hermite.c
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- /* ***** BEGIN LICENSE BLOCK *****
- * Source last modified: $Id: hermite.c,v 1.9.32.1 2004/07/09 02:01:17 hubbe Exp $
- *
- * Portions Copyright (c) 1995-2004 RealNetworks, Inc. All Rights Reserved.
- *
- * The contents of this file, and the files included with this file,
- * are subject to the current version of the RealNetworks Public
- * Source License (the "RPSL") available at
- * http://www.helixcommunity.org/content/rpsl unless you have licensed
- * the file under the current version of the RealNetworks Community
- * Source License (the "RCSL") available at
- * http://www.helixcommunity.org/content/rcsl, in which case the RCSL
- * will apply. You may also obtain the license terms directly from
- * RealNetworks. You may not use this file except in compliance with
- * the RPSL or, if you have a valid RCSL with RealNetworks applicable
- * to this file, the RCSL. Please see the applicable RPSL or RCSL for
- * the rights, obligations and limitations governing use of the
- * contents of the file.
- *
- * Alternatively, the contents of this file may be used under the
- * terms of the GNU General Public License Version 2 or later (the
- * "GPL") in which case the provisions of the GPL are applicable
- * instead of those above. If you wish to allow use of your version of
- * this file only under the terms of the GPL, and not to allow others
- * to use your version of this file under the terms of either the RPSL
- * or RCSL, indicate your decision by deleting the provisions above
- * and replace them with the notice and other provisions required by
- * the GPL. If you do not delete the provisions above, a recipient may
- * use your version of this file under the terms of any one of the
- * RPSL, the RCSL or the GPL.
- *
- * This file is part of the Helix DNA Technology. RealNetworks is the
- * developer of the Original Code and owns the copyrights in the
- * portions it created.
- *
- * This file, and the files included with this file, is distributed
- * and made available on an 'AS IS' basis, WITHOUT WARRANTY OF ANY
- * KIND, EITHER EXPRESS OR IMPLIED, AND REALNETWORKS HEREBY DISCLAIMS
- * ALL SUCH WARRANTIES, INCLUDING WITHOUT LIMITATION, ANY WARRANTIES
- * OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, QUIET
- * ENJOYMENT OR NON-INFRINGEMENT.
- *
- * Technology Compatibility Kit Test Suite(s) Location:
- * http://www.helixcommunity.org/content/tck
- *
- * Contributor(s):
- *
- * ***** END LICENSE BLOCK ***** */
- /*
- * Sampling rate conversion, by polynomial interpolation.
- * Ken Cooke (kenc@real.com)
- */
- #include "hlxclib/stdlib.h"
- #include "hxtypes.h"
- #include "allresamplers.h"
- #include "math64.h"
- #define MAXRATE ((1<<23) - 1) /* sampling rates cannot exceed MAXRATE */
- #define MAXSAMPS ((1<<23) - 1) /* max outsamps for GetMinInput() */
- #define MAXCHANS 2
- /* interpolator state */
- typedef struct {
- int inrate;
- int outrate;
- int nchans;
- int time_i;
- UINT time_f;
- UINT step_i;
- UINT step_f;
- short hist[3*MAXCHANS]; /* input history */
- } STATE;
- /* Initialize Hermite resampler
- *
- * Parameters
- * ----------
- * int inrate sample rate of input (Hz)
- * int outrate desired sample rate of output (Hz)
- * int nchans number of channels
- *
- * return value instance pointer which will be passed in all future RAXXXHermite() function calls, 0 if error
- *
- * Notes
- * -----
- * - inrate, outrate, nchans must be within valid ranges (see below)
- * - inrate < outrate (i.e. upsampling only!)
- */
- void *
- RAInitResamplerHermite(int inrate, int outrate, int nchans)
- {
- STATE *s;
- UINT step_i, step_f, ratio, rem;
- int i;
- /* validate params */
- if ((inrate <= 0) || (inrate > MAXRATE) ||
- (outrate <= 0) || (outrate > MAXRATE))
- return 0;
- /* only allow downsampling on certain platforms
- * until we have a fixed point resampler that can
- * downsample properly. */
- #ifndef _SYMBIAN
- /* XXXgfw remove this when the new resampler is available. */
- if( inrate > outrate )
- {
- return 0;
- }
- #endif
-
- if ((nchans < 1) || (nchans > MAXCHANS))
- return 0;
- /* create interpolator state */
- s = (STATE *) malloc(sizeof(STATE));
- if (!s)
- return 0;
- /* Compute 64-bit timestep, as a signed integer and 32-bit fraction */
- step_i = inrate / outrate; /* integer part */
- rem = inrate;
- step_f = 0 ;
- for (i = 0; i < 4; i++) {
- rem <<= 8;
- ratio = rem / outrate;
- rem -= ratio * outrate;
- step_f = (step_f << 8) | (ratio & 0xff); /* 8 more fraction bits */
- }
- ASSERT(step_i == (UINT)((double)inrate/outrate));
- ASSERT(step_f == (UINT)(65536.*65536.*((double)inrate/outrate - step_i)));
- s->inrate = inrate;
- s->outrate = outrate;
- s->nchans = nchans;
- s->time_i = 0;
- s->time_f = 0;
- s->step_i = step_i;
- s->step_f = step_f;
- for (i = 0; i < (3*MAXCHANS); i++)
- s->hist[i] = 0;
- return (void *)s;
- }
- /* Initialize Hermite resampler from a copy, using its parameters.
