1 files changed, 627 insertions, 0 deletions
diff --git a/src/mathutils.c b/src/mathutils.c
new file mode 100644
index 0000000..01b3519
--- /dev/null
+++ b/src/mathutils.c
@@ -0,0 +1,627 @@
+/*
+  Copyright (C) 2003-2014 Paul Brossier <piem@aubio.org>
+
+  This file is part of aubio.
+
+  aubio is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 3 of the License, or
+  (at your option) any later version.
+
+  aubio is distributed in 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 aubio.  If not, see <http://www.gnu.org/licenses/>.
+
+*/
+
+/* see in mathutils.h for doc */
+
+#include "aubio_priv.h"
+#include "fvec.h"
+#include "mathutils.h"
+#include "musicutils.h"
+#include "config.h"
+
+/** Window types */
+typedef enum
+{
+  aubio_win_rectangle,
+  aubio_win_hamming,
+  aubio_win_hanning,
+  aubio_win_hanningz,
+  aubio_win_blackman,
+  aubio_win_blackman_harris,
+  aubio_win_gaussian,
+  aubio_win_welch,
+  aubio_win_parzen,
+  aubio_win_default = aubio_win_hanningz,
+} aubio_window_type;
+
+fvec_t *
+new_aubio_window (char_t * window_type, uint_t length)
+{
+  fvec_t * win = new_fvec (length);
+  uint_t err;
+  if (win == NULL) {
+    return NULL;
+  }
+  err = fvec_set_window (win, window_type);
+  if (err != 0) {
+    del_fvec(win);
+    return NULL;
+  }
+  return win;
+}
+
+uint_t fvec_set_window (fvec_t *win, char_t *window_type) {
+  smpl_t * w = win->data;
+  uint_t i, size = win->length;
+  aubio_window_type wintype;
+  if (window_type == NULL) {
+      AUBIO_ERR ("window type can not be null.\n");
+      return 1;
+  } else if (strcmp (window_type, "rectangle") == 0)
+      wintype = aubio_win_rectangle;
+  else if (strcmp (window_type, "hamming") == 0)
+      wintype = aubio_win_hamming;
+  else if (strcmp (window_type, "hanning") == 0)
+      wintype = aubio_win_hanning;
+  else if (strcmp (window_type, "hanningz") == 0)
+      wintype = aubio_win_hanningz;
+  else if (strcmp (window_type, "blackman") == 0)
+      wintype = aubio_win_blackman;
+  else if (strcmp (window_type, "blackman_harris") == 0)
+      wintype = aubio_win_blackman_harris;
+  else if (strcmp (window_type, "gaussian") == 0)
+      wintype = aubio_win_gaussian;
+  else if (strcmp (window_type, "welch") == 0)
+      wintype = aubio_win_welch;
+  else if (strcmp (window_type, "parzen") == 0)
+      wintype = aubio_win_parzen;
+  else if (strcmp (window_type, "default") == 0)
+      wintype = aubio_win_default;
+  else {
+      AUBIO_ERR ("unknown window type `%s`.\n", window_type);
+      return 1;
+  }
+  switch(wintype) {
+    case aubio_win_rectangle:
+      for (i=0;i<size;i++)
+        w[i] = 0.5;
+      break;
+    case aubio_win_hamming:
+      for (i=0;i<size;i++)
+        w[i] = 0.54 - 0.46 * COS(TWO_PI * i / (size));
+      break;
+    case aubio_win_hanning:
+      for (i=0;i<size;i++)
+        w[i] = 0.5 - (0.5 * COS(TWO_PI * i / (size)));
+      break;
+    case aubio_win_hanningz:
+      for (i=0;i<size;i++)
+        w[i] = 0.5 * (1.0 - COS(TWO_PI * i / (size)));
