From 84b4b77d0eaf6533df04f173789bba881e11ba74 Mon Sep 17 00:00:00 2001 From: Benny Prijono Date: Sat, 7 Apr 2007 16:09:58 +0000 Subject: Brought back the old resample.c git-svn-id: http://svn.pjsip.org/repos/pjproject/branches/split-3rd-party@1173 74dad513-b988-da41-8d7b-12977e46ad98 --- pjmedia/src/pjmedia/largefilter.h | 16391 ++++++++++++++++++++++++++++++++++++ pjmedia/src/pjmedia/resample.c | 704 ++ pjmedia/src/pjmedia/smallfilter.h | 4617 ++++++++++ 3 files changed, 21712 insertions(+) create mode 100644 pjmedia/src/pjmedia/largefilter.h create mode 100644 pjmedia/src/pjmedia/resample.c create mode 100644 pjmedia/src/pjmedia/smallfilter.h diff --git a/pjmedia/src/pjmedia/largefilter.h b/pjmedia/src/pjmedia/largefilter.h new file mode 100644 index 00000000..1c3f7c0a --- /dev/null +++ b/pjmedia/src/pjmedia/largefilter.h @@ -0,0 +1,16391 @@ +/* Included by resamplesubs.c */ +#define LARGE_FILTER_NMULT ((RES_HWORD)65) +#define LARGE_FILTER_SCALE 14746 /* Unity-gain scale factor */ +#define LARGE_FILTER_NWING 8192 /* Filter table length */ +static const RES_HWORD LARGE_FILTER_IMP[] /* Impulse response */ = { +32767, +32766, +32764, +32761, +32756, +32750, +32743, +32734, +32724, +32713, +32700, +32686, +32671, +32654, +32636, +32617, +32596, +32574, +32551, +32526, +32500, +32473, +32445, +32415, +32383, +32351, +32317, +32282, +32246, +32208, +32169, +32129, +32087, +32044, +32000, +31955, +31908, +31860, +31811, +31760, +31708, +31655, +31601, +31545, +31489, +31431, +31371, +31311, +31249, +31186, +31122, +31056, +30990, +30922, +30853, +30783, +30711, +30639, +30565, +30490, +30414, +30337, +30258, +30179, +30098, +30016, +29933, +29849, +29764, +29677, +29590, +29501, +29411, +29321, +29229, +29136, +29042, +28947, +28851, +28753, +28655, +28556, +28456, +28354, +28252, +28149, +28044, +27939, +27833, +27725, +27617, +27508, +27398, +27287, +27175, +27062, +26948, +26833, +26717, +26601, +26483, +26365, +26246, +26125, +26005, +25883, +25760, +25637, +25512, 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the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + */ + +/* + * Based on: + * resample-1.8.tar.gz from the + * Digital Audio Resampling Home Page located at + * http://www-ccrma.stanford.edu/~jos/resample/. + * + * SOFTWARE FOR SAMPLING-RATE CONVERSION AND FIR DIGITAL FILTER DESIGN + * + * Snippet from the resample.1 man page: + * + * HISTORY + * + * The first version of this software was written by Julius O. Smith III + * at CCRMA in + * 1981. It was called SRCONV and was written in SAIL for PDP-10 + * compatible machines. The algorithm was first published in + * + * Smith, Julius O. and Phil Gossett. ``A Flexible Sampling-Rate + * Conversion Method,'' Proceedings (2): 19.4.1-19.4.4, IEEE Conference + * on Acoustics, Speech, and Signal Processing, San Diego, March 1984. + * + * An expanded tutorial based on this paper is available at the Digital + * Audio Resampling Home Page given above. + * + * Circa 1988, the SRCONV program was translated from SAIL to C by + * Christopher Lee Fraley working with Roger Dannenberg at CMU. + * + * Since then, the C version has been maintained by jos. + * + * Sndlib support was added 6/99 by John Gibson . + * + * The resample program is free software distributed in accordance + * with the Lesser GNU Public License (LGPL). There is NO warranty; not + * even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. + */ + +/* PJMEDIA modification: + * - remove resample(), just use SrcUp, SrcUD, and SrcLinear directly. + * - move FilterUp() and FilterUD() from filterkit.c + * - move stddefs.h and resample.h to this file. + * - const correctness. + */ +#include +#include +#include +#include +#include + + +#define THIS_FILE "resample.c" + + +/* + * Taken from stddefs.h + */ +#ifndef PI +#define PI (3.14159265358979232846) +#endif + +#ifndef PI2 +#define PI2 (6.28318530717958465692) +#endif + +#define D2R (0.01745329348) /* (2*pi)/360 */ +#define R2D (57.29577951) /* 360/(2*pi) */ + +#ifndef MAX +#define MAX(x,y) ((x)>(y) ?