From e470915db35f89151b9af6a75e48f31814b0b0fa Mon Sep 17 00:00:00 2001 From: Mohamed Shabara <84589678+MShabara@users.noreply.github.com> Date: Thu, 12 Dec 2024 14:44:44 -0700 Subject: [PATCH 01/18] upCrossing functions convert --- examples/adcp_example.mlx | Bin 213376 -> 187207 bytes examples/short_term_extremes_example.html | 52 +++++++------ examples/short_term_extremes_example.mlx | Bin 249450 -> 287112 bytes mhkit/utils/upcrossing/README.md | 89 ++++++++++++++++++++++ mhkit/utils/upcrossing/uc_apply_.m | 24 ++++++ mhkit/utils/upcrossing/uc_custom.m | 21 +++++ mhkit/utils/upcrossing/uc_heights.m | 21 +++++ mhkit/utils/upcrossing/uc_peaks.m | 18 +++++ mhkit/utils/upcrossing/uc_periods.m | 17 +++++ mhkit/utils/upcrossing/uc_troughs.m | 19 +++++ mhkit/utils/upcrossing/upcrossing.m | 24 ++++++ 11 files changed, 263 insertions(+), 22 deletions(-) create mode 100644 mhkit/utils/upcrossing/README.md create mode 100644 mhkit/utils/upcrossing/uc_apply_.m create mode 100644 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    MHKiT Short-term Extreme Loads

    1. Block maxima: approximate the short-term extreme distribution directly by fitting a probability distribution to the maxima from N distinct short-term blocks.
    2. Peaks distribution: approximate the short-term extreme distribution from the distribution of peaks from a time-series of arbitrary length.

    Block Maxima

    1. Find the maximum of each block

    2. Fit a distribution to the block maxima

    Peaks Distribution

    1. Find the global peaks

    2. Fit a distribution to the peaks

    1. Fit a Weibull distribution to all the peaks.
    2. Weibull tail fit: seven different weibull distributions are fit to successively smaller subsets of the highest peaks, and the peak distribution is taken as the average of these sevenn
    3. Peaks over threshold: a generalized Pareto distribution is fit to all peaks above a certain threshold, typically taken as 1.4 standard deviations above the mean.
    Weibull: +.S7 { margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; } +.S8 { border-left: 0.909091px solid rgb(217, 217, 217); border-right: 0.909091px solid rgb(217, 217, 217); border-top: 0px none rgb(0, 0, 0); border-bottom: 0px none rgb(0, 0, 0); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; } +.S9 { border-left: 0.909091px solid rgb(217, 217, 217); border-right: 0.909091px solid rgb(217, 217, 217); border-top: 0px none rgb(0, 0, 0); border-bottom: 0.909091px solid rgb(217, 217, 217); border-radius: 0px 0px 4px 4px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; } +.S10 { border-left: 0.909091px solid rgb(217, 217, 217); border-right: 0.909091px solid rgb(217, 217, 217); border-top: 0.909091px solid rgb(217, 217, 217); border-bottom: 0px none rgb(0, 0, 0); border-radius: 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; } +.S11 { margin: 15px 10px 5px 4px; padding: 0px; line-height: 18px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 17px; font-weight: 700; text-align: left; } +.S12 { margin: 10px 10px 5px 4px; padding: 0px; line-height: 18px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 15px; font-weight: 700; text-align: left; } +.S13 { border-left: 0.909091px solid rgb(217, 217, 217); border-right: 0.909091px solid rgb(217, 217, 217); border-top: 0.909091px solid rgb(217, 217, 217); border-bottom: 0.909091px solid rgb(217, 217, 217); border-radius: 0px; padding: 6px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; } +.S14 { border-left: 0.909091px solid rgb(217, 217, 217); border-right: 0.909091px solid rgb(217, 217, 217); border-top: 0.909091px solid rgb(217, 217, 217); border-bottom: 0.909091px solid rgb(217, 217, 217); border-radius: 4px; padding: 6px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; }

    MHKiT Short-term Extreme Loads

    Short-term extreme loads are typically required as part of a long-term extreme load estimate. A short-term extreme distribution is a probability distribution for the extreme value of a short-term (e.g. 3-hours) time-series.
    MHKiT includes functions adapted from the WDRT for estimating the short-term extreme distribution. Several methods are included, which can be divided into two main approaches:
    1. Block maxima: approximate the short-term extreme distribution directly by fitting a probability distribution to the maxima from N distinct short-term blocks.
    2. Peaks distribution: approximate the short-term extreme distribution from the distribution of peaks from a time-series of arbitrary length.
    The two sets of methods will be demonstrated.
    NOTE: This notebook will walk through the two different approaches, and each method in them. The short-term extremes will be obtained step-by-step showing the intermediate outputs. However, a convenience function, the loads.extreme.short_term_extreme function, can be be used directly in a single step. For this usage jump to the last section. It is recommended that you go over this entire example to understand what is going on "under the hood" prior to using this convenience function.
    The quantity (load) of interest can be anything related to the WEC, such as position (e.g. PTO extension, heave displacement), velocity, structural load, mooring loads, etc. For this example we will use the wave elevation as the quantity of interest, since such time-series can be easily created without having to run a WEC-modeling software. The short-term period of interest will be 3-hours.
    An important pre-processing step is making the time-series zero-mean. In this case, since wave elevation is zero-mean no pre-processing is needed.
    We first define the short-term period (3 hours).
    % short-term period in seconds
    t_st = 3.0 * 60.0 * 60.0
    t_st = 10800
    The methods based on peaks distributions require a single time series of any length while the methods based on block maxima require N time series of length equal to the short-term time period.
    We will now create N=10 time series of length equal to the short-term period (3 hours). For block maxima methods we will use all 10 and for peaks distribution methods we will only use the first hour of the first time-series. For the block maxima we use N=10 for speed considerations, but note that this would be inadequately small for most real applications.
    For the sake of example we will consider the wave elevation as the quantity of interest (can be thought as a proxy for heave motion in this example). Wave elevation time-series for a specific sea state can be created quickly without running any external software.
    NOTE: The code below is simply creating the synthetic data (wave elevation time series). In a realistic case the time series would be obtained externally, e.g. through simulation software such as WEC-Sim or CFD. For this reason the details of creating the synthetic data are not presented here, instead assume for the quantity of interest there are ten 3-hours time-series available.
    We start by creating the ten 3-hour time-series of the quantity of interest. We do this with a list comprehension and using the wave.resource.surface_elevation function. The result is a list of 10 different time-series. Alternatively we could have created a single time-series of length N times the short-term period (30 hours) and used the extreme.block_maxima function to split it into blocks and return the block maxima.
    % JONSWAP spectrum for creating short-term time-series
    T_min = 1; % s
    Tp = 8; % s
    Hs = 1.5; % m
    df = 1/t_st;
    f_max = 1/T_min;
    Nf = f_max/df + 1;
    f = linspace(0.0, f_max, Nf);
    S = jonswap_spectrum(f, Tp, Hs);
     
    % time in seconds
    time = linspace(0, t_st, 2*Nf+1);
     
    % qoi timeseries
    qoi_timeseries = surface_elevation(S, time);
    qoi = qoi_timeseries.elevation;
    We can view the different time-series. Change value of i below to plot a different time-series. Below we plot both the full 3 hours time series and the first 2 minutes to get a better look at the behavior of the response.
    figure;
    plot(time, qoi)
    title("Full 3 hours"); xlabel("time [s]"); ylabel("elevation [m]")
    figure;
    plot(time(1:120), qoi(1:120))
    title("First 2 minutes"); xlabel("time [s]"); ylabel("elevation [m]")

    Block Maxima

    The short-term extreme distribution can be estimated directly from N time-series of short-term period. These time-series can be obtained, for instance, from N distinct simulations of the quantity of interest, or alternatively by dividing a long time-series of the quantity of interest into blocks of length equal to the short-term period. In this example we will divide our 3 hour time series into 10-minute segments for speed considerations, but this would be inadequately small for most real applications.

    1. Find the maximum of each block

    The first step is to get the maximum in each block, i.e. in each of the 10-minute time series. We can use the block_maxima funtion to do this for us.
    % split time series into 10-minute (600s) segments
    block_max = block_maxima(time, qoi', 600);
    We can also visualize this result, which represents the maximum elevation of each 10-minute segment for the 3 hour period we are analyzing.
    figure;
    plot(block_max, 'o'); grid on; xticks(0:1:19); ylim([0,2])
    xlabel('block #'); ylabel('block max elevation [m]'); title('Block maxima')

    2. Fit a distribution to the block maxima

    We can now get the short-term extreme distribution by fitting either a generalized extreme value distribution or a Gumbel (right) distributions to these N=18 maxima. We will compare both methods.
    % generalized extreme value distribution
    x = linspace(0,3,1000);
    ste_gev_pdf = ste_block_maxima_gev(block_max, x, "pdf");
    ste_gev_cdf = ste_block_maxima_gev(block_max, x, "cdf");
    ste_gum_pdf = ste_block_maxima_gumbel(block_max, x, "pdf");
    ste_gum_cdf = ste_block_maxima_gumbel(block_max, x, "cdf");
    The outputs of these functions are probability distributions. Here we will plot the CDF and PDF and print the 95% interval for both methods.
    % plot cdf and pdf
    subplot(1,2,1); hold on;
    plot(x,ste_gev_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_gum_pdf); xlabel('elevation [m]'); ylabel('PDF')
    legend('GEV','Gumbel')
    subplot(1,2,2); hold on;
    plot(x,ste_gev_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_gum_cdf); xlabel('elevation [m]'); ylabel('CDF')
    fprintf('GEV:\n 95 percent interval: (%.3f m, %.3f m)',ste_block_maxima_gev(block_max, 0.025, "ppf"),ste_block_maxima_gev(block_max, 0.975, "ppf"))
    GEV: + 95 percent interval: (1.081 m, 1.459 m)
    fprintf('GUMBEL:\n 95 percent interval: (%.3f m, %.3f m)',ste_block_maxima_gumbel(block_max, 0.025, "ppf"),ste_block_maxima_gumbel(block_max, 0.975, "ppf"))
    GUMBEL: + 95 percent interval: (1.084 m, 1.483 m)

    Peaks Distribution

    The block maxima approach is the most direct way to approximate the short-term extreme but it requires a lot of data (N timeseries of length equal to the short-term period). An alternative approach approximates the short-term extreme from a timeseries of arbitrary length, even shorter than the short-term period, by fitting a distribution to the peaks of the timeseries.
    To demonstrate these methods we will approximate the 3-hour short-term extreme distribution from a single 1-hour timeseries.
    We start by generating this 1-hour response timeseries.
    t_end = 1.0 * 60.0 * 60.0;
    qoi_1hr = qoi(1:t_end);
    time_1hr = time(1:t_end);
    % visualize
    figure;
    plot(time_1hr, qoi_1hr)
    title("1 hour"); xlabel("time [s]"); ylabel("elevation [m]")

    1. Find the global peaks

    The global peaks are the maximum between succesive zero-upcrossings. We use the extreme.global_peaks function to find these peaks.
    [t_peaks, qoi_peaks] = global_peaks(time_1hr, qoi_1hr);
    npeaks = length(qoi_peaks)
    npeaks = 305
    We will plot the entire time-series and the global peaks and then zoom in on the first 2 minutes.
    figure; hold on;
    plot(time_1hr, qoi_1hr)
    title("1 hour"); xlabel("time [s]"); ylabel("elevation [m]")
    scatter(t_peaks, qoi_peaks)
    yline(0)
    figure; hold on;
    plot(time_1hr, qoi_1hr)
    title("1 hour"); xlabel("time [s]"); ylabel("elevation [m]")
    scatter(t_peaks, qoi_peaks, 'filled')
    yline(0)
    xlim([0,120])

    2. Fit a distribution to the peaks

    MHKiT has three methods for doing this.
    1. Fit a Weibull distribution to all the peaks.
    2. Weibull tail fit: seven different weibull distributions are fit to successively smaller subsets of the highest peaks, and the peak distribution is taken as the average of these sevenn
    3. Peaks over threshold: a generalized Pareto distribution is fit to all peaks above a certain threshold, typically taken as 1.4 standard deviations above the mean.
    We will now compare the results from these three methods. For the peaks over threshold we will take the threshold (variable thresh below) to be 1.4 standard deviations above the mean. Note in this example, we are also storing the python statistical object. This is something we will need in the step!
    % Weibull
    [peaks_w_pdf, peaks_w] = peaks_distribution_weibull(qoi_peaks, x, "pdf");
    peaks_w_cdf = peaks_distribution_weibull(qoi_peaks, x, "cdf");
    % Weibull tail fit
    [peaks_wtf_pdf, peaks_wtf] = peaks_distribution_weibull_tail_fit(qoi_peaks, x, "pdf");
    peaks_wtf_cdf = peaks_distribution_weibull_tail_fit(qoi_peaks, x, "cdf");
    % peaks over threshold
    thresh = mean(qoi_peaks) + 1.4 * std(qoi_peaks);
    [peaks_pot_pdf, peaks_pot] = peaks_distribution_peaks_over_threshold(qoi_peaks, x, "pdf", "threshold", thresh);
    peaks_pot_cdf = peaks_distribution_peaks_over_threshold(qoi_peaks, x, "cdf", "threshold", thresh);
    We will plot both the PDF and CDF of the peaks distribution, and obtain the 95% interval for each distribution. Note however that for the peaks over threshold method the distribution is only defined for values over the threshold, and many of the functionalities that require the entire distribution are therefore not available.
    % plot cdf and pdf
    subplot(1,2,1); hold on;
    plot(x,peaks_w_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,peaks_wtf_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,peaks_pot_pdf,'green'); xlabel('elevation [m]'); ylabel('PDF')
    legend('Weibull','WTF','POT')
    subplot(1,2,2); hold on;
    plot(x,peaks_w_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,peaks_wtf_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,peaks_pot_cdf, 'green'); xlabel('elevation [m]'); ylabel('CDF')
    s1 = sprintf('Weibull:\n 95 percent interval: (%.3f m, %.3f m)\n',peaks_distribution_weibull(qoi_peaks,0.025,"ppf"),peaks_distribution_weibull(qoi_peaks,0.975,"ppf"));
    s2 = sprintf('Weibull tail fit:\n 95 percent interval: (%.3f m, %.3f m)',peaks_distribution_weibull_tail_fit(qoi_peaks,0.025,"ppf"),peaks_distribution_weibull_tail_fit(qoi_peaks,0.975,"ppf"));
    disp([s1, s2])
    Weibull: 95 percent interval: (0.055 m, 1.122 m) Weibull tail fit: - 95 percent interval: (0.049 m, 1.101 m)

    3. Obtain the short-term extreme distribution from the peaks distribution

    We do this using the peaks distribution and an approximation for the number of peaks per short-term period. We use the extreme.ste_peaks function to obtain an approximation for the number of peaks in a short-term period.
    N_st = number_of_short_term_peaks(npeaks, t_end, t_st);
    fprintf("Approximate number of peaks in a (3-hours) short-term period: %d",N_st)
    Approximate number of peaks in a (3-hours) short-term period: 915
    %
    ste_w_pdf = ste_peaks(peaks_w, N_st, x, "pdf");
    ste_w_cdf = ste_peaks(peaks_w, N_st, x, "cdf");
    ste_wtf_pdf = ste_peaks(peaks_wtf, N_st, x, "pdf");
    ste_wtf_cdf = ste_peaks(peaks_wtf, N_st, x, "cdf");
    ste_pot_pdf = ste_peaks(peaks_pot, N_st, x, "pdf");
    ste_pot_cdf = ste_peaks(peaks_pot, N_st, x, "cdf");
     
    % plot cdf and pdf
    figure;
    subplot(1,2,1); hold on;
    plot(x,ste_w_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_wtf_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_pot_pdf, 'green'); xlabel('elevation [m]'); ylabel('PDF')
    legend('Weibull','WTF','POT')
    subplot(1,2,2); hold on;
    plot(x,ste_w_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_wtf_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_pot_cdf, 'green'); xlabel('elevation [m]'); ylabel('CDF')

    The short_term_extreme function

    This example showed step-by-step how to estimate the short-term extreme using different methods. However for most use cases the results from the intermediate steps are not of interest. The estimated short-term extreme distribution can be obtained directly from a time-series of the response using the short_term_extreme function. For the methods based on fitting the peaks the time-series can be of arbitrary length, while for methods based on block maxima it should be many times longer than the short-term period.
    Note: This function is provided for convenience but the user should be aware of what is going on "under the hood" and ensure the method they choose is appropriate. For instance if using a block maxima method it is good practice to have at least 20 short-term periods worth of data.
    As an example the Weibull tail fit approximation of the short-term extreme distribution can be obtained in a single step. The function takes the time series (time, response), the desired short-term period, and the method as inputs.
    ste_wtf = short_term_extreme(time_1hr, qoi_1hr, t_st, "peaks_weibull_tail_fit", x, "pdf");
    + 95 percent interval: (0.049 m, 1.101 m)

