3D vector operations are quite useful and common in the math world, especially when it involves the geometry. The following is a simple class made in PHP that encapsulates most vector operations such as additions, cross product. Feel free to use the code in your project. In fact, you can easily translate into other programming language.
<?php
/*
3D Vector Mathematics Library for PHP
https://HelloACM.com
*/
public class Vector
{
private $x = 0;
private $y = 0;
private $z = 0;
// Constructor
public function Vector($x, $y, $z)
{
$this->x = $x;
$this->y = $y;
$this->z = $z;
}
// Set X
public function setX($x)
{
$this->x = $x;
}
// Set Y
public function setY($y)
{
$this->y = $y;
}
// Set Z
public function setZ($z)
{
$this->z = $z;
}
// Get X
public function X()
{
return $this->x;
}
// Get Y
public function Y()
{
return $this->y;
}
// Get Z
public function Z()
{
return $this->z;
}
// Vector Add
public function add($xx, $yy, $zz)
{
$this->x += $xx;
$this->y += $yy;
$this->z += $zz;
}
// Vector Sub
public function sub($xx, $yy, $zz)
{
$this->x -= $xx;
$this->y -= $yy;
$this->z -= $zz;
}
// Vector Negative
public function neg()
{
$this->x = -$this->x;
$this->y = -$this->y;
$this->z = -$this->z;
}
// Vector Scale
public function scale($k)
{
$this->x *= $k;
$this->y *= $k;
$this->z *= $k;
}
// Vector Dot Product
public function dot($xx, $yy, $zz)
{
return ($this->x * $xx+
$this->y * $yy+
$this->z * $zz);
}
// Vector Length^2
public function len2()
{
return ($this->x * $this->x +
$this->y * $this->y +
$this->z * $this->z);
}
// Vector Length
public function len()
{
return (sqrt($this->len2()));
}
// Normalize Vector
public function normalize()
{
$tmp = $this->len();
if (abs($tmp) > 1e-7)
{
$this->x /= $tmp;
$this->y /= $tmp;
$this->z /= $tmp;
}
else
{
throw new Exception('len = 0');
}
}
// Vector Cross Product
public function cross($xx, $yy, $zz)
{
$cx = $this->y * $zz - $this->z * $yy;
$cy = $this->z * $xx - $this->x * $zz;
$cz = $this->x * $yy - $this->y * $xx;
$this->x = $cx;
$this->y = $cy;
$this->z = $cz;
}
}
To use this class, it is very handy:
$v1 = new Vector(1, 0, 1);
$v2 = new Vector(0, 0, 1);
echo $v1->add($v2->X(), $v2->Y(), $v2->Z()).len();
–EOF (The Ultimate Computing & Technology Blog) —
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