SpiceDouble vdistg_c ( ConstSpiceDouble * v1,
ConstSpiceDouble * v2,
SpiceInt ndim )
Return the distance between two vectors of arbitrary dimension.
None.
VECTOR
Variable I/O Description
-------- --- --------------------------------------------------
v1,
v2 I Two vectors of arbitrary dimension.
ndim I The common dimension of v1 and v2
The function returns the distance between v1 and v2.
v1,
v2 are two vectors of arbitrary dimension, the
distance between which is desired.
ndim is the common dimension of v1 and v2. ndim must be
non-negative and must not exceed the minimum of the
declared sizes of the actual arguments corresponding
to v1 and v2.
The function returns the distance between v1 and v2. This is
defined as
|| v1 - v2 ||,
where || x || indicates the Euclidean norm of the vector x.
If ndim is less than 1, the function value is set to 0..
None.
Error free.
None.
The Euclidean norm of an n-dimensional vector
(x , x , ... , x )
1 2 n
is defined as
1/2
2 2 2
( x + x + . . . + x ).
1 2 n
This number is the distance of the point (x, y, z) from the
origin. If n = 3, and A and B are two vectors whose components
are
( a[0], a[1], a[2] ) and ( b[0], b[1], b[2] ),
then the distance between A and B is the norm of the difference
A - B, which has components
( a[0] - b[0], a[1] - b[1], a[2] - b[2] ).
A related routine is vdist_c, which computes the distance between
two 3-vectors.
1) If v1 is
[ 2.0, 3.0 ]
and v2 is
[ 5.0, 7.0 ],
and ndim is 2, then
vdistg_c ( v1, v2, ndim );
will be 5.0.
None.
None.
N.J. Bachman (JPL)
E.D. Wright (JPL)
-CSPICE Version 1.1.0, 22-OCT-1998 (NJB)
Made input vectors const.
-CSPICE Version 1.0.0, 23-MAR-1998 (EDW)
distance between n-dimensional vectors
Link to routine vdistg_c source file vdistg_c.c
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