(x):(y)) +#endif +#ifndef MIN +#define MIN(x,y) ((x)<(y) ?(x):(y)) +#endif + +#ifndef ABS +#define ABS(x) ((x)<0 ?(-(x)):(x)) +#endif + +#ifndef SGN +#define SGN(x) ((x)<0 ?(-1):((x)==0?(0):(1))) +#endif + +typedef char RES_BOOL; +typedef short RES_HWORD; +typedef int RES_WORD; +typedef unsigned short RES_UHWORD; +typedef unsigned int RES_UWORD; + +#define MAX_HWORD (32767) +#define MIN_HWORD (-32768) + +#ifdef DEBUG +#define INLINE +#else +#define INLINE inline +#endif + +/* + * Taken from resample.h + * + * The configuration constants below govern + * the number of bits in the input sample and filter coefficients, the + * number of bits to the right of the binary-point for fixed-point math, etc. + * + */ + +/* Conversion constants */ +#define Nhc 8 +#define Na 7 +#define Np (Nhc+Na) +#define Npc (1<>= scl; + if (v>MAX_HWORD) { + v = MAX_HWORD; + } else if (v < MIN_HWORD) { + v = MIN_HWORD; + } + out = (RES_HWORD) v; + return out; +} + +/* Sampling rate conversion using linear interpolation for maximum speed. + */ +static int + SrcLinear(const RES_HWORD X[], RES_HWORD Y[], double pFactor, RES_UHWORD nx) +{ + RES_HWORD iconst; + RES_UWORD time = 0; + const RES_HWORD *xp; + RES_HWORD *Ystart, *Yend; + RES_WORD v,x1,x2; + + double dt; /* Step through input signal */ + RES_UWORD dtb; /* Fixed-point version of Dt */ + RES_UWORD endTime; /* When time reaches EndTime, return to user */ + + dt = 1.0/pFactor; /* Output sampling period */ + dtb = dt*(1<>Np]; /* Ptr to current input sample */ + x1 = *xp++; + x2 = *xp; + x1 *= ((1<>Na]; + End = &Imp[Nwing]; + if (Interp) { + Hdp = &ImpD[Ph>>Na]; + a = Ph & Amask; + } + if (Inc == 1) /* If doing right wing... */ + { /* ...drop extra coeff, so when Ph is */ + End--; /* 0.5, we don't do too many mult's */ + if (Ph == 0) /* If the phase is zero... */ + { /* ...then we've already skipped the */ + Hp += Npc; /* first sample, so we must also */ + Hdp += Npc; /* skip ahead in Imp[] and ImpD[] */ + } + } + if (Interp) + while (Hp < End) { + t = *Hp; /* Get filter coeff */ + t += (((RES_WORD)*Hdp)*a)>>Na; /* t is now interp'd filter coeff */ + Hdp += Npc; /* Filter coeff differences step */ + t *= *Xp; /* Mult coeff by input sample */ + if (t & (1<<(Nhxn-1))) /* Round, if needed */ + t += (1<<(Nhxn-1)); + t >>= Nhxn; /* Leave some guard bits, but come back some */ + v += t; /* The filter output */ + Hp += Npc; /* Filter coeff step */ + + Xp += Inc; /* Input signal step. NO CHECK ON BOUNDS */ + } + else + while (Hp < End) { + t = *Hp; /* Get filter coeff */ + t *= *Xp; /* Mult coeff by input sample */ + if (t & (1<<(Nhxn-1))) /* Round, if needed */ + t += (1<<(Nhxn-1)); + t >>= Nhxn; /* Leave some guard bits, but come back some */ + v += t; /* The filter output */ + Hp += Npc; /* Filter coeff step */ + Xp += Inc; /* Input signal step. NO CHECK ON BOUNDS */ + } + return(v); +} + + +static RES_WORD FilterUD(const RES_HWORD Imp[], const RES_HWORD ImpD[], + RES_UHWORD Nwing, RES_BOOL Interp, + const RES_HWORD *Xp, RES_HWORD Ph, RES_HWORD