<?php

namespace Rubix\ML\Classifiers;

use Rubix\ML\Online;
use Rubix\ML\Learner;
use Rubix\ML\Verbose;
use Rubix\ML\DataType;
use Rubix\ML\Estimator;
use Rubix\ML\Persistable;
use Rubix\ML\Probabilistic;
use Rubix\ML\RanksFeatures;
use Rubix\ML\EstimatorType;
use Rubix\ML\Datasets\Dataset;
use Rubix\ML\Other\Helpers\Params;
use Rubix\ML\NeuralNet\FeedForward;
use Rubix\ML\NeuralNet\Layers\Dense;
use Rubix\ML\NeuralNet\Layers\Binary;
use Rubix\ML\Other\Traits\LoggerAware;
use Rubix\ML\Other\Traits\ProbaSingle;
use Rubix\ML\NeuralNet\Optimizers\Adam;
use Rubix\ML\Other\Traits\PredictsSingle;
use Rubix\ML\Other\Traits\AutotrackRevisions;
use Rubix\ML\NeuralNet\Layers\Placeholder1D;
use Rubix\ML\NeuralNet\Optimizers\Optimizer;
use Rubix\ML\NeuralNet\Initializers\Xavier1;
use Rubix\ML\Specifications\DatasetIsLabeled;
use Rubix\ML\Specifications\DatasetIsNotEmpty;
use Rubix\ML\Specifications\SpecificationChain;
use Rubix\ML\NeuralNet\CostFunctions\CrossEntropy;
use Rubix\ML\Specifications\DatasetHasDimensionality;
use Rubix\ML\NeuralNet\CostFunctions\ClassificationLoss;
use Rubix\ML\Specifications\LabelsAreCompatibleWithLearner;
use Rubix\ML\Specifications\SamplesAreCompatibleWithEstimator;
use Rubix\ML\Exceptions\InvalidArgumentException;
use Rubix\ML\Exceptions\RuntimeException;

use function is_nan;
use function count;

/**
 * Logistic Regression
 *
 * A linear classifier that uses the logistic (*sigmoid*) function to estimate the
 * probabilities of exactly two class outcomes. The model parameters (weights and bias)
 * are solved using Mini Batch Gradient Descent with pluggable optimizers and cost
 * functions that run on the neural network subsystem.
 *
 * @category    Machine Learning
 * @package     Rubix/ML
 * @author      Andrew DalPino
 */
class LogisticRegression implements Estimator, Learner, Online, Probabilistic, RanksFeatures, Verbose, Persistable
{
    use AutotrackRevisions, PredictsSingle, ProbaSingle, LoggerAware;

    /**
     * The number of training samples to process at a time.
     *
     * @var int
     */
    protected $batchSize;

    /**
     * The gradient descent optimizer used to update the network parameters.
     *
     * @var \Rubix\ML\NeuralNet\Optimizers\Optimizer
     */
    protected $optimizer;

    /**
     * The amount of L2 regularization applied to the weights of the output layer.
     *
     * @var float
     */
    protected $alpha;

    /**
     * The maximum number of training epochs. i.e. the number of times to iterate
     * over the entire training set before terminating.
     *
     * @var int
     */
    protected $epochs;

    /**
     * The minimum change in the training loss necessary to continue training.
     *
     * @var float
     */
    protected $minChange;

    /**
     * The number of epochs without improvement in the training loss to wait
     * before considering an early stop.
     *
     * @var int
     */
    protected $window;

    /**
     * The function that computes the loss associated with an erroneous
     * activation during training.
     *
     * @var \Rubix\ML\NeuralNet\CostFunctions\ClassificationLoss
     */
    protected $costFn;

    /**
     * The underlying neural network instance.
     *
     * @var \Rubix\ML\NeuralNet\FeedForward|null
     */
    protected $network;

    /**
     * The unique class labels.
     *
     * @var string[]|null
     */
    protected $classes;

    /**
     * The loss at each epoch from the last training session.
     *
     * @var float[]|null
     */
    protected $steps;

    /**
     * @param int $batchSize
     * @param \Rubix\ML\NeuralNet\Optimizers\Optimizer|null $optimizer
     * @param float $alpha
     * @param int $epochs
     * @param float $minChange
     * @param int $window
     * @param \Rubix\ML\NeuralNet\CostFunctions\ClassificationLoss|null $costFn
     * @throws \Rubix\ML\Exceptions\InvalidArgumentException
     */
    public function __construct(
        int $batchSize = 128,
        ?Optimizer $optimizer = null,
        float $alpha = 1e-4,
        int $epochs = 1000,
        float $minChange = 1e-4,
        int $window = 5,
        ?ClassificationLoss $costFn = null
    ) {
        if ($batchSize < 1) {
            throw new InvalidArgumentException('Batch size must be'
                . " greater than 0, $batchSize given.");
        }

        if ($alpha < 0.0) {
            throw new InvalidArgumentException('Alpha must be'
                . " greater than 0, $alpha given.");
        }

        if ($epochs < 1) {
            throw new InvalidArgumentException('Number of epochs'
                . " must be greater than 0, $epochs given.");
        }

        if ($minChange < 0.0) {
            throw new InvalidArgumentException('Minimum change must be'
                . " greater than 0, $minChange given.");
        }

        if ($window < 1) {
            throw new InvalidArgumentException('Window must be'
                . " greater than 0, $window given.");
        }

        $this->batchSize = $batchSize;
        $this->optimizer = $optimizer ?? new Adam();
        $this->alpha = $alpha;
        $this->epochs = $epochs;
        $this->minChange = $minChange;
        $this->window = $window;
        $this->costFn = $costFn ?? new CrossEntropy();
    }

