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<?php |
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declare(strict_types=1); |
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namespace Np; |
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use Np\core\{ |
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nd, |
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blas, |
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lapack |
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}; |
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use Np\exceptions\{ |
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invalidArgumentException, |
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}; |
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/** A fast lite memory efficient Scientific Computing in php |
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* Vector (rank-1) |
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* |
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* @package NumPhp |
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* @version V0.0.alpha |
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* @category Php Scientific Library |
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* @author ghost (Shubham Chaudhary) |
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* @email [email protected] |
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* @copyright (c) 2020-2021, Shubham Chaudhary |
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* |
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*/ |
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class vector extends nd { |
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/** |
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* Factory method to build a new vector. |
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* |
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* @param int $col |
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* @param int $dtype |
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* @return vector |
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*/ |
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public static function factory(int $col, int $dtype = self::FLOAT): vector { |
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return new self($col, $dtype); |
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} |
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/** |
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* Build a new vector from a php array. |
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* |
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* @param array $data |
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* @param int $dtype |
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* @return vector |
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*/ |
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public static function ar(array $data, int $dtype = self::FLOAT): vector { |
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if (is_array($data) && !is_array($data[0])) { |
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$ar = self::factory(count($data), $dtype); |
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$ar->setData($data); |
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return $ar; |
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} else { |
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self::_err('data must be of same dimensions'); |
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} |
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} |
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/** |
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* Return vector with random values |
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* @param int $col |
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* @param int $dtype |
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* @return vector |
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*/ |
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public static function randn(int $col, int $dtype = self::FLOAT): vector { |
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$ar = self::factory($col, $dtype); |
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$max = getrandmax(); |
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for ($i = 0; $i < $ar->col; ++$i) { |
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$ar->data[$i] = rand() / $max; |
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} |
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return $ar; |
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} |
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/** |
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* Return vector with uniform values |
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* @param int $col |
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* @param int $dtype |
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* @return vector |
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*/ |
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public static function uniform(int $col, int $dtype = self::FLOAT): vector { |
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$ar = self::factory($col, $dtype); |
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$max = getrandmax(); |
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for ($i = 0; $i < $col; ++$i) { |
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$ar->data[$i] = rand(-$max, $max) / $max; |
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} |
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return $ar; |
