polynomial operators

docs/index.md

@@ -1,45 +1,278 @@
-# beignet
+# Operators
+
+## Geometry
+
+### Euler Angle
 
 ::: beignet.apply_euler_angle
-::: beignet.apply_quaternion
-::: beignet.apply_rotation_matrix
-::: beignet.apply_rotation_vector
 ::: beignet.compose_euler_angle
-::: beignet.compose_quaternion
-::: beignet.compose_rotation_matrix
-::: beignet.compose_rotation_vector
 ::: beignet.euler_angle_identity
 ::: beignet.euler_angle_magnitude
 ::: beignet.euler_angle_mean
 ::: beignet.euler_angle_to_quaternion
 ::: beignet.euler_angle_to_rotation_matrix
 ::: beignet.euler_angle_to_rotation_vector
 ::: beignet.invert_euler_angle
+::: beignet.random_euler_angle
+
+### Quaternion
+
+::: beignet.apply_quaternion
+::: beignet.compose_quaternion
 ::: beignet.invert_quaternion
-::: beignet.invert_rotation_matrix
-::: beignet.invert_rotation_vector
-::: beignet.lennard_jones_potential
 ::: beignet.quaternion_identity
 ::: beignet.quaternion_magnitude
 ::: beignet.quaternion_mean
 ::: beignet.quaternion_slerp
 ::: beignet.quaternion_to_euler_angle
 ::: beignet.quaternion_to_rotation_matrix
 ::: beignet.quaternion_to_rotation_vector
-::: beignet.random_euler_angle
 ::: beignet.random_quaternion
+
+### Rotation Matrix
+
+::: beignet.apply_rotation_matrix
+::: beignet.compose_rotation_matrix
+::: beignet.invert_rotation_matrix
 ::: beignet.random_rotation_matrix
-::: beignet.random_rotation_vector
 ::: beignet.rotation_matrix_identity
 ::: beignet.rotation_matrix_magnitude
 ::: beignet.rotation_matrix_mean
 ::: beignet.rotation_matrix_to_euler_angle
 ::: beignet.rotation_matrix_to_quaternion
 ::: beignet.rotation_matrix_to_rotation_vector
+
+### Rotation Vector
+
+::: beignet.apply_rotation_vector
+::: beignet.compose_rotation_vector
+::: beignet.invert_rotation_vector
+::: beignet.random_rotation_vector
 ::: beignet.rotation_vector_identity
 ::: beignet.rotation_vector_magnitude
 ::: beignet.rotation_vector_mean
 ::: beignet.rotation_vector_to_euler_angle
 ::: beignet.rotation_vector_to_quaternion
 ::: beignet.rotation_vector_to_rotation_matrix
+
+### Translation
+
 ::: beignet.translation_identity
+
+### Transform
+
+::: beignet.apply_transform
+::: beignet.invert_transform
+
+## Interpolation
+
+## Numerical Integration
+
+### Gaussian Quadrature
+
+::: beignet.gauss_laguerre_quadrature
+::: beignet.gauss_legendre_quadrature
+::: beignet.gauss_physicists_hermite_polynomial_quadrature
+::: beignet.gauss_probabilists_hermite_polynomial_quadrature
+
+## Polynomials
+
+### Polynomial
+
+::: beignet.add_polynomial
+::: beignet.differentiate_polynomial
+::: beignet.divide_polynomial
+::: beignet.evaluate_polynomial
+::: beignet.evaluate_polynomial_2d
+::: beignet.evaluate_polynomial_3d
+::: beignet.evaluate_polynomial_cartesian_2d
+::: beignet.evaluate_polynomial_cartesian_3d
+::: beignet.evaluate_polynomial_from_roots
+::: beignet.fit_polynomial
+::: beignet.integrate_polynomial
+::: beignet.linear_polynomial
+::: beignet.multiply_polynomial
+::: beignet.multiply_polynomial_by_x
+::: beignet.polynomial_companion
+::: beignet.polynomial_domain
+::: beignet.polynomial_from_roots
+::: beignet.polynomial_one
+::: beignet.polynomial_power
+::: beignet.polynomial_roots
+::: beignet.polynomial_to_chebyshev_polynomial
+::: beignet.polynomial_to_laguerre_polynomial
+::: beignet.polynomial_to_legendre_polynomial
+::: beignet.polynomial_to_physicists_hermite_polynomial
+::: beignet.polynomial_to_probabilists_hermite_polynomial
+::: beignet.polynomial_vandermonde
+::: beignet.polynomial_vandermonde_2d
+::: beignet.polynomial_vandermonde_3d
+::: beignet.polynomial_x
+::: beignet.polynomial_zero
+::: beignet.subtract_polynomial
+::: beignet.trim_polynomial_coefficients
+
+### Chebyshev Polynomial
+
+::: beignet.add_chebyshev_polynomial
+::: beignet.chebyshev_extrema
+::: beignet.chebyshev_gauss_quadrature
+::: beignet.chebyshev_interpolation
+::: beignet.chebyshev_polynomial_companion
+::: beignet.chebyshev_polynomial_domain
+::: beignet.chebyshev_polynomial_from_roots
+::: beignet.chebyshev_polynomial_one
+::: beignet.chebyshev_polynomial_power
+::: beignet.chebyshev_polynomial_roots
+::: beignet.chebyshev_polynomial_to_polynomial
+::: beignet.chebyshev_polynomial_vandermonde
+::: beignet.chebyshev_polynomial_vandermonde_2d
+::: beignet.chebyshev_polynomial_vandermonde_3d
+::: beignet.chebyshev_polynomial_weight
+::: beignet.chebyshev_polynomial_x
+::: beignet.chebyshev_polynomial_zero
+::: beignet.chebyshev_zeros
+::: beignet.differentiate_chebyshev_polynomial
+::: beignet.divide_chebyshev_polynomial
+::: beignet.evaluate_chebyshev_polynomial
+::: beignet.evaluate_chebyshev_polynomial_2d
+::: beignet.evaluate_chebyshev_polynomial_3d
+::: beignet.evaluate_chebyshev_polynomial_cartesian_2d
+::: beignet.evaluate_chebyshev_polynomial_cartesian_3d
+::: beignet.fit_chebyshev_polynomial
+::: beignet.integrate_chebyshev_polynomial
+::: beignet.linear_chebyshev_polynomial
+::: beignet.multiply_chebyshev_polynomial
+::: beignet.multiply_chebyshev_polynomial_by_x
+::: beignet.subtract_chebyshev_polynomial
+::: beignet.trim_chebyshev_polynomial_coefficients
+
+### Laguerre Polynomial
+
+::: beignet.add_laguerre_polynomial
+::: beignet.differentiate_laguerre_polynomial
+::: beignet.divide_laguerre_polynomial
+::: beignet.evaluate_laguerre_polynomial
+::: beignet.evaluate_laguerre_polynomial_2d
+::: beignet.evaluate_laguerre_polynomial_3d
