refactored Tuple and created class for Point and Vector

This commit is contained in:
Mirko Janssen 2019-09-21 20:36:29 +02:00
parent b243d2b9e6
commit fc0d744bc5
7 changed files with 508 additions and 537 deletions

60
src/Primitives/Point.php Normal file
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@ -0,0 +1,60 @@
<?php
declare(strict_types=1);
namespace ItsAMirko\RayTracer\Primitives;
/**
* Class Point
*
* @package ItsAMirko\RayTracer\Primitives
*/
class Point extends Tuple
{
/**
* Point constructor.
*
* @param float $x
* @param float $y
* @param float $z
*/
public function __construct(float $x, float $y, float $z)
{
parent::__construct($x, $y, $z);
}
/**
* @param Vector $vector
*
* @return Point
*/
public function plusVector(Vector $vector): Point
{
return new Point($this->x + $vector->x(), $this->y + $vector->y(), $this->z + $vector->z());
}
/**
* @param Vector $vector
*
* @return Point
*/
public function minusVector(Vector $vector): Point
{
return new Point($this->x - $vector->x(), $this->y - $vector->y(), $this->z - $vector->z());
}
/**
* @param Point $point
*
* @return Vector
*/
public function minusPoint(Point $point): Vector
{
return new Vector($this->x - $point->x(), $this->y - $point->y(), $this->z - $point->z());
}
}

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@ -5,9 +5,6 @@ declare(strict_types=1);
namespace ItsAMirko\RayTracer\Primitives;
use InvalidArgumentException;
use RuntimeException;
use function pow;
use function sqrt;
/**
* Class Tuple
@ -31,11 +28,6 @@ class Tuple
*/
protected $z;
/**
* @var float
*/
protected $w;
/**
* Tuple constructor.
@ -43,40 +35,12 @@ class Tuple
* @param float $x
* @param float $y
* @param float $z
* @param float $w
*/
public function __construct(float $x, float $y, float $z, float $w)
public function __construct(float $x, float $y, float $z)
{
$this->x = $x;
$this->y = $y;
$this->z = $z;
$this->w = $w;
}
/**
* @param float $x
* @param float $y
* @param float $z
*
* @return Tuple
*/
public static function createPoint(float $x, float $y, float $z): Tuple
{
return new self($x, $y, $z, 1.0);
}
/**
* @param float $x
* @param float $y
* @param float $z
*
* @return Tuple
*/
public static function createVector(float $x, float $y, float $z): Tuple
{
return new self($x, $y, $z, 0.0);
}
@ -107,69 +71,12 @@ class Tuple
}
/**
* @return float
*/
public function w(): float
{
return $this->w;
}
/**
* @return bool
*/
public function isPoint(): bool
{
return $this->w === 1.0;
}
/**
* @return bool
*/
public function isVector(): bool
{
return $this->w === 0.0;
}
/**
* @param Tuple $other
*
* @return Tuple
*/
public function plus(Tuple $other): Tuple
{
if ($this->isPoint() && $other->isPoint()) {
throw new InvalidArgumentException('Two point can not be added together');
}
return new self($this->x + $other->x(), $this->y + $other->y(), $this->z + $other->z(), $this->w + $other->w());
}
/**
* @param Tuple $other
*
* @return Tuple
*/
public function minus(Tuple $other): Tuple
{
if ($this->isVector() && $other->isPoint()) {
throw new InvalidArgumentException('Can not subtract a point from a vector');
}
return new self($this->x - $other->x(), $this->y - $other->y(), $this->z - $other->z(), $this->w - $other->w());
