std/math

Standard Library source code

Mathematical constants and functions.

Module

Name
std/math
Area
Standard Library
Source
modules/std/math.zzm
=encoding utf8

=head1 NAME

std/math - Mathematical constants and functions.

=head1 SYNOPSIS

  from std/math import Math, π;

  let r := 3;
  let a := π * Math.pow(r, 2);
  let s := Math.sin(Math.deg2rad(90));

=head1 IMPLEMENTATION SUPPORT

This module is supported by all implementations of ZuzuScript.

=head1 DESCRIPTION

This module exports the C<Math> class with static math helpers and
also exports the constant C<π>.

=head1 EXPORTS

=head2 Constants

=over

=item C<π>

Type: C<Number>. The value of pi.

=back

=head2 Classes

=over

=item C<Math>

Runtime-supported static math helper class.

=over

=item C<< Math.pi() >>

Parameters: none. Returns: C<Number>. Returns the value of pi.

=item C<< Math.rand(Number max?) >>

Parameters: C<max> is an optional exclusive upper bound. Returns:
C<Number>. Returns a pseudo-random number, scaled by C<max> when
provided.

=item C<< Math.exp(Number x) >>, C<< Math.log(Number x) >>, C<< Math.log10(Number x) >>

Parameters: C<x> is a number. Returns: C<Number>. Returns the
exponential, natural logarithm, or base-10 logarithm of C<x>.

=item C<< Math.pow(Number base, Number exponent) >>

Parameters: C<base> and C<exponent> are numbers. Returns: C<Number>.
Raises C<base> to C<exponent>.

=item C<< Math.min(...values) >>, C<< Math.max(...values) >>, C<< Math.sum(...values) >>

Parameters: C<values> are numbers or numeric collections. Returns:
C<Number>. Returns the minimum, maximum, or sum of the supplied values.

=item C<< Math.clamp(Number value, Number min, Number max) >>

Parameters: C<value>, C<min>, and C<max> are numbers. Returns:
C<Number>. Restricts C<value> to the inclusive range C<min> to C<max>.

=item C<< Math.hypot(...values) >>

Parameters: C<values> are numeric components. Returns: C<Number>.
Returns the Euclidean norm of the supplied components.

=item C<< Math.deg2rad(Number degrees) >>, C<< Math.rad2deg(Number radians) >>

Parameters: the argument is an angle. Returns: C<Number>. Converts
between degrees and radians.

=item C<< Math.sin(Number x) >>, C<< Math.cos(Number x) >>, C<< Math.tan(Number x) >>

Parameters: C<x> is an angle in radians. Returns: C<Number>. Returns the
standard trigonometric function result.

=item C<< Math.cosec(Number x) >>, C<< Math.sec(Number x) >>, C<< Math.cotan(Number x) >>

Parameters: C<x> is an angle in radians. Returns: C<Number>. Returns the
reciprocal trigonometric function result.

=item C<< Math.asin(Number x) >>, C<< Math.acos(Number x) >>, C<< Math.atan(Number x) >>

Parameters: C<x> is a number. Returns: C<Number>. Returns the inverse
trigonometric function result in radians.

=item C<< Math.atan2(Number y, Number x) >>

Parameters: C<y> and C<x> are coordinates. Returns: C<Number>. Returns
the quadrant-aware arctangent in radians.

=item C<< Math.acosec(Number x) >>, C<< Math.asec(Number x) >>, C<< Math.acotan(Number x) >>

Parameters: C<x> is a number. Returns: C<Number>. Returns the inverse
reciprocal trigonometric function result in radians.

=item C<< Math.sinh(Number x) >>, C<< Math.cosh(Number x) >>, C<< Math.tanh(Number x) >>

Parameters: C<x> is a number. Returns: C<Number>. Returns the standard
hyperbolic function result.

=item C<< Math.cosech(Number x) >>, C<< Math.sech(Number x) >>, C<< Math.cotanh(Number x) >>

Parameters: C<x> is a number. Returns: C<Number>. Returns the reciprocal
hyperbolic function result.

=item C<< Math.asinh(Number x) >>, C<< Math.acosh(Number x) >>, C<< Math.atanh(Number x) >>

Parameters: C<x> is a number. Returns: C<Number>. Returns the inverse
hyperbolic function result.

=item C<< Math.acosech(Number x) >>, C<< Math.asech(Number x) >>, C<< Math.acotanh(Number x) >>

Parameters: C<x> is a number. Returns: C<Number>. Returns the inverse
reciprocal hyperbolic function result.

=back

=back

=head1 COPYRIGHT AND LICENCE

B<< std/math >> is copyright Toby Inkster.

It is free software; you may redistribute it and/or modify it under
the terms of either the Artistic License 1.0 or the GNU General Public
License version 2.