3274 lines
94 KiB
C
3274 lines
94 KiB
C
/*
|
|
* Copyright (C) 2008-2009 SVOX AG, Baslerstr. 30, 8048 Zuerich, Switzerland
|
|
*
|
|
* Licensed under the Apache License, Version 2.0 (the "License");
|
|
* you may not use this file except in compliance with the License.
|
|
* You may obtain a copy of the License at
|
|
*
|
|
* http://www.apache.org/licenses/LICENSE-2.0
|
|
*
|
|
* Unless required by applicable law or agreed to in writing, software
|
|
* distributed under the License is distributed on an "AS IS" BASIS,
|
|
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
|
* See the License for the specific language governing permissions and
|
|
* limitations under the License.
|
|
*/
|
|
/**
|
|
* @file picofftsg.c
|
|
*
|
|
* FFT/DCT related data types, constants and functions in Pico
|
|
*
|
|
* Copyright (C) 2008-2009 SVOX AG, Baslerstr. 30, 8048 Zuerich, Switzerland
|
|
* All rights reserved.
|
|
*
|
|
* History:
|
|
* - 2009-04-20 -- initial version
|
|
*
|
|
*/
|
|
|
|
#include "picoos.h"
|
|
#include "picofftsg.h"
|
|
#include "picodbg.h"
|
|
|
|
#ifdef __cplusplus
|
|
extern "C" {
|
|
#endif
|
|
|
|
/**
|
|
* @addtogroup picofft
|
|
* ---------------------------------------------------\n
|
|
* <b> Fast Fourier/Cosine/Sine Transform </b>\n
|
|
* Adapted from http://www.kurims.kyoto-u.ac.jp/~ooura/fft.html (Copyright Takuya OOURA, 1996-2001)\n
|
|
* ---------------------------------------------------\n
|
|
|
|
Overall features
|
|
- dimension :one
|
|
- data length :power of 2
|
|
- decimation :frequency
|
|
- radix :split-radix
|
|
- data :inplace
|
|
- table :not use
|
|
|
|
functions
|
|
- cdft: Complex Discrete Fourier Transform
|
|
- rdft: Real Discrete Fourier Transform
|
|
- ddct: Discrete Cosine Transform
|
|
- ddst: Discrete Sine Transform
|
|
- dfct: Cosine Transform of RDFT (Real Symmetric DFT)
|
|
- dfst: Sine Transform of RDFT (Real Anti-symmetric DFT)
|
|
|
|
function prototypes
|
|
- void cdft(picoos_int32, picoos_int32, PICOFFTSG_FFTTYPE *);
|
|
- void rdft(picoos_int32, picoos_int32, PICOFFTSG_FFTTYPE *);
|
|
- void ddct(picoos_int32, picoos_int32, PICOFFTSG_FFTTYPE *);
|
|
- void ddst(picoos_int32, picoos_int32, PICOFFTSG_FFTTYPE *);
|
|
- void dfct(picoos_int32, PICOFFTSG_FFTTYPE *);
|
|
- void dfst(picoos_int32, PICOFFTSG_FFTTYPE *);
|
|
|
|
<b>Complex DFT (Discrete Fourier Transform)</b>
|
|
|
|
[definition]
|
|
- <case1>
|
|
- X[k] = sum_j=0^n-1 x[j]*exp(2*pi*i*j*k/n), 0<=k<n
|
|
- <case2>
|
|
- X[k] = sum_j=0^n-1 x[j]*exp(-2*pi*i*j*k/n), 0<=k<n
|
|
- (notes: sum_j=0^n-1 is a summation from j=0 to n-1)
|
|
|
|
[usage]
|
|
- <case1>
|
|
- cdft(2*n, 1, a);
|
|
- <case2>
|
|
- cdft(2*n, -1, a);
|
|
|
|
[parameters]
|
|
- 2*n :data length (picoos_int32)
|
|
- n >= 1, n = power of 2
|
|
- a[0...2*n-1] :input/output data (PICOFFTSG_FFTTYPE *)
|
|
- input data
|
|
- a[2*j] = Re(x[j]),
|
|
- a[2*j+1] = Im(x[j]), 0<=j<n
|
|
- output data
|
|
- a[2*k] = Re(X[k]),
|
|
- a[2*k+1] = Im(X[k]), 0<=k<n
|
|
|
|
[remark]
|
|
- Inverse of cdft(2*n, -1, a); is
|
|
-cdft(2*n, 1, a);
|
|
- for (j = 0; j <= 2 * n - 1; j++) {
|
|
- a[j] *= 1.0 / n;
|
|
- }
|
|
|
|
|
|
<b> Real DFT / Inverse of Real DFT </b>
|
|
|
|
[definition]
|
|
- <case1> RDFT
|
|
- R[k] = sum_j=0^n-1 a[j]*cos(2*pi*j*k/n), 0<=k<=n/2
|
|
- I[k] = sum_j=0^n-1 a[j]*sin(2*pi*j*k/n), 0<k<n/2
|
|
- <case2> IRDFT (excluding scale)
|
|
- a[k] = (R[0] + R[n/2]*cos(pi*k))/2 +
|
|
- sum_j=1^n/2-1 R[j]*cos(2*pi*j*k/n) +
|
|
- sum_j=1^n/2-1 I[j]*sin(2*pi*j*k/n), 0<=k<n
|
|
|
|
[usage]
|
|
- <case1>
|
|
- rdft(n, 1, a);
|
|
- <case2>
|
|
- rdft(n, -1, a);
|
|
|
|
[parameters]
|
|
- n :data length (picoos_int32)
|
|
- n >= 2, n = power of 2
|
|
- a[0...n-1] :input/output data (PICOFFTSG_FFTTYPE *)
|
|
- <case1>
|
|
- output data
|
|
- a[2*k] = R[k], 0<=k<n/2
|
|
- a[2*k+1] = I[k], 0<k<n/2
|
|
- a[1] = R[n/2]
|
|
- <case2>
|
|
- input data
|
|
- a[2*j] = R[j], 0<=j<n/2
|
|
- a[2*j+1] = I[j], 0<j<n/2
|
|
- a[1] = R[n/2]
|
|
|
|
[remark]
|
|
- Inverse of rdft(n, 1, a); is
|
|
- rdft(n, -1, a);
|
|
- for (j = 0; j <= n - 1; j++) {
|
|
- a[j] *= 2.0 / n;
|
|
-}
|
|
|
|
|
|
<b> DCT (Discrete Cosine Transform) / Inverse of DCT</b>
|
|
|
|
[definition]
|
|
- <case1> IDCT (excluding scale)
|
|
- C[k] = sum_j=0^n-1 a[j]*cos(pi*j*(k+1/2)/n), 0<=k<n
|
|
- <case2> DCT
|
|
- C[k] = sum_j=0^n-1 a[j]*cos(pi*(j+1/2)*k/n), 0<=k<n
|
|
|
|
[usage]
|
|
- <case1>
|
|
- ddct(n, 1, a);
|
|
- <case2>
|
|
- ddct(n, -1, a);
|
|
|
|
[parameters]
|
|
- n :data length (picoos_int32)
|
|
- n >= 2, n = power of 2
|
|
- a[0...n-1] :input/output data (PICOFFTSG_FFTTYPE *)
|
|
- output data
|
|
- a[k] = C[k], 0<=k<n
|
|
|
|
[remark]
|
|
- Inverse of ddct(n, -1, a); is
|
|
- a[0] *= 0.5;
|
|
- ddct(n, 1, a);
|
|
- for (j = 0; j <= n - 1; j++) {
|
|
- a[j] *= 2.0 / n;
|
|
- }
|
|
|
|
<b> DST (Discrete Sine Transform) / Inverse of DST</b>
|
|
|
|
[definition]
|
|
- <case1> IDST (excluding scale)
|
|
- S[k] = sum_j=1^n A[j]*sin(pi*j*(k+1/2)/n), 0<=k<n
|
|
- <case2> DST
|
|
- S[k] = sum_j=0^n-1 a[j]*sin(pi*(j+1/2)*k/n), 0<k<=n
|
|
|
|
[usage]
|
|
- <case1>
|
|
- ddst(n, 1, a);
|
|
- <case2>
|
|
- ddst(n, -1, a);
|
|
|
|
[parameters]
|
|
- n :data length (picoos_int32)
|
|
- n >= 2, n = power of 2
|
|
- a[0...n-1] :input/output data (PICOFFTSG_FFTTYPE *)
|
|
- <case1>
|
|
- input data
|
|
- a[j] = A[j], 0<j<n
|
|
- a[0] = A[n]
|
|
- output data
|
|
- a[k] = S[k], 0<=k<n
|
|
- <case2>
|
|
- output data
|
|
- a[k] = S[k], 0<k<n
|
|
- a[0] = S[n]
|
|
|
|
[remark]
|
|
- Inverse of ddst(n, -1, a); is
|
|
- a[0] *= 0.5;
|
|
- ddst(n, 1, a);
|
|
- for (j = 0; j <= n - 1; j++) {
|
|
- a[j] *= 2.0 / n;
|
|
- }
|
|
|
|
<b> Cosine Transform of RDFT (Real Symmetric DFT)</b>
|
|
|
|
[definition]
|
|
- C[k] = sum_j=0^n a[j]*cos(pi*j*k/n), 0<=k<=n
|
|
|
|
[usage]
|
|
- dfct(n, a);
|
|
|
|
[parameters]
|
|
- n :data length - 1 (picoos_int32)
|
|
- n >= 2, n = power of 2
|
|
- a[0...n] :input/output data (PICOFFTSG_FFTTYPE *)
|
|
|
|
- output data
|
|
- a[k] = C[k], 0<=k<=n
|
|
|
|
[remark]
|
|
- Inverse of a[0] *= 0.5; a[n] *= 0.5; dfct(n, a); is
|
|
- a[0] *= 0.5;
|
|
- a[n] *= 0.5;
|
|
- dfct(n, a);
|
|
- for (j = 0; j <= n; j++) {
|
|
- a[j] *= 2.0 / n;
|
|
- }
|
|
|
|
<b> Sine Transform of RDFT (Real Anti-symmetric DFT)</b>
|
|
|
|
[definition]
|
|
- S[k] = sum_j=1^n-1 a[j]*sin(pi*j*k/n), 0<k<n
|
|
|
|
[usage]
|
|
- dfst(n, a);
|
|
|
|
[parameters]
|
|
- n :data length + 1 (picoos_int32)
|
|
- n >= 2, n = power of 2
|
|
- a[0...n-1] :input/output data (PICOFFTSG_FFTTYPE *)
|
|
- output data
|
|
- a[k] = S[k], 0<k<n
|
|
- (a[0] is used for work area)
|
|
|
|
[remark]
|
|
- Inverse of dfst(n, a); is
|
|
- dfst(n, a);
|
|
- for (j = 1; j <= n - 1; j++) {
|
|
- a[j] *= 2.0 / n;
|
|
- }
|
|
|
|
*/
|
|
|
|
/* fixed point multiplier for weights */
|
|
#define PICODSP_WGT_SHIFT (0x20000000) /* 2^29 */
|
|
#define PICOFFTSG_WGT_SHIFT2 (0x10000000) /* PICODSP_WGT_SHIFT/2 */
|
|
#define PICOFFTSG_WGT_N_SHIFT (29) /* 2^29 */
|
|
/* fixed point known constants */
|
|
#ifndef WR5000 /* cos(M_PI_2*0.5000) */
|
|
#define WR5000 (PICOFFTSG_FFTTYPE)(0.707106781186547524400844362104849039284835937688*PICODSP_WGT_SHIFT)
|
|
#ifndef WR2500 /* cos(M_PI_2*0.2500) */
|
|
#define WR2500 (PICOFFTSG_FFTTYPE)(0.923879532511286756128183189396788286822416625863*PICODSP_WGT_SHIFT)
|
|
#endif
|
|
#ifndef WI2500 /* sin(M_PI_2*0.2500) */
|
|
#define WI2500 (PICOFFTSG_FFTTYPE)(0.382683432365089771728459984030398866761344562485*PICODSP_WGT_SHIFT)
|
|
#endif
|
|
#ifndef WR1250 /* cos(M_PI_2*0.1250) */
|
|
#define WR1250 (PICOFFTSG_FFTTYPE)(0.980785280403230449126182236134239036973933730893*PICODSP_WGT_SHIFT)
|
|
#endif
|
|
#ifndef WI1250 /* sin(M_PI_2*0.1250) */
|
|
#define WI1250 (PICOFFTSG_FFTTYPE)(0.195090322016128267848284868477022240927691617751*PICODSP_WGT_SHIFT)
|
|
#endif
|
|
#ifndef WR3750 /* cos(M_PI_2*0.3750) */
|
|
#define WR3750 (PICOFFTSG_FFTTYPE)(0.831469612302545237078788377617905756738560811987*PICODSP_WGT_SHIFT)
|
|
#endif
|
|
#ifndef WI3750 /* sin(M_PI_2*0.3750) */
|
|
#define WI3750 (PICOFFTSG_FFTTYPE)(0.555570233019602224742830813948532874374937190754*PICODSP_WGT_SHIFT)
|
|
#endif
|
|
|
|
#else
|
|
|
|
/*#ifndef M_PI_2
|
|
#define M_PI_2 (PICOFFTSG_FFTTYPE)1.570796326794896619231321691639751442098584699687
|
|
#endif*/
|
|
#ifndef WR5000 /* cos(M_PI_2*0.5000) */
|
|
#define WR5000 (PICOFFTSG_FFTTYPE)0.707106781186547524400844362104849039284835937688
|
|
#endif
|
|
#ifndef WR2500 /* cos(M_PI_2*0.2500) */
|
|
#define WR2500 (PICOFFTSG_FFTTYPE)0.923879532511286756128183189396788286822416625863
|
|
#endif
|
|
#ifndef WI2500 /* sin(M_PI_2*0.2500) */
|
|
#define WI2500 (PICOFFTSG_FFTTYPE)0.382683432365089771728459984030398866761344562485
|
|
#endif
|
|
#ifndef WR1250 /* cos(M_PI_2*0.1250) */
|
|
#define WR1250 (PICOFFTSG_FFTTYPE)0.980785280403230449126182236134239036973933730893
|
|
#endif
|
|
#ifndef WI1250 /* sin(M_PI_2*0.1250) */
|
|
#define WI1250 (PICOFFTSG_FFTTYPE)0.195090322016128267848284868477022240927691617751
|
|
#endif
|
|
#ifndef WR3750 /* cos(M_PI_2*0.3750) */
|
|
#define WR3750 (PICOFFTSG_FFTTYPE)0.831469612302545237078788377617905756738560811987
|
|
#endif
|
|
#ifndef WI3750 /* sin(M_PI_2*0.3750) */
|
|
#define WI3750 (PICOFFTSG_FFTTYPE)0.555570233019602224742830813948532874374937190754
|
|
#endif
|
|
|
|
#endif
|
|
|
|
#ifndef CDFT_LOOP_DIV /* control of the CDFT's speed & tolerance */
|
|
#define CDFT_LOOP_DIV 32
|
|
#define CDFT_LOOP_DIV_4 128
|
|
#endif
|
|
|
|
#ifndef RDFT_LOOP_DIV /* control of the RDFT's speed & tolerance */
|
|
#define RDFT_LOOP_DIV 64
|
|
#define RDFT_LOOP_DIV4 256
|
|
#define RDFT_LOOP_DIV_4 256
|
|
#endif
|
|
|
|
#ifndef DCST_LOOP_DIV /* control of the DCT,DST's speed & tolerance */
|
|
#define DCST_LOOP_DIV 64
|
|
#define DCST_LOOP_DIV2 128
|
|
#endif
|
|
|
|
|
|
#define POW1 (0x1)
|
|
#define POW2 (0x2)
|
|
#define POW3 (0x4)
|
|
#define POW4 (0x8)
|
|
