Polynomials

Trigonometry-related functions. More...

Functions
template<typename T , typename... Coeffs>
T	sp::polynomial (T x)
	Evaluate a polynomial with the given coefficients. More...
template<int N, typename T >
T	sp::chebyshev (T x)
	Compute the value of the Nth Chebyshev polynomial of first kind at x. More...
template<typename... Coeffs, typename T >
T	sp::chebyshevSeries (T x)
	Compute the value of the Chebyshev series described by the given coefficients at point x. More...

Detailed Description

Trigonometry-related functions.

• Phase reduction.
• Trigonometric functions

Function Documentation

chebyshev()

template<int N, typename T >

T sp::chebyshev

(

T

x

)

Compute the value of the Nth Chebyshev polynomial of first kind at x.

chebyshevSeries()

template<typename... Coeffs, typename T >

T sp::chebyshevSeries

(

T

x

)

Compute the value of the Chebyshev series described by the given coefficients at point x.

The coefficients are represented as subtypes of std::ratio. These are converted to doubles and stuffed into a tuple to do the actual calculation.

polynomial()

template<typename T , typename... Coeffs>

T sp::polynomial

(

T

x

)

Evaluate a polynomial with the given coefficients.

Evaluates the polynomial ax^0 + bx^1 + c x^2 + ... where a, b, c, ... are the elemnts of Coeffs.