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@//
@//  Copyright (c) 2013 The WebRTC project authors. All Rights Reserved.
@//
@//  Use of this source code is governed by a BSD-style license
@//  that can be found in the LICENSE file in the root of the source
@//  tree. An additional intellectual property rights grant can be found
@//  in the file PATENTS.  All contributing project authors may
@//  be found in the AUTHORS file in the root of the source tree.
@//
@//  This file was originally licensed as follows. It has been
@//  relicensed with permission from the copyright holders.
@//

@// 
@// File Name:  armSP_FFTInv_CCSToR_S32_preTwiddleRadix2_unsafe_s.s
@// OpenMAX DL: v1.0.2
@// Last Modified Revision:   7485
@// Last Modified Date:       Fri, 21 Sep 2007
@// 
@// (c) Copyright 2007-2008 ARM Limited. All Rights Reserved.
@// 
@// 
@//
@// Description:
@// Compute the "preTwiddleRadix2" stage prior to the call to the complexFFT  
@// It does a Z(k) = Feven(k) + jW^(-k) FOdd(k); k=0,1,2,...N/2-1 computation
@// It implements both "scaled"(by 1/2) and "unsclaed" versions of the above formula
@// 

        
@// Include standard headers

#include "dl/api/armCOMM_s.h"
#include "dl/api/omxtypes_s.h"
        
        
@// Import symbols required from other files
@// (For example tables)
        
                
@// Set debugging level        
@//DEBUG_ON    SETL {TRUE}



@// Guarding implementation by the processor name
    
    
    
      @// Guarding implementation by the processor name
    
    
    
@//Input Registers

#define pSrc            r0
#define pDst            r1
#define pFFTSpec        r2
#define scale           r3


@// Output registers
#define result          r0

@//Local Scratch Registers

#define argTwiddle      r1
#define argDst          r2
#define argScale        r4
#define tmpOrder        r4
#define pTwiddle        r4
#define pOut            r5
#define subFFTSize      r7     
#define subFFTNum       r6
#define N               r6
#define order           r14
#define diff            r9
#define count           r8                   @// Total num of radix stages required to comple the FFT
#define x0r             r4    
#define x0i             r5
#define diffMinusOne    r2
#define round           r3

#define pOut1           r2
#define size            r7
#define step            r8            
#define step1           r9
#define twStep          r10
#define pTwiddleTmp     r11
#define argTwiddle1     r12
#define zero            r14

@// Neon registers

#define dX0     D0.S32
#define dShift  D1.S32
#define dX1     D1.S32
#define dY0     D2.S32
#define dY1     D3.S32
#define dX0r    D0.S32            
#define dX0i    D1.S32
#define dX1r    D2.S32
#define dX1i    D3.S32
#define dW0r    D4.S32
#define dW0i    D5.S32
#define dW1r    D6.S32
#define dW1i    D7.S32
#define dT0     D8.S32
#define dT1     D9.S32
#define dT2     D10.S32
#define dT3     D11.S32
#define qT0     Q6.S64
#define qT1     Q7.S64
#define qT2     Q8.S64
#define qT3     Q9.S64
#define dY0r    D4.S32
#define dY0i    D5.S32
#define dY1r    D6.S32
#define dY1i    D7.S32

#define dY2     D4.S32
#define dY3     D5.S32
#define dW0     D6.S32
#define dW1     D7.S32
#define dW0Tmp  D10.S32
#define dW1Neg  D11.S32


@ Structure offsets for the FFTSpec             
        .set    ARMsFFTSpec_N, 0
        .set    ARMsFFTSpec_pBitRev, 4
        .set    ARMsFFTSpec_pTwiddle, 8
        .set    ARMsFFTSpec_pBuf, 12


        .MACRO FFTSTAGE scaled, inverse, name
        
        @// Read the size from structure and take log
        LDR     N, [pFFTSpec, #ARMsFFTSpec_N]
        
        @// Read other structure parameters
        LDR     pTwiddle, [pFFTSpec, #ARMsFFTSpec_pTwiddle]
        LDR     pOut, [pFFTSpec, #ARMsFFTSpec_pBuf]
        
        
        
        MOV     size,N,ASR #1                    @// preserve the contents of N
        MOV     step,N,LSL #2                    @// step = N/2 * 8 bytes
        
        
        @// Z(k) = 1/2 {[F(k) +  F'(N/2-k)] +j*W^(-k) [F(k) -  F'(N/2-k)]}
        @// Note: W^(k) is stored as negated value and also need to conjugate the values from the table
        
        @// Z(0) : no need of twiddle multiply
        @// Z(0) = 1/2 { [F(0) +  F'(N/2)] +j [F(0) -  F'(N/2)] }
        
        VLD1    dX0,[pSrc],step
        ADD     pOut1,pOut,step                  @// pOut1 = pOut+ N/2*8 bytes 
                
        VLD1    dX1,[pSrc]!
        SUB     twStep,step,size,LSL #1          @// twStep = 3N/8 * 8 bytes pointing to W^1
        
        MOV     step1,size,LSL #2                @// step1 = N/4 * 8 = N/2*4 bytes
        SUB     step1,step1,#8                   @// (N/4-1)*8 bytes
        
        VHADD    dY0,dX0,dX1                     @// [b+d | a+c]
        VHSUB    dY1,dX0,dX1                     @// [b-d | a-c] 
        VZIP    dY0,dY1                          @// dY0= [a-c | a+c] ;dY1= [b-d | b+d] 
        