#define POW5 (0x10)
|
|
#define POW6 (0x20)
|
|
#define POW7 (0x40)
|
|
#define POW8 (0x80)
|
|
#define POW9 (0x100)
|
|
#define POW10 (0x200)
|
|
#define POW11 (0x400)
|
|
#define POW12 (0x800)
|
|
#define POW13 (0x1000)
|
|
#define POW14 (0x2000)
|
|
#define POW15 (0x4000)
|
|
#define POW16 (0x8000)
|
|
#define POW17 (0x10000)
|
|
#define POW18 (0x20000)
|
|
#define POW19 (0x40000)
|
|
#define POW20 (0x80000)
|
|
#define POW21 (0x100000)
|
|
#define POW22 (0x200000)
|
|
#define POW23 (0x400000)
|
|
#define POW24 (0x800000)
|
|
#define POW25 (0x1000000)
|
|
#define POW26 (0x2000000)
|
|
#define POW27 (0x4000000)
|
|
#define POW28 (0x8000000)
|
|
#define POW29 (0x10000000)
|
|
#define POW30 (0x20000000)
|
|
#define POW31 (0x40000000)
|
|
/**************
|
|
* useful macros
|
|
************** */
|
|
#define picofftsg_highestBitPos(x) (x==0?0:(x>=POW17?(x>=POW25?(x>=POW29?(x>=POW31?31:(x>=POW30?30:29)):(x>=POW27?(x>=POW28?28:27):(x>=POW26?26:25))):(x>=POW21?(x>=POW23?(x>=POW24?24:23):(x>=POW22?22:21)):(x>=POW19?(x>=POW20?20:19):(x>=POW18?18:17)))):(x>=POW9?(x>=POW13?(x>=POW15?(x>=POW16?16:15):(x>=POW14?14:13)):(x>=POW11?(x>=POW12?12:11):(x>=POW10?10:9))):(x>=POW5?(x>=POW7?(x>=POW8?8:7):(x>=POW6?6:5)):(x>=POW3?(x>=POW4?4:3):(x>=POW2?2:1))))))
|
|
#define picofftsg_highestBit(x) (x==0?0:(x<0?(zz=-x,(zz>=POW17?(zz>=POW25?(zz>=POW29?(zz>=POW31?31:(zz>=POW30?30:29)):(zz>=POW27?(zz>=POW28?28:27):(zz>=POW26?26:25))):(zz>=POW21?(zz>=POW23?(zz>=POW24?24:23):(zz>=POW22?22:21)):(zz>=POW19?(zz>=POW20?20:19):(zz>=POW18?18:17)))):(zz>=POW9?(zz>=POW13?(zz>=POW15?(zz>=POW16?16:15):(zz>=POW14?14:13)):(zz>=POW11?(zz>=POW12?12:11):(zz>=POW10?10:9))):(zz>=POW5?(zz>=POW7?(zz>=POW8?8:7):(zz>=POW6?6:5)):(zz>=POW3?(zz>=POW4?4:3):(zz>=POW2?2:1)))))):(x>=POW17?(x>=POW25?(x>=POW29?(x>=POW31?31:(x>=POW30?30:29)):(x>=POW27?(x>=POW28?28:27):(x>=POW26?26:25))):(x>=POW21?(x>=POW23?(x>=POW24?24:23):(x>=POW22?22:21)):(x>=POW19?(x>=POW20?20:19):(x>=POW18?18:17)))):(x>=POW9?(x>=POW13?(x>=POW15?(x>=POW16?16:15):(x>=POW14?14:13)):(x>=POW11?(x>=POW12?12:11):(x>=POW10?10:9))):(x>=POW5?(x>=POW7?(x>=POW8?8:7):(x>=POW6?6:5)):(x>=POW3?(x>=POW4?4:3):(x>=POW2?2:1)))))))
|
|
#define Mult_W_W picofftsg_mult_w_w
|
|
|
|
|
|
/* ***********************************************************************************************/
|
|
/* forward declarations */
|
|
/* ***********************************************************************************************/
|
|
static PICOFFTSG_FFTTYPE picofftsg_mult_w_w(PICOFFTSG_FFTTYPE x1, PICOFFTSG_FFTTYPE y1);
|
|
static PICOFFTSG_FFTTYPE picofftsg_mult_w_a(PICOFFTSG_FFTTYPE x1, PICOFFTSG_FFTTYPE y1);
|
|
|
|
|
|
static void cftfsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void cftbsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void rftfsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void rftbsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
|
|
static void cftfsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void cftbsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void rftfsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void rftbsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void dctsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void dctsub4(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
|
|
static void ddct(picoos_int32 n, picoos_int32 isgn, PICOFFTSG_FFTTYPE *a);
|
|
static void bitrv1(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
|
|
static void bitrv2(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void bitrv216(PICOFFTSG_FFTTYPE *a);
|
|
static void bitrv208(PICOFFTSG_FFTTYPE *a);
|
|
static void cftmdl1(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void cftrec4(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void cftleaf(picoos_int32 n, picoos_int32 isplt, PICOFFTSG_FFTTYPE *a);
|
|
static void cftfx41(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void cftf161(PICOFFTSG_FFTTYPE *a);
|
|
static void cftf081(PICOFFTSG_FFTTYPE *a);
|
|
static void cftf040(PICOFFTSG_FFTTYPE *a);
|
|
static void cftx020(PICOFFTSG_FFTTYPE *a);
|
|
|
|
void bitrv2conj(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
void bitrv216neg(PICOFFTSG_FFTTYPE *a);
|
|
void bitrv208neg(PICOFFTSG_FFTTYPE *a);
|
|
void cftb1st(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
void cftrec4(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
void cftleaf(picoos_int32 n, picoos_int32 isplt, PICOFFTSG_FFTTYPE *a);
|
|
void cftfx41(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
void cftf161(PICOFFTSG_FFTTYPE *a);
|
|
void cftf081(PICOFFTSG_FFTTYPE *a);
|
|
void cftb040(PICOFFTSG_FFTTYPE *a);
|
|
void cftx020(PICOFFTSG_FFTTYPE *a);
|
|
|
|
static picoos_int32 cfttree(picoos_int32 n, picoos_int32 j, picoos_int32 k, PICOFFTSG_FFTTYPE *a);
|
|
static void cftleaf(picoos_int32 n, picoos_int32 isplt, PICOFFTSG_FFTTYPE *a);
|
|
static void cftmdl1(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
|
|
static void cftmdl1(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void cftmdl2(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
|
|
static void cftmdl1(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void cftmdl2(picoos_int32 n, PICOFFTSG_FFTTYPE *a);
|
|
static void cftf161(PICOFFTSG_FFTTYPE *a);
|
|
static void cftf162(PICOFFTSG_FFTTYPE *a);
|
|
static void cftf081(PICOFFTSG_FFTTYPE *a);
|
|
static void cftf082(PICOFFTSG_FFTTYPE *a);
|
|
|
|
static void cftf161(PICOFFTSG_FFTTYPE *a);
|
|
static void cftf162(PICOFFTSG_FFTTYPE *a);
|
|
static void cftf081(PICOFFTSG_FFTTYPE *a);
|
|
static void cftf082(PICOFFTSG_FFTTYPE *a);
|
|
|
|
/* ***********************************************************************************************/
|
|
/* Exported functions */
|
|
/* ***********************************************************************************************/
|
|
void rdft(picoos_int32 n, picoos_int32 isgn, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE xi;
|
|
|
|
if (isgn >= 0) {
|
|
if (n > 4) {
|
|
cftfsub(n, a);
|
|
rftfsub(n, a);
|
|
} else if (n == 4) {
|
|
cftfsub(n, a);
|
|
}
|
|
xi = a[0] - a[1];
|
|
a[0] += a[1];
|
|
a[1] = xi;
|
|
} else {
|
|
a[1] = (a[0] - a[1]) / 2;
|
|
a[0] -= a[1];
|
|
if (n > 4) {
|
|
rftbsub(n, a);
|
|
cftbsub(n, a);
|
|
} else if (n == 4) {
|
|
cftbsub(n, a);
|
|
}
|
|
}
|
|
|
|
}
|
|
|
|
|
|
picoos_single norm_result(picoos_int32 m2, PICOFFTSG_FFTTYPE *tmpX, PICOFFTSG_FFTTYPE *norm_window)
|
|
{
|
|
picoos_int16 nI;
|
|
PICOFFTSG_FFTTYPE a,b, E;
|
|
|
|
E = (picoos_int32)0;
|
|
for (nI=0; nI<m2; nI++) {
|
|
a = (norm_window[nI]>>18) * ((tmpX[nI]>0) ? tmpX[nI]>>11 : -((-tmpX[nI])>>11));
|
|
tmpX[nI] = a;
|
|
b = (a>=0?a:-a) >> 18;
|
|
E += (b*b);
|
|
}
|
|
|
|
if (E>0) {
|
|
return (picoos_single)sqrt((double)E/16.0)/m2;
|
|
}
|
|
else {
|
|
return 0.0;
|
|
}
|
|
}
|
|
|
|
void ddct(picoos_int32 n, picoos_int32 isgn, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 j;
|
|
PICOFFTSG_FFTTYPE xr;
|
|
|
|
if (isgn < 0) {
|
|
xr = a[n - 1];
|
|
for (j = n - 2; j >= 2; j -= 2) {
|
|
a[j + 1] = a[j] - a[j - 1];
|
|
a[j] += a[j - 1];
|
|
}
|
|
a[1] = a[0] - xr;
|
|
a[0] += xr;
|
|
if (n > 4) {
|
|
rftbsub(n, a);
|
|
cftbsub(n, a);
|
|
} else if (n == 4) {
|
|
cftbsub(n, a);
|
|
}
|
|
}
|
|
if (n > 4) {
|
|
dctsub(n, a);
|
|
} else {
|
|
dctsub4(n, a);
|
|
}
|
|
if (isgn >= 0) {
|
|
if (n > 4) {
|
|
cftfsub(n, a);
|
|
rftfsub(n, a);
|
|
} else if (n == 4) {
|
|
cftfsub(n, a);
|
|
}
|
|
|
|
|
|
xr = a[0] - a[1];
|
|
a[0] += a[1];
|
|
for (j = 2; j < n; j += 2) {
|
|
a[j - 1] = a[j] - a[j + 1];
|
|
a[j] += a[j + 1];
|
|
}
|
|
a[n - 1] = xr;
|
|
}
|
|
}
|
|
|
|
void dfct_nmf(picoos_int32 n, picoos_int32 *a)
|
|
{
|
|
picoos_int32 j, k, m, mh;
|
|
PICOFFTSG_FFTTYPE xr, xi, yr, yi, an;
|
|
PICOFFTSG_FFTTYPE *aj, *ak, *amj, *amk;
|
|
|
|
m = n >> 1;
|
|
for (j = 0; j < m; j++) {
|
|
k = n - j;
|
|
xr = a[j] + a[k];
|
|
a[j] -= a[k];
|
|
a[k] = xr;
|
|
}
|
|
an = a[n];
|
|
while (m >= 2) {
|
|
ddct(m, 1, a);
|
|
if (m > 2) {
|
|
bitrv1(m, a);
|
|
}
|
|
mh = m >> 1;
|
|
xi = a[m];
|
|
a[m] = a[0];
|
|
a[0] = an - xi;
|
|
an += xi;
|
|
k = m-1;
|
|
aj = a + 1; ak = a + k; amj = aj + m; amk = ak + m;
|
|
for (j = 1; j < mh; j++, aj++, ak--, amj++, amk--) {
|
|
xr = *amk;
|
|
xi = *amj;
|
|
yr = *aj;
|
|
yi = *ak;
|
|
*amj = yr;
|
|
*amk = yi;
|
|
*aj = xr - xi;
|
|
*ak = xr + xi;
|
|
}
|
|
xr = *aj;
|
|
*aj = *amj;
|
|
*amj = xr;
|
|
|
|
m = mh;
|
|
}
|
|
|
|
xi = a[1];
|
|
a[1] = a[0];
|
|
a[0] = an + xi;
|
|
a[n] = an - xi;
|
|
if (n > 2) {
|
|
bitrv1(n, a);
|
|
}
|
|
|
|
}
|
|
|
|
/* ***********************************************************************************************/
|
|
/* internal routines */
|
|
/* ***********************************************************************************************/
|
|
/*
|
|
mult two numbers which are guaranteed to be in the range -1..1
|
|
shift right as little as possible before mult, and the rest after the mult
|
|
Also, shift bigger number more - lose less accuracy
|
|
*/
|
|
static PICOFFTSG_FFTTYPE picofftsg_mult_w_w(PICOFFTSG_FFTTYPE x1, PICOFFTSG_FFTTYPE y1)
|
|
{
|
|
PICOFFTSG_FFTTYPE x, y;
|
|
x = x1>=0 ? x1>>15 : -((-x1)>>15);
|
|
y = y1>=0 ? y1>>14 : -((-y1)>>14);
|
|
return x * y;
|
|
}
|
|
|
|
static PICOFFTSG_FFTTYPE picofftsg_mult_w_a(PICOFFTSG_FFTTYPE x1, PICOFFTSG_FFTTYPE y1)
|
|
{
|
|
PICOFFTSG_FFTTYPE x, y;
|
|
|
|
|
|
x = x1>=0 ? x1>>15 : -((-x1)>>15);
|
|
y = y1>=0 ? y1>>14 : -((-y1)>>14);
|
|
return x * y;
|
|
}
|
|
|
|
static void cftfsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
|
|
if (n > 8) {
|
|
if (n > 32) {
|
|
cftmdl1(n, a);
|
|
if (n > 512) {
|
|
cftrec4(n, a);
|
|
} else if (n > 128) {
|
|
cftleaf(n, 1, a);
|
|
} else {
|
|
cftfx41(n, a);
|
|
}
|
|
bitrv2(n, a);
|
|
} else if (n == 32) {
|
|
cftf161(a);
|
|
bitrv216(a);
|
|
} else {
|
|
cftf081(a);
|
|
bitrv208(a);
|
|
}
|
|
} else if (n == 8) {
|
|
