integer_matrix.h File Reference

Typedefs
typedef struct _integermatrix	IntegerMatrix

Functions
IntegerMatrix *	intmat_new (unsigned int rows, unsigned int cols)
IntegerMatrix *	intmat_copy (const IntegerMatrix *m)
IntegerMatrix *	intmat_identity (int size)
void	intmat_free (IntegerMatrix *m)
void	intmat_size (const IntegerMatrix *m, unsigned int *rows, unsigned int *cols)
void	intmat_set (IntegerMatrix *m, unsigned int i, unsigned int j, signed int v)
signed int	intmat_get (const IntegerMatrix *m, unsigned int i, unsigned int j)
void	intmat_zero (IntegerMatrix *m)
IntegerMatrix *	intmat_create_3x3 (signed int m11, signed int m12, signed int m13, signed int m21, signed int m22, signed int m23, signed int m31, signed int m32, signed int m33)
signed int *	transform_indices (const IntegerMatrix *P, const signed int *hkl)
IntegerMatrix *	intmat_times_intmat (const IntegerMatrix *a, const IntegerMatrix *b)
IntegerMatrix *	intmat_inverse (const IntegerMatrix *m)
signed int	intmat_det (const IntegerMatrix *m)
int	intmat_is_identity (const IntegerMatrix *m)
int	intmat_is_inversion (const IntegerMatrix *m)
int	intmat_equals (const IntegerMatrix *a, const IntegerMatrix *b)
void	intmat_print (const IntegerMatrix *m)

Detailed Description

Matrix type containing only integers

Typedef Documentation

IntegerMatrix

typedef struct _integermatrix IntegerMatrix

The IntegerMatrix is an opaque data structure representing an integer matrix.

Function Documentation

intmat_copy()

IntegerMatrix * intmat_copy ( const IntegerMatrix * m )

extern

Parameters

m	An IntegerMatrix

Returns

A newly allocated copy of m, or NULL on error

intmat_create_3x3()

IntegerMatrix * intmat_create_3x3 ( signed int m11, signed int m12, signed int m13, signed int m21, signed int m22, signed int m23, signed int m31, signed int m32, signed int m33 )

extern

Parameters

m11	Matrix element
m12	Matrix element
m13	Matrix element
m21	Matrix element
m22	Matrix element
m23	Matrix element
m31	Matrix element
m32	Matrix element
m33	Matrix element

Returns

A newly allocated 3x3 IntegerMatrix with the given values.

intmat_det()

signed int intmat_det ( const IntegerMatrix * m )

extern

Parameters

m	An IntegerMatrix

Calculates the determinant of m. Inefficiently.

Returns

The determinant of m.

intmat_equals()

int intmat_equals ( const IntegerMatrix * a, const IntegerMatrix * b )

extern

Parameters

a	An IntegerMatrix
b	An IntegerMatrix

Returns

True if a = b.

intmat_free()

void intmat_free ( IntegerMatrix * m )

extern

Parameters

m	An IntegerMatrix

Frees m, unless m is NULL in which case nothing is done.

intmat_get()

signed int intmat_get ( const IntegerMatrix * m, unsigned int i, unsigned int j )

extern

Parameters

m	An IntegerMatrix
i	column number to set
j	row number to set

Gets the i,j element of m.

Returns

The i,j element of m.

intmat_identity()

IntegerMatrix * intmat_identity ( int size )

extern

Parameters

size	The size of the (square) matrix

Returns

An identity IntegerMatrix with side length size, or NULL on error.

intmat_inverse()

IntegerMatrix * intmat_inverse ( const IntegerMatrix * m )

extern

Parameters

m	An IntegerMatrix

Calculates the inverse of m. Inefficiently.

Works only if the inverse of the matrix is also an integer matrix, i.e. if the determinant of m is +/- 1.

Returns

The inverse of m, or NULL on error.

intmat_is_identity()

int intmat_is_identity ( const IntegerMatrix * m )

extern

Parameters

m	An IntegerMatrix

Returns

True if m is an identity matrix.

intmat_is_inversion()

int intmat_is_inversion ( const IntegerMatrix * m )

extern

Parameters

m	An IntegerMatrix

Returns

True if m = -I, where I is an identity matrix.

intmat_new()

IntegerMatrix * intmat_new ( unsigned int rows, unsigned int cols )

extern

Parameters

rows	Number of rows that the new matrix is to have
cols	Number of columns that the new matrix is to have

Allocates a new IntegerMatrix with all elements set to zero.

Returns

A new IntegerMatrix, or NULL on error.

intmat_print()

void intmat_print ( const IntegerMatrix * m )

extern

Parameters

m	An IntegerMatrix

Prints

Parameters

m	to stderr.

intmat_set()

void intmat_set ( IntegerMatrix * m, unsigned int i, unsigned int j, signed int v )

extern

Parameters

m	An IntegerMatrix
i	row number to set
j	column number to set
v	value to set to

Sets the i,j element of m to v.

intmat_size()

void intmat_size ( const IntegerMatrix * m, unsigned int * rows, unsigned int * cols )

extern

Parameters

m	An IntegerMatrix
rows	Location to store number of rows
cols	Location to store number of columns

Sets rows and cols to the size of m.

intmat_times_intmat()

IntegerMatrix * intmat_times_intmat ( const IntegerMatrix * a, const IntegerMatrix * b )

extern

Parameters

a	An IntegerMatrix
b	An IntegerMatrix

Multiplies the matrix a by the matrix b.

Returns

A newly allocated IntegerMatrix containing the answer, or NULL on error.

transform_indices()

signed int * transform_indices ( const IntegerMatrix * P, const signed int * hkl )

extern

Parameters

P	An IntegerMatrix
hkl	An array of signed integers

Apply transformation matrix P to a set of reciprocal space Miller indices.

In other words: Multiplies the matrix P by the row vector hkl. The size of vec must equal the number of columns in P, and the size of the result equals the number of rows in P.

The multiplication looks like this: (a1, a2, a3) = (hkl1, hkl2, hkl3) P Therefore matching the notation in ITA chapter 5.1.

Returns

A newly allocated array of signed integers containing the answer, or NULL on error.