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Making sure matrices looks like matrices
This commit is contained in:
Alexander Liljengård
parent
c898353497
commit
92648f3eaa
@ -10,22 +10,22 @@ class MatrixTest extends TestCase
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public function testTwoByTwoDeterminant()
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public function testTwoByTwoDeterminant()
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{
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{
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$a = new SquareMatrix(1, 2,
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$a = new SquareMatrix(1, 2,
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3, 4);
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3, 4);
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$this->assertEquals(-2, $a->getDeterminant());
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$this->assertEquals(-2, $a->getDeterminant());
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$b = new SquareMatrix(3, 4,
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$b = new SquareMatrix(3, 4,
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5, 6);
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5, 6);
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$this->assertEquals(-2, $b->getDeterminant());
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$this->assertEquals(-2, $b->getDeterminant());
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$c = new SquareMatrix(1, 1,
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$c = new SquareMatrix(1, 1,
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1, 1);
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1, 1);
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$this->assertEquals(0, $c->getDeterminant());
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$this->assertEquals(0, $c->getDeterminant());
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$d = new SquareMatrix(12, 15,
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$d = new SquareMatrix(12, 15,
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17, 21);
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17, 21);
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$this->assertEquals(12 * 21 - 15 * 17, $d->getDeterminant());
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$this->assertEquals(12 * 21 - 15 * 17, $d->getDeterminant());
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}
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}
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@ -33,13 +33,14 @@ class MatrixTest extends TestCase
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public function testThreeByThreeDeterminant()
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public function testThreeByThreeDeterminant()
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{
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{
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$a = new SquareMatrix(1, 2, 3,
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$a = new SquareMatrix(1, 2, 3,
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4, 5, 6,
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4, 5, 6,
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7, 8, 9);
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7, 8, 9);
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$this->assertEquals(0, $a->getDeterminant());
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$this->assertEquals(0, $a->getDeterminant());
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$pi = new SquareMatrix(3, 1, 4,
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$pi = new SquareMatrix(3, 1, 4,
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1, 5, 9,
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1, 5, 9,
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2, 6, 5);
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2, 6, 5);
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// Verified against http://www.wolframalpha.com/input/?i=determinant+%7B%7B3%2C1%2C4%7D%2C%7B1%2C5%2C9%7D%2C%7B2%2C6%2C5%7D%7D
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// Verified against http://www.wolframalpha.com/input/?i=determinant+%7B%7B3%2C1%2C4%7D%2C%7B1%2C5%2C9%7D%2C%7B2%2C6%2C5%7D%7D
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$this->assertEquals(-90, $pi->getDeterminant());
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$this->assertEquals(-90, $pi->getDeterminant());
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@ -47,17 +48,17 @@ class MatrixTest extends TestCase
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public function testFourByFourDeterminant()
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public function testFourByFourDeterminant()
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{
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{
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$a = new SquareMatrix(1, 2, 3, 4,
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$a = new SquareMatrix( 1, 2, 3, 4,
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5, 6, 7, 8,
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5, 6, 7, 8,
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9, 10, 11, 12,
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9, 10, 11, 12,
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13, 14, 15, 16);
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13, 14, 15, 16);
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$this->assertEquals(0, $a->getDeterminant());
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$this->assertEquals(0, $a->getDeterminant());
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$pi = new SquareMatrix(3, 1, 4, 1,
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$pi = new SquareMatrix(3, 1, 4, 1,
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5, 9, 2, 6,
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5, 9, 2, 6,
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5, 3, 5, 8,
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5, 3, 5, 8,
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9, 7, 9, 3);
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9, 7, 9, 3);
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// Verified against http://www.wolframalpha.com/input/?i=determinant+%7B+%7B3%2C1%2C4%2C1%7D%2C+%7B5%2C9%2C2%2C6%7D%2C+%7B5%2C3%2C5%2C8%7D%2C+%7B9%2C7%2C9%2C3%7D%7D
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// Verified against http://www.wolframalpha.com/input/?i=determinant+%7B+%7B3%2C1%2C4%2C1%7D%2C+%7B5%2C9%2C2%2C6%7D%2C+%7B5%2C3%2C5%2C8%7D%2C+%7B9%2C7%2C9%2C3%7D%7D
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$this->assertEquals(98, $pi->getDeterminant());
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$this->assertEquals(98, $pi->getDeterminant());