cftf040(a);
|
|
} else if (n == 4) {
|
|
cftx020(a);
|
|
}
|
|
}
|
|
|
|
|
|
void cftbsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
if (n > 8) {
|
|
if (n > 32) {
|
|
cftb1st(n, a);
|
|
if (n > 512) {
|
|
cftrec4(n, a);
|
|
} else if (n > 128) {
|
|
cftleaf(n, 1, a);
|
|
} else {
|
|
cftfx41(n, a);
|
|
}
|
|
bitrv2conj(n, a);
|
|
} else if (n == 32) {
|
|
cftf161(a);
|
|
bitrv216neg(a);
|
|
} else {
|
|
cftf081(a);
|
|
bitrv208neg(a);
|
|
}
|
|
} else if (n == 8) {
|
|
cftb040(a);
|
|
} else if (n == 4) {
|
|
cftx020(a);
|
|
}
|
|
}
|
|
|
|
/* **************************************************************************************************/
|
|
|
|
/* **************************************************************************************************/
|
|
void bitrv2(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 j0, k0, j1, k1, l, m, i, j, k, nh, m2;
|
|
PICOFFTSG_FFTTYPE xr, xi, yr, yi;
|
|
|
|
m = 4;
|
|
for (l = n >> 2; l > 8; l >>= 2) {
|
|
m <<= 1;
|
|
}
|
|
m2 = m + m;
|
|
nh = n >> 1;
|
|
if (l == 8) {
|
|
j0 = 0;
|
|
for (k0 = 0; k0 < m; k0 += 4) {
|
|
k = k0;
|
|
for (j = j0; j < j0 + k0; j += 4) {
|
|
xr = a[j];
|
|
xi = a[j + 1];
|
|
yr = a[k];
|
|
yi = a[k + 1];
|
|
a[j] = yr;
|
|
a[j + 1] = yi;
|
|
a[k] = xr;
|
|
a[k + 1] = xi;
|
|
j1 = j + m;
|
|
k1 = k + m2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 -= m;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 += m2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += nh;
|
|
k1 += 2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 += m;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += 2;
|
|
k1 += nh;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 += m2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 -= m;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 += m2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= nh;
|
|
k1 -= 2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 += m;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
for (i = nh >> 1; i > (k ^= i); i >>= 1) {
|
|
/* Avoid warning*/
|
|
};
|
|
}
|
|
k1 = j0 + k0;
|
|
j1 = k1 + 2;
|
|
k1 += nh;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 += m2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 -= m;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= 2;
|
|
k1 -= nh;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += nh + 2;
|
|
k1 += nh + 2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= nh - m;
|
|
k1 += m2 - 2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
for (i = nh >> 1; i > (j0 ^= i); i >>= 1) {
|
|
/* Avoid warning */
|
|
}
|
|
}
|
|
} else {
|
|
j0 = 0;
|
|
for (k0 = 0; k0 < m; k0 += 4) {
|
|
k = k0;
|
|
for (j = j0; j < j0 + k0; j += 4) {
|
|
xr = a[j];
|
|
xi = a[j + 1];
|
|
yr = a[k];
|
|
yi = a[k + 1];
|
|
a[j] = yr;
|
|
a[j + 1] = yi;
|
|
a[k] = xr;
|
|
a[k + 1] = xi;
|
|
j1 = j + m;
|
|
k1 = k + m;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += nh;
|
|
k1 += 2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += 2;
|
|
k1 += nh;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 += m;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= nh;
|
|
k1 -= 2;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
for (i = nh >> 1; i > (k ^= i); i >>= 1){
|
|
/* Avoid warning */
|
|
}
|
|
}
|
|
k1 = j0 + k0;
|
|
j1 = k1 + 2;
|
|
k1 += nh;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 += m;
|
|
xr = a[j1];
|
|
xi = a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
for (i = nh >> 1; i > (j0 ^= i); i >>= 1){
|
|
/* Avoid warning */
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
void bitrv2conj(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 j0, k0, j1, k1, l, m, i, j, k, nh, m2;
|
|
PICOFFTSG_FFTTYPE xr, xi, yr, yi;
|
|
|
|
|
|
m = 4;
|
|
for (l = n >> 2; l > 8; l >>= 2) {
|
|
m <<= 1;
|
|
}
|
|
m2 = m + m;
|
|
nh = n >> 1;
|
|
if (l == 8) {
|
|
j0 = 0;
|
|
for (k0 = 0; k0 < m; k0 += 4) {
|
|
k = k0;
|
|
for (j = j0; j < j0 + k0; j += 4) {
|
|
xr = a[j];
|
|
xi = -a[j + 1];
|
|
yr = a[k];
|
|
yi = -a[k + 1];
|
|
a[j] = yr;
|
|
a[j + 1] = yi;
|
|
a[k] = xr;
|
|
a[k + 1] = xi;
|
|
j1 = j + m;
|
|
k1 = k + m2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 -= m;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 += m2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += nh;
|
|
k1 += 2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 += m;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += 2;
|
|
k1 += nh;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 += m2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 -= m;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 += m2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= nh;
|
|
k1 -= 2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 += m;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
for (i = nh >> 1; i > (k ^= i); i >>= 1) {
|
|
/* Avoid warning */
|
|
}
|
|
}
|
|
k1 = j0 + k0;
|
|
j1 = k1 + 2;
|
|
k1 += nh;
|
|
a[j1 - 1] = -a[j1 - 1];
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
a[k1 + 3] = -a[k1 + 3];
|
|
j1 += m;
|
|
k1 += m2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 -= m;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= 2;
|
|
k1 -= nh;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += nh + 2;
|
|
k1 += nh + 2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= nh - m;
|
|
k1 += m2 - 2;
|
|
a[j1 - 1] = -a[j1 - 1];
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
a[k1 + 3] = -a[k1 + 3];
|
|
for (i = nh >> 1; i > (j0 ^= i); i >>= 1) { /* Avoid warning*/
|
|
|
|
}
|
|
}
|
|
} else {
|
|
j0 = 0;
|
|
for (k0 = 0; k0 < m; k0 += 4) {
|
|
k = k0;
|
|
for (j = j0; j < j0 + k0; j += 4) {
|
|
xr = a[j];
|
|
xi = -a[j + 1];
|
|
yr = a[k];
|
|
yi = -a[k + 1];
|
|
a[j] = yr;
|
|
a[j + 1] = yi;
|
|
a[k] = xr;
|
|
a[k + 1] = xi;
|
|
j1 = j + m;
|
|
k1 = k + m;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += nh;
|
|
k1 += 2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += 2;
|
|
k1 += nh;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 += m;
|
|
k1 += m;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= nh;
|
|
k1 -= 2;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
j1 -= m;
|
|
k1 -= m;
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
for (i = nh >> 1; i > (k ^= i); i >>= 1) {
|
|
/* Avoid warning*/
|
|
}
|
|
}
|
|
k1 = j0 + k0;
|
|
j1 = k1 + 2;
|
|
k1 += nh;
|
|
a[j1 - 1] = -a[j1 - 1];
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
a[k1 + 3] = -a[k1 + 3];
|
|
j1 += m;
|
|
k1 += m;
|
|
a[j1 - 1] = -a[j1 - 1];
|
|
xr = a[j1];
|
|
xi = -a[j1 + 1];
|
|
yr = a[k1];
|
|
yi = -a[k1 + 1];
|
|
a[j1] = yr;
|
|
a[j1 + 1] = yi;
|
|
a[k1] = xr;
|
|
a[k1 + 1] = xi;
|
|
a[k1 + 3] = -a[k1 + 3];
|
|
for (i = nh >> 1; i > (j0 ^= i); i >>= 1) {
|
|
/* Avoid warning*/
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
void bitrv216(PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE x1r, x1i, x2r, x2i, x3r, x3i, x4r, x4i,
|
|
x5r, x5i, x7r, x7i, x8r, x8i, x10r, x10i,
|
|
x11r, x11i, x12r, x12i, x13r, x13i, x14r, x14i;
|
|
|
|
x1r = a[2];
|
|
x1i = a[3];
|
|
x2r = a[4];
|
|
x2i = a[5];
|
|
x3r = a[6];
|
|
x3i = a[7];
|
|
x4r = a[8];
|
|
x4i = a[9];
|
|
x5r = a[10];
|
|
x5i = a[11];
|
|
x7r = a[14];
|
|
x7i = a[15];
|
|
x8r = a[16];
|
|
x8i = a[17];
|
|
x10r = a[20];
|
|
x10i = a[21];
|
|
x11r = a[22];
|
|
x11i = a[23];
|
|
x12r = a[24];
|
|
x12i = a[25];
|
|
x13r = a[26];
|
|
x13i = a[27];
|
|
x14r = a[28];
|
|
x14i = a[29];
|
|
a[2] = x8r;
|
|
a[3] = x8i;
|
|
a[4] = x4r;
|
|
a[5] = x4i;
|
|
a[6] = x12r;
|
|
a[7] = x12i;
|
|
a[8] = x2r;
|
|
a[9] = x2i;
|
|
a[10] = x10r;
|
|
a[11] = x10i;
|
|
a[14] = x14r;
|
|
a[15] = x14i;
|
|
a[16] = x1r;
|
|
a[17] = x1i;
|
|
a[20] = x5r;
|
|
a[21] = x5i;
|
|
a[22] = x13r;
|
|
a[23] = x13i;
|
|
a[24] = x3r;
|
|
a[25] = x3i;
|
|
a[26] = x11r;
|
|
a[27] = x11i;
|
|
a[28] = x7r;
|
|
a[29] = x7i;
|
|
}
|
|
|
|
|
|
void bitrv216neg(PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE x1r, x1i, x2r, x2i, x3r, x3i, x4r, x4i,
|
|
x5r, x5i, x6r, x6i, x7r, x7i, x8r, x8i,
|
|
x9r, x9i, x10r, x10i, x11r, x11i, x12r, x12i,
|
|
x13r, x13i, x14r, x14i, x15r, x15i;
|
|
|
|
x1r = a[2];
|
|
x1i = a[3];
|
|
x2r = a[4];
|
|
x2i = a[5];
|
|
x3r = a[6];
|
|
x3i = a[7];
|
|
x4r = a[8];
|
|
x4i = a[9];
|
|
x5r = a[10];
|
|
x5i = a[11];
|
|
x6r = a[12];
|
|
x6i = a[13];
|
|
x7r = a[14];
|
|
x7i = a[15];
|
|
x8r = a[16];
|
|
x8i = a[17];
|
|
x9r = a[18];
|
|
x9i = a[19];
|
|
x10r = a[20];
|
|
x10i = a[21];
|
|
x11r = a[22];
|
|
x11i = a[23];
|
|
x12r = a[24];
|
|
x12i = a[25];
|
|
x13r = a[26];
|
|
x13i = a[27];
|
|
x14r = a[28];
|
|
x14i = a[29];
|
|
x15r = a[30];
|
|
x15i = a[31];
|
|
a[2] = x15r;
|
|
a[3] = x15i;
|
|
a[4] = x7r;
|
|
a[5] = x7i;
|
|
a[6] = x11r;
|
|
a[7] = x11i;
|
|
a[8] = x3r;
|
|
a[9] = x3i;
|
|
a[10] = x13r;
|
|
a[11] = x13i;
|
|
a[12] = x5r;
|
|
a[13] = x5i;
|
|
a[14] = x9r;
|
|
a[15] = x9i;
|
|
a[16] = x1r;
|
|
a[17] = x1i;
|
|
a[18] = x14r;
|
|
a[19] = x14i;
|
|
a[20] = x6r;
|
|
a[21] = x6i;
|
|
a[22] = x10r;
|
|
a[23] = x10i;
|
|
a[24] = x2r;
|
|
a[25] = x2i;
|
|
a[26] = x12r;
|
|
a[27] = x12i;
|
|
a[28] = x4r;
|
|
a[29] = x4i;
|
|
a[30] = x8r;
|
|
a[31] = x8i;
|
|
}
|
|
|
|
|
|
void bitrv208(PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE x1r, x1i, x3r, x3i, x4r, x4i, x6r, x6i;
|
|
|
|
x1r = a[2];
|
|
x1i = a[3];
|
|
x3r = a[6];
|
|
x3i = a[7];
|
|
x4r = a[8];
|
|
x4i = a[9];
|
|
x6r = a[12];
|
|
x6i = a[13];
|
|
a[2] = x4r;
|
|
a[3] = x4i;
|
|
a[6] = x6r;
|
|
a[7] = x6i;
|
|
a[8] = x1r;
|
|
a[9] = x1i;
|
|
a[12] = x3r;
|
|
a[13] = x3i;
|
|
}
|
|
|
|
|
|
void bitrv208neg(PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE x1r, x1i, x2r, x2i, x3r, x3i, x4r, x4i,
|
|
x5r, x5i, x6r, x6i, x7r, x7i;
|
|
|
|
x1r = a[2];
|
|
x1i = a[3];
|
|
x2r = a[4];
|
|
x2i = a[5];
|
|
x3r = a[6];
|
|
x3i = a[7];
|
|
x4r = a[8];
|
|
x4i = a[9];
|
|
x5r = a[10];
|
|