        .ifeqs  "\scaled", "TRUE"
            VHSUB   dX0,dY0,dY1
            SUBS    size,size,#2
            VHADD   dX1,dY0,dY1
        .else
            VSUB   dX0,dY0,dY1
            SUBS    size,size,#2
            VADD   dX1,dY0,dY1
        .endif
                    
        SUB     pSrc,pSrc,step
        
        VST1    dX0[0],[pOut1]!
        ADD     pTwiddleTmp,pTwiddle,#8                @// W^2
        VST1    dX1[1],[pOut1]!
        ADD     argTwiddle1,pTwiddle,twStep            @// W^1 
        
        
        BLT     decrementScale\name
        BEQ     lastElement\name
        
                        
        @// Z(k) = 1/2[F(k) +  F'(N/2-k)] +j*W^(-k) [F(k) -  F'(N/2-k)]
        @// Note: W^k is stored as negative values in the table and also need to conjugate the values from the table
        @// Process 4 elements at a time. E.g: Z(1),Z(2) and Z(N/2-2),Z(N/2-1) since both of them
        @// require F(1),F(2) and F(N/2-2),F(N/2-1)
        
        
        SUB     step,step,#24
evenOddButterflyLoop\name :     
        
        
        VLD1    dW0r,[argTwiddle1],step1
        VLD1    dW1r,[argTwiddle1]!
        
        VLD2    {dX0r,dX0i},[pSrc],step
        SUB     argTwiddle1,argTwiddle1,step1
        VLD2    {dX1r,dX1i},[pSrc]!
        
        SUB     step1,step1,#8                          @// (N/4-2)*8 bytes
        VLD1    dW0i,[pTwiddleTmp],step1
        VLD1    dW1i,[pTwiddleTmp]!
        SUB     pSrc,pSrc,step
        
        SUB     pTwiddleTmp,pTwiddleTmp,step1
        VREV64  dX1r,dX1r
        VREV64  dX1i,dX1i
        SUBS    size,size,#4
        
                        
        VHSUB    dT2,dX0r,dX1r                            @// a-c
        VHADD    dT3,dX0i,dX1i                            @// b+d
        SUB     step1,step1,#8
        VHADD    dT0,dX0r,dX1r                           @// a+c
        VHSUB    dT1,dX0i,dX1i                            @// b-d
        
        VZIP    dW1r,dW1i
        VZIP    dW0r,dW0i
        
                                
        VMULL   qT0,dW1r,dT2
        VMLSL   qT0,dW1i,dT3
        VMULL   qT1,dW1r,dT3
        VMLAL   qT1,dW1i,dT2
                    
        VMULL   qT2,dW0r,dT2
        VMLAL   qT2,dW0i,dT3
        VMULL   qT3,dW0r,dT3
        VMLSL   qT3,dW0i,dT2
        
        
        VRSHRN  dX1r,qT0,#31
        VRSHRN  dX1i,qT1,#31
        
        .ifeqs  "\scaled", "TRUE"
            VHADD    dY1r,dT0,dX1i                           @// F(N/2 -1)
            VHSUB    dY1i,dX1r,dT1
        .else
            VADD    dY1r,dT0,dX1i                           @// F(N/2 -1)
            VSUB    dY1i,dX1r,dT1

        .endif
        
        
        VREV64  dY1r,dY1r
        VREV64  dY1i,dY1i
        
                            
        VRSHRN  dX0r,qT2,#31
        VRSHRN  dX0i,qT3,#31
        
        .ifeqs  "\scaled", "TRUE"
            VHADD    dY0r,dT0,dX0i                           @// F(1)
            VHSUB    dY0i,dT1,dX0r
        .else
            VADD    dY0r,dT0,dX0i                           @// F(1)
            VSUB    dY0i,dT1,dX0r
        .endif
        
        
        VST2    {dY0r,dY0i},[pOut1],step
        VST2    {dY1r,dY1i},[pOut1]!
        SUB     pOut1,pOut1,step
        SUB     step,step,#32                            @// (N/2-4)*8 bytes
        
        
        BGT     evenOddButterflyLoop\name
        
        
        SUB     pSrc,pSrc,#8                @// set both the ptrs to the last element
        SUB     pOut1,pOut1,#8
        
        @// Last element can be expanded as follows
        @// 1/2[Z(k) + Z'(k)] - j w^-k [Z(k) - Z'(k)] (since W^k is stored as -ve)
        @// 1/2[(a+jb) + (a-jb)] - j w^-k [(a+jb) - (a-jb)]
        @// 1/2[2a+j0] - j (c-jd) [0+j2b]
        @// (a+bc, -bd)
        @// Since (c,d) = (0,1) for the last element, result is just (a,-b)
        
lastElement\name :      
        VLD1    dX0r,[pSrc]
        
        .ifeqs  "\scaled", "TRUE"
            VSHR    dX0r,dX0r,#1
        .endif
        
        VST1    dX0r[0],[pOut1]!
        VNEG    dX0r,dX0r
        VST1    dX0r[1],[pOut1]
        
        

decrementScale\name :          
        
        .ifeqs  "\scaled", "TRUE"
            SUB scale,scale,#1
        .endif
        
        .endm
        
        M_START armSP_FFTInv_CCSToR_S32_preTwiddleRadix2_unsafe,r4
                    
            FFTSTAGE "FALSE","TRUE",Inv
        M_END
        
        M_START armSP_FFTInv_CCSToR_S32_Sfs_preTwiddleRadix2_unsafe,r4
                    
            FFTSTAGE "TRUE","TRUE",InvSfs
        M_END

        
        .end