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@ -65,25 +66,25 @@ class MatrixTest extends TestCase
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public function testEightByEightDeterminant()
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public function testEightByEightDeterminant()
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{
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{
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$a = new SquareMatrix(1, 2, 3, 4, 5, 6, 7, 8,
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$a = new SquareMatrix( 1, 2, 3, 4, 5, 6, 7, 8,
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9, 10, 11, 12, 13, 14, 15, 16,
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9, 10, 11, 12, 13, 14, 15, 16,
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17, 18, 19, 20, 21, 22, 23, 24,
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17, 18, 19, 20, 21, 22, 23, 24,
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25, 26, 27, 28, 29, 30, 31, 32,
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25, 26, 27, 28, 29, 30, 31, 32,
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33, 34, 35, 36, 37, 38, 39, 40,
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33, 34, 35, 36, 37, 38, 39, 40,
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41, 42, 32, 44, 45, 46, 47, 48,
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41, 42, 32, 44, 45, 46, 47, 48,
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49, 50, 51, 52, 53, 54, 55, 56,
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49, 50, 51, 52, 53, 54, 55, 56,
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57, 58, 59, 60, 61, 62, 63, 64);
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57, 58, 59, 60, 61, 62, 63, 64);
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$this->assertEquals(0, $a->getDeterminant());
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$this->assertEquals(0, $a->getDeterminant());
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$pi = new SquareMatrix(3, 1, 4, 1, 5, 9, 2, 6,
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$pi = new SquareMatrix(3, 1, 4, 1, 5, 9, 2, 6,
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5, 3, 5, 8, 9, 7, 9, 3,
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5, 3, 5, 8, 9, 7, 9, 3,
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2, 3, 8, 4, 6, 2, 6, 4,
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2, 3, 8, 4, 6, 2, 6, 4,
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3, 3, 8, 3, 2, 7, 9, 5,
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3, 3, 8, 3, 2, 7, 9, 5,
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0, 2, 8, 8, 4, 1, 9, 7,
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0, 2, 8, 8, 4, 1, 9, 7,
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1, 6, 9, 3, 9, 9, 3, 7,
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1, 6, 9, 3, 9, 9, 3, 7,
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5, 1, 0, 5, 8, 2, 0, 9,
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5, 1, 0, 5, 8, 2, 0, 9,
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7, 4, 9, 4, 4, 5, 9, 2);
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7, 4, 9, 4, 4, 5, 9, 2);
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// Verified against http://www.wolframalpha.com/input/?i=det+%7B%7B3%2C1%2C4%2C1%2C5%2C9%2C2%2C6%7D%2C%7B5%2C3%2C5%2C8%2C9%2C7%2C9%2C3%7D%2C%7B2%2C3%2C8%2C4%2C6%2C2%2C6%2C4%7D%2C%7B3%2C3%2C8%2C3%2C2%2C7%2C9%2C5%7D%2C%7B0%2C2%2C8%2C8%2C4%2C1%2C9%2C7%7D%2C%7B1%2C6%2C9%2C3%2C9%2C9%2C3%2C7%7D%2C%7B5%2C1%2C0%2C5%2C8%2C2%2C0%2C9%7D%2C%7B7%2C4%2C9%2C4%2C4%2C5%2C9%2C2%7D%7D
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// Verified against http://www.wolframalpha.com/input/?i=det+%7B%7B3%2C1%2C4%2C1%2C5%2C9%2C2%2C6%7D%2C%7B5%2C3%2C5%2C8%2C9%2C7%2C9%2C3%7D%2C%7B2%2C3%2C8%2C4%2C6%2C2%2C6%2C4%7D%2C%7B3%2C3%2C8%2C3%2C2%2C7%2C9%2C5%7D%2C%7B0%2C2%2C8%2C8%2C4%2C1%2C9%2C7%7D%2C%7B1%2C6%2C9%2C3%2C9%2C9%2C3%2C7%7D%2C%7B5%2C1%2C0%2C5%2C8%2C2%2C0%2C9%7D%2C%7B7%2C4%2C9%2C4%2C4%2C5%2C9%2C2%7D%7D
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$this->assertEquals(1378143, $pi->getDeterminant());
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$this->assertEquals(1378143, $pi->getDeterminant());
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@ -92,37 +93,37 @@ class MatrixTest extends TestCase
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public function testEquals()
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public function testEquals()
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{
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{
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$a = new SquareMatrix(1, 2,
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$a = new SquareMatrix(1, 2,
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3, 4);
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3, 4);
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$b = new SquareMatrix(1, 2,
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$b = new SquareMatrix(1, 2,
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3, 4);
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3, 4);
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$this->assertTrue($a->equals($b));
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$this->assertTrue($a->equals($b));
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$c = Matrix::fromRowsColumns(2, 3,
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$c = Matrix::fromRowsColumns(2, 3,
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1, 2, 3,
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1, 2, 3,
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4, 5, 6);
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4, 5, 6);
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$d = Matrix::fromRowsColumns(2, 3,
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$d = Matrix::fromRowsColumns(2, 3,
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1, 2, 3,
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1, 2, 3,
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4, 5, 6);
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4, 5, 6);
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$this->assertTrue($c->equals($d));
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$this->assertTrue($c->equals($d));
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$e = Matrix::fromRowsColumns(3, 2,
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$e = Matrix::fromRowsColumns(3, 2,
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1, 4,
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1, 4,
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2, 5,
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2, 5,