x5i = a[11];
|
|
x6r = a[12];
|
|
x6i = a[13];
|
|
x7r = a[14];
|
|
x7i = a[15];
|
|
a[2] = x7r;
|
|
a[3] = x7i;
|
|
a[4] = x3r;
|
|
a[5] = x3i;
|
|
a[6] = x5r;
|
|
a[7] = x5i;
|
|
a[8] = x1r;
|
|
a[9] = x1i;
|
|
a[10] = x6r;
|
|
a[11] = x6i;
|
|
a[12] = x2r;
|
|
a[13] = x2i;
|
|
a[14] = x4r;
|
|
a[15] = x4i;
|
|
}
|
|
|
|
|
|
void bitrv1(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 j0, k0, j1, k1, l, m, i, j, k, nh;
|
|
PICOFFTSG_FFTTYPE x;
|
|
nh = n >> 1;
|
|
x = a[1];
|
|
a[1] = a[nh];
|
|
a[nh] = x;
|
|
m = 2;
|
|
for (l = n >> 2; l > 2; l >>= 2) {
|
|
m <<= 1;
|
|
}
|
|
if (l == 2) {
|
|
j1 = m + 1;
|
|
k1 = m + nh;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
j0 = 0;
|
|
for (k0 = 2; k0 < m; k0 += 2) {
|
|
for (i = nh >> 1; i > (j0 ^= i); i >>= 1) {
|
|
/* Avoid warning*/
|
|
}
|
|
k = k0;
|
|
for (j = j0; j < j0 + k0; j += 2) {
|
|
x = a[j];
|
|
a[j] = a[k];
|
|
a[k] = x;
|
|
j1 = j + m;
|
|
k1 = k + m;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
j1 += nh;
|
|
k1++;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
j1 -= m;
|
|
k1 -= m;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
j1++;
|
|
k1 += nh;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
j1 += m;
|
|
k1 += m;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
j1 -= nh;
|
|
k1--;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
j1 -= m;
|
|
k1 -= m;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
for (i = nh >> 1; i > (k ^= i); i >>= 1) {
|
|
/* Avoid warning*/
|
|
}
|
|
}
|
|
k1 = j0 + k0;
|
|
j1 = k1 + 1;
|
|
k1 += nh;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
j1 += m;
|
|
k1 += m;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
}
|
|
} else {
|
|
j0 = 0;
|
|
for (k0 = 2; k0 < m; k0 += 2) {
|
|
for (i = nh >> 1; i > (j0 ^= i); i >>= 1) {
|
|
/* Avoid warning*/
|
|
}
|
|
k = k0;
|
|
for (j = j0; j < j0 + k0; j += 2) {
|
|
x = a[j];
|
|
a[j] = a[k];
|
|
a[k] = x;
|
|
j1 = j + nh;
|
|
k1 = k + 1;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
j1++;
|
|
k1 += nh;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
j1 -= nh;
|
|
k1--;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
for (i = nh >> 1; i > (k ^= i); i >>= 1) {
|
|
/* Avoid warning*/
|
|
}
|
|
}
|
|
k1 = j0 + k0;
|
|
j1 = k1 + 1;
|
|
k1 += nh;
|
|
x = a[j1];
|
|
a[j1] = a[k1];
|
|
a[k1] = x;
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
/* **************************************************************************************************/
|
|
|
|
/* **************************************************************************************************/
|
|
|
|
void cftb1st(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 i, i0, j, j0, j1, j2, j3, m, mh;
|
|
PICOFFTSG_FFTTYPE wk1r, wk1i, wk3r, wk3i,
|
|
wd1r, wd1i, wd3r, wd3i, ss1, ss3;
|
|
PICOFFTSG_FFTTYPE x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;
|
|
|
|
mh = n >> 3;
|
|
m = 2 * mh;
|
|
j1 = m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[0] + a[j2];
|
|
x0i = -a[1] - a[j2 + 1];
|
|
x1r = a[0] - a[j2];
|
|
x1i = -a[1] + a[j2 + 1];
|
|
x2r = a[j1] + a[j3];
|
|
x2i = a[j1 + 1] + a[j3 + 1];
|
|
x3r = a[j1] - a[j3];
|
|
x3i = a[j1 + 1] - a[j3 + 1];
|
|
a[0] = x0r + x2r;
|
|
a[1] = x0i - x2i;
|
|
a[j1] = x0r - x2r;
|
|
a[j1 + 1] = x0i + x2i;
|
|
a[j2] = x1r + x3i;
|
|
a[j2 + 1] = x1i + x3r;
|
|
a[j3] = x1r - x3i;
|
|
a[j3 + 1] = x1i - x3r;
|
|
wd1r = PICODSP_WGT_SHIFT;
|
|
wd1i = 0;
|
|
wd3r = PICODSP_WGT_SHIFT;
|
|
wd3i = 0;
|
|
|
|
wk1r = (PICOFFTSG_FFTTYPE) (0.998795449734 *PICODSP_WGT_SHIFT);
|
|
wk1i = (PICOFFTSG_FFTTYPE) (0.049067676067 *PICODSP_WGT_SHIFT);
|
|
ss1 = (PICOFFTSG_FFTTYPE) (0.098135352135 *PICODSP_WGT_SHIFT);
|
|
wk3i = (PICOFFTSG_FFTTYPE) (-0.146730467677 *PICODSP_WGT_SHIFT);
|
|
wk3r = (PICOFFTSG_FFTTYPE) (0.989176511765 *PICODSP_WGT_SHIFT);
|
|
ss3 = (PICOFFTSG_FFTTYPE) (-0.293460935354 *PICODSP_WGT_SHIFT);
|
|
|
|
i = 0;
|
|
for (;;) {
|
|
i0 = i + CDFT_LOOP_DIV_4;
|
|
if (i0 > mh - 4) {
|
|
i0 = mh - 4;
|
|
}
|
|
for (j = i + 2; j < i0; j += 4) {
|
|
|
|
wd1r -= Mult_W_W(ss1, wk1i);
|
|
wd1i += Mult_W_W(ss1, wk1r);
|
|
wd3r -= Mult_W_W(ss3, wk3i);
|
|
wd3i += Mult_W_W(ss3, wk3r);
|
|
|
|
j1 = j + m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[j] + a[j2];
|
|
x0i = -a[j + 1] - a[j2 + 1];
|
|
x1r = a[j] - a[j2];
|
|
x1i = -a[j + 1] + a[j2 + 1];
|
|
x2r = a[j1] + a[j3];
|
|
x2i = a[j1 + 1] + a[j3 + 1];
|
|
x3r = a[j1] - a[j3];
|
|
x3i = a[j1 + 1] - a[j3 + 1];
|
|
a[j] = x0r + x2r;
|
|
a[j + 1] = x0i - x2i;
|
|
a[j1] = x0r - x2r;
|
|
a[j1 + 1] = x0i + x2i;
|
|
x0r = x1r + x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2] = Mult_W_W(wk1r, x0r) - Mult_W_W(wk1i, x0i);
|
|
a[j2 + 1] = Mult_W_W(wk1r, x0i) + Mult_W_W(wk1i, x0r);
|
|
x0r = x1r - x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3] = Mult_W_W(wk3r, x0r) + Mult_W_W(wk3i, x0i);
|
|
a[j3 + 1] = Mult_W_W(wk3r, x0i) - Mult_W_W(wk3i, x0r);
|
|
x0r = a[j + 2] + a[j2 + 2];
|
|
x0i = -a[j + 3] - a[j2 + 3];
|
|
x1r = a[j + 2] - a[j2 + 2];
|
|
x1i = -a[j + 3] + a[j2 + 3];
|
|
x2r = a[j1 + 2] + a[j3 + 2];
|
|
x2i = a[j1 + 3] + a[j3 + 3];
|
|
x3r = a[j1 + 2] - a[j3 + 2];
|
|
x3i = a[j1 + 3] - a[j3 + 3];
|
|
a[j + 2] = x0r + x2r;
|
|
a[j + 3] = x0i - x2i;
|
|
a[j1 + 2] = x0r - x2r;
|
|
a[j1 + 3] = x0i + x2i;
|
|
x0r = x1r + x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2 + 2] = Mult_W_W(wd1r, x0r) - Mult_W_W(wd1i, x0i);
|
|
a[j2 + 3] = Mult_W_W(wd1r, x0i) + Mult_W_W(wd1i, x0r);
|
|
x0r = x1r - x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3 + 2] = Mult_W_W(wd3r, x0r) + Mult_W_W(wd3i, x0i);
|
|
a[j3 + 3] = Mult_W_W(wd3r, x0i) - Mult_W_W(wd3i, x0r);
|
|
j0 = m - j;
|
|
j1 = j0 + m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[j0] + a[j2];
|
|
x0i = -a[j0 + 1] - a[j2 + 1];
|
|
x1r = a[j0] - a[j2];
|
|
x1i = -a[j0 + 1] + a[j2 + 1];
|
|
x2r = a[j1] + a[j3];
|
|
x2i = a[j1 + 1] + a[j3 + 1];
|
|
x3r = a[j1] - a[j3];
|
|
x3i = a[j1 + 1] - a[j3 + 1];
|
|
a[j0] = x0r + x2r;
|
|
a[j0 + 1] = x0i - x2i;
|
|
a[j1] = x0r - x2r;
|
|
a[j1 + 1] = x0i + x2i;
|
|
x0r = x1r + x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2] = Mult_W_W(wk1i, x0r) - Mult_W_W(wk1r, x0i);
|
|
a[j2 + 1] = Mult_W_W(wk1i, x0i) + Mult_W_W(wk1r, x0r);
|
|
x0r = x1r - x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3] = Mult_W_W(wk3i, x0r) + Mult_W_W(wk3r, x0i);
|
|
a[j3 + 1] = Mult_W_W(wk3i, x0i) - Mult_W_W(wk3r, x0r);
|
|
x0r = a[j0 - 2] + a[j2 - 2];
|
|
x0i = -a[j0 - 1] - a[j2 - 1];
|
|
x1r = a[j0 - 2] - a[j2 - 2];
|
|
x1i = -a[j0 - 1] + a[j2 - 1];
|
|
x2r = a[j1 - 2] + a[j3 - 2];
|
|
x2i = a[j1 - 1] + a[j3 - 1];
|
|
x3r = a[j1 - 2] - a[j3 - 2];
|
|
x3i = a[j1 - 1] - a[j3 - 1];
|
|
a[j0 - 2] = x0r + x2r;
|
|
a[j0 - 1] = x0i - x2i;
|
|
a[j1 - 2] = x0r - x2r;
|
|
a[j1 - 1] = x0i + x2i;
|
|
x0r = x1r + x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2 - 2] = Mult_W_W(wd1i, x0r) - Mult_W_W(wd1r, x0i);
|
|
a[j2 - 1] = Mult_W_W(wd1i, x0i) + Mult_W_W(wd1r, x0r);
|
|
x0r = x1r - x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3 - 2] = Mult_W_W(wd3i, x0r) + Mult_W_W(wd3r, x0i);
|
|
a[j3 - 1] = Mult_W_W(wd3i, x0i) - Mult_W_W(wd3r, x0r);
|
|
wk1r -= Mult_W_W(ss1, wd1i);
|
|
wk1i += Mult_W_W(ss1, wd1r);
|
|
wk3r -= Mult_W_W(ss3, wd3i);
|
|
wk3i += Mult_W_W(ss3, wd3r);
|
|
}
|
|
if (i0 == mh - 4) {
|
|
break;
|
|
}
|
|
}
|
|
wd1r = WR5000;
|
|
j0 = mh;
|
|
j1 = j0 + m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[j0 - 2] + a[j2 - 2];
|
|
x0i = -a[j0 - 1] - a[j2 - 1];
|
|
x1r = a[j0 - 2] - a[j2 - 2];
|
|
x1i = -a[j0 - 1] + a[j2 - 1];
|
|
x2r = a[j1 - 2] + a[j3 - 2];
|
|
x2i = a[j1 - 1] + a[j3 - 1];
|
|
x3r = a[j1 - 2] - a[j3 - 2];
|
|
x3i = a[j1 - 1] - a[j3 - 1];
|
|
a[j0 - 2] = x0r + x2r;
|
|
a[j0 - 1] = x0i - x2i;
|
|
a[j1 - 2] = x0r - x2r;
|
|
a[j1 - 1] = x0i + x2i;
|
|
x0r = x1r + x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2 - 2] = Mult_W_W(wk1r, x0r) - Mult_W_W(wk1i, x0i);
|
|
a[j2 - 1] = Mult_W_W(wk1r, x0i) + Mult_W_W(wk1i, x0r);
|
|
x0r = x1r - x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3 - 2] = Mult_W_W(wk3r, x0r) + Mult_W_W(wk3i, x0i);
|
|
a[j3 - 1] = Mult_W_W(wk3r, x0i) - Mult_W_W(wk3i, x0r);
|
|
x0r = a[j0] + a[j2];
|
|
x0i = -a[j0 + 1] - a[j2 + 1];
|
|
x1r = a[j0] - a[j2];
|
|
x1i = -a[j0 + 1] + a[j2 + 1];
|
|
x2r = a[j1] + a[j3];
|
|
x2i = a[j1 + 1] + a[j3 + 1];
|
|
x3r = a[j1] - a[j3];
|
|
x3i = a[j1 + 1] - a[j3 + 1];
|
|
a[j0] = x0r + x2r;
|
|
a[j0 + 1] = x0i - x2i;
|
|
a[j1] = x0r - x2r;
|
|
a[j1 + 1] = x0i + x2i;
|
|
x0r = x1r + x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2] = picofftsg_mult_w_a(wd1r, (x0r - x0i));
|
|
a[j2 + 1] = picofftsg_mult_w_a(wd1r, (x0i + x0r));
|
|
x0r = x1r - x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3] = -picofftsg_mult_w_a(wd1r, (x0r + x0i));
|
|
a[j3 + 1] = -picofftsg_mult_w_a(wd1r, (x0i - x0r));
|
|
x0r = a[j0 + 2] + a[j2 + 2];
|
|
x0i = -a[j0 + 3] - a[j2 + 3];
|
|
x1r = a[j0 + 2] - a[j2 + 2];
|
|
x1i = -a[j0 + 3] + a[j2 + 3];
|
|
x2r = a[j1 + 2] + a[j3 + 2];
|
|
x2i = a[j1 + 3] + a[j3 + 3];
|
|
x3r = a[j1 + 2] - a[j3 + 2];
|
|
x3i = a[j1 + 3] - a[j3 + 3];
|
|
a[j0 + 2] = x0r + x2r;
|
|
a[j0 + 3] = x0i - x2i;
|
|
a[j1 + 2] = x0r - x2r;
|
|
a[j1 + 3] = x0i + x2i;
|
|
x0r = x1r + x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2 + 2] = Mult_W_W(wk1i, x0r) - Mult_W_W(wk1r, x0i);
|
|
a[j2 + 3] = Mult_W_W(wk1i, x0i) + Mult_W_W(wk1r, x0r);
|
|
x0r = x1r - x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3 + 2] = Mult_W_W(wk3i, x0r) + Mult_W_W(wk3r, x0i);
|
|
a[j3 + 3] = Mult_W_W(wk3i, x0i) - Mult_W_W(wk3r, x0r);
|
|
}
|
|
|
|
void cftrec4(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 isplt, j, k, m;
|
|
|
|
m = n;
|
|
while (m > 512) {
|
|
m >>= 2;
|
|
cftmdl1(m, &a[n - m]);
|
|
}
|
|
cftleaf(m, 1, &a[n - m]);
|
|
k = 0;
|
|
for (j = n - m; j > 0; j -= m) {
|
|
k++;
|
|
isplt = cfttree(m, j, k, a);
|
|
cftleaf(m, isplt, &a[j - m]);
|
