sph2cart

Converts spherical coordinates to Cartesian.

Syntax

[x,y,z] = sph2cart(theta, phi, r)

[x,y,z] = sph2cart(S)

C = sph2cart(...)

Inputs

theta, phi, r
Spherical coordinates. See Comments.
Type: double
Dimension: scalar | vector
S
An array or matrix containing spherical coordinates.
Type: double
Dimension: vector | matrix

Outputs

x,y,z
Cartesian coordinates.
C
An array or matrix containing Cartesian coordinates.

Examples

Single return sph2cart example:
C = sph2cart([pi/4,pi/3,1;pi/2,pi/6,3])
C = [Matrix] 2 x 3
6.12372e-01  6.12372e-01  5.00000e-01
9.18485e-17  1.50000e+00  2.59808e+00
Multiple return sph2cart example:
[x,y,z] = sph2cart([pi,pi/3,pi/4],pi/6,[2,3,4])
x = [Matrix] 1 x 3
-1.00000  0.75000  1.41421
y = [Matrix] 1 x 3
1.22465e-16  1.29904e+00  1.41421e+00
z = [Matrix] 1 x 3
1.73205  2.59808  3.46410

Comments

When a matrix contains multiple points the coordinates are stored by row.

theta is the angle in the xy-plane measured from the positive x-axis.

phi is the angle measured from the positive z-axis.