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3, 6);
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3, 6);
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$f = $e->getTranspose();
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$f = $e->getTranspose();
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$this->assertTrue($d->equals($f));
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$this->assertTrue($d->equals($f));
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// Test rounding (thanks to nsp on GitHub for finding this case)
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// Test rounding (thanks to nsp on GitHub for finding this case)
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$g = new SquareMatrix(1, 2.00000000000001,
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$g = new SquareMatrix(1, 2.00000000000001,
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3, 4);
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3, 4);
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$h = new SquareMatrix(1, 2,
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$h = new SquareMatrix(1, 2,
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3, 4);
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3, 4);
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$this->assertTrue($g->equals($h));
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$this->assertTrue($g->equals($h));
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}
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}
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@ -131,21 +132,21 @@ class MatrixTest extends TestCase
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{
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{
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// From Wikipedia: http://en.wikipedia.org/wiki/Adjugate_matrix
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// From Wikipedia: http://en.wikipedia.org/wiki/Adjugate_matrix
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$a = new SquareMatrix(1, 2,
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$a = new SquareMatrix(1, 2,
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3, 4);
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3, 4);
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$b = new SquareMatrix(4, -2,
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$b = new SquareMatrix( 4, -2,
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-3, 1);
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-3, 1);
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$this->assertTrue($b->equals($a->getAdjugate()));
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$this->assertTrue($b->equals($a->getAdjugate()));
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$c = new SquareMatrix(-3, 2, -5,
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$c = new SquareMatrix(-3, 2, -5,
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-1, 0, -2,
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-1, 0, -2,
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3, -4, 1);
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3, -4, 1);
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$d = new SquareMatrix(-8, 18, -4,
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$d = new SquareMatrix(-8, 18, -4,
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-5, 12, -1,
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-5, 12, -1,
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4, -6, 2);
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4, -6, 2);
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$this->assertTrue($d->equals($c->getAdjugate()));
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$this->assertTrue($d->equals($c->getAdjugate()));
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}
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}
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@ -154,10 +155,10 @@ class MatrixTest extends TestCase
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{
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{
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// see http://www.mathwords.com/i/inverse_of_a_matrix.htm
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// see http://www.mathwords.com/i/inverse_of_a_matrix.htm
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$a = new SquareMatrix(4, 3,
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$a = new SquareMatrix(4, 3,
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3, 2);
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3, 2);
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$b = new SquareMatrix(-2, 3,
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$b = new SquareMatrix(-2, 3,
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3, -4);
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3, -4);
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$aInverse = $a->getInverse();
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$aInverse = $a->getInverse();
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$this->assertTrue($b->equals($aInverse));
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$this->assertTrue($b->equals($aInverse));
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@ -168,13 +169,13 @@ class MatrixTest extends TestCase
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$this->assertTrue($identity2x2->equals($aaInverse));
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$this->assertTrue($identity2x2->equals($aaInverse));
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$c = new SquareMatrix(1, 2, 3,
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$c = new SquareMatrix(1, 2, 3,
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0, 4, 5,
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0, 4, 5,
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1, 0, 6);
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1, 0, 6);
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$cInverse = $c->getInverse();
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$cInverse = $c->getInverse();
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$d = Matrix::scalarMultiply((1.0 / 22), new SquareMatrix(24, -12, -2,
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$d = Matrix::scalarMultiply((1.0 / 22), new SquareMatrix(24, -12, -2,
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5, 3, -5,
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5, 3, -5,
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-4, 2, 4));
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-4, 2, 4));
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$this->assertTrue($d->equals($cInverse));
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$this->assertTrue($d->equals($cInverse));
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