diff --git a/Math/Topology/Kernel2D.php b/Math/Topology/Kernel2D.php index d89805716..719497d12 100644 --- a/Math/Topology/Kernel2D.php +++ b/Math/Topology/Kernel2D.php @@ -17,6 +17,8 @@ namespace phpOMS\Math\Topology; /** * Kernels. * + * The bandwidth in the following functions is equivalent with sigma. + * * @package phpOMS\Math\Topology * @license OMS License 2.0 * @link https://jingga.app diff --git a/tests/Math/Topology/Kernel2DTest.php b/tests/Math/Topology/Kernel2DTest.php index 58a718e65..47ad002bf 100644 --- a/tests/Math/Topology/Kernel2DTest.php +++ b/tests/Math/Topology/Kernel2DTest.php @@ -25,91 +25,91 @@ final class Kernel2DTest extends \PHPUnit\Framework\TestCase { public function testUniform() : void { - self::assertEquals(0.5, Kernel2D::uniformKernel(1, 0)); - self::assertEquals(0.5, Kernel2D::uniformKernel(1, -1)); + self::assertEquals(0.5, Kernel2D::uniformKernel(0, 1)); + self::assertEquals(0.5, Kernel2D::uniformKernel(-1, 1)); self::assertEquals(0.5, Kernel2D::uniformKernel(1, 1)); - self::assertEquals(0.0, Kernel2D::uniformKernel(1, 2)); - self::assertEquals(0.0, Kernel2D::uniformKernel(1, -2)); + self::assertEquals(0.0, Kernel2D::uniformKernel(2, 1)); + self::assertEquals(0.0, Kernel2D::uniformKernel(-2, 1)); } public function testTriangle() : void { - self::assertEquals(1.0, Kernel2D::triangularKernel(1, 0)); - self::assertEquals(0.0, Kernel2D::triangularKernel(1, -1)); + self::assertEquals(1.0, Kernel2D::triangularKernel(0, 1)); + self::assertEquals(0.0, Kernel2D::triangularKernel(-1, 1)); self::assertEquals(0.0, Kernel2D::triangularKernel(1, 1)); - self::assertEquals(0.0, Kernel2D::triangularKernel(1, 2)); - self::assertEquals(0.0, Kernel2D::triangularKernel(1, -2)); + self::assertEquals(0.0, Kernel2D::triangularKernel(2, 1)); + self::assertEquals(0.0, Kernel2D::triangularKernel(-2, 1)); } public function testEpanechnikov() : void { - self::assertEquals(3 / 4, Kernel2D::epanechnikovKernel(1, 0)); - self::assertEquals(0.0, Kernel2D::epanechnikovKernel(1, -1)); + self::assertEquals(3 / 4, Kernel2D::epanechnikovKernel(0, 1)); + self::assertEquals(0.0, Kernel2D::epanechnikovKernel(-1, 1)); self::assertEquals(0.0, Kernel2D::epanechnikovKernel(1, 1)); - self::assertEquals(0.0, Kernel2D::epanechnikovKernel(1, 2)); - self::assertEquals(0.0, Kernel2D::epanechnikovKernel(1, -2)); + self::assertEquals(0.0, Kernel2D::epanechnikovKernel(2, 1)); + self::assertEquals(0.0, Kernel2D::epanechnikovKernel(-2, 1)); } public function testQuartic() : void { - self::assertEquals(15 / 6, Kernel2D::quarticKernel(1, 0)); - self::assertEquals(0.0, Kernel2D::quarticKernel(1, -1)); + self::assertEquals(15 / 6, Kernel2D::quarticKernel(0, 1)); + self::assertEquals(0.0, Kernel2D::quarticKernel(-1, 1)); self::assertEquals(0.0, Kernel2D::quarticKernel(1, 1)); - self::assertEquals(0.0, Kernel2D::quarticKernel(1, 2)); - self::assertEquals(0.0, Kernel2D::quarticKernel(1, -2)); + self::assertEquals(0.0, Kernel2D::quarticKernel(2, 