- *
- * Parameters
- * ----------
- * inst instance pointer to a resampler to be used as template
- *
- * return value instance pointer which will be passed in all future RAXXXHermite() function calls, 0 if error
- */
- void *
- RAInitResamplerCopyHermite(int nchans, const void *inst)
- {
- STATE *s_in = (STATE *)inst;
- STATE *s_out = (STATE *)malloc(sizeof(STATE));
- if (s_in == 0 || s_out == 0)
- return 0;
- *s_out = *s_in ;
- s_out->nchans = nchans;
- return s_out;
- }
- /* Free memory associated with Hermite resampler
- *
- * Parameters
- * ----------
- * void *inst instance pointer
- *
- * return value none
- *
- * Notes
- * -----
- */
- void
- RAFreeResamplerHermite(void *inst)
- {
- STATE *s = (STATE *)inst;
- free(s);
- }
- /* Get max possible outsamps given insamps input
- *
- * Parameters
- * ----------
- * int insamps number of input samples
- * void *inst instance pointer
- *
- * return value maximum number of output samples generated by resampling insamps samples, -1 if error
- *
- * Notes
- * -----
- * - some alternate implementations are included as comments
- * these might be useful, depending on the target platform
- * - insamps must be even for stereo, function will exit with error if not
- */
- int RAGetMaxOutputHermite(int insamps, void *inst)
- {
- /* do an empty (null) resample of insamps samples */
- int inframes, outframes;
- UINT i, f;
- STATE *s = (STATE *)inst;
- if (s->nchans == 2 && insamps & 0x01)
- return -1;
- inframes = (s->nchans == 2 ? insamps >> 1 : insamps);
- for (i = f = outframes = 0; i < (UINT)inframes; outframes++) {
- f += s->step_f;
- i += s->step_i + (f < s->step_f); /* add with carry */
- }
- return (int)(outframes * s->nchans);
-
- /* equivalent method using __int64
- *
- * inframes = (s->nchans == 2 ? insamps >> 1 : insamps);
- * step64 = ((__int64)s->step_i << 32) + (__int64)s->step_f;
- * outframes = ( ((__int64)inframes << 32) + step64 - 1) / step64; COMMENT: ceiling
- * return (int)(outframes * s->nchans);
- */
- /* equivalent method using double-precision floats
- *
- * double step;
- * inframes = (s->nchans == 2 ? insamps >> 1 : insamps);
- * step = s->step_i + (s->step_f / 4294967296.0);
- * outframes = (int) ceil((double)inframes / step);
- * return (outframes * s->nchans);
- */
- }
- /* Get minimum number of input samples required to generate outsamps output samples
- *
- * Parameters
- * ----------
- * int outsamps number of desired output samples
- * void *inst instance pointer
- *
- * return value minimum number of input samples required to generate outsamps output samples, -1 if error
- *
- * Notes
- * -----
- * - some alternate implementations are included as comments
- * these might be useful, depending on the target platform
- * - outsamps must be even for stereo, function will exit with error if not
- */
- int
- RAGetMinInputHermite(int outsamps, void *inst)
- {
- UINT outframes;
- STATE *s = (STATE *)inst;
- UINT inframes, f, i;
- /* to ensure no overflow in multiply */
- if (outsamps > MAXSAMPS)
- return -1;
- if (s->nchans == 2 && outsamps & 0x01)
- return -1;
- outframes = (UINT)(s->nchans == 2 ? outsamps >> 1 : outsamps);
- inframes = 0;
- /* fractional part */
- f = s->step_f;
- for (i = 0; i < 4; i++) {
- inframes += outframes * (f & 0xff); /* add 24x8 partial product */
- inframes = (inframes + 0xff) >> 8; /* shift, rounding up */
- f >>= 8;
- }
- /* integer part */
- inframes += outframes * s->step_i;
- return (int)(inframes * s->nchans);
- /* equivalent method using __int64
- *
- * step64 = ((__int64)s->step_i << 32) + (__int64)s->step_f;