}
/**
* @return Tuple
*/
public function negate(): Tuple
{
return new self(-1 * $this->x, -1 * $this->y, -1 * $this->z, -1 * $this->w);
return new static(-1 * $this->x, -1 * $this->y, -1 * $this->z);
}
@ -180,7 +87,7 @@ class Tuple
*/
public function multiplyWith(float $multiplier): Tuple
{
return new self($multiplier * $this->x, $multiplier * $this->y, $multiplier * $this->z, $multiplier * $this->w);
return new static($multiplier * $this->x, $multiplier * $this->y, $multiplier * $this->z);
}
@ -195,59 +102,6 @@ class Tuple
throw new InvalidArgumentException('Can not divided with zero');
}
return new self($this->x / $divider, $this->y / $divider, $this->z / $divider, $this->w / $divider);
}
/**
* @return float
*/
public function magnitude(): float
{
if ($this->isVector() === false) {
throw new RuntimeException('This tuple needs to be a vector');
}
return sqrt(pow($this->x, 2) + pow($this->y, 2) + pow($this->z, 2));
}
/**
* @return Tuple
*/
public function normalize(): Tuple
{
return $this->divideWith($this->magnitude());
}
/**
* @param Tuple $other
*
* @return float
*/
public function dot(Tuple $other): float
{
if ($this->isVector() === false || $other->isVector() === false) {
throw new RuntimeException('Dot product can only be build for vectors');
}
return $this->x * $other->x() + $this->y * $other->y() + $this->z * $other->z;
}
/**
* @param Tuple $other
*
* @return Tuple
*/
public function cross(Tuple $other): Tuple
{
if ($this->isVector() === false || $other->isVector() === false) {
throw new RuntimeException('Cross product can only be build for vectors');
}
return new self($this->y * $other->z() - $this->z * $other->y, $this->z * $other->x() - $this->x * $other->z,
$this->x * $other->y() - $this->y * $other->x, 0.0);
return new static($this->x / $divider, $this->y / $divider, $this->z / $divider);
}
}

111
src/Primitives/Vector.php Normal file
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@ -0,0 +1,111 @@
<?php
declare(strict_types=1);
namespace ItsAMirko\RayTracer\Primitives;
/**
* Class Vector
*
* @package ItsAMirko\RayTracer\Primitives
*/
class Vector extends Tuple
{
/**
* Vector constructor.
*
* @param float $x
* @param float $y
* @param float $z
*/
public function __construct(float $x, float $y, float $z)
{
parent::__construct($x, $y, $z);
}
/**
* @param Vector $vector
*
* @return Vector
*/
public function plusVector(Vector $vector): Vector
{
return new Vector($this->x + $vector->x(), $this->y + $vector->y(), $this->z + $vector->z());
}
/**
* @param Point $vector
*
* @return Point
*/
public function plusPoint(Point $vector): Point
{
return new Point($this->x + $vector->x(), $this->y + $vector->y(), $this->z + $vector->z());
}
/**
* @param Vector $vector
*
* @return Vector
*/
public function minusVector(Vector $vector): Vector
{
return new Vector($this->x - $vector->x(), $this->y - $vector->y(), $this->z - $vector->z());
}
/**
* @param Point $point
*
* @return Point
*/
public function minusPoint(Point $point): Point
{
return new Point($this->x - $point->x(), $this->y - $point->y(), $this->z - $point->z());
}
/**
* @return float
*/
public function magnitude(): float
{
return sqrt(pow($this->x, 2) + pow($this->y, 2) + pow($this->z, 2));