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} |
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/** |
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* Build a vector of zeros with n elements. |
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* |
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* @param int $col |
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* @param int $dtype |
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* @return vector |
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*/ |
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public static function zeros(int $col, int $dtype = self::FLOAT): vector { |
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$ar = self::factory($col, $dtype); |
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for ($i = 0; $i < $col; ++$i) { |
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$ar->data[$i] = 0; |
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} |
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return $ar; |
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} |
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/** |
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* create one like vector |
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* |
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* @param int $col |
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* @return vector |
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*/ |
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public static function ones(int $col, int $dtype = self::FLOAT): vector { |
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$ar = self::factory($col, $dtype); |
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for ($i = 0; $i < $col; ++$i) { |
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$ar->data[$i] = 1; |
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} |
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return $ar; |
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} |
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/** |
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* create a null like vector |
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* @param int $col |
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* @return vector |
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*/ |
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public static function null(int $col, int $dtype = self::FLOAT): vector { |
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$ar = self::factory($col, $dtype); |
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for ($i = 0; $i < $col; ++$i) { |
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$ar->data[$i] = null; |
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} |
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return $ar; |
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} |
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/** |
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* create a vector with given scalar value |
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* @param int $col |
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* @param int|float|double $val |
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* @param int $dtype |
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* @return vector |
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*/ |
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public static function full(int $col, int|float $val, int $dtype = self::FLOAT): vector { |
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$ar = self::factory($col, $dtype); |
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for ($i = 0; $i < $col; ++$i) { |
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$ar->data[$i] = $val; |
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} |
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return $ar; |
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} |
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/** |
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* Return evenly spaced values within a given interval. |
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* |
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* @param int|float $start |
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* @param int|float $end |
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* @param int|float $interval |
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* @param int $dtype |
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* @return vector |
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*/ |
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public static function range(int|float $start, int|float $end, int|float $interval = 1, int $dtype = self::FLOAT): vector { |
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return self::ar(range($start, $end, $interval), $dtype); |
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} |
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/** |
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* Return a Gaussian random vector with mean 0 |
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* and unit variance. |
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* |
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* @param int $n |
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* @param int $dtype |
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* @return self |
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*/ |
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public static function gaussian(int $n, int $dtype = self::FLOAT): vector { |
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$max = getrandmax(); |
