- :
`[`

`theta`,`r`] =**cart2pol**`(`

¶`x`,`y`) - :
`[`

`theta`,`r`,`z`] =**cart2pol**`(`

¶`x`,`y`,`z`) - :
`[`

`theta`,`r`] =**cart2pol**`(`

¶`C`) - :
`[`

`theta`,`r`,`z`] =**cart2pol**`(`

¶`C`) -
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 pair (`x`,`y`) or triplet (`x`,`y`,`z`).The outputs

`theta`,`r`(, and`z`) match the shape of the inputs. For a matrix input`C`the outputs will be column vectors with rows corresponding to the rows of the input matrix.`theta`describes the angle relative to the positive x-axis measured in the xy-plane.`r`is the distance to the z-axis (0, 0, z).`z`, if present, is unchanged by the transformation.The coordinate transformation is computed using:

`theta`= arctan (`y`/`x`)`r`= sqrt (`x`^2 +`y`^2)`z`=`z`Note: For MATLAB compatibility, this function no longer returns a full coordinate matrix when called with a single return argument.

- :
`[`

`x`,`y`] =**pol2cart**`(`

¶`theta`,`r`) - :
`[`

`x`,`y`,`z`] =**pol2cart**`(`

¶`theta`,`r`,`z`) - :
`[`

`x`,`y`] =**pol2cart**`(`

¶`P`) - :
`[`

`x`,`y`,`z`] =**pol2cart**`(`

¶`P`) 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 coordinate pair (`theta`,`r`) or the cylindrical triplet (`theta`,`r`,`z`).The outputs

`x`,`y`(, and`z`) match the shape of the inputs. For a matrix input`P`the outputs will be column vectors with rows corresponding to the rows of the input matrix.`theta`describes the angle relative to the positive x-axis measured in the xy-plane.`r`is the distance to the z-axis (0, 0, z).`z`, if present, is unchanged by the transformation.The coordinate transformation is computed using:

`x`=`r`* cos (`theta`)`y`=`r`* sin (`theta`)`z`=`z`Note: For MATLAB compatibility, this function no longer returns a full coordinate matrix when called with a single return argument.

- :
`[`

`theta`,`phi`,`r`] =**cart2sph**`(`

¶`x`,`y`,`z`) - :
`[`

`theta`,`phi`,`r`] =**cart2sph**`(`

¶`C`) 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`must represent a Cartesian coordinate triplet (`x`,`y`,`z`).The outputs

`theta`,`phi`,`r`match the shape of the inputs. For a matrix input`C`the outputs will be column vectors with rows corresponding to the rows of the input matrix.`theta`describes the azimuth angle relative to the positive x-axis measured in the xy-plane.`phi`is the elevation angle measured relative to the xy-plane.`r`is the distance to the origin (0, 0, 0).The coordinate transformation is computed using:

`theta`= arctan (`y`/`x`)`phi`= arctan (`z`/ sqrt (`x`^2 +`y`^2))`r`= sqrt (`x`^2 +`y`^2 +`z`^2)Note: For MATLAB compatibility, this function no longer returns a full coordinate matrix when called with a single return argument.

- :
`[`

`x`,`y`,`z`] =**sph2cart**`(`

¶`theta`,`phi`,`r`) - :
`[`

`x`,`y`,`z`] =**sph2cart**`(`

¶`S`) 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`must represent a spherical coordinate triplet (`theta`,`phi`,`r`).The outputs

`x`,`y`,`z`match the shape of the inputs. For a matrix input`S`the outputs are column vectors with rows corresponding to the rows of the input matrix.`theta`describes the azimuth angle relative to the positive x-axis measured in the xy-plane.`phi`is the elevation angle measured relative to the xy-plane.`r`is the distance to the origin (0, 0, 0).The coordinate transformation is computed using:

`x`= r * cos (`phi`) * cos (`theta`)`y`= r * cos (`phi`) * sin (`theta`)`z`= r * sin (`phi`)