+::: beignet.evaluate_laguerre_polynomial_cartesian_2d
+::: beignet.evaluate_laguerre_polynomial_cartesian_3d
+::: beignet.fit_laguerre_polynomial
+::: beignet.integrate_laguerre_polynomial
+::: beignet.laguerre_polynomial_companion
+::: beignet.laguerre_polynomial_domain
+::: beignet.laguerre_polynomial_from_roots
+::: beignet.laguerre_polynomial_one
+::: beignet.laguerre_polynomial_power
+::: beignet.laguerre_polynomial_roots
+::: beignet.laguerre_polynomial_to_polynomial
+::: beignet.laguerre_polynomial_vandermonde
+::: beignet.laguerre_polynomial_vandermonde_2d
+::: beignet.laguerre_polynomial_vandermonde_3d
+::: beignet.laguerre_polynomial_weight
+::: beignet.laguerre_polynomial_x
+::: beignet.laguerre_polynomial_zero
+::: beignet.linear_laguerre_polynomial
+::: beignet.multiply_laguerre_polynomial
+::: beignet.multiply_laguerre_polynomial_by_x
+::: beignet.subtract_laguerre_polynomial
+::: beignet.trim_laguerre_polynomial_coefficients
+
+### Legendre Polynomial
+
+::: beignet.add_legendre_polynomial
+::: beignet.differentiate_legendre_polynomial
+::: beignet.divide_legendre_polynomial
+::: beignet.evaluate_legendre_polynomial
+::: beignet.evaluate_legendre_polynomial_2d
+::: beignet.evaluate_legendre_polynomial_3d
+::: beignet.evaluate_legendre_polynomial_cartesian_2d
+::: beignet.evaluate_legendre_polynomial_cartesian_3d
+::: beignet.fit_legendre_polynomial
+::: beignet.integrate_legendre_polynomial
+::: beignet.legendre_polynomial_companion
+::: beignet.legendre_polynomial_domain
+::: beignet.legendre_polynomial_from_roots
+::: beignet.legendre_polynomial_one
+::: beignet.legendre_polynomial_power
+::: beignet.legendre_polynomial_roots
+::: beignet.legendre_polynomial_to_polynomial
+::: beignet.legendre_polynomial_vandermonde
+::: beignet.legendre_polynomial_vandermonde_2d
+::: beignet.legendre_polynomial_vandermonde_3d
+::: beignet.legendre_polynomial_weight
+::: beignet.legendre_polynomial_x
+::: beignet.legendre_polynomial_zero
+::: beignet.linear_legendre_polynomial
+::: beignet.multiply_legendre_polynomial
+::: beignet.multiply_legendre_polynomial_by_x
+::: beignet.subtract_legendre_polynomial
+::: beignet.trim_legendre_polynomial_coefficients
+
+### Physicists’ Hermite Polynomial
+
+::: beignet.add_physicists_hermite_polynomial
+::: beignet.differentiate_physicists_hermite_polynomial
+::: beignet.divide_physicists_hermite_polynomial
+::: beignet.evaluate_physicists_hermite_polynomial
+::: beignet.evaluate_physicists_hermite_polynomial_2d
+::: beignet.evaluate_physicists_hermite_polynomial_3d
+::: beignet.evaluate_physicists_hermite_polynomial_cartesian_2d
+::: beignet.evaluate_physicists_hermite_polynomial_cartesian_3d
+::: beignet.fit_physicists_hermite_polynomial
+::: beignet.integrate_physicists_hermite_polynomial
+::: beignet.linear_physicists_hermite_polynomial
+::: beignet.multiply_physicists_hermite_polynomial
+::: beignet.multiply_physicists_hermite_polynomial_by_x
+::: beignet.physicists_hermite_polynomial_companion
+::: beignet.physicists_hermite_polynomial_domain
+::: beignet.physicists_hermite_polynomial_from_roots
+::: beignet.physicists_hermite_polynomial_one
+::: beignet.physicists_hermite_polynomial_power
+::: beignet.physicists_hermite_polynomial_roots
+::: beignet.physicists_hermite_polynomial_to_polynomial
+::: beignet.physicists_hermite_polynomial_vandermonde
+::: beignet.physicists_hermite_polynomial_vandermonde_2d
+::: beignet.physicists_hermite_polynomial_vandermonde_3d
+::: beignet.physicists_hermite_polynomial_weight
+::: beignet.physicists_hermite_polynomial_x
+::: beignet.physicists_hermite_polynomial_zero
+::: beignet.subtract_physicists_hermite_polynomial
+::: beignet.trim_physicists_hermite_polynomial_coefficients
+
+### Probabilists’ Hermite Polynomial
+
+::: beignet.add_probabilists_hermite_polynomial
+::: beignet.differentiate_probabilists_hermite_polynomial
+::: beignet.divide_probabilists_hermite_polynomial
+::: beignet.evaluate_probabilists_hermite_polynomial
+::: beignet.evaluate_probabilists_hermite_polynomial_2d
+::: beignet.evaluate_probabilists_hermite_polynomial_3d
+::: beignet.evaluate_probabilists_hermite_polynomial_cartersian_2d
+::: beignet.evaluate_probabilists_hermite_polynomial_cartersian_3d
+::: beignet.fit_probabilists_hermite_polynomial
+::: beignet.integrate_probabilists_hermite_polynomial
+::: beignet.linear_probabilists_hermite_polynomial
+::: beignet.multiply_probabilists_hermite_polynomial
+::: beignet.multiply_probabilists_hermite_polynomial_by_x
+::: beignet.probabilists_hermite_polynomial_companion
+::: beignet.probabilists_hermite_polynomial_domain
+::: beignet.probabilists_hermite_polynomial_from_roots
+::: beignet.probabilists_hermite_polynomial_one
+::: beignet.probabilists_hermite_polynomial_power
+::: beignet.probabilists_hermite_polynomial_roots
+::: beignet.probabilists_hermite_polynomial_to_polynomial
+::: beignet.probabilists_hermite_polynomial_vandermonde
+::: beignet.probabilists_hermite_polynomial_vandermonde_2d
+::: beignet.probabilists_hermite_polynomial_vandermonde_3d
+::: beignet.probabilists_hermite_polynomial_weight
+::: beignet.probabilists_hermite_polynomial_x
+::: beignet.probabilists_hermite_polynomial_zero
+::: beignet.subtract_probabilists_hermite_polynomial
+::: beignet.trim_probabilists_hermite_polynomial_coefficients
+
+## Thermodynamics
+
+### Interatomic Potentials
+
+::: beignet.lennard_jones_potential