}
/**
* @return Tuple
*/
public function normalize(): Tuple
{
return $this->divideWith($this->magnitude());
}
/**
* @param Vector $vector
*
* @return float
*/
public function dot(Vector $vector): float
{
return $this->x * $vector->x() + $this->y * $vector->y() + $this->z * $vector->z;
}
/**
* @param Vector $vector
*
* @return Vector
*/
public function cross(Vector $vector): Vector
{
return new Vector($this->y * $vector->z() - $this->z * $vector->y,
$this->z * $vector->x() - $this->x * $vector->z, $this->x * $vector->y() - $this->y * $vector->x);
}
}

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@ -4,7 +4,8 @@ declare(strict_types=1);
include __DIR__ . '/../vendor/autoload.php';
use ItsAMirko\RayTracer\Primitives\Tuple;
use ItsAMirko\RayTracer\Primitives\Point;
use ItsAMirko\RayTracer\Primitives\Vector;
/**
* Class Projectile
@ -12,12 +13,12 @@ use ItsAMirko\RayTracer\Primitives\Tuple;
class Projectile
{
/**
* @var Tuple
* @var Point
*/
public $position;
/**
* @var Tuple
* @var Vector
*/
public $velocity;
}
@ -28,12 +29,12 @@ class Projectile
class Environment
{
/**
* @var Tuple
* @var Vector
*/
public $gravity;
/**
* @var Tuple
* @var Vector
*/
public $wind;
}
@ -41,19 +42,19 @@ class Environment
function tick(Environment $environment, Projectile $projectile): Projectile
{
$projectile->position = $projectile->position->plus($projectile->velocity);
$projectile->velocity = $projectile->velocity->plus($environment->gravity)->plus($environment->wind);
$projectile->position = $projectile->position->plusVector($projectile->velocity);
$projectile->velocity = $projectile->velocity->plusVector($environment->gravity)->plusVector($environment->wind);
return $projectile;
}
$environment = new Environment();
$environment->gravity = Tuple::createVector(0.0, -0.1, 0.0);
$environment->wind = Tuple::createVector(-0.01, 0.0, 0.0);
$environment->gravity = new Vector(0.0, -0.1, 0.0);
$environment->wind = new Vector(-0.01, 0.0, 0.0);
$projectile = new Projectile();
$projectile->position = Tuple::createPoint(0.0, 1.0, 0.0);
$projectile->velocity = Tuple::createVector(1.0, 1.0, 0.0)->normalize();
$projectile->position = new Point(0.0, 1.0, 0.0);
$projectile->velocity = (new Vector(1.0, 1.0, 0.0))->normalize();
while ($projectile->position->y() > 0) {
echo $projectile->position->x() . ' | ' . $projectile->position->y() . PHP_EOL;

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@ -0,0 +1,93 @@
<?php
declare(strict_types=1);
namespace ItsAMirko\RayTracer\Primitives;
use Exception;
use PHPUnit\Framework\TestCase;
use function random_int;
class PointTest extends TestCase
{
/**
* @var float
*/
private $x;
/**
* @var float
*/
private $y;
/**
* @var float|int float
*/
private $z;
/**
* @throws Exception
*/
protected function setUp(): void
{
parent::setUp();
$this->x = random_int(100, 10000) / 100;
$this->y = random_int(100, 10000) / 100;
$this->z = random_int(100, 10000) / 100;
}
public function testCanBeCreatedAsTuple(): void
{
$point = new Point($this->x, $this->y, $this->z);
$this->assertInstanceOf(Tuple::class, $point);
$this->assertSame($this->x, $point->x());
$this->assertSame($this->y, $point->y());
$this->assertSame($this->z, $point->z());
}