- * inframes = ( (__int64)outframes * step64);
- * inframes += (__int64)(0x00000000ffffffff); COMMENT: (add 1.0 - 2^-32 to 32.32 number)
- * return (int)((inframes >> 32) * s->nchans);
- */
- /* equivalent method using double-precision floats
- *
- * double step;
- * outframes = (s->nchans == 2 ? outsamps >> 1 : outsamps);
- * step = s->step_i + (s->step_f / 4294967296.0);
- * inframes = (int) ceil((double)outframes * step);
- * return (inframes * s->nchans);
- */
- /* equivalent method using an empty (null) resample
- *
- * outframes = (s->nchans == 2 ? outsamps >> 1 : outsamps);
- * for (i = f = currOut = 0; currOut < outframes; currOut++) {
- * f += s->step_f;
- * i += s->step_i + (f < s->step_f); COMMENT: add with carry
- * }
- * if (f) COMMENT: ceiling (if any fractional part, round up)
- * i++;
- * return (int)(i * s->nchans);
- */
- }
- /* Get number of frames of delay in the Hermite resampler
- *
- * Parameters
- * ----------
- * void *inst instance pointer
- *
- * return value frames of delay
- *
- * Notes
- * -----
- * - always two frames of delay (2 samples per channel)
- */
- int
- RAGetDelayHermite(void *inst)
- {
- return 2;
- }
- /* Cubic Hermite interpolation - one channel
- *
- * Parameters
- * ----------
- * void *inbuf pointer to buffer of input data (16-bit PCM)
- * int insamps number of samples in inbuf
- * cvtFunctionType cvt conversion function pointer, ignored
- * short *outbuf output buffer, must be large enough to hold RAGetMaxOutputHermite(insamps) samples
- * void *inst instance pointer
- *
- * return value number of output samples generated and placed in outbuf, -1 if error
- *
- * Notes
- * -----
- * - no restrictions on number of insamps
- * - inbuf MUST contain 16-bit PCM data, the cvt function is ignored
- */
- int
- RAResampleMonoHermite(void *inbuf, int insamps, tConverter *pCvt, short *outbuf, int outstride, void *inst)
- {
- STATE *s = (STATE *)inst;
- UINT f, step_i, step_f;
- int outsamps, i, acc0;
- int x0, x1, x2, x3, frac;
- short *inptr;
- /* restore state */
- i = s->time_i;
- f = s->time_f;
- step_i = s->step_i;
- step_f = s->step_f;
- outsamps = 0;
- inptr = (short *)inbuf;
- if (s->nchans != 1 || outstride != 1)
- return -1;
- /* mono */
- while (i < insamps) {
-
- if (i < 3) {
- x3 = (i < 3 ? s->hist[i+0] : inptr[i-3]) << 12;
- x2 = (i < 2 ? s->hist[i+1] : inptr[i-2]) << 12;
- x1 = (i < 1 ? s->hist[i+2] : inptr[i-1]) << 12;
- } else {
- x3 = inptr[i-3] << 12;
- x2 = inptr[i-2] << 12;
- x1 = inptr[i-1] << 12;
- }
- x0 = inptr[i] << 12;
- frac = f >> 1;
- /* 4-tap Hermite, using Farrow structure */
- acc0 = (3 * (x2 - x1) + x0 - x3) >> 1;
- acc0 = MulShift31(acc0, frac);
- acc0 += 2 * x1 + x3 - ((5 * x2 + x0) >> 1);
- acc0 = MulShift31(acc0, frac);
- acc0 += (x1 - x3) >> 1;
- acc0 = MulShift31(acc0, frac);
- acc0 += x2;
- f += step_f;
- i += step_i + (f < step_f); /* add with carry */
- acc0 = (acc0 + (1<<11)) >> 12;
- if (acc0 > +32767) acc0 = +32767;
- if (acc0 < -32768) acc0 = -32768;
- outbuf[outsamps++] = (short)acc0;
- }
- /* save delay samples for next time (hist[0] = oldest, hist[2] = newest) */
- s->hist[0] = (insamps < 3 ? s->hist[insamps+0] : inptr[insamps-3]);
- s->hist[1] = (insamps < 2 ? s->hist[insamps+1] : inptr[insamps-2]);
- s->hist[2] = (insamps < 1 ? s->hist[insamps+2] : inptr[insamps-1]);
- /* save state */
- s->time_f = f;
- s->time_i = i - insamps;
- return outsamps;
- }
- /* Cubic Hermite interpolation - two channels
- *
- * Parameters
- * ----------
- * void *inbuf pointer to buffer of input data (16-bit PCM, interleaved LRLRLR...)