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$a = []; |
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while (count($a) < $n) { |
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$r = sqrt(-2.0 * log(rand() / $max)); |
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$phi = rand() / $max * (2. * M_PI); |
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$a[] = $r * sin($phi); |
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$a[] = $r * cos($phi); |
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} |
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if (count($a) > $n) { |
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$a = array_slice($a, 0, $n); |
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} |
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return self::ar($a, $dtype); |
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} |
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/** |
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* Generate a vector with n elements from a Poisson distribution. |
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* |
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* @param int $n |
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* @param float $lambda |
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* @param int $dtype |
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* @return vector |
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*/ |
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public static function poisson(int $n, float $lambda = 1.0, int $dtype = self::FLOAT): vector { |
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$max = getrandmax(); |
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$l = exp(-$lambda); |
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$a = new self($n, $dtype); |
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for ($i = 0; $i < $n; ++$i) { |
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$k = 0; |
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$p = 1.0; |
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while ($p > $l) { |
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++$k; |
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$p *= rand() / $max; |
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} |
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$a->data[$i] = $k - 1; |
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} |
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return $a; |
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} |
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/** |
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* Return a vector of n evenly spaced numbers between minimum and maximum. |
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* |
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* @param float $min |
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* @param float $max |
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* @param int $n |
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* @param int $dtype |
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* @throws invalidArgumentException |
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* @return vector |
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*/ |
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public static function linspace(float $min, float $max, int $n, int $dtype = self::FLOAT): vector { |
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if ($min > $max) { |
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throw new invalidArgumentException('Minimum must be less than maximum.'); |
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} |
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if ($n < 2) { |
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throw new invalidArgumentException('Number of elements must be greater than 1.'); |
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} |
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$k = $n - 1; |
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$interval = abs($max - $min) / $k; |
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$a = [$min]; |
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while (count($a) < $k) { |
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$a[] = end($a) + $interval; |
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} |
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$a[] = $max; |
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return self::ar($a, $dtype); |
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} |
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/** |
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* make a copy of vector |
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* @return vector |
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*/ |
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public function copyVector(): vector { |
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return clone $this; |
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} |
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/** |
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* Return the element-wise maximum of given vector with current vector |
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* |
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* @param \Np\vector $vector |
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* @return vector |
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*/ |
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public function maximum(\Np\vector $vector): vector { |
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if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
