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vmap/libs/mathlib.h
Marco Hladik 600a90924e Initial commit
2020-11-17 12:16:16 +01:00

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/*
Copyright (C) 1999-2006 Id Software, Inc. and contributors.
For a list of contributors, see the accompanying CONTRIBUTORS file.
This file is part of GtkRadiant.
GtkRadiant is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
GtkRadiant is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with GtkRadiant; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
#ifndef __MATHLIB__
#define __MATHLIB__
// mathlib.h
#include <math.h>
#include <float.h>
#ifdef __cplusplus
// start declarations of functions defined in C library.
extern "C"
{
#endif
#include "bytebool.h"
typedef float vec_t;
typedef vec_t vec3_t[3];
typedef vec_t vec5_t[5];
typedef vec_t vec4_t[4];
// Smallest positive value for vec_t such that 1.0 + VEC_SMALLEST_EPSILON_AROUND_ONE != 1.0.
// In the case of 32 bit floats (which is almost certainly the case), it's 0.00000011921.
// Don't forget that your epsilons should depend on the possible range of values,
// because for example adding VEC_SMALLEST_EPSILON_AROUND_ONE to 1024.0 will have no effect.
#define VEC_SMALLEST_EPSILON_AROUND_ONE FLT_EPSILON
#define SIDE_FRONT 0
#define SIDE_ON 2
#define SIDE_BACK 1
#define SIDE_CROSS -2
// plane types are used to speed some tests
// 0-2 are axial planes
#define PLANE_X 0
#define PLANE_Y 1
#define PLANE_Z 2
#define PLANE_NON_AXIAL 3
#define Q_PI 3.14159265358979323846f
extern const vec3_t vec3_origin;
extern const vec3_t g_vec3_axis_x;
extern const vec3_t g_vec3_axis_y;
extern const vec3_t g_vec3_axis_z;
#define EQUAL_EPSILON 0.001
#define DotProduct( x,y ) ( ( x )[0] * ( y )[0] + ( x )[1] * ( y )[1] + ( x )[2] * ( y )[2] )
#define VectorSubtract( a,b,c ) ( ( c )[0] = ( a )[0] - ( b )[0],( c )[1] = ( a )[1] - ( b )[1],( c )[2] = ( a )[2] - ( b )[2] )
#define VectorAdd( a,b,c ) ( ( c )[0] = ( a )[0] + ( b )[0],( c )[1] = ( a )[1] + ( b )[1],( c )[2] = ( a )[2] + ( b )[2] )
#define VectorIncrement( a,b ) ( ( b )[0] += ( a )[0],( b )[1] += ( a )[1],( b )[2] += ( a )[2] )
#define VectorCopy( a,b ) ( ( b )[0] = ( a )[0],( b )[1] = ( a )[1],( b )[2] = ( a )[2] )
#define VectorSet( v, a, b, c ) ( ( v )[0] = ( a ),( v )[1] = ( b ),( v )[2] = ( c ) )
#define VectorScale( a,b,c ) ( ( c )[0] = ( b ) * ( a )[0],( c )[1] = ( b ) * ( a )[1],( c )[2] = ( b ) * ( a )[2] )
#define VectorMid( a,b,c ) ( ( c )[0] = ( ( a )[0] + ( b )[0] ) * 0.5f,( c )[1] = ( ( a )[1] + ( b )[1] ) * 0.5f,( c )[2] = ( ( a )[2] + ( b )[2] ) * 0.5f )
#define VectorNegate( a,b ) ( ( b )[0] = -( a )[0],( b )[1] = -( a )[1],( b )[2] = -( a )[2] )
#define CrossProduct( a,b,c ) ( ( c )[0] = ( a )[1] * ( b )[2] - ( a )[2] * ( b )[1],( c )[1] = ( a )[2] * ( b )[0] - ( a )[0] * ( b )[2],( c )[2] = ( a )[0] * ( b )[1] - ( a )[1] * ( b )[0] )
#define VectorClear( x ) ( ( x )[0] = ( x )[1] = ( x )[2] = 0 )
#define FLOAT_SNAP( f,snap ) ( (float)( floor( ( f ) / ( snap ) + 0.5 ) * ( snap ) ) )
#define FLOAT_TO_INTEGER( f ) ( (float)( floor( ( f ) + 0.5 ) ) )
#define RGBTOGRAY( x ) ( (float)( ( x )[0] ) * 0.2989f + (float)( ( x )[1] ) * 0.5870f + (float)( ( x )[2] ) * 0.1140f )
#define Q_rint( in ) ( (vec_t)floor( in + 0.5 ) )
qboolean VectorCompare( const vec3_t v1, const vec3_t v2 );
qboolean VectorIsOnAxis( vec3_t v );
qboolean VectorIsOnAxialPlane( vec3_t v );
vec_t VectorLength( const vec3_t v );
void VectorMA( const vec3_t va, vec_t scale, const vec3_t vb, vec3_t vc );
void _CrossProduct( vec3_t v1, vec3_t v2, vec3_t cross );
// I need this define in order to test some of the regression tests from time to time.
