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-/* Copyright (c) 2007-2008 CSIRO
- Copyright (c) 2007-2008 Xiph.Org Foundation
- Written by Jean-Marc Valin */
-/*
- Redistribution and use in source and binary forms, with or without
- modification, are permitted provided that the following conditions
- are met:
-
- - Redistributions of source code must retain the above copyright
- notice, this list of conditions and the following disclaimer.
-
- - Redistributions in binary form must reproduce the above copyright
- notice, this list of conditions and the following disclaimer in the
- documentation and/or other materials provided with the distribution.
-
- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
- A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-*/
-
-/* This is a simple MDCT implementation that uses a N/4 complex FFT
- to do most of the work. It should be relatively straightforward to
- plug in pretty much and FFT here.
-
- This replaces the Vorbis FFT (and uses the exact same API), which
- was a bit too messy and that was ending up duplicating code
- (might as well use the same FFT everywhere).
-
- The algorithm is similar to (and inspired from) Fabrice Bellard's
- MDCT implementation in FFMPEG, but has differences in signs, ordering
- and scaling in many places.
-*/
-
-#ifndef SKIP_CONFIG_H
-#ifdef HAVE_CONFIG_H
-#include "config.h"
-#endif
-#endif
-
-#include "mdct.h"
-#include "kiss_fft.h"
-#include "_kiss_fft_guts.h"
-#include <math.h>
-#include "os_support.h"
-#include "mathops.h"
-#include "stack_alloc.h"
-
-#ifdef CUSTOM_MODES
-
-int clt_mdct_init(mdct_lookup *l,int N, int maxshift)
-{
- int i;
- int N4;
- kiss_twiddle_scalar *trig;
-#if defined(FIXED_POINT)
- int N2=N>>1;
-#endif
- l->n = N;
- N4 = N>>2;
- l->maxshift = maxshift;
- for (i=0;i<=maxshift;i++)
- {
- if (i==0)
- l->kfft[i] = opus_fft_alloc(N>>2>>i, 0, 0);
- else
- l->kfft[i] = opus_fft_alloc_twiddles(N>>2>>i, 0, 0, l->kfft[0]);
-#ifndef ENABLE_TI_DSPLIB55
- if (l->kfft[i]==NULL)
- return 0;
-#endif
- }
- l->trig = trig = (kiss_twiddle_scalar*)opus_alloc((N4+1)*sizeof(kiss_twiddle_scalar));
- if (l->trig==NULL)
- return 0;
- /* We have enough points that sine isn't necessary */
-#if defined(FIXED_POINT)
- for (i=0;i<=N4;i++)
- trig[i] = TRIG_UPSCALE*celt_cos_norm(DIV32(ADD32(SHL32(EXTEND32(i),17),N2),N));
-#else
- for (i=0;i<=N4;i++)
- trig[i] = (kiss_twiddle_scalar)cos(2*PI*i/N);
-#endif
- return 1;
-}
-
-void clt_mdct_clear(mdct_lookup *l)
-{
- int i;
- for (i=0;i<=l->maxshift;i++)
- opus_fft_free(l->kfft[i]);
- opus_free((kiss_twiddle_scalar*)l->trig);
-}
-
-#endif /* CUSTOM_MODES */
-
-/* Forward MDCT trashes the input array */
-void clt_mdct_forward(const mdct_lookup *l, kiss_fft_scalar *in, kiss_fft_scalar * OPUS_RESTRICT out,
- const opus_val16 *window, int overlap, int shift, int stride)
-{
- int i;
- int N, N2, N4;
- kiss_twiddle_scalar sine;
- VARDECL(kiss_fft_scalar, f);
- VARDECL(kiss_fft_scalar, f2);