Inc, RES_UHWORD dhb) +{ + RES_HWORD a; + const RES_HWORD *Hp, *Hdp, *End; + RES_WORD v, t; + RES_UWORD Ho; + + v=0; + Ho = (Ph*(RES_UWORD)dhb)>>Np; + End = &Imp[Nwing]; + if (Inc == 1) /* If doing right wing... */ + { /* ...drop extra coeff, so when Ph is */ + End--; /* 0.5, we don't do too many mult's */ + if (Ph == 0) /* If the phase is zero... */ + Ho += dhb; /* ...then we've already skipped the */ + } /* first sample, so we must also */ + /* skip ahead in Imp[] and ImpD[] */ + if (Interp) + while ((Hp = &Imp[Ho>>Na]) < End) { + t = *Hp; /* Get IR sample */ + Hdp = &ImpD[Ho>>Na]; /* get interp (lower Na) bits from diff table*/ + a = Ho & Amask; /* a is logically between 0 and 1 */ + t += (((RES_WORD)*Hdp)*a)>>Na; /* t is now interp'd filter coeff */ + t *= *Xp; /* Mult coeff by input sample */ + if (t & 1<<(Nhxn-1)) /* Round, if needed */ + t += 1<<(Nhxn-1); + t >>= Nhxn; /* Leave some guard bits, but come back some */ + v += t; /* The filter output */ + Ho += dhb; /* IR step */ + Xp += Inc; /* Input signal step. NO CHECK ON BOUNDS */ + } + else + while ((Hp = &Imp[Ho>>Na]) < End) { + t = *Hp; /* Get IR sample */ + t *= *Xp; /* Mult coeff by input sample */ + if (t & 1<<(Nhxn-1)) /* Round, if needed */ + t += 1<<(Nhxn-1); + t >>= Nhxn; /* Leave some guard bits, but come back some */ + v += t; /* The filter output */ + Ho += dhb; /* IR step */ + Xp += Inc; /* Input signal step. NO CHECK ON BOUNDS */ + } + return(v); +} + +/* Sampling rate up-conversion only subroutine; + * Slightly faster than down-conversion; + */ +static int SrcUp(const RES_HWORD X[], RES_HWORD Y[], double pFactor, + RES_UHWORD nx, RES_UHWORD pNwing, RES_UHWORD pLpScl, + const RES_HWORD pImp[], const RES_HWORD pImpD[], RES_BOOL Interp) +{ + const RES_HWORD *xp; + RES_HWORD *Ystart, *Yend; + RES_WORD v; + + double dt; /* Step through input signal */ + RES_UWORD dtb; /* Fixed-point version of Dt */ + RES_UWORD time = 0; + RES_UWORD endTime; /* When time reaches EndTime, return to user */ + + dt = 1.0/pFactor; /* Output sampling period */ + dtb = dt*(1<>Np]; /* Ptr to current input sample */ + /* Perform left-wing inner product */ + v = 0; + v = FilterUp(pImp, pImpD, pNwing, Interp, xp, (RES_HWORD)(time&Pmask),-1); + + /* Perform right-wing inner product */ + v += FilterUp(pImp, pImpD, pNwing, Interp, xp+1, (RES_HWORD)((-time)&Pmask),1); + + v >>= Nhg; /* Make guard bits */ + v *= pLpScl; /* Normalize for unity filter gain */ + *Y++ = WordToHword(v,NLpScl); /* strip guard bits, deposit output */ + time += dtb; /* Move to next sample by time increment */ + } + return (Y - Ystart); /* Return the number of output samples */ +} + + +/* Sampling rate conversion subroutine */ + +static int SrcUD(const RES_HWORD X[], RES_HWORD Y[], double pFactor, + RES_UHWORD nx, RES_UHWORD pNwing, RES_UHWORD pLpScl, + const RES_HWORD pImp[], const RES_HWORD pImpD[], RES_BOOL Interp) +{ + const RES_HWORD *xp; + RES_HWORD *Ystart, *Yend; + RES_WORD v; + + double dh; /* Step through filter impulse response */ + double dt; /* Step through input signal */ + RES_UWORD time = 0; + RES_UWORD endTime; /* When time reaches EndTime, return to user */ + RES_UWORD dhb, dtb; /* Fixed-point versions of Dh,Dt */ + + dt = 1.0/pFactor; /* Output sampling period */ + dtb = dt*(1<>Np]; /* Ptr to current input sample */ + v = FilterUD(pImp, pImpD, pNwing, Interp, xp, (RES_HWORD)(time&Pmask), + -1, dhb); /* Perform left-wing inner product */ + v += FilterUD(pImp, pImpD, pNwing, Interp, xp+1, (RES_HWORD)((-time)&Pmask), + 1, dhb); /* Perform