Transform Cartesian to Polar/Spherical Coordinates and Vice Versa
Transform cartesian into polar coordinates, resp. to spherical coordinates and vice versa.
CartToPol(x, y) PolToCart(r, theta) CartToSph(x, y, z, up = TRUE) SphToCart(r, theta, phi, up = TRUE)
x, y, z |
vectors with the xy-coordianates to be transformed. |
r |
a vector with the radius of the points. |
theta |
a vector with the angle(s) of the points. |
phi |
a vector with the angle(s) of the points. |
up |
logical. If set to |
Angles are in radians, not degrees (i.e., a right angle is pi/2). Use DegToRad to convert,
if you don't wanna do it by yourself.
All parameters are recycled if necessary.
PolToCart returns a list of x and y coordinates of the points.
CartToPol returns a list of r for the radius and theta for the angles of the given points.
Andri Signorell <andri@signorell.net>, Christian W. Hoffmann <christian@echoffmann.ch>
CartToPol(x=1, y=1) CartToPol(x=c(1,2,3), y=c(1,1,1)) CartToPol(x=c(1,2,3), y=1) PolToCart(r=1, theta=pi/2) PolToCart(r=c(1,2,3), theta=pi/2) CartToSph(x=1, y=2, z=3) # r=3.741657, theta=0.930274, phi=1.107149
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