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DateTime::Util::Calc - DateTime Calculation Utilities


  use DateTime::Util::Calc qw(polynomial);

  my @coeffs = qw(2 3 -2);
  my $x      = 5;
  my $rv     = polynomial($x, @coeffs);


You really should not be using this module. Math::BigInt nad friends are fine, but they are not realistic for anything more complicated... like calendars. If you need an astronomical calendar, use C (and/or provide a very thing Perl wrapper over it)

Because the author has reached the above conclusion, this module should really be considered deprecated. It will NOT be maintained regularly.


This module contains some common calculation utilities that are required to perform datetime calculations, specifically from "Calendrical Calculations" -- they are NOT meant to be general purpose.

Nothing is exported by default. You must either explicitly export them, or use as fully qualified function names.


max($a, $b)

min($a, $b)

max() returns the bigger of $a and $b. min() returns the smaller of $a and $b.

polynomial($x, @coefs)

Calculates the value of a polynomial equation, based on Horner's Rule.

   c + b * x + a * (x ** 2)     x = 5

is expressed as:

   polynomial(5, c, b, a);



moment() converts a DateTime object to moment, which is RD days + the time of day as fraction of the total seconds in a day.

dt_from_moment() converts a moment to DateTime object.


Returns a new DateTime object that is set to Rata Die, 0001-01-01 00:00:00 UTC



If the value $v is not a Math::BigFloat object, returns the value converted to Math::BigFloat. Otherwise returns the value itself.

bigint() does the same for Math::BigInt.



These have been deprecated.


Truncates the DateTime object to 12:00 noon.






Each of these functions calculates their respective values based on degrees, not radians (as Perl's version of sin() and cos() would do).


Calculates the modulus of $v over $mod. Perl's built-in modulus operator (%) for some reason rounds numbers UP when a fractional number's modulus is taken. Many of the calculations also needed the fractional part of the calculation, so this function takes care of both.


  mod(12.234, 5) = 2.234


This function is almost identical to mod(), but when the regular modulus value is 0, returns $mod instead of 0.


  amod(11, 5) = 1
  amod(10, 5) = 5
  amod(9, 5)  = 4
  amod(8, 5)  = 3

binary_search($hi, $lo, $mu, $phi)

This is a special version of binary search, where the terminating condition is determined by the result of coderefs $mu and $phi.

$mu is passed the value of $hi and $lo. If it returns true upon execution, then the search terminates.

$phi is passed the next median value. If it returns true upon execution, then the search terminates.

If the above two fails, then $hi and $lo are re-computed for the next iteration.


Performs a "linear" search until some condition is met. This is a generalized version of the formula defined in [1] p.22. The basic idea is :

  x = base
  while (! check(x) ) {
     x = next(x);
  return x

%opts can contain the following parameters:


The initial value to use to start the search process. The value can be anything, but you must provide check and next parameters that are capable of handling the type of thing you specified.

check (coderef)

Code to be executed to determine the end of the search. The function receives the current value of "x", and should return a true value if the condition to end the loop has been reached

next (coderef, optional)

Code to be executed to determine the next value of "x". The function receives the current value of "x", and should return the value to be used for the next iteration.

If unspecified, it will use a function that blindly adds 1 to whatever x is. (so if you specified a number for base, it should work -- but if you passed an object like DateTime, it will probably be an error)

So for example, to iterate through 1 through 9, you could do something like this

  my $x = search_next(
    base => 1,
    check => sub { $_[0] == 9 }

And $x will be set to 9. For a more interesting example, we could look for a DateTime object $dt matching a certain condition foo():

  my $dt = search_next(
    base  => $base_date,
    check => \&foo,
    next  => sub { $_[0] + DateTime::Duration->new(days => 1) }


Converts degrees to radians using Math::Trig, but works for Math::BigInt objects as well.


Reduces any angle to within the first revolution by sbtracting or adding even multiples of 360.0.


Reduces input to within +180..+180 degrees

angle($h, $m, $s)


Copyright (c) 2004-2015 Daisuke Maki <>