MathUtils_FunctorScalar.hxx File Reference

Non-virtual functor classes for scalar (1D) functions. More...

#include <math_Vector.hxx>
#include <cmath>
#include <initializer_list>
#include <utility>

Data Structures
class	MathUtils::ScalarLambda< Lambda >
	Lambda wrapper for scalar functions with value only. Wraps a lambda/callable into a functor with Value() method. More...
class	MathUtils::ScalarLambdaWithDerivative< Lambda >
	Lambda wrapper for scalar functions with value and derivative. Wraps a lambda/callable into a functor with Values() method. More...
class	MathUtils::Polynomial
	Polynomial functor: f(x) = sum(a[i] * x^i). Coefficients are stored in order: a[0] + a[1]*x + a[2]*x^2 + ... More...
class	MathUtils::Rational
	Rational function functor: f(x) = P(x) / Q(x). Both numerator P and denominator Q are polynomials. More...
class	MathUtils::Composite< Outer, Inner >
	Composite functor: f(g(x)). Evaluates the outer function at the result of the inner function. More...
class	MathUtils::Sum< F, G >
	Sum of functions functor: f(x) + g(x). More...
class	MathUtils::Difference< F, G >
	Difference of functions functor: f(x) - g(x). More...
class	MathUtils::Product< F, G >
	Product of functions functor: f(x) * g(x). More...
class	MathUtils::Quotient< F, G >
	Quotient of functions functor: f(x) / g(x). More...
class	MathUtils::Scaled< F >
	Scaled function functor: c * f(x). More...
class	MathUtils::Shifted< F >
	Shifted function functor: f(x) + c. More...
class	MathUtils::Negated< F >
	Negated function functor: -f(x). More...
class	MathUtils::Constant
	Constant function functor: f(x) = c. More...
class	MathUtils::Linear
	Linear function functor: f(x) = a*x + b. More...
class	MathUtils::Sine
	Sine function functor: f(x) = a * sin(b*x + c) + d. More...
class	MathUtils::Cosine
	Cosine function functor: f(x) = a * cos(b*x + c) + d. More...
class	MathUtils::Exponential
	Exponential function functor: f(x) = a * exp(b*x) + c. More...
class	MathUtils::Power
	Power function functor: f(x) = a * x^n + b. More...
class	MathUtils::Gaussian
	Gaussian function functor: f(x) = a * exp(-((x-mu)^2)/(2*sigma^2)). More...

Namespaces
namespace	MathUtils
	Modern math solver types and result structures.

Functions
template<typename Lambda>
ScalarLambda< Lambda >	MathUtils::MakeScalar (Lambda theLambda)
	Helper function to create ScalarLambda with type deduction.
template<typename Lambda>
ScalarLambdaWithDerivative< Lambda >	MathUtils::MakeScalarWithDerivative (Lambda theLambda)
	Helper function to create ScalarLambdaWithDerivative with type deduction.
template<typename Outer, typename Inner>
Composite< Outer, Inner >	MathUtils::MakeComposite (Outer theOuter, Inner theInner)
	Helper function to create Composite with type deduction.
template<typename F, typename G>
Sum< F, G >	MathUtils::MakeSum (F theF, G theG)
	Helper function to create Sum with type deduction.
template<typename F, typename G>
Difference< F, G >	MathUtils::MakeDifference (F theF, G theG)
	Helper function to create Difference with type deduction.
template<typename F, typename G>
Product< F, G >	MathUtils::MakeProduct (F theF, G theG)
	Helper function to create Product with type deduction.
template<typename F, typename G>
Quotient< F, G >	MathUtils::MakeQuotient (F theF, G theG)
	Helper function to create Quotient with type deduction.
template<typename F>
Scaled< F >	MathUtils::MakeScaled (F theF, double theScale)
	Helper function to create Scaled with type deduction.
template<typename F>
Shifted< F >	MathUtils::MakeShifted (F theF, double theShift)
	Helper function to create Shifted with type deduction.
template<typename F>
Negated< F >	MathUtils::MakeNegated (F theF)
	Helper function to create Negated with type deduction.

Detailed Description

Non-virtual functor classes for scalar (1D) functions.

Provides ready-to-use functor classes that work with the template-based math API (MathRoot, MathOpt, MathInteg) without virtual dispatch overhead.