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$v = new self($this->ndim, $this->dtype); |
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for ($i = 0; $i < $v->ndim; ++$i) { |
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$v->data[$i] = max($this->data[$i], $vector->data[$i]); |
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} |
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return $v; |
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} |
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} |
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/** |
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* Return the element-wise minium of given vector with current vector |
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* |
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* @param \Np\vector $vector |
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* @return vector |
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*/ |
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public function minium(\Np\vector $vector): vector { |
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if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
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$v = new self($this->ndim, $this->dtype); |
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for ($i = 0; $i < $v->ndim; ++$i) { |
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$v->data[$i] = min($this->data[$i], $vector->data[$i]); |
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} |
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return $v; |
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} |
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} |
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/** |
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* Return the index of the minimum element in the vector. |
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* |
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* @return int |
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*/ |
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public function argMin(): int { |
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return blas::min($this); |
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} |
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/** |
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* Return the index of the maximum element in the vector. |
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* |
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* @return int |
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*/ |
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public function argMx(): int { |
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return blas::max($this); |
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} |
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/** |
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* vector-vector dot product |
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* @param \Np\vector $vector |
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* @param int $incX |
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* @param int $incY |
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* @return vector |
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*/ |
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public function dotVector(\Np\vector $v) { |
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if ($this->checkDtype($this, $v)) { |
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return blas::dot($this, $v); |
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} |
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} |
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/** |
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* The sum of the vector. |
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* @return float |
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*/ |
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public function sum(): float { |
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return blas::asum($this); |
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} |
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/** |
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* Return the product of the vector. |
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* @return int|float |
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*/ |
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public function product(): float { |
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$r = 1.0; |
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for ($i = 0; $i < $this->col; ++$i) { |
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$r *= $this->data[$i]; |
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} |
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return $r; |
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} |
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322
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/** |
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323
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* Compute the vector-matrix dot product of this vector and matrix . |
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324
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* @param \Np\matrix $m |
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* @return vector |
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326
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*/ |
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327