    3. Obtain the short-term extreme distribution from the peaks distribution

    The short_term_extreme function


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It provides tools to find zero upcrossings, peaks, troughs, heights, periods, and allows for custom user-defined calculations between zero crossings. + +## Key Functions + +### `upcrossing(t, data)` +Finds the zero upcrossing points in the given time-series data. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. + +**Returns:** +- `inds` (array): Indices of zero upcrossing points. + +--- + +### `peaks(t, data, inds)` +Finds the peaks between zero upcrossings. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. +- `inds` (array, optional): Indices of the upcrossing points. + +**Returns:** +- `peaks` (array): Peak values between the zero upcrossings. + +--- + +### `troughs(t, data, inds)` +Finds the troughs between zero upcrossings. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. +- `inds` (array, optional): Indices of the upcrossing points. + +**Returns:** +- `troughs` (array): Trough values between the zero upcrossings. + +--- + +### `heights(t, data, inds)` +Calculates the height between zero upcrossings. The height is defined as the difference between the maximum and minimum values between each pair of zero crossings. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. +- `inds` (array, optional): Indices of the upcrossing points. + +**Returns:** +- `heights` (array): Height values between the zero upcrossings. + +--- + +### `periods(t, data, inds)` +Calculates the period between zero upcrossings. The period is the difference in time between each pair of consecutive upcrossings. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. +- `inds` (array, optional): Indices of the upcrossing points. + +**Returns:** +- `periods` (array): Period values between the zero upcrossings. + +--- + +### `custom(t, data, func, inds)` +Applies a custom user-defined function between zero upcrossing points. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. +- `func` (function handle): A custom function that will be applied between the zero crossing periods. +- `inds` (array, optional): Indices of the upcrossing points. + +**Returns:** +- `custom_vals` (array): Custom values calculated between the zero crossings. + +--- + +## Author(s) +- **mshabara** + +## Date +- 12/12/2024 diff --git a/mhkit/utils/upcrossing/uc_apply_.m b/mhkit/utils/upcrossing/uc_apply_.m new file mode 100644 index 000000000..f9bfeea3e --- /dev/null +++ b/mhkit/utils/upcrossing/uc_apply_.m @@ -0,0 +1,24 @@ +function vals = uc_apply_(t, data, f, inds) + % Apply a function `f` over intervals defined by `inds`. If `inds` is + % not provided, compute the indices using the upcrossing function. + + % Input: + % t : Array of time values. + % data : Array of data values. + % f : Function handle that takes two indices (start, end) and returns a scalar value. + % inds : Indices array (optional). If not provided, `upcrossing` will be used. + + % Output: + % vals : Array of values resulting from applying `f` over the intervals defined by `inds`. + + if nargin < 4 % If inds is not provided, compute using upcrossing + inds = upcrossing(t, data); + end + + n = numel(inds) - 1; % Number of intervals + vals = NaN(1, n); % Initialize the output array + + for i = 1:n + vals(i) = f(inds(i), inds(i+1)); % Apply the function to each pair of indices + end +end diff --git a/mhkit/utils/upcrossing/uc_custom.m b/mhkit/utils/upcrossing/uc_custom.m new file mode 100644 index 000000000..94cba21ca --- /dev/null +++ b/mhkit/utils/upcrossing/uc_custom.m @@ -0,0 +1,21 @@ +function custom_vals = uc_custom(t, data, func, inds) + % Applies a custom function to the time-series data between upcrossing points. + % + % Parameters: + % t - Time array. + % data - Signal time-series. + % func - Function to apply between the zero crossing periods. + % inds - Optional indices for the upcrossing. + % + % Returns: + % custom_vals - Custom values of the time-series + + if nargin < 4 + inds = upcrossing(t, data); + end + if ~isa(func, 'function_handle') + error('func must be a function handle'); + end + + custom_vals = uc_apply_(t, data, func, inds); +end diff --git a/mhkit/utils/upcrossing/uc_heights.m b/mhkit/utils/upcrossing/uc_heights.m new file mode 100644 index 000000000..ed3e9cf47 --- /dev/null +++ b/mhkit/utils/upcrossing/uc_heights.m @@ -0,0 +1,21 @@ +function heights = uc_heights(t, data, inds) + % Calculates the height between zero crossings. + % + % The height is defined as the max value - min value + % between the zero crossing points. + % + % Parameters: + % t - Time array. + % data - Signal time-series. + % inds - Optional indices for the upcrossing. + % + % Returns: + % heights - Height values of the time-series + + if nargin < 3 + inds = upcrossing(t, data); + end + + heights = up_apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)) - min(data(ind1:ind2)), inds); +end + diff --git a/mhkit/utils/upcrossing/uc_peaks.m b/mhkit/utils/upcrossing/uc_peaks.m new file mode 100644 index 000000000..0566f7512 --- /dev/null +++ b/mhkit/utils/upcrossing/uc_peaks.m @@ -0,0 +1,18 @@ +function peaks = peaks(t, data, inds) + % Finds the peaks between zero crossings. + % + % Parameters: + % t - Time array. + % data - Signal time-series. + % inds - Optional indices for the upcrossing. + % + % Returns: + % peaks - Peak values of the time-series + + if nargin < 3 + inds = upcrossing(t, data); + end + + peaks = apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)), inds); +end + diff --git a/mhkit/utils/upcrossing/uc_periods.m b/mhkit/utils/upcrossing/uc_periods.m new file mode 100644 index 000000000..f3353ffe7 --- /dev/null +++ b/mhkit/utils/upcrossing/uc_periods.m @@ -0,0 +1,17 @@ +function periods = uc_periods(t, data, inds) + % Calculates the period between zero crossings. + % + % Parameters: + % t - Time array. + % data - Signal time-series. + % inds - Optional indices for the upcrossing. + % + % Returns: + % periods - Period values of the time-series + + if nargin < 3 + inds = upcrossing(t, data); + end + + periods = up_apply_(t, data, @(ind1, ind2) t(ind2) - t(ind1), inds); +end \ No newline at end of file diff --git a/mhkit/utils/upcrossing/uc_troughs.m b/mhkit/utils/upcrossing/uc_troughs.m new file mode 100644 index 000000000..8955e513e --- /dev/null +++ b/mhkit/utils/upcrossing/uc_troughs.m @@ -0,0 +1,19 @@ +function troughs = uc_troughs(t, data, inds) + % Finds the troughs between zero crossings. + % + % Parameters: + % t - Time array. + % data - Signal time-series. + % inds - Optional indices for the upcrossing. + % + % Returns: + % troughs - Trough values of the time-series + + if nargin < 3 + inds = upcrossing(t, data); + end + + troughs = up_apply_(t, data, @(ind1, ind2) min(data(ind1:ind2)), inds); +end + + diff --git a/mhkit/utils/upcrossing/upcrossing.m b/mhkit/utils/upcrossing/upcrossing.m new file mode 100644 index 000000000..44b63f186 --- /dev/null +++ b/mhkit/utils/upcrossing/upcrossing.m @@ -0,0 +1,24 @@ +function zeroUpCrossings_index = upcrossing(t, data) + % Finds the zero upcrossing points. + % + % Parameters: + % t - Time array. + % data - Signal time series. + % + % Returns: + % Zero crossing indices + + if ~isvector(t) || ~isvector(data) + error('t and data must be 1D arrays'); + end + + % eliminate zeros + zeroMask = (data == 0); + data(zeroMask) = 0.5 * min(abs(data)); + + % zero up-crossings + diff_data = diff(sign(data)); + zeroUpCrossings_mask = (diff_data == 2) | (diff_data == 1); + zeroUpCrossings_index = find(zeroUpCrossings_mask); +end + From c0bd6e52766212193287335ab5172f493194fbe8 Mon Sep 17 00:00:00 2001 From: Shabara Date: Mon, 16 Dec 2024 10:56:33 -0700 Subject: [PATCH 02/18] Adds the test class for the upcrossing functions --- mhkit/tests/upcrossing_Test.m | 176 +++++ mhkit/tests/waveform_signal.txt | 1001 +++++++++++++++++++++++++++ mhkit/utils/upcrossing/uc_apply_.m | 7 +- mhkit/utils/upcrossing/uc_heights.m | 2 +- mhkit/utils/upcrossing/uc_peaks.m | 4 +- mhkit/utils/upcrossing/uc_periods.m | 2 +- mhkit/utils/upcrossing/uc_troughs.m | 2 +- 7 files changed, 1186 insertions(+), 8 deletions(-) create mode 100644 mhkit/tests/upcrossing_Test.m create mode 100644 mhkit/tests/waveform_signal.txt diff --git a/mhkit/tests/upcrossing_Test.m b/mhkit/tests/upcrossing_Test.m new file mode 100644 index 000000000..d47b7fce1 --- /dev/null +++ b/mhkit/tests/upcrossing_Test.m @@ -0,0 +1,176 @@ +classdef upcrossing_Test < matlab.unittest.TestCase + % Methods that ends with _ are private + properties + t + signal + zeroCrossApprox + end + + methods (TestClassSetup) + % Shared setup for the entire test class + function setupTestClass(testCase) + % Define time vector + testCase.t = linspace(0, 4, 1000); + + % Define signal + testCase.signal = testCase.exampleWaveform_(testCase.t); + + % Approximate zero crossings + testCase.zeroCrossApprox = [0, 2.1, 3, 3.8]; + end + + end + + methods (TestMethodSetup) + % Setup for each test + end + + % methods (Test) + % % Test methods + % + % function unimplementedTest(testCase) + % testCase.verifyFail("Unimplemented test"); + % end + % end + + methods + function signal = exampleWaveform_(~, t) + % Generate a simple waveform form to analyse + % This has been created to perform + % a simple independent calcuation that + % the mhkit functions can be tested against. + A = [0.5, 0.6, 0.3]; + T = [3, 2, 1]; + w = 2 * pi ./ T; + + signal = zeros(size(t)); + for i = 1:length(A) + signal = signal + A(i) * sin(w(i) * t); + end + end + + function [crests, troughs, heights, periods] = exampleAnalysis_(testCase, t, signal) + % NB: This only works due to the construction + % of our test signal. It is not suitable as + % a general approach. + + % Gradient-based turning point analysis + grad = diff(signal); + + % +1 to get the index at turning point + turningPoints = find(grad(1:end-1) .* grad(2:end) < 0) + 1; + + crestInds = turningPoints(signal(turningPoints) > 0); + troughInds = turningPoints(signal(turningPoints) < 0); + + crests = signal(crestInds); + troughs = signal(troughInds); + heights = crests - troughs; + + % Numerical zero-crossing solution + zeroCross = zeros(size(testCase.zeroCrossApprox)); + for i = 1:length(testCase.zeroCrossApprox) + zeroCross(i) = fzero(@(x) testCase.exampleWaveform_(x), ... + testCase.zeroCrossApprox(i)); + end + + periods = diff(zeroCross); + end + end + + methods (Test) + function testPeaks(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + got = uc_peaks(testCase.t, testCase.signal); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function testTroughs(testCase) + [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + got = uc_troughs(testCase.t, testCase.signal); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function testHeights(testCase) + [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + got = uc_heights(testCase.t, testCase.signal); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function testPeriods(testCase) + [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + got = uc_periods(testCase.t, testCase.signal); + + testCase.verifyEqual(got, want, 'AbsTol', 2e-3); + end + + function testCustom(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + % create a similar function to finding the peaks + f = @(ind1, ind2) max(testCase.signal(ind1:ind2)); + + got = uc_custom(testCase.t, testCase.signal, f); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + %% Test functions with indexs + function test_peaks_with_inds(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + inds = upcrossing(testCase.t, testCase.signal); + + got = uc_peaks(testCase.t, testCase.signal, inds); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function test_trough_with_inds(testCase) + [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + inds = upcrossing(testCase.t, testCase.signal); + + got = uc_troughs(testCase.t, testCase.signal, inds); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function test_heights_with_inds(testCase) + [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + inds = upcrossing(testCase.t, testCase.signal); + + got = uc_heights(testCase.t, testCase.signal, inds); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function test_periods_with_inds(testCase) + [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + inds = upcrossing(testCase.t, testCase.signal); + + got = uc_periods(testCase.t, testCase.signal,inds); + + testCase.verifyEqual(got, want, 'AbsTol', 2e-3); + end + + function test_custom_with_inds(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + inds = upcrossing(testCase.t, testCase.signal); + + % create a similar function to finding the peaks + f = @(ind1, ind2) max(testCase.signal(ind1:ind2)); + + got = uc_custom(testCase.t, testCase.signal, f, inds); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + end +end diff --git a/mhkit/tests/waveform_signal.txt b/mhkit/tests/waveform_signal.txt new file mode 100644 index 000000000..0a6df3614 --- /dev/null +++ b/mhkit/tests/waveform_signal.txt @@ -0,0 +1,1001 @@ +# Time Signal +0.000000 0.000000 +0.004004 0.019287 +0.008008 0.038567 +0.012012 0.057835 +0.016016 0.077084 +0.020020 0.096308 +0.024024 0.115501 +0.028028 0.134656 +0.032032 0.153768 +0.036036 0.172830 +0.040040 0.191836 +0.044044 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0.276514 +3.955956 0.289479 +3.959960 0.302476 +3.963964 0.315502 +3.967968 0.328549 +3.971972 0.341612 +3.975976 0.354685 +3.979980 0.367762 +3.983984 0.380838 +3.987988 0.393907 +3.991992 0.406963 +3.995996 0.420000 +4.000000 0.433013 diff --git a/mhkit/utils/upcrossing/uc_apply_.m b/mhkit/utils/upcrossing/uc_apply_.m index f9bfeea3e..54040ec17 100644 --- a/mhkit/utils/upcrossing/uc_apply_.m +++ b/mhkit/utils/upcrossing/uc_apply_.m @@ -11,12 +11,13 @@ % Output: % vals : Array of values resulting from applying `f` over the intervals defined by `inds`. - if nargin < 4 % If inds is not provided, compute using upcrossing + if nargin < 4 % nargin: returns the number of function input arguments given in the call + % If inds is not provided, compute using upcrossing inds = upcrossing(t, data); end - n = numel(inds) - 1; % Number of intervals - vals = NaN(1, n); % Initialize the output array + n = numel(inds) - 1; % Number of intervals + vals = zeros(1, n); % Initialize the output array for i = 1:n vals(i) = f(inds(i), inds(i+1)); % Apply the function to each pair of indices diff --git a/mhkit/utils/upcrossing/uc_heights.m b/mhkit/utils/upcrossing/uc_heights.m index ed3e9cf47..e59d13d58 100644 --- a/mhkit/utils/upcrossing/uc_heights.m +++ b/mhkit/utils/upcrossing/uc_heights.m @@ -16,6 +16,6 @@ inds = upcrossing(t, data); end - heights = up_apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)) - min(data(ind1:ind2)), inds); + heights = uc_apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)) - min(data(ind1:ind2)), inds); end diff --git a/mhkit/utils/upcrossing/uc_peaks.m b/mhkit/utils/upcrossing/uc_peaks.m index 0566f7512..c8d35bcff 100644 --- a/mhkit/utils/upcrossing/uc_peaks.m +++ b/mhkit/utils/upcrossing/uc_peaks.m @@ -1,4 +1,4 @@ -function peaks = peaks(t, data, inds) +function peaks = uc_peaks(t, data, inds) % Finds the peaks between zero crossings. % % Parameters: @@ -13,6 +13,6 @@ inds = upcrossing(t, data); end - peaks = apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)), inds); + peaks = uc_apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)), inds); end diff --git a/mhkit/utils/upcrossing/uc_periods.m b/mhkit/utils/upcrossing/uc_periods.m index f3353ffe7..8a46fff5f 100644 --- a/mhkit/utils/upcrossing/uc_periods.m +++ b/mhkit/utils/upcrossing/uc_periods.m @@ -13,5 +13,5 @@ inds = upcrossing(t, data); end - periods = up_apply_(t, data, @(ind1, ind2) t(ind2) - t(ind1), inds); + periods = uc_apply_(t, data, @(ind1, ind2) t(ind2) - t(ind1), inds); end \ No newline at end of file diff --git a/mhkit/utils/upcrossing/uc_troughs.m b/mhkit/utils/upcrossing/uc_troughs.m index 8955e513e..f450f47a6 100644 --- a/mhkit/utils/upcrossing/uc_troughs.m +++ b/mhkit/utils/upcrossing/uc_troughs.m @@ -13,7 +13,7 @@ inds = upcrossing(t, data); end - troughs = up_apply_(t, data, @(ind1, ind2) min(data(ind1:ind2)), inds); + troughs = uc_apply_(t, data, @(ind1, ind2) min(data(ind1:ind2)), inds); end From 3a7662dc7fc20ed68a7095db5c9bc548edb1b42e Mon Sep 17 00:00:00 2001 From: Shabara Date: Mon, 16 Dec 2024 11:09:51 -0700 Subject: [PATCH 03/18] Adds some comments --- mhkit/tests/upcrossing_Test.m | 36 +++++++++++++++++------------------ 1 file changed, 18 insertions(+), 18 deletions(-) diff --git a/mhkit/tests/upcrossing_Test.m b/mhkit/tests/upcrossing_Test.m index d47b7fce1..febbec83e 100644 --- a/mhkit/tests/upcrossing_Test.m +++ b/mhkit/tests/upcrossing_Test.m @@ -1,5 +1,4 @@ classdef upcrossing_Test < matlab.unittest.TestCase - % Methods that ends with _ are private properties t signal @@ -49,7 +48,7 @@ function setupTestClass(testCase) end end - function [crests, troughs, heights, periods] = exampleAnalysis_(testCase, t, signal) + function [crests, troughs, heights, periods] = exampleAnalysis_(testCase, signal) % NB: This only works due to the construction % of our test signal. It is not suitable as % a general approach. @@ -79,38 +78,39 @@ function setupTestClass(testCase) end methods (Test) - function testPeaks(testCase) - [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + %% Test functions without indices (inds) + function test_peaks(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.signal); got = uc_peaks(testCase.t, testCase.signal); testCase.verifyEqual(got, want, 'AbsTol', 1e-3); end - function testTroughs(testCase) - [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + function test_troughs(testCase) + [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.signal); got = uc_troughs(testCase.t, testCase.signal); testCase.verifyEqual(got, want, 'AbsTol', 1e-3); end - function testHeights(testCase) - [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + function test_heights(testCase) + [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.signal); got = uc_heights(testCase.t, testCase.signal); testCase.verifyEqual(got, want, 'AbsTol', 1e-3); end - function testPeriods(testCase) - [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + function test_periods(testCase) + [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.signal); got = uc_periods(testCase.t, testCase.signal); testCase.verifyEqual(got, want, 'AbsTol', 2e-3); end - function testCustom(testCase) - [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + function test_custom(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.signal); % create a similar function to finding the peaks f = @(ind1, ind2) max(testCase.signal(ind1:ind2)); @@ -120,9 +120,9 @@ function testCustom(testCase) testCase.verifyEqual(got, want, 'AbsTol', 1e-3); end - %% Test functions with indexs + %% Test functions with indcies function test_peaks_with_inds(testCase) - [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.signal); inds = upcrossing(testCase.t, testCase.signal); @@ -132,7 +132,7 @@ function test_peaks_with_inds(testCase) end function test_trough_with_inds(testCase) - [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.signal); inds = upcrossing(testCase.t, testCase.signal); @@ -142,7 +142,7 @@ function test_trough_with_inds(testCase) end function test_heights_with_inds(testCase) - [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.signal); inds = upcrossing(testCase.t, testCase.signal); @@ -152,7 +152,7 @@ function test_heights_with_inds(testCase) end function test_periods_with_inds(testCase) - [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.signal); inds = upcrossing(testCase.t, testCase.signal); got = uc_periods(testCase.t, testCase.signal,inds); @@ -161,7 +161,7 @@ function test_periods_with_inds(testCase) end function test_custom_with_inds(testCase) - [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.signal); inds = upcrossing(testCase.t, testCase.signal); % create a similar function to finding the peaks From aae8099815833c228488939074ba9151c73d039b Mon Sep 17 00:00:00 2001 From: Mohamed Shabara <84589678+MShabara@users.noreply.github.com> Date: Mon, 3 Feb 2025 10:12:25 -0700 Subject: [PATCH 04/18] Fixes Update docstrings, removes uncessary lines and txt file --- examples/environmental_contours_example.mlx | Bin 54138 -> 6547 bytes examples/extreme_response_contour_example.mlx | Bin 55391 -> 6588 bytes examples/wave_example.mlx | Bin 95413 -> 5171 bytes mhkit/tests/upcrossing_Test.m | 12 - mhkit/tests/waveform_signal.txt | 1001 ----------------- mhkit/utils/upcrossing/README.md | 4 +- mhkit/utils/upcrossing/uc_apply_.m | 56 +- mhkit/utils/upcrossing/uc_custom.m | 42 +- mhkit/utils/upcrossing/uc_heights.m | 40 +- mhkit/utils/upcrossing/uc_peaks.m | 35 +- mhkit/utils/upcrossing/uc_periods.m | 34 +- mhkit/utils/upcrossing/uc_troughs.m | 34 +- mhkit/utils/upcrossing/upcrossing.m | 43 +- mhkit/wave/resource/energy_period.m | 104 +- mhkit/wave/resource/significant_wave_height.m | 4 +- mhkit_python_utils/pandas_dataframe.py | 35 +- 16 files changed, 292 insertions(+), 1152 deletions(-) delete mode 100644 mhkit/tests/waveform_signal.txt diff --git a/examples/environmental_contours_example.mlx b/examples/environmental_contours_example.mlx index 47c84caf996b6f773351105a52f22c9992a443d0..e50dde412de96efa95afcd34df434a148f051bc1 100644 GIT binary patch delta 2399 zcmZ9Oc{J4D8^>o5qZ;eTUiK!ttmA7bYiMkPqD3-O#x|B2hKAADv*r5<{UnM+A&f2i zSaT%CAZtuYQL?XzzWlzOU+337=iWb_=RWUqp4WNq``qtOSpoGjPp~Wu1Oh?!wj?R`){zGFkluYAen}9BcVFvQ366mGBmB2u$mN~yxE8Fb4+W|7(7vXrcd#9Uf$U=kt(%a0WJDssI%dc6dL`G 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S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency(:,1)),li,x(2)); - elseif x(2)==1 - S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency),py.numpy.array(S.spectrum),x(2)); - end - - else - ME = MException('MATLAB:energy_period','S needs to be a structure or Pandas dataframe, use py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas to create one'); - throw(ME); - end -end +% % convert matlab structure to pandas.dataframe +% if (isa(S,'py.pandas.core.frame.DataFrame')~=1) +% +% if (isstruct(S)==1) +% x=size(S.spectrum); +% S_test = S; +% li=py.list(); +% if x(2)>1 +% for i = 1:x(2) +% app=py.list(double(S.spectrum(:,i))); +% li=py.mhkit_python_utils.pandas_dataframe.lis(li,app); +% +% end +% % S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas_v2(double(S.frequency(:,1)),S.spectrum(:,1),x(2)); +% % S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency(:,1)),li,x(2)); +% S = typecast_spectra_to_mhkit_python(double(S.frequency(:,1))); +% +% %% +% elseif x(2)==1 +% % S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency),py.numpy.array(S.spectrum),x(2)); +% +% end +% +% else +% ME = MException('MATLAB:energy_period','S needs to be a structure or Pandas dataframe, use py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas to create one'); +% throw(ME); +% end +% end % calculate enegery_period here Te=py.mhkit.wave.resource.energy_period(S,pyargs('frequency_bins',freq_bins)); Te=double(Te.values); +end +function df = typecast_spectra_to_mhkit_python(S) +% Initialize empty python list for column names +column_names = py.list(); + +% Check and correct frequency orientation if needed +if size(S.frequency, 1) ~= 1 + warning('Input frequency is not row-wise (1×N). Current shape is (%d×%d). Converting to row vector.', ... + size(S.frequency, 1), size(S.frequency, 2)); + S.frequency = S.frequency(:)'; % Convert frequency to row vector +end + +% Now we know frequency is row-wise, so only reshape spectrum if needed +if size(S.spectrum, 1) > 1 % spectrum is column vector + S.spectrum = S.spectrum(:)'; % Convert to row vector +end + +% Get dimensions of spectrum matrix +[rows, cols] = size(S.spectrum); + +% Create the frequency index +freq_index = py.numpy.array(S.frequency); + +% Handle single or multiple spectra +if rows == 1 + % Single spectrum case + spectrum_data = py.numpy.array(S.spectrum); + % Use type as column name, default to 'spectrum' if not provided + if isfield(S, 'type') + column_names.append(py.str(S.type)); + else + column_names.append(py.str('spectrum')); + end +else + % Multiple spectra case + % Convert all columns to numpy arrays and store column names + spectrum_data = py.numpy.zeros([rows, cols]); + for i = 1:rows + spectrum_data(:,i) = py.numpy.array(S.spectrum(:,i)); + % Generate column name for each spectrum + if isfield(S, 'type') && length(S.type) >= i + column_names.append(py.str(S.type{i})); + else + column_names.append(py.str(sprintf('spectrum_%d', i))); + end + end +end + +% Create pandas DataFrame with frequency as index +df = py.pandas.DataFrame(data=spectrum_data, ... + index=freq_index, ... + columns=column_names); +end \ No newline at end of file diff --git a/mhkit/wave/resource/significant_wave_height.m b/mhkit/wave/resource/significant_wave_height.m index cfb0144bd..253e3519b 100644 --- a/mhkit/wave/resource/significant_wave_height.m +++ b/mhkit/wave/resource/significant_wave_height.m @@ -55,9 +55,11 @@ li=py.mhkit_python_utils.pandas_dataframe.lis(li,app); end + S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(S.frequency(:,1),li,x(2)); elseif x(2)==1 - S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(S.frequency,py.numpy.array(S.spectrum),x(2)); + S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas_v2(S.frequency,py.numpy.array(S.spectrum),x(2)); + end else diff --git a/mhkit_python_utils/pandas_dataframe.py b/mhkit_python_utils/pandas_dataframe.py index 18ae59d39..8eca9da96 100644 --- a/mhkit_python_utils/pandas_dataframe.py +++ b/mhkit_python_utils/pandas_dataframe.py @@ -3,8 +3,8 @@ import pandas as pd import numpy as np - - +import scipy.io +import pdb def timeseries_to_pandas(ts,ind,x): if x>1: @@ -52,14 +52,42 @@ def list_to_series(input_list, index=None): def spectra_to_pandas(frequency,spectra,x,cols=None): if x>1: - ts=list(map(list,zip(*spectra))) + ts=list(map(list,zip(*spectra))) + print("ts = ", ts) df=pd.DataFrame(data=ts,index=frequency) + print("df = ", df) + else: df=pd.DataFrame(data=spectra,index=frequency) df.indexname='(Hz)' c_name=['PM'] if cols is not None: df.columns = cols + print("df.astype('float64') = ", df.astype('float64')) + return df.astype('float64') + +def spectra_to_pandas_v2(frequency, spectra, x, cols=None): + """ + Convert frequency and spectra data to pandas DataFrame. + """ + frequency = np.squeeze(frequency) # Ensure frequency is 1D + spectra = np.squeeze(spectra) # Ensure spectra has correct dimensions + + # Transpose if x > 1 (multiple columns in spectra) + if x > 1: + spectra = np.array(spectra) + if spectra.shape[1] != len(frequency): + spectra = spectra.T # Transpose if dimensions mismatch + ts = list(map(list, zip(*spectra))) + df = pd.DataFrame(data=ts, index=frequency) + else: + if len(spectra) != len(frequency): + raise ValueError("Spectra length does not match frequency length.") + df = pd.DataFrame(data=spectra, index=frequency) + df.index.name = '(Hz)' + df.columns = ['PM'] if cols is None else cols + + print(df) return df.astype('float64') @@ -77,3 +105,4 @@ def to_ordinal_fraction(x): return day + fraction + 366 return np.array(list(map(to_ordinal_fraction, df.index))) + From 7ec78ae686ee68e128230a3ce77e667f76c14166 Mon Sep 17 00:00:00 2001 From: Mohamed Shabara <84589678+MShabara@users.noreply.github.com> Date: Thu, 12 Dec 2024 14:44:44 -0700 Subject: [PATCH 05/18] upCrossing functions convert --- examples/adcp_example.mlx | Bin 213376 -> 187207 bytes examples/short_term_extremes_example.html | 52 +++++++------ examples/short_term_extremes_example.mlx | Bin 249450 -> 287112 bytes mhkit/utils/upcrossing/README.md | 89 ++++++++++++++++++++++ mhkit/utils/upcrossing/uc_apply_.m | 24 ++++++ mhkit/utils/upcrossing/uc_custom.m | 21 +++++ mhkit/utils/upcrossing/uc_heights.m | 21 +++++ mhkit/utils/upcrossing/uc_peaks.m | 18 +++++ mhkit/utils/upcrossing/uc_periods.m | 17 +++++ mhkit/utils/upcrossing/uc_troughs.m | 19 +++++ mhkit/utils/upcrossing/upcrossing.m | 24 ++++++ 11 files changed, 263 insertions(+), 22 deletions(-) create mode 100644 mhkit/utils/upcrossing/README.md create mode 100644 mhkit/utils/upcrossing/uc_apply_.m create mode 100644 mhkit/utils/upcrossing/uc_custom.m create mode 100644 mhkit/utils/upcrossing/uc_heights.m 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    MHKiT Short-term Extreme Loads