|
}
|
|
}
|
|
|
|
|
|
picoos_int32 cfttree(picoos_int32 n, picoos_int32 j, picoos_int32 k, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 i, isplt, m;
|
|
|
|
if ((k & 3) != 0) {
|
|
isplt = k & 1;
|
|
if (isplt != 0) {
|
|
cftmdl1(n, &a[j - n]);
|
|
} else {
|
|
cftmdl2(n, &a[j - n]);
|
|
}
|
|
} else {
|
|
m = n;
|
|
for (i = k; (i & 3) == 0; i >>= 2) {
|
|
m <<= 2;
|
|
}
|
|
isplt = i & 1;
|
|
if (isplt != 0) {
|
|
while (m > 128) {
|
|
cftmdl1(m, &a[j - m]);
|
|
m >>= 2;
|
|
}
|
|
} else {
|
|
while (m > 128) {
|
|
cftmdl2(m, &a[j - m]);
|
|
m >>= 2;
|
|
}
|
|
}
|
|
}
|
|
return isplt;
|
|
}
|
|
|
|
|
|
void cftleaf(picoos_int32 n, picoos_int32 isplt, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
|
|
if (n == 512) {
|
|
cftmdl1(128, a);
|
|
cftf161(a);
|
|
cftf162(&a[32]);
|
|
cftf161(&a[64]);
|
|
cftf161(&a[96]);
|
|
cftmdl2(128, &a[128]);
|
|
cftf161(&a[128]);
|
|
cftf162(&a[160]);
|
|
cftf161(&a[192]);
|
|
cftf162(&a[224]);
|
|
cftmdl1(128, &a[256]);
|
|
cftf161(&a[256]);
|
|
cftf162(&a[288]);
|
|
cftf161(&a[320]);
|
|
cftf161(&a[352]);
|
|
if (isplt != 0) {
|
|
cftmdl1(128, &a[384]);
|
|
cftf161(&a[480]);
|
|
} else {
|
|
cftmdl2(128, &a[384]);
|
|
cftf162(&a[480]);
|
|
}
|
|
cftf161(&a[384]);
|
|
cftf162(&a[416]);
|
|
cftf161(&a[448]);
|
|
} else {
|
|
cftmdl1(64, a);
|
|
cftf081(a);
|
|
cftf082(&a[16]);
|
|
cftf081(&a[32]);
|
|
cftf081(&a[48]);
|
|
cftmdl2(64, &a[64]);
|
|
cftf081(&a[64]);
|
|
cftf082(&a[80]);
|
|
cftf081(&a[96]);
|
|
cftf082(&a[112]);
|
|
cftmdl1(64, &a[128]);
|
|
cftf081(&a[128]);
|
|
cftf082(&a[144]);
|
|
cftf081(&a[160]);
|
|
cftf081(&a[176]);
|
|
if (isplt != 0) {
|
|
cftmdl1(64, &a[192]);
|
|
cftf081(&a[240]);
|
|
} else {
|
|
cftmdl2(64, &a[192]);
|
|
cftf082(&a[240]);
|
|
}
|
|
cftf081(&a[192]);
|
|
cftf082(&a[208]);
|
|
cftf081(&a[224]);
|
|
}
|
|
}
|
|
|
|
|
|
void cftmdl1(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 i, i0, j, j0, j1, j2, j3, m, mh;
|
|
PICOFFTSG_FFTTYPE wk1r, wk1i, wk3r, wk3i,
|
|
wd1r, wd1i, wd3r, wd3i, ss1, ss3;
|
|
PICOFFTSG_FFTTYPE x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;
|
|
|
|
mh = n >> 3;
|
|
m = 2 * mh;
|
|
j1 = m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[0] + a[j2];
|
|
x0i = a[1] + a[j2 + 1];
|
|
x1r = a[0] - a[j2];
|
|
x1i = a[1] - a[j2 + 1];
|
|
x2r = a[j1] + a[j3];
|
|
x2i = a[j1 + 1] + a[j3 + 1];
|
|
x3r = a[j1] - a[j3];
|
|
x3i = a[j1 + 1] - a[j3 + 1];
|
|
a[0] = x0r + x2r;
|
|
a[1] = x0i + x2i;
|
|
a[j1] = x0r - x2r;
|
|
a[j1 + 1] = x0i - x2i;
|
|
a[j2] = x1r - x3i;
|
|
a[j2 + 1] = x1i + x3r;
|
|
a[j3] = x1r + x3i;
|
|
a[j3 + 1] = x1i - x3r;
|
|
wd1r = (PICOFFTSG_FFTTYPE)(PICODSP_WGT_SHIFT);
|
|
wd1i = 0;
|
|
wd3r = (PICOFFTSG_FFTTYPE)(PICODSP_WGT_SHIFT);
|
|
wd3i = 0;
|
|
wk1r = (PICOFFTSG_FFTTYPE) (0.980785250664 *PICODSP_WGT_SHIFT);
|
|
wk1i = (PICOFFTSG_FFTTYPE) (0.195090323687 *PICODSP_WGT_SHIFT);
|
|
ss1 = (PICOFFTSG_FFTTYPE) (0.390180647373 *PICODSP_WGT_SHIFT);
|
|
wk3i = (PICOFFTSG_FFTTYPE) (-0.555570185184 *PICODSP_WGT_SHIFT);
|
|
wk3r = (PICOFFTSG_FFTTYPE) (0.831469595432 *PICODSP_WGT_SHIFT);
|
|
ss3 = (PICOFFTSG_FFTTYPE) (-1.111140370369 *PICODSP_WGT_SHIFT);
|
|
|
|
i = 0;
|
|
for (;;) {
|
|
i0 = i + CDFT_LOOP_DIV_4;
|
|
if (i0 > mh - 4) {
|
|
i0 = mh - 4;
|
|
}
|
|
for (j = i + 2; j < i0; j += 4) {
|
|
wd1r -= Mult_W_W(ss1, wk1i);
|
|
wd1i += Mult_W_W(ss1, wk1r);
|
|
wd3r -= Mult_W_W(ss3, wk3i);
|
|
wd3i += Mult_W_W(ss3, wk3r);
|
|
j1 = j + m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[j] + a[j2];
|
|
x0i = a[j + 1] + a[j2 + 1];
|
|
x1r = a[j] - a[j2];
|
|
x1i = a[j + 1] - a[j2 + 1];
|
|
x2r = a[j1] + a[j3];
|
|
x2i = a[j1 + 1] + a[j3 + 1];
|
|
x3r = a[j1] - a[j3];
|
|
x3i = a[j1 + 1] - a[j3 + 1];
|
|
a[j] = x0r + x2r;
|
|
a[j + 1] = x0i + x2i;
|
|
a[j1] = x0r - x2r;
|
|
a[j1 + 1] = x0i - x2i;
|
|
x0r = x1r - x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2] = Mult_W_W(wk1r, x0r) - Mult_W_W(wk1i, x0i);
|
|
a[j2 + 1] = Mult_W_W(wk1r, x0i) + Mult_W_W(wk1i, x0r);
|
|
x0r = x1r + x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3] = Mult_W_W(wk3r, x0r) + Mult_W_W(wk3i, x0i);
|
|
a[j3 + 1] = Mult_W_W(wk3r, x0i) - Mult_W_W(wk3i, x0r);
|
|
x0r = a[j + 2] + a[j2 + 2];
|
|
x0i = a[j + 3] + a[j2 + 3];
|
|
x1r = a[j + 2] - a[j2 + 2];
|
|
x1i = a[j + 3] - a[j2 + 3];
|
|
x2r = a[j1 + 2] + a[j3 + 2];
|
|
x2i = a[j1 + 3] + a[j3 + 3];
|
|
x3r = a[j1 + 2] - a[j3 + 2];
|
|
x3i = a[j1 + 3] - a[j3 + 3];
|
|
a[j + 2] = x0r + x2r;
|
|
a[j + 3] = x0i + x2i;
|
|
a[j1 + 2] = x0r - x2r;
|
|
a[j1 + 3] = x0i - x2i;
|
|
x0r = x1r - x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2 + 2] = Mult_W_W(wd1r, x0r) - Mult_W_W(wd1i, x0i);
|
|
a[j2 + 3] = Mult_W_W(wd1r, x0i) + Mult_W_W(wd1i, x0r);
|
|
x0r = x1r + x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3 + 2] = Mult_W_W(wd3r, x0r) + Mult_W_W(wd3i, x0i);
|
|
a[j3 + 3] = Mult_W_W(wd3r, x0i) - Mult_W_W(wd3i, x0r);
|
|
j0 = m - j;
|
|
j1 = j0 + m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[j0] + a[j2];
|
|
x0i = a[j0 + 1] + a[j2 + 1];
|
|
x1r = a[j0] - a[j2];
|
|
x1i = a[j0 + 1] - a[j2 + 1];
|
|
x2r = a[j1] + a[j3];
|
|
x2i = a[j1 + 1] + a[j3 + 1];
|
|
x3r = a[j1] - a[j3];
|
|
x3i = a[j1 + 1] - a[j3 + 1];
|
|
a[j0] = x0r + x2r;
|
|
a[j0 + 1] = x0i + x2i;
|
|
a[j1] = x0r - x2r;
|
|
a[j1 + 1] = x0i - x2i;
|
|
x0r = x1r - x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2] = Mult_W_W(wk1i, x0r) - Mult_W_W(wk1r, x0i);
|
|
a[j2 + 1] = Mult_W_W(wk1i, x0i) + Mult_W_W(wk1r, x0r);
|
|
x0r = x1r + x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3] = Mult_W_W(wk3i, x0r) + Mult_W_W(wk3r, x0i);
|
|
a[j3 + 1] = Mult_W_W(wk3i, x0i) - Mult_W_W(wk3r, x0r);
|
|
x0r = a[j0 - 2] + a[j2 - 2];
|
|
x0i = a[j0 - 1] + a[j2 - 1];
|
|
x1r = a[j0 - 2] - a[j2 - 2];
|
|
x1i = a[j0 - 1] - a[j2 - 1];
|
|
x2r = a[j1 - 2] + a[j3 - 2];
|
|
x2i = a[j1 - 1] + a[j3 - 1];
|
|
x3r = a[j1 - 2] - a[j3 - 2];
|
|
x3i = a[j1 - 1] - a[j3 - 1];
|
|
a[j0 - 2] = x0r + x2r;
|
|
a[j0 - 1] = x0i + x2i;
|
|
a[j1 - 2] = x0r - x2r;
|
|
a[j1 - 1] = x0i - x2i;
|
|
x0r = x1r - x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2 - 2] = Mult_W_W(wd1i, x0r) - Mult_W_W(wd1r, x0i);
|
|
a[j2 - 1] = Mult_W_W(wd1i, x0i) + Mult_W_W(wd1r, x0r);
|
|
x0r = x1r + x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3 - 2] = Mult_W_W(wd3i, x0r) + Mult_W_W(wd3r, x0i);
|
|
a[j3 - 1] = Mult_W_W(wd3i, x0i) - Mult_W_W(wd3r, x0r);
|
|
wk1r -= Mult_W_W(ss1, wd1i);
|
|
wk1i += Mult_W_W(ss1, wd1r);
|
|
wk3r -= Mult_W_W(ss3, wd3i);
|
|
wk3i += Mult_W_W(ss3, wd3r);
|
|
}
|
|
if (i0 == mh - 4) {
|
|
break;
|
|
}
|
|
}
|
|
wd1r = WR5000;
|
|
j0 = mh;
|
|
j1 = j0 + m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[j0 - 2] + a[j2 - 2];
|
|
x0i = a[j0 - 1] + a[j2 - 1];
|
|
x1r = a[j0 - 2] - a[j2 - 2];
|
|
x1i = a[j0 - 1] - a[j2 - 1];
|
|
x2r = a[j1 - 2] + a[j3 - 2];
|
|
x2i = a[j1 - 1] + a[j3 - 1];
|
|
x3r = a[j1 - 2] - a[j3 - 2];
|
|
x3i = a[j1 - 1] - a[j3 - 1];
|
|
a[j0 - 2] = x0r + x2r;
|
|
a[j0 - 1] = x0i + x2i;
|
|
a[j1 - 2] = x0r - x2r;
|
|
a[j1 - 1] = x0i - x2i;
|
|
x0r = x1r - x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2 - 2] = Mult_W_W(wk1r, x0r) - Mult_W_W(wk1i, x0i);
|
|
a[j2 - 1] = Mult_W_W(wk1r, x0i) + Mult_W_W(wk1i, x0r);
|
|
x0r = x1r + x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3 - 2] = Mult_W_W(wk3r, x0r) + Mult_W_W(wk3i, x0i);
|
|
a[j3 - 1] = Mult_W_W(wk3r, x0i) - Mult_W_W(wk3i, x0r);
|
|
x0r = a[j0] + a[j2];
|
|
x0i = a[j0 + 1] + a[j2 + 1];
|
|
x1r = a[j0] - a[j2];
|
|
x1i = a[j0 + 1] - a[j2 + 1];
|
|
x2r = a[j1] + a[j3];
|
|
x2i = a[j1 + 1] + a[j3 + 1];
|
|
x3r = a[j1] - a[j3];
|
|
x3i = a[j1 + 1] - a[j3 + 1];
|
|
a[j0] = x0r + x2r;
|
|
a[j0 + 1] = x0i + x2i;
|
|
a[j1] = x0r - x2r;
|
|
a[j1 + 1] = x0i - x2i;
|
|
x0r = x1r - x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2] = picofftsg_mult_w_a(wd1r, (x0r - x0i));
|
|
a[j2 + 1] = picofftsg_mult_w_a(wd1r, (x0i + x0r));
|
|
x0r = x1r + x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3] = -picofftsg_mult_w_a(wd1r, (x0r + x0i));
|
|
a[j3 + 1] = -picofftsg_mult_w_a(wd1r, (x0i - x0r));
|
|
x0r = a[j0 + 2] + a[j2 + 2];
|
|
x0i = a[j0 + 3] + a[j2 + 3];
|
|
x1r = a[j0 + 2] - a[j2 + 2];
|
|
x1i = a[j0 + 3] - a[j2 + 3];
|
|
x2r = a[j1 + 2] + a[j3 + 2];
|
|
x2i = a[j1 + 3] + a[j3 + 3];
|
|
x3r = a[j1 + 2] - a[j3 + 2];
|
|
x3i = a[j1 + 3] - a[j3 + 3];
|
|
a[j0 + 2] = x0r + x2r;
|
|
a[j0 + 3] = x0i + x2i;
|
|
a[j1 + 2] = x0r - x2r;
|
|
a[j1 + 3] = x0i - x2i;
|
|
x0r = x1r - x3i;
|
|
x0i = x1i + x3r;
|
|
a[j2 + 2] = Mult_W_W(wk1i, x0r) - Mult_W_W(wk1r, x0i);
|
|
a[j2 + 3] = Mult_W_W(wk1i, x0i) + Mult_W_W(wk1r, x0r);
|
|
x0r = x1r + x3i;
|
|
x0i = x1i - x3r;
|
|
a[j3 + 2] = Mult_W_W(wk3i, x0r) + Mult_W_W(wk3r, x0i);
|
|
a[j3 + 3] = Mult_W_W(wk3i, x0i) - Mult_W_W(wk3r, x0r);
|
|
}
|
|
|
|
|
|
void cftmdl2(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 i, i0, j, j0, j1, j2, j3, m, mh;
|
|
PICOFFTSG_FFTTYPE wn4r, wk1r, wk1i, wk3r, wk3i,
|
|
wl1r, wl1i, wl3r, wl3i, wd1r, wd1i, wd3r, wd3i,
|
|
we1r, we1i, we3r, we3i, ss1, ss3;
|
|
PICOFFTSG_FFTTYPE x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i, y0r, y0i, y2r, y2i;
|
|
|
|
mh = n >> 3;
|
|
m = 2 * mh;
|
|
wn4r = WR5000;
|
|
j1 = m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[0] - a[j2 + 1];
|
|
x0i = a[1] + a[j2];
|
|
x1r = a[0] + a[j2 + 1];
|
|
x1i = a[1] - a[j2];
|
|
x2r = a[j1] - a[j3 + 1];
|
|
x2i = a[j1 + 1] + a[j3];
|
|
x3r = a[j1] + a[j3 + 1];
|
|
x3i = a[j1 + 1] - a[j3];
|
|
y0r = picofftsg_mult_w_a(wn4r, (x2r - x2i));
|
|
y0i = picofftsg_mult_w_a(wn4r, (x2i + x2r));
|
|
a[0] = x0r + y0r;
|
|
a[1] = x0i + y0i;
|
|
a[j1] = x0r - y0r;
|
|
a[j1 + 1] = x0i - y0i;
|
|
y0r = picofftsg_mult_w_a(wn4r, (x3r - x3i));
|
|
y0i = picofftsg_mult_w_a(wn4r, (x3i + x3r));
|
|
a[j2] = x1r - y0i;
|
|
a[j2 + 1] = x1i + y0r;
|
|
a[j3] = x1r + y0i;
|
|
a[j3 + 1] = x1i - y0r;
|
|
wl1r = PICODSP_WGT_SHIFT;
|
|
wl1i = 0;
|
|
