diff --git a/Cargo.toml b/Cargo.toml index 57d5827..4960ff4 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -11,4 +11,11 @@ categories = ["mathematics", "science"] exclude = ["testing"] # See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html +[features] +default = ["bicubic"] +bi_dimensional = ["bicubic"] + [dependencies] +bicubic = {path = "C:/projects/bicubic", optional = true} + + diff --git a/README.md b/README.md index 347eb51..f95956e 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,8 @@ # makima_spline A implementation of the modified akima interpolation
**+** linear extrapolation
-**+** 1., 2., and 3. order derivatives +**+** 1., 2., and 3. order derivatives
+**+** bicubic interpolation as a feature @@ -28,3 +29,19 @@ To sample do this: let y = spline.sample(x); ``` + +# 2d interpolation +Based on the crate [bicubic](https://crates.io/crates/bicubic) it is possible to interpolate in two dimensions. + +Create points +``` rust +let x = vec![-1.0, 0.0, 2.0]; +let y = vec![-0.0, 1.0]; +let f = vec![5.0, 4.0, 5.0, 1.0, 1.0, 1.0]; +``` +construct `bicubic` Struct +``` +let bci = makima_spline::n_dimensional::bicubic_from_grid(&x, &y, &f); +``` + +The submodule is called `n_dimensional` in case higher dimensions will be supported in the future, but currently there is only 2d interpolation \ No newline at end of file diff --git a/src/lib.rs b/src/lib.rs index 64a62b7..e5de51a 100644 --- a/src/lib.rs +++ b/src/lib.rs @@ -182,4 +182,7 @@ pub fn vec_to_points(x: &Vec, y: &Vec) -> Vec<(f64, f64)>{ points } +#[cfg(feature = "bi_dimensional")] +pub mod n_dimensional; + mod tests; diff --git a/src/n_dimensional.rs b/src/n_dimensional.rs new file mode 100644 index 0000000..cdb32a2 --- /dev/null +++ b/src/n_dimensional.rs @@ -0,0 +1,89 @@ + +use bicubic; + +/// creates a bicubic interpolation from grid data with makima spline derivatives +/// +/// ## Usage +/// ``` +/// let x = vec![-1.0, 0.0, 2.0]; +/// let y = vec![-0.0, 1.0]; +/// let f = vec![5.0, 4.0, 5.0, 1.0, 1.0, 1.0]; +/// let bci = makima_spline::n_dimensional::bicubic_from_grid(&x, &y, &f); +/// ``` +pub fn bicubic_from_grid(x: &Vec, y: &Vec, f: &Vec) -> bicubic::Bicubic{ + assert!(f.len() == x.len()*y.len(), "[makima_spline::n_dimensional::bicubic_from_grid] f has bad dimensions (f.len() = {}). Needs to be x.len()*y.len() = {}", f.len(), x.len()*y.len()); + // create Splines + let mut row_splines = Vec::with_capacity(y.len()); + for row in 0..y.len() { + let first = row*x.len(); + let last = first + x.len(); + let row_f = f[first..last].to_vec(); + let points: Vec<(f64,f64)> = x.iter().enumerate().map(|it|{ + let (index, x_val) = it; + let f_val = row_f[index]; + (*x_val, f_val) + }).collect(); + let row_spline = crate::Spline::from_vec(points); + row_splines.push(row_spline); + } + let mut column_splines = Vec::with_capacity(x.len()); + for column in 0..x.len() { + + let mut column_f = Vec::new(); + for y_index in 0..y.len() { + column_f.push(f[y_index*x.len() + column]); + } + let points: Vec<(f64,f64)> = y.iter().enumerate().map(|it|{ + let (index, y_val) = it; + let f_val = column_f[index]; + (*y_val, f_val) + }).collect(); + let column_spline = crate::Spline::from_vec(points); + column_splines.push(column_spline); + } + // calculate