    /**
     * Return the estimator type.
     *
     * @internal
     *
     * @return \Rubix\ML\EstimatorType
     */
    public function type() : EstimatorType
    {
        return EstimatorType::classifier();
    }

    /**
     * Return the data types that the estimator is compatible with.
     *
     * @internal
     *
     * @return list<\Rubix\ML\DataType>
     */
    public function compatibility() : array
    {
        return [
            DataType::continuous(),
        ];
    }

    /**
     * Return the settings of the hyper-parameters in an associative array.
     *
     * @internal
     *
     * @return mixed[]
     */
    public function params() : array
    {
        return [
            'batch_size' => $this->batchSize,
            'optimizer' => $this->optimizer,
            'alpha' => $this->alpha,
            'epochs' => $this->epochs,
            'min_change' => $this->minChange,
            'window' => $this->window,
            'cost_fn' => $this->costFn,
        ];
    }

    /**
     * Has the learner been trained?
     *
     * @return bool
     */
    public function trained() : bool
    {
        return $this->network and $this->classes;
    }

    /**
     * Return the loss at each epoch from the last training session.
     *
     * @return float[]|null
     */
    public function steps() : ?array
    {
        return $this->steps;
    }

    /**
     * Return the underlying neural network instance or null if not trained.
     *
     * @return \Rubix\ML\NeuralNet\FeedForward|null
     */
    public function network() : ?FeedForward
    {
        return $this->network;
    }

    /**
     * Train the learner with a dataset.
     *
     * @param \Rubix\ML\Datasets\Labeled $dataset
     */
    public function train(Dataset $dataset) : void
    {
        SpecificationChain::with([
            new DatasetIsLabeled($dataset),
            new DatasetIsNotEmpty($dataset),
            new LabelsAreCompatibleWithLearner($dataset, $this),
        ])->check();

        $classes = $dataset->possibleOutcomes();

        $this->network = new FeedForward(
            new Placeholder1D($dataset->numColumns()),
            [new Dense(1, $this->alpha, true, new Xavier1())],
            new Binary($classes, $this->costFn),
            $this->optimizer
        );

        $this->network->initialize();

        $this->classes = $classes;

        $this->partial($dataset);
    }

    /**
     * Perform a partial train on the learner.
     *
     * @param \Rubix\ML\Datasets\Labeled $dataset
     */
    public function partial(Dataset $dataset) : void
    {
        if (!$this->network) {
            $this->train($dataset);

            return;
        }

        SpecificationChain::with([
            new DatasetIsLabeled($dataset),
            new DatasetIsNotEmpty($dataset),
            new SamplesAreCompatibleWithEstimator($dataset, $this),
            new LabelsAreCompatibleWithLearner($dataset, $this),
            new DatasetHasDimensionality($dataset, $this->network->input()->width()),
        ])->check();

        if ($this->logger) {
            $this->logger->info("$this initialized");
        }

        $prevLoss = $bestLoss = INF;
        $delta = 0;

        $this->steps = [];

        for ($epoch = 1; $epoch <= $this->epochs; ++$epoch) {
            $batches = $dataset->randomize()->batch($this->batchSize);

            $loss = 0.0;

            foreach ($batches as $batch) {
                $loss += $this->network->roundtrip($batch);
            }

            if (is_nan($loss)) {
                if ($this->logger) {
                    $this->logger->info('Numerical instability detected');
                }

                break;
            }

            $loss /= count($batches);

            $this->steps[] = $loss;

            if ($this->logger) {
                $this->logger->info("Epoch $epoch - {$this->costFn}: $loss");
            }

            if ($loss <= 0.0) {
                break;
            }

            if (abs($prevLoss - $loss) < $this->minChange) {
                break;
            }

            if ($loss < $bestLoss) {
                $bestLoss = $loss;

                $delta = 0;
            } else {
                ++$delta;
            }

            if ($delta >= $this->window) {
                break;
            }

            $prevLoss = $loss;
        }

        if ($this->logger) {
            $this->logger->info('Training complete');
        }
    }

    /**
     * Make predictions from a dataset.
     *
     * @param \Rubix\ML\Datasets\Dataset $dataset
     * @return list<string>
     */
    public function predict(Dataset $dataset) : array
    {
        return array_map('Rubix\ML\argmax', $this->proba($dataset));
    }

    /**
     * Estimate the joint probabilities for each possible outcome.
     *
     * @param \Rubix\ML\Datasets\Dataset $dataset
     * @throws \Rubix\ML\Exceptions\RuntimeException
     * @return list<float[]>
     */
    public function proba(Dataset $dataset) : array
    {
        if (!$this->network or !$this->classes) {
            throw new RuntimeException('Estimator has not been trained.');
        }

        DatasetHasDimensionality::with($dataset, $this->network->input()->width())->check();

        [$classA, $classB] = $this->classes;

        $activations = $this->network->infer($dataset);

        $probabilities = [];

        foreach ($activations->column(0) as $activation) {
            $probabilities[] = [
                $classA => 1.0 - $activation,
                $classB => $activation,
            ];
        }

        return $probabilities;
    }

    /**
     * Return the normalized importance scores of each feature column of the training set.
     *
     * @throws \Rubix\ML\Exceptions\RuntimeException
     * @return float[]
     */
    public function featureImportances() : array
    {
        if (!$this->network) {
            throw new RuntimeException('Estimator has not been trained.');
        }

        $layer = current($this->network->hidden());

        if (!$layer instanceof Dense) {
            throw new RuntimeException('Weight layer not found.');
        }

        $importances = $layer->weights()->rowAsVector(0)->abs();

        return $importances->divide($importances->sum())->asArray();
    }

    /**
     * Return the string representation of the object.
     *
     * @return string
     */
    public function __toString() : string
    {
        return 'Logistic Regression (' . Params::stringify($this->params()) . ')';
    }
}