wl3r = PICODSP_WGT_SHIFT;
|
|
wl3i = 0;
|
|
we1r = wn4r;
|
|
we1i = wn4r;
|
|
we3r = -wn4r;
|
|
we3i = -wn4r;
|
|
|
|
wk1r = (PICOFFTSG_FFTTYPE)(0.995184719563 *PICODSP_WGT_SHIFT);
|
|
wk1i = (PICOFFTSG_FFTTYPE)(0.098017141223 *PICODSP_WGT_SHIFT);
|
|
wd1r = (PICOFFTSG_FFTTYPE)(0.634393274784 *PICODSP_WGT_SHIFT);
|
|
wd1i = (PICOFFTSG_FFTTYPE)(0.773010432720 *PICODSP_WGT_SHIFT);
|
|
ss1 = (PICOFFTSG_FFTTYPE)(0.196034282446 *PICODSP_WGT_SHIFT);
|
|
wk3i = (PICOFFTSG_FFTTYPE)(-0.290284663439 *PICODSP_WGT_SHIFT);
|
|
wk3r = (PICOFFTSG_FFTTYPE)(0.956940352917 *PICODSP_WGT_SHIFT);
|
|
ss3 = (PICOFFTSG_FFTTYPE)(-0.580569326878 *PICODSP_WGT_SHIFT);
|
|
wd3r = (PICOFFTSG_FFTTYPE)(-0.881921231747 *PICODSP_WGT_SHIFT);
|
|
wd3i = (PICOFFTSG_FFTTYPE)(-0.471396744251 *PICODSP_WGT_SHIFT);
|
|
|
|
i = 0;
|
|
for (;;) {
|
|
i0 = i + 4 * CDFT_LOOP_DIV;
|
|
if (i0 > mh - 4) {
|
|
i0 = mh - 4;
|
|
}
|
|
for (j = i + 2; j < i0; j += 4) {
|
|
wl1r -= Mult_W_W(ss1, wk1i);
|
|
wl1i += Mult_W_W(ss1, wk1r);
|
|
wl3r -= Mult_W_W(ss3, wk3i);
|
|
wl3i += Mult_W_W(ss3, wk3r);
|
|
we1r -= Mult_W_W(ss1, wd1i);
|
|
we1i += Mult_W_W(ss1, wd1r);
|
|
we3r -= Mult_W_W(ss3, wd3i);
|
|
we3i += Mult_W_W(ss3, wd3r);
|
|
j1 = j + m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[j] - a[j2 + 1];
|
|
x0i = a[j + 1] + a[j2];
|
|
x1r = a[j] + a[j2 + 1];
|
|
x1i = a[j + 1] - a[j2];
|
|
x2r = a[j1] - a[j3 + 1];
|
|
x2i = a[j1 + 1] + a[j3];
|
|
x3r = a[j1] + a[j3 + 1];
|
|
x3i = a[j1 + 1] - a[j3];
|
|
y0r = Mult_W_W(wk1r, x0r) - Mult_W_W(wk1i, x0i);
|
|
y0i = Mult_W_W(wk1r, x0i) + Mult_W_W(wk1i, x0r);
|
|
y2r = Mult_W_W(wd1r, x2r) - Mult_W_W(wd1i, x2i);
|
|
y2i = Mult_W_W(wd1r, x2i) + Mult_W_W(wd1i, x2r);
|
|
a[j] = y0r + y2r;
|
|
a[j + 1] = y0i + y2i;
|
|
a[j1] = y0r - y2r;
|
|
a[j1 + 1] = y0i - y2i;
|
|
y0r = Mult_W_W(wk3r, x1r) + Mult_W_W(wk3i, x1i);
|
|
y0i = Mult_W_W(wk3r, x1i) - Mult_W_W(wk3i, x1r);
|
|
y2r = Mult_W_W(wd3r, x3r) + Mult_W_W(wd3i, x3i);
|
|
y2i = Mult_W_W(wd3r, x3i) - Mult_W_W(wd3i, x3r);
|
|
a[j2] = y0r + y2r;
|
|
a[j2 + 1] = y0i + y2i;
|
|
a[j3] = y0r - y2r;
|
|
a[j3 + 1] = y0i - y2i;
|
|
x0r = a[j + 2] - a[j2 + 3];
|
|
x0i = a[j + 3] + a[j2 + 2];
|
|
x1r = a[j + 2] + a[j2 + 3];
|
|
x1i = a[j + 3] - a[j2 + 2];
|
|
x2r = a[j1 + 2] - a[j3 + 3];
|
|
x2i = a[j1 + 3] + a[j3 + 2];
|
|
x3r = a[j1 + 2] + a[j3 + 3];
|
|
x3i = a[j1 + 3] - a[j3 + 2];
|
|
y0r = Mult_W_W(wl1r, x0r) - Mult_W_W(wl1i, x0i);
|
|
y0i = Mult_W_W(wl1r, x0i) + Mult_W_W(wl1i, x0r);
|
|
y2r = Mult_W_W(we1r, x2r) - Mult_W_W(we1i, x2i);
|
|
y2i = Mult_W_W(we1r, x2i) + Mult_W_W(we1i, x2r);
|
|
a[j + 2] = y0r + y2r;
|
|
a[j + 3] = y0i + y2i;
|
|
a[j1 + 2] = y0r - y2r;
|
|
a[j1 + 3] = y0i - y2i;
|
|
y0r = Mult_W_W(wl3r, x1r) + Mult_W_W(wl3i, x1i);
|
|
y0i = Mult_W_W(wl3r, x1i) - Mult_W_W(wl3i, x1r);
|
|
y2r = Mult_W_W(we3r, x3r) + Mult_W_W(we3i, x3i);
|
|
y2i = Mult_W_W(we3r, x3i) - Mult_W_W(we3i, x3r);
|
|
a[j2 + 2] = y0r + y2r;
|
|
a[j2 + 3] = y0i + y2i;
|
|
a[j3 + 2] = y0r - y2r;
|
|
a[j3 + 3] = y0i - y2i;
|
|
j0 = m - j;
|
|
j1 = j0 + m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[j0] - a[j2 + 1];
|
|
x0i = a[j0 + 1] + a[j2];
|
|
x1r = a[j0] + a[j2 + 1];
|
|
x1i = a[j0 + 1] - a[j2];
|
|
x2r = a[j1] - a[j3 + 1];
|
|
x2i = a[j1 + 1] + a[j3];
|
|
x3r = a[j1] + a[j3 + 1];
|
|
x3i = a[j1 + 1] - a[j3];
|
|
y0r = Mult_W_W(wd1i, x0r) - Mult_W_W(wd1r, x0i);
|
|
y0i = Mult_W_W(wd1i, x0i) + Mult_W_W(wd1r, x0r);
|
|
y2r = Mult_W_W(wk1i, x2r) - Mult_W_W(wk1r, x2i);
|
|
y2i = Mult_W_W(wk1i, x2i) + Mult_W_W(wk1r, x2r);
|
|
a[j0] = y0r + y2r;
|
|
a[j0 + 1] = y0i + y2i;
|
|
a[j1] = y0r - y2r;
|
|
a[j1 + 1] = y0i - y2i;
|
|
y0r = Mult_W_W(wd3i, x1r) + Mult_W_W(wd3r, x1i);
|
|
y0i = Mult_W_W(wd3i, x1i) - Mult_W_W(wd3r, x1r);
|
|
y2r = Mult_W_W(wk3i, x3r) + Mult_W_W(wk3r, x3i);
|
|
y2i = Mult_W_W(wk3i, x3i) - Mult_W_W(wk3r, x3r);
|
|
a[j2] = y0r + y2r;
|
|
a[j2 + 1] = y0i + y2i;
|
|
a[j3] = y0r - y2r;
|
|
a[j3 + 1] = y0i - y2i;
|
|
x0r = a[j0 - 2] - a[j2 - 1];
|
|
x0i = a[j0 - 1] + a[j2 - 2];
|
|
x1r = a[j0 - 2] + a[j2 - 1];
|
|
x1i = a[j0 - 1] - a[j2 - 2];
|
|
x2r = a[j1 - 2] - a[j3 - 1];
|
|
x2i = a[j1 - 1] + a[j3 - 2];
|
|
x3r = a[j1 - 2] + a[j3 - 1];
|
|
x3i = a[j1 - 1] - a[j3 - 2];
|
|
y0r = Mult_W_W(we1i, x0r) - Mult_W_W(we1r, x0i);
|
|
y0i = Mult_W_W(we1i, x0i) + Mult_W_W(we1r, x0r);
|
|
y2r = Mult_W_W(wl1i, x2r) - Mult_W_W(wl1r, x2i);
|
|
y2i = Mult_W_W(wl1i, x2i) + Mult_W_W(wl1r, x2r);
|
|
a[j0 - 2] = y0r + y2r;
|
|
a[j0 - 1] = y0i + y2i;
|
|
a[j1 - 2] = y0r - y2r;
|
|
a[j1 - 1] = y0i - y2i;
|
|
y0r = Mult_W_W(we3i, x1r) + Mult_W_W(we3r, x1i);
|
|
y0i = Mult_W_W(we3i, x1i) - Mult_W_W(we3r, x1r);
|
|
y2r = Mult_W_W(wl3i, x3r) + Mult_W_W(wl3r, x3i);
|
|
y2i = Mult_W_W(wl3i, x3i) - Mult_W_W(wl3r, x3r);
|
|
a[j2 - 2] = y0r + y2r;
|
|
a[j2 - 1] = y0i + y2i;
|
|
a[j3 - 2] = y0r - y2r;
|
|
a[j3 - 1] = y0i - y2i;
|
|
wk1r -= Mult_W_W(ss1, wl1i);
|
|
wk1i += Mult_W_W(ss1, wl1r);
|
|
wk3r -= Mult_W_W(ss3, wl3i);
|
|
wk3i += Mult_W_W(ss3, wl3r);
|
|
wd1r -= Mult_W_W(ss1, we1i);
|
|
wd1i += Mult_W_W(ss1, we1r);
|
|
wd3r -= Mult_W_W(ss3, we3i);
|
|
wd3i += Mult_W_W(ss3, we3r);
|
|
}
|
|
if (i0 == mh - 4) {
|
|
break;
|
|
}
|
|
}
|
|
wl1r = WR2500;
|
|
wl1i = WI2500;
|
|
j0 = mh;
|
|
j1 = j0 + m;
|
|
j2 = j1 + m;
|
|
j3 = j2 + m;
|
|
x0r = a[j0 - 2] - a[j2 - 1];
|
|
x0i = a[j0 - 1] + a[j2 - 2];
|
|
x1r = a[j0 - 2] + a[j2 - 1];
|
|
x1i = a[j0 - 1] - a[j2 - 2];
|
|
x2r = a[j1 - 2] - a[j3 - 1];
|
|
x2i = a[j1 - 1] + a[j3 - 2];
|
|
x3r = a[j1 - 2] + a[j3 - 1];
|
|
x3i = a[j1 - 1] - a[j3 - 2];
|
|
y0r = Mult_W_W(wk1r, x0r) - Mult_W_W(wk1i, x0i);
|
|
y0i = Mult_W_W(wk1r, x0i) + Mult_W_W(wk1i, x0r);
|
|
y2r = Mult_W_W(wd1r, x2r) - Mult_W_W(wd1i, x2i);
|
|
y2i = Mult_W_W(wd1r, x2i) + Mult_W_W(wd1i, x2r);
|
|
a[j0 - 2] = y0r + y2r;
|
|
a[j0 - 1] = y0i + y2i;
|
|
a[j1 - 2] = y0r - y2r;
|
|
a[j1 - 1] = y0i - y2i;
|
|
y0r = Mult_W_W(wk3r, x1r) + Mult_W_W(wk3i, x1i);
|
|
y0i = Mult_W_W(wk3r, x1i) - Mult_W_W(wk3i, x1r);
|
|
y2r = Mult_W_W(wd3r, x3r) + Mult_W_W(wd3i, x3i);
|
|
y2i = Mult_W_W(wd3r, x3i) - Mult_W_W(wd3i, x3r);
|
|
a[j2 - 2] = y0r + y2r;
|
|
a[j2 - 1] = y0i + y2i;
|
|
a[j3 - 2] = y0r - y2r;
|
|
a[j3 - 1] = y0i - y2i;
|
|
x0r = a[j0] - a[j2 + 1];
|
|
x0i = a[j0 + 1] + a[j2];
|
|
x1r = a[j0] + a[j2 + 1];
|
|
x1i = a[j0 + 1] - a[j2];
|
|
x2r = a[j1] - a[j3 + 1];
|
|
x2i = a[j1 + 1] + a[j3];
|
|
x3r = a[j1] + a[j3 + 1];
|
|
x3i = a[j1 + 1] - a[j3];
|
|
y0r = Mult_W_W(wl1r, x0r) - Mult_W_W(wl1i, x0i);
|
|
y0i = Mult_W_W(wl1r, x0i) + Mult_W_W(wl1i, x0r);
|
|
y2r = Mult_W_W(wl1i, x2r) - Mult_W_W(wl1r, x2i);
|
|
y2i = Mult_W_W(wl1i, x2i) + Mult_W_W(wl1r, x2r);
|
|
a[j0] = y0r + y2r;
|
|
a[j0 + 1] = y0i + y2i;
|
|
a[j1] = y0r - y2r;
|
|
a[j1 + 1] = y0i - y2i;
|
|
y0r = Mult_W_W(wl1i, x1r) - Mult_W_W(wl1r, x1i);
|
|
y0i = Mult_W_W(wl1i, x1i) + Mult_W_W(wl1r, x1r);
|
|
y2r = Mult_W_W(wl1r, x3r) - Mult_W_W(wl1i, x3i);
|
|
y2i = Mult_W_W(wl1r, x3i) + Mult_W_W(wl1i, x3r);
|
|
a[j2] = y0r - y2r;
|
|
a[j2 + 1] = y0i - y2i;
|
|
a[j3] = y0r + y2r;
|
|
a[j3 + 1] = y0i + y2i;
|
|
x0r = a[j0 + 2] - a[j2 + 3];
|
|
x0i = a[j0 + 3] + a[j2 + 2];
|
|
x1r = a[j0 + 2] + a[j2 + 3];
|
|
x1i = a[j0 + 3] - a[j2 + 2];
|
|
x2r = a[j1 + 2] - a[j3 + 3];
|
|
x2i = a[j1 + 3] + a[j3 + 2];
|
|
x3r = a[j1 + 2] + a[j3 + 3];
|
|
x3i = a[j1 + 3] - a[j3 + 2];
|
|
y0r = Mult_W_W(wd1i, x0r) - Mult_W_W(wd1r, x0i);
|
|
y0i = Mult_W_W(wd1i, x0i) + Mult_W_W(wd1r, x0r);
|
|
y2r = Mult_W_W(wk1i, x2r) - Mult_W_W(wk1r, x2i);
|
|
y2i = Mult_W_W(wk1i, x2i) + Mult_W_W(wk1r, x2r);
|
|
a[j0 + 2] = y0r + y2r;
|
|
a[j0 + 3] = y0i + y2i;
|
|
a[j1 + 2] = y0r - y2r;
|
|
a[j1 + 3] = y0i - y2i;
|
|
y0r = Mult_W_W(wd3i, x1r) + Mult_W_W(wd3r, x1i);
|
|
y0i = Mult_W_W(wd3i, x1i) - Mult_W_W(wd3r, x1r);
|
|
y2r = Mult_W_W(wk3i, x3r) + Mult_W_W(wk3r, x3i);
|
|
y2i = Mult_W_W(wk3i, x3i) - Mult_W_W(wk3r, x3r);
|
|
a[j2 + 2] = y0r + y2r;
|
|
a[j2 + 3] = y0i + y2i;
|
|
a[j3 + 2] = y0r - y2r;
|
|
a[j3 + 3] = y0i - y2i;
|
|
}
|
|
|
|
|
|
void cftfx41(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
|
|
if (n == 128) {
|
|
cftf161(a);
|
|
cftf162(&a[32]);
|
|
cftf161(&a[64]);
|
|
cftf161(&a[96]);
|
|
} else {
|
|
cftf081(a);
|
|
cftf082(&a[16]);
|
|
cftf081(&a[32]);
|
|
cftf081(&a[48]);
|
|
}
|
|
}
|
|
|
|
|
|
void cftf161(PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE wn4r, wk1r, wk1i,
|
|
x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i,
|
|
y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i,
|
|
y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i,
|
|
y8r, y8i, y9r, y9i, y10r, y10i, y11r, y11i,
|
|
y12r, y12i, y13r, y13i, y14r, y14i, y15r, y15i;
|
|
|
|
wn4r = WR5000;
|
|
wk1r = WR2500;
|
|
wk1i = WI2500;
|
|
x0r = a[0] + a[16];
|
|
x0i = a[1] + a[17];
|
|
x1r = a[0] - a[16];
|
|
x1i = a[1] - a[17];
|
|
x2r = a[8] + a[24];
|
|
x2i = a[9] + a[25];
|
|
x3r = a[8] - a[24];
|
|
x3i = a[9] - a[25];
|
|
y0r = x0r + x2r;
|
|
y0i = x0i + x2i;
|
|
y4r = x0r - x2r;
|
|
y4i = x0i - x2i;
|
|
y8r = x1r - x3i;
|
|
y8i = x1i + x3r;
|
|
y12r = x1r + x3i;
|
|
y12i = x1i - x3r;
|
|
x0r = a[2] + a[18];
|
|
x0i = a[3] + a[19];
|
|
x1r = a[2] - a[18];
|
|
x1i = a[3] - a[19];
|
|
x2r = a[10] + a[26];
|
|
x2i = a[11] + a[27];
|
|
x3r = a[10] - a[26];
|
|
x3i = a[11] - a[27];
|
|
y1r = x0r + x2r;
|
|
y1i = x0i + x2i;
|
|
y5r = x0r - x2r;
|
|
y5i = x0i - x2i;
|
|
x0r = x1r - x3i;
|
|
x0i = x1i + x3r;
|
|
y9r = Mult_W_W(wk1r, x0r) - Mult_W_W(wk1i, x0i);
|
|
y9i = Mult_W_W(wk1r, x0i) + Mult_W_W(wk1i, x0r);
|
|
x0r = x1r + x3i;
|
|
x0i = x1i - x3r;
|
|
y13r = Mult_W_W(wk1i, x0r) - Mult_W_W(wk1r, x0i);
|
|
y13i = Mult_W_W(wk1i, x0i) + Mult_W_W(wk1r, x0r);
|
|
x0r = a[4] + a[20];
|
|
x0i = a[5] + a[21];
|
|
x1r = a[4] - a[20];
|
|
x1i = a[5] - a[21];
|
|
x2r = a[12] + a[28];
|
|
x2i = a[13] + a[29];
|
|
x3r = a[12] - a[28];
|
|
x3i = a[13] - a[29];
|
|
y2r = x0r + x2r;
|
|
y2i = x0i + x2i;
|
|
y6r = x0r - x2r;
|
|
y6i = x0i - x2i;
|
|
x0r = x1r - x3i;
