code/qcommon/q_math.c

/*
===========================================================================

Return to Castle Wolfenstein multiplayer GPL Source Code
Copyright (C) 1999-2010 id Software LLC, a ZeniMax Media company.

This file is part of the Return to Castle Wolfenstein multiplayer GPL Source Code (“RTCW MP Source Code”).

RTCW MP Source Code 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 3 of the License, or
(at your option) any later version.

RTCW MP Source Code is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
RCHANTABILITY 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 Quake III Arena source code; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA
===========================================================================
*/
//
// q_math.c -- stateless support routines that are included in each code module

// Some of the vector functions are static inline in q_shared.h. q3asm
// doesn't understand static functions though, so we only want them in
// one file. That's what this is about.
#ifdef Q3_VM
#define __Q3_VM_MATH
#endif

#include "q_shared.h"

vec3_t	vec3_origin = {0,0,0};
vec3_t	axisDefault[3] = { { 1, 0, 0 }, { 0, 1, 0 }, { 0, 0, 1 } };


vec4_t		colorBlack	= {0, 0, 0, 1};
vec4_t		colorRed	= {1, 0, 0, 1};
vec4_t		colorGreen	= {0, 1, 0, 1};
vec4_t		colorBlue	= {0, 0, 1, 1};
vec4_t		colorYellow	= {1, 1, 0, 1};
vec4_t		colorMagenta= {1, 0, 1, 1};
vec4_t		colorCyan	= {0, 1, 1, 1};
vec4_t		colorWhite	= {1, 1, 1, 1};
vec4_t		colorLtGrey	= {0.75, 0.75, 0.75, 1};
vec4_t		colorMdGrey	= {0.5, 0.5, 0.5, 1};
vec4_t		colorDkGrey	= {0.25, 0.25, 0.25, 1};

vec4_t	g_color_table[8] =
	{
	{0.0, 0.0, 0.0, 1.0},
	{1.0, 0.0, 0.0, 1.0},
	{0.0, 1.0, 0.0, 1.0},
	{1.0, 1.0, 0.0, 1.0},
	{0.0, 0.0, 1.0, 1.0},
	{0.0, 1.0, 1.0, 1.0},
	{1.0, 0.0, 1.0, 1.0},
	{1.0, 1.0, 1.0, 1.0},
	};