- SAVE_STACK;
- N = l->n;
- N >>= shift;
- N2 = N>>1;
- N4 = N>>2;
- ALLOC(f, N2, kiss_fft_scalar);
- ALLOC(f2, N2, kiss_fft_scalar);
- /* sin(x) ~= x here */
-#ifdef FIXED_POINT
- sine = TRIG_UPSCALE*(QCONST16(0.7853981f, 15)+N2)/N;
-#else
- sine = (kiss_twiddle_scalar)2*PI*(.125f)/N;
-#endif
-
- /* Consider the input to be composed of four blocks: [a, b, c, d] */
- /* Window, shuffle, fold */
- {
- /* Temp pointers to make it really clear to the compiler what we're doing */
- const kiss_fft_scalar * OPUS_RESTRICT xp1 = in+(overlap>>1);
- const kiss_fft_scalar * OPUS_RESTRICT xp2 = in+N2-1+(overlap>>1);
- kiss_fft_scalar * OPUS_RESTRICT yp = f;
- const opus_val16 * OPUS_RESTRICT wp1 = window+(overlap>>1);
- const opus_val16 * OPUS_RESTRICT wp2 = window+(overlap>>1)-1;
- for(i=0;i<((overlap+3)>>2);i++)
- {
- /* Real part arranged as -d-cR, Imag part arranged as -b+aR*/
- *yp++ = MULT16_32_Q15(*wp2, xp1[N2]) + MULT16_32_Q15(*wp1,*xp2);
- *yp++ = MULT16_32_Q15(*wp1, *xp1) - MULT16_32_Q15(*wp2, xp2[-N2]);
- xp1+=2;
- xp2-=2;
- wp1+=2;
- wp2-=2;
- }
- wp1 = window;
- wp2 = window+overlap-1;
- for(;i<N4-((overlap+3)>>2);i++)
- {
- /* Real part arranged as a-bR, Imag part arranged as -c-dR */
- *yp++ = *xp2;
- *yp++ = *xp1;
- xp1+=2;
- xp2-=2;
- }
- for(;i<N4;i++)
- {
- /* Real part arranged as a-bR, Imag part arranged as -c-dR */
- *yp++ = -MULT16_32_Q15(*wp1, xp1[-N2]) + MULT16_32_Q15(*wp2, *xp2);
- *yp++ = MULT16_32_Q15(*wp2, *xp1) + MULT16_32_Q15(*wp1, xp2[N2]);
- xp1+=2;
- xp2-=2;
- wp1+=2;
- wp2-=2;
- }
- }
- /* Pre-rotation */
- {
- kiss_fft_scalar * OPUS_RESTRICT yp = f;
- const kiss_twiddle_scalar *t = &l->trig[0];
- for(i=0;i<N4;i++)
- {
- kiss_fft_scalar re, im, yr, yi;
- re = yp[0];
- im = yp[1];
- yr = -S_MUL(re,t[i<<shift]) - S_MUL(im,t[(N4-i)<<shift]);
- yi = -S_MUL(im,t[i<<shift]) + S_MUL(re,t[(N4-i)<<shift]);
- /* works because the cos is nearly one */
- *yp++ = yr + S_MUL(yi,sine);
- *yp++ = yi - S_MUL(yr,sine);
- }
- }
-
- /* N/4 complex FFT, down-scales by 4/N */
- opus_fft(l->kfft[shift], (kiss_fft_cpx *)f, (kiss_fft_cpx *)f2);
-
- /* Post-rotate */
- {
- /* Temp pointers to make it really clear to the compiler what we're doing */
- const kiss_fft_scalar * OPUS_RESTRICT fp = f2;
- kiss_fft_scalar * OPUS_RESTRICT yp1 = out;
- kiss_fft_scalar * OPUS_RESTRICT yp2 = out+stride*(N2-1);
- const kiss_twiddle_scalar *t = &l->trig[0];
- /* Temp pointers to make it really clear to the compiler what we're doing */
- for(i=0;i<N4;i++)
- {
- kiss_fft_scalar yr, yi;
- yr = S_MUL(fp[1],t[(N4-i)<<shift]) + S_MUL(fp[0],t[i<<shift]);
- yi = S_MUL(fp[0],t[(N4-i)<<shift]) - S_MUL(fp[1],t[i<<shift]);
- /* works because the cos is nearly one */
- *yp1 = yr - S_MUL(yi,sine);
- *yp2 = yi + S_MUL(yr,sine);;
- fp += 2;
- yp1 += 2*stride;
- yp2 -= 2*stride;
- }
- }
- RESTORE_STACK;
-}
-
-void clt_mdct_backward(const mdct_lookup *l, kiss_fft_scalar *in, kiss_fft_scalar * OPUS_RESTRICT out,