|
|
x0i = x1i + x3r;
|
|
y10r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
y10i = picofftsg_mult_w_a(wn4r, (x0i + x0r));
|
|
x0r = x1r + x3i;
|
|
x0i = x1i - x3r;
|
|
y14r = picofftsg_mult_w_a(wn4r, (x0r + x0i));
|
|
y14i = picofftsg_mult_w_a(wn4r, (x0i - x0r));
|
|
x0r = a[6] + a[22];
|
|
x0i = a[7] + a[23];
|
|
x1r = a[6] - a[22];
|
|
x1i = a[7] - a[23];
|
|
x2r = a[14] + a[30];
|
|
x2i = a[15] + a[31];
|
|
x3r = a[14] - a[30];
|
|
x3i = a[15] - a[31];
|
|
y3r = x0r + x2r;
|
|
y3i = x0i + x2i;
|
|
y7r = x0r - x2r;
|
|
y7i = x0i - x2i;
|
|
x0r = x1r - x3i;
|
|
x0i = x1i + x3r;
|
|
y11r = Mult_W_W(wk1i, x0r) - Mult_W_W(wk1r, x0i);
|
|
y11i = Mult_W_W(wk1i, x0i) + Mult_W_W(wk1r, x0r);
|
|
x0r = x1r + x3i;
|
|
x0i = x1i - x3r;
|
|
y15r = Mult_W_W(wk1r, x0r) - Mult_W_W(wk1i, x0i);
|
|
y15i = Mult_W_W(wk1r, x0i) + Mult_W_W(wk1i, x0r);
|
|
x0r = y12r - y14r;
|
|
x0i = y12i - y14i;
|
|
x1r = y12r + y14r;
|
|
x1i = y12i + y14i;
|
|
x2r = y13r - y15r;
|
|
x2i = y13i - y15i;
|
|
x3r = y13r + y15r;
|
|
x3i = y13i + y15i;
|
|
a[24] = x0r + x2r;
|
|
a[25] = x0i + x2i;
|
|
a[26] = x0r - x2r;
|
|
a[27] = x0i - x2i;
|
|
a[28] = x1r - x3i;
|
|
a[29] = x1i + x3r;
|
|
a[30] = x1r + x3i;
|
|
a[31] = x1i - x3r;
|
|
x0r = y8r + y10r;
|
|
x0i = y8i + y10i;
|
|
x1r = y8r - y10r;
|
|
x1i = y8i - y10i;
|
|
x2r = y9r + y11r;
|
|
x2i = y9i + y11i;
|
|
x3r = y9r - y11r;
|
|
x3i = y9i - y11i;
|
|
a[16] = x0r + x2r;
|
|
a[17] = x0i + x2i;
|
|
a[18] = x0r - x2r;
|
|
a[19] = x0i - x2i;
|
|
a[20] = x1r - x3i;
|
|
a[21] = x1i + x3r;
|
|
a[22] = x1r + x3i;
|
|
a[23] = x1i - x3r;
|
|
x0r = y5r - y7i;
|
|
x0i = y5i + y7r;
|
|
x2r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
x2i = picofftsg_mult_w_a(wn4r, (x0i + x0r));
|
|
x0r = y5r + y7i;
|
|
x0i = y5i - y7r;
|
|
x3r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
x3i = picofftsg_mult_w_a(wn4r, (x0i + x0r));
|
|
x0r = y4r - y6i;
|
|
x0i = y4i + y6r;
|
|
x1r = y4r + y6i;
|
|
x1i = y4i - y6r;
|
|
a[8] = x0r + x2r;
|
|
a[9] = x0i + x2i;
|
|
a[10] = x0r - x2r;
|
|
a[11] = x0i - x2i;
|
|
a[12] = x1r - x3i;
|
|
a[13] = x1i + x3r;
|
|
a[14] = x1r + x3i;
|
|
a[15] = x1i - x3r;
|
|
x0r = y0r + y2r;
|
|
x0i = y0i + y2i;
|
|
x1r = y0r - y2r;
|
|
x1i = y0i - y2i;
|
|
x2r = y1r + y3r;
|
|
x2i = y1i + y3i;
|
|
x3r = y1r - y3r;
|
|
x3i = y1i - y3i;
|
|
a[0] = x0r + x2r;
|
|
a[1] = x0i + x2i;
|
|
a[2] = x0r - x2r;
|
|
a[3] = x0i - x2i;
|
|
a[4] = x1r - x3i;
|
|
a[5] = x1i + x3r;
|
|
a[6] = x1r + x3i;
|
|
a[7] = x1i - x3r;
|
|
}
|
|
|
|
|
|
void cftf162(PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE wn4r, wk1r, wk1i, wk2r, wk2i, wk3r, wk3i,
|
|
x0r, x0i, x1r, x1i, x2r, x2i,
|
|
y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i,
|
|
y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i,
|
|
y8r, y8i, y9r, y9i, y10r, y10i, y11r, y11i,
|
|
y12r, y12i, y13r, y13i, y14r, y14i, y15r, y15i;
|
|
|
|
wn4r = WR5000;
|
|
wk1r = WR1250;
|
|
wk1i = WI1250;
|
|
wk2r = WR2500;
|
|
wk2i = WI2500;
|
|
wk3r = WR3750;
|
|
wk3i = WI3750;
|
|
x1r = a[0] - a[17];
|
|
x1i = a[1] + a[16];
|
|
x0r = a[8] - a[25];
|
|
x0i = a[9] + a[24];
|
|
x2r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
x2i = picofftsg_mult_w_a(wn4r, (x0i + x0r));
|
|
y0r = x1r + x2r;
|
|
y0i = x1i + x2i;
|
|
y4r = x1r - x2r;
|
|
y4i = x1i - x2i;
|
|
x1r = a[0] + a[17];
|
|
x1i = a[1] - a[16];
|
|
x0r = a[8] + a[25];
|
|
x0i = a[9] - a[24];
|
|
x2r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
x2i = picofftsg_mult_w_a(wn4r, (x0i + x0r));
|
|
y8r = x1r - x2i;
|
|
y8i = x1i + x2r;
|
|
y12r = x1r + x2i;
|
|
y12i = x1i - x2r;
|
|
x0r = a[2] - a[19];
|
|
x0i = a[3] + a[18];
|
|
x1r = Mult_W_W(wk1r, x0r) - Mult_W_W(wk1i, x0i);
|
|
x1i = Mult_W_W(wk1r, x0i) + Mult_W_W(wk1i, x0r);
|
|
x0r = a[10] - a[27];
|
|
x0i = a[11] + a[26];
|
|
x2r = Mult_W_W(wk3i, x0r) - Mult_W_W(wk3r, x0i);
|
|
x2i = Mult_W_W(wk3i, x0i) + Mult_W_W(wk3r, x0r);
|
|
y1r = x1r + x2r;
|
|
y1i = x1i + x2i;
|
|
y5r = x1r - x2r;
|
|
y5i = x1i - x2i;
|
|
x0r = a[2] + a[19];
|
|
x0i = a[3] - a[18];
|
|
x1r = Mult_W_W(wk3r, x0r) - Mult_W_W(wk3i, x0i);
|
|
x1i = Mult_W_W(wk3r, x0i) + Mult_W_W(wk3i, x0r);
|
|
x0r = a[10] + a[27];
|
|
x0i = a[11] - a[26];
|
|
x2r = Mult_W_W(wk1r, x0r) + Mult_W_W(wk1i, x0i);
|
|
x2i = Mult_W_W(wk1r, x0i) - Mult_W_W(wk1i, x0r);
|
|
y9r = x1r - x2r;
|
|
y9i = x1i - x2i;
|
|
y13r = x1r + x2r;
|
|
y13i = x1i + x2i;
|
|
x0r = a[4] - a[21];
|
|
x0i = a[5] + a[20];
|
|
x1r = Mult_W_W(wk2r, x0r) - Mult_W_W(wk2i, x0i);
|
|
x1i = Mult_W_W(wk2r, x0i) + Mult_W_W(wk2i, x0r);
|
|
x0r = a[12] - a[29];
|
|
x0i = a[13] + a[28];
|
|
x2r = Mult_W_W(wk2i, x0r) - Mult_W_W(wk2r, x0i);
|
|
x2i = Mult_W_W(wk2i, x0i) + Mult_W_W(wk2r, x0r);
|
|
y2r = x1r + x2r;
|
|
y2i = x1i + x2i;
|
|
y6r = x1r - x2r;
|
|
y6i = x1i - x2i;
|
|
x0r = a[4] + a[21];
|
|
x0i = a[5] - a[20];
|
|
x1r = Mult_W_W(wk2i, x0r) - Mult_W_W(wk2r, x0i);
|
|
x1i = Mult_W_W(wk2i, x0i) + Mult_W_W(wk2r, x0r);
|
|
x0r = a[12] + a[29];
|
|
x0i = a[13] - a[28];
|
|
x2r = Mult_W_W(wk2r, x0r) - Mult_W_W(wk2i, x0i);
|
|
x2i = Mult_W_W(wk2r, x0i) + Mult_W_W(wk2i, x0r);
|
|
y10r = x1r - x2r;
|
|
y10i = x1i - x2i;
|
|
y14r = x1r + x2r;
|
|
y14i = x1i + x2i;
|
|
x0r = a[6] - a[23];
|
|
x0i = a[7] + a[22];
|
|
x1r = Mult_W_W(wk3r, x0r) - Mult_W_W(wk3i, x0i);
|
|
x1i = Mult_W_W(wk3r, x0i) + Mult_W_W(wk3i, x0r);
|
|
x0r = a[14] - a[31];
|
|
x0i = a[15] + a[30];
|
|
x2r = Mult_W_W(wk1i, x0r) - Mult_W_W(wk1r, x0i);
|
|
x2i = Mult_W_W(wk1i, x0i) + Mult_W_W(wk1r, x0r);
|
|
y3r = x1r + x2r;
|
|
y3i = x1i + x2i;
|
|
y7r = x1r - x2r;
|
|
y7i = x1i - x2i;
|
|
x0r = a[6] + a[23];
|
|
x0i = a[7] - a[22];
|
|
x1r = Mult_W_W(wk1i, x0r) + Mult_W_W(wk1r, x0i);
|
|
x1i = Mult_W_W(wk1i, x0i) - Mult_W_W(wk1r, x0r);
|
|
x0r = a[14] + a[31];
|
|
x0i = a[15] - a[30];
|
|
x2r = Mult_W_W(wk3i, x0r) - Mult_W_W(wk3r, x0i);
|
|
x2i = Mult_W_W(wk3i, x0i) + Mult_W_W(wk3r, x0r);
|
|
y11r = x1r + x2r;
|
|
y11i = x1i + x2i;
|
|
y15r = x1r - x2r;
|
|
y15i = x1i - x2i;
|
|
x1r = y0r + y2r;
|
|
x1i = y0i + y2i;
|
|
x2r = y1r + y3r;
|
|
x2i = y1i + y3i;
|
|
a[0] = x1r + x2r;
|
|
a[1] = x1i + x2i;
|
|
a[2] = x1r - x2r;
|
|
a[3] = x1i - x2i;
|
|
x1r = y0r - y2r;
|
|
x1i = y0i - y2i;
|
|
x2r = y1r - y3r;
|
|
x2i = y1i - y3i;
|
|
a[4] = x1r - x2i;
|
|
a[5] = x1i + x2r;
|
|
a[6] = x1r + x2i;
|
|
a[7] = x1i - x2r;
|
|
x1r = y4r - y6i;
|
|
x1i = y4i + y6r;
|
|
x0r = y5r - y7i;
|
|
x0i = y5i + y7r;
|
|
x2r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
x2i = picofftsg_mult_w_a(wn4r, (x0i + x0r));
|
|
a[8] = x1r + x2r;
|
|
a[9] = x1i + x2i;
|
|
a[10] = x1r - x2r;
|
|
a[11] = x1i - x2i;
|
|
x1r = y4r + y6i;
|
|
x1i = y4i - y6r;
|
|
x0r = y5r + y7i;
|
|
x0i = y5i - y7r;
|
|
x2r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
x2i = picofftsg_mult_w_a(wn4r, (x0i + x0r));
|
|
a[12] = x1r - x2i;
|
|
a[13] = x1i + x2r;
|
|
a[14] = x1r + x2i;
|
|
a[15] = x1i - x2r;
|
|
x1r = y8r + y10r;
|
|
x1i = y8i + y10i;
|
|
x2r = y9r - y11r;
|
|
x2i = y9i - y11i;
|
|
a[16] = x1r + x2r;
|
|
a[17] = x1i + x2i;
|
|
a[18] = x1r - x2r;
|
|
a[19] = x1i - x2i;
|
|
x1r = y8r - y10r;
|
|
x1i = y8i - y10i;
|
|
x2r = y9r + y11r;
|
|
x2i = y9i + y11i;
|
|
a[20] = x1r - x2i;
|
|
a[21] = x1i + x2r;
|
|
a[22] = x1r + x2i;
|
|
a[23] = x1i - x2r;
|
|
x1r = y12r - y14i;
|
|
x1i = y12i + y14r;
|
|
x0r = y13r + y15i;
|
|
x0i = y13i - y15r;
|
|
x2r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
x2i = picofftsg_mult_w_a(wn4r, (x0i + x0r));
|
|
a[24] = x1r + x2r;
|
|
a[25] = x1i + x2i;
|
|
a[26] = x1r - x2r;
|
|
a[27] = x1i - x2i;
|
|
x1r = y12r + y14i;
|
|
x1i = y12i - y14r;
|
|
x0r = y13r - y15i;
|
|
x0i = y13i + y15r;
|
|
x2r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
x2i = picofftsg_mult_w_a(wn4r, (x0i + x0r));
|
|
a[28] = x1r - x2i;
|
|
a[29] = x1i + x2r;
|
|
a[30] = x1r + x2i;
|
|
a[31] = x1i - x2r;
|
|
}
|
|
|
|
|
|
void cftf081(PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE wn4r, x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i,
|
|
y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i,
|
|
y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i;
|
|
|
|
wn4r = WR5000;
|
|
x0r = a[0] + a[8];
|
|
x0i = a[1] + a[9];
|
|
x1r = a[0] - a[8];
|
|
x1i = a[1] - a[9];
|
|
x2r = a[4] + a[12];
|
|
x2i = a[5] + a[13];
|
|
x3r = a[4] - a[12];
|
|
x3i = a[5] - a[13];
|
|
y0r = x0r + x2r;
|
|
y0i = x0i + x2i;
|
|
y2r = x0r - x2r;
|
|
y2i = x0i - x2i;
|
|
y1r = x1r - x3i;
|
|
y1i = x1i + x3r;
|
|
y3r = x1r + x3i;
|
|
y3i = x1i - x3r;
|
|
x0r = a[2] + a[10];
|
|
x0i = a[3] + a[11];
|
|
x1r = a[2] - a[10];
|
|
x1i = a[3] - a[11];
|
|
x2r = a[6] + a[14];
|
|
x2i = a[7] + a[15];
|
|
x3r = a[6] - a[14];
|
|
x3i = a[7] - a[15];
|
|
y4r = x0r + x2r;
|
|
y4i = x0i + x2i;
|
|
y6r = x0r - x2r;
|
|
y6i = x0i - x2i;
|
|
x0r = x1r - x3i;
|
|
x0i = x1i + x3r;
|
|
x2r = x1r + x3i;
|
|
x2i = x1i - x3r;
|
|
y5r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
y5i = picofftsg_mult_w_a(wn4r, (x0r + x0i));
|
|
y7r = picofftsg_mult_w_a(wn4r, (x2r - x2i));
|
|
y7i = picofftsg_mult_w_a(wn4r, (x2r + x2i));
|
|
a[8] = y1r + y5r;
|
|
a[9] = y1i + y5i;
|
|
a[10] = y1r - y5r;
|
|
a[11] = y1i - y5i;
|
|
a[12] = y3r - y7i;
|
|
a[13] = y3i + y7r;
|
|
a[14] = y3r + y7i;
|
|
a[15] = y3i - y7r;
|
|
a[0] = y0r + y4r;
|
|
a[1] = y0i + y4i;
|
|
a[2] = y0r - y4r;
|
|
a[3] = y0i - y4i;
|
|
a[4] = y2r - y6i;
|
|
a[5] = y2i + y6r;
|
|
a[6] = y2r + y6i;
|
|
a[7] = y2i - y6r;
|
|
}
|
|
|
|
|
|
void cftf082(PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE wn4r, wk1r, wk1i, x0r, x0i, x1r, x1i,
|
|
y0r, y0i, y1r, y1i, y2r, y2i, y3r, y3i,
|
|
y4r, y4i, y5r, y5i, y6r, y6i, y7r, y7i;
|
|
|
|
wn4r = WR5000;
|
|
wk1r = WR2500;
|
|
wk1i = WI2500;
|
|
y0r = a[0] - a[9];
|
|
y0i = a[1] + a[8];
|
|
y1r = a[0] + a[9];
|
|
y1i = a[1] - a[8];
|
|
x0r = a[4] - a[13];
|
|
x0i = a[5] + a[12];
|
|
y2r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
y2i = picofftsg_mult_w_a(wn4r, (x0i + x0r));
