Programmer Guide/Command Reference/EVAL/complex arithmetic: Difference between revisions
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* 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. | * 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. | * 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. | ||
;complex -> complex: | ;complex -> complex: | ||
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| '''<code>''rc''=cp2r(''xc'')</code>''' || ... convert ''xc'' from polar (length, phase) to cartesian (real, imaginary) format | | '''<code>''rc''=cp2r(''xc'')</code>''' || ... convert ''xc'' from polar (length, phase) to cartesian (real, imaginary) format | ||
|} | |} | ||
;complex -> real: | ;complex -> real: | ||
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| '''<code>''r''=cget(''xc'',1)</code>''' || ... get imaginary part or phase of ''xc'' (depends on format of ''xc'') | | '''<code>''r''=cget(''xc'',1)</code>''' || ... get imaginary part or phase of ''xc'' (depends on format of ''xc'') | ||
|} | |} | ||
Revision as of 12:54, 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.
- complex -> complex
argument xc any complex type result rc same complex type as xc
rc=cr2p(xc)... convert xc from cartesian (real, imaginary) to polar (length, phase) format rc=cp2r(xc)... convert xc from polar (length, phase) to cartesian (real, imaginary) format
- complex -> real
argument xc any complex type result r same real type as xc
r=cr2len(xc)... compute length of xc; xc is stored in cartesian format r=cr2phi(xc)... compute phase of xc; xc is stored in cartesian format r=cget(xc,0)... get real part or length of xc (depends on format of xc) r=cget(xc,1)... get imaginary part or phase of xc (depends on format of xc)
- 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