// This define affect the precision of VectorNormalize() function only.
#define MATHLIB_VECTOR_NORMALIZE_PRECISION_FIX 1
vec_t VectorNormalize( const vec3_t in, vec3_t out );
vec_t ColorNormalize( const vec3_t in, vec3_t out );
void VectorInverse( vec3_t v );
void VectorPolar( vec3_t v, float radius, float theta, float phi );
// default snapping, to 1
void VectorSnap( vec3_t v );
// integer snapping
void VectorISnap( vec3_t point, int snap );
// Gef: added snap to float for sub-integer grid sizes
// TTimo: we still use the int version of VectorSnap when possible
// to avoid potential rounding issues
// TTimo: renaming to VectorFSnap for C implementation
void VectorFSnap( vec3_t point, float snap );
// NOTE: added these from Ritual's Q3Radiant
void ClearBounds( vec3_t mins, vec3_t maxs );
void AddPointToBounds( vec3_t v, vec3_t mins, vec3_t maxs );
#define PITCH 0 // up / down
#define YAW 1 // left / right
#define ROLL 2 // fall over
void AngleVectors( vec3_t angles, vec3_t forward, vec3_t right, vec3_t up );
void VectorToAngles( vec3_t vec, vec3_t angles );
#define ZERO_EPSILON 1.0E-6
#define RAD2DEGMULT 57.29577951308232f
#define DEG2RADMULT 0.01745329251994329f
#define RAD2DEG( a ) ( ( a ) * RAD2DEGMULT )
#define DEG2RAD( a ) ( ( a ) * DEG2RADMULT )
void VectorRotate( vec3_t vIn, vec3_t vRotation, vec3_t out );
void VectorRotateOrigin( vec3_t vIn, vec3_t vRotation, vec3_t vOrigin, vec3_t out );
// some function merged from tools mathlib code
qboolean PlaneFromPoints( vec4_t plane, const vec3_t a, const vec3_t b, const vec3_t c );
void NormalToLatLong( const vec3_t normal, byte bytes[2] );
int PlaneTypeForNormal( vec3_t normal );
void RotatePointAroundVector( vec3_t dst, const vec3_t dir, const vec3_t point, float degrees );
/*!
\todo
FIXME test calls such as intersect tests should be named test_
*/
typedef vec_t m3x3_t[9];
/*!NOTE
m4x4 looks like this..