vec3_t	bytedirs[NUMVERTEXNORMALS] =
{
{-0.525731f, 0.000000f, 0.850651f}, {-0.442863f, 0.238856f, 0.864188f},
{-0.295242f, 0.000000f, 0.955423f}, {-0.309017f, 0.500000f, 0.809017f},
{-0.162460f, 0.262866f, 0.951056f}, {0.000000f, 0.000000f, 1.000000f},
{0.000000f, 0.850651f, 0.525731f}, {-0.147621f, 0.716567f, 0.681718f},
{0.147621f, 0.716567f, 0.681718f}, {0.000000f, 0.525731f, 0.850651f},
{0.309017f, 0.500000f, 0.809017f}, {0.525731f, 0.000000f, 0.850651f},
{0.295242f, 0.000000f, 0.955423f}, {0.442863f, 0.238856f, 0.864188f},
{0.162460f, 0.262866f, 0.951056f}, {-0.681718f, 0.147621f, 0.716567f},
{-0.809017f, 0.309017f, 0.500000f},{-0.587785f, 0.425325f, 0.688191f},
{-0.850651f, 0.525731f, 0.000000f},{-0.864188f, 0.442863f, 0.238856f},
{-0.716567f, 0.681718f, 0.147621f},{-0.688191f, 0.587785f, 0.425325f},
{-0.500000f, 0.809017f, 0.309017f}, {-0.238856f, 0.864188f, 0.442863f},
{-0.425325f, 0.688191f, 0.587785f}, {-0.716567f, 0.681718f, -0.147621f},
{-0.500000f, 0.809017f, -0.309017f}, {-0.525731f, 0.850651f, 0.000000f},
{0.000000f, 0.850651f, -0.525731f}, {-0.238856f, 0.864188f, -0.442863f},
{0.000000f, 0.955423f, -0.295242f}, {-0.262866f, 0.951056f, -0.162460f},
{0.000000f, 1.000000f, 0.000000f}, {0.000000f, 0.955423f, 0.295242f},
{-0.262866f, 0.951056f, 0.162460f}, {0.238856f, 0.864188f, 0.442863f},
{0.262866f, 0.951056f, 0.162460f}, {0.500000f, 0.809017f, 0.309017f},
{0.238856f, 0.864188f, -0.442863f},{0.262866f, 0.951056f, -0.162460f},
{0.500000f, 0.809017f, -0.309017f},{0.850651f, 0.525731f, 0.000000f},
{0.716567f, 0.681718f, 0.147621f}, {0.716567f, 0.681718f, -0.147621f},
{0.525731f, 0.850651f, 0.000000f}, {0.425325f, 0.688191f, 0.587785f},
{0.864188f, 0.442863f, 0.238856f}, {0.688191f, 0.587785f, 0.425325f},
{0.809017f, 0.309017f, 0.500000f}, {0.681718f, 0.147621f, 0.716567f},
{0.587785f, 0.425325f, 0.688191f}, {0.955423f, 0.295242f, 0.000000f},
{1.000000f, 0.000000f, 0.000000f}, {0.951056f, 0.162460f, 0.262866f},
{0.850651f, -0.525731f, 0.000000f},{0.955423f, -0.295242f, 0.000000f},
{0.864188f, -0.442863f, 0.238856f}, {0.951056f, -0.162460f, 0.262866f},
{0.809017f, -0.309017f, 0.500000f}, {0.681718f, -0.147621f, 0.716567f},
{0.850651f, 0.000000f, 0.525731f}, {0.864188f, 0.442863f, -0.238856f},
{0.809017f, 0.309017f, -0.500000f}, {0.951056f, 0.162460f, -0.262866f},
{0.525731f, 0.000000f, -0.850651f}, {0.681718f, 0.147621f, -0.716567f},
{0.681718f, -0.147621f, -0.716567f},{0.850651f, 0.000000f, -0.525731f},
{0.809017f, -0.309017f, -0.500000f}, {0.864188f, -0.442863f, -0.238856f},
{0.951056f, -0.162460f, -0.262866f}, {0.147621f, 0.716567f, -0.681718f},
{0.309017f, 0.500000f, -0.809017f}, {0.425325f, 0.688191f, -0.587785f},
{0.442863f, 0.238856f, -0.864188f}, {0.587785f, 0.425325f, -0.688191f},
{0.688191f, 0.587785f, -0.425325f}, {-0.147621f, 0.716567f, -0.681718f},
{-0.309017f, 0.500000f, -0.809017f}, {0.000000f, 0.525731f, -0.850651f},
{-0.525731f, 0.000000f, -0.850651f}, {-0.442863f, 0.238856f, -0.864188f},
{-0.295242f, 0.000000f, -0.955423f}, {-0.162460f, 0.262866f, -0.951056f},
{0.000000f, 0.000000f, -1.000000f}, {0.295242f, 0.000000f, -0.955423f},
{0.162460f, 0.262866f, -0.951056f}, {-0.442863f, -0.238856f, -0.864188f},
{-0.309017f, -0.500000f, -0.809017f}, {-0.162460f, -0.262866f, -0.951056f},
{0.000000f, -0.850651f, -0.525731f}, {-0.147621f, -0.716567f, -0.681718f},
{0.147621f, -0.716567f, -0.681718f}, {0.000000f, -0.525731f, -0.850651f},
{0.309017f, -0.500000f, -0.809017f}, {0.442863f, -0.238856f, -0.864188f},
{0.162460f, -0.262866f, -0.951056f}, {0.238856f, -0.864188f, -0.442863f},
{0.500000f, -0.809017f, -0.309017f}, {0.425325f, -0.688191f, -0.587785f},
{0.716567f, -0.681718f, -0.147621f}, {0.688191f, -0.587785f, -0.425325f},
{0.587785f, -0.425325f, -0.688191f}, {0.000000f, -0.955423f, -0.295242f},
{0.000000f, -1.000000f, 0.000000f}, {0.262866f, -0.951056f, -0.162460f},
{0.000000f, -0.850651f, 0.525731f}, {0.000000f, -0.955423f, 0.295242f},
{0.238856f, -0.864188f, 0.442863f}, {0.262866f, -0.951056f, 0.162460f},
{0.500000f, -0.809017f, 0.309017f}, {0.716567f, -0.681718f, 0.147621f},
{0.525731f, -0.850651f, 0.000000f}, {-0.238856f, -0.864188f, -0.442863f},
{-0.500000f, -0.809017f, -0.309017f}, {-0.262866f, -0.951056f, -0.162460f},
{-0.850651f, -0.525731f, 0.000000f}, {-0.716567f, -0.681718f, -0.147621f},
{-0.716567f, -0.681718f, 0.147621f}, {-0.525731f, -0.850651f, 0.000000f},
{-0.500000f, -0.809017f, 0.309017f}, {-0.238856f, -0.864188f, 0.442863f},
{-0.262866f, -0.951056f, 0.162460f}, {-0.864188f, -0.442863f, 0.238856f},
{-0.809017f, -0.309017f, 0.500000f}, {-0.688191f, -0.587785f, 0.425325f},
{-0.681718f, -0.147621f, 0.716567f}, {-0.442863f, -0.238856f, 0.864188f},
{-0.587785f, -0.425325f, 0.688191f}, {-0.309017f, -0.500000f, 0.809017f},
{-0.147621f, -0.716567f, 0.681718f}, {-0.425325f, -0.688191f, 0.587785f},
{-0.162460f, -0.262866f, 0.951056f}, {0.442863f, -0.238856f, 0.864188f},
{0.162460f, -0.262866f, 0.951056f}, {0.309017f, -0.500000f, 0.809017f},
{0.147621f, -0.716567f, 0.681718f}, {0.000000f, -0.525731f, 0.850651f},
{0.425325f, -0.688191f, 0.587785f}, {0.587785f, -0.425325f, 0.688191f},
{0.688191f, -0.587785f, 0.425325f}, {-0.955423f, 0.295242f, 0.000000f},
{-0.951056f, 0.162460f, 0.262866f}, {-1.000000f, 0.000000f, 0.000000f},
{-0.850651f, 0.000000f, 0.525731f}, {-0.955423f, -0.295242f, 0.000000f},
{-0.951056f, -0.162460f, 0.262866f}, {-0.864188f, 0.442863f, -0.238856f},
{-0.951056f, 0.162460f, -0.262866f}, {-0.809017f, 0.309017f, -0.500000f},
{-0.864188f, -0.442863f, -0.238856f}, {-0.951056f, -0.162460f, -0.262866f},
{-0.809017f, -0.309017f, -0.500000f}, {-0.681718f, 0.147621f, -0.716567f},
{-0.681718f, -0.147621f, -0.716567f}, {-0.850651f, 0.000000f, -0.525731f},
{-0.688191f, 0.587785f, -0.425325f}, {-0.587785f, 0.425325f, -0.688191f},
{-0.425325f, 0.688191f, -0.587785f}, {-0.425325f, -0.688191f, -0.587785f},
{-0.587785f, -0.425325f, -0.688191f}, {-0.688191f, -0.587785f, -0.425325f}
};