    1. Block maxima: approximate the short-term extreme distribution directly by fitting a probability distribution to the maxima from N distinct short-term blocks.
    2. Peaks distribution: approximate the short-term extreme distribution from the distribution of peaks from a time-series of arbitrary length.

    Block Maxima

    1. Find the maximum of each block

    2. Fit a distribution to the block maxima

    Peaks Distribution

    1. Find the global peaks

    2. Fit a distribution to the peaks

    1. Fit a Weibull distribution to all the peaks.
    2. Weibull tail fit: seven different weibull distributions are fit to successively smaller subsets of the highest peaks, and the peak distribution is taken as the average of these sevenn
    3. Peaks over threshold: a generalized Pareto distribution is fit to all peaks above a certain threshold, typically taken as 1.4 standard deviations above the mean.
    Weibull: +.S7 { margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; } +.S8 { border-left: 0.909091px solid rgb(217, 217, 217); border-right: 0.909091px solid rgb(217, 217, 217); border-top: 0px none rgb(0, 0, 0); border-bottom: 0px none rgb(0, 0, 0); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; } +.S9 { border-left: 0.909091px solid rgb(217, 217, 217); border-right: 0.909091px solid rgb(217, 217, 217); border-top: 0px none rgb(0, 0, 0); border-bottom: 0.909091px solid rgb(217, 217, 217); border-radius: 0px 0px 4px 4px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; } +.S10 { border-left: 0.909091px solid rgb(217, 217, 217); border-right: 0.909091px solid rgb(217, 217, 217); border-top: 0.909091px solid rgb(217, 217, 217); border-bottom: 0px none rgb(0, 0, 0); border-radius: 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; } +.S11 { margin: 15px 10px 5px 4px; padding: 0px; line-height: 18px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 17px; font-weight: 700; text-align: left; } +.S12 { margin: 10px 10px 5px 4px; padding: 0px; line-height: 18px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 15px; font-weight: 700; text-align: left; } +.S13 { border-left: 0.909091px solid rgb(217, 217, 217); border-right: 0.909091px solid rgb(217, 217, 217); border-top: 0.909091px solid rgb(217, 217, 217); border-bottom: 0.909091px solid rgb(217, 217, 217); border-radius: 0px; padding: 6px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; } +.S14 { border-left: 0.909091px solid rgb(217, 217, 217); border-right: 0.909091px solid rgb(217, 217, 217); border-top: 0.909091px solid rgb(217, 217, 217); border-bottom: 0.909091px solid rgb(217, 217, 217); border-radius: 4px; padding: 6px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; }

    MHKiT Short-term Extreme Loads

    Short-term extreme loads are typically required as part of a long-term extreme load estimate. A short-term extreme distribution is a probability distribution for the extreme value of a short-term (e.g. 3-hours) time-series.
    MHKiT includes functions adapted from the WDRT for estimating the short-term extreme distribution. Several methods are included, which can be divided into two main approaches:
    1. Block maxima: approximate the short-term extreme distribution directly by fitting a probability distribution to the maxima from N distinct short-term blocks.
    2. Peaks distribution: approximate the short-term extreme distribution from the distribution of peaks from a time-series of arbitrary length.
    The two sets of methods will be demonstrated.
    NOTE: This notebook will walk through the two different approaches, and each method in them. The short-term extremes will be obtained step-by-step showing the intermediate outputs. However, a convenience function, the loads.extreme.short_term_extreme function, can be be used directly in a single step. For this usage jump to the last section. It is recommended that you go over this entire example to understand what is going on "under the hood" prior to using this convenience function.
    The quantity (load) of interest can be anything related to the WEC, such as position (e.g. PTO extension, heave displacement), velocity, structural load, mooring loads, etc. For this example we will use the wave elevation as the quantity of interest, since such time-series can be easily created without having to run a WEC-modeling software. The short-term period of interest will be 3-hours.
    An important pre-processing step is making the time-series zero-mean. In this case, since wave elevation is zero-mean no pre-processing is needed.
    We first define the short-term period (3 hours).
    % short-term period in seconds
    t_st = 3.0 * 60.0 * 60.0
    t_st = 10800
    The methods based on peaks distributions require a single time series of any length while the methods based on block maxima require N time series of length equal to the short-term time period.
    We will now create N=10 time series of length equal to the short-term period (3 hours). For block maxima methods we will use all 10 and for peaks distribution methods we will only use the first hour of the first time-series. For the block maxima we use N=10 for speed considerations, but note that this would be inadequately small for most real applications.
    For the sake of example we will consider the wave elevation as the quantity of interest (can be thought as a proxy for heave motion in this example). Wave elevation time-series for a specific sea state can be created quickly without running any external software.
    NOTE: The code below is simply creating the synthetic data (wave elevation time series). In a realistic case the time series would be obtained externally, e.g. through simulation software such as WEC-Sim or CFD. For this reason the details of creating the synthetic data are not presented here, instead assume for the quantity of interest there are ten 3-hours time-series available.
    We start by creating the ten 3-hour time-series of the quantity of interest. We do this with a list comprehension and using the wave.resource.surface_elevation function. The result is a list of 10 different time-series. Alternatively we could have created a single time-series of length N times the short-term period (30 hours) and used the extreme.block_maxima function to split it into blocks and return the block maxima.
    % JONSWAP spectrum for creating short-term time-series
    T_min = 1; % s
    Tp = 8; % s
    Hs = 1.5; % m
    df = 1/t_st;
    f_max = 1/T_min;
    Nf = f_max/df + 1;
    f = linspace(0.0, f_max, Nf);
    S = jonswap_spectrum(f, Tp, Hs);
     
    % time in seconds
    time = linspace(0, t_st, 2*Nf+1);
     
    % qoi timeseries
    qoi_timeseries = surface_elevation(S, time);
    qoi = qoi_timeseries.elevation;
    We can view the different time-series. Change value of i below to plot a different time-series. Below we plot both the full 3 hours time series and the first 2 minutes to get a better look at the behavior of the response.
    figure;
    plot(time, qoi)
    title("Full 3 hours"); xlabel("time [s]"); ylabel("elevation [m]")
    figure;
    plot(time(1:120), qoi(1:120))
    title("First 2 minutes"); xlabel("time [s]"); ylabel("elevation [m]")

    Block Maxima

    The short-term extreme distribution can be estimated directly from N time-series of short-term period. These time-series can be obtained, for instance, from N distinct simulations of the quantity of interest, or alternatively by dividing a long time-series of the quantity of interest into blocks of length equal to the short-term period. In this example we will divide our 3 hour time series into 10-minute segments for speed considerations, but this would be inadequately small for most real applications.

    1. Find the maximum of each block

    The first step is to get the maximum in each block, i.e. in each of the 10-minute time series. We can use the block_maxima funtion to do this for us.
    % split time series into 10-minute (600s) segments
    block_max = block_maxima(time, qoi', 600);
    We can also visualize this result, which represents the maximum elevation of each 10-minute segment for the 3 hour period we are analyzing.
    figure;
    plot(block_max, 'o'); grid on; xticks(0:1:19); ylim([0,2])
    xlabel('block #'); ylabel('block max elevation [m]'); title('Block maxima')

    2. Fit a distribution to the block maxima

    We can now get the short-term extreme distribution by fitting either a generalized extreme value distribution or a Gumbel (right) distributions to these N=18 maxima. We will compare both methods.
    % generalized extreme value distribution
    x = linspace(0,3,1000);
    ste_gev_pdf = ste_block_maxima_gev(block_max, x, "pdf");
    ste_gev_cdf = ste_block_maxima_gev(block_max, x, "cdf");
    ste_gum_pdf = ste_block_maxima_gumbel(block_max, x, "pdf");
    ste_gum_cdf = ste_block_maxima_gumbel(block_max, x, "cdf");
    The outputs of these functions are probability distributions. Here we will plot the CDF and PDF and print the 95% interval for both methods.
    % plot cdf and pdf
    subplot(1,2,1); hold on;
    plot(x,ste_gev_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_gum_pdf); xlabel('elevation [m]'); ylabel('PDF')
    legend('GEV','Gumbel')
    subplot(1,2,2); hold on;
    plot(x,ste_gev_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_gum_cdf); xlabel('elevation [m]'); ylabel('CDF')
    fprintf('GEV:\n 95 percent interval: (%.3f m, %.3f m)',ste_block_maxima_gev(block_max, 0.025, "ppf"),ste_block_maxima_gev(block_max, 0.975, "ppf"))
    GEV: + 95 percent interval: (1.081 m, 1.459 m)
    fprintf('GUMBEL:\n 95 percent interval: (%.3f m, %.3f m)',ste_block_maxima_gumbel(block_max, 0.025, "ppf"),ste_block_maxima_gumbel(block_max, 0.975, "ppf"))
    GUMBEL: + 95 percent interval: (1.084 m, 1.483 m)

    Peaks Distribution

    The block maxima approach is the most direct way to approximate the short-term extreme but it requires a lot of data (N timeseries of length equal to the short-term period). An alternative approach approximates the short-term extreme from a timeseries of arbitrary length, even shorter than the short-term period, by fitting a distribution to the peaks of the timeseries.
    To demonstrate these methods we will approximate the 3-hour short-term extreme distribution from a single 1-hour timeseries.
    We start by generating this 1-hour response timeseries.
    t_end = 1.0 * 60.0 * 60.0;
    qoi_1hr = qoi(1:t_end);
    time_1hr = time(1:t_end);
    % visualize
    figure;
    plot(time_1hr, qoi_1hr)
    title("1 hour"); xlabel("time [s]"); ylabel("elevation [m]")

    1. Find the global peaks

    The global peaks are the maximum between succesive zero-upcrossings. We use the extreme.global_peaks function to find these peaks.
    [t_peaks, qoi_peaks] = global_peaks(time_1hr, qoi_1hr);
    npeaks = length(qoi_peaks)
    npeaks = 305
    We will plot the entire time-series and the global peaks and then zoom in on the first 2 minutes.
    figure; hold on;
    plot(time_1hr, qoi_1hr)
    title("1 hour"); xlabel("time [s]"); ylabel("elevation [m]")
    scatter(t_peaks, qoi_peaks)
    yline(0)
    figure; hold on;
    plot(time_1hr, qoi_1hr)
    title("1 hour"); xlabel("time [s]"); ylabel("elevation [m]")
    scatter(t_peaks, qoi_peaks, 'filled')
    yline(0)
    xlim([0,120])

    2. Fit a distribution to the peaks

    MHKiT has three methods for doing this.
    1. Fit a Weibull distribution to all the peaks.
    2. Weibull tail fit: seven different weibull distributions are fit to successively smaller subsets of the highest peaks, and the peak distribution is taken as the average of these sevenn
    3. Peaks over threshold: a generalized Pareto distribution is fit to all peaks above a certain threshold, typically taken as 1.4 standard deviations above the mean.
    We will now compare the results from these three methods. For the peaks over threshold we will take the threshold (variable thresh below) to be 1.4 standard deviations above the mean. Note in this example, we are also storing the python statistical object. This is something we will need in the step!
    % Weibull
    [peaks_w_pdf, peaks_w] = peaks_distribution_weibull(qoi_peaks, x, "pdf");
    peaks_w_cdf = peaks_distribution_weibull(qoi_peaks, x, "cdf");
    % Weibull tail fit
    [peaks_wtf_pdf, peaks_wtf] = peaks_distribution_weibull_tail_fit(qoi_peaks, x, "pdf");
    peaks_wtf_cdf = peaks_distribution_weibull_tail_fit(qoi_peaks, x, "cdf");
    % peaks over threshold
    thresh = mean(qoi_peaks) + 1.4 * std(qoi_peaks);
    [peaks_pot_pdf, peaks_pot] = peaks_distribution_peaks_over_threshold(qoi_peaks, x, "pdf", "threshold", thresh);
    peaks_pot_cdf = peaks_distribution_peaks_over_threshold(qoi_peaks, x, "cdf", "threshold", thresh);
    We will plot both the PDF and CDF of the peaks distribution, and obtain the 95% interval for each distribution. Note however that for the peaks over threshold method the distribution is only defined for values over the threshold, and many of the functionalities that require the entire distribution are therefore not available.
    % plot cdf and pdf
    subplot(1,2,1); hold on;
    plot(x,peaks_w_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,peaks_wtf_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,peaks_pot_pdf,'green'); xlabel('elevation [m]'); ylabel('PDF')
    legend('Weibull','WTF','POT')
    subplot(1,2,2); hold on;
    plot(x,peaks_w_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,peaks_wtf_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,peaks_pot_cdf, 'green'); xlabel('elevation [m]'); ylabel('CDF')
    s1 = sprintf('Weibull:\n 95 percent interval: (%.3f m, %.3f m)\n',peaks_distribution_weibull(qoi_peaks,0.025,"ppf"),peaks_distribution_weibull(qoi_peaks,0.975,"ppf"));
    s2 = sprintf('Weibull tail fit:\n 95 percent interval: (%.3f m, %.3f m)',peaks_distribution_weibull_tail_fit(qoi_peaks,0.025,"ppf"),peaks_distribution_weibull_tail_fit(qoi_peaks,0.975,"ppf"));
    disp([s1, s2])
    Weibull: 95 percent interval: (0.055 m, 1.122 m) Weibull tail fit: - 95 percent interval: (0.049 m, 1.101 m)