x y z
x axis ( 0 1 2)
y axis ( 4 5 6)
z axis ( 8 9 10)
translation (12 13 14)
scale ( 0 5 10)
*/
typedef vec_t m4x4_t[16];
#define M4X4_INDEX( m,row,col ) ( m[( col << 2 ) + row] )
typedef enum { eXYZ, eYZX, eZXY, eXZY, eYXZ, eZYX } eulerOrder_t;
#define CLIP_PASS 0x00 // 000000
#define CLIP_LT_X 0x01 // 000001
#define CLIP_GT_X 0x02 // 000010
#define CLIP_LT_Y 0x04 // 000100
#define CLIP_GT_Y 0x08 // 001000
#define CLIP_LT_Z 0x10 // 010000
#define CLIP_GT_Z 0x20 // 100000
#define CLIP_FAIL 0x3F // 111111
typedef unsigned char clipmask_t;
extern const m4x4_t g_m4x4_identity;
#define M4X4_COPY( dst,src ) ( \
( dst )[0] = ( src )[0], \
( dst )[1] = ( src )[1], \
( dst )[2] = ( src )[2], \
( dst )[3] = ( src )[3], \
( dst )[4] = ( src )[4], \
( dst )[5] = ( src )[5], \
( dst )[6] = ( src )[6], \
( dst )[7] = ( src )[7], \
( dst )[8] = ( src )[8], \
( dst )[9] = ( src )[9], \
( dst )[10] = ( src )[10], \
( dst )[11] = ( src )[11], \
( dst )[12] = ( src )[12], \
( dst )[13] = ( src )[13], \
( dst )[14] = ( src )[14], \
( dst )[15] = ( src )[15] )
typedef enum
{
eRightHanded = 0,
eLeftHanded = 1,
}
m4x4Handedness_t;
m4x4Handedness_t m4x4_handedness( const m4x4_t matrix );
/*! assign other m4x4 to this m4x4 */
void m4x4_assign( m4x4_t matrix, const m4x4_t other );
// constructors
/*! create m4x4 as identity matrix */
void m4x4_identity( m4x4_t matrix );
/*! create m4x4 as a translation matrix, for a translation vec3 */
void m4x4_translation_for_vec3( m4x4_t matrix, const vec3_t translation );
/*! create m4x4 as a rotation matrix, for an euler angles (degrees) vec3 */
void m4x4_rotation_for_vec3( m4x4_t matrix, const vec3_t euler, eulerOrder_t order );
/*! create m4x4 as a scaling matrix, for a scale vec3 */
void m4x4_scale_for_vec3( m4x4_t matrix, const vec3_t scale );
/*! create m4x4 as a rotation matrix, for a quaternion vec4 */
void m4x4_rotation_for_quat( m4x4_t matrix, const vec4_t rotation );
/*! create m4x4 as a rotation matrix, for an axis vec3 and an angle (radians) */
void m4x4_rotation_for_axisangle( m4x4_t matrix, const vec3_t axis, double angle );
/*! generate a perspective matrix by specifying the view frustum */
void m4x4_frustum( m4x4_t matrix, vec_t left, vec_t right, vec_t bottom, vec_t top, vec_t nearval, vec_t farval );
// a valid m4x4 to access is always first argument
/*! extract translation vec3 from matrix */
void m4x4_get_translation_vec3( const m4x4_t matrix, vec3_t translation );
/*! extract euler rotation angles from a rotation-only matrix */
void m4x4_get_rotation_vec3( const m4x4_t matrix, vec3_t euler, eulerOrder_t order );
/*! extract scale vec3 from matrix */
void m4x4_get_scale_vec3( const m4x4_t matrix, vec3_t scale );
/*! extract translation/euler/scale from an orthogonal matrix. NOTE: requires right-handed axis-base */
void m4x4_get_transform_vec3( const m4x4_t matrix, vec3_t translation, vec3_t euler, eulerOrder_t order, vec3_t scale );
// a valid m4x4 to be modified is always first argument
/*! translate m4x4 by a translation vec3 */
void m4x4_translate_by_vec3( m4x4_t matrix, const vec3_t translation );
/*! rotate m4x4 by a euler (degrees) vec3 */
void m4x4_rotate_by_vec3( m4x4_t matrix, const vec3_t euler, eulerOrder_t order );
/*! scale m4x4 by a scaling vec3 */
void m4x4_scale_by_vec3( m4x4_t matrix, const vec3_t scale );
/*! rotate m4x4 by a quaternion vec4 */
void m4x4_rotate_by_quat( m4x4_t matrix, const vec4_t rotation );
/*! rotate m4x4 by an axis vec3 and an angle (radians) */
void m4x4_rotate_by_axisangle( m4x4_t matrix, const vec3_t axis, double angle );
/*! transform m4x4 by translation/eulerZYX/scaling vec3 (transform = scale * eulerZ * eulerY * eulerX * translation) */
void m4x4_transform_by_vec3( m4x4_t matrix, const vec3_t translation, const vec3_t euler, eulerOrder_t order, const vec3_t scale );