public function testCreatesANewPointByAddingAVector(): void
{
$point = new Point(1.0, 2.0, 3.0);
$vector = new Vector($this->x, $this->y, $this->z);
$actualPoint = $point->plusVector($vector);
$this->assertInstanceOf(Point::class, $actualPoint);
$this->assertSame(1 + $this->x, $actualPoint->x());
$this->assertSame(2 + $this->y, $actualPoint->y());
$this->assertSame(3 + $this->z, $actualPoint->z());
}
public function testCreatesANewPointBySubtractingAVector(): void
{
$point = new Point(1.0, 2.0, 3.0);
$vector = new Vector($this->x, $this->y, $this->z);
$actualPoint = $point->minusVector($vector);
$this->assertInstanceOf(Point::class, $actualPoint);
$this->assertSame(1 - $this->x, $actualPoint->x());
$this->assertSame(2 - $this->y, $actualPoint->y());
$this->assertSame(3 - $this->z, $actualPoint->z());
}
public function testCreatesANewVectorBySubtractingAPoint(): void
{
$point1 = new Point(1.0, 2.0, 3.0);
$point2 = new Point($this->x, $this->y, $this->z);
$actualVector = $point1->minusPoint($point2);
$this->assertInstanceOf(Vector::class, $actualVector);
$this->assertSame(1 - $this->x, $actualVector->x());
$this->assertSame(2 - $this->y, $actualVector->y());
$this->assertSame(3 - $this->z, $actualVector->z());
}
}

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@ -4,252 +4,33 @@ declare(strict_types=1);
namespace ItsAMirko\RayTracer\Primitives;
use InvalidArgumentException;
use PHPUnit\Framework\TestCase;
use RuntimeException;
use function sqrt;
class TupleTest extends TestCase
{
/**
* @testdox A tuple with w=1.0 is a point
*/
public function testCanBeAPoint(): void
public function testProvidedCoordinates(): void
{
$tuple = new Tuple(4.3, -4.2, 3.1, 1.0);
$tuple = new Tuple(4.3, -4.2, 3.1);
$this->assertSame(4.3, $tuple->x());
$this->assertSame(-4.2, $tuple->y());
$this->assertSame(3.1, $tuple->z());
$this->assertSame(1.0, $tuple->w());
$this->assertTrue($tuple->isPoint());
$this->assertFalse($tuple->isVector());
}
/**
* @testdox A tuple with w=0.0 is a vector
*/
public function testCanBeAVector(): void
public function testCanBeNegated(): void
{
$tuple = new Tuple(4.3, -4.2, 3.1, 0.0);
$tuple = new Tuple(3.0, -2.0, 5.0);
$this->assertSame(4.3, $tuple->x());
$this->assertSame(-4.2, $tuple->y());
$this->assertSame(3.1, $tuple->z());
$this->assertSame(0.0, $tuple->w());
$this->assertFalse($tuple->isPoint());
$this->assertTrue($tuple->isVector());
$negatedTuple = $tuple->negate();
$this->assertSame(-3.0, $negatedTuple->x());
$this->assertSame(2.0, $negatedTuple->y());
$this->assertSame(-5.0, $negatedTuple->z());
}
/**
* @testdox creates tuples with w=1
*/
public function testCanBeCreatedAsPoint(): void
{
$point = Tuple::createPoint(4.0, -4.0, 3.0);
$this->assertInstanceOf(Tuple::class, $point);
$this->assertSame(4.0, $point->x());
$this->assertSame(-4.0, $point->y());
$this->assertSame(3.0, $point->z());
$this->assertSame(1.0, $point->w());
}
/**
* @testdox creates tuples with w=0
*/
public function testCanBeCreatedAsVector(): void
{
$vector = Tuple::createVector(4.0, -4.0, 3.0);
$this->assertInstanceOf(Tuple::class, $vector);
$this->assertSame(4.0, $vector->x());
$this->assertSame(-4.0, $vector->y());
$this->assertSame(3.0, $vector->z());
$this->assertSame(0.0, $vector->w());
