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Introduce new hermite polynomial resampler.
Uses the Catmull-Rom case of Hermite cubic splines. Vastly improves the quality and accuracy of audio resampling with a rather minor additional overhead compared to the previous linear implementation. ARM and Coldfire assembly implementations included. Change-Id: Ic45d84bc66c5b312ef373198297a952167a4be26 Reviewed-on: http://gerrit.rockbox.org/304 Reviewed-by: Michael Sevakis <jethead71@rockbox.org> Tested-by: Michael Sevakis <jethead71@rockbox.org>
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3 changed files with 537 additions and 254 deletions
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@ -9,6 +9,7 @@
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*
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* Copyright (C) 2005 Miika Pekkarinen
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* Copyright (C) 2012 Michael Sevakis
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* Copyright (C) 2013 Michael Giacomelli
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU General Public License
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@ -31,9 +32,7 @@
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* of our inability to look into the future at the end of a frame.
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*/
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#if 0 /* Set to '1' to enable debug messages */
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#include <debug.h>
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#else
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#if 1 /* Set to '0' to enable debug messages */
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#undef DEBUGF
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#define DEBUGF(...)
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#endif
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@ -46,24 +45,24 @@ static int32_t resample_out_bufs[3][RESAMPLE_BUF_COUNT] IBSS_ATTR;
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/* Data for each resampler on each DSP */
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static struct resample_data
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{
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uint32_t delta; /* 00h: Phase delta for each step */
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uint32_t phase; /* 04h: Current phase [pos16|frac16] */
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int32_t last_sample[2]; /* 08h: Last samples for interpolation (L+R) */
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/* 10h */
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int32_t frequency; /* Virtual samplerate */
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uint32_t delta; /* 00h: Phase delta for each step in s15.16*/
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uint32_t phase; /* 04h: Current phase [pos16|frac16] */
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int32_t history[2][3]; /* 08h: Last samples for interpolation (L+R)
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0 = oldest, 2 = newest */
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/* 20h */
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int32_t frequency; /* Virtual samplerate */
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struct dsp_buffer resample_buf; /* Buffer descriptor for resampled data */
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int32_t *resample_out_p[2]; /* Actual output buffer pointers */
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int32_t *resample_out_p[2]; /* Actual output buffer pointers */
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} resample_data[DSP_COUNT] IBSS_ATTR;
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/* Actual worker function. Implemented here or in target assembly code. */
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int resample_linear(struct resample_data *data, struct dsp_buffer *src,
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struct dsp_buffer *dst);
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int resample_hermite(struct resample_data *data, struct dsp_buffer *src,
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struct dsp_buffer *dst);
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static void resample_flush_data(struct resample_data *data)
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{
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data->phase = 0;
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data->last_sample[0] = 0;
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data->last_sample[1] = 0;
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memset(&data->history, 0, sizeof (data->history));
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}
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static void resample_flush(struct dsp_proc_entry *this)
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@ -84,8 +83,8 @@ static bool resample_new_delta(struct resample_data *data,
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if (frequency == NATIVE_FREQUENCY)
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{
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/* NOTE: If fully glitch-free transistions from no resampling to
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resampling are desired, last_sample history should be maintained
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even when not resampling. */
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resampling are desired, history should be maintained even when
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not resampling. */
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resample_flush_data(data);
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return false;
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}
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@ -94,9 +93,8 @@ static bool resample_new_delta(struct resample_data *data,
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}
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#if !defined(CPU_COLDFIRE) && !defined(CPU_ARM)
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/* Where the real work is done */
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int resample_linear(struct resample_data *data, struct dsp_buffer *src,
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struct dsp_buffer *dst)
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int resample_hermite(struct resample_data *data, struct dsp_buffer *src,
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struct dsp_buffer *dst)
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{
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int ch = src->format.num_channels - 1;
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uint32_t count = MIN(src->remcount, 0x8000);
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@ -111,35 +109,70 @@ int resample_linear(struct resample_data *data, struct dsp_buffer *src,
