator as BigNum objects.
  • Increased the default accuracy value for the method `is_prime` from 12 to 20.
  • Support for rational exponentiation with an integer power.
    • Example: (3/5)**3 == 27/125
  • Added the `$x->li` method for computing the logarithm integral of `$x`.
  • Optimized the `$k->root($n)` method for positive integer values of `$n`.
  • Added the `$n->bernreal` method, which returns the nth-Bernoulli number as a floating-point value.
  • Added the `$n->kronecker($k)` method, which returns the Kronecker symbol (n|k).
  • Added the following exportable functions:
    • factorial(n) # product of first n integers: n! primorial(n) # product of primes <= n binomial(n,k) # binomial coefficient fibonacci(n) # nth-Fibonacci number lucas(n) # nth-Lucas number ipow(a,k) # integer exponentiation: int(a^k)
  • Added the method `$n->popcount`, which returns the number of 1s in the binary representation of `$n`.
  • Changed the return values of the `sign` method from ("-", "", "+") to (-1, 0, 1).
  • Added the `:all` option to export anything that is exportable (functions + constants).
  • Added the `$n->valuation($k)` method, which returns the number of times `$n` is divisible by `$k`.
  • Extended the method `float` to accept an optional argument with the number of bits of precision.
  • Added the `$x->bfloat` method, which truncates `$x` in-place to a floating-point value.
  • Added the method `$n->is_pow($k)`, which returns true iff `a^k = n` for some positive integer `a`.
  • Added the method `$x->lgrt`, which returns the logarithmic-root of `$x`.
    • 100->lgrt # solves for x in `x**x = 100` and returns: `3.59728...`
    • 3125->lgrt # returns `5` because `log(3125)/log(5) == 3125->root(5)`
  • Added the following floating-point functions:
    • (b)fadd (b)fsub (b)fmul (b)fdiv (b)fmod (b)fpow
  • Increased the default precision of floating-point numbers from 128 to 256 bits.
  • Some minor bug-fixes and documentation improvements.

Modules

Math::BigNum
Arbitrary size precision for integers, rationals and floating-point numbers.
Math::BigNum::Inf
Represents the +/-Infinity value.
Math::BigNum::Nan
Represents the Not-a-Number value.

Examples

Other files