//==============================================================

int	Q_rand( int *seed ) {
	*seed = ( 69069U * *seed + 1U );
	return *seed;
}

float	Q_random( int *seed ) {
	return ( Q_rand( seed ) & 0xffff ) / (float)0x10000;
}

float	Q_crandom( int *seed ) {
	return 2.0 * ( Q_random( seed ) - 0.5 );
}

//=======================================================

signed char ClampChar( int i ) {
	if ( i < -128 ) {
		return -128;
	}
	if ( i > 127 ) {
		return 127;
	}
	return i;
}

signed short ClampShort( int i ) {
	if ( i < -32768 ) {
		return -32768;
	}
	if ( i > 0x7fff ) {
		return 0x7fff;
	}
	return i;
}


// this isn't a real cheap function to call!
int DirToByte( vec3_t dir ) {
	int		i, best;
	float	d, bestd;

	if ( !dir ) {
		return 0;
	}

	bestd = 0;
	best = 0;
	for (i=0 ; i<NUMVERTEXNORMALS ; i++)
	{
		d = DotProduct (dir, bytedirs[i]);
		if (d > bestd)
		{
			bestd = d;
			best = i;
		}
	}

	return best;
}

void ByteToDir( int b, vec3_t dir ) {
	if ( b < 0 || b >= NUMVERTEXNORMALS ) {
		VectorCopy( vec3_origin, dir );
		return;
	}
	VectorCopy (bytedirs[b], dir);
}


unsigned ColorBytes3 (float r, float g, float b) {
	unsigned	i;

	( (byte *)&i )[0] = r * 255;
	( (byte *)&i )[1] = g * 255;
	( (byte *)&i )[2] = b * 255;

	return i;
}

unsigned ColorBytes4 (float r, float g, float b, float a) {
	unsigned	i;

	( (byte *)&i )[0] = r * 255;
	( (byte *)&i )[1] = g * 255;
	( (byte *)&i )[2] = b * 255;
	( (byte *)&i )[3] = a * 255;

	return i;
}

float NormalizeColor( const vec3_t in, vec3_t out ) {
	float	max;

	max = in[0];
	if ( in[1] > max ) {
		max = in[1];
	}
	if ( in[2] > max ) {
		max = in[2];
	}

	if ( !max ) {
		VectorClear( out );
	} else {
		out[0] = in[0] / max;
		out[1] = in[1] / max;
		out[2] = in[2] / max;
	}
	return max;
}


/*
=====================
PlaneFromPoints

Returns false if the triangle is degenrate.
The normal will point out of the clock for clockwise ordered points
=====================
*/
qboolean PlaneFromPoints( vec4_t plane, const vec3_t a, const vec3_t b, const vec3_t c ) {
	vec3_t	d1, d2;

