janus/JanusMath_8hpp_source.html

#pragma once


#include "janus/math/Arithmetic.hpp"

#include "janus/math/AutoDiff.hpp"

#include "janus/math/Calculus.hpp"

#include "janus/math/FiniteDifference.hpp"

#include "janus/math/Integrate.hpp"

#include "janus/math/IntegrateDiscrete.hpp"

#include "janus/math/IntegratorStep.hpp"

#include "janus/math/Interpolate.hpp"

#include "janus/math/Linalg.hpp"

#include "janus/math/Logic.hpp"

#include "janus/math/OrthogonalPolynomials.hpp"

#include "janus/math/PolynomialChaos.hpp"

#include "janus/math/Quadrature.hpp"

#include "janus/math/Quaternion.hpp"

#include "janus/math/RootFinding.hpp"

#include "janus/math/Rotations.hpp"

#include "janus/math/ScatteredInterpolator.hpp"

#include "janus/math/Spacing.hpp"

#include "janus/math/SurrogateModel.hpp"

#include "janus/math/Trig.hpp"

Arithmetic.hpp
Scalar and element-wise arithmetic functions (abs, sqrt, pow, exp, log, etc.).

AutoDiff.hpp
Symbolic automatic differentiation (Jacobian, gradient, Hessian, sensitivity analysis).

Calculus.hpp
Numerical differentiation and integration (gradient, trapz, cumtrapz, diff).

FiniteDifference.hpp
Finite difference weights, derivative approximations, and integration defects.

IntegrateDiscrete.hpp
Discrete integration and squared-curvature computation from sampled data.

Integrate.hpp
ODE integration for Janus framework.

IntegratorStep.hpp
Single-step explicit ODE integrators for Janus framework.

Interpolate.hpp
N-dimensional interpolation (linear, Hermite, B-spline, nearest).

Linalg.hpp
Linear algebra operations (solve, inverse, determinant, eigendecomposition, norms).

Logic.hpp
Conditional selection, comparison, and logical operations.

OrthogonalPolynomials.hpp
Orthogonal polynomial evaluation, spectral nodes, weights, and differentiation matrices.

PolynomialChaos.hpp
Polynomial chaos expansion (PCE) basis, projection, and regression.

Quadrature.hpp
Stochastic quadrature rules (Gauss, Clenshaw-Curtis, Smolyak sparse grids).

Quaternion.hpp
Quaternion algebra, rotation, and SLERP interpolation.

RootFinding.hpp
Nonlinear root finding and implicit function solvers.

Rotations.hpp
2D and 3D rotation matrices and Euler angle conversions

ScatteredInterpolator.hpp
RBF-based interpolation for unstructured scattered data.

Spacing.hpp
Point distribution generators (linspace, cosine, sine, log, geometric).

SurrogateModel.hpp
Smooth surrogate functions (softmax, softmin, softplus, sigmoid, blend, KS aggregation).

Trig.hpp
Trigonometric and inverse trigonometric functions.