    3. Obtain the short-term extreme distribution from the peaks distribution

    We do this using the peaks distribution and an approximation for the number of peaks per short-term period. We use the extreme.ste_peaks function to obtain an approximation for the number of peaks in a short-term period.
    N_st = number_of_short_term_peaks(npeaks, t_end, t_st);
    fprintf("Approximate number of peaks in a (3-hours) short-term period: %d",N_st)
    Approximate number of peaks in a (3-hours) short-term period: 915
    %
    ste_w_pdf = ste_peaks(peaks_w, N_st, x, "pdf");
    ste_w_cdf = ste_peaks(peaks_w, N_st, x, "cdf");
    ste_wtf_pdf = ste_peaks(peaks_wtf, N_st, x, "pdf");
    ste_wtf_cdf = ste_peaks(peaks_wtf, N_st, x, "cdf");
    ste_pot_pdf = ste_peaks(peaks_pot, N_st, x, "pdf");
    ste_pot_cdf = ste_peaks(peaks_pot, N_st, x, "cdf");
     
    % plot cdf and pdf
    figure;
    subplot(1,2,1); hold on;
    plot(x,ste_w_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_wtf_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_pot_pdf, 'green'); xlabel('elevation [m]'); ylabel('PDF')
    legend('Weibull','WTF','POT')
    subplot(1,2,2); hold on;
    plot(x,ste_w_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_wtf_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_pot_cdf, 'green'); xlabel('elevation [m]'); ylabel('CDF')

    The short_term_extreme function

    This example showed step-by-step how to estimate the short-term extreme using different methods. However for most use cases the results from the intermediate steps are not of interest. The estimated short-term extreme distribution can be obtained directly from a time-series of the response using the short_term_extreme function. For the methods based on fitting the peaks the time-series can be of arbitrary length, while for methods based on block maxima it should be many times longer than the short-term period.
    Note: This function is provided for convenience but the user should be aware of what is going on "under the hood" and ensure the method they choose is appropriate. For instance if using a block maxima method it is good practice to have at least 20 short-term periods worth of data.
    As an example the Weibull tail fit approximation of the short-term extreme distribution can be obtained in a single step. The function takes the time series (time, response), the desired short-term period, and the method as inputs.
    ste_wtf = short_term_extreme(time_1hr, qoi_1hr, t_st, "peaks_weibull_tail_fit", x, "pdf");
    + 95 percent interval: (0.049 m, 1.101 m)

    3. Obtain the short-term extreme distribution from the peaks distribution

    The short_term_extreme function


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It provides tools to find zero upcrossings, peaks, troughs, heights, periods, and allows for custom user-defined calculations between zero crossings. + +## Key Functions + +### `upcrossing(t, data)` +Finds the zero upcrossing points in the given time-series data. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. + +**Returns:** +- `inds` (array): Indices of zero upcrossing points. + +--- + +### `peaks(t, data, inds)` +Finds the peaks between zero upcrossings. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. +- `inds` (array, optional): Indices of the upcrossing points. + +**Returns:** +- `peaks` (array): Peak values between the zero upcrossings. + +--- + +### `troughs(t, data, inds)` +Finds the troughs between zero upcrossings. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. +- `inds` (array, optional): Indices of the upcrossing points. + +**Returns:** +- `troughs` (array): Trough values between the zero upcrossings. + +--- + +### `heights(t, data, inds)` +Calculates the height between zero upcrossings. The height is defined as the difference between the maximum and minimum values between each pair of zero crossings. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. +- `inds` (array, optional): Indices of the upcrossing points. + +**Returns:** +- `heights` (array): Height values between the zero upcrossings. + +--- + +### `periods(t, data, inds)` +Calculates the period between zero upcrossings. The period is the difference in time between each pair of consecutive upcrossings. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. +- `inds` (array, optional): Indices of the upcrossing points. + +**Returns:** +- `periods` (array): Period values between the zero upcrossings. + +--- + +### `custom(t, data, func, inds)` +Applies a custom user-defined function between zero upcrossing points. + +**Parameters:** +- `t` (array): Time array. +- `data` (array): Signal time-series data. +- `func` (function handle): A custom function that will be applied between the zero crossing periods. +- `inds` (array, optional): Indices of the upcrossing points. + +**Returns:** +- `custom_vals` (array): Custom values calculated between the zero crossings. + +--- + +## Author(s) +- **mshabara** + +## Date +- 12/12/2024 diff --git a/mhkit/utils/upcrossing/uc_apply_.m b/mhkit/utils/upcrossing/uc_apply_.m new file mode 100644 index 000000000..f9bfeea3e --- /dev/null +++ b/mhkit/utils/upcrossing/uc_apply_.m @@ -0,0 +1,24 @@ +function vals = uc_apply_(t, data, f, inds) + % Apply a function `f` over intervals defined by `inds`. If `inds` is + % not provided, compute the indices using the upcrossing function. + + % Input: + % t : Array of time values. + % data : Array of data values. + % f : Function handle that takes two indices (start, end) and returns a scalar value. + % inds : Indices array (optional). If not provided, `upcrossing` will be used. + + % Output: + % vals : Array of values resulting from applying `f` over the intervals defined by `inds`. + + if nargin < 4 % If inds is not provided, compute using upcrossing + inds = upcrossing(t, data); + end + + n = numel(inds) - 1; % Number of intervals + vals = NaN(1, n); % Initialize the output array + + for i = 1:n + vals(i) = f(inds(i), inds(i+1)); % Apply the function to each pair of indices + end +end diff --git a/mhkit/utils/upcrossing/uc_custom.m b/mhkit/utils/upcrossing/uc_custom.m new file mode 100644 index 000000000..94cba21ca --- /dev/null +++ b/mhkit/utils/upcrossing/uc_custom.m @@ -0,0 +1,21 @@ +function custom_vals = uc_custom(t, data, func, inds) + % Applies a custom function to the time-series data between upcrossing points. + % + % Parameters: + % t - Time array. + % data - Signal time-series. + % func - Function to apply between the zero crossing periods. + % inds - Optional indices for the upcrossing. + % + % Returns: + % custom_vals - Custom values of the time-series + + if nargin < 4 + inds = upcrossing(t, data); + end + if ~isa(func, 'function_handle') + error('func must be a function handle'); + end + + custom_vals = uc_apply_(t, data, func, inds); +end diff --git a/mhkit/utils/upcrossing/uc_heights.m b/mhkit/utils/upcrossing/uc_heights.m new file mode 100644 index 000000000..ed3e9cf47 --- /dev/null +++ b/mhkit/utils/upcrossing/uc_heights.m @@ -0,0 +1,21 @@ +function heights = uc_heights(t, data, inds) + % Calculates the height between zero crossings. + % + % The height is defined as the max value - min value + % between the zero crossing points. + % + % Parameters: + % t - Time array. + % data - Signal time-series. + % inds - Optional indices for the upcrossing. + % + % Returns: + % heights - Height values of the time-series + + if nargin < 3 + inds = upcrossing(t, data); + end + + heights = up_apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)) - min(data(ind1:ind2)), inds); +end + diff --git a/mhkit/utils/upcrossing/uc_peaks.m b/mhkit/utils/upcrossing/uc_peaks.m new file mode 100644 index 000000000..0566f7512 --- /dev/null +++ b/mhkit/utils/upcrossing/uc_peaks.m @@ -0,0 +1,18 @@ +function peaks = peaks(t, data, inds) + % Finds the peaks between zero crossings. + % + % Parameters: + % t - Time array. + % data - Signal time-series. + % inds - Optional indices for the upcrossing. + % + % Returns: + % peaks - Peak values of the time-series + + if nargin < 3 + inds = upcrossing(t, data); + end + + peaks = apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)), inds); +end + diff --git a/mhkit/utils/upcrossing/uc_periods.m b/mhkit/utils/upcrossing/uc_periods.m new file mode 100644 index 000000000..f3353ffe7 --- /dev/null +++ b/mhkit/utils/upcrossing/uc_periods.m @@ -0,0 +1,17 @@ +function periods = uc_periods(t, data, inds) + % Calculates the period between zero crossings. + % + % Parameters: + % t - Time array. + % data - Signal time-series. + % inds - Optional indices for the upcrossing. + % + % Returns: + % periods - Period values of the time-series + + if nargin < 3 + inds = upcrossing(t, data); + end + + periods = up_apply_(t, data, @(ind1, ind2) t(ind2) - t(ind1), inds); +end \ No newline at end of file diff --git a/mhkit/utils/upcrossing/uc_troughs.m b/mhkit/utils/upcrossing/uc_troughs.m new file mode 100644 index 000000000..8955e513e --- /dev/null +++ b/mhkit/utils/upcrossing/uc_troughs.m @@ -0,0 +1,19 @@ +function troughs = uc_troughs(t, data, inds) + % Finds the troughs between zero crossings. + % + % Parameters: + % t - Time array. + % data - Signal time-series. + % inds - Optional indices for the upcrossing. + % + % Returns: + % troughs - Trough values of the time-series + + if nargin < 3 + inds = upcrossing(t, data); + end + + troughs = up_apply_(t, data, @(ind1, ind2) min(data(ind1:ind2)), inds); +end + + diff --git a/mhkit/utils/upcrossing/upcrossing.m b/mhkit/utils/upcrossing/upcrossing.m new file mode 100644 index 000000000..44b63f186 --- /dev/null +++ b/mhkit/utils/upcrossing/upcrossing.m @@ -0,0 +1,24 @@ +function zeroUpCrossings_index = upcrossing(t, data) + % Finds the zero upcrossing points. + % + % Parameters: + % t - Time array. + % data - Signal time series. + % + % Returns: + % Zero crossing indices + + if ~isvector(t) || ~isvector(data) + error('t and data must be 1D arrays'); + end + + % eliminate zeros + zeroMask = (data == 0); + data(zeroMask) = 0.5 * min(abs(data)); + + % zero up-crossings + diff_data = diff(sign(data)); + zeroUpCrossings_mask = (diff_data == 2) | (diff_data == 1); + zeroUpCrossings_index = find(zeroUpCrossings_mask); +end + From b3307c8414a97542114148e84fac78295ab97ec7 Mon Sep 17 00:00:00 2001 From: Shabara Date: Mon, 16 Dec 2024 10:56:33 -0700 Subject: [PATCH 06/18] Adds the test class for the upcrossing functions --- mhkit/tests/upcrossing_Test.m | 176 +++++ mhkit/tests/waveform_signal.txt | 1001 +++++++++++++++++++++++++++ mhkit/utils/upcrossing/uc_apply_.m | 7 +- mhkit/utils/upcrossing/uc_heights.m | 2 +- mhkit/utils/upcrossing/uc_peaks.m | 4 +- mhkit/utils/upcrossing/uc_periods.m | 2 +- mhkit/utils/upcrossing/uc_troughs.m | 2 +- 7 files changed, 1186 insertions(+), 8 deletions(-) create mode 100644 mhkit/tests/upcrossing_Test.m create mode 100644 mhkit/tests/waveform_signal.txt diff --git a/mhkit/tests/upcrossing_Test.m b/mhkit/tests/upcrossing_Test.m new file mode 100644 index 000000000..d47b7fce1 --- /dev/null +++ b/mhkit/tests/upcrossing_Test.m @@ -0,0 +1,176 @@ +classdef upcrossing_Test < matlab.unittest.TestCase + % Methods that ends with _ are private + properties + t + signal + zeroCrossApprox + end + + methods (TestClassSetup) + % Shared setup for the entire test class + function setupTestClass(testCase) + % Define time vector + testCase.t = linspace(0, 4, 1000); + + % Define signal + testCase.signal = testCase.exampleWaveform_(testCase.t); + + % Approximate zero crossings + testCase.zeroCrossApprox = [0, 2.1, 3, 3.8]; + end + + end + + methods (TestMethodSetup) + % Setup for each test + end + + % methods (Test) + % % Test methods + % + % function unimplementedTest(testCase) + % testCase.verifyFail("Unimplemented test"); + % end + % end + + methods + function signal = exampleWaveform_(~, t) + % Generate a simple waveform form to analyse + % This has been created to perform + % a simple independent calcuation that + % the mhkit functions can be tested against. + A = [0.5, 0.6, 0.3]; + T = [3, 2, 1]; + w = 2 * pi ./ T; + + signal = zeros(size(t)); + for i = 1:length(A) + signal = signal + A(i) * sin(w(i) * t); + end + end + + function [crests, troughs, heights, periods] = exampleAnalysis_(testCase, t, signal) + % NB: This only works due to the construction + % of our test signal. It is not suitable as + % a general approach. + + % Gradient-based turning point analysis + grad = diff(signal); + + % +1 to get the index at turning point + turningPoints = find(grad(1:end-1) .* grad(2:end) < 0) + 1; + + crestInds = turningPoints(signal(turningPoints) > 0); + troughInds = turningPoints(signal(turningPoints) < 0); + + crests = signal(crestInds); + troughs = signal(troughInds); + heights = crests - troughs; + + % Numerical zero-crossing solution + zeroCross = zeros(size(testCase.zeroCrossApprox)); + for i = 1:length(testCase.zeroCrossApprox) + zeroCross(i) = fzero(@(x) testCase.exampleWaveform_(x), ... + testCase.zeroCrossApprox(i)); + end + + periods = diff(zeroCross); + end + end + + methods (Test) + function testPeaks(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + got = uc_peaks(testCase.t, testCase.signal); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function testTroughs(testCase) + [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + got = uc_troughs(testCase.t, testCase.signal); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function testHeights(testCase) + [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + got = uc_heights(testCase.t, testCase.signal); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function testPeriods(testCase) + [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + got = uc_periods(testCase.t, testCase.signal); + + testCase.verifyEqual(got, want, 'AbsTol', 2e-3); + end + + function testCustom(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + % create a similar function to finding the peaks + f = @(ind1, ind2) max(testCase.signal(ind1:ind2)); + + got = uc_custom(testCase.t, testCase.signal, f); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + %% Test functions with indexs + function test_peaks_with_inds(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + inds = upcrossing(testCase.t, testCase.signal); + + got = uc_peaks(testCase.t, testCase.signal, inds); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function test_trough_with_inds(testCase) + [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + inds = upcrossing(testCase.t, testCase.signal); + + got = uc_troughs(testCase.t, testCase.signal, inds); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function test_heights_with_inds(testCase) + [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + + inds = upcrossing(testCase.t, testCase.signal); + + got = uc_heights(testCase.t, testCase.signal, inds); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + function test_periods_with_inds(testCase) + [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + inds = upcrossing(testCase.t, testCase.signal); + + got = uc_periods(testCase.t, testCase.signal,inds); + + testCase.verifyEqual(got, want, 'AbsTol', 2e-3); + end + + function test_custom_with_inds(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + inds = upcrossing(testCase.t, testCase.signal); + + % create a similar function to finding the peaks + f = @(ind1, ind2) max(testCase.signal(ind1:ind2)); + + got = uc_custom(testCase.t, testCase.signal, f, inds); + + testCase.verifyEqual(got, want, 'AbsTol', 1e-3); + end + + end +end diff --git a/mhkit/tests/waveform_signal.txt b/mhkit/tests/waveform_signal.txt new file mode 100644 index 000000000..0a6df3614 --- /dev/null +++ b/mhkit/tests/waveform_signal.txt @@ -0,0 +1,1001 @@ +# Time Signal +0.000000 0.000000 +0.004004 0.019287 +0.008008 0.038567 +0.012012 0.057835 +0.016016 0.077084 +0.020020 0.096308 +0.024024 0.115501 +0.028028 0.134656 +0.032032 0.153768 +0.036036 0.172830 +0.040040 0.191836 +0.044044 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0.276514 +3.955956 0.289479 +3.959960 0.302476 +3.963964 0.315502 +3.967968 0.328549 +3.971972 0.341612 +3.975976 0.354685 +3.979980 0.367762 +3.983984 0.380838 +3.987988 0.393907 +3.991992 0.406963 +3.995996 0.420000 +4.000000 0.433013 diff --git a/mhkit/utils/upcrossing/uc_apply_.m b/mhkit/utils/upcrossing/uc_apply_.m index f9bfeea3e..54040ec17 100644 --- a/mhkit/utils/upcrossing/uc_apply_.m +++ b/mhkit/utils/upcrossing/uc_apply_.m @@ -11,12 +11,13 @@ % Output: % vals : Array of values resulting from applying `f` over the intervals defined by `inds`. - if nargin < 4 % If inds is not provided, compute using upcrossing + if nargin < 4 % nargin: returns the number of function input arguments given in the call + % If inds is not provided, compute using upcrossing inds = upcrossing(t, data); end - n = numel(inds) - 1; % Number of intervals - vals = NaN(1, n); % Initialize the output array + n = numel(inds) - 1; % Number of intervals + vals = zeros(1, n); % Initialize the output array for i = 1:n vals(i) = f(inds(i), inds(i+1)); % Apply the function to each pair of indices diff --git a/mhkit/utils/upcrossing/uc_heights.m b/mhkit/utils/upcrossing/uc_heights.m index ed3e9cf47..e59d13d58 100644 --- a/mhkit/utils/upcrossing/uc_heights.m +++ b/mhkit/utils/upcrossing/uc_heights.m @@ -16,6 +16,6 @@ inds = upcrossing(t, data); end - heights = up_apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)) - min(data(ind1:ind2)), inds); + heights = uc_apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)) - min(data(ind1:ind2)), inds); end diff --git a/mhkit/utils/upcrossing/uc_peaks.m b/mhkit/utils/upcrossing/uc_peaks.m index 0566f7512..c8d35bcff 100644 --- a/mhkit/utils/upcrossing/uc_peaks.m +++ b/mhkit/utils/upcrossing/uc_peaks.m @@ -1,4 +1,4 @@ -function peaks = peaks(t, data, inds) +function peaks = uc_peaks(t, data, inds) % Finds the peaks between zero crossings. % % Parameters: @@ -13,6 +13,6 @@ inds = upcrossing(t, data); end - peaks = apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)), inds); + peaks = uc_apply_(t, data, @(ind1, ind2) max(data(ind1:ind2)), inds); end diff --git a/mhkit/utils/upcrossing/uc_periods.m b/mhkit/utils/upcrossing/uc_periods.m index f3353ffe7..8a46fff5f 100644 --- a/mhkit/utils/upcrossing/uc_periods.m +++ b/mhkit/utils/upcrossing/uc_periods.m @@ -13,5 +13,5 @@ inds = upcrossing(t, data); end - periods = up_apply_(t, data, @(ind1, ind2) t(ind2) - t(ind1), inds); + periods = uc_apply_(t, data, @(ind1, ind2) t(ind2) - t(ind1), inds); end \ No newline at end of file diff --git a/mhkit/utils/upcrossing/uc_troughs.m b/mhkit/utils/upcrossing/uc_troughs.m index 8955e513e..f450f47a6 100644 --- a/mhkit/utils/upcrossing/uc_troughs.m +++ b/mhkit/utils/upcrossing/uc_troughs.m @@ -13,7 +13,7 @@ inds = upcrossing(t, data); end - troughs = up_apply_(t, data, @(ind1, ind2) min(data(ind1:ind2)), inds); + troughs = uc_apply_(t, data, @(ind1, ind2) min(data(ind1:ind2)), inds); end From f03c836ec0b2702f02ed89866c9af508b17d95ca Mon Sep 17 00:00:00 2001 From: Shabara Date: Mon, 16 Dec 2024 11:09:51 -0700 Subject: [PATCH 07/18] Adds some comments --- mhkit/tests/upcrossing_Test.m | 36 +++++++++++++++++------------------ 1 file changed, 18 insertions(+), 18 deletions(-) diff --git a/mhkit/tests/upcrossing_Test.m b/mhkit/tests/upcrossing_Test.m index d47b7fce1..febbec83e 100644 --- a/mhkit/tests/upcrossing_Test.m +++ b/mhkit/tests/upcrossing_Test.m @@ -1,5 +1,4 @@ classdef upcrossing_Test < matlab.unittest.TestCase - % Methods that ends with _ are private properties t signal @@ -49,7 +48,7 @@ function setupTestClass(testCase) end end - function [crests, troughs, heights, periods] = exampleAnalysis_(testCase, t, signal) + function [crests, troughs, heights, periods] = exampleAnalysis_(testCase, signal) % NB: This only works due to the construction % of our test signal. It is not suitable as % a general approach. @@ -79,38 +78,39 @@ function setupTestClass(testCase) end methods (Test) - function testPeaks(testCase) - [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + %% Test functions without indices (inds) + function test_peaks(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.signal); got = uc_peaks(testCase.t, testCase.signal); testCase.verifyEqual(got, want, 'AbsTol', 1e-3); end - function testTroughs(testCase) - [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + function test_troughs(testCase) + [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.signal); got = uc_troughs(testCase.t, testCase.signal); testCase.verifyEqual(got, want, 'AbsTol', 1e-3); end - function testHeights(testCase) - [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + function test_heights(testCase) + [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.signal); got = uc_heights(testCase.t, testCase.signal); testCase.verifyEqual(got, want, 'AbsTol', 1e-3); end - function testPeriods(testCase) - [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + function test_periods(testCase) + [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.signal); got = uc_periods(testCase.t, testCase.signal); testCase.verifyEqual(got, want, 'AbsTol', 2e-3); end - function testCustom(testCase) - [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + function test_custom(testCase) + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.signal); % create a similar function to finding the peaks f = @(ind1, ind2) max(testCase.signal(ind1:ind2)); @@ -120,9 +120,9 @@ function testCustom(testCase) testCase.verifyEqual(got, want, 'AbsTol', 1e-3); end - %% Test functions with indexs + %% Test functions with indcies function test_peaks_with_inds(testCase) - [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.signal); inds = upcrossing(testCase.t, testCase.signal); @@ -132,7 +132,7 @@ function test_peaks_with_inds(testCase) end function test_trough_with_inds(testCase) - [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + [~, want, ~, ~] = testCase.exampleAnalysis_(testCase.signal); inds = upcrossing(testCase.t, testCase.signal); @@ -142,7 +142,7 @@ function test_trough_with_inds(testCase) end function test_heights_with_inds(testCase) - [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + [~, ~, want, ~] = testCase.exampleAnalysis_(testCase.signal); inds = upcrossing(testCase.t, testCase.signal); @@ -152,7 +152,7 @@ function test_heights_with_inds(testCase) end function test_periods_with_inds(testCase) - [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + [~, ~, ~, want] = testCase.exampleAnalysis_(testCase.signal); inds = upcrossing(testCase.t, testCase.signal); got = uc_periods(testCase.t, testCase.signal,inds); @@ -161,7 +161,7 @@ function test_periods_with_inds(testCase) end function test_custom_with_inds(testCase) - [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.t, testCase.signal); + [want, ~, ~, ~] = testCase.exampleAnalysis_(testCase.signal); inds = upcrossing(testCase.t, testCase.signal); % create a similar function to finding the peaks From d69838e7c3ef14277694096351aa366037618353 Mon Sep 17 00:00:00 2001 From: Mohamed Shabara <84589678+MShabara@users.noreply.github.com> Date: Mon, 3 Feb 2025 10:12:25 -0700 Subject: [PATCH 08/18] Fixes Update docstrings, removes uncessary lines and txt file --- examples/environmental_contours_example.mlx | Bin 54138 -> 6547 bytes examples/extreme_response_contour_example.mlx | Bin 55391 -> 6588 bytes examples/wave_example.mlx | Bin 95413 -> 5171 bytes mhkit/tests/upcrossing_Test.m | 12 - mhkit/tests/waveform_signal.txt | 1001 ----------------- mhkit/utils/upcrossing/README.md | 4 +- mhkit/utils/upcrossing/uc_apply_.m | 56 +- mhkit/utils/upcrossing/uc_custom.m | 42 +- mhkit/utils/upcrossing/uc_heights.m | 40 +- mhkit/utils/upcrossing/uc_peaks.m | 35 +- mhkit/utils/upcrossing/uc_periods.m | 34 +- mhkit/utils/upcrossing/uc_troughs.m | 34 +- mhkit/utils/upcrossing/upcrossing.m | 43 +- mhkit/wave/resource/energy_period.m | 104 +- mhkit/wave/resource/significant_wave_height.m | 4 +- mhkit_python_utils/pandas_dataframe.py | 35 +- 16 files changed, 292 insertions(+), 1152 deletions(-) delete mode 100644 mhkit/tests/waveform_signal.txt diff --git a/examples/environmental_contours_example.mlx b/examples/environmental_contours_example.mlx index 47c84caf996b6f773351105a52f22c9992a443d0..e50dde412de96efa95afcd34df434a148f051bc1 100644 GIT binary patch delta 2399 zcmZ9Oc{J4D8^>o5qZ;eTUiK!ttmA7bYiMkPqD3-O#x|B2hKAADv*r5<{UnM+A&f2i zSaT%CAZtuYQL?XzzWlzOU+337=iWb_=RWUqp4WNq``qtOSpoGjPp~Wu1Oh?!wj?R`){zGFkluYAen}9BcVFvQ366mGBmB2u$mN~yxE8Fb4+W|7(7vXrcd#9Uf$U=kt(%a0WJDssI%dc6dL`G 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S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency(:,1)),li,x(2)); - elseif x(2)==1 - S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency),py.numpy.array(S.spectrum),x(2)); - end - - else - ME = MException('MATLAB:energy_period','S needs to be a structure or Pandas dataframe, use py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas to create one'); - throw(ME); - end -end +% % convert matlab structure to pandas.dataframe +% if (isa(S,'py.pandas.core.frame.DataFrame')~=1) +% +% if (isstruct(S)==1) +% x=size(S.spectrum); +% S_test = S; +% li=py.list(); +% if x(2)>1 +% for i = 1:x(2) +% app=py.list(double(S.spectrum(:,i))); +% li=py.mhkit_python_utils.pandas_dataframe.lis(li,app); +% +% end +% % S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas_v2(double(S.frequency(:,1)),S.spectrum(:,1),x(2)); +% % S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency(:,1)),li,x(2)); +% S = typecast_spectra_to_mhkit_python(double(S.frequency(:,1))); +% +% %% +% elseif x(2)==1 +% % S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency),py.numpy.array(S.spectrum),x(2)); +% +% end +% +% else +% ME = MException('MATLAB:energy_period','S needs to be a structure or Pandas dataframe, use py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas to create one'); +% throw(ME); +% end +% end % calculate enegery_period here Te=py.mhkit.wave.resource.energy_period(S,pyargs('frequency_bins',freq_bins)); Te=double(Te.values); +end +function df = typecast_spectra_to_mhkit_python(S) +% Initialize empty python list for column names +column_names = py.list(); + +% Check and correct frequency orientation if needed +if size(S.frequency, 1) ~= 1 + warning('Input frequency is not row-wise (1×N). Current shape is (%d×%d). Converting to row vector.', ... + size(S.frequency, 1), size(S.frequency, 2)); + S.frequency = S.frequency(:)'; % Convert frequency to row vector +end + +% Now we know frequency is row-wise, so only reshape spectrum if needed +if size(S.spectrum, 1) > 1 % spectrum is column vector + S.spectrum = S.spectrum(:)'; % Convert to row vector +end + +% Get dimensions of spectrum matrix +[rows, cols] = size(S.spectrum); + +% Create the frequency index +freq_index = py.numpy.array(S.frequency); + +% Handle single or multiple spectra +if rows == 1 + % Single spectrum case + spectrum_data = py.numpy.array(S.spectrum); + % Use type as column name, default to 'spectrum' if not provided + if isfield(S, 'type') + column_names.append(py.str(S.type)); + else + column_names.append(py.str('spectrum')); + end +else + % Multiple spectra case + % Convert all columns to numpy arrays and store column names + spectrum_data = py.numpy.zeros([rows, cols]); + for i = 1:rows + spectrum_data(:,i) = py.numpy.array(S.spectrum(:,i)); + % Generate column name for each spectrum + if isfield(S, 'type') && length(S.type) >= i + column_names.append(py.str(S.type{i})); + else + column_names.append(py.str(sprintf('spectrum_%d', i))); + end + end +end + +% Create pandas DataFrame with frequency as index +df = py.pandas.DataFrame(data=spectrum_data, ... + index=freq_index, ... + columns=column_names); +end \ No newline at end of file diff --git a/mhkit/wave/resource/significant_wave_height.m b/mhkit/wave/resource/significant_wave_height.m index cfb0144bd..253e3519b 100644 --- a/mhkit/wave/resource/significant_wave_height.m +++ b/mhkit/wave/resource/significant_wave_height.m @@ -55,9 +55,11 @@ li=py.mhkit_python_utils.pandas_dataframe.lis(li,app); end + S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(S.frequency(:,1),li,x(2)); elseif x(2)==1 - S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(S.frequency,py.numpy.array(S.spectrum),x(2)); + S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas_v2(S.frequency,py.numpy.array(S.spectrum),x(2)); + end else diff --git a/mhkit_python_utils/pandas_dataframe.py b/mhkit_python_utils/pandas_dataframe.py index 18ae59d39..8eca9da96 100644 --- a/mhkit_python_utils/pandas_dataframe.py +++ b/mhkit_python_utils/pandas_dataframe.py @@ -3,8 +3,8 @@ import pandas as pd import numpy as np - - +import scipy.io +import pdb def timeseries_to_pandas(ts,ind,x): if x>1: @@ -52,14 +52,42 @@ def list_to_series(input_list, index=None): def spectra_to_pandas(frequency,spectra,x,cols=None): if x>1: - ts=list(map(list,zip(*spectra))) + ts=list(map(list,zip(*spectra))) + print("ts = ", ts) df=pd.DataFrame(data=ts,index=frequency) + print("df = ", df) + else: df=pd.DataFrame(data=spectra,index=frequency) df.indexname='(Hz)' c_name=['PM'] if cols is not None: df.columns = cols + print("df.astype('float64') = ", df.astype('float64')) + return df.astype('float64') + +def spectra_to_pandas_v2(frequency, spectra, x, cols=None): + """ + Convert frequency and spectra data to pandas DataFrame. + """ + frequency = np.squeeze(frequency) # Ensure frequency is 1D + spectra = np.squeeze(spectra) # Ensure spectra has correct dimensions + + # Transpose if x > 1 (multiple columns in spectra) + if x > 1: + spectra = np.array(spectra) + if spectra.shape[1] != len(frequency): + spectra = spectra.T # Transpose if dimensions mismatch + ts = list(map(list, zip(*spectra))) + df = pd.DataFrame(data=ts, index=frequency) + else: + if len(spectra) != len(frequency): + raise ValueError("Spectra length does not match frequency length.") + df = pd.DataFrame(data=spectra, index=frequency) + df.index.name = '(Hz)' + df.columns = ['PM'] if cols is None else cols + + print(df) return df.astype('float64') @@ -77,3 +105,4 @@ def to_ordinal_fraction(x): return day + fraction + 366 return np.array(list(map(to_ordinal_fraction, df.index))) + From 052ca158d8da2f4e13a5a5234f8d0b2edcad5fc2 Mon Sep 17 00:00:00 2001 From: Mohamed Shabara <84589678+MShabara@users.noreply.github.com> Date: Mon, 3 Feb 2025 11:57:10 -0700 Subject: [PATCH 09/18] Fixes merge conflicts --- examples/environmental_contours_example.mlx | Bin 6547 -> 125038 bytes examples/short_term_extremes_example.html | 26 +++++++++++++------- examples/short_term_extremes_example.mlx | Bin 287112 -> 300505 bytes 3 files changed, 17 insertions(+), 9 deletions(-) diff --git a/examples/environmental_contours_example.mlx b/examples/environmental_contours_example.mlx index e50dde412de96efa95afcd34df434a148f051bc1..6bcfa6fdcc51dd328956e700bfb5ae12e5879f7a 100644 GIT binary patch literal 125038 zcmZ^~Q;aT5w5{E?yI0$`?bWtz+jg(EZM|*Vwr$(CeZGD3|Jlhol~iS>QddvL&6qW& zf;1=?8W0c=)PI`@XnlmQj13qFs2UUq2=%`kZDD&m7gIYIeHBj!Q)gXz4_lk&q-nW9 zMx@|dUzkbt|HRV3};y1zlKK4STsJfaM|E4lg5Jx*5v0d-v^` zC*T;9Pk+w>s3U2{_=9wYjO|wn(cnb)p1P2WL}EQhZ*TxA54!9@d9Z{AEk&sCZREK1 z+59d3w{&J0>d@?Sc4hRInSW66;nWZ?PblJ3C(Xe>6LH3;Q1bG-VeKm|BrI} 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    MHKiT Short-term Extreme Loads

