(octave.info)Coordinate Transformations

---

Next: Mathematical Constants Prev: Rational Approximations Up: Arithmetic

---

Enter node , (file) or (file)node

17.8 Coordinate Transformations
===============================

 -- : [THETA, R] = cart2pol (X, Y)
 -- : [THETA, R, Z] = cart2pol (X, Y, Z)
 -- : [THETA, R] = cart2pol (C)
 -- : [THETA, R, Z] = cart2pol (C)
 -- : P = cart2pol (...)

     Transform Cartesian coordinates to polar or cylindrical
     coordinates.

     The inputs X, Y (, and Z) must be the same shape, or scalar.  If
     called with a single matrix argument then each row of C represents
     the Cartesian coordinate (X, Y (, Z)).

     THETA describes the angle relative to the positive x-axis.

     R is the distance to the z-axis (0, 0, z).

     If only a single return argument is requested then return a matrix
     P where each row represents one polar/(cylindrical) coordinate
     (THETA, PHI (, Z)).

     See also: Note: pol2cart, *note cart2sph:
     XREFcart2sph, Note: sph2cart.

 -- : [X, Y] = pol2cart (THETA, R)
 -- : [X, Y, Z] = pol2cart (THETA, R, Z)
 -- : [X, Y] = pol2cart (P)
 -- : [X, Y, Z] = pol2cart (P)
 -- : C = pol2cart (...)
     Transform polar or cylindrical coordinates to Cartesian
     coordinates.

     The inputs THETA, R, (and Z) must be the same shape, or scalar.  If
     called with a single matrix argument then each row of P represents
     the polar/(cylindrical) coordinate (THETA, R (, Z)).

     THETA describes the angle relative to the positive x-axis.

     R is the distance to the z-axis (0, 0, z).

     If only a single return argument is requested then return a matrix
     C where each row represents one Cartesian coordinate (X, Y (, Z)).

     See also: Note: cart2pol, *note sph2cart:
     XREFsph2cart, Note: cart2sph.

 -- : [THETA, PHI, R] = cart2sph (X, Y, Z)
 -- : [THETA, PHI, R] = cart2sph (C)
 -- : S = cart2sph (...)
     Transform Cartesian coordinates to spherical coordinates.

     The inputs X, Y, and Z must be the same shape, or scalar.  If
     called with a single matrix argument then each row of C represents
     the Cartesian coordinate (X, Y, Z).

     THETA describes the angle relative to the positive x-axis.

     PHI is the angle relative to the xy-plane.

     R is the distance to the origin (0, 0, 0).

     If only a single return argument is requested then return a matrix
     S where each row represents one spherical coordinate (THETA, PHI,
     R).

     See also: Note: sph2cart, *note cart2pol:
     XREFcart2pol, Note: pol2cart.

 -- : [X, Y, Z] = sph2cart (THETA, PHI, R)
 -- : [X, Y, Z] = sph2cart (S)
 -- : C = sph2cart (...)
     Transform spherical coordinates to Cartesian coordinates.

     The inputs THETA, PHI, and R must be the same shape, or scalar.  If
     called with a single matrix argument then each row of S represents
     the spherical coordinate (THETA, PHI, R).

     THETA describes the angle relative to the positive x-axis.

     PHI is the angle relative to the xy-plane.

     R is the distance to the origin (0, 0, 0).

     If only a single return argument is requested then return a matrix
     C where each row represents one Cartesian coordinate (X, Y, Z).

     See also: Note: cart2sph, *note pol2cart:
     XREFpol2cart, Note: cart2pol.