--- ray/src/common/fvect.h	2011/02/18 00:40:25	2.13
+++ ray/src/common/fvect.h	2014/12/04 05:26:27	2.17
@@ -1,4 +1,4 @@
-/* RCSid $Id: fvect.h,v 2.13 2011/02/18 00:40:25 greg Exp $ */
+/* RCSid $Id: fvect.h,v 2.17 2014/12/04 05:26:27 greg Exp $ */
 /*
  * Declarations for floating-point vector operations.
  */
@@ -11,9 +11,11 @@ extern "C" {
 #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)
 
@@ -36,7 +38,12 @@ typedef RREAL  FVECT[3];
 			(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);
@@ -44,13 +51,14 @@ extern double	dist2lseg(const FVECT p, const FVECT ep1
 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);
 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);
 #ifdef __cplusplus
 }
 #endif