    Short-term extreme loads are typically required as part of a long-term extreme load estimate. A short-term extreme distribution is a probability distribution for the extreme value of a short-term (e.g. 3-hours) time-series.
    MHKiT includes functions adapted from the WDRT for estimating the short-term extreme distribution. Several methods are included, which can be divided into two main approaches:
    1. Block maxima: approximate the short-term extreme distribution directly by fitting a probability distribution to the maxima from N distinct short-term blocks.
    2. Peaks distribution: approximate the short-term extreme distribution from the distribution of peaks from a time-series of arbitrary length.
    The two sets of methods will be demonstrated.
    NOTE: This notebook will walk through the two different approaches, and each method in them. The short-term extremes will be obtained step-by-step showing the intermediate outputs. However, a convenience function, the loads.extreme.short_term_extreme function, can be be used directly in a single step. For this usage jump to the last section. It is recommended that you go over this entire example to understand what is going on "under the hood" prior to using this convenience function.
    The quantity (load) of interest can be anything related to the WEC, such as position (e.g. PTO extension, heave displacement), velocity, structural load, mooring loads, etc. For this example we will use the wave elevation as the quantity of interest, since such time-series can be easily created without having to run a WEC-modeling software. The short-term period of interest will be 3-hours.
    An important pre-processing step is making the time-series zero-mean. In this case, since wave elevation is zero-mean no pre-processing is needed.
    We first define the short-term period (3 hours).
    % short-term period in seconds
    t_st = 3.0 * 60.0 * 60.0
    t_st = 10800
    The methods based on peaks distributions require a single time series of any length while the methods based on block maxima require N time series of length equal to the short-term time period.
    We will now create N=10 time series of length equal to the short-term period (3 hours). For block maxima methods we will use all 10 and for peaks distribution methods we will only use the first hour of the first time-series. For the block maxima we use N=10 for speed considerations, but note that this would be inadequately small for most real applications.
    For the sake of example we will consider the wave elevation as the quantity of interest (can be thought as a proxy for heave motion in this example). Wave elevation time-series for a specific sea state can be created quickly without running any external software.
    NOTE: The code below is simply creating the synthetic data (wave elevation time series). In a realistic case the time series would be obtained externally, e.g. through simulation software such as WEC-Sim or CFD. For this reason the details of creating the synthetic data are not presented here, instead assume for the quantity of interest there are ten 3-hours time-series available.
    We start by creating the ten 3-hour time-series of the quantity of interest. We do this with a list comprehension and using the wave.resource.surface_elevation function. The result is a list of 10 different time-series. Alternatively we could have created a single time-series of length N times the short-term period (30 hours) and used the extreme.block_maxima function to split it into blocks and return the block maxima.
    % JONSWAP spectrum for creating short-term time-series
    T_min = 1; % s
    Tp = 8; % s
    Hs = 1.5; % m
    df = 1/t_st;
    f_max = 1/T_min;
    Nf = f_max/df + 1;
    f = linspace(0.0, f_max, Nf);
    S = jonswap_spectrum(f, Tp, Hs);
     
    % time in seconds
    time = linspace(0, t_st, 2*Nf+1);
     
    % qoi timeseries
    qoi_timeseries = surface_elevation(S, time);
    qoi = qoi_timeseries.elevation;
    We can view the different time-series. Change value of i below to plot a different time-series. Below we plot both the full 3 hours time series and the first 2 minutes to get a better look at the behavior of the response.
    figure;
    plot(time, qoi)
    title("Full 3 hours"); xlabel("time [s]"); ylabel("elevation [m]")
    figure;
    plot(time(1:120), qoi(1:120))
    title("First 2 minutes"); xlabel("time [s]"); ylabel("elevation [m]")

    Block Maxima

    The short-term extreme distribution can be estimated directly from N time-series of short-term period. These time-series can be obtained, for instance, from N distinct simulations of the quantity of interest, or alternatively by dividing a long time-series of the quantity of interest into blocks of length equal to the short-term period. In this example we will divide our 3 hour time series into 10-minute segments for speed considerations, but this would be inadequately small for most real applications.

