Xash3DArchive/engine/client/gl_rmath.c

//=======================================================================
//			Copyright XashXT Group 2010 ©
//			gl_rmath.c - renderer mathlib
//=======================================================================

#include "common.h"
#include "gl_local.h"
#include "mathlib.h"

#define FTABLE_SIZE_POW		10
#define NOISE_SIZE			256
#define FTABLE_SIZE			( 1<<FTABLE_SIZE_POW )
#define NOISE_VAL( a )	  	r_noiseperm[( a ) & ( NOISE_SIZE - 1 )]
#define FTABLE_CLAMP( x )		(((uint)( ( x )*FTABLE_SIZE ) & ( FTABLE_SIZE-1 )))
#define FTABLE_EVALUATE( table, x )	(( table )[FTABLE_CLAMP( x )] )
#define NOISE_INDEX( x, y, z, t )	NOISE_VAL( x + NOISE_VAL( y + NOISE_VAL( z + NOISE_VAL( t ) ) ) )
#define NOISE_LERP( a, b, w )		( a * ( 1.0f - w ) + b * w )

static float	r_sintableByte[256];
static float	r_sintable[FTABLE_SIZE];
static float	r_triangletable[FTABLE_SIZE];
static float	r_squaretable[FTABLE_SIZE];
static float	r_sawtoothtable[FTABLE_SIZE];
static float	r_inversesawtoothtable[FTABLE_SIZE];
static float	r_noisetable[NOISE_SIZE];
static int	r_noiseperm[NOISE_SIZE];
static float	r_warpsintable[256] =
{
#include "warpsin.h"
};

/*
==============
R_InitMathlib
==============
*/
void R_InitMathlib( void )
{
	int	i;
	float	t;

	// build lookup tables
	for( i = 0; i < FTABLE_SIZE; i++ )
	{
		t = (float)i / (float)FTABLE_SIZE;

		r_sintable[i] = sin( t * M_PI2 );

		if( t < 0.25f ) r_triangletable[i] = t * 4.0f;
		else if( t < 0.75f ) r_triangletable[i] = 2.0f - 4.0f * t;
		else r_triangletable[i] = ( t - 0.75f ) * 4.0f - 1.0f;

		if( t < 0.5f ) r_squaretable[i] = 1.0f;
		else r_squaretable[i] = -1.0f;

		r_sawtoothtable[i] = t;
		r_inversesawtoothtable[i] = 1.0f - t;
	}

	for( i = 0; i < 256; i++ )
		r_sintableByte[i] = sin((float)i / 255.0f * M_PI2 );

	// init the noise table
	for( i = 0; i < NOISE_SIZE; i++ )
	{
		r_noisetable[i] = Com_RandomFloat( -1.0f, 1.0f );
		r_noiseperm[i] = Com_RandomLong( 0, 255 );
	}
}

/*
====================
V_CalcFov
====================
*/
float V_CalcFov( float *fov_x, float width, float height )
{
	float	x, half_fov_y;

	if( *fov_x < 1 || *fov_x > 170 )
	{
		MsgDev( D_ERROR, "V_CalcFov: bad fov %g!\n", *fov_x );
		*fov_x = 90;
	}

	x = width / tan( DEG2RAD( *fov_x ) * 0.5f );
	half_fov_y = atan( height / x );

	return RAD2DEG( half_fov_y ) * 2;
}

/*
====================
V_AdjustFov
====================
*/
void V_AdjustFov( float *fov_x, float *fov_y, float width, float height, qboolean lock_x )
{
	float x, y;

	if( width * 3 == 4 * height || width * 4 == height * 5 )
	{
		// 4:3 or 5:4 ratio
		return;
	}

	if( lock_x )
	{
		*fov_y = 2 * atan((width * 3) / (height * 4) * tan( *fov_y * M_PI / 360.0 * 0.5 )) * 360 / M_PI;
		return;
	}

	y = V_CalcFov( fov_x, 640, 480 );
	x = *fov_x;

	*fov_x = V_CalcFov( &y, height, width );
	if( *fov_x < x ) *fov_x = x;
	else *fov_y = y;
}

/*
=============
R_NormToLatLong
=============
*/
void R_NormToLatLong( const vec3_t normal, byte latlong[2] )
{
	// can't do atan2 (normal[1], normal[0])
	if( normal[0] == 0 && normal[1] == 0 )
	{
		if( normal[2] > 0 )
		{
			latlong[0] = 0;	// acos ( 1 )
			latlong[1] = 0;
		}
		else
		{
			latlong[0] = 128;	// acos ( -1 )
			latlong[1] = 0;
		}
	}
	else
	{
		int	angle;

		angle = (int)(acos( normal[2]) * 255.0 / M_PI2 ) & 255;
		latlong[0] = angle;
		angle = (int)(atan2( normal[1], normal[0] ) * 255.0 / M_PI2 ) & 255;
		latlong[1] = angle;
	}
}