/*! rotate m4x4 around a pivot point by eulerZYX vec3 */
void m4x4_pivoted_rotate_by_vec3( m4x4_t matrix, const vec3_t euler, eulerOrder_t order, const vec3_t pivotpoint );
/*! scale m4x4 around a pivot point by scaling vec3 */
void m4x4_pivoted_scale_by_vec3( m4x4_t matrix, const vec3_t scale, const vec3_t pivotpoint );
/*! transform m4x4 around a pivot point by translation/eulerZYX/scaling vec3 */
void m4x4_pivoted_transform_by_vec3( m4x4_t matrix, const vec3_t translation, const vec3_t euler, eulerOrder_t order, const vec3_t scale, const vec3_t pivotpoint );
/*! transform m4x4 around a pivot point by translation/rotation/scaling vec3 */
void m4x4_pivoted_transform_by_rotation( m4x4_t matrix, const vec3_t translation, const m4x4_t rotation, const vec3_t scale, const vec3_t pivotpoint );
/*! rotate m4x4 around a pivot point by quaternion vec4 */
void m4x4_pivoted_rotate_by_quat( m4x4_t matrix, const vec4_t quat, const vec3_t pivotpoint );
/*! rotate m4x4 around a pivot point by axis vec3 and angle (radians) */
void m4x4_pivoted_rotate_by_axisangle( m4x4_t matrix, const vec3_t axis, double angle, const vec3_t pivotpoint );
/*! postmultiply m4x4 by another m4x4 */
void m4x4_multiply_by_m4x4( m4x4_t matrix, const m4x4_t matrix_src );
/*! premultiply m4x4 by another m4x4 */
void m4x4_premultiply_by_m4x4( m4x4_t matrix, const m4x4_t matrix_src );
/*! postmultiply orthogonal m4x4 by another orthogonal m4x4 */
void m4x4_orthogonal_multiply_by_m4x4( m4x4_t matrix, const m4x4_t matrix_src );
/*! premultiply orthogonal m4x4 by another orthogonal m4x4 */
void m4x4_orthogonal_premultiply_by_m4x4( m4x4_t matrix, const m4x4_t matrix_src );
/*! multiply a point (x,y,z,1) by matrix */
void m4x4_transform_point( const m4x4_t matrix, vec3_t point );
/*! multiply a normal (x,y,z,0) by matrix */
void m4x4_transform_normal( const m4x4_t matrix, vec3_t normal );
/*! multiply a vec4 (x,y,z,w) by matrix */
void m4x4_transform_vec4( const m4x4_t matrix, vec4_t vector );
/*! multiply a point (x,y,z,1) by matrix */
void m4x4_transform_point( const m4x4_t matrix, vec3_t point );
/*! multiply a normal (x,y,z,0) by matrix */
void m4x4_transform_normal( const m4x4_t matrix, vec3_t normal );
/*! transpose a m4x4 */
void m4x4_transpose( m4x4_t matrix );
/*! invert an orthogonal 4x3 subset of a 4x4 matrix */
int m4x4_orthogonal_invert( m4x4_t matrix );
/*! m4_det */
float m4_det( m4x4_t mr );
/*! invert any m4x4 using Kramer's rule.. return 1 if matrix is singular, else return 0 */
int m4x4_invert( m4x4_t matrix );
/*! clip a point (x,y,z,1) by canonical matrix */
clipmask_t m4x4_clip_point( const m4x4_t matrix, const vec3_t point, vec4_t clipped );
/*! device-space polygon for clipped triangle */
unsigned int m4x4_clip_triangle( const m4x4_t matrix, const vec3_t p0, const vec3_t p1, const vec3_t p2, vec4_t clipped[9] );
/*! device-space line for clipped line */
unsigned int m4x4_clip_line( const m4x4_t matrix, const vec3_t p0, const vec3_t p1, vec4_t clipped[2] );
//! quaternion identity
void quat_identity( vec4_t quat );
//! quaternion from two unit vectors
void quat_for_unit_vectors( vec4_t quat, const vec3_t from, const vec3_t to );
//! quaternion from axis and angle (radians)
void quat_for_axisangle( vec4_t quat, const vec3_t axis, double angle );
//! concatenates two rotations.. equivalent to m4x4_multiply_by_m4x4 .. postmultiply.. the right-hand side is the first rotation performed
void quat_multiply_by_quat( vec4_t quat, const vec4_t other );
//! negate a quaternion
void quat_conjugate( vec4_t quat );
//! normalise a quaternion
void quat_normalise( vec4_t quat );
/*!
\todo object/ray intersection functions should maybe return a point rather than a distance?
*/
/*!
aabb_t - "axis-aligned" bounding box...
origin: centre of bounding box...
extents: +/- extents of box from origin...