	VectorSubtract( b, a, d1 );
	VectorSubtract( c, a, d2 );
	CrossProduct( d2, d1, plane );
	if ( VectorNormalize( plane ) == 0 ) {
		return qfalse;
	}

	plane[3] = DotProduct( a, plane );
	return qtrue;
}

/*
===============
RotatePointAroundVector

This is not implemented very well...
===============
*/
void RotatePointAroundVector( vec3_t dst, const vec3_t dir, const vec3_t point,
							 float degrees ) {
	float	m[3][3];
	float	im[3][3];
	float	zrot[3][3];
	float	tmpmat[3][3];
	float	rot[3][3];
	int	i;
	vec3_t vr, vup, vf;
	float	rad;

	vf[0] = dir[0];
	vf[1] = dir[1];
	vf[2] = dir[2];

	PerpendicularVector( vr, dir );
	CrossProduct( vr, vf, vup );

	m[0][0] = vr[0];
	m[1][0] = vr[1];
	m[2][0] = vr[2];

	m[0][1] = vup[0];
	m[1][1] = vup[1];
	m[2][1] = vup[2];

	m[0][2] = vf[0];
	m[1][2] = vf[1];
	m[2][2] = vf[2];

	memcpy( im, m, sizeof( im ) );

	im[0][1] = m[1][0];
	im[0][2] = m[2][0];
	im[1][0] = m[0][1];
	im[1][2] = m[2][1];
	im[2][0] = m[0][2];
	im[2][1] = m[1][2];

	memset( zrot, 0, sizeof( zrot ) );
	zrot[0][0] = zrot[1][1] = zrot[2][2] = 1.0F;

	rad = DEG2RAD( degrees );
	zrot[0][0] = cos( rad );
	zrot[0][1] = sin( rad );
	zrot[1][0] = -sin( rad );
	zrot[1][1] = cos( rad );

	MatrixMultiply( m, zrot, tmpmat );
	MatrixMultiply( tmpmat, im, rot );

	for ( i = 0; i < 3; i++ ) {
		dst[i] = rot[i][0] * point[0] + rot[i][1] * point[1] + rot[i][2] * point[2];
	}
}

/*
===============
RotateAroundDirection
===============
*/
void RotateAroundDirection( vec3_t axis[3], float yaw ) {

	// create an arbitrary axis[1]
	PerpendicularVector( axis[1], axis[0] );

	// rotate it around axis[0] by yaw
	if ( yaw ) {
		vec3_t	temp;

		VectorCopy( axis[1], temp );
		RotatePointAroundVector( axis[1], axis[0], temp, yaw );
	}

	// cross to get axis[2]
	CrossProduct( axis[0], axis[1], axis[2] );
}


void vectoangles( const vec3_t value1, vec3_t angles ) {
	float	forward;
	float	yaw, pitch;

	if ( value1[1] == 0 && value1[0] == 0 ) {
		yaw = 0;
		if ( value1[2] > 0 ) {
			pitch = 90;
		}
		else {
			pitch = 270;
		}
	}
	else {
		if ( value1[0] ) {
			yaw = ( atan2 ( value1[1], value1[0] ) * 180 / M_PI );
		}
		else if ( value1[1] > 0 ) {
			yaw = 90;
		}
		else {
			yaw = 270;
		}
		if ( yaw < 0 ) {
			yaw += 360;
		}

		forward = sqrt ( value1[0]*value1[0] + value1[1]*value1[1] );
		pitch = ( atan2(value1[2], forward) * 180 / M_PI );
		if ( pitch < 0 ) {
			pitch += 360;
		}
	}

	angles[PITCH] = -pitch;
	angles[YAW] = yaw;
	angles[ROLL] = 0;
}


/*
=================
AnglesToAxis
=================
*/
void AnglesToAxis( const vec3_t angles, vec3_t axis[3] ) {
	vec3_t	right;

	// angle vectors returns "right" instead of "y axis"
	AngleVectors( angles, axis[0], right, axis[2] );
	VectorSubtract( vec3_origin, right, axis[1] );
}

void AxisClear( vec3_t axis[3] ) {
	axis[0][0] = 1;
	axis[0][1] = 0;
	axis[0][2] = 0;
	axis[1][0] = 0;
	axis[1][1] = 1;
	axis[1][2] = 0;
	axis[2][0] = 0;
	axis[2][1] = 0;
	axis[2][2] = 1;
}

void AxisCopy( vec3_t in[3], vec3_t out[3] ) {
	VectorCopy( in[0], out[0] );
	VectorCopy( in[1], out[1] );
	VectorCopy( in[2], out[2] );
}

void ProjectPointOnPlane( vec3_t dst, const vec3_t p, const vec3_t normal ) {
	float d;
	vec3_t n;
	float inv_denom;

	inv_denom = 1.0F / DotProduct( normal, normal );

	d = DotProduct( normal, p ) * inv_denom;

	n[0] = normal[0] * inv_denom;
	n[1] = normal[1] * inv_denom;
	n[2] = normal[2] * inv_denom;

	dst[0] = p[0] - d * n[0];
	dst[1] = p[1] - d * n[1];
	dst[2] = p[2] - d * n[2];
}