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d = dst->p32[ch];
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int32_t *dmax = d + dst->bufcount;
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/* Restore state */
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phase = data->phase;
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pos = phase >> 16;
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pos = MIN(pos, count);
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int32_t last = pos > 0 ? s[pos - 1] : data->last_sample[ch];
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if (pos < count)
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while (pos < count && d < dmax)
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{
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while (1)
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int x0, x1, x2, x3;
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if (pos < 3)
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{
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*d++ = last + FRACMUL((phase & 0xffff) << 15, s[pos] - last);
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phase += delta;
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pos = phase >> 16;
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if (pos >= count || d >= dmax)
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break;
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if (pos > 0)
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last = s[pos - 1];
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x3 = data->history[ch][pos+0];
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x2 = pos < 2 ? data->history[ch][pos+1] : s[pos-2];
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x1 = pos < 1 ? data->history[ch][pos+2] : s[pos-1];
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}
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else
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{
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x3 = s[pos-3];
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x2 = s[pos-2];
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x1 = s[pos-1];
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}
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if (pos > 0)
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{
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pos = MIN(pos, count);
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last = s[pos - 1];
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}
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x0 = s[pos];
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int32_t frac = (phase & 0xffff) << 15;
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/* 4-point, 3rd-order Hermite/Catmull-Rom spline (x-form):
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* c1 = -0.5*x3 + 0.5*x1
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* = 0.5*(x1 - x3) <--
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*
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* v = x1 - x2, -v = x2 - x1
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* c2 = x3 - 2.5*x2 + 2*x1 - 0.5*x0
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* = x3 + 2*(x1 - x2) - 0.5*(x0 + x2)
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* = x3 + 2*v - 0.5*(x0 + x2) <--
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*
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* c3 = -0.5*x3 + 1.5*x2 - 1.5*x1 + 0.5*x0
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* = 0.5*x0 - 0.5*x3 + 0.5*(x2 - x1) + (x2 - x1)
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* = 0.5*(x0 - x3 - v) - v <--
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*
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* polynomial coefficients */
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int32_t c1 = (x1 - x3) >> 1;
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int32_t v = x1 - x2;
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int32_t c2 = x3 + 2*v - ((x0 + x2) >> 1);
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int32_t c3 = ((x0 - x3 - v) >> 1) - v;
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/* Evaluate polynomial at time 'frac'; Horner's rule. */
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int32_t acc;
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acc = FRACMUL(c3, frac) + c2;
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acc = FRACMUL(acc, frac) + c1;
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acc = FRACMUL(acc, frac) + x2;
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*d++ = acc;
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phase += delta;
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pos = phase >> 16;
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}
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data->last_sample[ch] = last;
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pos = MIN(pos, count);
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/* Save delay samples for next time. Must do this even if pos was
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* clamped before loop in order to keep record up to date. */
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data->history[ch][0] = pos < 3 ? data->history[ch][pos+0] : s[pos-3];
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data->history[ch][1] = pos < 2 ? data->history[ch][pos+1] : s[pos-2];
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data->history[ch][2] = pos < 1 ? data->history[ch][pos+2] : s[pos-1];
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}
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while (--ch >= 0);
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@ -147,7 +180,6 @@ int resample_linear(struct resample_data *data, struct dsp_buffer *src,
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data->phase = phase - (pos << 16);
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dst->remcount = d - dst->p32[0];
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return pos;
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}
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#endif /* CPU */
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@ -175,7 +207,7 @@ static void resample_process(struct dsp_proc_entry *this,
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{
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dst->bufcount = RESAMPLE_BUF_COUNT;
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int consumed = resample_linear(data, src, dst);
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int consumed = resample_hermite(data, src, dst);
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/* Advance src by consumed amount */
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if (consumed > 0)
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