+      break;
+    case aubio_win_blackman:
+      for (i=0;i<size;i++)
+        w[i] = 0.42
+          - 0.50 * COS(    TWO_PI*i/(size-1.0))
+          + 0.08 * COS(2.0*TWO_PI*i/(size-1.0));
+      break;
+    case aubio_win_blackman_harris:
+      for (i=0;i<size;i++)
+        w[i] = 0.35875
+          - 0.48829 * COS(    TWO_PI*i/(size-1.0))
+          + 0.14128 * COS(2.0*TWO_PI*i/(size-1.0))
+          - 0.01168 * COS(3.0*TWO_PI*i/(size-1.0));
+      break;
+    case aubio_win_gaussian:
+      {
+        lsmp_t a, b, c = 0.5;
+        uint_t n;
+        for (n = 0; n < size; n++)
+        {
+          a = (n-c*(size-1))/(SQR(c)*(size-1));
+          b = -c*SQR(a);
+          w[n] = EXP(b);
+        }
+      }
+      break;
+    case aubio_win_welch:
+      for (i=0;i<size;i++)
+        w[i] = 1.0 - SQR((2.*i-size)/(size+1.0));
+      break;
+    case aubio_win_parzen:
+      for (i=0;i<size;i++)
+        w[i] = 1.0 - ABS((2.f*i-size)/(size+1.0f));
+      break;
+    default:
+      break;
+  }
+  return 0;
+}
+
+smpl_t
+aubio_unwrap2pi (smpl_t phase)
+{
+  /* mod(phase+pi,-2pi)+pi */
+  return phase + TWO_PI * (1. + FLOOR (-(phase + PI) / TWO_PI));
+}
+
+smpl_t
+fvec_mean (fvec_t * s)
+{
+  smpl_t tmp = 0.0;
+#ifndef HAVE_ACCELERATE
+  uint_t j;
+  for (j = 0; j < s->length; j++) {
+    tmp += s->data[j];
+  }
+  return tmp / (smpl_t) (s->length);
+#else
+  aubio_vDSP_meanv(s->data, 1, &tmp, s->length);
+  return tmp;
+#endif /* HAVE_ACCELERATE */
+}
+
+smpl_t
+fvec_sum (fvec_t * s)
+{
+  smpl_t tmp = 0.0;
+#ifndef HAVE_ACCELERATE
+  uint_t j;
+  for (j = 0; j < s->length; j++) {
+    tmp += s->data[j];
+  }
+#else
+  aubio_vDSP_sve(s->data, 1, &tmp, s->length);
+#endif /* HAVE_ACCELERATE */
+  return tmp;
+}
+
+smpl_t
+fvec_max (fvec_t * s)
+{
+#ifndef HAVE_ACCELERATE
+  uint_t j;
+  smpl_t tmp = 0.0;
+  for (j = 0; j < s->length; j++) {
+    tmp = (tmp > s->data[j]) ? tmp : s->data[j];
+  }
+#else
+  smpl_t tmp = 0.;
+  aubio_vDSP_maxv(s->data, 1, &tmp, s->length);
+#endif
+  return tmp;
+}
+
+smpl_t
+fvec_min (fvec_t * s)
+{
+#ifndef HAVE_ACCELERATE
+  uint_t j;
+  smpl_t tmp = s->data[0];
+  for (j = 0; j < s->length; j++) {
+    tmp = (tmp < s->data[j]) ? tmp : s->data[j];
+  }
+#else
+  smpl_t tmp = 0.;
+  aubio_vDSP_minv(s->data, 1, &tmp, s->length);
+#endif
+  return tmp;
+}
+
+uint_t
+fvec_min_elem (fvec_t * s)
+{
+#ifndef HAVE_ACCELERATE
+  uint_t j, pos = 0.;
+  smpl_t tmp = s->data[0];
+  for (j = 0; j < s->length; j++) {
+    pos = (tmp < s->data[j]) ? pos : j;
+    tmp = (tmp < s->data[j]) ? tmp : s->data[j];
+  }
+#else
+  smpl_t tmp = 0.;
+  uint_t pos = 0.;
+  aubio_vDSP_minvi(s->data, 1, &tmp, (vDSP_Length *)&pos, s->length);
+#endif
+  return pos;
+}
+
+uint_t
+fvec_max_elem (fvec_t * s)
+{
+#ifndef HAVE_ACCELERATE
+  uint_t j, pos = 0;
+  smpl_t tmp = 0.0;
+  for (j = 0; j < s->length; j++) {
+    pos = (tmp > s->data[j]) ? pos : j;
+    tmp = (tmp > s->data[j]) ? tmp : s->data[j];
+  }
+#else
+  smpl_t tmp = 0.;
+  uint_t pos = 0.;
