/* * Portions of this file are copyright Rebirth contributors and licensed as * described in COPYING.txt. * Portions of this file are copyright Parallax Software and licensed * according to the Parallax license below. * See COPYING.txt for license details. THE COMPUTER CODE CONTAINED HEREIN IS THE SOLE PROPERTY OF PARALLAX SOFTWARE CORPORATION ("PARALLAX"). PARALLAX, IN DISTRIBUTING THE CODE TO END-USERS, AND SUBJECT TO ALL OF THE TERMS AND CONDITIONS HEREIN, GRANTS A ROYALTY-FREE, PERPETUAL LICENSE TO SUCH END-USERS FOR USE BY SUCH END-USERS IN USING, DISPLAYING, AND CREATING DERIVATIVE WORKS THEREOF, SO LONG AS SUCH USE, DISPLAY OR CREATION IS FOR NON-COMMERCIAL, ROYALTY OR REVENUE FREE PURPOSES. IN NO EVENT SHALL THE END-USER USE THE COMPUTER CODE CONTAINED HEREIN FOR REVENUE-BEARING PURPOSES. THE END-USER UNDERSTANDS AND AGREES TO THE TERMS HEREIN AND ACCEPTS THE SAME BY USE OF THIS FILE. COPYRIGHT 1993-1998 PARALLAX SOFTWARE CORPORATION. ALL RIGHTS RESERVED. */ /* * * Header file for vector/matrix library * */ #ifndef _VECMAT_H #define _VECMAT_H #include "maths.h" #ifdef __cplusplus #include "dxxsconf.h" #include //The basic fixed-point vector. Access elements by name or position struct vms_vector { fix x, y, z; }; #define DEFINE_SERIAL_VMS_VECTOR_TO_MESSAGE() \ DEFINE_SERIAL_UDT_TO_MESSAGE(vms_vector, v, (v.x, v.y, v.z)); \ ASSERT_SERIAL_UDT_MESSAGE_SIZE(vms_vector, 12) //Angle vector. Used to store orientations struct vms_angvec { fixang p, b, h; }; //A 3x3 rotation matrix. Sorry about the numbering starting with one. //Ordering is across then down, so is the first row struct vms_matrix { vms_vector rvec, uvec, fvec; }; // Quaternion structure struct vms_quaternion { signed short w, x, y, z; }; //Macros/functions to fill in fields of structures //macro to set a vector to zero. we could do this with an in-line assembly //macro, but it's probably better to let the compiler optimize it. //Note: NO RETURN VALUE static inline void vm_vec_zero(vms_vector &v) { v = {}; } //macro set set a matrix to the identity. Note: NO RETURN VALUE // DPH (18/9/98): Begin mod to fix linefeed problem under linux. Uses an // inline function instead of a multi-line macro to fix CR/LF problems. // DPH (19/8/98): End changes. vms_vector * vm_vec_make (vms_vector * v, fix x, fix y, fix z); //Global constants extern const vms_matrix vmd_identity_matrix; //Here's a handy constant #define ZERO_VECTOR {0,0,0} #define IDENTITY_MATRIX { {f1_0,0,0}, {0,f1_0,0}, {0,0,f1_0} } const vms_vector vmd_zero_vector ZERO_VECTOR; //negate a vector static inline void vm_vec_negate(vms_vector &v) { v.x = -v.x; v.y = -v.y; v.z = -v.z; } //Functions in library //adds two vectors, fills in dest, returns ptr to dest //ok for dest to equal either source, but should use vm_vec_add2() if so vms_vector &vm_vec_add (vms_vector &dest, const vms_vector &src0, const vms_vector &src1); //subs two vectors, fills in dest, returns ptr to dest //ok for dest to equal either source, but should use vm_vec_sub2() if so vms_vector &vm_vec_sub (vms_vector &dest, const vms_vector &src0, const vms_vector &src1); //adds one vector to another. returns ptr to dest //dest can equal source vms_vector &vm_vec_add2 (vms_vector &dest, const vms_vector &src); //subs one vector from another, returns ptr to dest //dest can equal source vms_vector &vm_vec_sub2 (vms_vector &dest, const vms_vector &src); //averages two vectors. returns ptr to dest //dest can equal either source vms_vector &vm_vec_avg (vms_vector &dest, const vms_vector &src0, const vms_vector &src1); //scales a vector in place. returns ptr to vector vms_vector &vm_vec_scale (vms_vector &dest, fix s); //scales and copies a vector. returns ptr to dest vms_vector &vm_vec_copy_scale (vms_vector &dest, const vms_vector &src, fix s); //scales a vector, adds it to another, and stores in a 3rd vector //dest = src1 + k * src2 vms_vector &vm_vec_scale_add (vms_vector &dest, const vms_vector &src1, const vms_vector &src2, fix k); //scales a vector and adds it to another //dest += k * src vms_vector &vm_vec_scale_add2 (vms_vector &dest, const vms_vector &src, fix k); //scales a vector in place, taking n/d for scale. returns ptr to vector //dest *= n/d vms_vector &vm_vec_scale2 (vms_vector &dest, fix n, fix d); //returns magnitude of a vector fix vm_vec_mag (const vms_vector &v) __attribute_warn_unused_result; //computes the distance between two points. (does sub and mag) fix vm_vec_dist (const vms_vector &v0, const vms_vector &v1) __attribute_warn_unused_result; //computes an approximation of the magnitude of the vector //uses dist = largest + next_largest*3/8 + smallest*3/16 fix vm_vec_mag_quick (const vms_vector &v) __attribute_warn_unused_result; //computes an approximation of the distance between two points. //uses dist = largest + next_largest*3/8 + smallest*3/16 fix vm_vec_dist_quick (const vms_vector &v0, const vms_vector &v1) __attribute_warn_unused_result; //normalize a vector. returns mag of source vec fix vm_vec_copy_normalize (vms_vector * dest, const vms_vector * src); fix vm_vec_normalize (vms_vector &v); //normalize a vector. returns mag of source vec. uses approx mag fix vm_vec_copy_normalize_quick (vms_vector * dest, const vms_vector * src); fix vm_vec_normalize_quick (vms_vector &v); //return the normalized direction vector between two points //dest = normalized(end - start). Returns mag of direction vector //NOTE: the order of the parameters matches the vector subtraction fix vm_vec_normalized_dir (vms_vector * dest, const vms_vector * end, const vms_vector * start); fix vm_vec_normalized_dir_quick (vms_vector * dest, const vms_vector * end, const vms_vector * start); ////returns dot product of two vectors fix vm_vec_dot (const vms_vector &v0, const vms_vector &v1); //computes cross product of two vectors. returns ptr to dest //dest CANNOT equal either source vms_vector * vm_vec_crossprod (vms_vector * dest, const vms_vector * src0, const vms_vector * src1); #define vm_vec_cross(dest,src0,src1) vm_vec_crossprod((dest),(src0),(src1)) //computes surface normal from three points. result is normalized //returns ptr to dest //dest CANNOT equal either source vms_vector * vm_vec_normal (vms_vector * dest, const vms_vector * p0, const vms_vector * p1, const vms_vector * p2); //computes non-normalized surface normal from three points. //returns ptr to dest //dest CANNOT equal either source vms_vector * vm_vec_perp (vms_vector * dest, const vms_vector * p0, const vms_vector * p1, const vms_vector * p2); //computes the delta angle between two vectors. //vectors need not be normalized. if they are, call vm_vec_delta_ang_norm() //the forward vector (third parameter) can be NULL, in which case the absolute //value of the angle in returned. Otherwise the angle around that vector is //returned. fixang vm_vec_delta_ang (const vms_vector * v0, const vms_vector * v1, const vms_vector * fvec); //computes the delta angle between two normalized vectors. fixang vm_vec_delta_ang_norm (const vms_vector * v0, const vms_vector * v1, const vms_vector * fvec); //computes a matrix from a set of three angles. returns ptr to matrix vms_matrix * vm_angles_2_matrix (vms_matrix * m, const vms_angvec * a); //computes a matrix from a forward vector and an angle vms_matrix * vm_vec_ang_2_matrix (vms_matrix * m, const vms_vector * v, fixang a); //computes a matrix from one or more vectors. The forward vector is required, //with the other two being optional. If both up & right vectors are passed, //the up vector is used. If only the forward vector is passed, a bank of //zero is assumed //returns ptr to matrix vms_matrix * vm_vector_2_matrix (vms_matrix * m, vms_vector * fvec, vms_vector * uvec, vms_vector * rvec); //rotates a vector through a matrix. returns ptr to dest vector //dest CANNOT equal either source vms_vector * vm_vec_rotate (vms_vector * dest, const vms_vector * src, const vms_matrix * m); //transpose a matrix in place. returns ptr to matrix static inline void vm_transpose_matrix(vms_matrix &m) { using std::swap; swap(m.uvec.x, m.rvec.y); swap(m.fvec.x, m.rvec.z); swap(m.fvec.y, m.uvec.z); } static inline vms_matrix vm_transposed_matrix(vms_matrix m) __attribute_warn_unused_result; static inline vms_matrix vm_transposed_matrix(vms_matrix m) { vm_transpose_matrix(m); return m; } //mulitply 2 matrices, fill in dest. returns ptr to dest void vm_matrix_x_matrix (vms_matrix * dest, const vms_matrix * src0, const vms_matrix * src1); static inline vms_matrix vm_matrix_x_matrix(const vms_matrix &src0, const vms_matrix &src1) { vms_matrix dest; vm_matrix_x_matrix(&dest, &src0, &src1); return dest; } //extract angles from a matrix vms_angvec * vm_extract_angles_matrix (vms_angvec * a, const vms_matrix * m); //extract heading and pitch from a vector, assuming bank==0 vms_angvec * vm_extract_angles_vector (vms_angvec * a, const vms_vector * v); //compute the distance from a point to a plane. takes the normalized normal //of the plane (ebx), a point on the plane (edi), and the point to check (esi). //returns distance in eax //distance is signed, so negative dist is on the back of the plane fix vm_dist_to_plane (const vms_vector * checkp, const vms_vector * norm, const vms_vector * planep); //fills in fields of an angle vector static inline void vm_angvec_make(vms_angvec *v, fixang p, fixang b, fixang h) { v->p = p; v->b = b; v->h = h; } // convert from quaternion to vector matrix and back void vms_quaternion_from_matrix(vms_quaternion * q, const vms_matrix * m); void vms_matrix_from_quaternion(vms_matrix * m, const vms_quaternion * q); #endif #endif /* !_VECMAT_H */