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public function dotMatrix(\Np\matrix $m): vector { |
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328
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if ($this->checkDtype($this, $m)) { |
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329
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$mvr = self::factory($this->col, $this->dtype); |
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330
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core\blas::gemv($m, $this, $mvr); |
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return $mvr; |
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} |
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} |
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/** |
|
336
|
|
|
* |
|
337
|
|
|
* @param int|float|matrix|vector $d |
|
338
|
|
|
* @return matrix|vector |
|
339
|
|
|
*/ |
|
340
|
|
|
public function divide(int|float|matrix|vector $d): matrix|vector { |
|
341
|
|
|
if ($d instanceof matrix) { |
|
342
|
|
|
return $this->divideMatrix($d); |
|
343
|
|
|
} elseif ($d instanceof self) { |
|
344
|
|
|
return $this->divideVector($d); |
|
345
|
|
|
} else { |
|
346
|
|
|
return $this->divideScalar($d); |
|
347
|
|
|
} |
|
348
|
|
|
} |
|
349
|
|
|
|
|
350
|
|
|
/** |
|
351
|
|
|
* |
|
352
|
|
|
* @param \Np\matrix $m |
|
353
|
|
|
* @return matrix |
|
354
|
|
|
*/ |
|
355
|
|
|
protected function divideMatrix(\Np\matrix $m): matrix { |
|
356
|
|
|
if ($this->checkShape($this, $m) && $this->checkDtype($this, $m)) { |
|
357
|
|
|
$vr = matrix::factory($m->row, $m->col, $m->dtype); |
|
358
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
|
359
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
|
360
|
|
|
$vr->data[$i * $m->col + $j] = $this->data[$j] / $m->data[$i * $m->col + $j]; |
|
361
|
|
|
} |
|
362
|
|
|
} |
|
363
|
|
|
return $vr; |
|
364
|
|
|
} |
|
365
|
|
|
} |
|
366
|
|
|
|
|
367
|
|
|
/** |
|
368
|
|
|
* |
|
369
|
|
|
* @param vector $v |
|
370
|
|
|
* @return vector |
|
371
|
|
|
*/ |
|
372
|
|
|
protected function divideVector(vector $v): vector { |
|
373
|
|
|
if ($this->checkShape($this, $v) && $this->checkDtype($this, $v)) { |
|
374
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
375
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
376
|
|
|
$vr->data[$i] = $this->data[$i] / $v->data[$i]; |
|
377
|
|
|
} |
|
378
|
|
|
return $vr; |
|
379
|
|
|
} |
|
380
|
|
|
} |
|
381
|
|
|
|
|
382
|
|
|
/** |
|
383
|
|
|
* |
|
384
|
|
|
* @param int|float $s |
|
385
|
|
|
* @return vector |
|
386
|
|
|
*/ |
|
387
|
|
|
protected function divideScalar(int|float $s): vector { |
|
388
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
389
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
390
|
|
|
$vr->data[$i] = $this->data[$i] / $s; |
|
391
|
|
|
} |
|
392
|
|
|
return $vr; |
|
393
|
|
|
} |
|
394
|
|
|
|
|
395
|
|
|
/** |
|
396
|
|
|
* |
|
397
|
|
|
* @param int|float|matrix|vector $d |
|
398
|
|
|
* @return matrix|vector |
|
399
|
|
|
*/ |
|
400
|
|
|
public function multiply(int|float|matrix|vector $d): matrix|vector { |
|
401
|
|
|
if ($d instanceof matrix) { |
|
402
|
|
|
return $this->multiplyMatrix($d); |
|
403
|
|
|
} elseif ($d instanceof self) { |
|
404
|
|
|
return $this->multiplyVector($d); |
|
405
|
|
|
} else { |
|
406
|
|
|
return $this->multiplyScalar($d); |
|
407
|
|
|
} |
|
408
|
|
|
} |
|
409
|
|
|
|
|
410
|
|
|
/** |
|
411
|
|
|
* |
|
412
|
|
|
* @param \Np\matrix $m |
|
413
|
|
|
* @return matrix |
|
414
|
|
|
*/ |
|
415
|
|
|
protected function multiplyMatrix(\Np\matrix $m): matrix { |
|
416
|
|
|
if ($this->checkShape($this, $m) && $this->checkDtype($this, $m)) { |
|
417
|
|
|
$vr = matrix::factory($m->row, $m->col, $m->dtype); |
|
418
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
|
419
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
|
420
|
|
|
$vr->data[$i * $m->col + $j] = $this->data[$j] * $m->data[$i * $m->col + $j]; |
|
421
|
|
|
} |
|
422
|
|
|
} |
|
423
|
|
|
return $vr; |
|
424
|
|
|
} |
|
425
|
|
|
} |
|
426
|
|
|
|
|
427
|
|
|
/** |
|
428
|
|
|
* |
|
429
|
|
|
* @param \Np\vector $vector |
|
430
|
|
|
* @return vector |
|
431
|
|
|
*/ |
|
432
|
|
|
protected function multiplyVector(\Np\vector $vector): vector { |
|
433
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
|
434
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
435
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
436
|
|
|
$vr->data[$i] = $this->data[$i] * $vector->data[$i]; |
|
437
|
|
|
} |
|
438
|
|
|
return $vr; |
|
439
|
|
|
} |
|
440
|
|
|
} |
|
441
|
|
|
|
|
442
|
|
|
/** |
|
443
|
|
|
* |
|
444
|
|
|
* @param int|float $s |
|
445
|
|
|
* @return vector |
|
446
|
|
|
*/ |
|
447
|
|
|
protected function multiplyScalar(int|float $s): vector { |
|
448
|
|
|
$vr = $this->copyVector(); |
|
449
|
|
|
blas::scale($s, $vr); |
|
450
|
|
|
return $vr; |
|
451
|
|
|
} |
|
452
|
|
|
|
|
453
|
|
|
/** |
|
454
|
|
|
* |
|
455
|
|
|
* @param int|float|matrix|vector $d |
|
456
|
|
|
* @return matrix|vector |
|
457
|
|
|
*/ |
|
458
|
|
|
public function add(int|float|matrix|vector $d): matrix|vector { |
|
459
|
|
|
if ($d instanceof matrix) { |
|
460
|
|
|
return $this->addMatrix($d); |
|
461
|
|
|
} elseif ($d instanceof self) { |
|
462
|
|
|
return $this->addVector($d); |
|
463
|
|
|
} else { |
|
464
|
|
|
return $this->addScalar($d); |
|
465
|
|
|
} |
|
466
|
|
|
} |
|
467
|
|
|
|
|
468
|
|
|
/** |
|
469
|
|
|
* |
|
470
|
|
|
* @param \Np\matrix $m |
|
471
|
|
|
* @return matrix |
|
472
|
|
|
*/ |
|
473
|
|
|
protected function addMatrix(\Np\matrix $m): matrix { |
|
474
|
|
|
if ($this->checkShape($this, $m) && $this->checkDtype($this, $m)) { |
|
475
|
|
|
$vr = matrix::factory($m->row, $m->col, $m->dtype); |
|
476
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
|
477
