/** * \file vector.hxx * Additional vector routines. */ // Written by Curtis Olson, started December 1997. // // Copyright (C) 1997 Curtis L. Olson - curt@infoplane.com // // This library is free software; you can redistribute it and/or // modify it under the terms of the GNU Library General Public // License as published by the Free Software Foundation; either // version 2 of the License, or (at your option) any later version. // // This library 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 // Library General Public License for more details. // // You should have received a copy of the GNU Library General Public // License along with this library; if not, write to the // Free Software Foundation, Inc., 59 Temple Place - Suite 330, // Boston, MA 02111-1307, USA. // // $Id$ #ifndef _VECTOR_HXX #define _VECTOR_HXX #ifndef __cplusplus # error This library requires C++ #endif #include #include /** * Map a vector onto a plane. * @param normal (in) normal vector for the plane * @param v0 (in) a point on the plane * @param vec (in) the vector to map onto the plane * @param result (out) the result vector */ inline void sgmap_vec_onto_cur_surface_plane( sgVec3 normal, sgVec3 v0, sgVec3 vec, sgVec3 result ) { sgVec3 u1, v, tmp; // calculate a vector "u1" representing the shortest distance from // the plane specified by normal and v0 to a point specified by // "vec". "u1" represents both the direction and magnitude of // this desired distance. // u1 = ( (normal vec) / (normal normal) ) * normal sgScaleVec3( u1, normal, ( sgScalarProductVec3(normal, vec) / sgScalarProductVec3(normal, normal) ) ); // printf(" vec = %.2f, %.2f, %.2f\n", vec[0], vec[1], vec[2]); // printf(" v0 = %.2f, %.2f, %.2f\n", v0[0], v0[1], v0[2]); // printf(" u1 = %.2f, %.2f, %.2f\n", u1[0], u1[1], u1[2]); // calculate the vector "v" which is the vector "vec" mapped onto // the plane specified by "normal" and "v0". // v = v0 + vec - u1 sgAddVec3(tmp, v0, vec); sgSubVec3(v, tmp, u1); // printf(" v = %.2f, %.2f, %.2f\n", v[0], v[1], v[2]); // Calculate the vector "result" which is "v" - "v0" which is a // directional vector pointing from v0 towards v // result = v - v0 sgSubVec3(result, v, v0); // printf(" result = %.2f, %.2f, %.2f\n", // result[0], result[1], result[2]); } /** * Copy and negate a vector. * @param dst (out) result vector * @param src (in) input vector */ inline void sgCopyNegateVec4( sgVec4 dst, sgVec4 src ) { dst [ 0 ] = -src [ 0 ] ; dst [ 1 ] = -src [ 1 ] ; dst [ 2 ] = -src [ 2 ] ; dst [ 3 ] = -src [ 3 ] ; } /** * Given a point p, and a line through p0 with direction vector d, * find the closest point (p1) on the line (float version). * @param p1 (out) closest point to p on the line * @param p (in) original point * @param p0 (in) point on the line * @param d (in) vector defining line direction */ void sgClosestPointToLine( sgVec3 p1, const sgVec3 p, const sgVec3 p0, const sgVec3 d ); /** * Given a point p, and a line through p0 with direction vector d, * find the closest point (p1) on the line (double version). * @param p1 (out) closest point to p on the line * @param p (in) original point * @param p0 (in) point on the line * @param d (in) vector defining line direction */ void sgdClosestPointToLine( sgdVec3 p1, const sgdVec3 p, const sgdVec3 p0, const sgdVec3 d ); /** * Given a point p, and a line through p0 with direction vector d, * find the shortest distance (squared) from the point to the line (float * version.) * @param p (in) original point * @param p0 (in) point on the line * @param d (in) vector defining line direction * @return shortest distance (squared) from p to line */ double sgClosestPointToLineDistSquared( const sgVec3 p, const sgVec3 p0, const sgVec3 d ); /** * Given a point p, and a line through p0 with direction vector d, * find the shortest distance (squared) from the point to the line (double * version.) * @param p (in) original point * @param p0 (in) point on the line * @param d (in) vector defining line direction * @return shortest distance (squared) from p to line */ double sgdClosestPointToLineDistSquared( const sgdVec3 p, const sgdVec3 p0, const sgdVec3 d ); /** * This is same as: * *
  • sgMakeMatTrans4( sgMat4 sgTrans, sgVec3 trans ) *
  • sgPostMultMat4( sgMat4 src, sgTRANS ); * * @param src starting sgMat4 matrix * @param trans translation vector */ void sgPostMultMat4ByTransMat4( sgMat4 src, const sgVec3 trans ); #endif // _VECTOR_HXX