    1. Find the maximum of each block

    The first step is to get the maximum in each block, i.e. in each of the 10-minute time series. We can use the block_maxima funtion to do this for us.
    % split time series into 10-minute (600s) segments
    block_max = block_maxima(time, qoi', 600);
    We can also visualize this result, which represents the maximum elevation of each 10-minute segment for the 3 hour period we are analyzing.
    figure;
    plot(block_max, 'o'); grid on; xticks(0:1:19); ylim([0,2])
    xlabel('block #'); ylabel('block max elevation [m]'); title('Block maxima')

    2. Fit a distribution to the block maxima

    We can now get the short-term extreme distribution by fitting either a generalized extreme value distribution or a Gumbel (right) distributions to these N=18 maxima. We will compare both methods.
    % generalized extreme value distribution
    x = linspace(0,3,1000);
    ste_gev_pdf = ste_block_maxima_gev(block_max, x, "pdf");
    ste_gev_cdf = ste_block_maxima_gev(block_max, x, "cdf");
    ste_gum_pdf = ste_block_maxima_gumbel(block_max, x, "pdf");
    ste_gum_cdf = ste_block_maxima_gumbel(block_max, x, "cdf");
    The outputs of these functions are probability distributions. Here we will plot the CDF and PDF and print the 95% interval for both methods.
    % plot cdf and pdf
    subplot(1,2,1); hold on;
    plot(x,ste_gev_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_gum_pdf); xlabel('elevation [m]'); ylabel('PDF')
    legend('GEV','Gumbel')
    subplot(1,2,2); hold on;
    plot(x,ste_gev_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_gum_cdf); xlabel('elevation [m]'); ylabel('CDF')
    fprintf('GEV:\n 95 percent interval: (%.3f m, %.3f m)',ste_block_maxima_gev(block_max, 0.025, "ppf"),ste_block_maxima_gev(block_max, 0.975, "ppf"))
    GEV: - 95 percent interval: (1.081 m, 1.459 m)
    fprintf('GUMBEL:\n 95 percent interval: (%.3f m, %.3f m)',ste_block_maxima_gumbel(block_max, 0.025, "ppf"),ste_block_maxima_gumbel(block_max, 0.975, "ppf"))
    GUMBEL: - 95 percent interval: (1.084 m, 1.483 m)

    Peaks Distribution

    The block maxima approach is the most direct way to approximate the short-term extreme but it requires a lot of data (N timeseries of length equal to the short-term period). An alternative approach approximates the short-term extreme from a timeseries of arbitrary length, even shorter than the short-term period, by fitting a distribution to the peaks of the timeseries.
    To demonstrate these methods we will approximate the 3-hour short-term extreme distribution from a single 1-hour timeseries.
    We start by generating this 1-hour response timeseries.
    t_end = 1.0 * 60.0 * 60.0;
    qoi_1hr = qoi(1:t_end);
    time_1hr = time(1:t_end);
    % visualize
    figure;
    plot(time_1hr, qoi_1hr)
    title("1 hour"); xlabel("time [s]"); ylabel("elevation [m]")

    1. Find the global peaks

    The global peaks are the maximum between succesive zero-upcrossings. We use the extreme.global_peaks function to find these peaks.
    [t_peaks, qoi_peaks] = global_peaks(time_1hr, qoi_1hr);
    npeaks = length(qoi_peaks)
    npeaks = 305
    We will plot the entire time-series and the global peaks and then zoom in on the first 2 minutes.
    figure; hold on;
    plot(time_1hr, qoi_1hr)
    title("1 hour"); xlabel("time [s]"); ylabel("elevation [m]")
    scatter(t_peaks, qoi_peaks)
    yline(0)
    figure; hold on;
    plot(time_1hr, qoi_1hr)
    title("1 hour"); xlabel("time [s]"); ylabel("elevation [m]")
    scatter(t_peaks, qoi_peaks, 'filled')
    yline(0)
    xlim([0,120])

    2. Fit a distribution to the peaks

    MHKiT has three methods for doing this.
    1. Fit a Weibull distribution to all the peaks.
    2. Weibull tail fit: seven different weibull distributions are fit to successively smaller subsets of the highest peaks, and the peak distribution is taken as the average of these sevenn
    3. Peaks over threshold: a generalized Pareto distribution is fit to all peaks above a certain threshold, typically taken as 1.4 standard deviations above the mean.
    We will now compare the results from these three methods. For the peaks over threshold we will take the threshold (variable thresh below) to be 1.4 standard deviations above the mean. Note in this example, we are also storing the python statistical object. This is something we will need in the step!
    % Weibull
    [peaks_w_pdf, peaks_w] = peaks_distribution_weibull(qoi_peaks, x, "pdf");
    peaks_w_cdf = peaks_distribution_weibull(qoi_peaks, x, "cdf");
    % Weibull tail fit
    [peaks_wtf_pdf, peaks_wtf] = peaks_distribution_weibull_tail_fit(qoi_peaks, x, "pdf");
    peaks_wtf_cdf = peaks_distribution_weibull_tail_fit(qoi_peaks, x, "cdf");
    % peaks over threshold
    thresh = mean(qoi_peaks) + 1.4 * std(qoi_peaks);
    [peaks_pot_pdf, peaks_pot] = peaks_distribution_peaks_over_threshold(qoi_peaks, x, "pdf", "threshold", thresh);
    peaks_pot_cdf = peaks_distribution_peaks_over_threshold(qoi_peaks, x, "cdf", "threshold", thresh);
    We will plot both the PDF and CDF of the peaks distribution, and obtain the 95% interval for each distribution. Note however that for the peaks over threshold method the distribution is only defined for values over the threshold, and many of the functionalities that require the entire distribution are therefore not available.
    % plot cdf and pdf
    subplot(1,2,1); hold on;
    plot(x,peaks_w_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,peaks_wtf_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,peaks_pot_pdf,'green'); xlabel('elevation [m]'); ylabel('PDF')
    legend('Weibull','WTF','POT')
    subplot(1,2,2); hold on;
    plot(x,peaks_w_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,peaks_wtf_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,peaks_pot_cdf, 'green'); xlabel('elevation [m]'); ylabel('CDF')
    s1 = sprintf('Weibull:\n 95 percent interval: (%.3f m, %.3f m)\n',peaks_distribution_weibull(qoi_peaks,0.025,"ppf"),peaks_distribution_weibull(qoi_peaks,0.975,"ppf"));
    s2 = sprintf('Weibull tail fit:\n 95 percent interval: (%.3f m, %.3f m)',peaks_distribution_weibull_tail_fit(qoi_peaks,0.025,"ppf"),peaks_distribution_weibull_tail_fit(qoi_peaks,0.975,"ppf"));
    disp([s1, s2])
    Weibull: - 95 percent interval: (0.055 m, 1.122 m) +.S14 { border-left: 0.909091px solid rgb(217, 217, 217); border-right: 0.909091px solid rgb(217, 217, 217); border-top: 0.909091px solid rgb(217, 217, 217); border-bottom: 0.909091px solid rgb(217, 217, 217); border-radius: 4px; padding: 6px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; }

    MHKiT Short-term Extreme Loads

    Short-term extreme loads are typically required as part of a long-term extreme load estimate. A short-term extreme distribution is a probability distribution for the extreme value of a short-term (e.g. 3-hours) time-series.
    MHKiT includes functions adapted from the WDRT for estimating the short-term extreme distribution. Several methods are included, which can be divided into two main approaches:
    1. Block maxima: approximate the short-term extreme distribution directly by fitting a probability distribution to the maxima from N distinct short-term blocks.
    2. Peaks distribution: approximate the short-term extreme distribution from the distribution of peaks from a time-series of arbitrary length.
    The two sets of methods will be demonstrated.
    NOTE: This notebook will walk through the two different approaches, and each method in them. The short-term extremes will be obtained step-by-step showing the intermediate outputs. However, a convenience function, the loads.extreme.short_term_extreme function, can be be used directly in a single step. For this usage jump to the last section. It is recommended that you go over this entire example to understand what is going on "under the hood" prior to using this convenience function.
    The quantity (load) of interest can be anything related to the WEC, such as position (e.g. PTO extension, heave displacement), velocity, structural load, mooring loads, etc. For this example we will use the wave elevation as the quantity of interest, since such time-series can be easily created without having to run a WEC-modeling software. The short-term period of interest will be 3-hours.
    An important pre-processing step is making the time-series zero-mean. In this case, since wave elevation is zero-mean no pre-processing is needed.
    We first define the short-term period (3 hours).
    % short-term period in seconds
    t_st = 3.0 * 60.0 * 60.0
    t_st = 10800
    The methods based on peaks distributions require a single time series of any length while the methods based on block maxima require N time series of length equal to the short-term time period.
    We will now create N=10 time series of length equal to the short-term period (3 hours). For block maxima methods we will use all 10 and for peaks distribution methods we will only use the first hour of the first time-series. For the block maxima we use N=10 for speed considerations, but note that this would be inadequately small for most real applications.
    For the sake of example we will consider the wave elevation as the quantity of interest (can be thought as a proxy for heave motion in this example). Wave elevation time-series for a specific sea state can be created quickly without running any external software.
    NOTE: The code below is simply creating the synthetic data (wave elevation time series). In a realistic case the time series would be obtained externally, e.g. through simulation software such as WEC-Sim or CFD. For this reason the details of creating the synthetic data are not presented here, instead assume for the quantity of interest there are ten 3-hours time-series available.
    We start by creating the ten 3-hour time-series of the quantity of interest. We do this with a list comprehension and using the wave.resource.surface_elevation function. The result is a list of 10 different time-series. Alternatively we could have created a single time-series of length N times the short-term period (30 hours) and used the extreme.block_maxima function to split it into blocks and return the block maxima.
    % JONSWAP spectrum for creating short-term time-series
    T_min = 1; % s
    Tp = 8; % s
    Hs = 1.5; % m
    df = 1/t_st;
    f_max = 1/T_min;
    Nf = f_max/df + 1;
    f = linspace(0.0, f_max, Nf);
    S = jonswap_spectrum(f, Tp, Hs);
     
    % time in seconds
    time = linspace(0, t_st, 2*Nf+1);
     
    % qoi timeseries
    qoi_timeseries = surface_elevation(S, time);
    qoi = qoi_timeseries.elevation;
    We can view the different time-series. Change value of i below to plot a different time-series. Below we plot both the full 3 hours time series and the first 2 minutes to get a better look at the behavior of the response.
    figure;
    plot(time, qoi)
    title("Full 3 hours"); xlabel("time [s]"); ylabel("elevation [m]")
    xlim([0 time(end)])
    [~, two_min_index] = min(abs(time - 120));
    figure;
    plot(time(1:two_min_index), qoi(1:two_min_index))
    title("First 2 minutes"); xlabel("time [s]"); ylabel("elevation [m]")

    Block Maxima

    The short-term extreme distribution can be estimated directly from N time-series of short-term period. These time-series can be obtained, for instance, from N distinct simulations of the quantity of interest, or alternatively by dividing a long time-series of the quantity of interest into blocks of length equal to the short-term period. In this example we will divide our 3 hour time series into 10-minute segments for speed considerations, but this would be inadequately small for most real applications.

    1. Find the maximum of each block

    The first step is to get the maximum in each block, i.e. in each of the 10-minute time series. We can use the block_maxima funtion to do this for us.
    % split time series into 10-minute (600s) segments
    block_max = block_maxima(time, qoi', 600);
    We can also visualize this result, which represents the maximum elevation of each 10-minute segment for the 3 hour period we are analyzing.
    figure;
    plot(block_max, 'o'); grid on; xticks(0:1:19); ylim([0,2])
    xlabel('block #'); ylabel('block max elevation [m]'); title('Block maxima')

    2. Fit a distribution to the block maxima

    We can now get the short-term extreme distribution by fitting either a generalized extreme value distribution or a Gumbel (right) distributions to these N=18 maxima. We will compare both methods.
    % generalized extreme value distribution
    x = linspace(0,3,1000);
    ste_gev_pdf = ste_block_maxima_gev(block_max, x, "pdf");
    ste_gev_cdf = ste_block_maxima_gev(block_max, x, "cdf");
    ste_gum_pdf = ste_block_maxima_gumbel(block_max, x, "pdf");
    ste_gum_cdf = ste_block_maxima_gumbel(block_max, x, "cdf");
    The outputs of these functions are probability distributions. Here we will plot the CDF and PDF and print the 95% interval for both methods.
    % plot cdf and pdf
    subplot(1,2,1); hold on;
    plot(x,ste_gev_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_gum_pdf); xlabel('elevation [m]'); ylabel('PDF')
    legend('GEV','Gumbel')
    subplot(1,2,2); hold on;
    plot(x,ste_gev_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_gum_cdf); xlabel('elevation [m]'); ylabel('CDF')
    fprintf('GEV:\n 95 percent interval: (%.3f m, %.3f m)',ste_block_maxima_gev(block_max, 0.025, "ppf"),ste_block_maxima_gev(block_max, 0.975, "ppf"))
    GEV: + 95 percent interval: (1.081 m, 1.459 m)
    fprintf('GUMBEL:\n 95 percent interval: (%.3f m, %.3f m)',ste_block_maxima_gumbel(block_max, 0.025, "ppf"),ste_block_maxima_gumbel(block_max, 0.975, "ppf"))
    GUMBEL: + 95 percent interval: (1.084 m, 1.483 m)

    Peaks Distribution

    The block maxima approach is the most direct way to approximate the short-term extreme but it requires a lot of data (N timeseries of length equal to the short-term period). An alternative approach approximates the short-term extreme from a timeseries of arbitrary length, even shorter than the short-term period, by fitting a distribution to the peaks of the timeseries.
    To demonstrate these methods we will approximate the 3-hour short-term extreme distribution from a single 1-hour timeseries.
    We start by generating this 1-hour response timeseries.
    t_end = 1.0 * 60.0 * 60.0;
     
    [~, one_hour_index] = min(abs(time - t_end));
     
    qoi_1hr = qoi(1:one_hour_index);
    time_1hr = time(1:one_hour_index);
    % visualize
    figure;
    plot(time_1hr, qoi_1hr)
    title("1 hour"); xlabel("time [s]"); ylabel("elevation [m]")
    xlim([0 time_1hr(end)])

    1. Find the global peaks

    The global peaks are the maximum between succesive zero-upcrossings. We use the extreme.global_peaks function to find these peaks.
    [t_peaks, qoi_peaks] = global_peaks(time_1hr, qoi_1hr);
    npeaks = length(qoi_peaks)
    npeaks = 615
    We will plot the entire time-series and the global peaks and then zoom in on the first 2 minutes.
    figure; hold on;
    plot(time_1hr, qoi_1hr)
    title("1 hour"); xlabel("time [s]"); ylabel("elevation [m]")
    scatter(t_peaks, qoi_peaks)
    yline(0)
    xlim([0 time_1hr(end)])
     
    figure; hold on;
    plot(time_1hr, qoi_1hr)
    title("Two minutes"); xlabel("time [s]"); ylabel("elevation [m]")
    scatter(t_peaks, qoi_peaks, 'filled')
    yline(0)
    xlim([0,120])

    2. Fit a distribution to the peaks

    MHKiT has three methods for doing this.
    1. Fit a Weibull distribution to all the peaks.
    2. Weibull tail fit: seven different weibull distributions are fit to successively smaller subsets of the highest peaks, and the peak distribution is taken as the average of these sevenn
    3. Peaks over threshold: a generalized Pareto distribution is fit to all peaks above a certain threshold, typically taken as 1.4 standard deviations above the mean.
    We will now compare the results from these three methods. For the peaks over threshold we will take the threshold (variable thresh below) to be 1.4 standard deviations above the mean. Note in this example, we are also storing the python statistical object. This is something we will need in the step!
    % Weibull
    [peaks_w_pdf, peaks_w] = peaks_distribution_weibull(qoi_peaks, x, "pdf");
    peaks_w_cdf = peaks_distribution_weibull(qoi_peaks, x, "cdf");
    % Weibull tail fit
    [peaks_wtf_pdf, peaks_wtf] = peaks_distribution_weibull_tail_fit(qoi_peaks, x, "pdf");
    peaks_wtf_cdf = peaks_distribution_weibull_tail_fit(qoi_peaks, x, "cdf");
    % peaks over threshold
    thresh = mean(qoi_peaks) + 1.4 * std(qoi_peaks);
    [peaks_pot_pdf, peaks_pot] = peaks_distribution_peaks_over_threshold(qoi_peaks, x, "pdf", "threshold", thresh);
    peaks_pot_cdf = peaks_distribution_peaks_over_threshold(qoi_peaks, x, "cdf", "threshold", thresh);
    We will plot both the PDF and CDF of the peaks distribution, and obtain the 95% interval for each distribution. Note however that for the peaks over threshold method the distribution is only defined for values over the threshold, and many of the functionalities that require the entire distribution are therefore not available.
    % plot cdf and pdf
    subplot(1,2,1); hold on;
    plot(x,peaks_w_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,peaks_wtf_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,peaks_pot_pdf,'green'); xlabel('elevation [m]'); ylabel('PDF')
    legend('Weibull','WTF','POT')
    subplot(1,2,2); hold on;
    plot(x,peaks_w_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,peaks_wtf_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,peaks_pot_cdf, 'green'); xlabel('elevation [m]'); ylabel('CDF')
    s1 = sprintf('Weibull:\n 95 percent interval: (%.3f m, %.3f m)\n',peaks_distribution_weibull(qoi_peaks,0.025,"ppf"),peaks_distribution_weibull(qoi_peaks,0.975,"ppf"));
    s2 = sprintf('Weibull tail fit:\n 95 percent interval: (%.3f m, %.3f m)',peaks_distribution_weibull_tail_fit(qoi_peaks,0.025,"ppf"),peaks_distribution_weibull_tail_fit(qoi_peaks,0.975,"ppf"));
    disp([s1, s2])
    Weibull: + 95 percent interval: (0.054 m, 1.084 m) Weibull tail fit: - 95 percent interval: (0.049 m, 1.101 m)

    3. Obtain the short-term extreme distribution from the peaks distribution

    We do this using the peaks distribution and an approximation for the number of peaks per short-term period. We use the extreme.ste_peaks function to obtain an approximation for the number of peaks in a short-term period.
    N_st = number_of_short_term_peaks(npeaks, t_end, t_st);
    fprintf("Approximate number of peaks in a (3-hours) short-term period: %d",N_st)
    Approximate number of peaks in a (3-hours) short-term period: 915
    %
    ste_w_pdf = ste_peaks(peaks_w, N_st, x, "pdf");
    ste_w_cdf = ste_peaks(peaks_w, N_st, x, "cdf");
    ste_wtf_pdf = ste_peaks(peaks_wtf, N_st, x, "pdf");
    ste_wtf_cdf = ste_peaks(peaks_wtf, N_st, x, "cdf");
    ste_pot_pdf = ste_peaks(peaks_pot, N_st, x, "pdf");
    ste_pot_cdf = ste_peaks(peaks_pot, N_st, x, "cdf");
     
    % plot cdf and pdf
    figure;
    subplot(1,2,1); hold on;
    plot(x,ste_w_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_wtf_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_pot_pdf, 'green'); xlabel('elevation [m]'); ylabel('PDF')
    legend('Weibull','WTF','POT')
    subplot(1,2,2); hold on;
    plot(x,ste_w_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_wtf_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_pot_cdf, 'green'); xlabel('elevation [m]'); ylabel('CDF')

    The short_term_extreme function

    This example showed step-by-step how to estimate the short-term extreme using different methods. However for most use cases the results from the intermediate steps are not of interest. The estimated short-term extreme distribution can be obtained directly from a time-series of the response using the short_term_extreme function. For the methods based on fitting the peaks the time-series can be of arbitrary length, while for methods based on block maxima it should be many times longer than the short-term period.
    Note: This function is provided for convenience but the user should be aware of what is going on "under the hood" and ensure the method they choose is appropriate. For instance if using a block maxima method it is good practice to have at least 20 short-term periods worth of data.
    As an example the Weibull tail fit approximation of the short-term extreme distribution can be obtained in a single step. The function takes the time series (time, response), the desired short-term period, and the method as inputs.
    ste_wtf = short_term_extreme(time_1hr, qoi_1hr, t_st, "peaks_weibull_tail_fit", x, "pdf");
    + 95 percent interval: (0.061 m, 1.027 m)

    3. Obtain the short-term extreme distribution from the peaks distribution

    We do this using the peaks distribution and an approximation for the number of peaks per short-term period. We use the extreme.ste_peaks function to obtain an approximation for the number of peaks in a short-term period.
    N_st = number_of_short_term_peaks(npeaks, t_end, t_st);
    fprintf("Approximate number of peaks in a (3-hours) short-term period: %d",N_st)
    Approximate number of peaks in a (3-hours) short-term period: 1845
    %
    ste_w_pdf = ste_peaks(peaks_w, N_st, x, "pdf");
    ste_w_cdf = ste_peaks(peaks_w, N_st, x, "cdf");
    ste_wtf_pdf = ste_peaks(peaks_wtf, N_st, x, "pdf");
    ste_wtf_cdf = ste_peaks(peaks_wtf, N_st, x, "cdf");
    ste_pot_pdf = ste_peaks(peaks_pot, N_st, x, "pdf");
    ste_pot_cdf = ste_peaks(peaks_pot, N_st, x, "cdf");
     
