Vector3.php

<?php
 
/*
 *
 *  ____            _        _   __  __ _                  __  __ ____
 * |  _ \ ___   ___| | _____| |_|  \/  (_)_ __   ___      |  \/  |  _ \
 * | |_) / _ \ / __| |/ / _ \ __| |\/| | | '_ \ / _ \_____| |\/| | |_) |
 * |  __/ (_) | (__|   <  __/ |_| |  | | | | | |  __/_____| |  | |  __/
 * |_|   \___/ \___|_|\_\___|\__|_|  |_|_|_| |_|\___|     |_|  |_|_|
 *
 * This program is free software: you can redistribute it and/or modify
 * it under the terms of the GNU Lesser General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * @author PocketMine Team
 * @link http://www.pocketmine.net/
 *
 *
*/
 
declare(strict_types=1);
 
namespace pocketmine\math;
 
use function abs;
use function ceil;
use function floor;
use function iterator_to_array;
use function max;
use function min;
use function round;
use function sqrt;
use const PHP_ROUND_HALF_UP;
 
class Vector3{
    public function __construct(
        public float|int $x,
        public float|int $y,
        public float|int $z
    ){}
 
    public static function zero() : Vector3{
        //TODO: make this reuse a single object, once Vector3 becomes immutable
        return new self(0, 0, 0);
    }
 
    public function getX() : float|int{
        return $this->x;
    }
 
    public function getY() : float|int{
        return $this->y;
    }
 
    public function getZ() : float|int{
        return $this->z;
    }
 
    public function getFloorX() : int{
        return (int) floor($this->x);
    }
 
    public function getFloorY() : int{
        return (int) floor($this->y);
    }
 
    public function getFloorZ() : int{
        return (int) floor($this->z);
    }
 
    public function add(float|int $x, float|int $y, float|int $z) : Vector3{
        return new Vector3($this->x + $x, $this->y + $y, $this->z + $z);
    }
 
    public function addVector(Vector3 $v) : Vector3{
        return $this->add($v->x, $v->y, $v->z);
    }
 
    public function subtract(float|int $x, float|int $y, float|int $z) : Vector3{
        return $this->add(-$x, -$y, -$z);
    }
 
    public function subtractVector(Vector3 $v) : Vector3{
        return $this->add(-$v->x, -$v->y, -$v->z);
    }
 
    public function multiply(float $number) : Vector3{
        return new Vector3($this->x * $number, $this->y * $number, $this->z * $number);
    }
 
    public function divide(float $number) : Vector3{
        return new Vector3($this->x / $number, $this->y / $number, $this->z / $number);
    }
 
    public function ceil() : Vector3{
        return new Vector3((int) ceil($this->x), (int) ceil($this->y), (int) ceil($this->z));
    }
 
    public function floor() : Vector3{
        return new Vector3((int) floor($this->x), (int) floor($this->y), (int) floor($this->z));
    }
 
    public function round(int $precision = 0, int $mode = PHP_ROUND_HALF_UP) : Vector3{
        return $precision > 0 ?
            new Vector3(round($this->x, $precision, $mode), round($this->y, $precision, $mode), round($this->z, $precision, $mode)) :
            new Vector3((int) round($this->x, $precision, $mode), (int) round($this->y, $precision, $mode), (int) round($this->z, $precision, $mode));
    }
 
    public function abs() : Vector3{
        return new Vector3(abs($this->x), abs($this->y), abs($this->z));
    }
 
    public function getSide(int $side, int $step = 1){
        [$offsetX, $offsetY, $offsetZ] = Facing::OFFSET[$side] ?? [0, 0, 0];
 
        return $this->add($offsetX * $step, $offsetY * $step, $offsetZ * $step);
    }
 
    public function down(int $step = 1){
        return $this->getSide(Facing::DOWN, $step);
    }
 
    public function up(int $step = 1){
        return $this->getSide(Facing::UP, $step);
    }
 
    public function north(int $step = 1){
        return $this->getSide(Facing::NORTH, $step);
    }
 
    public function south(int $step = 1){
        return $this->getSide(Facing::SOUTH, $step);
    }
 
    public function west(int $step = 1){
        return $this->getSide(Facing::WEST, $step);
    }
 
    public function east(int $step = 1){
        return $this->getSide(Facing::EAST, $step);
    }
 
    public function sides(int $step = 1) : \Generator{
        foreach(Facing::ALL as $facing){
            yield $facing => $this->getSide($facing, $step);
        }
    }
 
    public function sidesArray(bool $keys = false, int $step = 1) : array{
        return iterator_to_array($this->sides($step), $keys);
    }
 
    public function sidesAroundAxis(int $axis, int $step = 1) : \Generator{
        foreach(Facing::ALL as $facing){
            if(Facing::axis($facing) !== $axis){
                yield $facing => $this->getSide($facing, $step);
            }
        }
    }
 
