<?php

namespace MathPHP\Tests\LinearAlgebra;

use MathPHP\LinearAlgebra\MatrixFactory;
use MathPHP\LinearAlgebra\SquareMatrix;

class VandermondeSquareMatrixTest extends \PHPUnit\Framework\TestCase
{
    /**
     * @test         Vandermonde matrix is constructed correctly
     * @dataProvider dataProviderForTestConstructor
     * @param        array $M
     * @param        int $n
     * @param        array $V
     * @throws       \Exception
     */
    public function testConstructor(array $M, int $n, array $V)
    {
        // Given
        $V = MatrixFactory::create($V);

        // When
        $M = MatrixFactory::vandermonde($M, $n);

        // Then
        $this->assertTrue($V->isEqual($M));
        $this->assertTrue($M->isEqual($V));

        // And
        $this->assertTrue($M->isSquare());
        $this->assertInstanceOf(SquareMatrix::class, $M);
    }

    /**
     * @return array
     */
    public function dataProviderForTestConstructor(): array
    {
        return [
            [
                [1, 2, 3, 4], 4,
                [
                    [1, 1, 1, 1],
                    [1, 2, 4, 8],
                    [1, 3, 9, 27],
                    [1, 4, 16, 64],
                ],
            ],
            [
                [10, 5, 4], 3,
                [
                    [1, 10, 100],
                    [1, 5, 25],
                    [1, 4, 16],
                ],
            ],
        ];
    }
}