+  aubio_vDSP_maxvi(s->data, 1, &tmp, (vDSP_Length *)&pos, s->length);
+#endif
+  return pos;
+}
+
+void
+fvec_shift (fvec_t * s)
+{
+  uint_t half = s->length / 2, start = half, j;
+  // if length is odd, middle element is moved to the end
+  if (2 * half < s->length) start ++;
+#ifndef HAVE_ATLAS
+  for (j = 0; j < half; j++) {
+    ELEM_SWAP (s->data[j], s->data[j + start]);
+  }
+#else
+  aubio_cblas_swap(half, s->data, 1, s->data + start, 1);
+#endif
+  if (start != half) {
+    for (j = 0; j < half; j++) {
+      ELEM_SWAP (s->data[j + start - 1], s->data[j + start]);
+    }
+  }
+}
+
+void
+fvec_ishift (fvec_t * s)
+{
+  uint_t half = s->length / 2, start = half, j;
+  // if length is odd, middle element is moved to the beginning
+  if (2 * half < s->length) start ++;
+#ifndef HAVE_ATLAS
+  for (j = 0; j < half; j++) {
+    ELEM_SWAP (s->data[j], s->data[j + start]);
+  }
+#else
+  aubio_cblas_swap(half, s->data, 1, s->data + start, 1);
+#endif
+  if (start != half) {
+    for (j = 0; j < half; j++) {
+      ELEM_SWAP (s->data[half], s->data[j]);
+    }
+  }
+}
+
+smpl_t
+aubio_level_lin (const fvec_t * f)
+{
+  smpl_t energy = 0.;
+#ifndef HAVE_ATLAS
+  uint_t j;
+  for (j = 0; j < f->length; j++) {
+    energy += SQR (f->data[j]);
+  }
+#else
+  energy = aubio_cblas_dot(f->length, f->data, 1, f->data, 1);
+#endif
+  return energy / f->length;
+}
+
+smpl_t
+fvec_local_hfc (fvec_t * v)
+{
+  smpl_t hfc = 0.;
+  uint_t j;
+  for (j = 0; j < v->length; j++) {
+    hfc += (j + 1) * v->data[j];
+  }
+  return hfc;
+}
+
+void
+fvec_min_removal (fvec_t * v)
+{
+  smpl_t v_min = fvec_min (v);
+  fvec_add (v,  - v_min );
+}
+
+smpl_t
+fvec_alpha_norm (fvec_t * o, smpl_t alpha)
+{
+  uint_t j;
+  smpl_t tmp = 0.;
+  for (j = 0; j < o->length; j++) {
+    tmp += POW (ABS (o->data[j]), alpha);
+  }
+  return POW (tmp / o->length, 1. / alpha);
+}
+
+void
+fvec_alpha_normalise (fvec_t * o, smpl_t alpha)
+{
+  uint_t j;
+  smpl_t norm = fvec_alpha_norm (o, alpha);
+  for (j = 0; j < o->length; j++) {
+    o->data[j] /= norm;
+  }
+}
+
+void
+fvec_add (fvec_t * o, smpl_t val)
+{
+  uint_t j;
+  for (j = 0; j < o->length; j++) {
+    o->data[j] += val;
+  }
+}
+
+void fvec_adapt_thres(fvec_t * vec, fvec_t * tmp,
+    uint_t post, uint_t pre) {
+  uint_t length = vec->length, j;
+  for (j=0;j<length;j++) {
+    vec->data[j] -= fvec_moving_thres(vec, tmp, post, pre, j);
+  }
+}
+
+smpl_t
+fvec_moving_thres (fvec_t * vec, fvec_t * tmpvec,
+    uint_t post, uint_t pre, uint_t pos)
+{
+  uint_t k;
+  smpl_t *medar = (smpl_t *) tmpvec->data;
+  uint_t win_length = post + pre + 1;
+  uint_t length = vec->length;
+  /* post part of the buffer does not exist */
+  if (pos < post + 1) {
+    for (k = 0; k < post + 1 - pos; k++)
+      medar[k] = 0.;            /* 0-padding at the beginning */
+    for (k = post + 1 - pos; k < win_length; k++)
+      medar[k] = vec->data[k + pos - post];
+    /* the buffer is fully defined */
+  } else if (pos + pre < length) {