- const opus_val16 * OPUS_RESTRICT window, int overlap, int shift, int stride)
-{
- int i;
- int N, N2, N4;
- kiss_twiddle_scalar sine;
- VARDECL(kiss_fft_scalar, f2);
- SAVE_STACK;
- N = l->n;
- N >>= shift;
- N2 = N>>1;
- N4 = N>>2;
- ALLOC(f2, N2, kiss_fft_scalar);
- /* sin(x) ~= x here */
-#ifdef FIXED_POINT
- sine = TRIG_UPSCALE*(QCONST16(0.7853981f, 15)+N2)/N;
-#else
- sine = (kiss_twiddle_scalar)2*PI*(.125f)/N;
-#endif
-
- /* Pre-rotate */
- {
- /* Temp pointers to make it really clear to the compiler what we're doing */
- const kiss_fft_scalar * OPUS_RESTRICT xp1 = in;
- const kiss_fft_scalar * OPUS_RESTRICT xp2 = in+stride*(N2-1);
- kiss_fft_scalar * OPUS_RESTRICT yp = f2;
- const kiss_twiddle_scalar *t = &l->trig[0];
- for(i=0;i<N4;i++)
- {
- kiss_fft_scalar yr, yi;
- yr = -S_MUL(*xp2, t[i<<shift]) + S_MUL(*xp1,t[(N4-i)<<shift]);
- yi = -S_MUL(*xp2, t[(N4-i)<<shift]) - S_MUL(*xp1,t[i<<shift]);
- /* works because the cos is nearly one */
- *yp++ = yr - S_MUL(yi,sine);
- *yp++ = yi + S_MUL(yr,sine);
- xp1+=2*stride;
- xp2-=2*stride;
- }
- }
-
- /* Inverse N/4 complex FFT. This one should *not* downscale even in fixed-point */
- opus_ifft(l->kfft[shift], (kiss_fft_cpx *)f2, (kiss_fft_cpx *)(out+(overlap>>1)));
-
- /* Post-rotate and de-shuffle from both ends of the buffer at once to make
- it in-place. */
- {
- kiss_fft_scalar * OPUS_RESTRICT yp0 = out+(overlap>>1);
- kiss_fft_scalar * OPUS_RESTRICT yp1 = out+(overlap>>1)+N2-2;
- const kiss_twiddle_scalar *t = &l->trig[0];
- /* Loop to (N4+1)>>1 to handle odd N4. When N4 is odd, the
- middle pair will be computed twice. */
- for(i=0;i<(N4+1)>>1;i++)
- {
- kiss_fft_scalar re, im, yr, yi;
- kiss_twiddle_scalar t0, t1;
- re = yp0[0];
- im = yp0[1];
- t0 = t[i<<shift];
- t1 = t[(N4-i)<<shift];
- /* We'd scale up by 2 here, but instead it's done when mixing the windows */
- yr = S_MUL(re,t0) - S_MUL(im,t1);
- yi = S_MUL(im,t0) + S_MUL(re,t1);
- re = yp1[0];
- im = yp1[1];
- /* works because the cos is nearly one */
- yp0[0] = -(yr - S_MUL(yi,sine));
- yp1[1] = yi + S_MUL(yr,sine);
-
- t0 = t[(N4-i-1)<<shift];
- t1 = t[(i+1)<<shift];
- /* We'd scale up by 2 here, but instead it's done when mixing the windows */
- yr = S_MUL(re,t0) - S_MUL(im,t1);
- yi = S_MUL(im,t0) + S_MUL(re,t1);
- /* works because the cos is nearly one */
- yp1[0] = -(yr - S_MUL(yi,sine));
- yp0[1] = yi + S_MUL(yr,sine);
- yp0 += 2;
- yp1 -= 2;
- }
- }
-
- /* Mirror on both sides for TDAC */
- {
- kiss_fft_scalar * OPUS_RESTRICT xp1 = out+overlap-1;
- kiss_fft_scalar * OPUS_RESTRICT yp1 = out;
- const opus_val16 * OPUS_RESTRICT wp1 = window;
- const opus_val16 * OPUS_RESTRICT wp2 = window+overlap-1;
-
- for(i = 0; i < overlap/2; i++)
- {
- kiss_fft_scalar x1, x2;
- x1 = *xp1;
- x2 = *yp1;
- *yp1++ = MULT16_32_Q15(*wp2, x2) - MULT16_32_Q15(*wp1, x1);
- *xp1-- = MULT16_32_Q15(*wp1, x2) + MULT16_32_Q15(*wp2, x1);
- wp1++;
- wp2--;
- }
- }
- RESTORE_STACK;
-}
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