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
|
478
|
|
|
$vr->data[$i * $m->col + $j] = $this->data[$j] + $m->data[$i * $m->col + $j]; |
|
479
|
|
|
} |
|
480
|
|
|
} |
|
481
|
|
|
return $vr; |
|
482
|
|
|
} |
|
483
|
|
|
} |
|
484
|
|
|
|
|
485
|
|
|
/** |
|
486
|
|
|
* |
|
487
|
|
|
* @param \Np\vector $vector |
|
488
|
|
|
* @return vector |
|
489
|
|
|
*/ |
|
490
|
|
|
protected function addVector(\Np\vector $vector): vector { |
|
491
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
|
492
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
493
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
494
|
|
|
$vr->data[$i] = $this->data[$i] + $vector->data[$i]; |
|
495
|
|
|
} |
|
496
|
|
|
return $vr; |
|
497
|
|
|
} |
|
498
|
|
|
} |
|
499
|
|
|
|
|
500
|
|
|
/** |
|
501
|
|
|
* |
|
502
|
|
|
* @param int|float $s |
|
503
|
|
|
* @return vector |
|
504
|
|
|
*/ |
|
505
|
|
|
protected function addScalar(int|float $s): vector { |
|
506
|
|
|
$vr = $this->copyVector(); |
|
507
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
508
|
|
|
$vr->data[$i] += $s; |
|
509
|
|
|
} |
|
510
|
|
|
return $vr; |
|
511
|
|
|
} |
|
512
|
|
|
|
|
513
|
|
|
/** |
|
514
|
|
|
* |
|
515
|
|
|
* @param int|float|\Np\matrix|\Np\vector $d |
|
516
|
|
|
* @return matrix|vector |
|
517
|
|
|
*/ |
|
518
|
|
|
public function pow(int|float|\Np\matrix|\Np\vector $d): matrix|vector { |
|
519
|
|
|
if ($d instanceof matrix) { |
|
520
|
|
|
return $this->powMatrix($d); |
|
521
|
|
|
} elseif ($d instanceof vector) { |
|
522
|
|
|
return $this->powVector($d); |
|
523
|
|
|
} else { |
|
524
|
|
|
return $this->powScalar($d); |
|
525
|
|
|
} |
|
526
|
|
|
} |
|
527
|
|
|
|
|
528
|
|
|
/** |
|
529
|
|
|
* |
|
530
|
|
|
* @param \Np\matrix $m |
|
531
|
|
|
* @return matrix |
|
532
|
|
|
*/ |
|
533
|
|
|
protected function powMatrix(\Np\matrix $m): matrix { |
|
534
|
|
|
if ($this->checkDimensions($this, $m) && $this->checkDtype($this, $m)) { |
|
535
|
|
|
$ar = matrix::factory($m->row, $m->col, $this->dtype); |
|
536
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
|
537
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
|
538
|
|
|
$ar->data[$i * $m->col + $j] = $m->data[$i * $m->col + $j] ** $this->data[$j]; |
|
539
|
|
|
} |
|
540
|
|
|
} |
|
541
|
|
|
return $ar; |
|
542
|
|
|
} |
|
543
|
|
|
} |
|
544
|
|
|
|
|
545
|
|
|
/** |
|
546
|
|
|
* |
|
547
|
|
|
* @param \Np\vector $vector |
|
548
|
|
|
* @return vector |
|
549
|
|
|
*/ |
|
550
|
|
|
protected function powVector(\Np\vector $vector): vector { |
|
551
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
|
552
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
553
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
554
|
|
|
$vr->data[$i] = $this->data[$i] ** $vector->data[$i]; |
|
555
|
|
|
} |
|
556
|
|
|
return $vr; |
|
557
|
|
|
} |
|
558
|
|
|
} |
|
559
|
|
|
|
|
560
|
|
|
/** |
|
561
|
|
|
* |
|
562
|
|
|
* @param int|float $s |
|
563
|
|
|
* @return vector |
|
564
|
|
|
*/ |
|
565
|
|
|
protected function powScalar(int|float $s): vector { |
|
566
|
|
|
$v = $this->copyVector(); |
|
567
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
568
|
|
|
$v->data[$i] = $v->data[$i] ** $s; |
|
569
|
|
|
} |
|
570
|
|
|
return $v; |
|
571
|
|
|
} |
|
572
|
|
|
|
|
573
|
|
|
/** |
|
574
|
|
|
* |
|
575
|
|
|
* @param int|float|\Np\matrix|\Np\vector $d |
|
576
|
|
|
* @return matrix|vector |
|
577
|
|
|
*/ |
|
578
|
|
|
public function mod(int|float|\Np\matrix|\Np\vector $d): matrix|vector { |
|
579
|
|
|
if ($d instanceof matrix) { |
|
580
|
|
|
return $this->powMatrix($d); |
|
581
|
|
|
} elseif ($d instanceof vector) { |
|
582
|
|
|
return $this->powVector($d); |
|
583
|
|
|
} else { |
|
584
|
|
|
return $this->powScalar($d); |
|
585
|
|
|
} |
|
586
|
|
|
} |
|
587
|
|
|
|
|
588
|
|
|
/** |
|
589
|
|
|
* |
|
590
|
|
|
* @param \Np\matrix $m |
|
591
|
|
|
* @return matrix |
|
592
|
|
|
*/ |
|
593
|
|
|
protected function modMatrix(\Np\matrix $m): matrix { |
|
594
|
|
|
if ($this->checkDimensions($this, $m) && $this->checkDtype($this, $m)) { |
|
595
|
|
|
$ar = matrix::factory($m->row, $m->col, $this->dtype); |
|
596
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
|
597
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
|
598
|
|
|
$ar->data[$i * $m->col + $j] = $m->data[$i * $m->col + $j] % $this->data[$j]; |
|
599
|
|
|
} |
|
600
|
|
|
} |
|
601
|
|
|
return $ar; |
|
602
|
|
|
} |
|
603
|
|
|
} |
|
604
|
|
|
|
|
605
|
|
|
/** |
|
606
|
|
|
* |
|
607
|
|
|
* @param \Np\vector $vector |
|
608
|
|
|
* @return vector |
|
609
|
|
|
*/ |
|
610
|
|
|
protected function modVector(\Np\vector $vector): vector { |
|
611
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
|
612
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
613
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
614
|
|
|
$vr->data[$i] = $this->data[$i] % $vector->data[$i]; |
|
615
|
|
|
} |
|
616
|
|
|
return $vr; |
|
617
|
|
|
} |
|
618
|
|
|
} |
|
619
|
|
|
|
|
620
|
|
|
/** |
|
621
|
|
|
* |
|
622
|
|
|
* @param int|float $s |
|
623
|
|
|
*/ |
|
624
|
|
|
protected function modScalar(int|float $s) { |
|
625
|
|
|
$v = $this->copyVector(); |
|
626
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
627
|
|
|
$v->data[$i] = $v->data[$i] % $s; |
|
628
|
|
|
} |
|
629
|
|
|
} |
|
630
|
|
|
|
|
631
|
|
|
/** |
|
632
|
|
|
* |
|
633
|
|
|
* @param int|float|matrix|vector $d |
|
634
|
|
|
* @return matrix|vector |
|
635
|
|
|
*/ |
|
636
|
|
|
public function subtract(int|float|matrix|vector $d): matrix|vector { |
|
637
|
|
|
if ($d instanceof matrix) { |
|
638
|
|
|
return $this->subtractMatrix($d); |
|
639
|
|
|
} elseif ($d instanceof self) { |
|
640
|
|
|
return $this->subtractVector($d); |
|
641
|
|
|
} else { |
|
642
|
|
|
return $this->substractScalar($d); |
|
643
|
|
|
} |
|
644
|
|
|
} |
|
645
|
|
|
|
