Collaboration diagram for Vector Mathematics:

Functions
void	vector_add (u32 n, const double a, const double b, double *c)
void	vector_add_sc (u32 n, const double a, const double b, double gamma, double *c)
void	vector_cross (const double a[3], const double b[3], double c[3])
double	vector_dot (u32 n, const double a, const double b)
double	vector_mean (u32 n, const double *a)
double	vector_norm (u32 n, const double *a)
void	vector_normalize (u32 n, double *a)
void	vector_subtract (u32 n, const double a, const double b, double *c)

Detailed Description

Vector math routines.

Function Documentation

void vector_add	(	u32	n,
		const double *	a,
		const double *	b,
		double *	c
	)

Add two vectors. Compute $\vec{c} := \vec{a} + \vec{b}$ , where $\vec{a}$ , $\vec{b}$ and $\vec{c}$ are vectors of length $n$ .

Parameters:

n	Length of a, b and c
a	First input vector
b	Second input vector
c	Output vector

Definition at line 1064 of file linear_algebra.c.

void vector_add_sc	(	u32	n,
		const double *	a,
		const double *	b,
		double	gamma,
		double *	c
	)

Add a vector with a scaled vector. Compute $\vec{c} := \vec{a} + \gamma\vec{b}$ , where $\vec{a}$ , $\vec{b}$ and $\vec{c}$ are vectors of length $n$ and $\gamma$ is a scalar.

Parameters:

n	Length of a, b and c
a	First input vector (unscaled)
b	Second input vector (will be scaled)
gamma	Coefficient for b
c	Output vector

Definition at line 1047 of file linear_algebra.c.

void vector_cross	(	const double	a[3],
		const double	b[3],
		double	c[3]
	)

Cross product of two vectors. Compute $\vec{c} := \vec{a} * \times \vec{b}$ , where $\vec{a}$ , $\vec{b}$ and * $\vec{c}$ are 3-vectors.

Parameters:

n	Length of a, b and c
a	First input vector
b	Second input vector
c	Output vector

Definition at line 1092 of file linear_algebra.c.

double vector_dot	(	u32	n,
		const double *	a,
		const double *	b
	)

Dot product between two vectors. Compute the inner (scalar) (dot) product $\vec{a} \cdot \vec{b}$ , where $\vec{a}$ and $\vec{b}$ are vectors of length $n$ .

Parameters:

n	Length of a and b
a	First vector
b	Second vector

Returns:: The dot product.

Definition at line 980 of file linear_algebra.c.

double vector_mean	(	u32	n,
		const double *	a
	)

Find the mean of a vector. Compute the mean of a vector $\vec{a}$ of length $n$ .

Parameters:

n	Length of a
a	Input vector

Returns:: The mean of $\vec{a}$

Definition at line 1014 of file linear_algebra.c.

double vector_norm	(	u32	n,
		const double *	a
	)

Find the 2-norm of a vector. Compute the $l_{2}$ norm of a vector $\vec{a}$ of length $n$ .

Parameters:

n	Length of a
a	Input vector

Returns:: The 2-norm of a

Definition at line 998 of file linear_algebra.c.

void vector_normalize	(	u32	n,
		double *	a
	)

Normalize a vector in place. Rescale $\vec{a}$ of length $n$ so that its $l_{2}$ norm is equal to 1.

Parameters:

n	Length of a
a	Vector to normalize

Definition at line 1029 of file linear_algebra.c.

void vector_subtract	(	u32	n,
		const double *	a,
		const double *	b,
		double *	c
	)

Subtract one vector from another. Compute $\vec{c} := \vec{a} - \vec{b}$ , where $\vec{a}$ , $\vec{b}$ and $\vec{c}$ are vectors of length $n$ .

Parameters:

n	Length of a, b and c
a	First input vector
b	Second input vector
c	Output vector

Definition at line 1078 of file linear_algebra.c.

Functions

Detailed Description

Function Documentation