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using System;
using System.Collections.Generic;
using System.Linq;
using IStation.Numerics.Statistics;

namespace IStation.Numerics.Financial
{
    public static class AbsoluteRiskMeasures
    {
        // Note: The following statistics would be considered an absolute risk statistic in the finance realm as well.
        // Standard Deviation
        // Annualized Standard Deviation = Math.Sqrt(Monthly Standard Deviation x ( 12 ))
        // Skewness
        // Kurtosis

        /// <summary>
        /// Calculation is similar to Standard Deviation , except it calculates an average (mean) return only for periods with a gain
        /// and measures the variation of only the gain periods around the gain mean. Measures the volatility of upside performance.
        /// © Copyright 1996, 1999 Gary L.Gastineau. First Edition. © 1992 Swiss Bank Corporation.
        /// </summary>
        public static double GainStandardDeviation(this IEnumerable<double> data)
        {
            if (data == null)
            {
                throw new ArgumentNullException(nameof(data));
            }

            return data.Where(x => x >= 0).StandardDeviation();
        }

        /// <summary>
        /// Similar to standard deviation, except this statistic calculates an average (mean) return for only the periods with a loss and then
        /// measures the variation of only the losing periods around this loss mean. This statistic measures the volatility of downside performance.
        /// </summary>
        /// <remarks>http://www.offshore-library.com/kb/statistics.php</remarks>
        public static double LossStandardDeviation(this IEnumerable<double> data)
        {
            if (data == null)
            {
                throw new ArgumentNullException(nameof(data));
            }

            return data.Where(x => x < 0).StandardDeviation();
        }

        /// <summary>
        /// This measure is similar to the loss standard deviation except the downside deviation
        /// considers only returns that fall below a defined minimum acceptable return (MAR) rather than the arithmetic mean.
        /// For example, if the MAR is 7%, the downside deviation would measure the variation of each period that falls below
        /// 7%. (The loss standard deviation, on the other hand, would take only losing periods, calculate an average return for
        /// the losing periods, and then measure the variation between each losing return and the losing return average).
        /// </summary>
        public static double DownsideDeviation(this IEnumerable<double> data, double minimalAcceptableReturn)
        {
            if (data == null)
            {
                throw new ArgumentNullException(nameof(data));
            }

            return data.Where(x => x < minimalAcceptableReturn).StandardDeviation();
        }

        /// <summary>
        /// A measure of volatility in returns below the mean. It's similar to standard deviation, but it only
        /// looks at periods where the investment return was less than average return.
        /// </summary>
        public static double SemiDeviation(this IEnumerable<double> data)
        {
            if (data == null)
            {
                throw new ArgumentNullException(nameof(data));
            }

            var mean = data.Mean();
            var belowMeanData = data.Where(x => x < mean);
            return belowMeanData.StandardDeviation();
        }

        /// <summary>
        /// Measures a fund’s average gain in a gain period divided by the fund’s average loss in a losing
        /// period. Periods can be monthly or quarterly depending on the data frequency.
        /// </summary>
        public static double GainLossRatio(this IEnumerable<double> data)
        {
            if (data == null)
            {
                throw new ArgumentNullException(nameof(data));
            }

            var gains = data.Where(x => x >= 0);
            var losses = data.Where(x => x < 0);
            return Math.Abs(gains.Mean() / losses.Mean());
        }
    }
}