pulp::signal::Polynomial Struct Reference

Polynomial evaluation and manipulation utilities. More...

#include <poly_math.hpp>

Static Public Member Functions
template<typename SampleType = float>
static SampleType	eval (const std::vector< SampleType > &coeffs, SampleType x)
	Evaluate polynomial using Horner's method.
template<typename SampleType = float>
static std::complex< SampleType >	eval_complex (const std::vector< SampleType > &coeffs, std::complex< SampleType > z)
	Evaluate complex polynomial (for frequency response).
template<typename SampleType = float>
static std::pair< std::complex< SampleType >, std::complex< SampleType > >	roots_quadratic (SampleType a, SampleType b, SampleType c)
	Roots of quadratic ax^2 + bx + c.
template<typename SampleType = float>
static std::vector< SampleType >	multiply (const std::vector< SampleType > &a, const std::vector< SampleType > &b)
	Multiply two polynomials (convolution of coefficients). Not RT-safe.
template<typename SampleType = float>
static std::vector< SampleType >	add (const std::vector< SampleType > &a, const std::vector< SampleType > &b)
	Add two polynomials. Not RT-safe.
template<typename SampleType = float>
static std::vector< SampleType >	scale (const std::vector< SampleType > &p, SampleType s)
	Scale all coefficients by a constant. Not RT-safe.
template<typename SampleType = float>
static std::vector< SampleType >	derivative (const std::vector< SampleType > &p)
	Derivative of a polynomial. Not RT-safe.

Detailed Description

Polynomial evaluation and manipulation utilities.

RT contract: eval(), eval_complex(), roots_quadratic(), and fixed-size matrix operations are allocation-free. Helpers that return std::vector allocate result storage and are design/control-thread utilities.

// Evaluate polynomial: 3x^2 + 2x + 1
float y = Polynomial::eval({1.0f, 2.0f, 3.0f}, x); // coeffs[0] = constant
 
// Find roots of quadratic
auto roots = Polynomial::roots_quadratic(1.0f, -3.0f, 2.0f); // x=1, x=2

Member Function Documentation

add()

template<typename SampleType = float>

std::vector< SampleType > pulp::signal::Polynomial::add ( const std::vector< SampleType > & a, const std::vector< SampleType > & b )

inlinestatic

Add two polynomials. Not RT-safe.

derivative()

template<typename SampleType = float>

std::vector< SampleType > pulp::signal::Polynomial::derivative ( const std::vector< SampleType > & p )

inlinestatic

Derivative of a polynomial. Not RT-safe.

eval()

template<typename SampleType = float>

SampleType pulp::signal::Polynomial::eval ( const std::vector< SampleType > & coeffs, SampleType x )

inlinestatic

Evaluate polynomial using Horner's method.

coeffs[0] = constant, coeffs[n] = x^n coefficient.

eval_complex()

template<typename SampleType = float>

std::complex< SampleType > pulp::signal::Polynomial::eval_complex ( const std::vector< SampleType > & coeffs, std::complex< SampleType > z )

inlinestatic

Evaluate complex polynomial (for frequency response).

multiply()

template<typename SampleType = float>

std::vector< SampleType > pulp::signal::Polynomial::multiply ( const std::vector< SampleType > & a, const std::vector< SampleType > & b )

inlinestatic

Multiply two polynomials (convolution of coefficients). Not RT-safe.

roots_quadratic()

template<typename SampleType = float>

std::pair< std::complex< SampleType >, std::complex< SampleType > > pulp::signal::Polynomial::roots_quadratic ( SampleType a, SampleType b, SampleType c )

inlinestatic

Roots of quadratic ax^2 + bx + c.

Returns complex roots (may be real with imag=0).

scale()

template<typename SampleType = float>

std::vector< SampleType > pulp::signal::Polynomial::scale ( const std::vector< SampleType > & p, SampleType s )

inlinestatic

Scale all coefficients by a constant. Not RT-safe.

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The documentation for this struct was generated from the following file:

• /home/runner/work/pulp/pulp/core/signal/include/pulp/signal/poly_math.hpp