/* RCSid $Id: fvect.h,v 2.22 2021/12/13 21:05:00 greg Exp $ */ /* * Declarations for floating-point vector operations. */ #ifndef _RAD_FVECT_H_ #define _RAD_FVECT_H_ #ifdef __cplusplus extern "C" { #endif #ifdef SMLFLT #define RREAL float #define FTINY (1e-3) #define FVFORMAT "%f %f %f" #else #define RREAL double #define FTINY (1e-6) #define FVFORMAT "%lf %lf %lf" #endif #define FHUGE (1e10) #define FABSEQ(x1,x2) (fabs((x1)-(x2)) <= FTINY) #define FRELEQ(x1,x2) (fabs((x1)-(x2)) <= FTINY*0.5*(fabs(x1)+fabs(x2))) #define VABSEQ(v,w) (FABSEQ((v)[0],(w)[0]) && FABSEQ((v)[1],(w)[1]) \ && FABSEQ((v)[2],(w)[2])) #define VRELEQ(v,w) (FRELEQ((v)[0],(w)[0]) && FRELEQ((v)[1],(w)[1]) \ && FRELEQ((v)[2],(w)[2])) typedef RREAL FVECT[3]; #define VCOPY(v1,v2) ((v1)[0]=(v2)[0],(v1)[1]=(v2)[1],(v1)[2]=(v2)[2]) #define DOT(v1,v2) ((v1)[0]*(v2)[0]+(v1)[1]*(v2)[1]+(v1)[2]*(v2)[2]) #define VLEN(v) sqrt(DOT(v,v)) #define VADD(vr,v1,v2) ((vr)[0]=(v1)[0]+(v2)[0], \ (vr)[1]=(v1)[1]+(v2)[1], \ (vr)[2]=(v1)[2]+(v2)[2]) #define VSUB(vr,v1,v2) ((vr)[0]=(v1)[0]-(v2)[0], \ (vr)[1]=(v1)[1]-(v2)[1], \ (vr)[2]=(v1)[2]-(v2)[2]) #define VSUM(vr,v1,v2,f) ((vr)[0]=(v1)[0]+(f)*(v2)[0], \ (vr)[1]=(v1)[1]+(f)*(v2)[1], \ (vr)[2]=(v1)[2]+(f)*(v2)[2]) #define VLERP(vr,v1,a,v2) ((vr)[0]=(1.-(a))*(v1)[0]+(a)*(v2)[0], \ (vr)[1]=(1.-(a))*(v1)[1]+(a)*(v2)[1], \ (vr)[2]=(1.-(a))*(v1)[2]+(a)*(v2)[2]) #define VCROSS(vr,v1,v2) \ ((vr)[0]=(v1)[1]*(v2)[2]-(v1)[2]*(v2)[1], \ (vr)[1]=(v1)[2]*(v2)[0]-(v1)[0]*(v2)[2], \ (vr)[2]=(v1)[0]*(v2)[1]-(v1)[1]*(v2)[0]) #define GEOD_RAD 0 /* geodesic distance specified in radians */ #define GEOD_ABS 1 /* absolute geodesic distance */ #define GEOD_REL 2 /* relative geodesic distance */ extern double Acos(double x); extern double Asin(double x); extern double fdot(const FVECT v1, const FVECT v2); extern double dist2(const FVECT v1, const FVECT v2); extern double dist2line(const FVECT p, const FVECT ep1, const FVECT ep2); extern double dist2lseg(const FVECT p, const FVECT ep1, const FVECT ep2); extern void fcross(FVECT vres, const FVECT v1, const FVECT v2); extern void fvsum(FVECT vres, const FVECT v0, const FVECT v1, double f); extern double normalize(FVECT v); extern int getperpendicular(FVECT vp, const FVECT v, int randomize); extern int closestapproach(RREAL t[2], const FVECT rorg0, const FVECT rdir0, const FVECT rorg1, const FVECT rdir1); extern void spinvector(FVECT vres, const FVECT vorig, const FVECT vnorm, double theta); extern double geodesic(FVECT vres, const FVECT vorig, const FVECT vtarg, double t, int meas); /* defined in disk2square.c */ extern void SDsquare2disk(double ds[2], double seedx, double seedy); extern void SDdisk2square(double sq[2], double diskx, double disky); #ifdef __cplusplus } #endif #endif /* _RAD_FVECT_H_ */