|
646
|
|
|
/** |
|
647
|
|
|
* |
|
648
|
|
|
* @param \Np\matrix $m |
|
649
|
|
|
* @return matrix |
|
650
|
|
|
*/ |
|
651
|
|
|
protected function subtractMatrix(\Np\matrix $m): matrix { |
|
652
|
|
|
if ($this->checkShape($this, $m) && $this->checkDtype($this, $m)) { |
|
653
|
|
|
$vr = matrix::factory($m->row, $m->col, $m->dtype); |
|
654
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
|
655
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
|
656
|
|
|
$vr->data[$i * $m->col + $j] = $this->data[$j] - $m->data[$i * $m->col + $j]; |
|
657
|
|
|
} |
|
658
|
|
|
} |
|
659
|
|
|
return $vr; |
|
660
|
|
|
} |
|
661
|
|
|
} |
|
662
|
|
|
|
|
663
|
|
|
/** |
|
664
|
|
|
* |
|
665
|
|
|
* @param \Np\vector $vector |
|
666
|
|
|
* @return vector |
|
667
|
|
|
*/ |
|
668
|
|
|
protected function subtractVector(\Np\vector $vector): vector { |
|
669
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
|
670
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
671
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
672
|
|
|
$vr->data[$i] = $this->data[$i] - $vector->data[$i]; |
|
673
|
|
|
} |
|
674
|
|
|
return $vr; |
|
675
|
|
|
} |
|
676
|
|
|
} |
|
677
|
|
|
|
|
678
|
|
|
/** |
|
679
|
|
|
* |
|
680
|
|
|
* @param \Np\vector $scalar |
|
681
|
|
|
* @return \Np\vector |
|
682
|
|
|
*/ |
|
683
|
|
|
protected function substractScalar(int|float $scalar): vector { |
|
684
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
685
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
686
|
|
|
$vr->data[$i] = $this->data[$i] - $scalar; |
|
687
|
|
|
} |
|
688
|
|
|
return $vr; |
|
689
|
|
|
} |
|
690
|
|
|
|
|
691
|
|
|
/** |
|
692
|
|
|
* |
|
693
|
|
|
* @param \Np\vector $v |
|
694
|
|
|
* @param int $stride |
|
695
|
|
|
* @return vector |
|
696
|
|
|
*/ |
|
697
|
|
|
public function convolve(\Np\vector $v, int $stride = 1): vector { |
|
698
|
|
|
return convolve::conv1D($this, $v, $stride); |
|
699
|
|
|
} |
|
700
|
|
|
|
|
701
|
|
|
/** |
|
702
|
|
|
* Run a function over all of the elements in the vector. |
|
703
|
|
|
* |
|
704
|
|
|
* @param callable $func |
|
705
|
|
|
* @return vector |
|
706
|
|
|
*/ |
|
707
|
|
|
public function map(callable $func): vector { |
|
708
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
709
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
710
|
|
|
$vr->data[$i] = $func($this->data[$i]); |
|
711
|
|
|
} |
|
712
|
|
|
return $vr; |
|
713
|
|
|
} |
|
714
|
|
|
|
|
715
|
|
|
public function log(float $b = M_E): vector { |
|
716
|
|
|
$vr = $this->copyVector(); |
|
717
|
|
|
for ($i = 0; $i < $vr->col; ++$i) { |
|
718
|
|
|
log($vr->data[$i], $b); |
|
719
|
|
|
} |
|
720
|
|
|
return $vr; |
|
721
|
|
|
} |
|
722
|
|
|
|
|
723
|
|
|
public function max() { |
|
724
|
|
|
return $this->data[blas::max($this)]; |
|
725
|
|
|
} |
|
726
|
|
|
|
|
727
|
|
|
public function min() { |
|
728
|
|
|
$this->data[blas::min($this)]; |
|
729
|
|
|
} |
|
730
|
|
|
|
|
731
|
|
|
public function abs(): vector { |
|
732
|
|
|
return $this->map('abs'); |
|
733
|
|
|
} |
|
734
|
|
|
|
|
735
|
|
|
public function sqrt(): vector { |
|
736
|
|
|
return $this->map('sqrt'); |
|
737
|
|
|
} |
|
738
|
|
|
|
|
739
|
|
|
public function exp(): vector { |
|
740
|
|
|
return $this->map('exp'); |
|
741
|
|
|
} |
|
742
|
|
|
|
|
743
|
|
|
public function exp1(): vector { |
|
744
|
|
|
return $this->map('exp1'); |
|
745
|
|
|
} |
|
746
|
|
|
|
|
747
|
|
|
public function log1p(): vector { |
|
748
|
|
|
return $this->map('log1p'); |
|
749
|
|
|
} |
|
750
|
|
|
|
|
751
|
|
|
public function sin(): vector { |
|
752
|
|
|
return $this->map('sin'); |
|
753
|
|
|
} |
|
754
|
|
|
|
|
755
|
|
|
public function asin(): vector { |
|
756
|
|
|
return $this->map('asin'); |
|
757
|
|
|
} |
|
758
|
|
|
|
|
759
|
|
|
public function cos(): vector { |
|
760
|
|
|
return $this->map('cos'); |
|
761
|
|
|
} |
|
762
|
|
|
|
|
763
|
|
|
public function acos(): vector { |
|
764
|
|
|
return $this->map('acos'); |
|
765
|
|
|
} |
|
766
|
|
|
|
|
767
|
|
|
public function tan(): vector { |
|
768
|
|
|
return $this->map('tan'); |
|
769
|
|
|
} |
|
770
|
|
|
|
|
771
|
|
|
public function atan(): vector { |
|
772
|
|
|
return $this->map('atan'); |
|
773
|
|
|
} |
|
774
|
|
|
|
|
775
|
|
|
public function radToDeg(): vector { |
|
776
|
|
|
return $this->map('rad2deg'); |
|
777
|
|
|
} |
|
778
|
|
|
|
|
779
|
|
|
public function degToRad(): vector { |
|
780
|
|
|
return $this->map('deg2rad'); |
|
781
|
|
|
} |
|
782
|
|
|
|
|
783
|
|
|
public function floor(): vector { |
|
784
|
|
|
return $this->map('floor'); |
|
785
|
|
|
} |
|
786
|
|
|
|
|
787
|
|
|
public function ceil(): vector { |
|
788
|
|
|
return $this->map('ceil'); |
|
789
|
|
|
} |
|
790
|
|
|
|
|
791
|
|
|
/** |
|
792
|
|
|
* |
|
793
|
|
|
* @param float $min |
|
794
|
|
|
* @param float $max |
|
795
|
|
|
* @return vector |
|
796
|
|
|
*/ |
|
797
|
|
|
public function clip(float $min, float $max) : vector { |
|
798
|
|
|
if ($min > $max) { |
|
799
|
|
|
self::_invalidArgument('Minimum cannot be greater than maximum.'); |
|
800
|
|
|
} |
|
801
|
|
|
|
|
802
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
803
|
|
|
|
|
804
|
|
|
for($i = 0; $i < $this->col; ++$i) { |
|
805
|
|
|
if ($this->data[$i] > $max) { |
|
806
|
|
|
$vr->data[$i] = $max; |
|
807
|
|
|
continue; |
|
808
|
|
|
} |
|
809
|
|
|
if ($this->data[$i] < $min) { |
|
810
|
|
|
$vr->data[$i] = $min; |
|
811
|
|
|
continue; |
|
812
|
|
|
} |
|
813
|
|
|
} |
|
814
|
|
|
|
|
815
|
|
|
return $vr; |
|
816
|
|
|
} |
|
817
|
|
|
|
|
818
|
|
|
public function clipUpper(float $min) : vector { |
|
819
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
820
|
|
|
for($i = 0; $i < $this->col; ++$i) { |
|
821
|
|
|
if ($this->data[$i] > $min) { |
|
822
|
|
|
$vr->data[$i] = $min; |
|
823
|
|
|
continue; |
|
824
|
|
|
} |
|