1)); + self::assertEquals(0.0, Kernel2D::quarticKernel(-2, 1)); } public function testTriweight() : void { - self::assertEquals(35 / 32, Kernel2D::triweightKernel(1, 0)); - self::assertEquals(0.0, Kernel2D::triweightKernel(1, -1)); + self::assertEquals(35 / 32, Kernel2D::triweightKernel(0, 1)); + self::assertEquals(0.0, Kernel2D::triweightKernel(-1, 1)); self::assertEquals(0.0, Kernel2D::triweightKernel(1, 1)); - self::assertEquals(0.0, Kernel2D::triweightKernel(1, 2)); - self::assertEquals(0.0, Kernel2D::triweightKernel(1, -2)); + self::assertEquals(0.0, Kernel2D::triweightKernel(2, 1)); + self::assertEquals(0.0, Kernel2D::triweightKernel(-2, 1)); } public function testTricube() : void { - self::assertEquals(70 / 81, Kernel2D::tricubeKernel(1, 0)); - self::assertEquals(0.0, Kernel2D::tricubeKernel(1, -1)); + self::assertEquals(70 / 81, Kernel2D::tricubeKernel(0, 1)); + self::assertEquals(0.0, Kernel2D::tricubeKernel(-1, 1)); self::assertEquals(0.0, Kernel2D::tricubeKernel(1, 1)); - self::assertEquals(0.0, Kernel2D::tricubeKernel(1, 2)); - self::assertEquals(0.0, Kernel2D::tricubeKernel(1, -2)); + self::assertEquals(0.0, Kernel2D::tricubeKernel(2, 1)); + self::assertEquals(0.0, Kernel2D::tricubeKernel(-2, 1)); } public function testGaussian() : void { - self::assertEquals(1 / \sqrt(2 * \M_PI), Kernel2D::gaussianKernel(1, 0)); - self::assertEquals(0.0, Kernel2D::gaussianKernel(1, -1)); + self::assertEquals(1 / \sqrt(2 * \M_PI), Kernel2D::gaussianKernel(0, 1)); + self::assertEquals(0.0, Kernel2D::gaussianKernel(-1, 1)); self::assertEquals(0.0, Kernel2D::gaussianKernel(1, 1)); - self::assertEquals(0.0, Kernel2D::gaussianKernel(1, 2)); - self::assertEquals(0.0, Kernel2D::gaussianKernel(1, -2)); + self::assertEquals(0.0, Kernel2D::gaussianKernel(2, 1)); + self::assertEquals(0.0, Kernel2D::gaussianKernel(-2, 1)); } public function testCosine() : void { - self::assertEquals(\M_PI / 4, Kernel2D::cosineKernel(1, 0)); - self::assertEquals(0.0, Kernel2D::cosineKernel(1, -1)); + self::assertEquals(\M_PI / 4, Kernel2D::cosineKernel(0, 1)); + self::assertEquals(0.0, Kernel2D::cosineKernel(-1, 1)); self::assertEquals(0.0, Kernel2D::cosineKernel(1, 1)); - self::assertEquals(0.0, Kernel2D::cosineKernel(1, 2)); - self::assertEquals(0.0, Kernel2D::cosineKernel(1, -2)); + self::assertEquals(0.0, Kernel2D::cosineKernel(2, 1)); + self::assertEquals(0.0, Kernel2D::cosineKernel(-2, 1)); } public function testLogistic() : void { - self::assertEquals(0.5, Kernel2D::logisticKernel(1, 0)); - self::assertEquals(0.0, Kernel2D::logisticKernel(1, -1)); + self::assertEquals(0.5, Kernel2D::logisticKernel(0, 1)); + self::assertEquals(0.0, Kernel2D::logisticKernel(-1, 1)); self::assertEquals(0.0, Kernel2D::logisticKernel(1, 1)); - self::assertEquals(0.0, Kernel2D::logisticKernel(1, 2)); - self::assertEquals(0.0, Kernel2D::logisticKernel(1, -2)); + self::assertEquals(0.0, Kernel2D::logisticKernel(2, 1)); + self::assertEquals(0.0, Kernel2D::logisticKernel(-2, 1)); } }