matrix_3x3.h File Reference

#include <boolean.h>
#include <math.h>
#include <string.h>
#include <retro_common_api.h>
#include <retro_inline.h>

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Classes
struct	math_matrix_3x3

Macros
#define	MAT_ELEM_3X3(mat, r, c)   ((mat).data[3 * (r) + (c)])
#define	matrix_3x3_init(mat, n11, n12, n13, n21, n22, n23, n31, n32, n33)
#define	matrix_3x3_identity(mat)
#define	matrix_3x3_divide_scalar(mat, s)
#define	matrix_3x3_transpose(mat, in)
#define	matrix_3x3_multiply(out, a, b)
#define	matrix_3x3_determinant(mat)   (MAT_ELEM_3X3(mat, 0, 0) * (MAT_ELEM_3X3(mat, 1, 1) * MAT_ELEM_3X3(mat, 2, 2) - MAT_ELEM_3X3(mat, 1, 2) * MAT_ELEM_3X3(mat, 2, 1)) - MAT_ELEM_3X3(mat, 0, 1) * (MAT_ELEM_3X3(mat, 1, 0) * MAT_ELEM_3X3(mat, 2, 2) - MAT_ELEM_3X3(mat, 1, 2) * MAT_ELEM_3X3(mat, 2, 0)) + MAT_ELEM_3X3(mat, 0, 2) * (MAT_ELEM_3X3(mat, 1, 0) * MAT_ELEM_3X3(mat, 2, 1) - MAT_ELEM_3X3(mat, 1, 1) * MAT_ELEM_3X3(mat, 2, 0)))
#define	matrix_3x3_adjoint(mat)
#define	FLOATS_ARE_EQUAL(x, y)   (fabs(x - y) <= 0.00001f * ((x) > (y) ? (y) : (x)))
#define	FLOAT_IS_ZERO(x)   (FLOATS_ARE_EQUAL((x) + 1, 1))

Typedefs
typedef RETRO_BEGIN_DECLS struct math_matrix_3x3	math_matrix_3x3

Functions
static INLINE bool	matrix_3x3_invert (math_matrix_3x3 *mat)
static INLINE bool	matrix_3x3_square_to_quad (const float dx0, const float dy0, const float dx1, const float dy1, const float dx3, const float dy3, const float dx2, const float dy2, math_matrix_3x3 *mat)
static INLINE bool	matrix_3x3_quad_to_square (const float sx0, const float sy0, const float sx1, const float sy1, const float sx2, const float sy2, const float sx3, const float sy3, math_matrix_3x3 *mat)
static INLINE bool	matrix_3x3_quad_to_quad (const float dx0, const float dy0, const float dx1, const float dy1, const float dx2, const float dy2, const float dx3, const float dy3, const float sx0, const float sy0, const float sx1, const float sy1, const float sx2, const float sy2, const float sx3, const float sy3, math_matrix_3x3 *mat)

Macro Definition Documentation

FLOAT_IS_ZERO

#define FLOAT_IS_ZERO

(

x

)

(FLOATS_ARE_EQUAL((x) + 1, 1))

FLOATS_ARE_EQUAL

#define FLOATS_ARE_EQUAL	(		x,
			y
	)		(fabs(x - y) <= 0.00001f * ((x) > (y) ? (y) : (x)))

MAT_ELEM_3X3

#define MAT_ELEM_3X3	(		mat,
			r,
			c
	)		((mat).data[3 * (r) + (c)])

matrix_3x3_adjoint

#define matrix_3x3_adjoint

(

mat

)

Value:

MAT_ELEM_3X3(mat, 0, 0) = (MAT_ELEM_3X3(mat, 1, 1) * MAT_ELEM_3X3(mat, 2, 2) - MAT_ELEM_3X3(mat, 1, 2) * MAT_ELEM_3X3(mat, 2, 1)); \
 MAT_ELEM_3X3(mat, 0, 1) = -(MAT_ELEM_3X3(mat, 0, 1) * MAT_ELEM_3X3(mat, 2, 2) - MAT_ELEM_3X3(mat, 0, 2) * MAT_ELEM_3X3(mat, 2, 1)); \
 MAT_ELEM_3X3(mat, 0, 2) = (MAT_ELEM_3X3(mat, 0, 1) * MAT_ELEM_3X3(mat, 1, 1) - MAT_ELEM_3X3(mat, 0, 2) * MAT_ELEM_3X3(mat, 1, 1)); \
 MAT_ELEM_3X3(mat, 1, 0) = -(MAT_ELEM_3X3(mat, 1, 0) * MAT_ELEM_3X3(mat, 2, 2) - MAT_ELEM_3X3(mat, 1, 2) * MAT_ELEM_3X3(mat, 2, 0)); \
 MAT_ELEM_3X3(mat, 1, 1) = (MAT_ELEM_3X3(mat, 0, 0) * MAT_ELEM_3X3(mat, 2, 2) - MAT_ELEM_3X3(mat, 0, 2) * MAT_ELEM_3X3(mat, 2, 0)); \
 MAT_ELEM_3X3(mat, 1, 2) = -(MAT_ELEM_3X3(mat, 0, 0) * MAT_ELEM_3X3(mat, 1, 2) - MAT_ELEM_3X3(mat, 0, 2) * MAT_ELEM_3X3(mat, 1, 0)); \
 MAT_ELEM_3X3(mat, 2, 0) = (MAT_ELEM_3X3(mat, 1, 0) * MAT_ELEM_3X3(mat, 2, 1) - MAT_ELEM_3X3(mat, 1, 1) * MAT_ELEM_3X3(mat, 2, 0)); \
 MAT_ELEM_3X3(mat, 2, 1) = -(MAT_ELEM_3X3(mat, 0, 0) * MAT_ELEM_3X3(mat, 2, 1) - MAT_ELEM_3X3(mat, 0, 1) * MAT_ELEM_3X3(mat, 2, 0)); \
 MAT_ELEM_3X3(mat, 2, 2) = (MAT_ELEM_3X3(mat, 0, 0) * MAT_ELEM_3X3(mat, 1, 1) - MAT_ELEM_3X3(mat, 0, 1) * MAT_ELEM_3X3(mat, 1, 0))

matrix_3x3_determinant

#define matrix_3x3_determinant

(

mat

)

(MAT_ELEM_3X3(mat, 0, 0) * (MAT_ELEM_3X3(mat, 1, 1) * MAT_ELEM_3X3(mat, 2, 2) - MAT_ELEM_3X3(mat, 1, 2) * MAT_ELEM_3X3(mat, 2, 1)) - MAT_ELEM_3X3(mat, 0, 1) * (MAT_ELEM_3X3(mat, 1, 0) * MAT_ELEM_3X3(mat, 2, 2) - MAT_ELEM_3X3(mat, 1, 2) * MAT_ELEM_3X3(mat, 2, 0)) + MAT_ELEM_3X3(mat, 0, 2) * (MAT_ELEM_3X3(mat, 1, 0) * MAT_ELEM_3X3(mat, 2, 1) - MAT_ELEM_3X3(mat, 1, 1) * MAT_ELEM_3X3(mat, 2, 0)))

matrix_3x3_divide_scalar

#define matrix_3x3_divide_scalar	(		mat,
			s
	)

Value:

MAT_ELEM_3X3(mat, 0, 0) /= s; \
 MAT_ELEM_3X3(mat, 0, 1) /= s; \
 MAT_ELEM_3X3(mat, 0, 2) /= s; \
 MAT_ELEM_3X3(mat, 1, 0) /= s; \
 MAT_ELEM_3X3(mat, 1, 1) /= s; \
 MAT_ELEM_3X3(mat, 1, 2) /= s; \
 MAT_ELEM_3X3(mat, 2, 0) /= s; \
 MAT_ELEM_3X3(mat, 2, 1) /= s; \
 MAT_ELEM_3X3(mat, 2, 2) /= s

matrix_3x3_identity

#define matrix_3x3_identity

(

mat

)

Value:

