File: math_matrix.cpp

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

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

This file is part of the Return to Castle Wolfenstein single player GPL Source Code (“RTCW SP Source Code”).  

RTCW SP 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 SP 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 RTCW SP Source Code.  If not, see <http://www.gnu.org/licenses/>.

In addition, the RTCW SP Source Code is also subject to certain additional terms. You should have received a copy of these additional terms immediately following the terms and conditions of the GNU General Public License which accompanied the RTCW SP Source Code.  If not, please request a copy in writing from id Software at the address below.

If you have questions concerning this license or the applicable additional terms, you may contact in writing id Software LLC, c/o ZeniMax Media Inc., Suite 120, Rockville, Maryland 20850 USA.

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

#include "q_splineshared.h"

mat3_t mat3_default( idVec3( 1, 0, 0 ), idVec3( 0, 1, 0 ), idVec3( 0, 0, 1 ) );

void toMatrix( quat_t const &src, mat3_t &dst ) {
	float wx, wy, wz;
	float xx, yy, yz;
	float xy, xz, zz;
	float x2, y2, z2;

	x2 = src.x + src.x;
	y2 = src.y + src.y;
	z2 = src.z + src.z;

	xx = src.x * x2;
	xy = src.x * y2;
	xz = src.x * z2;

	yy = src.y * y2;
	yz = src.y * z2;
	zz = src.z * z2;

	wx = src.w * x2;
	wy = src.w * y2;
	wz = src.w * z2;

	dst[ 0 ][ 0 ] = 1.0f - ( yy + zz );
	dst[ 0 ][ 1 ] = xy - wz;
	dst[ 0 ][ 2 ] = xz + wy;

	dst[ 1 ][ 0 ] = xy + wz;
	dst[ 1 ][ 1 ] = 1.0f - ( xx + zz );
	dst[ 1 ][ 2 ] = yz - wx;

	dst[ 2 ][ 0 ] = xz - wy;
	dst[ 2 ][ 1 ] = yz + wx;
	dst[ 2 ][ 2 ] = 1.0f - ( xx + yy );
}

void toMatrix( angles_t const &src, mat3_t &dst ) {
	float angle;
	static float sr, sp, sy, cr, cp, cy;    // static to help MS compiler fp bugs

	angle = src.yaw * ( M_PI * 2.0f / 360.0f );
	sy = sin( angle );
	cy = cos( angle );

	angle = src.pitch * ( M_PI * 2.0f / 360.0f );
	sp = sin( angle );
	cp = cos( angle );

	angle = src.roll * ( M_PI * 2.0f / 360.0f );
	sr = sin( angle );
	cr = cos( angle );

	dst[ 0 ].set( cp * cy, cp * sy, -sp );
	dst[ 1 ].set( sr * sp * cy + cr * -sy, sr * sp * sy + cr * cy, sr * cp );
	dst[ 2 ].set( cr * sp * cy + - sr * -sy, cr * sp * sy + - sr * cy, cr * cp );
}

void toMatrix( idVec3 const &src, mat3_t &dst ) {
	angles_t sup = src;
	toMatrix( sup, dst );
}

void mat3_t::ProjectVector( const idVec3 &src, idVec3 &dst ) const {
	dst.x = src * mat[ 0 ];
	dst.y = src * mat[ 1 ];
	dst.z = src * mat[ 2 ];
}

void mat3_t::UnprojectVector( const idVec3 &src, idVec3 &dst ) const {
	dst = mat[ 0 ] * src.x + mat[ 1 ] * src.y + mat[ 2 ] * src.z;
}

void mat3_t::Transpose( mat3_t &matrix ) {
	int i;
	int j;

	for ( i = 0; i < 3; i++ ) {
		for ( j = 0; j < 3; j++ ) {
			matrix[ i ][ j ] = mat[ j ][ i ];
		}
	}
}

void mat3_t::Transpose( void ) {
	float temp;
	int i;
	int j;

	for ( i = 0; i < 3; i++ ) {
		for ( j = i + 1; j < 3; j++ ) {
			temp = mat[ i ][ j ];
			mat[ i ][ j ] = mat[ j ][ i ];
			mat[ j ][ i ] = temp;
		}
	}
}

mat3_t mat3_t::Inverse( void ) const {
	mat3_t inv( *this );

	inv.Transpose();

	return inv;
}

void mat3_t::Clear( void ) {
	mat[0].set( 1, 0, 0 );
	mat[1].set( 0, 1, 0 );
	mat[2].set( 0, 0, 1 );
}