Math::Symbolic::AuxFunctions3pm
Auxiliary functions for math::symbolic hierarchy
Usage
use Math::Symbolic::AuxFunctions;Math::Symbolic::AuxFunctions::acos($x);# etc
Overview
This module contains implementations of some auxiliary functions that are used within the Math::Symbolic hierarchy of modules. In particular, this module holds all trigonometric functions used for numeric evaluation of trees by Math::Symbolic::Operator.
Export
None. On purpose. If I wished this module would pollute others' namespaces, I'd have put the functions right where they're used.
Trigonometric functions
tan
Computes the tangent sin(x) / cos(x).
cot
Computes the cotangent cos(x) / sin(x).
asin
Computes the arc sine asin(z) = -i log(iz + sqrt(1-z*z)). Above formula is for complex numbers.
acos
Computes the arc cosine acos(z) = -i log(z + sqrt(z*z-1)). Above formula is for complex numbers.
atan
Computes the arc tangent atan(z) = i/2 log((i+z) / (i-z)). Above formula is for complex numbers.
acot
Computes the arc cotangent ( atan( 1 / x ) ).
asinh
Computes the arc hyperbolic sine asinh(z) = log(z + sqrt(z*z+1))
acosh
Computes the arc hyperbolic cosine acosh(z) = log(z + sqrt(z*z-1)).
Other functions
binomial_coeff
Calculates the binomial coefficient n over k of its first two arguments (n, k).
Code taken from Orwant et al, "Mastering Algorithms with Perl"
bell_number
The Bell numbers are defined as follows:
B_0 = 1B_n+1 = sum_k=0_to_n( B_k * binomial_coeff(n, k) )
This function uses memoization.
Releases
7 releases since Debian 7 (Wheezy); the text changed 5 times.