|
|
x0r = a[4] + a[13];
|
|
x0i = a[5] - a[12];
|
|
y3r = picofftsg_mult_w_a(wn4r, (x0r - x0i));
|
|
y3i = picofftsg_mult_w_a(wn4r, (x0i + x0r));
|
|
x0r = a[2] - a[11];
|
|
x0i = a[3] + a[10];
|
|
y4r = Mult_W_W(wk1r, x0r) - Mult_W_W(wk1i, x0i);
|
|
y4i = Mult_W_W(wk1r, x0i) + Mult_W_W(wk1i, x0r);
|
|
x0r = a[2] + a[11];
|
|
x0i = a[3] - a[10];
|
|
y5r = Mult_W_W(wk1i, x0r) - Mult_W_W(wk1r, x0i);
|
|
y5i = Mult_W_W(wk1i, x0i) + Mult_W_W(wk1r, x0r);
|
|
x0r = a[6] - a[15];
|
|
x0i = a[7] + a[14];
|
|
y6r = Mult_W_W(wk1i, x0r) - Mult_W_W(wk1r, x0i);
|
|
y6i = Mult_W_W(wk1i, x0i) + Mult_W_W(wk1r, x0r);
|
|
x0r = a[6] + a[15];
|
|
x0i = a[7] - a[14];
|
|
y7r = Mult_W_W(wk1r, x0r) - Mult_W_W(wk1i, x0i);
|
|
y7i = Mult_W_W(wk1r, x0i) + Mult_W_W(wk1i, x0r);
|
|
x0r = y0r + y2r;
|
|
x0i = y0i + y2i;
|
|
x1r = y4r + y6r;
|
|
x1i = y4i + y6i;
|
|
a[0] = x0r + x1r;
|
|
a[1] = x0i + x1i;
|
|
a[2] = x0r - x1r;
|
|
a[3] = x0i - x1i;
|
|
x0r = y0r - y2r;
|
|
x0i = y0i - y2i;
|
|
x1r = y4r - y6r;
|
|
x1i = y4i - y6i;
|
|
a[4] = x0r - x1i;
|
|
a[5] = x0i + x1r;
|
|
a[6] = x0r + x1i;
|
|
a[7] = x0i - x1r;
|
|
x0r = y1r - y3i;
|
|
x0i = y1i + y3r;
|
|
x1r = y5r - y7r;
|
|
x1i = y5i - y7i;
|
|
a[8] = x0r + x1r;
|
|
a[9] = x0i + x1i;
|
|
a[10] = x0r - x1r;
|
|
a[11] = x0i - x1i;
|
|
x0r = y1r + y3i;
|
|
x0i = y1i - y3r;
|
|
x1r = y5r + y7r;
|
|
x1i = y5i + y7i;
|
|
a[12] = x0r - x1i;
|
|
a[13] = x0i + x1r;
|
|
a[14] = x0r + x1i;
|
|
a[15] = x0i - x1r;
|
|
}
|
|
|
|
|
|
void cftf040(PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;
|
|
|
|
x0r = a[0] + a[4];
|
|
x0i = a[1] + a[5];
|
|
x1r = a[0] - a[4];
|
|
x1i = a[1] - a[5];
|
|
x2r = a[2] + a[6];
|
|
x2i = a[3] + a[7];
|
|
x3r = a[2] - a[6];
|
|
x3i = a[3] - a[7];
|
|
a[0] = x0r + x2r;
|
|
a[1] = x0i + x2i;
|
|
a[2] = x1r - x3i;
|
|
a[3] = x1i + x3r;
|
|
a[4] = x0r - x2r;
|
|
a[5] = x0i - x2i;
|
|
a[6] = x1r + x3i;
|
|
a[7] = x1i - x3r;
|
|
}
|
|
|
|
|
|
void cftb040(PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;
|
|
|
|
x0r = a[0] + a[4];
|
|
x0i = a[1] + a[5];
|
|
x1r = a[0] - a[4];
|
|
x1i = a[1] - a[5];
|
|
x2r = a[2] + a[6];
|
|
x2i = a[3] + a[7];
|
|
x3r = a[2] - a[6];
|
|
x3i = a[3] - a[7];
|
|
a[0] = x0r + x2r;
|
|
a[1] = x0i + x2i;
|
|
a[2] = x1r + x3i;
|
|
a[3] = x1i - x3r;
|
|
a[4] = x0r - x2r;
|
|
a[5] = x0i - x2i;
|
|
a[6] = x1r - x3i;
|
|
a[7] = x1i + x3r;
|
|
}
|
|
|
|
|
|
void cftx020(PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
PICOFFTSG_FFTTYPE x0r, x0i;
|
|
|
|
x0r = a[0] - a[2];
|
|
x0i = a[1] - a[3];
|
|
a[0] += a[2];
|
|
a[1] += a[3];
|
|
a[2] = x0r;
|
|
a[3] = x0i;
|
|
}
|
|
|
|
|
|
void rftfsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 i, i0, j, k;
|
|
PICOFFTSG_FFTTYPE w1r, w1i, wkr, wki, wdr, wdi, ss, xr, xi, yr, yi;
|
|
|
|
wkr = 0;
|
|
wki = 0;
|
|
|
|
switch (n) {
|
|
case 8 :
|
|
wdi=(PICOFFTSG_FFTTYPE)(0.353553414345*PICODSP_WGT_SHIFT); wdr=(PICOFFTSG_FFTTYPE)(0.146446630359*PICODSP_WGT_SHIFT);
|
|
w1r=(PICOFFTSG_FFTTYPE)(0.707106709480*PICODSP_WGT_SHIFT); w1i=(PICOFFTSG_FFTTYPE)(0.707106828690*PICODSP_WGT_SHIFT);
|
|
ss =(PICOFFTSG_FFTTYPE)(1.414213657379*PICODSP_WGT_SHIFT); break;
|
|
case 16 :
|
|
wdi=(PICOFFTSG_FFTTYPE)(0.191341713071*PICODSP_WGT_SHIFT); wdr=(PICOFFTSG_FFTTYPE)(0.038060232997*PICODSP_WGT_SHIFT);
|
|
w1r=(PICOFFTSG_FFTTYPE)(0.923879504204*PICODSP_WGT_SHIFT); w1i=(PICOFFTSG_FFTTYPE)(0.382683426142*PICODSP_WGT_SHIFT);
|
|
ss =(PICOFFTSG_FFTTYPE)(0.765366852283*PICODSP_WGT_SHIFT); break;
|
|
case 32 :
|
|
wdi=(PICOFFTSG_FFTTYPE)(0.097545161843*PICODSP_WGT_SHIFT); wdr=(PICOFFTSG_FFTTYPE)(0.009607359767*PICODSP_WGT_SHIFT);
|
|
w1r=(PICOFFTSG_FFTTYPE)(0.980785250664*PICODSP_WGT_SHIFT); w1i=(PICOFFTSG_FFTTYPE)(0.195090323687*PICODSP_WGT_SHIFT);
|
|
ss =(PICOFFTSG_FFTTYPE)(0.390180647373*PICODSP_WGT_SHIFT); break;
|
|
case 64 :
|
|
wdi=(PICOFFTSG_FFTTYPE)(0.049008570611*PICODSP_WGT_SHIFT); wdr=(PICOFFTSG_FFTTYPE)(0.002407636726*PICODSP_WGT_SHIFT);
|
|
w1r=(PICOFFTSG_FFTTYPE)(0.995184719563*PICODSP_WGT_SHIFT); w1i=(PICOFFTSG_FFTTYPE)(0.098017141223*PICODSP_WGT_SHIFT);
|
|
ss =(PICOFFTSG_FFTTYPE)(0.196034282446*PICODSP_WGT_SHIFT); break;
|
|
default :
|
|
wdr = 0; wdi = 0; ss = 0;
|
|
break;
|
|
}
|
|
|
|
i = n >> 1;
|
|
for (;;) {
|
|
i0 = i - RDFT_LOOP_DIV_4;
|
|
if (i0 < 4) {
|
|
i0 = 4;
|
|
}
|
|
for (j = i - 4; j >= i0; j -= 4) {
|
|
k = n - j;
|
|
xr = a[j + 2] - a[k - 2];
|
|
xi = a[j + 3] + a[k - 1];
|
|
yr = Mult_W_W(wdr, xr) - Mult_W_W(wdi, xi);
|
|
yi = Mult_W_W(wdr, xi) + Mult_W_W(wdi, xr);
|
|
a[j + 2] -= yr;
|
|
a[j + 3] -= yi;
|
|
a[k - 2] += yr;
|
|
a[k - 1] -= yi;
|
|
wkr += Mult_W_W(ss, wdi);
|
|
wki += picofftsg_mult_w_w(ss, (PICOFFTSG_WGT_SHIFT2 - wdr));
|
|
xr = a[j] - a[k];
|
|
xi = a[j + 1] + a[k + 1];
|
|
yr = Mult_W_W(wkr, xr) - Mult_W_W(wki, xi);
|
|
yi = Mult_W_W(wkr, xi) + Mult_W_W(wki, xr);
|
|
a[j] -= yr;
|
|
a[j + 1] -= yi;
|
|
a[k] += yr;
|
|
a[k + 1] -= yi;
|
|
wdr += Mult_W_W(ss, wki);
|
|
wdi += picofftsg_mult_w_w(ss, (PICOFFTSG_WGT_SHIFT2 - wkr));
|
|
}
|
|
if (i0 == 4) {
|
|
break;
|
|
}
|
|
}
|
|
|
|
xr = a[2] - a[n - 2];
|
|
xi = a[3] + a[n - 1];
|
|
yr = Mult_W_W(wdr, xr) - Mult_W_W(wdi, xi);
|
|
yi = Mult_W_W(wdr, xi) + Mult_W_W(wdi, xr);
|
|
|
|
a[2] -= yr;
|
|
a[3] -= yi;
|
|
a[n - 2] += yr;
|
|
a[n - 1] -= yi;
|
|
|
|
|
|
}
|
|
|
|
|
|
void rftbsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 i, i0, j, k;
|
|
PICOFFTSG_FFTTYPE w1r, w1i, wkr, wki, wdr, wdi, ss, xr, xi, yr, yi;
|
|
wkr = 0;
|
|
wki = 0;
|
|
wdi=(PICOFFTSG_FFTTYPE)(0.012270614505*PICODSP_WGT_SHIFT);
|
|
wdr=(PICOFFTSG_FFTTYPE)(0.000150590655*PICODSP_WGT_SHIFT);
|
|
w1r=(PICOFFTSG_FFTTYPE)(0.999698817730*PICODSP_WGT_SHIFT);
|
|
w1i=(PICOFFTSG_FFTTYPE)(0.024541229010*PICODSP_WGT_SHIFT);
|
|
ss=(PICOFFTSG_FFTTYPE)(0.049082458019*PICODSP_WGT_SHIFT);
|
|
|
|
i = n >> 1;
|
|
for (;;) {
|
|
i0 = i - RDFT_LOOP_DIV4;
|
|
if (i0 < 4) {
|
|
i0 = 4;
|
|
}
|
|
for (j = i - 4; j >= i0; j -= 4) {
|
|
k = n - j;
|
|
xr = a[j + 2] - a[k - 2];
|
|
xi = a[j + 3] + a[k - 1];
|
|
yr = Mult_W_W(wdr, xr) + Mult_W_W(wdi, xi);
|
|
yi = Mult_W_W(wdr, xi) - Mult_W_W(wdi, xr);
|
|
a[j + 2] -= yr;
|
|
a[j + 3] -= yi;
|
|
a[k - 2] += yr;
|
|
a[k - 1] -= yi;
|
|
wkr += Mult_W_W(ss, wdi);
|
|
wki += picofftsg_mult_w_w(ss, (PICOFFTSG_WGT_SHIFT2 - wdr));
|
|
xr = a[j] - a[k];
|
|
xi = a[j + 1] + a[k + 1];
|
|
yr = Mult_W_W(wkr, xr) + Mult_W_W(wki, xi);
|
|
yi = Mult_W_W(wkr, xi) - Mult_W_W(wki, xr);
|
|
a[j] -= yr;
|
|
a[j + 1] -= yi;
|
|
a[k] += yr;
|
|
a[k + 1] -= yi;
|
|
wdr += Mult_W_W(ss, wki);
|
|
wdi += picofftsg_mult_w_w(ss, (PICOFFTSG_WGT_SHIFT2 - wkr));
|
|
}
|
|
if (i0 == 4) {
|
|
break;
|
|
}
|
|
}
|
|
xr = a[2] - a[n - 2];
|
|
xi = a[3] + a[n - 1];
|
|
yr = Mult_W_W(wdr, xr) + Mult_W_W(wdi, xi);
|
|
yi = Mult_W_W(wdr, xi) - Mult_W_W(wdi, xr);
|
|
a[2] -= yr;
|
|
a[3] -= yi;
|
|
a[n - 2] += yr;
|
|
a[n - 1] -= yi;
|
|
}
|
|
|
|
|
|
void dctsub(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 i, i0, j, k, m;
|
|
PICOFFTSG_FFTTYPE w1r, w1i, wkr, wki, wdr, wdi, ss, xr, xi, yr, yi;
|
|
wkr = (PICOFFTSG_FFTTYPE)(0.5*PICODSP_WGT_SHIFT);
|
|
wki = (PICOFFTSG_FFTTYPE)(0.5*PICODSP_WGT_SHIFT);
|
|
|
|
switch (n) {
|
|
case 8 : wdi=(PICOFFTSG_FFTTYPE)(0.587937772274*PICODSP_WGT_SHIFT);
|
|
wdr=(PICOFFTSG_FFTTYPE)(0.392847478390*PICODSP_WGT_SHIFT); w1r=(PICOFFTSG_FFTTYPE)(0.980785250664*PICODSP_WGT_SHIFT);
|
|
w1i=(PICOFFTSG_FFTTYPE)(0.195090323687*PICODSP_WGT_SHIFT); ss =(PICOFFTSG_FFTTYPE)(0.390180647373*PICODSP_WGT_SHIFT); break;
|
|
case 16 : wdi=(PICOFFTSG_FFTTYPE)(0.546600937843*PICODSP_WGT_SHIFT);
|
|
wdr=(PICOFFTSG_FFTTYPE)(0.448583781719*PICODSP_WGT_SHIFT); w1r=(PICOFFTSG_FFTTYPE)(0.995184719563*PICODSP_WGT_SHIFT);
|
|
w1i=(PICOFFTSG_FFTTYPE)(0.098017141223*PICODSP_WGT_SHIFT); ss =(PICOFFTSG_FFTTYPE)(0.196034282446*PICODSP_WGT_SHIFT); break;
|
|
case 32 : wdi=(PICOFFTSG_FFTTYPE)(0.523931562901*PICODSP_WGT_SHIFT);
|
|
wdr=(PICOFFTSG_FFTTYPE)(0.474863886833*PICODSP_WGT_SHIFT); w1r=(PICOFFTSG_FFTTYPE)(0.998795449734*PICODSP_WGT_SHIFT);
|
|
w1i=(PICOFFTSG_FFTTYPE)(0.049067676067*PICODSP_WGT_SHIFT); ss =(PICOFFTSG_FFTTYPE)(0.098135352135*PICODSP_WGT_SHIFT); break;
|
|
case 64 : wdi=(PICOFFTSG_FFTTYPE)(0.512120008469*PICODSP_WGT_SHIFT);
|
|
wdr=(PICOFFTSG_FFTTYPE)(0.487578809261*PICODSP_WGT_SHIFT); w1r=(PICOFFTSG_FFTTYPE)(0.999698817730*PICODSP_WGT_SHIFT);
|
|
w1i=(PICOFFTSG_FFTTYPE)(0.024541229010*PICODSP_WGT_SHIFT); ss =(PICOFFTSG_FFTTYPE)(0.049082458019*PICODSP_WGT_SHIFT); break;
|
|
default:
|
|
wdr = 0; wdi = 0; ss = 0; break;
|
|
}
|
|
|
|
m = n >> 1;
|
|
i = 0;
|
|
for (;;) {
|
|
i0 = i + DCST_LOOP_DIV2;
|
|
if (i0 > m - 2) {
|
|
i0 = m - 2;
|
|
}
|
|
for (j = i + 2; j <= i0; j += 2) {
|
|
k = n - j;
|
|
xr = picofftsg_mult_w_a(wdi, a[j - 1]) - picofftsg_mult_w_a(wdr, a[k + 1]);
|
|
xi = picofftsg_mult_w_a(wdr, a[j - 1]) + picofftsg_mult_w_a(wdi, a[k + 1]);
|
|
wkr -= Mult_W_W(ss, wdi);
|
|
wki += Mult_W_W(ss, wdr);
|
|
yr = Mult_W_W(wki, a[j]) - Mult_W_W(wkr, a[k]);
|
|
yi = Mult_W_W(wkr, a[j]) + Mult_W_W(wki, a[k]);
|
|
wdr -= Mult_W_W(ss, wki);
|
|
wdi += Mult_W_W(ss, wkr);
|
|
a[k + 1] = xr;
|
|
a[k] = yr;
|
|
a[j - 1] = xi;
|
|
a[j] = yi;
|
|
}
|
|
if (i0 == m - 2) {
|
|
break;
|
|
}
|
|
}
|
|
xr = picofftsg_mult_w_a(wdi, a[m - 1]) - picofftsg_mult_w_a(wdr, a[m + 1]);
|
|
a[m - 1] = picofftsg_mult_w_a(wdr, a[m - 1]) + picofftsg_mult_w_a(wdi, a[m + 1]);
|
|
a[m + 1] = xr;
|
|
a[m] = Mult_W_W(WR5000, a[m]);
|
|
}
|
|
|
|
|
|
void dctsub4(picoos_int32 n, PICOFFTSG_FFTTYPE *a)
|
|
{
|
|
picoos_int32 m;
|
|
PICOFFTSG_FFTTYPE wki, wdr, wdi, xr;
|
|
|
|
wki = WR5000;
|
|
m = n >> 1;
|
|
if (m == 2) {
|
|
wdr = Mult_W_W(wki, WI2500);
|
|
wdi = Mult_W_W(wki, WR2500);
|
|
xr = Mult_W_W(wdi, a[1]) - Mult_W_W(wdr, a[3]);
|
|
a[1] = Mult_W_W(wdr, a[1]) + Mult_W_W(wdi, a[3]);
|
|
a[3] = xr;
|
|
}
|
|
a[m] = Mult_W_W(wki, a[m]);
|
|
}
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|