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[btb/d2x.git] / include / vecmat.h

/* $Id: vecmat.h,v 1.6 2004-08-28 23:17:45 schaffner Exp $ */
/*
   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"

//#define INLINE 1              //are some of these functions inline?

//The basic fixed-point vector.  Access elements by name or position
typedef struct vms_vector
{
        fix x, y, z;
}
__pack__ vms_vector;


typedef struct vms_vector_array
{
        fix xyz[3];
}
__pack__ vms_vector_array;


//Short vector, used for pre-rotation points.
//Access elements by name or position
typedef struct vms_svec
{
        short sv_x, sv_y, sv_z;
}
__pack__ vms_svec;


//Angle vector.  Used to store orientations
typedef struct vms_angvec
{
        fixang p, b, h;
}
__pack__ vms_angvec;


//A 3x3 rotation matrix.  Sorry about the numbering starting with one.
//Ordering is across then down, so <m1,m2,m3> is the first row
typedef struct vms_matrix
{
        vms_vector rvec, uvec, fvec;
}
__pack__ vms_matrix;


//Macros/functions to fill in fields of structures

//macro to check if vector is zero
#define IS_VEC_NULL(v) (v->x == 0 && v->y == 0 && v->z == 0)

//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
#define vm_vec_zero(v) (v)->x=(v)->y=(v)->z=0

//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.

#ifdef __unix__
static inline void vm_set_identity(vms_matrix *m)
{
        m->rvec.x = m->uvec.y = m->fvec.z = f1_0;
        m->rvec.y = m->rvec.z = m->uvec.x = m->uvec.z = m->fvec.x = m->fvec.y = 0;
}
#else
#define vm_set_identity(m) do {m->rvec.x = m->uvec.y = m->fvec.z = f1_0; \
        m->rvec.y = m->rvec.z = \
        m->uvec.x = m->uvec.z = \
        m->fvec.x = m->fvec.y = 0;} while (0)
#endif

// DPH (19/8/98): End changes.

vms_vector * vm_vec_make (vms_vector * v, fix x, fix y, fix z);


#ifdef __WATCOMC__
#pragma aux vm_vec_make "*_" parm [eax] [edx] [ebx] [ecx] value [eax] modify exact [] = \
"mov 0[eax],edx" \
"mov 4[eax],ebx" \
"mov 8[eax],ecx";

#endif

vms_angvec * vm_angvec_make (vms_angvec * v, fixang p, fixang b, fixang h);


#ifdef __WATCOMC__
#pragma aux vm_angvec_make "*_" parm [eax] [dx] [bx] [cx] value [eax] modify exact [] = \
"mov 0[eax],dx" \
"mov 2[eax],bx" \
"mov 4[eax],cx";

#endif

//Global constants

extern vms_vector vmd_zero_vector;

extern 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} }

//#define vm_vec_make(v,_x,_y,_z) (((v)->x=(_x), (v)->y=(_y), (v)->z=(_z)), (v))

//#pragma off (unreferenced)
////make this local, so compiler can in-line it
//static vms_vector *vm_vec_make(vms_vector *v,fix x,fix y,fix z)
//{
//      v->x = x;
//      v->y = y;
//      v->z = z;
//
//      return v;
//}
//#pragma on (unreferenced)


////macro to fill in elements of a matrix, also for Mike
/*
   #define vm_mat_make(m,_m1,_m2,_m3,_m4,_m5,_m6,_m7,_m8,_m9) \
   do { (m)->m1=(_m1); (m)->m2=(_m2); (m)->m3=(_m3); \
   (m)->m4=(_m4); (m)->m5=(_m5); (m)->m6=(_m6); \
   (m)->m7=(_m7); (m)->m8=(_m8); (m)->m9=(_m9);} while (0)
 */

#if 0               //kill this, since bogus with new matrix ordering

//macro to fill in elements of a matrix, also for Mike
#define vm_mat_make(m,_m1,_m2,_m3,_m4,_m5,_m6,_m7,_m8,_m9) \
(((m)->m1 = (_m1), (m)->m2 = (_m2), (m)->m3 = (_m3), \
  (m)->m4 = (_m4), (m)->m5 = (_m5), (m)->m6 = (_m6), \
  (m)->m7 = (_m7), (m)->m8 = (_m8), (m)->m9 = (_m9)), (m))

#endif /* 0 */

////fills in fields of an angle vector
//#define vm_angvec_make(v,_p,_b,_h) (((v)->p=(_p), (v)->b=(_b), (v)->h=(_h)), (v))

//negate a vector
#define vm_vec_negate(v) do {(v)->x = - (v)->x; (v)->y = - (v)->y; (v)->z = - (v)->z;} while (0);

//Functions in library

#ifndef INLINE

//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, vms_vector * src0, 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, vms_vector * src0, vms_vector * src1);


//adds one vector to another. returns ptr to dest
//dest can equal source
vms_vector * vm_vec_add2 (vms_vector * dest, vms_vector * src);


//subs one vector from another, returns ptr to dest
//dest can equal source
vms_vector * vm_vec_sub2 (vms_vector * dest, vms_vector * src);