/*
================
MakeNormalVectors

Given a normalized forward vector, create two
other perpendicular vectors
================
*/
void MakeNormalVectors( const vec3_t forward, vec3_t right, vec3_t up) {
	float		d;

	// this rotate and negate guarantees a vector
	// not colinear with the original
	right[1] = -forward[0];
	right[2] = forward[1];
	right[0] = forward[2];

	d = DotProduct (right, forward);
	VectorMA (right, -d, forward, right);
	VectorNormalize (right);
	CrossProduct (right, forward, up);
}


void VectorRotate( vec3_t in, vec3_t matrix[3], vec3_t out )
{
	out[0] = DotProduct( in, matrix[0] );
	out[1] = DotProduct( in, matrix[1] );
	out[2] = DotProduct( in, matrix[2] );
}

//============================================================================

#if !idppc
/*
** float q_rsqrt( float number )
*/
float Q_rsqrt( float number )
{
	floatint_t t;
	float x2, y;
	const float threehalfs = 1.5F;

	x2 = number * 0.5F;
	t.f  = number;
	t.i  = 0x5f3759df - ( t.i >> 1 );               // what the fuck?
	y  = t.f;
	y  = y * ( threehalfs - ( x2 * y * y ) );   // 1st iteration
//	y  = y * ( threehalfs - ( x2 * y * y ) );   // 2nd iteration, this can be removed

	return y;
}

float Q_fabs( float f ) {
	floatint_t fi;
	fi.f = f;
	fi.i &= 0x7FFFFFFF;
	return fi.f;
}
#endif

//============================================================

/*
===============
LerpAngle

===============
*/
float LerpAngle (float from, float to, float frac) {
	float	a;

	if ( to - from > 180 ) {
		to -= 360;
	}
	if ( to - from < -180 ) {
		to += 360;
	}
	a = from + frac * (to - from);

	return a;
}


/*
=================
LerpPosition

=================
*/

void LerpPosition( vec3_t start, vec3_t end, float frac, vec3_t out ) {
	vec3_t dist;

	VectorSubtract( end, start, dist );
	VectorMA( start, frac, dist, out );
}

/*
=================
AngleSubtract

Always returns a value from -180 to 180
=================
*/
float	AngleSubtract( float a1, float a2 ) {
	float	a;

	a = a1 - a2;
	while ( a > 180 ) {
		a -= 360;
	}
	while ( a < -180 ) {
		a += 360;
	}
	return a;
}


void AnglesSubtract( vec3_t v1, vec3_t v2, vec3_t v3 ) {
	v3[0] = AngleSubtract( v1[0], v2[0] );
	v3[1] = AngleSubtract( v1[1], v2[1] );
	v3[2] = AngleSubtract( v1[2], v2[2] );
}


float	AngleMod(float a) {
	a = (360.0/65536) * ((int)(a*(65536/360.0)) & 65535);
	return a;
}


/*
=================
AngleNormalize360

returns angle normalized to the range [0 <= angle < 360]
=================
*/
float AngleNormalize360 ( float angle ) {
	return (360.0 / 65536) * ((int)(angle * (65536 / 360.0)) & 65535);
}


/*
=================
AngleNormalize180

returns angle normalized to the range [-180 < angle <= 180]
=================
*/
float AngleNormalize180 ( float angle ) {
	angle = AngleNormalize360( angle );
	if ( angle > 180.0 ) {
		angle -= 360.0;
	}
	return angle;
}


/*
=================
AngleDelta

returns the normalized delta from angle1 to angle2
=================
*/
float AngleDelta ( float angle1, float angle2 ) {
	return AngleNormalize180( angle1 - angle2 );
}


//============================================================


/*
=================
SetPlaneSignbits
=================
*/
void SetPlaneSignbits (cplane_t *out) {
	int	bits, j;

	// for fast box on planeside test
	bits = 0;
	for (j=0 ; j<3 ; j++) {
		if (out->normal[j] < 0) {
			bits |= 1<<j;
		}
	}
	out->signbits = bits;
}


/*
==================
BoxOnPlaneSide

Returns 1, 2, or 1 + 2
==================
*/
int BoxOnPlaneSide(vec3_t emins, vec3_t emaxs, struct cplane_s *p)
{
	float	dist[2];
	int		sides, b, i;