    % plot cdf and pdf
    figure;
    subplot(1,2,1); hold on;
    plot(x,ste_w_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_wtf_pdf); xlabel('elevation [m]'); ylabel('PDF')
    plot(x,ste_pot_pdf, 'green'); xlabel('elevation [m]'); ylabel('PDF')
    legend('Weibull','WTF','POT')
    subplot(1,2,2); hold on;
    plot(x,ste_w_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_wtf_cdf); xlabel('elevation [m]'); ylabel('CDF')
    plot(x,ste_pot_cdf, 'green'); xlabel('elevation [m]'); ylabel('CDF')

    The short_term_extreme function

    This example showed step-by-step how to estimate the short-term extreme using different methods. However for most use cases the results from the intermediate steps are not of interest. The estimated short-term extreme distribution can be obtained directly from a time-series of the response using the short_term_extreme function. For the methods based on fitting the peaks the time-series can be of arbitrary length, while for methods based on block maxima it should be many times longer than the short-term period.
    Note: This function is provided for convenience but the user should be aware of what is going on "under the hood" and ensure the method they choose is appropriate. For instance if using a block maxima method it is good practice to have at least 20 short-term periods worth of data.
    As an example the Weibull tail fit approximation of the short-term extreme distribution can be obtained in a single step. The function takes the time series (time, response), the desired short-term period, and the method as inputs.
    ste_wtf = short_term_extreme(time_1hr, qoi_1hr, t_st, "peaks_weibull_tail_fit", x, "pdf");

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z00QTK%RfdALFo5S05>mBkk@|{|J#@Tk^hJIo(al-^Q?a>^0)u^7m$?M{{i|>-sEqn yzjxrjpp?x23)H{u$G Date: Mon, 3 Feb 2025 11:59:39 -0700 Subject: [PATCH 10/18] removes spectra_to_pandas_v2 --- mhkit_python_utils/pandas_dataframe.py | 25 ------------------------- 1 file changed, 25 deletions(-) diff --git a/mhkit_python_utils/pandas_dataframe.py b/mhkit_python_utils/pandas_dataframe.py index 8eca9da96..48cc1e3a8 100644 --- a/mhkit_python_utils/pandas_dataframe.py +++ b/mhkit_python_utils/pandas_dataframe.py @@ -66,31 +66,6 @@ def spectra_to_pandas(frequency,spectra,x,cols=None): print("df.astype('float64') = ", df.astype('float64')) return df.astype('float64') -def spectra_to_pandas_v2(frequency, spectra, x, cols=None): - """ - Convert frequency and spectra data to pandas DataFrame. - """ - frequency = np.squeeze(frequency) # Ensure frequency is 1D - spectra = np.squeeze(spectra) # Ensure spectra has correct dimensions - - # Transpose if x > 1 (multiple columns in spectra) - if x > 1: - spectra = np.array(spectra) - if spectra.shape[1] != len(frequency): - spectra = spectra.T # Transpose if dimensions mismatch - ts = list(map(list, zip(*spectra))) - df = pd.DataFrame(data=ts, index=frequency) - else: - if len(spectra) != len(frequency): - raise ValueError("Spectra length does not match frequency length.") - df = pd.DataFrame(data=spectra, index=frequency) - df.index.name = '(Hz)' - df.columns = ['PM'] if cols is None else cols - - print(df) - return df.astype('float64') - - def lis(li,app): li.append(app) return li From d0b0e12582683faad9d0319d1de6657e4e5433ed Mon Sep 17 00:00:00 2001 From: Mohamed Shabara <84589678+MShabara@users.noreply.github.com> Date: Mon, 3 Feb 2025 12:07:28 -0700 Subject: [PATCH 11/18] revert changes happened to energy_period.m --- mhkit/wave/resource/energy_period.m | 104 ++++-------------- mhkit/wave/resource/significant_wave_height.m | 4 +- 2 files changed, 22 insertions(+), 86 deletions(-) diff --git a/mhkit/wave/resource/energy_period.m b/mhkit/wave/resource/energy_period.m index da379aeaf..e628e021a 100644 --- a/mhkit/wave/resource/energy_period.m +++ b/mhkit/wave/resource/energy_period.m @@ -43,94 +43,32 @@ freq_bins = py.None; else ME = MException('MATLAB:energy_period','Incorrect number of input arguments'); - throw(ME); + throw(ME); end -S = typecast_spectra_to_mhkit_python(S); +% convert matlab structure to pandas.dataframe +if (isa(S,'py.pandas.core.frame.DataFrame')~=1) + if (isstruct(S)==1) + x=size(S.spectrum); + li=py.list(); + if x(2)>1 + for i = 1:x(2) + app=py.list(double(S.spectrum(:,i))); + li=py.mhkit_python_utils.pandas_dataframe.lis(li,app); -% % convert matlab structure to pandas.dataframe -% if (isa(S,'py.pandas.core.frame.DataFrame')~=1) -% -% if (isstruct(S)==1) -% x=size(S.spectrum); -% S_test = S; -% li=py.list(); -% if x(2)>1 -% for i = 1:x(2) -% app=py.list(double(S.spectrum(:,i))); -% li=py.mhkit_python_utils.pandas_dataframe.lis(li,app); -% -% end -% % S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas_v2(double(S.frequency(:,1)),S.spectrum(:,1),x(2)); -% % S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency(:,1)),li,x(2)); -% S = typecast_spectra_to_mhkit_python(double(S.frequency(:,1))); -% -% %% -% elseif x(2)==1 -% % S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency),py.numpy.array(S.spectrum),x(2)); -% -% end -% -% else -% ME = MException('MATLAB:energy_period','S needs to be a structure or Pandas dataframe, use py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas to create one'); -% throw(ME); -% end -% end - -% calculate enegery_period here -Te=py.mhkit.wave.resource.energy_period(S,pyargs('frequency_bins',freq_bins)); -Te=double(Te.values); - -end -function df = typecast_spectra_to_mhkit_python(S) -% Initialize empty python list for column names -column_names = py.list(); - -% Check and correct frequency orientation if needed -if size(S.frequency, 1) ~= 1 - warning('Input frequency is not row-wise (1×N). Current shape is (%d×%d). Converting to row vector.', ... - size(S.frequency, 1), size(S.frequency, 2)); - S.frequency = S.frequency(:)'; % Convert frequency to row vector -end - -% Now we know frequency is row-wise, so only reshape spectrum if needed -if size(S.spectrum, 1) > 1 % spectrum is column vector - S.spectrum = S.spectrum(:)'; % Convert to row vector -end - -% Get dimensions of spectrum matrix -[rows, cols] = size(S.spectrum); - -% Create the frequency index -freq_index = py.numpy.array(S.frequency); + end + S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency(:,1)),li,x(2)); + elseif x(2)==1 + S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(double(S.frequency),py.numpy.array(S.spectrum),x(2)); + end -% Handle single or multiple spectra -if rows == 1 - % Single spectrum case - spectrum_data = py.numpy.array(S.spectrum); - % Use type as column name, default to 'spectrum' if not provided - if isfield(S, 'type') - column_names.append(py.str(S.type)); else - column_names.append(py.str('spectrum')); - end -else - % Multiple spectra case - % Convert all columns to numpy arrays and store column names - spectrum_data = py.numpy.zeros([rows, cols]); - for i = 1:rows - spectrum_data(:,i) = py.numpy.array(S.spectrum(:,i)); - % Generate column name for each spectrum - if isfield(S, 'type') && length(S.type) >= i - column_names.append(py.str(S.type{i})); - else - column_names.append(py.str(sprintf('spectrum_%d', i))); - end + ME = MException('MATLAB:energy_period','S needs to be a structure or Pandas dataframe, use py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas to create one'); + throw(ME); end end -% Create pandas DataFrame with frequency as index -df = py.pandas.DataFrame(data=spectrum_data, ... - index=freq_index, ... - columns=column_names); -end \ No newline at end of file +% calculate enegery_period here +Te=py.mhkit.wave.resource.energy_period(S,pyargs('frequency_bins',freq_bins)); +Te=double(Te.values); + diff --git a/mhkit/wave/resource/significant_wave_height.m b/mhkit/wave/resource/significant_wave_height.m index 253e3519b..cfb0144bd 100644 --- a/mhkit/wave/resource/significant_wave_height.m +++ b/mhkit/wave/resource/significant_wave_height.m @@ -55,11 +55,9 @@ li=py.mhkit_python_utils.pandas_dataframe.lis(li,app); end - S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(S.frequency(:,1),li,x(2)); elseif x(2)==1 - S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas_v2(S.frequency,py.numpy.array(S.spectrum),x(2)); - + S=py.mhkit_python_utils.pandas_dataframe.spectra_to_pandas(S.frequency,py.numpy.array(S.spectrum),x(2)); end else From 332699ba7a78f326a21123ba321bdfa220bd43d4 Mon Sep 17 00:00:00 2001 From: Mohamed Shabara <84589678+MShabara@users.noreply.github.com> Date: Mon, 3 Feb 2025 12:12:51 -0700 Subject: [PATCH 12/18] reverts unitentioanl changes to files --- examples/adcp_example.mlx | Bin 187207 -> 213376 bytes examples/extreme_response_contour_example.mlx | Bin 6588 -> 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index=None): def spectra_to_pandas(frequency,spectra,x,cols=None): if x>1: - ts=list(map(list,zip(*spectra))) - print("ts = ", ts) + ts=list(map(list,zip(*spectra))) df=pd.DataFrame(data=ts,index=frequency) - print("df = ", df) - else: df=pd.DataFrame(data=spectra,index=frequency) df.indexname='(Hz)' c_name=['PM'] if cols is not None: df.columns = cols - print("df.astype('float64') = ", df.astype('float64')) return df.astype('float64') + def lis(li,app): li.append(app) return li @@ -80,4 +77,3 @@ def to_ordinal_fraction(x): return day + fraction + 366 return np.array(list(map(to_ordinal_fraction, df.index))) - From ed5c55d44dacdfe6112a995a63597bebe56fa082 Mon Sep 17 00:00:00 2001 From: Mohamed Shabara <84589678+MShabara@users.noreply.github.com> Date: Mon, 3 Feb 2025 14:08:16 -0700 Subject: [PATCH 13/18] Adds upcrossing example --- examples/upcrossing_example.mlx | Bin 0 -> 43651 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 examples/upcrossing_example.mlx 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14/18] adds upcrossing html file --- examples/upcrossing_example.html | 90 +++++++++++++++++++++++++++++++ examples/upcrossing_example.mlx | Bin 43651 -> 43651 bytes 2 files changed, 90 insertions(+) create mode 100644 examples/upcrossing_example.html diff --git a/examples/upcrossing_example.html b/examples/upcrossing_example.html new file mode 100644 index 000000000..56baabe08 --- /dev/null +++ b/examples/upcrossing_example.html @@ -0,0 +1,90 @@ + +MHKit Upcrossing Analysis Example

    MHKit Upcrossing Analysis Example

    The following example shows how to perform an upcrossing analysis on a surface % elevation trace and plot quantities of interest (such as wave heights, periods, and crest exceedance probabilities) in MATLAB.
     
    % Clear variables and close figures
    clear; close all;

    Compute the Surface Elevation

     
    % Define Peak Period and Significant Wave Height
    Tp = 10; % Peak period in seconds
    Hs = 2.5; % Significant wave height in meters
    gamma = 3.3; % JONSWAP
     
    % Define Frequency Vector using a return period of 1 hour
    Tr = 3600; % Return period in seconds (1 hour)
    df = 1 / Tr; % Frequency step size in Hz
    f = 0:df:1; % Frequency vector
     
    % Calculate JONSWAP Spectrum
    spec = jonswap_spectrum(f, Tp, Hs, gamma);
     
    % Sampling frequency for time vector
    fs = 10.0; % Sampling frequency in Hz
    t = 0:1/fs:Tr-1/fs; % Time vector
     
    % Generate Surface Elevation
    eta = surface_elevation(spec, t);
     
    % Plot Surface Elevation
    figure();
    plot(eta.time, eta.elevation);
    xlabel('Time (s)','interpreter','latex');
    ylabel('$\eta (m)$','interpreter','latex');
    title(['Surface Elevation for Tp = ' num2str(Tp) 's, Hs = ' num2str(Hs) 'm']);
    grid on; set(gca,'TickLabelInterpreter','latex')
    xlim([eta.time(1) eta.time(end)])
     

    Plot the Individual Wave Heights and Periods

    waveHeights = uc_heights(t, eta.elevation);
    wavePeriods = uc_periods(t, eta.elevation);
     
     
    figure();
    plot(wavePeriods, waveHeights, 'o');
    xlabel('Zero Crossing Period (s)','interpreter','latex');
    ylabel('Wave Height (m)','interpreter','latex');
    grid on;set(gca,'TickLabelInterpreter','latex')
     

    Plot the Crest Probability of Exceedance Distribution

    crests = uc_peaks(t, eta.elevation);
    crests_sorted = sort(crests);
     
    % Number of crests
    N = numel(crests_sorted);
     
    % Exceedance probability (ascending crests)
    Q = (N:-1:1) / N;
     
    % Plot Exceedance Probability
    figure();
    semilogy(crests_sorted, Q, 'o');
    xlabel('Crest Height (m)','interpreter','latex');
    ylabel('P(Exceedance)','interpreter','latex');
    grid on; set(gca,'TickLabelInterpreter','latex')
     
     
    +
    + +
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    MHKit Upcrossing Analysis Example

    The following example shows how to perform an upcrossing analysis on a surface % elevation trace and plot quantities of interest (such as wave heights, periods, and crest exceedance probabilities) in MATLAB.
     
    % Clear variables and close figures
    clear; close all;

    Compute the Surface Elevation

     
    % Define Peak Period and Significant Wave Height
    Tp = 10; % Peak period in seconds
    Hs = 2.5; % Significant wave height in meters
    gamma = 3.3; % JONSWAP
     
    % Define Frequency Vector using a return period of 1 hour
    Tr = 3600; % Return period in seconds (1 hour)
    df = 1 / Tr; % Frequency step size in Hz
    f = 0:df:1; % Frequency vector
     
    % Calculate JONSWAP Spectrum
    spec = jonswap_spectrum(f, Tp, Hs, gamma);
     
    % Sampling frequency for time vector
    fs = 10.0; % Sampling frequency in Hz
    t = 0:1/fs:Tr-1/fs; % Time vector
     
    % Generate Surface Elevation
    eta = surface_elevation(spec, t);
     
    % Plot Surface Elevation
    figure();
    plot(eta.time, eta.elevation);
    xlabel('Time (s)','interpreter','latex');
    ylabel('$\eta (m)$','interpreter','latex');
    title(['Surface Elevation for Tp = ' num2str(Tp) 's, Hs = ' num2str(Hs) 'm']);
    grid on; set(gca,'TickLabelInterpreter','latex')
    xlim([eta.time(1) eta.time(end)])
     

    Plot the Individual Wave Heights and Periods

    waveHeights = uc_heights(t, eta.elevation);
    wavePeriods = uc_periods(t, eta.elevation);
     
     
    figure();
    plot(wavePeriods, waveHeights, 'o');
    xlabel('Zero Crossing Period (s)','interpreter','latex');
    ylabel('Wave Height (m)','interpreter','latex');
    grid on;set(gca,'TickLabelInterpreter','latex')
     

    Plot the Crest Probability of Exceedance Distribution

    crests = uc_peaks(t, eta.elevation);
    crests_sorted = sort(crests);
     
    % Number of crests
    N = numel(crests_sorted);
     
    % Exceedance probability (ascending crests)
    Q = (N:-1:1) / N;
     
    % Plot Exceedance Probability
    figure();
    semilogy(crests_sorted, Q, 'o');
    xlabel('Crest Height (m)','interpreter','latex');
    ylabel('P(Exceedance)','interpreter','latex');
    grid on; set(gca,'TickLabelInterpreter','latex')
     
     
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    MHKit Upcrossing Analysis Example

    The following example shows how to perform an upcrossing analysis on a surface elevation trace and plot quantities of interest (such as wave heights, periods, and crest exceedance probabilities).
     
    % Clear variables and close figures
    clear; close all;

    Compute the Surface Elevation

     
    % Define Peak Period and Significant Wave Height
    Tp = 10; % Peak period in seconds
    Hs = 2.5; % Significant wave height in meters
    gamma = 3.3; % JONSWAP
     
    % Define Frequency Vector using a return period of 1 hour
    Tr = 3600; % Return period in seconds (1 hour)
    df = 1 / Tr; % Frequency step size in Hz
    f = 0:df:1; % Frequency vector
     
    % Calculate JONSWAP Spectrum
    spec = jonswap_spectrum(f, Tp, Hs, gamma);
     
    % Sampling frequency for time vector
    fs = 10.0; % Sampling frequency in Hz
    t = 0:1/fs:Tr-1/fs; % Time vector
     
    % Generate Surface Elevation
    eta = surface_elevation(spec, t);
     
    % Plot Surface Elevation
    figure();
    plot(eta.time, eta.elevation);
    xlabel('Time (s)','interpreter','latex');
    ylabel('$\eta (m)$','interpreter','latex');
    title(['Surface Elevation for Tp = ' num2str(Tp) 's, Hs = ' num2str(Hs) 'm']);
    grid on; set(gca,'TickLabelInterpreter','latex')
    xlim([eta.time(1) eta.time(end)])
     

    Plot the Individual Wave Heights and Periods

    waveHeights = uc_heights(t, eta.elevation);
    wavePeriods = uc_periods(t, eta.elevation);
     
     
    figure();
    plot(wavePeriods, waveHeights, 'o');
    xlabel('Zero Crossing Period (s)','interpreter','latex');
    ylabel('Wave Height (m)','interpreter','latex');
    grid on;set(gca,'TickLabelInterpreter','latex')
     

    Plot the Crest Probability of Exceedance Distribution

    crests = uc_peaks(t, eta.elevation);
    crests_sorted = sort(crests);
     
    % Number of crests
    N = numel(crests_sorted);
     
    % Exceedance probability (ascending crests)
    Q = (N:-1:1) / N;
     
    % Plot Exceedance Probability
    figure();
    semilogy(crests_sorted, Q, 'o');
    xlabel('Crest Height (m)','interpreter','latex');
    ylabel('P(Exceedance)','interpreter','latex');
    grid on; set(gca,'TickLabelInterpreter','latex')
     
     

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    MHKit Upcrossing Analysis Example

    The following example shows how to perform an upcrossing analysis on a surface elevation trace and plot quantities of interest (such as wave heights, periods, and crest exceedance probabilities).
     