right-wing inner product */ + v >>= Nhg; /* Make guard bits */ + v *= pLpScl; /* Normalize for unity filter gain */ + *Y++ = WordToHword(v,NLpScl); /* strip guard bits, deposit output */ + time += dtb; /* Move to next sample by time increment */ + } + return (Y - Ystart); /* Return the number of output samples */ +} + + +/* *************************************************************************** + * + * PJMEDIA RESAMPLE + * + * *************************************************************************** + */ + +struct pjmedia_resample +{ + double factor; /* Conversion factor = rate_out / rate_in. */ + pj_bool_t large_filter; /* Large filter? */ + pj_bool_t high_quality; /* Not fast? */ + unsigned xoff; /* History and lookahead size, in samples */ + unsigned frame_size; /* Samples per frame. */ + pj_int16_t *buffer; /* Input buffer. */ +}; + + +PJ_DEF(pj_status_t) pjmedia_resample_create( pj_pool_t *pool, + pj_bool_t high_quality, + pj_bool_t large_filter, + unsigned rate_in, + unsigned rate_out, + unsigned samples_per_frame, + pjmedia_resample **p_resample) +{ + pjmedia_resample *resample; + + PJ_ASSERT_RETURN(pool && p_resample && rate_in && + rate_out && samples_per_frame, PJ_EINVAL); + + resample = pj_pool_alloc(pool, sizeof(pjmedia_resample)); + PJ_ASSERT_RETURN(resample, PJ_ENOMEM); + + /* + * If we're downsampling, always use the fast algorithm since it seems + * to yield the same quality. + */ + if (rate_out < rate_in) { + //no this is not a good idea. It sounds pretty good with speech, + //but very poor with background noise etc. + //high_quality = 0; + } + +#if !defined(PJMEDIA_HAS_LARGE_FILTER) || PJMEDIA_HAS_LARGE_FILTER==0 + /* + * If large filter is excluded in the build, then prevent application + * from using it. + */ + if (high_quality && large_filter) { + large_filter = PJ_FALSE; + PJ_LOG(5,(THIS_FILE, + "Resample uses small filter because large filter is " + "disabled")); + } +#endif + +#if !defined(PJMEDIA_HAS_SMALL_FILTER) || PJMEDIA_HAS_SMALL_FILTER==0 + /* + * If small filter is excluded in the build and application wants to + * use it, then drop to linear conversion. + */ + if (high_quality && large_filter == 0) { + high_quality = PJ_FALSE; + PJ_LOG(4,(THIS_FILE, + "Resample uses linear because small filter is disabled")); + } +#endif + + resample->factor = rate_out * 1.0 / rate_in; + resample->large_filter = large_filter; + resample->high_quality = high_quality; + resample->frame_size = samples_per_frame; + + if (high_quality) { + unsigned size; + + /* This is a bug in xoff calculation, thanks Stephane Lussier + * of Macadamian dot com. + * resample->xoff = large_filter ? 32 : 6; + */ + if (large_filter) + resample->xoff = (LARGE_FILTER_NMULT + 1) / 2.0 * + MAX(1.0, 1.0/resample->factor); + else + resample->xoff = (SMALL_FILTER_NMULT + 1) / 2.0 * + MAX(1.0, 1.0/resample->factor); + + + size = (samples_per_frame + 2*resample->xoff) * sizeof(pj_int16_t); + resample->buffer = pj_pool_alloc(pool, size); + PJ_ASSERT_RETURN(resample->buffer, PJ_ENOMEM); + + pjmedia_zero_samples(resample->buffer, resample->xoff*2); + + + } else { + resample->xoff = 0; + } + + *p_resample = resample; + + PJ_LOG(5,(THIS_FILE, "resample created: %s qualiy, %s filter, in/out " + "rate=%d/%d", + (high_quality?"high":"low"), + (large_filter?"large":"small"), + rate_in, rate_out)); + return PJ_SUCCESS; +} + + + +PJ_DEF(void) pjmedia_resample_run( pjmedia_resample *resample, + const pj_int16_t *input, + pj_int16_t *output ) +{ + PJ_ASSERT_ON_FAIL(resample, return); + + if (resample->high_quality) { + pj_int16_t *dst_buf; + const pj_int16_t *src_buf; + + /* Okay chaps, here's how we do resampling. + * + * The original resample algorithm requires xoff samples *before* the + * input buffer as history, and another xoff samples *after* the + * end of the input buffer as lookahead. Since application can only + * supply framesize buffer on each run, PJMEDIA needs to arrange the + * buffer to meet these requirements. + * + * So here comes the trick. + * + * First of all, because of the history and lookahead requirement, + * resample->buffer need to accomodate framesize+2*xoff samples in its + * buffer. This is done when the buffer is created. + * + * On the first run, the input frame (supplied by application) is + * copied to resample->buffer at 2*xoff position. The first 2*xoff + * samples are initially zeroed (in the initialization). The resample + * algorithm then invoked at resample->buffer+xoff ONLY, thus giving + * it one xoff at the beginning as zero, and one xoff at the end + * as the end of the original input. The resample algorithm will see + * that the first xoff samples in the input as zero. + * + * So here's the layout of resample->buffer on the first run. + * + * run 0 + * +------+------+--------------+ + * | 0000 | 0000 | frame0... | + * +------+------+--------------+ + * ^ ^ ^ ^ + * 0 xoff 2*xoff size+2*xoff + * + * (Note again: resample algorithm is called at resample->buffer+xoff) + * + * At the end of the run, 2*xoff samples from the end of + * resample->buffer are copied to the beginning of resample->buffer. + * The first xoff part of this will be used as history for the next + * run, and the second xoff part of this is actually the start of + * resampling for the next run. + * + * And the first run completes, the function returns. + * + * + * On the next run, the input frame supplied by application is again + * copied at 2*xoff position in the resample->buffer, and the + * resample algorithm is again invoked at resample->buffer+xoff + * position. So effectively, the resample algorithm will start its + * operation on the last xoff from the previous frame, and gets the + * history from the last 2*xoff of the previous frame, and the look- + * ahead from the last xoff of current frame. + * + * So on this run, the buffer layout is: + * + * run 1 + * +------+------+--------------+ + * | frm0 | frm0 | frame1... | + * +------+------+--------------+ + * ^ ^ ^ ^ + * 0 xoff 2*xoff size+2*xoff + * + * As you can see from above diagram, the resampling algorithm is + * actually called from the last xoff part of previous frame (frm0). + * + * And so on the process continues for the next frame, and the next, + * and the next, ... + * + */ + dst_buf = resample->buffer + resample->xoff*2; + pjmedia_copy_samples(dst_buf, input, resample->frame_size); + + if (resample->factor >= 1) { + + if (resample->large_filter) { + SrcUp(resample->buffer + resample->xoff, output, + resample->factor, resample->frame_size, + LARGE_FILTER_NWING, LARGE_FILTER_SCALE, + LARGE_FILTER_IMP, LARGE_FILTER_IMPD, + PJ_TRUE); + } else { + SrcUp(resample->buffer + resample->xoff, output, + resample->factor, resample->frame_size, + SMALL_FILTER_NWING, SMALL_FILTER_SCALE, + SMALL_FILTER_IMP, SMALL_FILTER_IMPD, + PJ_TRUE); + } + + } else { + + if (resample->large_filter) { + + SrcUD( resample->buffer + resample->xoff, output, + resample->factor, resample->frame_size, + LARGE_FILTER_NWING, + LARGE_FILTER_SCALE * resample->factor + 