	// fast axial cases
	if (p->type < 3)
	{
		if (p->dist <= emins[p->type])
			return 1;
		if (p->dist >= emaxs[p->type])
			return 2;
		return 3;
	}

	// general case
	dist[0] = dist[1] = 0;
	if (p->signbits < 8) // >= 8: default case is original code (dist[0]=dist[1]=0)
	{
		for (i=0 ; i<3 ; i++)
		{
			b = (p->signbits >> i) & 1;
			dist[ b] += p->normal[i]*emaxs[i];
			dist[!b] += p->normal[i]*emins[i];
		}
	}

	sides = 0;
	if (dist[0] >= p->dist)
		sides = 1;
	if (dist[1] < p->dist)
		sides |= 2;

	return sides;
}


/*
=================
RadiusFromBounds
=================
*/
float RadiusFromBounds( const vec3_t mins, const vec3_t maxs ) {
	int		i;
	vec3_t	corner;
	float	a, b;

	for (i=0 ; i<3 ; i++) {
		a = fabs( mins[i] );
		b = fabs( maxs[i] );
		corner[i] = a > b ? a : b;
	}

	return VectorLength (corner);
}


void ClearBounds( vec3_t mins, vec3_t maxs ) {
	mins[0] = mins[1] = mins[2] = 99999;
	maxs[0] = maxs[1] = maxs[2] = -99999;
}

void AddPointToBounds( const vec3_t v, vec3_t mins, vec3_t maxs ) {
	if ( v[0] < mins[0] ) {
		mins[0] = v[0];
	}
	if ( v[0] > maxs[0]) {
		maxs[0] = v[0];
	}

	if ( v[1] < mins[1] ) {
		mins[1] = v[1];
	}
	if ( v[1] > maxs[1]) {
		maxs[1] = v[1];
	}

	if ( v[2] < mins[2] ) {
		mins[2] = v[2];
	}
	if ( v[2] > maxs[2]) {
		maxs[2] = v[2];
	}
}

qboolean BoundsIntersect(const vec3_t mins, const vec3_t maxs,
		const vec3_t mins2, const vec3_t maxs2)
{
	if ( maxs[0] < mins2[0] ||
		maxs[1] < mins2[1] ||
		maxs[2] < mins2[2] ||
		mins[0] > maxs2[0] ||
		mins[1] > maxs2[1] ||
		mins[2] > maxs2[2])
	{
		return qfalse;
	}

	return qtrue;
}

qboolean BoundsIntersectSphere(const vec3_t mins, const vec3_t maxs,
		const vec3_t origin, vec_t radius)
{
	if ( origin[0] - radius > maxs[0] ||
		origin[0] + radius < mins[0] ||
		origin[1] - radius > maxs[1] ||
		origin[1] + radius < mins[1] ||
		origin[2] - radius > maxs[2] ||
		origin[2] + radius < mins[2])
	{
		return qfalse;
	}

	return qtrue;
}

qboolean BoundsIntersectPoint(const vec3_t mins, const vec3_t maxs,
		const vec3_t origin)
{
	if ( origin[0] > maxs[0] ||
		origin[0] < mins[0] ||
		origin[1] > maxs[1] ||
		origin[1] < mins[1] ||
		origin[2] > maxs[2] ||
		origin[2] < mins[2])
	{
		return qfalse;
	}

	return qtrue;
}

vec_t VectorNormalize( vec3_t v ) {
	// NOTE: TTimo - Apple G4 altivec source uses double?
	float	length, ilength;

	length = v[0]*v[0] + v[1]*v[1] + v[2]*v[2];

	if ( length ) {
		/* writing it this way allows gcc to recognize that rsqrt can be used */
		ilength = 1/(float)sqrt (length);
		/* sqrt(length) = length * (1 / sqrt(length)) */
		length *= ilength;
		v[0] *= ilength;
		v[1] *= ilength;
		v[2] *= ilength;
	}

	return length;
}

vec_t VectorNormalize2( const vec3_t v, vec3_t out) {
	float	length, ilength;

	length = v[0]*v[0] + v[1]*v[1] + v[2]*v[2];

	if (length)
	{
		/* writing it this way allows gcc to recognize that rsqrt can be used */
		ilength = 1/(float)sqrt (length);
		/* sqrt(length) = length * (1 / sqrt(length)) */
		length *= ilength;
		out[0] = v[0]*ilength;
		out[1] = v[1]*ilength;
		out[2] = v[2]*ilength;
	} else {
		VectorClear( out );
	}

	return length;