mkdocs.yml

@@ -1,20 +1,31 @@
+extra_css:
+  - "stylesheets/extra.css"
 extra_javascript:
   - "javascripts/mathjax.js"
   - "https://polyfill.io/v3/polyfill.min.js?features=es6"
   - "https://unpkg.com/mathjax@3/es5/tex-mml-chtml.js"
 markdown_extensions:
   - pymdownx.arithmatex:
       generic: true
+nav:
+  - beignet: "index.md"
+  - beignet.datasets: "beignet.datasets.md"
+  - beignet.features: "beignet.features.md"
+  - beignet.func: "beignet.func.md"
+  - beignet.io: "beignet.io.md"
+  - beignet.special: "beignet.special.md"
+  - beignet.transforms: "beignet.transforms.md"
 plugins:
   - mkdocstrings:
       default_handler: "python"
       handlers:
         python:
           options:
+            heading_level: 4
             docstring_style: "numpy"
             separate_signature: true
             show_root_heading: true
             show_source: true
 site_name: "Beignet"
 theme:
-  name: "material"
+  name: "material"

pyproject.toml

@@ -11,6 +11,7 @@ authors = [{ email = "[email protected]", name = "Allen Goodman" }]
 dependencies = [
     "pooch",
     "torch==2.2.2",
+    "torchaudio",
     "tqdm",
 ]
 dynamic = ["version"]
@@ -29,6 +30,7 @@ docs = [
 ]
 test = [
     "hypothesis",
+    "numpy==1.26.4",
     "pytest",
     "pytest-mock",
     "scipy",