Programmer Guide/Command Reference/EVAL/complex arithmetic: Difference between revisions
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:;<code>''rc''=cset(''x'',''y'')</code>: Combine elements of ''x'' (real part or length) and ''y'' (imaginary part or phase) to a complex numbers | :;<code>''rc''=cset(''x'',''y'')</code>: Combine elements of ''x'' (real part or length) and ''y'' (imaginary part or phase) to a complex numbers | ||
; | ;multiplication (element-wise) | ||
:{|class="einrahmen" | :{|class="einrahmen" | ||
!argument ''xc'' | !argument ''xc'' | ||
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:;<code>''rc''=cmul(''n'',''xc'')</code>: Multiply each element of ''xc'' with the real or complex number ''n''. | :;<code>''rc''=cmul(''n'',''xc'')</code>: Multiply each element of ''xc'' with the real or complex number ''n''. | ||
:;<code>''rc''=cmul(''xc'',''yc'')</code>: Multiply ''xc'' and ''yc'' element by element. | :;<code>''rc''=cmul(''xc'',''yc'')</code>: Multiply ''xc'' and ''yc'' element by element. | ||
;vector and matrix multiplication | |||
:;<code>''rc''<sub>matrix</sub>=cmulv(''xc''<sub>vector</sub>,''yc''<sub>vector</sub>): Compute the tensor (or dyadic) product of the two complex vectors ''xc'' and ''yc''. | |||
:::<code>''rc''<sub>i,j</sub> = ''xc''<sub>i</sub> * ''yc''<sub>j</sub> | |||
;special functions | ;special functions | ||
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;See also: [[Programmer_Guide/Command_Reference/EVAL/fft|fft]], [[Programmer_Guide/Command_Reference/EVAL#complex numbers|complex numbers]] | |||
;See also: [[Programmer_Guide/Command_Reference/EVAL/ | |||
[[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]] | [[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]] | ||
Revision as of 13:49, 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.
rc=conj(xc)- Conjugate xc; xc must be in cartesian 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).
- real -> complex
argument x
any real type
argument y
same type as x
result rc
same complex type as x
rc=cset(x,y)- Combine elements of x (real part or length) and y (imaginary part or phase) to a complex numbers
- multiplication (element-wise)
argument xc
any complex type (re,im)
argument yc
same type as 'xc'
argument n
a real or complex number (re,im)
result rc
same complex type as xc
rc=cmul(xc,n)rc=cmul(n,xc)- Multiply each element of xc with the real or complex number n.
rc=cmul(xc,yc)- Multiply xc and yc element by element.
- vector and matrix multiplication
-
rcmatrix=cmulv(xcvector,ycvector): Compute the tensor (or dyadic) product of the two complex vectors xc and yc.
-
rci,j = xci * ycj
- special functions
-
rc=cdot(xc,yc)- the result rc (complex number) is the dot product of the complex vectors xc and yc
rc=ctrn(xc)- the result rc is transposed matrix of the complex matrix xc
- See also
- fft, complex numbers