    % Clear variables and close figures
    clear; close all;

    Compute the Surface Elevation

     
    % Define Peak Period and Significant Wave Height
    Tp = 10; % Peak period in seconds
    Hs = 2.5; % Significant wave height in meters
    gamma = 3.3; % JONSWAP
     
    % Define Frequency Vector using a return period of 1 hour
    Tr = 3600; % Return period in seconds (1 hour)
    df = 1 / Tr; % Frequency step size in Hz
    f = 0:df:1; % Frequency vector
     
    % Calculate JONSWAP Spectrum
    spec = jonswap_spectrum(f, Tp, Hs, gamma);
     
    % Sampling frequency for time vector
    fs = 10.0; % Sampling frequency in Hz
    t = 0:1/fs:Tr-1/fs; % Time vector
     
    % Generate Surface Elevation
    eta = surface_elevation(spec, t);
     
    % Plot Surface Elevation
    figure();
    plot(eta.time, eta.elevation);
    xlabel('Time (s)','interpreter','latex');
    ylabel('$\eta (m)$','interpreter','latex');
    title(['Surface Elevation for Tp = ' num2str(Tp) 's, Hs = ' num2str(Hs) 'm']);
    grid on; set(gca,'TickLabelInterpreter','latex')
    xlim([eta.time(1) eta.time(end)])
     

    Plot the Individual Wave Heights and Periods

    waveHeights = uc_heights(t, eta.elevation);
    wavePeriods = uc_periods(t, eta.elevation);
     
     
    figure();
    plot(wavePeriods, waveHeights, 'o');
    xlabel('Zero Crossing Period (s)','interpreter','latex');
    ylabel('Wave Height (m)','interpreter','latex');
    grid on;set(gca,'TickLabelInterpreter','latex')
     

    Plot the Crest Probability of Exceedance Distribution

    crests = uc_peaks(t, eta.elevation);
    crests_sorted = sort(crests);
     
    % Number of crests
    N = numel(crests_sorted);
     
    % Exceedance probability (ascending crests)
    Q = (N:-1:1) / N;
     
    % Plot Exceedance Probability
    figure();
    semilogy(crests_sorted, Q, 'o');
    xlabel('Crest Height (m)','interpreter','latex');
    ylabel('P(Exceedance)','interpreter','latex');
    grid on; set(gca,'TickLabelInterpreter','latex')
     
     
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    MHKit Upcrossing Analysis Example

    The following example shows how to perform an upcrossing analysis on a surface elevation trace and plot quantities of interest (such as wave heights, periods, and crest exceedance probabilities).
    % Clear variables and close figures
    clear; close all;

    Compute the Surface Elevation

     
    % Define Peak Period and Significant Wave Height
    Tp = 10; % Peak period in seconds
    Hs = 2.5; % Significant wave height in meters
    gamma = 3.3; % JONSWAP
     
    % Define Frequency Vector using a return period of 1 hour
    Tr = 3600; % Return period in seconds (1 hour)
    df = 1 / Tr; % Frequency step size in Hz
    f = 0:df:1; % Frequency vector
     
    % Calculate JONSWAP Spectrum
    spec = jonswap_spectrum(f, Tp, Hs, gamma);
     
    % Sampling frequency for time vector
    fs = 10.0; % Sampling frequency in Hz
    t = 0:1/fs:Tr-1/fs; % Time vector
     
    % Generate Surface Elevation
    eta = surface_elevation(spec, t,"seed", 123);
     
    % Plot Surface Elevation
    figure();
    plot(eta.time, eta.elevation);
    xlabel('Time (s)','interpreter','latex');
    ylabel('$\eta (m)$','interpreter','latex');
    title(['Surface Elevation for Tp = ' num2str(Tp) 's, Hs = ' num2str(Hs) 'm']);
    grid on; set(gca,'TickLabelInterpreter','latex')
    xlim([eta.time(1) eta.time(end)])

    Plot the Individual Wave Heights and Periods

    waveHeights = uc_heights(t, eta.elevation);
    wavePeriods = uc_periods(t, eta.elevation);
     
    figure();
    plot(wavePeriods, waveHeights, 'o');
    xlabel('Zero Crossing Period (s)','interpreter','latex');
    ylabel('Wave Height (m)','interpreter','latex');
    grid on; set(gca,'TickLabelInterpreter','latex');

    Plot the Crest Probability of Exceedance Distribution

    crests = uc_peaks(t, eta.elevation);
    crests_sorted = sort(crests);
     
    % Number of crests
    N = numel(crests_sorted);
     
    % Exceedance probability (ascending crests)
    Q = (N:-1:1) / N;
     
    % Plot Exceedance Probability
    figure();
    semilogy(crests_sorted, Q, 'o');
    xlabel('Crest Height (m)','interpreter','latex');
    ylabel('P(Exceedance)','interpreter','latex');
    grid on; set(gca,'TickLabelInterpreter','latex')

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Check the station number or network connection.'); +end + +% Initialize output data structure +data = struct(); + +% Check if the station is valid +if contains(content, 'Station not found') + error('Invalid or nonexistent station number: %s', station_number); +end + +% Extract the station title (buoy name) +title_start = strfind(content, '

    ') + 4; +title_end = strfind(content, '

    ') - 1; +if isempty(title_start) || isempty(title_end) + error('Failed to extract the buoy title.'); +end +title = strtrim(content(title_start:title_end)); +title = regexprep(title, '\n.*$', ''); % Remove any trailing newlines and extra content +data.buoy = title; + +% Find the specific div containing the buoy metadata +metadata_start = strfind(content, '
    '); +if isempty(metadata_start) + warning('Metadata section not found.'); + return; +end +metadata_end = strfind(content(metadata_start:end), '
    ') + metadata_start - 1; +metadata_text = content(metadata_start:metadata_end); + +% Split metadata into lines +lines = splitlines(metadata_text); + +% Parse each line +line_count = 1; +for i = 1:length(lines) + line = strtrim(lines{i}); + + % Check for latitude/longitude pattern + if ~isempty(regexp(line, '\d+\.\d+\s+[NS]\s+\d+\.\d+\s+[EW]', 'once')) + tokens = regexp(line, '(\d+\.\d+)\s+([NS])\s+(\d+\.\d+)\s+([EW])', 'tokens'); + lat = tokens{1}{1}; + lon = tokens{1}{3}; + data.lat = lat; + data.lon = lon; + elseif contains(line, ':') + % Split key-value pairs on colon + parts = strsplit(line, ':'); + key = strtrim(parts{1}); + value = strtrim(parts{2}); + data.(matlab.lang.makeValidName(key)) = value; + elseif ~isempty(line) + % Catch all other lines as keys with empty values + data.(matlab.lang.makeValidName(line)) = ''; + end + line_count = line_count + 1; +end +end From de2072634c7de4b6d7149163f16e09b4f381ee61 Mon Sep 17 00:00:00 2001 From: Mohamed Shabara <84589678+MShabara@users.noreply.github.com> Date: Tue, 4 Feb 2025 09:14:52 -0700 Subject: [PATCH 17/18] Revert "formating changes for the upcrossing example" This reverts commit 0902ef7c21b52324e6bcb8a38f8f71055d4d809e. --- ...Wave_resource_characterization_example.mlx | Bin 62919 -> 0 bytes examples/upcrossing_example.html | 22 +++-- examples/upcrossing_example.mlx | Bin 145744 -> 43965 bytes mhkit/wave/IO/NDBC/get_buoy_metadata.m | 92 ------------------ 4 files changed, 14 insertions(+), 100 deletions(-) delete mode 100644 examples/PacWave_resource_characterization_example.mlx delete mode 100644 mhkit/wave/IO/NDBC/get_buoy_metadata.m diff --git a/examples/PacWave_resource_characterization_example.mlx b/examples/PacWave_resource_characterization_example.mlx deleted file mode 100644 index 2c65823d6a5596cf518673365f8c34f40e25687a..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 62919 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    MHKit Upcrossing Analysis Example

    The following example shows how to perform an upcrossing analysis on a surface elevation trace and plot quantities of interest (such as wave heights, periods, and crest exceedance probabilities).
    % Clear variables and close figures
    clear; close all;

    Compute the Surface Elevation

     
    % Define Peak Period and Significant Wave Height
    Tp = 10; % Peak period in seconds
    Hs = 2.5; % Significant wave height in meters
    gamma = 3.3; % JONSWAP
     
    % Define Frequency Vector using a return period of 1 hour
    Tr = 3600; % Return period in seconds (1 hour)
    df = 1 / Tr; % Frequency step size in Hz
    f = 0:df:1; % Frequency vector
     
    % Calculate JONSWAP Spectrum
    spec = jonswap_spectrum(f, Tp, Hs, gamma);
     
    % Sampling frequency for time vector
    fs = 10.0; % Sampling frequency in Hz
    t = 0:1/fs:Tr-1/fs; % Time vector
     
    % Generate Surface Elevation
    eta = surface_elevation(spec, t,"seed", 123);
     
    % Plot Surface Elevation
    figure();
    plot(eta.time, eta.elevation);
    xlabel('Time (s)','interpreter','latex');
    ylabel('$\eta (m)$','interpreter','latex');
    title(['Surface Elevation for Tp = ' num2str(Tp) 's, Hs = ' num2str(Hs) 'm']);
    grid on; set(gca,'TickLabelInterpreter','latex')
    xlim([eta.time(1) eta.time(end)])

    Plot the Individual Wave Heights and Periods

    waveHeights = uc_heights(t, eta.elevation);
    wavePeriods = uc_periods(t, eta.elevation);
     
    figure();
    plot(wavePeriods, waveHeights, 'o');
    xlabel('Zero Crossing Period (s)','interpreter','latex');
    ylabel('Wave Height (m)','interpreter','latex');
    grid on; set(gca,'TickLabelInterpreter','latex');

    Plot the Crest Probability of Exceedance Distribution

    crests = uc_peaks(t, eta.elevation);
    crests_sorted = sort(crests);
     
    % Number of crests
    N = numel(crests_sorted);
     
    % Exceedance probability (ascending crests)
    Q = (N:-1:1) / N;
     
    % Plot Exceedance Probability
    figure();
    semilogy(crests_sorted, Q, 'o');
    xlabel('Crest Height (m)','interpreter','latex');
    ylabel('P(Exceedance)','interpreter','latex');
    grid on; set(gca,'TickLabelInterpreter','latex')
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    MHKit Upcrossing Analysis Example

    The following example shows how to perform an upcrossing analysis on a surface elevation trace and plot quantities of interest (such as wave heights, periods, and crest exceedance probabilities).
     
    % Clear variables and close figures
    clear; close all;

    Compute the Surface Elevation

     
    % Define Peak Period and Significant Wave Height
    Tp = 10; % Peak period in seconds
    Hs = 2.5; % Significant wave height in meters
    gamma = 3.3; % JONSWAP
     
    % Define Frequency Vector using a return period of 1 hour
    Tr = 3600; % Return period in seconds (1 hour)
    df = 1 / Tr; % Frequency step size in Hz
    f = 0:df:1; % Frequency vector
     
    % Calculate JONSWAP Spectrum
    spec = jonswap_spectrum(f, Tp, Hs, gamma);
     
    % Sampling frequency for time vector
    fs = 10.0; % Sampling frequency in Hz
    t = 0:1/fs:Tr-1/fs; % Time vector
     
    % Generate Surface Elevation
    eta = surface_elevation(spec, t);
     
    % Plot Surface Elevation
    figure();
    plot(eta.time, eta.elevation);
    xlabel('Time (s)','interpreter','latex');
    ylabel('$\eta (m)$','interpreter','latex');
    title(['Surface Elevation for Tp = ' num2str(Tp) 's, Hs = ' num2str(Hs) 'm']);
    grid on; set(gca,'TickLabelInterpreter','latex')
    xlim([eta.time(1) eta.time(end)])
     

    Plot the Individual Wave Heights and Periods

    waveHeights = uc_heights(t, eta.elevation);
    wavePeriods = uc_periods(t, eta.elevation);
     
     
    figure();
    plot(wavePeriods, waveHeights, 'o');
    xlabel('Zero Crossing Period (s)','interpreter','latex');
    ylabel('Wave Height (m)','interpreter','latex');
    grid on;set(gca,'TickLabelInterpreter','latex')
     

    Plot the Crest Probability of Exceedance Distribution

    crests = uc_peaks(t, eta.elevation);
    crests_sorted = sort(crests);
     
    % Number of crests
    N = numel(crests_sorted);
     
    % Exceedance probability (ascending crests)
    Q = (N:-1:1) / N;
     
    % Plot Exceedance Probability
    figure();
    semilogy(crests_sorted, Q, 'o');
    xlabel('Crest Height (m)','interpreter','latex');
    ylabel('P(Exceedance)','interpreter','latex');
    grid on; set(gca,'TickLabelInterpreter','latex')
     
     

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    ') - 1; -if isempty(title_start) || isempty(title_end) - error('Failed to extract the buoy title.'); -end -title = strtrim(content(title_start:title_end)); -title = regexprep(title, '\n.*$', ''); % Remove any trailing newlines and extra content -data.buoy = title; - -% Find the specific div containing the buoy metadata -metadata_start = strfind(content, '
    '); -if isempty(metadata_start) - warning('Metadata section not found.'); - return; -end -metadata_end = strfind(content(metadata_start:end), '
    ') + metadata_start - 1; -metadata_text = content(metadata_start:metadata_end); - -% Split metadata into lines -lines = splitlines(metadata_text); - -% Parse each line -line_count = 1; -for i = 1:length(lines) - line = strtrim(lines{i}); - - % Check for latitude/longitude pattern - if ~isempty(regexp(line, '\d+\.\d+\s+[NS]\s+\d+\.\d+\s+[EW]', 'once')) - tokens = regexp(line, '(\d+\.\d+)\s+([NS])\s+(\d+\.\d+)\s+([EW])', 'tokens'); - lat = tokens{1}{1}; - lon = tokens{1}{3}; - data.lat = lat; - data.lon = lon; - elseif contains(line, ':') - % Split key-value pairs on colon - parts = strsplit(line, ':'); - key = strtrim(parts{1}); - value = strtrim(parts{2}); - data.(matlab.lang.makeValidName(key)) = value; - elseif ~isempty(line) - % Catch all other lines as keys with empty values - data.(matlab.lang.makeValidName(line)) = ''; - end - line_count = line_count + 1; -end -end From 9808c7f98d285c94177d5c80fb33f76647deb0f1 Mon Sep 17 00:00:00 2001 From: Mohamed Shabara <84589678+MShabara@users.noreply.github.com> Date: Tue, 4 Feb 2025 09:18:52 -0700 Subject: [PATCH 18/18] formating changes for the upcrossing example --- examples/upcrossing_example.html | 23 ++++++++--------------- examples/upcrossing_example.mlx | Bin 43965 -> 145597 bytes 2 files changed, 8 insertions(+), 15 deletions(-) diff --git a/examples/upcrossing_example.html b/examples/upcrossing_example.html index c2143cdd1..cf5e06a40 100644 --- a/examples/upcrossing_example.html +++ b/examples/upcrossing_example.html @@ -2,15 +2,13 @@ MHKit Upcrossing Analysis Example

    MHKit Upcrossing Analysis Example

    The following example shows how to perform an upcrossing analysis on a surface elevation trace and plot quantities of interest (such as wave heights, periods, and crest exceedance probabilities).
     
    % Clear variables and close figures
    clear; close all;

    Compute the Surface Elevation

     
    % Define Peak Period and Significant Wave Height
    Tp = 10; % Peak period in seconds
    Hs = 2.5; % Significant wave height in meters
    gamma = 3.3; % JONSWAP
     
    % Define Frequency Vector using a return period of 1 hour
    Tr = 3600; % Return period in seconds (1 hour)
    df = 1 / Tr; % Frequency step size in Hz
    f = 0:df:1; % Frequency vector
     
    % Calculate JONSWAP Spectrum
    spec = jonswap_spectrum(f, Tp, Hs, gamma);
     
    % Sampling frequency for time vector
    fs = 10.0; % Sampling frequency in Hz
    t = 0:1/fs:Tr-1/fs; % Time vector
     
    % Generate Surface Elevation
    eta = surface_elevation(spec, t);
     
    % Plot Surface Elevation
    figure();
    plot(eta.time, eta.elevation);
    xlabel('Time (s)','interpreter','latex');
    ylabel('$\eta (m)$','interpreter','latex');
    title(['Surface Elevation for Tp = ' num2str(Tp) 's, Hs = ' num2str(Hs) 'm']);
    grid on; set(gca,'TickLabelInterpreter','latex')
    xlim([eta.time(1) eta.time(end)])
     

    Plot the Individual Wave Heights and Periods

    waveHeights = uc_heights(t, eta.elevation);
    wavePeriods = uc_periods(t, eta.elevation);
     
     
    figure();
    plot(wavePeriods, waveHeights, 'o');
    xlabel('Zero Crossing Period (s)','interpreter','latex');
    ylabel('Wave Height (m)','interpreter','latex');
    grid on;set(gca,'TickLabelInterpreter','latex')
     

    Plot the Crest Probability of Exceedance Distribution

    crests = uc_peaks(t, eta.elevation);
    crests_sorted = sort(crests);
     
    % Number of crests
    N = numel(crests_sorted);
     
    % Exceedance probability (ascending crests)
    Q = (N:-1:1) / N;
     
    % Plot Exceedance Probability
    figure();
    semilogy(crests_sorted, Q, 'o');
    xlabel('Crest Height (m)','interpreter','latex');
    ylabel('P(Exceedance)','interpreter','latex');
    grid on; set(gca,'TickLabelInterpreter','latex')
     
     
    +.S6 { border-left: 0.8px solid rgb(217, 217, 217); border-right: 0.8px solid rgb(217, 217, 217); border-top: 0px none rgb(0, 0, 0); border-bottom: 0.8px solid rgb(217, 217, 217); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, "Courier New", monospace, Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; } +.S7 { color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(255, 255, 255) none repeat scroll 0% 0% / auto padding-box border-box; font-family: Menlo, Monaco, Consolas, "Courier New", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; }

    MHKit Upcrossing Analysis Example

    The following example shows how to perform an upcrossing analysis on a surface elevation trace and plot quantities of interest (such as wave heights, periods, and crest exceedance probabilities).
    % Clear variables and close figures
    clear; close all;

    Compute the Surface Elevation

    % Define Peak Period and Significant Wave Height
    Tp = 10; % Peak period in seconds
    Hs = 2.5; % Significant wave height in meters
    gamma = 3.3; % JONSWAP
     
    % Define Frequency Vector using a return period of 1 hour
    Tr = 3600; % Return period in seconds (1 hour)
    df = 1 / Tr; % Frequency step size in Hz
    f = 0:df:1; % Frequency vector
     
    % Calculate JONSWAP Spectrum
    spec = jonswap_spectrum(f, Tp, Hs, gamma);
     
    % Sampling frequency for time vector
    fs = 10.0; % Sampling frequency in Hz
    t = 0:1/fs:Tr-1/fs; % Time vector
     
    % Generate Surface Elevation
    eta = surface_elevation(spec, t, "seed", 123);
     
    % Plot Surface Elevation
    figure();
    plot(eta.time, eta.elevation);
    xlabel('Time (s)','interpreter','latex');
    ylabel('$\eta (m)$','interpreter','latex');
    title(['Surface Elevation for Tp = ' num2str(Tp) 's, Hs = ' num2str(Hs) 'm']);
    grid on; set(gca,'TickLabelInterpreter','latex')
    xlim([eta.time(1) eta.time(end)])

    Plot the Individual Wave Heights and Periods

    waveHeights = uc_heights(t, eta.elevation);
    wavePeriods = uc_periods(t, eta.elevation);
     
    figure();
    plot(wavePeriods, waveHeights, 'o');
    xlabel('Zero Crossing Period (s)','interpreter','latex');
    ylabel('Wave Height (m)','interpreter','latex');
    grid on;set(gca,'TickLabelInterpreter','latex')

    Plot the Crest Probability of Exceedance Distribution

    crests = uc_peaks(t, eta.elevation);
    crests_sorted = sort(crests);
     
    % Number of crests
    N = numel(crests_sorted);
     
    % Exceedance probability (ascending crests)
    Q = (N:-1:1) / N;
     
    % Plot Exceedance Probability
    figure();
    semilogy(crests_sorted, Q, 'o');
    xlabel('Crest Height (m)','interpreter','latex');
    ylabel('P(Exceedance)','interpreter','latex');
    grid on; set(gca,'TickLabelInterpreter','latex');

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