codac2_sympy.h File Reference

#include <stdexcept>
#include "codac2_AnalyticFunction.h"

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Namespaces
namespace	codac2

Functions
AnalyticFunction< ScalarType >	codac2::sympy_simplify (const AnalyticFunction< ScalarType > &f)
	Symbolically simplifies a scalar analytic function.
AnalyticFunction< VectorType >	codac2::sympy_simplify (const AnalyticFunction< VectorType > &f)
	Symbolically simplifies a vector analytic function componentwise.
AnalyticFunction< MatrixType >	codac2::sympy_simplify (const AnalyticFunction< MatrixType > &f)
	Symbolically simplifies a matrix analytic function componentwise.
AnalyticFunction< ScalarType >	codac2::sympy_horner (const AnalyticFunction< ScalarType > &f)
	Rewrites a scalar analytic function in Horner form when possible.
AnalyticFunction< VectorType >	codac2::sympy_horner (const AnalyticFunction< VectorType > &f)
	Rewrites a vector analytic function in Horner form componentwise.
AnalyticFunction< MatrixType >	codac2::sympy_horner (const AnalyticFunction< MatrixType > &f)
	Rewrites a matrix analytic function in Horner form componentwise.
AnalyticFunction< ScalarType >	codac2::sympy_partial_diff (const AnalyticFunction< ScalarType > &f, Index flat_input_index)
	Returns the symbolic partial derivative of a scalar function.
AnalyticFunction< ScalarType >	codac2::sympy_partial_diff (const AnalyticFunction< ScalarType > &f, const ScalarVar &x)
	Returns the symbolic partial derivative of a scalar function with respect to a scalar input variable.
AnalyticFunction< ScalarType >	codac2::sympy_partial_diff (const AnalyticFunction< ScalarType > &f, const ScalarExpr &x)
	Returns the symbolic partial derivative of a scalar function with respect to a scalar input expression.
AnalyticFunction< ScalarType >	codac2::sympy_diff (const AnalyticFunction< ScalarType > &f)
	Returns the symbolic derivative of a scalar univariate function.
AnalyticFunction< ScalarType >	codac2::sympy_diff (const AnalyticFunction< ScalarType > &f, const ScalarVar &x)
	Returns the symbolic first derivative of a scalar function with respect to a scalar input variable.
AnalyticFunction< ScalarType >	codac2::sympy_diff (const AnalyticFunction< ScalarType > &f, const ScalarExpr &x)
	Returns the symbolic first derivative of a scalar function with respect to a scalar input expression.
AnalyticFunction< ScalarType >	codac2::sympy_diff (const AnalyticFunction< ScalarType > &f, Index order)
	Returns the symbolic derivative of given order for a scalar univariate function.
AnalyticFunction< ScalarType >	codac2::sympy_diff (const AnalyticFunction< ScalarType > &f, const ScalarVar &x, Index order)
	Returns the symbolic derivative of given order for a scalar function with respect to a scalar input variable.
AnalyticFunction< ScalarType >	codac2::sympy_diff (const AnalyticFunction< ScalarType > &f, const ScalarExpr &x, Index order)
	Returns the symbolic derivative of given order for a scalar function with respect to a scalar input expression.
AnalyticFunction< VectorType >	codac2::sympy_gradient (const AnalyticFunction< ScalarType > &f)
	Returns the symbolic gradient of a scalar function.
AnalyticFunction< MatrixType >	codac2::sympy_hessian (const AnalyticFunction< ScalarType > &f)
	Returns the symbolic Hessian matrix of a scalar function.
AnalyticFunction< MatrixType >	codac2::sympy_diff (const AnalyticFunction< VectorType > &f)
	Returns the symbolic Jacobian matrix of a vector function.
AnalyticFunction< ScalarType >	codac2::sympy_series (const AnalyticFunction< ScalarType > &f, double center, Index order)
	Returns a truncated Taylor series of a scalar univariate function.
AnalyticFunction< ScalarType >	codac2::sympy_series (const AnalyticFunction< ScalarType > &f, const ScalarVar &x, double center, Index order)
	Returns a truncated Taylor series of a scalar function with respect to a scalar input variable.
AnalyticFunction< ScalarType >	codac2::sympy_series (const AnalyticFunction< ScalarType > &f, const ScalarExpr &x, double center, Index order)
	Returns a truncated Taylor series of a scalar function with respect to a scalar input expression.
bool	codac2::sympy_equal (const AnalyticFunction< ScalarType > &f, const AnalyticFunction< ScalarType > &g)
	Tests symbolic equality of two scalar analytic functions through SymPy.
bool	codac2::sympy_equal (const AnalyticFunction< VectorType > &f, const AnalyticFunction< VectorType > &g)
	Tests symbolic equality of two vector analytic functions through SymPy.
bool	codac2::sympy_equal (const AnalyticFunction< MatrixType > &f, const AnalyticFunction< MatrixType > &g)
	Tests symbolic equality of two matrix analytic functions through SymPy.

Detailed Description

Date

2026

Author

Simon Rohou, Maël Godard

Copyright

Copyright 2026 Codac Team

License: GNU Lesser General Public License (LGPL)