}
/**
* @testdox Adding two tuples
* @dataProvider parametersForTupleAddition
*
* @param Tuple $tuple1
* @param Tuple $tuple2
* @param Tuple $expectedTuple
*/
public function testCanBeAddedTogether(Tuple $tuple1, Tuple $tuple2, Tuple $expectedTuple): void
{
$actualTuple = $tuple1->plus($tuple2);
$this->assertSame($expectedTuple->x(), $actualTuple->x());
$this->assertSame($expectedTuple->y(), $actualTuple->y());
$this->assertSame($expectedTuple->z(), $actualTuple->z());
$this->assertSame($expectedTuple->w(), $actualTuple->w());
}
/**
* @return array
*/
public function parametersForTupleAddition(): array
{
return [
[
new Tuple(3.0, -2.0, 5.0, 1.0),
new Tuple(-2.0, 3.0, 1.0, 0.0),
new Tuple(1.0, 1.0, 6.0, 1.0),
],
[
new Tuple(-2.0, 3.0, 1.0, 0.0),
new Tuple(3.0, -2.0, 5.0, 1.0),
new Tuple(1.0, 1.0, 6.0, 1.0),
],
[
new Tuple(1.1, 2.2, 3.3, 0.0),
new Tuple(0.9, 0.8, 0.7, 0.0),
new Tuple(2.0, 3.0, 4.0, 0.0),
],
[
new Tuple(0.9, 0.8, 0.7, 0.0),
new Tuple(1.1, 2.2, 3.3, 0.0),
new Tuple(2.0, 3.0, 4.0, 0.0),
],
];
}
/**
* @testdox Throw exception if two point should be added together
*/
public function testCanNotAddPointToAnotherPoint(): void
{
$this->expectException(InvalidArgumentException::class);
$point1 = new Tuple(1.0, 1.0, 1.0, 1.0);
$point2 = new Tuple(1.0, 1.0, 1.0, 1.0);
$point1->plus($point2);
}
/**
* @testdox Subtracting two tuples
* @dataProvider parametersForTupleSubtraction
*
* @param Tuple $tuple1
* @param Tuple $tuple2
* @param Tuple $expectedTuple
*/
public function testCanBeSubtractedFromEachOther(Tuple $tuple1, Tuple $tuple2, Tuple $expectedTuple): void
{
$actualTuple = $tuple1->minus($tuple2);
$this->assertSame($expectedTuple->x(), $actualTuple->x());
$this->assertSame($expectedTuple->y(), $actualTuple->y());
$this->assertSame($expectedTuple->z(), $actualTuple->z());
$this->assertSame($expectedTuple->w(), $actualTuple->w());
}
/**
* @return array
*/
public function parametersForTupleSubtraction(): array
{
return [
[
new Tuple(3.0, -2.0, 5.0, 1.0),
new Tuple(1.0, 1.0, 6.0, 1.0),
new Tuple(2.0, -3.0, -1.0, 0.0),
],
[
new Tuple(1.0, 1.0, 6.0, 1.0),
new Tuple(3.0, -2.0, 5.0, 1.0),
new Tuple(-2.0, 3.0, 1.0, 0.0),
],
[
new Tuple(1.1, 2.2, 3.3, 1.0),
new Tuple(2.0, 3.0, 4.0, 0.0),
new Tuple(-0.9, -0.8, -0.7, 1.0),
],
[
new Tuple(0.0, 0.0, 0.0, 0.0),
new Tuple(2.0, 3.0, 4.0, 0.0),
new Tuple(-2.0, -3.0, -4.0, 0.0),
],
[
new Tuple(2.0, 3.0, 4.0, 0.0),
new Tuple(0.9, 0.8, 0.7, 0.0),
new Tuple(1.1, 2.2, 3.3, 0.0),
],
];
}
/**
* @testdox Throw exception if a point should be subtracted from a vector
*/
public function testCanNotSubtractPointFromAVector(): void
{
$this->expectException(InvalidArgumentException::class);
$point1 = new Tuple(1.0, 1.0, 1.0, 0.0);
$point2 = new Tuple(1.0, 1.0, 1.0, 1.0);
$point1->minus($point2);
}
/**
* @testdox Negating a tuple
* @dataProvider parametersForTupleNegation
*
* @param Tuple $tuple1
* @param Tuple $expectedTuple
*/
public function testCanBeNegated(Tuple $tuple1, Tuple $expectedTuple): void
{
$actualTuple = $tuple1->negate();
$this->assertSame($expectedTuple->x(), $actualTuple->x());
$this->assertSame($expectedTuple->y(), $actualTuple->y());
$this->assertSame($expectedTuple->z(), $actualTuple->z());