*/
typedef struct aabb_s
{
vec3_t origin;
vec3_t extents;
} aabb_t;
extern const aabb_t g_aabb_null;
/*!
bbox_t - oriented bounding box...
aabb: axis-aligned bounding box...
axes: orientation axes...
*/
typedef struct bbox_s
{
aabb_t aabb;
vec3_t axes[3];
vec_t radius;
} bbox_t;
/*!
ray_t - origin point and direction unit-vector
*/
typedef struct ray_s
{
vec3_t origin;
vec3_t direction;
} ray_t;
/*!
line_t - centre point and displacement of end point from centre
*/
typedef struct line_s
{
vec3_t origin;
vec3_t extents;
} line_t;
/*! Generate line from start/end points. */
void line_construct_for_vec3( line_t* line, const vec3_t start, const vec3_t end );
/*! Return 2 if line is behind plane, else return 1 if line intersects plane, else return 0. */
int line_test_plane( const line_t* line, const vec4_t plane );
/*! Generate AABB from min/max. */
void aabb_construct_for_vec3( aabb_t* aabb, const vec3_t min, const vec3_t max );
/*! Initialise AABB to negative size. */
void aabb_clear( aabb_t* aabb );
/*! Extend AABB to include point. */
void aabb_extend_by_point( aabb_t* aabb, const vec3_t point );
/*! Extend AABB to include aabb_src. */
void aabb_extend_by_aabb( aabb_t* aabb, const aabb_t* aabb_src );
/*! Extend AABB by +/- extension vector. */
void aabb_extend_by_vec3( aabb_t* aabb, vec3_t extension );
/*! Return 2 if point is inside, else 1 if point is on surface, else 0. */
int aabb_test_point( const aabb_t* aabb, const vec3_t point );
/*! Return 2 if aabb_src intersects, else 1 if aabb_src touches exactly, else 0. */
int aabb_test_aabb( const aabb_t* aabb, const aabb_t* aabb_src );
/*! Return 2 if aabb is behind plane, else 1 if aabb intersects plane, else 0. */
int aabb_test_plane( const aabb_t* aabb, const float* plane );
/*! Return 1 if aabb intersects ray, else 0... dist = closest intersection. */
int aabb_intersect_ray( const aabb_t* aabb, const ray_t* ray, vec3_t intersection );
/*! Return 1 if aabb intersects ray, else 0. Faster, but does not provide point of intersection */
int aabb_test_ray( const aabb_t* aabb, const ray_t* ray );
/*! Return 2 if oriented aabb is behind plane, else 1 if aabb intersects plane, else 0. */
int aabb_oriented_intersect_plane( const aabb_t* aabb, const m4x4_t transform, const vec_t* plane );
/*! Calculate the corners of the aabb. */
void aabb_corners( const aabb_t * aabb, vec3_t corners[8] );
/*! (deprecated) Generate AABB from oriented bounding box. */
void aabb_for_bbox( aabb_t* aabb, const bbox_t* bbox );
/*! (deprecated) Generate AABB from 2-dimensions of min/max, specified by axis. */
void aabb_for_area( aabb_t* aabb, vec3_t area_tl, vec3_t area_br, int axis );
/*! Generate AABB to contain src* transform. NOTE: transform must be orthogonal */
void aabb_for_transformed_aabb( aabb_t* dst, const aabb_t* src, const m4x4_t transform );
/*! Update bounding-sphere radius. */
void bbox_update_radius( bbox_t* bbox );
/*! Generate oriented bounding box from AABB and transformation matrix. */
/*!\todo Remove need to specify eulerZYX/scale. */
void bbox_for_oriented_aabb( bbox_t* bbox, const aabb_t* aabb,
const m4x4_t matrix, const vec3_t eulerZYX, const vec3_t scale );
/*! Return 2 if bbox is behind plane, else return 1 if bbox intersects plane, else return 0. */
int bbox_intersect_plane( const bbox_t* bbox, const vec_t* plane );
/*! Generate a ray from an origin point and a direction unit-vector */
void ray_construct_for_vec3( ray_t* ray, const vec3_t origin, const vec3_t direction );
/*! Transform a ray */
void ray_transform( ray_t* ray, const m4x4_t matrix );
/*! distance from ray origin in ray direction to point. FLT_MAX if no intersection. */
vec_t ray_intersect_point( const ray_t* ray, const vec3_t point, vec_t epsilon, vec_t divergence );
/*! distance from ray origin in ray direction to triangle. FLT_MAX if no intersection. */
vec_t ray_intersect_triangle( const ray_t* ray, qboolean bCullBack, const vec3_t vert0, const vec3_t vert1, const vec3_t vert2 );
/*! distance from ray origin in ray direction to plane. */
vec_t ray_intersect_plane( const ray_t* ray, const vec3_t normal, vec_t dist );
int plane_intersect_planes( const vec4_t plane1, const vec4_t plane2, const vec4_t plane3, vec3_t intersection );
////////////////////////////////////////////////////////////////////////////////
// Below is double-precision math stuff. This was initially needed by the new
// "base winding" code in q3map2 brush processing in order to fix the famous
// "disappearing triangles" issue. These definitions can be used wherever extra
// precision is needed.
