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/* RCSid $Id: fvect.h,v 2.22 2021/12/13 21:05:00 greg Exp $ */ |
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/* |
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* Declarations for floating-point vector operations. |
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*/ |
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#ifndef _RAD_FVECT_H_ |
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#define _RAD_FVECT_H_ |
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#ifdef __cplusplus |
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extern "C" { |
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#endif |
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|
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#ifdef SMLFLT |
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#define RREAL float |
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#define FTINY (1e-3) |
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#define FVFORMAT "%f %f %f" |
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#else |
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#define RREAL double |
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#define FTINY (1e-6) |
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#define FVFORMAT "%lf %lf %lf" |
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#endif |
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#define FHUGE (1e10) |
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|
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#define FABSEQ(x1,x2) (fabs((x1)-(x2)) <= FTINY) |
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#define FRELEQ(x1,x2) (fabs((x1)-(x2)) <= FTINY*0.5*(fabs(x1)+fabs(x2))) |
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|
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#define VABSEQ(v,w) (FABSEQ((v)[0],(w)[0]) && FABSEQ((v)[1],(w)[1]) \ |
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&& FABSEQ((v)[2],(w)[2])) |
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#define VRELEQ(v,w) (FRELEQ((v)[0],(w)[0]) && FRELEQ((v)[1],(w)[1]) \ |
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&& FRELEQ((v)[2],(w)[2])) |
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|
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typedef RREAL FVECT[3]; |
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|
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#define VCOPY(v1,v2) ((v1)[0]=(v2)[0],(v1)[1]=(v2)[1],(v1)[2]=(v2)[2]) |
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#define DOT(v1,v2) ((v1)[0]*(v2)[0]+(v1)[1]*(v2)[1]+(v1)[2]*(v2)[2]) |
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#define VLEN(v) sqrt(DOT(v,v)) |
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#define VADD(vr,v1,v2) ((vr)[0]=(v1)[0]+(v2)[0], \ |
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(vr)[1]=(v1)[1]+(v2)[1], \ |
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(vr)[2]=(v1)[2]+(v2)[2]) |
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#define VSUB(vr,v1,v2) ((vr)[0]=(v1)[0]-(v2)[0], \ |
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(vr)[1]=(v1)[1]-(v2)[1], \ |
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(vr)[2]=(v1)[2]-(v2)[2]) |
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#define VSUM(vr,v1,v2,f) ((vr)[0]=(v1)[0]+(f)*(v2)[0], \ |
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(vr)[1]=(v1)[1]+(f)*(v2)[1], \ |
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(vr)[2]=(v1)[2]+(f)*(v2)[2]) |
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#define VLERP(vr,v1,a,v2) ((vr)[0]=(1.-(a))*(v1)[0]+(a)*(v2)[0], \ |
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(vr)[1]=(1.-(a))*(v1)[1]+(a)*(v2)[1], \ |
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(vr)[2]=(1.-(a))*(v1)[2]+(a)*(v2)[2]) |
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#define VCROSS(vr,v1,v2) \ |
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((vr)[0]=(v1)[1]*(v2)[2]-(v1)[2]*(v2)[1], \ |
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(vr)[1]=(v1)[2]*(v2)[0]-(v1)[0]*(v2)[2], \ |
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(vr)[2]=(v1)[0]*(v2)[1]-(v1)[1]*(v2)[0]) |
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|
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#define GEOD_RAD 0 /* geodesic distance specified in radians */ |
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#define GEOD_ABS 1 /* absolute geodesic distance */ |
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#define GEOD_REL 2 /* relative geodesic distance */ |
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|
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extern double Acos(double x); |
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extern double Asin(double x); |
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extern double fdot(const FVECT v1, const FVECT v2); |
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extern double dist2(const FVECT v1, const FVECT v2); |
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extern double dist2line(const FVECT p, const FVECT ep1, const FVECT ep2); |
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extern double dist2lseg(const FVECT p, const FVECT ep1, const FVECT ep2); |
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extern void fcross(FVECT vres, const FVECT v1, const FVECT v2); |
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extern void fvsum(FVECT vres, const FVECT v0, const FVECT v1, double f); |
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extern double normalize(FVECT v); |
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extern int getperpendicular(FVECT vp, const FVECT v, int randomize); |
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extern int closestapproach(RREAL t[2], |
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const FVECT rorg0, const FVECT rdir0, |
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const FVECT rorg1, const FVECT rdir1); |
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extern void spinvector(FVECT vres, const FVECT vorig, |
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const FVECT vnorm, double theta); |
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extern double geodesic(FVECT vres, const FVECT vorig, |
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const FVECT vtarg, double t, int meas); |
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/* defined in disk2square.c */ |
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extern void square2disk(RREAL ds[2], double seedx, double seedy); |
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extern void disk2square(RREAL sq[2], double diskx, double disky); |
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#ifdef __cplusplus |
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} |
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#endif |
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#endif /* _RAD_FVECT_H_ */ |