$this->assertSame($expectedTuple->w(), $actualTuple->w());
}
/**
* @return array
*/
public function parametersForTupleNegation(): array
{
return [
[
new Tuple(3.0, -2.0, 5.0, 1.0),
new Tuple(-3.0, 2.0, -5.0, -1.0),
],
[
new Tuple(-3.0, 2.0, -5.0, -1.0),
new Tuple(3.0, -2.0, 5.0, 1.0),
],
[
new Tuple(1.1, 2.2, 3.3, 0.0),
new Tuple(-1.1, -2.2, -3.3, 0.0),
],
[
new Tuple(-1.1, -2.2, -3.3, 0.0),
new Tuple(1.1, 2.2, 3.3, 0.0),
],
];
}
/**
* @testdox Multiplying a tuple
* @dataProvider parametersForTupleMultiplication
*
* @param Tuple $tuple1
@ -263,7 +44,6 @@ class TupleTest extends TestCase
$this->assertSame($expectedTuple->x(), $actualTuple->x());
$this->assertSame($expectedTuple->y(), $actualTuple->y());
$this->assertSame($expectedTuple->z(), $actualTuple->z());
$this->assertSame($expectedTuple->w(), $actualTuple->w());
}
@ -273,27 +53,14 @@ class TupleTest extends TestCase
public function parametersForTupleMultiplication(): array
{
return [
[
new Tuple(1.0, -2.0, 3.0, -4.0),
3.5,
new Tuple(3.5, -7.0, 10.5, -14),
],
[
new Tuple(1.0, -2.0, 3.0, -4.0),
0.5,
new Tuple(0.5, -1.0, 1.5, -2.0),
],
[
new Tuple(1.0, -2.0, 3.0, -4.0),
-1,
new Tuple(-1.0, 2.0, -3.0, 4.0),
],
[new Tuple(1.0, -2.0, 3.0), 3.5, new Tuple(3.5, -7.0, 10.5)],
[new Tuple(1.0, -2.0, 3.0), 0.5, new Tuple(0.5, -1.0, 1.5)],
[new Tuple(1.0, -2.0, 3.0), -1, new Tuple(-1.0, 2.0, -3.0)],
];
}
/**
* @testdox Dividing a tuple
* @dataProvider parametersForTupleDivision
*
* @param Tuple $tuple1
@ -307,7 +74,6 @@ class TupleTest extends TestCase
$this->assertSame($expectedTuple->x(), $actualTuple->x());
$this->assertSame($expectedTuple->y(), $actualTuple->y());
$this->assertSame($expectedTuple->z(), $actualTuple->z());
$this->assertSame($expectedTuple->w(), $actualTuple->w());
}
@ -317,138 +83,9 @@ class TupleTest extends TestCase
public function parametersForTupleDivision(): array
{
return [
[
new Tuple(1.0, -2.0, 3.0, -4.0),
2,
new Tuple(0.5, -1.0, 1.5, -2.0),
],
[
new Tuple(1.0, -2.0, 3.0, -4.0),
0.5,
new Tuple(2.0, -4.0, 6.0, -8.0),
],
[new Tuple(1.0, -2.0, 3.0), 2, new Tuple(0.5, -1.0, 1.5)],
[new Tuple(1.0, -2.0, 3.0), 0.5, new Tuple(2.0, -4.0, 6.0)],
];
}
/**
* @testdox Computing the magnitude of a vector
*/
public function testHasAMagnitude(): void
{
$this->assertSame(1.0, (new Tuple(1.0, 0.0, 0.0, 0.0))->magnitude());
$this->assertSame(1.0, (new Tuple(0.0, 1.0, 0.0, 0.0))->magnitude());
$this->assertSame(1.0, (new Tuple(0.0, 0.0, 1.0, 0.0))->magnitude());
$this->assertSame(sqrt(14), (new Tuple(1.0, 2.0, 3.0, 0.0))->magnitude());
$this->assertSame(sqrt(14), (new Tuple(-1.0, -2.0, -3.0, 0.0))->magnitude());
}
/**
* @testdox Throws an exception if the magnitude should be computed for a point
*/
public function testCanNotComputeMagnitudeForAPoint(): void
{
$this->expectException(RuntimeException::class);
Tuple::createPoint(1.0, 0.0, 0.0)->magnitude();
}
/**
* @testdox Normalizing vector
* @dataProvider parametersForVectorNormalization
*
* @param Tuple $vector
* @param Tuple $expectedVector
*/
public function testCanBeNormalized(Tuple $vector, Tuple $expectedVector): void
{
$normalizedVector = $vector->normalize();
$this->assertSame($expectedVector->x(), $normalizedVector->x());