0.5, + LARGE_FILTER_IMP, LARGE_FILTER_IMPD, + PJ_TRUE); + + } else { + + SrcUD( resample->buffer + resample->xoff, output, + resample->factor, resample->frame_size, + SMALL_FILTER_NWING, + SMALL_FILTER_SCALE * resample->factor + 0.5, + SMALL_FILTER_IMP, SMALL_FILTER_IMPD, + PJ_TRUE); + + } + + } + + dst_buf = resample->buffer; + src_buf = input + resample->frame_size - resample->xoff*2; + pjmedia_copy_samples(dst_buf, src_buf, resample->xoff * 2); + + } else { + SrcLinear( input, output, resample->factor, resample->frame_size); + } +} + +PJ_DEF(unsigned) pjmedia_resample_get_input_size(pjmedia_resample *resample) +{ + PJ_ASSERT_RETURN(resample != NULL, 0); + return resample->frame_size; +} + diff --git a/pjmedia/src/pjmedia/smallfilter.h b/pjmedia/src/pjmedia/smallfilter.h new file mode 100644 index 00000000..396fcb14 --- /dev/null +++ b/pjmedia/src/pjmedia/smallfilter.h @@ -0,0 +1,4617 @@ +/* Included by resamplesubs.c */ +#define SMALL_FILTER_NMULT ((RES_HWORD)13) +#define SMALL_FILTER_SCALE 13128 /* Unity-gain scale factor */ +#define SMALL_FILTER_NWING 1536 /* Filter table length */ +static const RES_HWORD SMALL_FILTER_IMP[] /* Impulse response */ = { +32767, +32766, +32764, +32760, +32755, +32749, +32741, +32731, +32721, +32708, +32695, +32679, +32663, +32645, +32625, +32604, +32582, +32558, +32533, +32506, +32478, +32448, +32417, +32385, +32351, +32316, +32279, +32241, +32202, +32161, +32119, +32075, +32030, +31984, +31936, +31887, +31836, +31784, +31731, +31676, +31620, +31563, +31504, +31444, +31383, +31320, +31256, +31191, +31124, +31056, +30987, +30916, +30845, +30771, +30697, +30621, +30544, +30466, +30387, +30306, +30224, +30141, +30057, +29971, +29884, +29796, +29707, +29617, +29525, +29433, +29339, +29244, +29148, +29050, +28952, +28852, +28752, +28650, +28547, +28443, +28338, +28232, +28125, +28017, +27908, +27797, +27686, +27574, +27461, +27346, +27231, +27115, +26998, +26879, +26760, +26640, +26519, +26398, +26275, +26151, +26027, +25901, +25775, +25648, +25520, +25391, +25262, +25131, +25000, +24868, +24735, +24602, +24467, +24332, +24197, +24060, +23923, +23785, +23647, +23507, +23368, +23227, +23086, +22944, +22802, +22659, +22515, +22371, +22226, +22081, +21935, +21789, +21642, +21494, +21346, +21198, +21049, +20900, +20750, +20600, +20449, +20298, +20146, +19995, +19842, +19690, +19537, +19383, +19230, +19076, +18922, +18767, +18612, +18457, +18302, +18146, +17990, +17834, +17678, +17521, +17365, +17208, +17051, +16894, +16737, +16579, +16422, +16264, +16106, +15949, +15791, +15633, +15475, +15317, +15159, +15001, +14843, +14685, +14527, +14369, +14212, +14054, +13896, +13739, +13581, +13424, +13266, +13109, +12952, +12795, +12639, +12482, +12326, +12170, +12014, +11858, +11703, +11548, +11393, +11238, +11084, +10929, +10776, +10622, +10469, +10316, +10164, +10011, +9860, +9708, +9557, +9407, +9256, +9106, +8957, +8808, +8659, +8511, +8364, +8216, +8070, +7924, +7778, +7633, +7488, +7344, +7200, +7057, +6914, +6773, +6631, +6490, +6350, +6210, +6071, +5933, +5795, +5658, +5521, +5385, +5250, +5115, +4981, +4848, +4716, +4584, +4452, +4322, +4192, +4063, +3935, +3807, +3680, +3554, +3429, +3304, +3180, +3057, +2935, +2813, +2692, +2572, +2453, +2335, +2217, +2101, +1985, +1870, +1755, +1642, +1529, +1418, +1307, +1197, +1088, +979, +872, +765, +660, +555, +451, +348, +246, +145, +44, +-54, +-153, +-250, +-347, +-443, +-537, +-631, +-724, +-816, +-908, +-998, +-1087, +-1175, +-1263, +-1349, +-1435, +-1519, +-1603, +-1685, 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