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/****************************************************************************/
/* VECTMATH.H: include file for vector/matrix operations. */
/* */
/* Copyright (c) 1993 by Joshua E. Barnes, Honolulu, HI. */
/* It's free because it's yours. */
/****************************************************************************/
#ifndef THREEDIM
# ifndef TWODIM
# ifndef NDIM
# define THREEDIM
# endif
# endif
#endif
#ifdef TWODIM
# define NDIM 2
#endif
#ifdef THREEDIM
# define NDIM 3
#endif
typedef real vector[NDIM], matrix[NDIM][NDIM];
/*
* Vector operations.
*/
#define CLRV(v) /* CLeaR Vector */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] = 0.0; \
}
#define UNITV(v,j) /* UNIT Vector */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] = (_i == (j) ? 1.0 : 0.0); \
}
#define SETV(v,u) /* SET Vector */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] = (u)[_i]; \
}
#ifdef THREEDIM
#ifdef NO_PERF_CHANGES
#define ADDV(v,u,w) /* ADD Vector */ \
{ \
real *_vp = (v), *_up = (u), *_wp = (w); \
*_vp++ = (*_up++) + (*_wp++); \
*_vp++ = (*_up++) + (*_wp++); \
*_vp = (*_up ) + (*_wp ); \
}
#define SUBV(v,u,w) /* SUBtract Vector */ \
{ \
real *_vp = (v), *_up = (u), *_wp = (w); \
*_vp++ = (*_up++) - (*_wp++); \
*_vp++ = (*_up++) - (*_wp++); \
*_vp = (*_up ) - (*_wp ); \
}
#define MULVS(v,u,s) /* MULtiply Vector by Scalar */ \
{ \
real *_vp = (v), *_up = (u); \
*_vp++ = (*_up++) * (s); \
*_vp++ = (*_up++) * (s); \
*_vp = (*_up ) * (s); \
}
#else // NO_PERF_CHANGES
#define ADDV(v,u,w) /* ADD Vector */ \
{ \
real *_vp = (v), *_up = (u), *_wp = (w); \
_vp[2] = _up[2] + _wp[2]; \
_vp[1] = _up[1] + _wp[1]; \
_vp[0] = _up[0] + _wp[0]; \
}
#define SUBV(v,u,w) /* SUBtract Vector */ \
{ \
real *_vp = (v), *_up = (u), *_wp = (w); \
_vp[2] = _up[2] - _wp[2]; \
_vp[1] = _up[1] - _wp[1]; \
_vp[0] = _up[0] - _wp[0]; \
}
#define MULVS(v,u,s) /* MULtiply Vector by Scalar */ \
{ \
real *_vp = (v), *_up = (u); \
_vp[2] = (_up[2]) * (s); \
_vp[1] = (_up[1]) * (s); \
_vp[0] = (_up[0]) * (s); \
}
#endif // NO_PERF_CHANGES
#else
#define ADDV(v,u,w) /* ADD Vector */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] = (u)[_i] + (w)[_i]; \
}
#define SUBV(v,u,w) /* SUBtract Vector */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] = (u)[_i] - (w)[_i]; \
}
#define MULVS(v,u,s) /* MULtiply Vector by Scalar */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] = (u)[_i] * (s); \
}
#endif
#define DIVVS(v,u,s) /* DIVide Vector by Scalar */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] = (u)[_i] / (s); \
}
#ifdef THREEDIM
#ifdef NO_PERF_CHANGES
#define DOTVP(s,v,u) /* DOT Vector Product */ \
{ \
real *_vp = (v), *_up = (u); \
(s) = (*_vp++) * (*_up++); \
(s) += (*_vp++) * (*_up++); \
(s) += (*_vp ) * (*_up ); \
}
#else // NO_PERF_CHANGES
#define DOTVP(s,v,u) /* DOT Vector Product */ \
{ \
real *_vp = (v), *_up = (u); \
(s) = (_vp[2]) * (_up[2]); \
(s) += (_vp[1]) * (_up[1]); \
(s) += (_vp[0]) * (_up[0]); \
}
#endif // NO_PERF_CHANGES
#else
#define DOTVP(s,v,u) /* DOT Vector Product */ \
{ \
int _i; \
(s) = 0.0; \
for (_i = 0; _i < NDIM; _i++) \
(s) += (v)[_i] * (u)[_i]; \
}
#endif
#define ABSV(s,v) /* ABSolute value of a Vector */ \
{ \
real _tmp; \
int _i; \
_tmp = 0.0; \
for (_i = 0; _i < NDIM; _i++) \
_tmp += (v)[_i] * (v)[_i]; \
(s) = rsqrt(_tmp); \
}
#define DISTV(s,u,v) /* DISTance between Vectors */ \
{ \
real _tmp; \
int _i; \
_tmp = 0.0; \
for (_i = 0; _i < NDIM; _i++) \
_tmp += ((u)[_i]-(v)[_i]) * ((u)[_i]-(v)[_i]); \
(s) = rsqrt(_tmp); \
}
#ifdef TWODIM
#define CROSSVP(s,v,u) /* CROSS Vector Product */ \
{ \
(s) = (v)[0]*(u)[1] - (v)[1]*(u)[0]; \
}
#endif
#ifdef THREEDIM
#define CROSSVP(v,u,w) /* CROSS Vector Product */ \
{ \
(v)[0] = (u)[1]*(w)[2] - (u)[2]*(w)[1]; \
(v)[1] = (u)[2]*(w)[0] - (u)[0]*(w)[2]; \
(v)[2] = (u)[0]*(w)[1] - (u)[1]*(w)[0]; \
}
#endif
#define INCADDV(v,u) /* INCrementally ADD Vector */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] += (u)[_i]; \
}
#define INCSUBV(v,u) /* INCrementally SUBtract Vector */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] -= (u)[_i]; \
}
#define INCMULVS(v,s) /* INCrementally MULtiply Vector by Scalar */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] *= (s); \
}
#define INCDIVVS(v,s) /* INCrementally DIVide Vector by Scalar */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] /= (s); \
}
/*
* Matrix operations.