$this->assertSame($expectedVector->y(), $normalizedVector->y());
$this->assertSame($expectedVector->z(), $normalizedVector->z());
$this->assertSame(1.0, $normalizedVector->magnitude());
}
/**
* @return array
*/
public function parametersForVectorNormalization(): array
{
return [
[
Tuple::createVector(4.0, 0.0, 0.0),
Tuple::createVector(1.0, 0.0, 0.0),
],
[
Tuple::createVector(1.0, 2.0, 3.0),
Tuple::createVector(1 / sqrt(14), 2 / sqrt(14), 3 / sqrt(14)),
],
];
}
/**
* @testdox Throws an exception if a point should be normalized
*/
public function testCanNotNormalizeAPoint(): void
{
$this->expectException(RuntimeException::class);
Tuple::createPoint(1.0, 0.0, 0.0)->normalize();
}
/**
* @testdox The dot product of two vectors
*/
public function testCanBuildDotProduct(): void
{
$vector1 = new Tuple(1.0, 2.0, 3.0, 0.0);
$vector2 = new Tuple(2.0, 3.0, 4.0, 0.0);
$this->assertSame(20.0, $vector1->dot($vector2));
}
/**
* @testdox The cross product of two vectors
* @dataProvider parametersForVectorCrossProduct
*
* @param Tuple $vector1
* @param Tuple $vector2
* @param Tuple $expectedVector
*/
public function testCanBuildCrossProduct(Tuple $vector1, Tuple $vector2, Tuple $expectedVector): void
{
$actualTuple = $vector1->cross($vector2);
$this->assertSame($expectedVector->x(), $actualTuple->x());
$this->assertSame($expectedVector->y(), $actualTuple->y());
$this->assertSame($expectedVector->z(), $actualTuple->z());
$this->assertSame($expectedVector->w(), $actualTuple->w());
}
/**
* @return array
*/
public function parametersForVectorCrossProduct(): array
{
return [
[
new Tuple(1.0, 2.0, 3.0, 0.0),
new Tuple(2.0, 3.0, 4.0, 0.0),
new Tuple(-1.0, 2.0, -1.0, 0.0),
],
[
new Tuple(2.0, 3.0, 4.0, 0.0),
new Tuple(1.0, 2.0, 3.0, 0.0),
new Tuple(1.0, -2.0, 1.0, 0.0),
],
];
}
}

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<?php
declare(strict_types=1);
namespace ItsAMirko\RayTracer\Primitives;
use Exception;
use PHPUnit\Framework\TestCase;
use function random_int;
class VectorTest extends TestCase
{
/**
* @var float
*/
private $x;
/**
* @var float
*/
private $y;
/**
* @var float|int float
*/
private $z;
/**
* @throws Exception
*/
protected function setUp(): void
{
parent::setUp();
$this->x = random_int(100, 10000) / 100;
$this->y = random_int(100, 10000) / 100;
$this->z = random_int(100, 10000) / 100;
}
public function testCanBeCreatedAsTuple(): void
{
$vector = new Vector($this->x, $this->y, $this->z);
$this->assertInstanceOf(Tuple::class, $vector);
$this->assertSame($this->x, $vector->x());
$this->assertSame($this->y, $vector->y());
$this->assertSame($this->z, $vector->z());
}
public function testCreatesANewPointByAddingAPoint(): void
{
$vector = new Vector(1.0, 2.0, 3.0);
$point = new Point($this->x, $this->y, $this->z);
$actualPoint = $vector->plusPoint($point);
$this->assertInstanceOf(Point::class, $actualPoint);
$this->assertSame(1 + $this->x, $actualPoint->x());
$this->assertSame(2 + $this->y, $actualPoint->y());
$this->assertSame(3 + $this->z, $actualPoint->z());
}
public function testCreatesANewVectorByAddingAVector(): void
{
$vector1 = new Vector(1.0, 2.0, 3.0);
$vector2 = new Vector($this->x, $this->y, $this->z);
$actualVector = $vector1->plusVector($vector2);