partial and cross derivatives + let mut fx = Vec::with_capacity(f.len()); + let mut fy = Vec::with_capacity(f.len()); + for row in 0..y.len(){ + for column in 0..x.len(){ + let x_val = x[column]; + let fx_val = row_splines[row].derivative_1(x_val); + fx.push(fx_val); + let y_val = y[row]; + let fy_val = column_splines[column].derivative_1(y_val); + fy.push(fy_val); + } + } + let fxy = vec![0.0; f.len()]; + bicubic::from_vec(&x, &y, &f, &fx, &fy, &fxy) +} + + +#[cfg(test)] +fn output(file: String, sampling: &dyn Fn(f64, f64)-> f64, x_min: f64, x_max: f64, y_min: f64, y_max: f64, delta: f64){ + let x_steps = ((x_max - x_min)/delta) as usize; + let y_steps = ((y_max - y_min)/delta) as usize; + println!("x_steps: {}, y_steps {}", x_steps, y_steps); + let mut contents = String::default(); + for yi in 0..y_steps{ + for xi in 0..x_steps{ + let x = xi as f64*delta+x_min; + let y = yi as f64*delta+y_min; + let z= sampling(x, y); + contents.push_str(format!("{} {} {}\n", x, y, z).as_str()); + } + } + std::fs::write(&file, contents).unwrap(); +} + +#[test] +fn bicub(){ + let x = vec![-4.0, -3.0, -2.0, -1.0, 0.0, 1.0, 2.0, 3.0, 4.0]; + let y = vec![-0.0, 1.0]; + let f = vec![ + 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, + 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0]; + + let interp = bicubic_from_grid(&x, &y, &f); + output(format!("testing/manual"), &|x, y|interp.sample(x, y), -3., 3.0, -5., 4., 0.1); +} \ No newline at end of file diff --git a/src/tests.rs b/src/tests.rs index d78209a..83dcbb5 100644 --- a/src/tests.rs +++ b/src/tests.rs @@ -1,6 +1,5 @@ #[cfg(test)] -mod tests { - +mod tests{ use crate::Spline; fn output(file: String, sampling: &dyn Fn(f64)-> f64, x_min: f64, x_max: f64, delta: f64){ @@ -58,5 +57,6 @@ mod tests { let spline = Spline::from_vec(vec![(1., 3.), (2., 5.), (3., 2.)]); output(format!("testing/basic"), &|x|spline.sample(x), 0.0, 4.0, 0.01) - } + } + } \ No newline at end of file diff --git a/testing/manual b/testing/manual new file mode 100644 index 0000000..ff488a9 --- 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3.9000000000000004 0 diff --git a/testing/plot2d.py b/testing/plot2d.py new file mode 100644 index 0000000..3ccb0e2 --- /dev/null +++ b/testing/plot2d.py @@ -0,0 +1,38 @@ +import matplotlib.pyplot as plt +from matplotlib import cm +from matplotlib.ticker import LinearLocator, FormatStrFormatter +import numpy as np +import sys + +# Make data. +filename = sys.argv[1] + +data = np.genfromtxt(filename, delimiter=' ') +X = data[:,0] +Y = data[:,1] +Z = data[:,2] + +x_steps = 60 +y_steps = 90 +X = np.reshape(X, (y_steps, x_steps)) +Y = np.reshape(Y, (y_steps, x_steps)) +Z = np.reshape(Z, (y_steps, x_steps)) +print(X) +print(Y) +#X = np.array([[-2.5, 0.0, 1.5],[-2.5, 0.0, 1.5]]) +#Y = np.array([[-4.5, -4.5, -4.5],[3.2, 3.2, 3.2]]) +#Z = np.array([[12.4, 1.45, 1.33],[13.4, 13.2, 6.]]) +#Z.split(data.shape()) + +# Plot the surface. + +fig = plt.figure() +ax = fig.add_subplot(111, projection='3d') + +ax.plot_surface(X, Y, Z, cmap=cm.coolwarm, antialiased=False) + +ax.set_xlabel('X Label') +ax.set_ylabel('Y Label') +ax.set_zlabel('Z Label') + +plt.show() \ No newline at end of file