#else   /* INLINE */

#define vm_vec_add(dest,src0,src1) do { \
(dest)->x = (src0)->x + (src1)->x;
\
(dest)->y = (src0)->y + (src1)->y;
\
(dest)->z = (src0)->z + (src1)->z;
\
}
while (0);


#define vm_vec_sub(dest,src0,src1) do { \
(dest)->x = (src0)->x - (src1)->x;
\
(dest)->y = (src0)->y - (src1)->y;
\
(dest)->z = (src0)->z - (src1)->z;
\
}
while (0);


#define vm_vec_add2(dest,src) do {  \
(dest)->x += (src)->x;
\
(dest)->y += (src)->y;
\
(dest)->z += (src)->z;
\
}
while (0);


#define vm_vec_sub2(dest,src) do {  \
(dest)->x -= (src)->x;
\
(dest)->y -= (src)->y;
\
(dest)->z -= (src)->z;
\
}
while (0);


#endif  /* INLINE */

//averages two vectors. returns ptr to dest
//dest can equal either source
vms_vector * vm_vec_avg (vms_vector * dest, vms_vector * src0, vms_vector * src1);


//averages four vectors. returns ptr to dest
//dest can equal any source
vms_vector * vm_vec_avg4 (vms_vector * dest, vms_vector * src0, vms_vector * src1, vms_vector * src2, vms_vector * src3);


//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, 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, vms_vector * src1, 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, 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 (vms_vector * v);


//computes the distance between two points. (does sub and mag)
fix vm_vec_dist (vms_vector * v0, vms_vector * v1);


//computes an approximation of the magnitude of the vector
//uses dist = largest + next_largest*3/8 + smallest*3/16
fix vm_vec_mag_quick (vms_vector * v);


//computes an approximation of the distance between two points.
//uses dist = largest + next_largest*3/8 + smallest*3/16
fix vm_vec_dist_quick (vms_vector * v0, vms_vector * v1);



//normalize a vector. returns mag of source vec
fix vm_vec_copy_normalize (vms_vector * dest, 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, 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, vms_vector * end, vms_vector * start);

fix vm_vec_normalized_dir_quick (vms_vector * dest, vms_vector * end, vms_vector * start);


////returns dot product of two vectors
fix vm_vec_dotprod (vms_vector * v0, vms_vector * v1);

#define vm_vec_dot(v0,v1) vm_vec_dotprod((v0),(v1))

#ifdef INLINE
#ifdef __WATCOMC__
#pragma aux vm_vec_dotprod parm [esi] [edi] value [eax] modify exact [eax ebx ecx edx] = \
"mov    eax,[esi]" \
"imul   dword ptr [edi]" \
"mov    ebx,eax" \
"mov    ecx,edx" \
\
"mov    eax,4[esi]" \
"imul   dword ptr 4[edi]" \
"add    ebx,eax" \
"adc    ecx,edx" \
\
"mov    eax,8[esi]" \
"imul   dword ptr 8[edi]" \
"add    eax,ebx" \
"adc    edx,ecx" \
\
"shrd   eax,edx,16";

#endif
#endif  /* INLINE */

//computes cross product of two vectors. returns ptr to dest
//dest CANNOT equal either source
vms_vector * vm_vec_crossprod (vms_vector * dest, vms_vector * src0, 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, vms_vector * p0, vms_vector * p1, 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, vms_vector * p0, vms_vector * p1, 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 (vms_vector * v0, vms_vector * v1, vms_vector * fvec);


//computes the delta angle between two normalized vectors.
fixang vm_vec_delta_ang_norm (vms_vector * v0, vms_vector * v1, 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, vms_angvec * a);


//computes a matrix from a forward vector and an angle
vms_matrix * vm_vec_ang_2_matrix (vms_matrix * m, 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);


//this version of vector_2_matrix requires that the vectors be more-or-less
//normalized and close to perpendicular
vms_matrix * vm_vector_2_matrix_norm (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, vms_vector * src, vms_matrix * m);


//transpose a matrix in place. returns ptr to matrix
vms_matrix * vm_transpose_matrix (vms_matrix * m);

#define vm_transpose(m) vm_transpose_matrix(m)

//copy and transpose a matrix. returns ptr to matrix
//dest CANNOT equal source. use vm_transpose_matrix() if this is the case
vms_matrix * vm_copy_transpose_matrix (vms_matrix * dest, vms_matrix * src);

#define vm_copy_transpose(dest,src) vm_copy_transpose_matrix((dest),(src))

//mulitply 2 matrices, fill in dest.  returns ptr to dest
//dest CANNOT equal either source
vms_matrix * vm_matrix_x_matrix (vms_matrix * dest, vms_matrix * src0, vms_matrix * src1);


//extract angles from a matrix
vms_angvec * vm_extract_angles_matrix (vms_angvec * a, vms_matrix * m);


//extract heading and pitch from a vector, assuming bank==0
vms_angvec * vm_extract_angles_vector (vms_angvec * a, 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 (vms_vector * checkp, vms_vector * norm, vms_vector * planep);


//fills in fields of an angle vector
#define vm_angvec_make(v,_p,_b,_h) (((v)->p=(_p), (v)->b=(_b), (v)->h=(_h)), (v))
#endif  /* !_VECMAT_H */