}

void _VectorMA( const vec3_t veca, float scale, const vec3_t vecb, vec3_t vecc) {
	vecc[0] = veca[0] + scale*vecb[0];
	vecc[1] = veca[1] + scale*vecb[1];
	vecc[2] = veca[2] + scale*vecb[2];
}


vec_t _DotProduct( const vec3_t v1, const vec3_t v2 ) {
	return v1[0]*v2[0] + v1[1]*v2[1] + v1[2]*v2[2];
}

void _VectorSubtract( const vec3_t veca, const vec3_t vecb, vec3_t out ) {
	out[0] = veca[0]-vecb[0];
	out[1] = veca[1]-vecb[1];
	out[2] = veca[2]-vecb[2];
}

void _VectorAdd( const vec3_t veca, const vec3_t vecb, vec3_t out ) {
	out[0] = veca[0]+vecb[0];
	out[1] = veca[1]+vecb[1];
	out[2] = veca[2]+vecb[2];
}

void _VectorCopy( const vec3_t in, vec3_t out ) {
	out[0] = in[0];
	out[1] = in[1];
	out[2] = in[2];
}

void _VectorScale( const vec3_t in, vec_t scale, vec3_t out ) {
	out[0] = in[0]*scale;
	out[1] = in[1]*scale;
	out[2] = in[2]*scale;
}

void Vector4Scale( const vec4_t in, vec_t scale, vec4_t out ) {
	out[0] = in[0]*scale;
	out[1] = in[1]*scale;
	out[2] = in[2]*scale;
	out[3] = in[3]*scale;
}


int Q_log2( int val ) {
	int answer;

	answer = 0;
	while ( ( val>>=1 ) != 0 ) {
		answer++;
	}
	return answer;
}


/*
=================
PlaneTypeForNormal
=================
*/
/*
int	PlaneTypeForNormal (vec3_t normal) {
	if ( normal[0] == 1.0 )
		return PLANE_X;
	if ( normal[1] == 1.0 )
		return PLANE_Y;
	if ( normal[2] == 1.0 )
		return PLANE_Z;

	return PLANE_NON_AXIAL;
}
*/


/*
================
MatrixMultiply
================
*/
void MatrixMultiply(float in1[3][3], float in2[3][3], float out[3][3]) {
	out[0][0] = in1[0][0] * in2[0][0] + in1[0][1] * in2[1][0] +
				in1[0][2] * in2[2][0];
	out[0][1] = in1[0][0] * in2[0][1] + in1[0][1] * in2[1][1] +
				in1[0][2] * in2[2][1];
	out[0][2] = in1[0][0] * in2[0][2] + in1[0][1] * in2[1][2] +
				in1[0][2] * in2[2][2];
	out[1][0] = in1[1][0] * in2[0][0] + in1[1][1] * in2[1][0] +
				in1[1][2] * in2[2][0];
	out[1][1] = in1[1][0] * in2[0][1] + in1[1][1] * in2[1][1] +
				in1[1][2] * in2[2][1];
	out[1][2] = in1[1][0] * in2[0][2] + in1[1][1] * in2[1][2] +
				in1[1][2] * in2[2][2];
	out[2][0] = in1[2][0] * in2[0][0] + in1[2][1] * in2[1][0] +
				in1[2][2] * in2[2][0];
	out[2][1] = in1[2][0] * in2[0][1] + in1[2][1] * in2[1][1] +
				in1[2][2] * in2[2][1];
	out[2][2] = in1[2][0] * in2[0][2] + in1[2][1] * in2[1][2] +
				in1[2][2] * in2[2][2];
}


void AngleVectors( const vec3_t angles, vec3_t forward, vec3_t right, vec3_t up) {
	float		angle;
	static float		sr, sp, sy, cr, cp, cy;
	// static to help MS compiler fp bugs

	angle = angles[YAW] * (M_PI*2 / 360);
	sy = sin(angle);
	cy = cos(angle);
	angle = angles[PITCH] * (M_PI*2 / 360);
	sp = sin(angle);
	cp = cos(angle);
	angle = angles[ROLL] * (M_PI*2 / 360);
	sr = sin(angle);
	cr = cos(angle);

	if (forward)
	{
		forward[0] = cp*cy;
		forward[1] = cp*sy;
		forward[2] = -sp;
	}
	if (right)
	{
		right[0] = (-1*sr*sp*cy+-1*cr*-sy);
		right[1] = (-1*sr*sp*sy+-1*cr*cy);
		right[2] = -1*sr*cp;
	}
	if (up)
	{
		up[0] = (cr*sp*cy+-sr*-sy);
		up[1] = (cr*sp*sy+-sr*cy);
		up[2] = cr*cp;
	}
}

/*
** assumes "src" is normalized
*/
void PerpendicularVector( vec3_t dst, const vec3_t src )
{
	int	pos;
	int i;
	float minelem = 1.0F;
	vec3_t tempvec;