////////////////////////////////////////////////////////////////////////////////
typedef double vec_accu_t;
typedef vec_accu_t vec3_accu_t[3];
// Smallest positive value for vec_accu_t such that 1.0 + VEC_ACCU_SMALLEST_EPSILON_AROUND_ONE != 1.0.
// In the case of 64 bit doubles (which is almost certainly the case), it's 0.00000000000000022204.
// Don't forget that your epsilons should depend on the possible range of values,
// because for example adding VEC_ACCU_SMALLEST_EPSILON_AROUND_ONE to 1024.0 will have no effect.
#define VEC_ACCU_SMALLEST_EPSILON_AROUND_ONE DBL_EPSILON
vec_accu_t VectorLengthAccu( const vec3_accu_t v );
// I have a feeling it may be safer to break these #define functions out into actual functions
// in order to avoid accidental loss of precision. For example, say you call
// VectorScaleAccu(vec3_t, vec_t, vec3_accu_t). The scale would take place in 32 bit land
// and the result would be cast to 64 bit, which would cause total loss of precision when
// scaling by a large factor.
//#define DotProductAccu(x, y) ((x)[0] * (y)[0] + (x)[1] * (y)[1] + (x)[2] * (y)[2])
//#define VectorSubtractAccu(a, b, c) ((c)[0] = (a)[0] - (b)[0], (c)[1] = (a)[1] - (b)[1], (c)[2] = (a)[2] - (b)[2])
//#define VectorAddAccu(a, b, c) ((c)[0] = (a)[0] + (b)[0], (c)[1] = (a)[1] + (b)[1], (c)[2] = (a)[2] + (b)[2])
//#define VectorCopyAccu(a, b) ((b)[0] = (a)[0], (b)[1] = (a)[1], (b)[2] = (a)[2])
//#define VectorScaleAccu(a, b, c) ((c)[0] = (b) * (a)[0], (c)[1] = (b) * (a)[1], (c)[2] = (b) * (a)[2])
//#define CrossProductAccu(a, b, c) ((c)[0] = (a)[1] * (b)[2] - (a)[2] * (b)[1], (c)[1] = (a)[2] * (b)[0] - (a)[0] * (b)[2], (c)[2] = (a)[0] * (b)[1] - (a)[1] * (b)[0])
//#define Q_rintAccu(in) ((vec_accu_t) floor(in + 0.5))
vec_accu_t DotProductAccu( const vec3_accu_t a, const vec3_accu_t b );
void VectorSubtractAccu( const vec3_accu_t a, const vec3_accu_t b, vec3_accu_t out );
void VectorAddAccu( const vec3_accu_t a, const vec3_accu_t b, vec3_accu_t out );
void VectorCopyAccu( const vec3_accu_t in, vec3_accu_t out );
void VectorScaleAccu( const vec3_accu_t in, vec_accu_t scaleFactor, vec3_accu_t out );
void CrossProductAccu( const vec3_accu_t a, const vec3_accu_t b, vec3_accu_t out );
vec_accu_t Q_rintAccu( vec_accu_t val );
void VectorCopyAccuToRegular( const vec3_accu_t in, vec3_t out );
void VectorCopyRegularToAccu( const vec3_t in, vec3_accu_t out );
vec_accu_t VectorNormalizeAccu( const vec3_accu_t in, vec3_accu_t out );
#ifdef __cplusplus
}
#endif
#endif /* __MATHLIB__ */
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