825
|
|
|
} |
|
826
|
|
|
return $vr; |
|
827
|
|
|
} |
|
828
|
|
|
|
|
829
|
|
|
public function clipLower(float $min) : vector { |
|
830
|
|
|
$vr = self::factory($this->col, $this->dtype); |
|
831
|
|
|
for($i = 0; $i < $this->col; ++$i) { |
|
832
|
|
|
if ($this->data[$i] < $min) { |
|
833
|
|
|
$vr->data[$i] = $min; |
|
834
|
|
|
continue; |
|
835
|
|
|
} |
|
836
|
|
|
} |
|
837
|
|
|
return $vr; |
|
838
|
|
|
} |
|
839
|
|
|
|
|
840
|
|
|
/** |
|
841
|
|
|
* Return the inner product of two vectors. |
|
842
|
|
|
* |
|
843
|
|
|
* @param \Np\vector $vector |
|
844
|
|
|
* |
|
845
|
|
|
*/ |
|
846
|
|
|
public function inner(\Np\vector $vector) { |
|
847
|
|
|
return $this->dotVector($vector); |
|
848
|
|
|
} |
|
849
|
|
|
|
|
850
|
|
|
/** |
|
851
|
|
|
* Calculate the L1 norm of the vector. |
|
852
|
|
|
* @return float |
|
853
|
|
|
*/ |
|
854
|
|
|
public function normL1(): float { |
|
855
|
|
|
return $this->abs()->sum(); |
|
856
|
|
|
} |
|
857
|
|
|
|
|
858
|
|
|
public function normL2() { |
|
859
|
|
|
return sqrt($this->square()->sum()); |
|
860
|
|
|
} |
|
861
|
|
|
|
|
862
|
|
|
public function normMax() { |
|
863
|
|
|
return $this->abs()->max(); |
|
864
|
|
|
} |
|
865
|
|
|
|
|
866
|
|
|
public function normP(float $p = 2.5) { |
|
867
|
|
|
if ($p <= 0.0) { |
|
868
|
|
|
self::_invalidArgument('P must be greater than 0.0 !'); |
|
869
|
|
|
} |
|
870
|
|
|
return $this->abs()->powScalar($p)->sum() ** (1.0 / $p); |
|
871
|
|
|
} |
|
872
|
|
|
|
|
873
|
|
|
/** |
|
874
|
|
|
* Return the reciprocal of the vector element-wise. |
|
875
|
|
|
* |
|
876
|
|
|
* @return self |
|
877
|
|
|
*/ |
|
878
|
|
|
public function reciprocal(): vector { |
|
879
|
|
|
return self::ones($this->col, $this->dtype) |
|
880
|
|
|
->divideVector($this); |
|
881
|
|
|
} |
|
882
|
|
|
|
|
883
|
|
|
/** |
|
884
|
|
|
* |
|
885
|
|
|
* @return int|float |
|
886
|
|
|
*/ |
|
887
|
|
|
public function mean():int|float { |
|
888
|
|
|
return $this->sum()/ $this->col; |
|
889
|
|
|
} |
|
890
|
|
|
|
|
891
|
|
|
/** |
|
892
|
|
|
* |
|
893
|
|
|
* @return int|float |
|
894
|
|
|
*/ |
|
895
|
|
|
public function median():int|float { |
|
896
|
|
|
$mid = intdiv($this->col, 2); |
|
897
|
|
|
|
|
898
|
|
|
$a = $this->copyVector()->sort(); |
|
899
|
|
|
if ($this->col % 2 === 1) { |
|
900
|
|
|
$median = $a->data[$mid]; |
|
901
|
|
|
} else { |
|
902
|
|
|
$median = ($a->data[$mid - 1] + $a->data[$mid]) / 2.; |
|
903
|
|
|
} |
|
904
|
|
|
return $median; |
|
905
|
|
|
} |
|
906
|
|
|
|
|
907
|
|
|
public function variance($mean = null) |
|
908
|
|
|
{ |
|
909
|
|
|
if (is_null($mean)) { |
|
910
|
|
|
$mean = $this->mean(); |
|
911
|
|
|
} |
|
912
|
|
|
|
|
913
|
|
|
$sd = $this->substractScalar($mean) |
|
914
|
|
|
->square() |
|
915
|
|
|
->sum(); |
|
916
|
|
|
|
|
917
|
|
|
return $sd / $this->col; |
|
918
|
|
|
} |
|
919
|
|
|
|
|
920
|
|
|
/** |
|
921
|
|
|
* |
|
922
|
|
|
* @return vector |
|
923
|
|
|
*/ |
|
924
|
|
|
public function square(): vector { |
|
925
|
|
|
return $this->multiplyVector($this); |
|
926
|
|
|
} |
|
927
|
|
|
|
|
928
|
|
|
/** |
|
929
|
|
|
* sort the vector |
|
930
|
|
|
* @param string $type i or d |
|
931
|
|
|
* |
|
932
|
|
|
*/ |
|
933
|
|
|
public function sort($type = 'i') { |
|
934
|
|
|
lapack::sort($this, $type); |
|
935
|
|
|
return $this; |
|
936
|
|
|
} |
|
937
|
|
|
|
|
938
|
|
|
/** |
|
939
|
|
|
* set data to vector |
|
940
|
|
|
* @param int|float|array $data |
|
941
|
|
|
*/ |
|
942
|
|
|
public function setData(int|float|array $data) { |
|
943
|
|
|
if (is_array($data) && !is_array($data[0])) { |
|
944
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
945
|
|
|
$this->data[$i] = $data[$i]; |
|
946
|
|
|
} |
|
947
|
|
|
} elseif (is_numeric($data)) { |
|
948
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
949
|
|
|
$this->data[$i] = $data; |
|
950
|
|
|
} |
|
951
|
|
|
} |
|
952
|
|
|
} |
|
953
|
|
|
|
|
954
|
|
|
/** |
|
955
|
|
|
* Return a matrix in the shape specified. |
|
956
|
|
|
* @param int $row |
|
957
|
|
|
* @param int $col |
|
958
|
|
|
* @return matrix |
|
959
|
|
|
*/ |
|
960
|
|
|
public function reshape(int $row, int $col): matrix { |
|
961
|
|
|
if($this->col != $row * $col) { |
|
962
|
|
|
self::_dimensionaMisMatchErr('given dimenssion is not valid for current bufferData'); |
|
963
|
|
|
} |
|
964
|
|
|
$ar = matrix::factory($row, $col, $this->dtype); |
|
965
|
|
|
$ar->data = $this->data; |
|
966
|
|
|
return $ar; |
|
967
|
|
|
} |
|
968
|
|
|
|
|
969
|
|
|
/** |
|
970
|
|
|
* get the size of vector |
|
971
|
|
|
* @return int |
|
972
|
|
|
*/ |
|
973
|
|
|
public function getSize(): int { |
|
974
|
|
|
return $this->col; |
|
975
|
|
|
} |
|
976
|
|
|
|
|
977
|
|
|
public function getDtype() { |
|
978
|
|
|
return $this->dtype; |
|
979
|
|
|
} |
|
980
|
|
|
|
|
981
|
|
|
public function asArray() { |
|
982
|
|
|
$ar = array_fill(0, $this->col, null); |
|
983
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
|
984
|
|
|
$ar[$i] = $this->data[$i]; |
|
985
|
|
|
} |
|
986
|
|
|
return $ar; |
|
987
|
|
|
} |
|
988
|
|
|
|
|
989
|
|
|
public function printVector() { |
|
990
|
|
|
for ($j = 0; $j < $this->col; ++$j) { |
|
991
|
|
|
printf('%lf ', $this->data[$j]); |
|
992
|
|
|
} |
|
993
|
|
|
echo PHP_EOL; |
|
994
|
|
|
} |
|
995
|
|
|
|
|
996
|
|
|
public function __toString() { |
|
997
|
|
|
return (string) $this->printVector(); |
|
998
|
|
|
} |
|
999
|
|
|
|
|
1000
|
|
|
protected function __construct(public int $col, int $dtype = self::FLOAT) { |
|
1001
|
|
|
if ($this->col < 1) { |
|
1002
|
|
|
throw new invalidArgumentException('* To create Numphp/Vector col must be greater than 0!, Op Failed! * '); |
|
1003
|
|
|
} |
|
1004
|
|
|
parent::__construct($this->col, $dtype); |
|
1005
|
|
|
return $this; |
|
1006
|
|
|
} |
|
1007
|
|
|
|
|
1008
|
|
|
} |
|
1009
|
|
|
|