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//! # Kriging
//!
//! This crate supports ordinary and universal kriging. Additionaly, it provides tools to create and fit variograms.
//!
//! ## Ordinary kriging example
//!
//! ```rust
//! use std::path::PathBuf;
//! use polars::prelude::*;
//!
//! use kriging::variogram::*;
//! use kriging::kriging::*;
//! use kriging::raster::*;
//!
//! fn main() {
//! let df = CsvReadOptions::default()
//! .with_infer_schema_length(None)
//! .with_has_header(true)
//! .try_into_reader_with_file_path(Some("data.csv"))?
//! .finish()?;
//!
//! let longitudes = df.column("lon")?.f64()?;
//! let latitudes = df.column("lat")?.f64()?;
//! let temps = df.column("temperature")?.f64()?;
//!
//! let longitudes = longitudes.to_vec().into_iter().filter_map(|x| x).collect();
//! let latitudes = latitudes.to_vec().into_iter().filter_map(|x| x).collect();
//! let temps = temps.to_vec().into_iter().filter_map(|x| x).collect();
//!
//! // Create an empirical variogram
//! let empirical_variogram = EmpiricalVariogram::new(&longitudes, &latitudes, &temps);
//!
//! // Calculate the max values (optional for a first variogram estimation)
//! let max_x_data = empirical_variogram.get_max_distance();
//! let max_y_data = empirical_variogram.get_max_semivariance();
//!
//! // Define initial parameters for the model
//! let mut variogram = Variogram::new(
//! 0.0,
//! max_y_data,
//! max_x_data / 3.0,
//! VariogramModel::Spherical
//! );
//!
//! // Perform gradient descent to fit variogram
//! variogram.fit(
//! &empirical_variogram,
//! 1e-2,
//! 1000,
//! 1e-6
//! );
//!
//! println!("\nFitted Parameters:");
//! println!("Nugget: {:.4}", variogram.nugget);
//! println!("Sill: {:.4}", variogram.sill);
//! println!("Range: {:.2}", variogram.range);
//!
//! // Plot the points (empirical variogram) and the fitted curve (variogram)
//! let mut semivariogram_file_path = PathBuf::from("semivariogram.png");
//! plot(&variogram, &empirical_variogram, &semivariogram_file_path);
//!
//! // Prepare coords and values for ordinary kriging
//! let known_coords: Vec<(f64, f64)> = longitudes
//! .into_iter()
//! .zip(latitudes)
//! .collect();
//!
//! let known_values: Vec<f64> = temps;
//!
//! // Read prediction points from TIF file
//! let mut template_raster_file_path = PathBuf::from("sky_view_factor.tif");
//! let prediction_points = read_raster_coords(&template_raster_file_path)?;
//!
//! // Perform ordinary kriging
//! let predictions = ordinary_kriging(&known_coords, &known_values, &prediction_points, &variogram);
//!
//! // Export prediction
//! let mut output_raster_file_path = PathBuf::from("interpolation.tif");
//! export_predictions_to_raster(
//! &template_raster_file_path,
//! &output_raster_file_path,
//! &predictions
//! )?;
//! }
//! ```
//!
//! ## Universal kriging example
//!
//! ```rust
//! use std::path::PathBuf;
//! use polars::prelude::*;
//!
//! use kriging::variogram::*;
//! use kriging::kriging::*;
//! use kriging::raster::*;
//!
//! fn main() {
//! // Read observations
//! let df = CsvReadOptions::default()
//! .with_infer_schema_length(None)
//! .with_has_header(true)
//! .try_into_reader_with_file_path(Some("data.csv"))?
//! .finish()?;
//!
//! let longitudes = df.column("lon")?.f64()?;
//! let latitudes = df.column("lat")?.f64()?;
//! let temps = df.column("temperature")?.f64()?;
//!
//! let longitudes = longitudes.to_vec().into_iter().filter_map(|x| x).collect();
//! let latitudes = latitudes.to_vec().into_iter().filter_map(|x| x).collect();
//! let temps = temps.to_vec().into_iter().filter_map(|x| x).collect();
//!
//! // This variogram will be fitted with the residuals inside universal_kriging()
//! let initial_estimation_variogram = Variogram::new(
//! 0.1,
//! 0.4,
//! 1000,
//! VariogramModel::Spherical
//! );
//!
//! // Prepare coords and values for ordinary kriging
//! let known_coords: Vec<(f64, f64)> = longitudes
//! .into_iter()
//! .zip(latitudes)
//! .collect();
//!
//! let known_values: Vec<f64> = temps;
//!
//! // Read prediction points from TIF file
//! let mut template_raster_file_path = PathBuf::from("sky_view_factor.tif");
//! let prediction_points = read_raster_coords(&template_raster_file_path)?;
//!
//! // Perform ordinary kriging
//! // Read covariates
//! let gli_path = PathBuf::from(env::var("CARGO_MANIFEST_DIR").unwrap()).join("data/gli.tif");
//! let svf_path = PathBuf::from(env::var("CARGO_MANIFEST_DIR").unwrap()).join("data/svf.tif");
//! let drift = RasterDrift::new(&[gli_path.to_str().unwrap(), svf_path.to_str().unwrap()]);
//!
//! // Perform ordinary kriging
//! let (predictions, variances) = universal_kriging(
//! &known_coords, &known_values, &prediction_points, drift, initial_estimation_variogram
//! );
//!
//! // Export prediction
//! let mut output_raster_file_path = PathBuf::from("interpolation.tif");
//! export_predictions_to_raster(
//! &template_raster_file_path,
//! &output_raster_file_path,
//! &predictions
//! )?;
//!
//! // Export variances
//! let mut output_raster_file_path = PathBuf::from(&root_dir);
//! output_raster_file_path.push("variances.tif");
//! export_predictions_to_raster(
//! &template_raster_file_path,
//! &output_raster_file_path,
//! &variances
//! )?;
//! }
//! ```