Math Namespace Reference

Functions
bool	calculatePolynomial (const Eigen::MatrixXd &table, double airSpeedMod, Eigen::VectorXd &polynomialCoeffs)
size_t	findPrevRowIdxInIncreasingSequence (const Eigen::MatrixXd &table, double value)
	Given an increasing sequence and a key, return the index of the previous element closest to the key. More...
size_t	findPrevRowIdxInMonotonicSequence (const Eigen::MatrixXd &matrix, double key)
	Given monotonic sequence (increasing or decreasing) and key, return the index of the previous element closest to the key. More...
double	griddata (const Eigen::MatrixXd &x, const Eigen::MatrixXd &y, const Eigen::MatrixXd &z, double x_val, double y_val)
double	lerp (double a, double b, double f)
double	polyval (const Eigen::VectorXd &poly, double val)

Function Documentation

calculatePolynomial()

bool Math::calculatePolynomial	(	const Eigen::MatrixXd &	table,
		double	airSpeedMod,
		Eigen::VectorXd &	polynomialCoeffs
	)

Parameters

[in]	table	must have size (1 + NUM_OF_COEFFS, NUM_OF_POINTS), min size is (2, 2)
[in]	airSpeedMod	should be between table(0, 0) and table(NUM_OF_COEFFS, 0)
[in,out]	polynomialCoeffs	must have size should be at least NUM_OF_COEFFS

Returns

true and modify polynomialCoeffs if input is ok, otherwise return false

Definition at line 87 of file common_math.cpp.

findPrevRowIdxInIncreasingSequence()

size_t Math::findPrevRowIdxInIncreasingSequence	(	const Eigen::MatrixXd &	table,
		double	value
	)

Given an increasing sequence and a key, return the index of the previous element closest to the key.

Note

size should be greater or equel than 2!

Definition at line 59 of file common_math.cpp.

findPrevRowIdxInMonotonicSequence()

size_t Math::findPrevRowIdxInMonotonicSequence	(	const Eigen::MatrixXd &	matrix,
		double	key
	)

Given monotonic sequence (increasing or decreasing) and key, return the index of the previous element closest to the key.

Note

size should be greater or equel than 2!

Definition at line 38 of file common_math.cpp.

griddata()

double Math::griddata	(	const Eigen::MatrixXd &	x,
		const Eigen::MatrixXd &	y,
		const Eigen::MatrixXd &	z,
		double	x_val,
		double	y_val
	)

Note

Similar to https://www.mathworks.com/help/matlab/ref/griddata.html Implementation from https://en.wikipedia.org/wiki/Bilinear_interpolation

Definition at line 68 of file common_math.cpp.

lerp()

double Math::lerp	(	double	a,
		double	b,
		double	f
	)

Note

https://en.wikipedia.org/wiki/Linear_interpolation

Definition at line 26 of file common_math.cpp.

polyval()

double Math::polyval	(	const Eigen::VectorXd &	poly,
		double	val
	)

Definition at line 30 of file common_math.cpp.