mirror of
https://github.com/UberGames/lilium-voyager.git
synced 2024-11-15 00:41:55 +00:00
1042 lines
24 KiB
C
1042 lines
24 KiB
C
/*
|
|
===========================================================================
|
|
Copyright (C) 1999-2005 Id Software, Inc.
|
|
|
|
This file is part of Quake III Arena source code.
|
|
|
|
Quake III Arena 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 2 of the License,
|
|
or (at your option) any later version.
|
|
|
|
Quake III Arena source code 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 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 = (69069 * *seed + 1);
|
|
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 = DotProduct( normal, normal );
|
|
#ifndef Q3_VM
|
|
assert( Q_fabs(inv_denom) != 0.0f ); // zero vectors get here
|
|
#endif
|
|
inv_denom = 1.0f / inv_denom;
|
|
|
|
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;
|
|
}
|
|
|
|
|
|
/*
|
|
=================
|
|
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 );
|
|
}
|
|
|
|
/*
|
|
================
|
|
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
|