Static Public Member Functions
static double	compositionMul (const Spl_U3dPoint &p1, const Spl_U3dPoint &p2, const Spl_U3dPoint &p3)

static double	scalarMul (const Spl_U3dPoint &p1, const Spl_U3dPoint &p2)

static void	matrix4x4Mul (const double(&m1)[4][4], const double(&m2)[4][4], double(&m3)[4][4], bool tr1=false, bool tr2=false)

static void	matrix2vec4x4Mul (const double(&m)[4][4], const double(&u)[4], double(&v)[4], bool tr=false)

static void	vec2matrix4x4Mul (const double(&u)[4], const double(&m)[4][4], double(&v)[4], bool tr=false)

static void	getLineCoeffs (double x1, double y1, double x2, double y2, double &k, double &b)

static int	solveSquareEq (double a, double b, double c, double &x1, double &x2)

Detailed Description

Some mathematics for different calculations

Member Function Documentation

static double Spl_U3dMath::compositionMul	(	const Spl_U3dPoint &	p1,
		const Spl_U3dPoint &	p2,
		const Spl_U3dPoint &	p3
	)

static

Compositional 3d vector multiplication. This is determinant of constructed from vectors components matrix.

static void Spl_U3dMath::getLineCoeffs	(	double	x1,
		double	y1,
		double	x2,
		double	y2,
		double &	k,
		double &	b
	)

inlinestatic

Get coefficients of line y=kx+b from (x1,y1) and (x2,y2) line points. Points should not be the same.

static void Spl_U3dMath::matrix2vec4x4Mul	(	const double(&)	m[4][4],
		const double(&)	u[4],
		double(&)	v[4],
		bool	tr = `false`
	)

static

Calculate vector to matrix multiplication. Dimension is 4. tr = true if matrix is transposed

static void Spl_U3dMath::matrix4x4Mul	(	const double(&)	m1[4][4],
		const double(&)	m2[4][4],
		double(&)	m3[4][4],
		bool	tr1 = `false`,
		bool	tr2 = `false`
	)

static

Multiplication of two 4x4 matricies. tr1 = true if m1 should be transpose and tr2 = true if m2 should be transpose

static double Spl_U3dMath::scalarMul	(	const Spl_U3dPoint &	p1,
		const Spl_U3dPoint &	p2
	)

static

Scalar 3d vectors multiplication

static int Spl_U3dMath::solveSquareEq	(	double	a,
		double	b,
		double	c,
		double &	x1,
		double &	x2
	)

static

Solve square equation ax^2 + bx + c = 0 (real form). Return number of roots

static void Spl_U3dMath::vec2matrix4x4Mul	(	const double(&)	u[4],
		const double(&)	m[4][4],
		double(&)	v[4],
		bool	tr = `false`
	)

static

Calculate vector to matrix multiplication. Dimension is 4. tr = true if matrix is transposed

double Spl_U3dMath::m_d_prec

static

Numerical precision

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