/*
=============
R_LatLongToNorm
=============
*/
void R_LatLongToNorm( const byte latlong[2], vec3_t normal )
{
	float	sin_a, sin_b, cos_a, cos_b;

	cos_a = r_sintableByte[(latlong[0] + 64) & 255];
	sin_a = r_sintableByte[latlong[0]];
	cos_b = r_sintableByte[(latlong[1] + 64) & 255];
	sin_b = r_sintableByte[latlong[1]];

	VectorSet( normal, cos_b * sin_a, sin_b * sin_a, cos_a );
}

byte R_FloatToByte( float x )
{
	union {
		float f;
		uint i;
	} f2i;

	// shift float to have 8bit fraction at base of number
	f2i.f = x + 32768.0f;
	f2i.i &= 0x7FFFFF;

	// then read as integer and kill float bits...
	return ( byte )min( f2i.i, 255 );
}

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

	       Matrix4x4 operations (private to renderer)

========================================================================
*/
void Matrix4x4_Concat( matrix4x4 out, const matrix4x4 in1, const matrix4x4 in2 )
{
	out[0][0] = in1[0][0] * in2[0][0] + in1[0][1] * in2[1][0] + in1[0][2] * in2[2][0] + in1[0][3] * in2[3][0];
	out[0][1] = in1[0][0] * in2[0][1] + in1[0][1] * in2[1][1] + in1[0][2] * in2[2][1] + in1[0][3] * in2[3][1];
	out[0][2] = in1[0][0] * in2[0][2] + in1[0][1] * in2[1][2] + in1[0][2] * in2[2][2] + in1[0][3] * in2[3][2];
	out[0][3] = in1[0][0] * in2[0][3] + in1[0][1] * in2[1][3] + in1[0][2] * in2[2][3] + in1[0][3] * in2[3][3];
	out[1][0] = in1[1][0] * in2[0][0] + in1[1][1] * in2[1][0] + in1[1][2] * in2[2][0] + in1[1][3] * in2[3][0];
	out[1][1] = in1[1][0] * in2[0][1] + in1[1][1] * in2[1][1] + in1[1][2] * in2[2][1] + in1[1][3] * in2[3][1];
	out[1][2] = in1[1][0] * in2[0][2] + in1[1][1] * in2[1][2] + in1[1][2] * in2[2][2] + in1[1][3] * in2[3][2];
	out[1][3] = in1[1][0] * in2[0][3] + in1[1][1] * in2[1][3] + in1[1][2] * in2[2][3] + in1[1][3] * in2[3][3];
	out[2][0] = in1[2][0] * in2[0][0] + in1[2][1] * in2[1][0] + in1[2][2] * in2[2][0] + in1[2][3] * in2[3][0];
	out[2][1] = in1[2][0] * in2[0][1] + in1[2][1] * in2[1][1] + in1[2][2] * in2[2][1] + in1[2][3] * in2[3][1];
	out[2][2] = in1[2][0] * in2[0][2] + in1[2][1] * in2[1][2] + in1[2][2] * in2[2][2] + in1[2][3] * in2[3][2];
	out[2][3] = in1[2][0] * in2[0][3] + in1[2][1] * in2[1][3] + in1[2][2] * in2[2][3] + in1[2][3] * in2[3][3];
	out[3][0] = in1[3][0] * in2[0][0] + in1[3][1] * in2[1][0] + in1[3][2] * in2[2][0] + in1[3][3] * in2[3][0];
	out[3][1] = in1[3][0] * in2[0][1] + in1[3][1] * in2[1][1] + in1[3][2] * in2[2][1] + in1[3][3] * in2[3][1];
	out[3][2] = in1[3][0] * in2[0][2] + in1[3][1] * in2[1][2] + in1[3][2] * in2[2][2] + in1[3][3] * in2[3][2];
	out[3][3] = in1[3][0] * in2[0][3] + in1[3][1] * in2[1][3] + in1[3][2] * in2[2][3] + in1[3][3] * in2[3][3];
}

/*
================
Matrix4x4_CreateProjection

NOTE: produce quake style world orientation
================
*/
void Matrix4x4_CreateProjection(matrix4x4 out, float xMax, float xMin, float yMax, float yMin, float zNear, float zFar)
{
	out[0][0] = ( 2.0f * zNear ) / ( xMax - xMin );
	out[1][1] = ( 2.0f * zNear ) / ( yMax - yMin );
	out[2][2] = -( zFar + zNear ) / ( zFar - zNear );
	out[3][3] = out[0][1] = out[1][0] = out[3][0] = out[0][3] = out[3][1] = out[1][3] = 0.0f;

	out[2][0] = 0.0f;
	out[2][1] = 0.0f;
	out[0][2] = ( xMax + xMin ) / ( xMax - xMin );
	out[1][2] = ( yMax + yMin ) / ( yMax - yMin );
	out[3][2] = -1.0f;
	out[2][3] = -( 2.0f * zFar * zNear ) / ( zFar - zNear );
}