	/*
	** find the smallest magnitude axially aligned vector
	*/
	for ( pos = 0, i = 0; i < 3; i++ )
	{
		if ( fabs( src[i] ) < minelem )
		{
			pos = i;
			minelem = fabs( src[i] );
		}
	}
	tempvec[0] = tempvec[1] = tempvec[2] = 0.0F;
	tempvec[pos] = 1.0F;

	/*
	** project the point onto the plane defined by src
	*/
	ProjectPointOnPlane( dst, tempvec, src );

	/*
	** normalize the result
	*/
	VectorNormalize( dst );
}

// Ridah
/*
=================
GetPerpendicularViewVector

  Used to find an "up" vector for drawing a sprite so that it always faces the view as best as possible
=================
*/
void GetPerpendicularViewVector( const vec3_t point, const vec3_t p1, const vec3_t p2, vec3_t up ) {
	vec3_t v1, v2;

	VectorSubtract( point, p1, v1 );
	VectorNormalize( v1 );

	VectorSubtract( point, p2, v2 );
	VectorNormalize( v2 );

	CrossProduct( v1, v2, up );
	VectorNormalize( up );
}

/*
================
ProjectPointOntoVector
================
*/
void ProjectPointOntoVector( vec3_t point, vec3_t vStart, vec3_t vEnd, vec3_t vProj ) {
	vec3_t pVec, vec;

	VectorSubtract( point, vStart, pVec );
	VectorSubtract( vEnd, vStart, vec );
	VectorNormalize( vec );
	// project onto the directional vector for this segment
	VectorMA( vStart, DotProduct( pVec, vec ), vec, vProj );
}

float vectoyaw( const vec3_t vec ) {
	float yaw;

	if ( vec[YAW] == 0 && vec[PITCH] == 0 ) {
		yaw = 0;
	} else {
		if ( vec[PITCH] ) {
			yaw = ( atan2( vec[YAW], vec[PITCH] ) * 180 / M_PI );
		} else if ( vec[YAW] > 0 ) {
			yaw = 90;
		} else {
			yaw = 270;
		}
		if ( yaw < 0 ) {
			yaw += 360;
		}
	}

	return yaw;
}

/*
=================
AxisToAngles

  Used to convert the MD3 tag axis to MDC tag angles, which are much smaller

  This doesn't have to be fast, since it's only used for conversion in utils, try to avoid
  using this during gameplay
=================
*/
void AxisToAngles( vec3_t axis[3], vec3_t angles ) {
	vec3_t right, roll_angles, tvec;

	// first get the pitch and yaw from the forward vector
	vectoangles( axis[0], angles );

	// now get the roll from the right vector
	VectorCopy( axis[1], right );
	// get the angle difference between the tmpAxis[2] and axis[2] after they have been reverse-rotated
	RotatePointAroundVector( tvec, axisDefault[2], right, -angles[YAW] );
	RotatePointAroundVector( right, axisDefault[1], tvec, -angles[PITCH] );
	// now find the angles, the PITCH is effectively our ROLL
	vectoangles( right, roll_angles );
	roll_angles[PITCH] = AngleNormalize180( roll_angles[PITCH] );
	// if the yaw is more than 90 degrees difference, we should adjust the pitch
	if ( DotProduct( right, axisDefault[1] ) < 0 ) {
		if ( roll_angles[PITCH] < 0 ) {
			roll_angles[PITCH] = -90 + ( -90 - roll_angles[PITCH] );
		} else {
			roll_angles[PITCH] =  90 + ( 90 - roll_angles[PITCH] );
		}
	}

	angles[ROLL] = -roll_angles[PITCH];
}

float VectorDistance( vec3_t v1, vec3_t v2 ) {
	vec3_t dir;

	VectorSubtract( v2, v1, dir );
	return VectorLength( dir );
}

/*
================
Q_isnan

Don't pass doubles to this
================
*/
int Q_isnan( float x )
{
	floatint_t fi;

	fi.f = x;
	fi.ui &= 0x7FFFFFFF;
	fi.ui = 0x7F800000 - fi.ui;

	return (int)( (unsigned int)fi.ui >> 31 );
}

//------------------------------------------------------------------------

#ifndef Q3_VM
/*
=====================
Q_acos

the msvc acos doesn't always return a value between -PI and PI:

int i;
i = 1065353246;
acos(*(float*) &i) == -1.#IND0

=====================
*/
float Q_acos(float c) {
	float angle;

	angle = acos(c);

	if (angle > M_PI) {
		return (float)M_PI;
	}
	if (angle < -M_PI) {
		return (float)M_PI;
	}
	return angle;
}
#endif