nmodl::parser::diffeq Namespace Reference

Helper functions for solving differential equations. More...

Detailed Description

Helper functions for solving differential equations.

Differential euqation parser (diffeq.yy) needs to solve derivative of various binary expressions and those are provided below. This implementation is based on original neuron implementation.

Todo:

The implementations here are verbose and has duplicate code. Need to revisit this, may be using better library like symengine altogether.

Classes
class	DiffEqContext
	Helper class used by driver and parser while solving diff equation. More...
class	Term
	Represent a term in differential equation and it's "current" solution. More...

Enumerations
enum	MathOp { MathOp::add = 1, MathOp::sub, MathOp::mul, MathOp::div }
	operators beign supported as part of binary expressions More...

Functions
template<MathOp Op>
Term	eval_derivative (const Term &first, const Term &second, bool &deriv_invalid, bool &eqn_invalid)
template<>
Term	eval_derivative< MathOp::add > (const Term &first, const Term &second, bool &deriv_invalid, bool &eqn_invalid)
	implement (f(x) + g(x))' = f'(x) + g'(x) More...
template<>
Term	eval_derivative< MathOp::sub > (const Term &first, const Term &second, bool &deriv_invalid, bool &eqn_invalid)
	implement (f(x) - g(x))' = f'(x) - g'(x) More...
template<>
Term	eval_derivative< MathOp::mul > (const Term &first, const Term &second, bool &deriv_invalid, bool &eqn_invalid)
	implement (f(x) * g(x))' = f'(x)g(x) + f(x)g'(x) More...
template<>
Term	eval_derivative< MathOp::div > (const Term &first, const Term &second, bool &deriv_invalid, bool &eqn_invalid)
	Implement (f(x) / g(x))' = (f'(x)g(x) - f(x)g'(x))/g^2(x) Note that the implementation is very limited for the g(x) and this needs to be discussed with Michael. More...

Enumeration Type Documentation

MathOp

enum nmodl::parser::diffeq::MathOp

strong

operators beign supported as part of binary expressions

Enumerator
add
sub
mul
div

Definition at line 29 of file diffeq_helper.hpp.

Function Documentation

eval_derivative()

template<MathOp Op>

Term nmodl::parser::diffeq::eval_derivative ( const Term &  first, const Term &  second, bool &  deriv_invalid, bool &  eqn_invalid  )

inline

eval_derivative< MathOp::add >()

template<>

Term nmodl::parser::diffeq::eval_derivative< MathOp::add > ( const Term &  first, const Term &  second, bool &  deriv_invalid, bool &  eqn_invalid  )

inline

implement (f(x) + g(x))' = f'(x) + g'(x)

Definition at line 40 of file diffeq_helper.hpp.

eval_derivative< MathOp::div >()

template<>

Term nmodl::parser::diffeq::eval_derivative< MathOp::div > ( const Term &  first, const Term &  second, bool &  deriv_invalid, bool &  eqn_invalid  )

inline

Implement (f(x) / g(x))' = (f'(x)g(x) - f(x)g'(x))/g^2(x) Note that the implementation is very limited for the g(x) and this needs to be discussed with Michael.

Definition at line 152 of file diffeq_helper.hpp.

eval_derivative< MathOp::mul >()

template<>

Term nmodl::parser::diffeq::eval_derivative< MathOp::mul > ( const Term &  first, const Term &  second, bool &  deriv_invalid, bool &  eqn_invalid  )

inline

implement (f(x) * g(x))' = f'(x)g(x) + f(x)g'(x)

Definition at line 114 of file diffeq_helper.hpp.

eval_derivative< MathOp::sub >()

template<>

Term nmodl::parser::diffeq::eval_derivative< MathOp::sub > ( const Term &  first, const Term &  second, bool &  deriv_invalid, bool &  eqn_invalid  )

inline

implement (f(x) - g(x))' = f'(x) - g'(x)

Definition at line 77 of file diffeq_helper.hpp.