    public function asVector3() : Vector3{
        return new Vector3($this->x, $this->y, $this->z);
    }
 
    public function distance(Vector3 $pos) : float{
        return sqrt($this->distanceSquared($pos));
    }
 
    public function distanceSquared(Vector3 $pos) : float{
        return (($this->x - $pos->x) ** 2) + (($this->y - $pos->y) ** 2) + (($this->z - $pos->z) ** 2);
    }
 
    public function maxPlainDistance(Vector3|Vector2|float $x, float $z = 0) : float{
        if($x instanceof Vector3){
            return $this->maxPlainDistance($x->x, $x->z);
        }elseif($x instanceof Vector2){
            return $this->maxPlainDistance($x->x, $x->y);
        }else{
            return max(abs($this->x - $x), abs($this->z - $z));
        }
    }
 
    public function length() : float{
        return sqrt($this->lengthSquared());
    }
 
    public function lengthSquared() : float{
        return $this->x * $this->x + $this->y * $this->y + $this->z * $this->z;
    }
 
    public function normalize() : Vector3{
        $len = $this->lengthSquared();
        if($len > 0){
            return $this->divide(sqrt($len));
        }
 
        return new Vector3(0, 0, 0);
    }
 
    public function dot(Vector3 $v) : float{
        return $this->x * $v->x + $this->y * $v->y + $this->z * $v->z;
    }
 
    public function cross(Vector3 $v) : Vector3{
        return new Vector3(
            $this->y * $v->z - $this->z * $v->y,
            $this->z * $v->x - $this->x * $v->z,
            $this->x * $v->y - $this->y * $v->x
        );
    }
 
    public function equals(Vector3 $v) : bool{
        return $this->x == $v->x and $this->y == $v->y and $this->z == $v->z;
    }
 
    public function getIntermediateWithXValue(Vector3 $v, float $x) : ?Vector3{
        $xDiff = $v->x - $this->x;
        if(($xDiff * $xDiff) < 0.0000001){
            return null;
        }
 
        $f = ($x - $this->x) / $xDiff;
 
        if($f < 0 or $f > 1){
            return null;
        }else{
            return new Vector3($x, $this->y + ($v->y - $this->y) * $f, $this->z + ($v->z - $this->z) * $f);
        }
    }
 
    public function getIntermediateWithYValue(Vector3 $v, float $y) : ?Vector3{
        $yDiff = $v->y - $this->y;
        if(($yDiff * $yDiff) < 0.0000001){
            return null;
        }
 
        $f = ($y - $this->y) / $yDiff;
 
        if($f < 0 or $f > 1){
            return null;
        }else{
            return new Vector3($this->x + ($v->x - $this->x) * $f, $y, $this->z + ($v->z - $this->z) * $f);
        }
    }
 
    public function getIntermediateWithZValue(Vector3 $v, float $z) : ?Vector3{
        $zDiff = $v->z - $this->z;
        if(($zDiff * $zDiff) < 0.0000001){
            return null;
        }
 
        $f = ($z - $this->z) / $zDiff;
 
        if($f < 0 or $f > 1){
            return null;
        }else{
            return new Vector3($this->x + ($v->x - $this->x) * $f, $this->y + ($v->y - $this->y) * $f, $z);
        }
    }
 
    public function __toString(){
        return "Vector3(x=" . $this->x . ",y=" . $this->y . ",z=" . $this->z . ")";
    }
 
    public function withComponents(float|int|null $x, float|int|null $y, float|int|null $z) : Vector3{
        if($x !== null || $y !== null || $z !== null){
            return new self($x ?? $this->x, $y ?? $this->y, $z ?? $this->z);
        }
        return $this;
    }
 
    public static function maxComponents(Vector3 $vector, Vector3 ...$vectors) : Vector3{
        $x = $vector->x;
        $y = $vector->y;
        $z = $vector->z;
        foreach($vectors as $position){
            $x = max($x, $position->x);
            $y = max($y, $position->y);
            $z = max($z, $position->z);
        }
        return new Vector3($x, $y, $z);
    }
 
    public static function minComponents(Vector3 $vector, Vector3 ...$vectors) : Vector3{
        $x = $vector->x;
        $y = $vector->y;
        $z = $vector->z;
        foreach($vectors as $position){
            $x = min($x, $position->x);
            $y = min($y, $position->y);
            $z = min($z, $position->z);
        }
        return new Vector3($x, $y, $z);
    }
 
    public static function sum(Vector3 ...$vector3s) : Vector3{
        $x = $y = $z = 0;
        foreach($vector3s as $vector3){
            $x += $vector3->x;
            $y += $vector3->y;
            $z += $vector3->z;
        }
        return new Vector3($x, $y, $z);
    }
}