NAME
Math::Shape::Vector - A 2d vector library in cartesian space
VERSION
version 0.15
SYNOPSIS
use Math::Shape::Vector;
my $v1 = Math::Shape::Vector->new(3, 5);
my $v2 = Math::Shape::Vector->new(1, 17);
$v1->add_vector($v2);
$v1->negate;
$v1->multiply(5);
$v1->is_equal($v2);
DESCRIPTION
This module contains 2d vector-based objects intended as base classes for 2d games programming. Most of the objects have collision detection (among other methods). All objects are immutable in so far as their methods return new objects everytime. The objects available are:
Math::Shape::Vector - a 2d vector (this package)
Math::Shape::Line - an infinite 2d line
Math::Shape::LineSegment - a finite 2d line (with a start and end)
Math::Shape::Range - a number range (e.g 1 through 20)
Math::Shape::Circle - a 2d Circle
Math::Shape::Rectangle - a 2d axis-oriented rectangle
Math::Shape::OrientedRectangle - a 2d oriented rectangle
METHODS
new
Create a new vector. Requires two numerical arguments for the origin and magnitude.
my $vector = Math::Shape::Vector->new(3, 5);
add_vector
Adds a vector to the vector object, returning a new vector object with the resulting x & y values.
my $new_vector = $vector->add_vector($vector_2);
subtract_vector
Subtracts a vector from the vector object, returning a new vector object with the resulting x & y values.
my $new_vector = $vector->subtract_vector($vector_2);
negate
Returns a new vector with negated values values e.g. (1,3) becomes (-1, -3).
my $new_vector = $vector->negate();
is_equal
Compares a vector to the vector object, returning 1 if they are the same or 0 if they are different.
$vector->is_equal($vector_2);
multiply
Returns a new vector object with the x and y values multiplied by a number.
my $new_vector = $vector->multiply(3);
divide
Returns a new vector object with the x and y values divided by a number.
my $new_vector = $vector->divide(2);
rotate
Returns a new vector with the x and y values rotated in radians.
use Math::Trig ':pi';
my $new_vector = $vector->rotate(pi);
rotate_90
Returns a new vector object with the x and y values rotated 90 degrees anti-clockwise.
my $new_vector = $vector->rotate_90;
dot_product
Returns the dot product. Requires another Math::Shape::Vector object as an argument.
length
Returns the vector length.
my $length = $vector->length;
Useful if you want to calculate the distance between two vectors:
my $vector_c = $vector_a->subtract_vector($vector_b);
my $distance_a_to_b = $vector_c->length;
convert_to_unit_vector
Returns a new vector object with a length of 1 (aka a normalized vector).
my $unit_vector = $vector->convert_to_unit_vector;
project
Maps the vector to another vector, returning a new vector object. Requires a Math::Shape::Vector object as an argument.
my $new_vector = $vector->project($vector_2);
is_parallel
Boolean method that returns 1 if the vector is parallel with another vector else returns zero. Requires a Math::Shape::Vector object as an argument.
my $v2 = Math::Shape::Vector(1, 2);
if ($v->is_parallel($v2))
{
# do something
}
enclosed_angle
Returns the enclosed angle of another vector. Requires a Math::Shape::Vector object as an argument.
my $v2 = Math::Shape::Vector(4, 2);
my $enclosed_angle = $v->enclosed_angle($v2);
radians
Returns the angle of the vector expressed in radians (0 - 2 pi).
$vector->radians;
header_vector
Returns a unit (normalized) vector representing the direction towards another vector. This header_vector can be converted into radians using the radians
method. Requires an Math::Shape::Vector object as an argument.
my $header_vector = $vector_a->header_vector($vector_b);
my $radians_a_to_b = $header_vector->radians;
collides
Boolean method that returns 1 if the vector collides with another Math::Shape::Vector library object or not or 0 if not. Requires a Math::Shape::Vectorlibrary object as an argument
my $v1 = Math::Shape::Vector(4, 2);
my $v2 = Math::Shape::Vector(4, 2);
$v1->collides($v2); # 1
my $circle = Math::Shape::Circle->new(0, 0, 3); # x, y and radius
$v1->collides($circle); # 0
distance
Returns the distance from the vector to the nearest point of another shape. Requires an Math::Shape::Vector library object as an argument. Currently only implemented for vector and circle objects. For OrientedRectangle objects, distance uses the distance to the circle hull of the OrientedRectangle (not completely accurate).
my $distance = $vector->distance($other_vector);
REPOSITORY
https://github.com/sillymoose/Math-Shape-Vector.git
THANKS
The source code for this class was inspired by the code in Thomas Schwarzl's 2d collision detection book http://www.collisiondetection2d.net.
AUTHOR
David Farrell <dfarrell@cpan.org>
COPYRIGHT AND LICENSE
This software is copyright (c) 2015 by David Farrell.
This is free software; you can redistribute it and/or modify it under the same terms as the Perl 5 programming language system itself.