Programmer Guide/Command Reference/EVAL/complex arithmetic: Difference between revisions
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{{DISPLAYTITLE:complex arithemtic}} | {{DISPLAYTITLE:complex arithemtic}} | ||
Because the current version of the {{STX}} [[Programmer_Guide/Command_Reference/EVAL|EVAL command]] do not support a complex data type, a package of functions is used to implement arithmetic and special handling for [[Programmer_Guide/Command_Reference/EVAL#complex numbers|complex numbers]. | Because the current version of the {{STX}} [[Programmer_Guide/Command_Reference/EVAL|EVAL command]] do not support a complex data type, a package of functions is used to implement arithmetic and special handling for [[Programmer_Guide/Command_Reference/EVAL#complex numbers|complex numbers]]. | ||
Note: | |||
* A numerical object containing '''N x M''' complex numbers (N>=1, M>=1), consists of 2N rows and M columns, because each complex number uses two cells of a row. | |||
* If a numerical object containing '''N x M''' complex numbers, is converted element-wise to real numbers, the resulting object consists of N rows and M columns. | |||
<sub>real</sub> | |||
<sub>imag</sub> | |||
<sub>length</sub> | |||
<sub>phase</sub> | |||
{| class="einrahmen" | |||
! usage !! description !! arguments !! data type of ''r'' | |||
| '''<code>''r'' = cr2p(''x'')</code>''' | |||
| convert from cartesian (''x''<sub>real</sub>, ''x''<sub>imag</sub>) to polar format (''x''<sub>length</sub>, ''x''<sub>phase</sub>) | |||
| ''x'' ... any complex type | |||
| same type as ''x'' | |||
|- | |||
|} | |||
:;<var>xc</var>: a complex scalar, vector or matrix in cartesian format (real part, imaginary part) | |||
;Result: same type as ''xc'', but the complex numbers are stored in the polar format (length, phase) | |||
;Usage: '''<code>cp2r(<var>xc</var>)</code>''' ... convert from polar to cartesian format | |||
:;<var>xc</var>: a complex scalar, vector or matrix in polar format (length, phase) | |||
;Result: same type as ''xc'', but the complex numbers are stored in the cartesian format (real part, imaginary part) | |||
;Usage: '''<code>cr2len(<var>xc</var>)</code>''' ... convert cartesian format to length (amplitude) | |||
:;<var>xc</var>: a complex scalar, vector or matrix in polar format (length, phase) | |||
;Result: same type as ''xc'', but the complex numbers are stored in the cartesian format (real part, imaginary part) | |||
r with same length as ''x'' containing the converted window function | r with same length as ''x'' containing the converted window function | ||
Revision as of 12:19, 7 April 2011
Because the current version of the STx EVAL command do not support a complex data type, a package of functions is used to implement arithmetic and special handling for complex numbers.
Note:
- A numerical object containing N x M complex numbers (N>=1, M>=1), consists of 2N rows and M columns, because each complex number uses two cells of a row.
- If a numerical object containing N x M complex numbers, is converted element-wise to real numbers, the resulting object consists of N rows and M columns.
real imag length phase
| usage | description | arguments | data type of r | r = cr2p(x)
|
convert from cartesian (xreal, ximag) to polar format (xlength, xphase) | x ... any complex type | same type as x |
|---|
- xc
- a complex scalar, vector or matrix in cartesian format (real part, imaginary part)
- Result
- same type as xc, but the complex numbers are stored in the polar format (length, phase)
- Usage
cp2r(xc)... convert from polar to cartesian format- xc
- a complex scalar, vector or matrix in polar format (length, phase)
- Result
- same type as xc, but the complex numbers are stored in the cartesian format (real part, imaginary part)
- Usage
cr2len(xc)... convert cartesian format to length (amplitude)- xc
- a complex scalar, vector or matrix in polar format (length, phase)
- Result
- same type as xc, but the complex numbers are stored in the cartesian format (real part, imaginary part)
r with same length as x containing the converted window function
cr2p
Convert Cartesian coordinates to Polar coordinates
Usage:
cr2p(xC)
Return Type:
like xC
complex numbers