MAT_ELEM_3X3(mat, 0, 0) = 1.0f; \
 MAT_ELEM_3X3(mat, 0, 1) = 0; \
 MAT_ELEM_3X3(mat, 0, 2) = 0; \
 MAT_ELEM_3X3(mat, 1, 0) = 0; \
 MAT_ELEM_3X3(mat, 1, 1) = 1.0f; \
 MAT_ELEM_3X3(mat, 1, 2) = 0; \
 MAT_ELEM_3X3(mat, 2, 0) = 0; \
 MAT_ELEM_3X3(mat, 2, 1) = 0; \
 MAT_ELEM_3X3(mat, 2, 2) = 1.0f

matrix_3x3_init

#define matrix_3x3_init	(		mat,
			n11,
			n12,
			n13,
			n21,
			n22,
			n23,
			n31,
			n32,
			n33
	)

Value:

MAT_ELEM_3X3(mat, 0, 0) = n11; \
 MAT_ELEM_3X3(mat, 0, 1) = n12; \
 MAT_ELEM_3X3(mat, 0, 2) = n13; \
 MAT_ELEM_3X3(mat, 1, 0) = n21; \
 MAT_ELEM_3X3(mat, 1, 1) = n22; \
 MAT_ELEM_3X3(mat, 1, 2) = n23; \
 MAT_ELEM_3X3(mat, 2, 0) = n31; \
 MAT_ELEM_3X3(mat, 2, 1) = n32; \
 MAT_ELEM_3X3(mat, 2, 2) = n33

matrix_3x3_multiply

#define matrix_3x3_multiply	(		out,
			a,
			b
	)

matrix_3x3_transpose

#define matrix_3x3_transpose	(		mat,
			in
	)

Value:

MAT_ELEM_3X3(mat, 0, 0) = MAT_ELEM_3X3(in, 0, 0); \
 MAT_ELEM_3X3(mat, 1, 0) = MAT_ELEM_3X3(in, 0, 1); \
 MAT_ELEM_3X3(mat, 2, 0) = MAT_ELEM_3X3(in, 0, 2); \
 MAT_ELEM_3X3(mat, 0, 1) = MAT_ELEM_3X3(in, 1, 0); \
 MAT_ELEM_3X3(mat, 1, 1) = MAT_ELEM_3X3(in, 1, 1); \
 MAT_ELEM_3X3(mat, 2, 1) = MAT_ELEM_3X3(in, 1, 2); \
 MAT_ELEM_3X3(mat, 0, 2) = MAT_ELEM_3X3(in, 2, 0); \
 MAT_ELEM_3X3(mat, 1, 2) = MAT_ELEM_3X3(in, 2, 1); \
 MAT_ELEM_3X3(mat, 2, 2) = MAT_ELEM_3X3(in, 2, 2)

Typedef Documentation

math_matrix_3x3

typedef RETRO_BEGIN_DECLS struct math_matrix_3x3 math_matrix_3x3

Function Documentation

matrix_3x3_invert()

static INLINE bool matrix_3x3_invert ( math_matrix_3x3 *  mat )

static

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matrix_3x3_quad_to_quad()

static INLINE bool matrix_3x3_quad_to_quad ( const float  dx0, const float  dy0, const float  dx1, const float  dy1, const float  dx2, const float  dy2, const float  dx3, const float  dy3, const float  sx0, const float  sy0, const float  sx1, const float  sy1, const float  sx2, const float  sy2, const float  sx3, const float  sy3, math_matrix_3x3 *  mat  )

static

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matrix_3x3_quad_to_square()

static INLINE bool matrix_3x3_quad_to_square ( const float  sx0, const float  sy0, const float  sx1, const float  sy1, const float  sx2, const float  sy2, const float  sx3, const float  sy3, math_matrix_3x3 *  mat  )

static

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matrix_3x3_square_to_quad()

static INLINE bool matrix_3x3_square_to_quad ( const float  dx0, const float  dy0, const float  dx1, const float  dy1, const float  dx3, const float  dy3, const float  dx2, const float  dy2, math_matrix_3x3 *  mat  )

static

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