$this->assertInstanceOf(Vector::class, $actualVector);
$this->assertSame(1 + $this->x, $actualVector->x());
$this->assertSame(2 + $this->y, $actualVector->y());
$this->assertSame(3 + $this->z, $actualVector->z());
}
public function testCreatesANewVectorBySubtractingAVector(): void
{
$vector1 = new Vector(1.0, 2.0, 3.0);
$vector2 = new Vector($this->x, $this->y, $this->z);
$actualVector = $vector1->minusVector($vector2);
$this->assertInstanceOf(Vector::class, $actualVector);
$this->assertSame(1 - $this->x, $actualVector->x());
$this->assertSame(2 - $this->y, $actualVector->y());
$this->assertSame(3 - $this->z, $actualVector->z());
}
public function testCreatesANewPointBySubtractingAPoint(): void
{
$vector = new Vector(1.0, 2.0, 3.0);
$point = new Point($this->x, $this->y, $this->z);
$actualPoint = $vector->minusPoint($point);
$this->assertInstanceOf(Point::class, $actualPoint);
$this->assertSame(1 - $this->x, $actualPoint->x());
$this->assertSame(2 - $this->y, $actualPoint->y());
$this->assertSame(3 - $this->z, $actualPoint->z());
}
/**
* @dataProvider parametersForMagnitudes
*
* @param Vector $vector
* @param float $expectedMagnitude
*/
public function testHasAMagnitude(Vector $vector, float $expectedMagnitude): void
{
$this->assertSame($expectedMagnitude, $vector->magnitude());
}
/**
* @return array
*/
public function parametersForMagnitudes(): array
{
return [
[new Vector(1.0, 0.0, 0.0), 1.0],
[new Vector(0.0, 1.0, 0.0), 1.0],
[new Vector(0.0, 0.0, 1.0), 1.0],
[new Vector(1.0, 2.0, 3.0), sqrt(14)],
[new Vector(-1.0, -2.0, -3.0), sqrt(14)],
];
}
/**
* @dataProvider parametersForNormalization
*
* @param Vector $vector
* @param Vector $expectedVector
*/
public function testCanBeNormalized(Vector $vector, Vector $expectedVector): void
{
$normalizedVector = $vector->normalize();
$this->assertSame($expectedVector->x(), $normalizedVector->x());
$this->assertSame($expectedVector->y(), $normalizedVector->y());
$this->assertSame($expectedVector->z(), $normalizedVector->z());
$this->assertSame(1.0, $normalizedVector->magnitude());
}
/**
* @return array
*/
public function parametersForNormalization(): array
{
return [
[
new Vector(4.0, 0.0, 0.0),
new Vector(1.0, 0.0, 0.0),
],
[
new Vector(1.0, 2.0, 3.0),
new Vector(1 / sqrt(14), 2 / sqrt(14), 3 / sqrt(14)),
],
];
}
public function testCanBuildDotProduct(): void
{
$vector1 = new Vector(1.0, 2.0, 3.0);
$vector2 = new Vector(2.0, 3.0, 4.0);
$this->assertSame(20.0, $vector1->dot($vector2));
}
/**
* @dataProvider parametersForVectorCrossProduct
*
* @param Vector $vector1
* @param Vector $vector2
* @param Vector $expectedVector
*/
public function testCanBuildCrossProduct(Vector $vector1, Vector $vector2, Vector $expectedVector): void
{
$actualTuple = $vector1->cross($vector2);
$this->assertSame($expectedVector->x(), $actualTuple->x());
$this->assertSame($expectedVector->y(), $actualTuple->y());
$this->assertSame($expectedVector->z(), $actualTuple->z());
}
/**
* @return array
*/
public function parametersForVectorCrossProduct(): array
{
return [
[
new Vector(1.0, 2.0, 3.0),
new Vector(2.0, 3.0, 4.0),
new Vector(-1.0, 2.0, -1.0),
],
[
new Vector(2.0, 3.0, 4.0),
new Vector(1.0, 2.0, 3.0),
new Vector(1.0, -2.0, 1.0),
],
];
}
}