📄 ifft.s
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;*********************************************************************
; *
; Software License Agreement *
; *
; The software supplied herewith by Microchip Technology *
; Incorporated (the "Company") for its dsPIC controller *
; is intended and supplied to you, the Company's customer, *
; for use solely and exclusively on Microchip dsPIC *
; products. The software is owned by the Company and/or its *
; supplier, and is protected under applicable copyright laws. All *
; rights are reserved. Any use in violation of the foregoing *
; restrictions may subject the user to criminal sanctions under *
; applicable laws, as well as to civil liability for the breach of *
; the terms and conditions of this license. *
; *
; THIS SOFTWARE IS PROVIDED IN AN "AS IS" CONDITION. NO *
; WARRANTIES, WHETHER EXPRESS, IMPLIED OR STATUTORY, INCLUDING, *
; BUT NOT LIMITED TO, IMPLIED WARRANTIES OF MERCHANTABILITY AND *
; FITNESS FOR A PARTICULAR PURPOSE APPLY TO THIS SOFTWARE. THE *
; COMPANY SHALL NOT, IN ANY CIRCUMSTANCES, BE LIABLE FOR SPECIAL, *
; INCIDENTAL OR CONSEQUENTIAL DAMAGES, FOR ANY REASON WHATSOEVER. *
; *
; (c) Copyright 2003 Microchip Technology, All rights reserved. *
;*********************************************************************
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;
; This Complex DIF IFFT implementation expects that the input data is a
; complex vector such that the magnitude of the real and imaginary parts
; of each of its elements is less than 0.5. If greater or equal to this
; value the results could produce saturation.
;
; Also, the program performs an implicit scaling of 1/2 for every stage
; to the intermediate values, so that the output values are scaled by a
; factor of 1/N, with N the length of the FFT (which is desired for the
; computation of the inverse transform).
;
; NOTE: input is expected in bit reverse ordering, while output is produced
; in natural (sequential) ordering.
;
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; Local inclusions.
.nolist
.list
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.section .libdsp, "x"
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;
; _IFFTComplexIP: Complex (in-place) DIF IFFT.
;
; Operation:
; F(k) = 1/N*sum_n (f(n)*WN(-kn)), WN(-kn) = exp[(j*2*pi*k*n)/N],
;
; n in {0, 1,... , N-1}, and
; k in {0, 1,... , N-1}, with N = 2^m.
;
; Input:
; w0 = number stages in FFT (log2NVal)
; w1 = ptr to complex source vector (srcCV)
; w2 = ptr to complex twiddle factors (twidFactors)
; w3 = COEFFS_IN_DATA, or memory program page with twiddle factors.
; Return:
; w0 = ptr to source vector (srcCV)
;
; NOTE: the complex source vector MUST be modulo 2*N word aligned for
; the implicit bit reverse operation to succeed.
;
; System resources usage:
; {w0,w3} used, not restored
; plus resources from FFTComplexIP and BitReverseComplex.
;
; DO and REPEAT instruction usage.
; no DO intructions
; no REPEAT intructions
;
; Program words (24-bit instructions):
; 11
; plus program words from FFTComplexIP and BitReverseComplex.
;
; Cycles (including C-function call and return overheads):
; 15
; plus cycles from FFTComplexIP and BitReverseComplex.
; NOTE that the FFTComplexIP and BitReverseComplex source codes report
; the number of cycles including C-function call overhead.
; Thus, the number of actual cycles from FFTComplexIP to add to IFFTComplexIP
; is 4 less than whatever number of cycles it takes a stand alone call
; to FFTComplexIP. Analogously, the number of cycles from BitReverseComplex
; is 2 less than a stand alone call to BitReverseComplex.
;............................................................................
; External symbols.
.extern _BitReverseComplex
.extern _FFTComplexIP
.global _IFFTComplexIP ; export
_IFFTComplexIP:
;............................................................................
; Save working registers.
; none to save...
;............................................................................
push w1 ; save return value (srcCV)
;............................................................................
; Compute IFFT using DIF FFT algorithm.
push w0 ; save log2NVal
push w1 ; save pointer to srcCV
call _FFTComplexIP
pop w1 ; restore pointer to srcCV
pop w0 ; restore log2NVal
; Finally, unscramble results back to natural order.
call _BitReverseComplex
;............................................................................
pop w0 ; restore return value
;............................................................................
; Restore working registers.
; none to restore...
;............................................................................
return
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.end
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; OEF
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