/*
================
Matrix4x4_CreateModelview

NOTE: produce quake style world orientation
================
*/
void Matrix4x4_CreateModelview( matrix4x4 out )
{
	out[0][0] = out[1][1] = out[2][2] = 0.0f;
	out[3][0] = out[0][3] = 0.0f;
	out[3][1] = out[1][3] = 0.0f;
	out[3][2] = out[2][3] = 0.0f;
	out[3][3] = 1.0f;
	out[1][0] = out[0][2] = out[2][1] = 0.0f;
	out[2][0] = out[0][1] = -1.0f;
	out[1][2] = 1.0f;
}

void Matrix4x4_ToArrayFloatGL( const matrix4x4 in, float out[16] )
{
	out[ 0] = in[0][0];
	out[ 1] = in[1][0];
	out[ 2] = in[2][0];
	out[ 3] = in[3][0];
	out[ 4] = in[0][1];
	out[ 5] = in[1][1];
	out[ 6] = in[2][1];
	out[ 7] = in[3][1];
	out[ 8] = in[0][2];
	out[ 9] = in[1][2];
	out[10] = in[2][2];
	out[11] = in[3][2];
	out[12] = in[0][3];
	out[13] = in[1][3];
	out[14] = in[2][3];
	out[15] = in[3][3];
}

void Matrix4x4_FromArrayFloatGL( matrix4x4 out, const float in[16] )
{
	out[0][0] = in[0];
	out[1][0] = in[1];
	out[2][0] = in[2];
	out[3][0] = in[3];
	out[0][1] = in[4];
	out[1][1] = in[5];
	out[2][1] = in[6];
	out[3][1] = in[7];
	out[0][2] = in[8];
	out[1][2] = in[9];
	out[2][2] = in[10];
	out[3][2] = in[11];
	out[0][3] = in[12];
	out[1][3] = in[13];
	out[2][3] = in[14];
	out[3][3] = in[15];
}

void Matrix4x4_CreateTranslate( matrix4x4 out, float x, float y, float z )
{
	out[0][0] = 1.0f;
	out[0][1] = 0.0f;
	out[0][2] = 0.0f;
	out[0][3] = x;
	out[1][0] = 0.0f;
	out[1][1] = 1.0f;
	out[1][2] = 0.0f;
	out[1][3] = y;
	out[2][0] = 0.0f;
	out[2][1] = 0.0f;
	out[2][2] = 1.0f;
	out[2][3] = z;
	out[3][0] = 0.0f;
	out[3][1] = 0.0f;
	out[3][2] = 0.0f;
	out[3][3] = 1.0f;
}

void Matrix4x4_CreateRotate( matrix4x4 out, float angle, float x, float y, float z )
{
	float	len, c, s;

	len = x * x + y * y + z * z;
	if( len != 0.0f ) len = 1.0f / sqrt( len );
	x *= len;
	y *= len;
	z *= len;

	angle *= (-M_PI / 180.0f);
	SinCos( angle, &s, &c );

	out[0][0]=x * x + c * (1 - x * x);
	out[0][1]=x * y * (1 - c) + z * s;
	out[0][2]=z * x * (1 - c) - y * s;
	out[0][3]=0.0f;
	out[1][0]=x * y * (1 - c) - z * s;
	out[1][1]=y * y + c * (1 - y * y);
	out[1][2]=y * z * (1 - c) + x * s;
	out[1][3]=0.0f;
	out[2][0]=z * x * (1 - c) + y * s;
	out[2][1]=y * z * (1 - c) - x * s;
	out[2][2]=z * z + c * (1 - z * z);
	out[2][3]=0.0f;
	out[3][0]=0.0f;
	out[3][1]=0.0f;
	out[3][2]=0.0f;
	out[3][3]=1.0f;
}

void Matrix4x4_ConcatTranslate( matrix4x4 out, float x, float y, float z )
{
	matrix4x4 base, temp;

	Matrix4x4_Copy( base, out );
	Matrix4x4_CreateTranslate( temp, x, y, z );
	Matrix4x4_Concat( out, base, temp );
}

void Matrix4x4_ConcatRotate( matrix4x4 out, float angle, float x, float y, float z )
{
	matrix4x4 base, temp;

	Matrix4x4_Copy( base, out );
	Matrix4x4_CreateRotate( temp, angle, x, y, z );
	Matrix4x4_Concat( out, base, temp );
}