- * int insamps number of samples in inbuf
- * cvtFunctionType cvt conversion function pointer, ignored
- * short *outbuf output buffer, must be large enough to hold RAGetMaxOutputHermite(insamps) samples
- * void *inst instance pointer
- *
- * return value number of output samples generated and placed in outbuf, -1 if error
- *
- * Notes
- * -----
- * - no restrictions on number of insamps
- * - inbuf MUST contain 16-bit PCM data, the cvt function is ignored
- * - insamps must be even, function will exit with error if not
- */
- int
- RAResampleStereoHermite(void *inbuf, int insamps, tConverter *pCvt, short *outbuf, int outstride, void *inst)
- {
- STATE *s = (STATE *)inst;
- UINT f, step_i, step_f;
- int outsamps, i, acc0, acc1, j;
- int x0, x1, x2, x3, frac;
- short *inptr;
- /* restore state */
- i = s->time_i;
- f = s->time_f;
- step_i = s->step_i;
- step_f = s->step_f;
- outsamps = 0;
- inptr = (short *)inbuf;
- /* fail if odd number of input samples */
- if (s->nchans != 2 || insamps & 0x01 || outstride != 2)
- return -1;
- /* stereo - assume insamps is even */
- insamps /= 2; /* number of stereo frames - consume samples two at a time */
- while (i < insamps) {
- frac = f >> 1;
- j = 2*i;
- /* left */
- if (i < 3) {
- x3 = (i < 3 ? s->hist[j+0] : inptr[j-6]) << 12;
- x2 = (i < 2 ? s->hist[j+2] : inptr[j-4]) << 12;
- x1 = (i < 1 ? s->hist[j+4] : inptr[j-2]) << 12;
- } else {
- x3 = inptr[j-6] << 12;
- x2 = inptr[j-4] << 12;
- x1 = inptr[j-2] << 12;
- }
- x0 = inptr[j] << 12;
- /* 4-tap Hermite, using Farrow structure */
- acc0 = (3 * (x2 - x1) + x0 - x3) >> 1;
- acc0 = MulShift31(acc0, frac);
- acc0 += 2 * x1 + x3 - ((5 * x2 + x0) >> 1);
- acc0 = MulShift31(acc0, frac);
- acc0 += (x1 - x3) >> 1;
- acc0 = MulShift31(acc0, frac);
- acc0 += x2;
- /* right */
- if (i < 3) {
- x3 = (i < 3 ? s->hist[j+1] : inptr[j-5]) << 12;
- x2 = (i < 2 ? s->hist[j+3] : inptr[j-3]) << 12;
- x1 = (i < 1 ? s->hist[j+5] : inptr[j-1]) << 12;
- } else {
- x3 = inptr[j-5] << 12;
- x2 = inptr[j-3] << 12;
- x1 = inptr[j-1] << 12;
- }
- x0 = inptr[j+1] << 12;
- /* 4-tap Hermite, using Farrow structure */
- acc1 = (3 * (x2 - x1) + x0 - x3) >> 1;
- acc1 = MulShift31(acc1, frac);
- acc1 += 2 * x1 + x3 - ((5 * x2 + x0) >> 1);
- acc1 = MulShift31(acc1, frac);
- acc1 += (x1 - x3) >> 1;
- acc1 = MulShift31(acc1, frac);
- acc1 += x2;
- f += step_f;
- i += step_i + (f < step_f); /* add with carry */
- acc0 = (acc0 + (1<<11)) >> 12;
- if (acc0 > +32767) acc0 = +32767;
- if (acc0 < -32768) acc0 = -32768;
- outbuf[outsamps++] = (short)acc0;
- acc1 = (acc1 + (1<<11)) >> 12;
- if (acc1 > +32767) acc1 = +32767;
- if (acc1 < -32768) acc1 = -32768;
- outbuf[outsamps++] = (short)acc1;
- }
- /* save delay samples for next time (hist[0] = oldest left, hist[1] = oldest right, ...) */
- s->hist[0] = (insamps < 3 ? s->hist[2*(insamps+0) + 0] : inptr[2*(insamps-3) + 0]);
- s->hist[2] = (insamps < 2 ? s->hist[2*(insamps+1) + 0] : inptr[2*(insamps-2) + 0]);
- s->hist[4] = (insamps < 1 ? s->hist[2*(insamps+2) + 0] : inptr[2*(insamps-1) + 0]);
- s->hist[1] = (insamps < 3 ? s->hist[2*(insamps+0) + 1] : inptr[2*(insamps-3) + 1]);
- s->hist[3] = (insamps < 2 ? s->hist[2*(insamps+1) + 1] : inptr[2*(insamps-2) + 1]);
- s->hist[5] = (insamps < 1 ? s->hist[2*(insamps+2) + 1] : inptr[2*(insamps-1) + 1]);
- /* save state */
- s->time_f = f;
- s->time_i = i - insamps;
- return outsamps;
- }