*/
#define CLRM(p) /* CLeaR Matrix */ \
{ \
int _i, _j; \
for (_i = 0; _i < NDIM; _i++) \
for (_j = 0; _j < NDIM; _j++) \
(p)[_i][_j] = 0.0; \
}
#define SETMI(p) /* SET Matrix to Identity */ \
{ \
int _i, _j; \
for (_i = 0; _i < NDIM; _i++) \
for (_j = 0; _j < NDIM; _j++) \
(p)[_i][_j] = (_i == _j ? 1.0 : 0.0); \
}
#define SETM(p,q) /* SET Matrix */ \
{ \
int _i, _j; \
for (_i = 0; _i < NDIM; _i++) \
for (_j = 0; _j < NDIM; _j++) \
(p)[_i][_j] = (q)[_i][_j]; \
}
#define TRANM(p,q) /* TRANspose Matrix */ \
{ \
int _i, _j; \
for (_i = 0; _i < NDIM; _i++) \
for (_j = 0; _j < NDIM; _j++) \
(p)[_i][_j] = (q)[_j][_i]; \
}
#define ADDM(p,q,r) /* ADD Matrix */ \
{ \
int _i, _j; \
for (_i = 0; _i < NDIM; _i++) \
for (_j = 0; _j < NDIM; _j++) \
(p)[_i][_j] = (q)[_i][_j] + (r)[_i][_j]; \
}
#define SUBM(p,q,r) /* SUBtract Matrix */ \
{ \
int _i, _j; \
for (_i = 0; _i < NDIM; _i++) \
for (_j = 0; _j < NDIM; _j++) \
(p)[_i][_j] = (q)[_i][_j] - (r)[_i][_j]; \
}
#define MULM(p,q,r) /* Multiply Matrix */ \
{ \
int _i, _j, _k; \
for (_i = 0; _i < NDIM; _i++) \
for (_j = 0; _j < NDIM; _j++) { \
(p)[_i][_j] = 0.0; \
for (_k = 0; _k < NDIM; _k++) \
(p)[_i][_j] += (q)[_i][_k] * (r)[_k][_j]; \
} \
}
#define MULMS(p,q,s) /* MULtiply Matrix by Scalar */ \
{ \
int _i, _j; \
for (_i = 0; _i < NDIM; _i++) \
for (_j = 0; _j < NDIM; _j++) \
(p)[_i][_j] = (q)[_i][_j] * (s); \
}
#define DIVMS(p,q,s) /* DIVide Matrix by Scalar */ \
{ \
int _i, _j; \
for (_i = 0; _i < NDIM; _i++) \
for (_j = 0; _j < NDIM; _j++) \
(p)[_i][_j] = (q)[_i][_j] / (s); \
}
#define MULMV(v,p,u) /* MULtiply Matrix by Vector */ \
{ \
int _i, _j; \
for (_i = 0; _i < NDIM; _i++) { \
(v)[_i] = 0.0; \
for (_j = 0; _j < NDIM; _j++) \
(v)[_i] += (p)[_i][_j] * (u)[_j]; \
} \
}
#define OUTVP(p,v,u) /* OUTer Vector Product */ \
{ \
int _i, _j; \
for (_i = 0; _i < NDIM; _i++) \
for (_j = 0; _j < NDIM; _j++) \
(p)[_i][_j] = (v)[_i] * (u)[_j]; \
}
#define TRACEM(s,p) /* TRACE of Matrix */ \
{ \
int _i; \
(s) = 0.0; \
for (_i = 0.0; _i < NDIM; _i++) \
(s) += (p)[_i][_i]; \
}
/*
* Misc. impure operations.
*/
#define SETVS(v,s) /* SET Vector to Scalar */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] = (s); \
}
#define ADDVS(v,u,s) /* ADD Vector and Scalar */ \
{ \
int _i; \
for (_i = 0; _i < NDIM; _i++) \
(v)[_i] = (u)[_i] + (s); \
}
#define SETMS(p,s) /* SET Matrix to Scalar */ \
{ \
int _i, _j; \
for (_i = 0; _i < NDIM; _i++) \
for (_j = 0; _j < NDIM; _j++) \
(p)[_i][_j] = (s); \
}
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