+    for (k = 0; k < win_length; k++)
+      medar[k] = vec->data[k + pos - post];
+    /* pre part of the buffer does not exist */
+  } else {
+    for (k = 0; k < length - pos + post; k++)
+      medar[k] = vec->data[k + pos - post];
+    for (k = length - pos + post; k < win_length; k++)
+      medar[k] = 0.;            /* 0-padding at the end */
+  }
+  return fvec_median (tmpvec);
+}
+
+smpl_t fvec_median (fvec_t * input) {
+  uint_t n = input->length;
+  smpl_t * arr = (smpl_t *) input->data;
+  uint_t low, high ;
+  uint_t median;
+  uint_t middle, ll, hh;
+
+  low = 0 ; high = n-1 ; median = (low + high) / 2;
+  for (;;) {
+    if (high <= low) /* One element only */
+      return arr[median] ;
+
+    if (high == low + 1) {  /* Two elements only */
+      if (arr[low] > arr[high])
+        ELEM_SWAP(arr[low], arr[high]) ;
+      return arr[median] ;
+    }
+
+    /* Find median of low, middle and high items; swap into position low */
+    middle = (low + high) / 2;
+    if (arr[middle] > arr[high])    ELEM_SWAP(arr[middle], arr[high]);
+    if (arr[low]    > arr[high])    ELEM_SWAP(arr[low],    arr[high]);
+    if (arr[middle] > arr[low])     ELEM_SWAP(arr[middle], arr[low]) ;
+
+    /* Swap low item (now in position middle) into position (low+1) */
+    ELEM_SWAP(arr[middle], arr[low+1]) ;
+
+    /* Nibble from each end towards middle, swapping items when stuck */
+    ll = low + 1;
+    hh = high;
+    for (;;) {
+      do ll++; while (arr[low] > arr[ll]) ;
+      do hh--; while (arr[hh]  > arr[low]) ;
+
+      if (hh < ll)
+        break;
+
+      ELEM_SWAP(arr[ll], arr[hh]) ;
+    }
+
+    /* Swap middle item (in position low) back into correct position */
+    ELEM_SWAP(arr[low], arr[hh]) ;
+
+    /* Re-set active partition */
+    if (hh <= median)
+      low = ll;
+    if (hh >= median)
+      high = hh - 1;
+  }
+}
+
+smpl_t fvec_quadratic_peak_pos (const fvec_t * x, uint_t pos) {
+  smpl_t s0, s1, s2; uint_t x0, x2;
+  smpl_t half = .5, two = 2.;
+  if (pos == 0 || pos == x->length - 1) return pos;
+  x0 = (pos < 1) ? pos : pos - 1;
+  x2 = (pos + 1 < x->length) ? pos + 1 : pos;
+  if (x0 == pos) return (x->data[pos] <= x->data[x2]) ? pos : x2;
+  if (x2 == pos) return (x->data[pos] <= x->data[x0]) ? pos : x0;
+  s0 = x->data[x0];
+  s1 = x->data[pos];
+  s2 = x->data[x2];
+  return pos + half * (s0 - s2 ) / (s0 - two * s1 + s2);
+}
+
+smpl_t fvec_quadratic_peak_mag (fvec_t *x, smpl_t pos) {
+  smpl_t x0, x1, x2;
+  uint_t index = (uint_t)(pos - .5) + 1;
+  if (pos >= x->length || pos < 0.) return 0.;
+  if ((smpl_t)index == pos) return x->data[index];
+  x0 = x->data[index - 1];
+  x1 = x->data[index];
+  x2 = x->data[index + 1];
+  return x1 - .25 * (x0 - x2) * (pos - index);
+}
+
+uint_t fvec_peakpick(const fvec_t * onset, uint_t pos) {
+  uint_t tmp=0;
+  tmp = (onset->data[pos] > onset->data[pos-1]
+      &&  onset->data[pos] > onset->data[pos+1]
+      &&  onset->data[pos] > 0.);
+  return tmp;
+}
+
+smpl_t
+aubio_quadfrac (smpl_t s0, smpl_t s1, smpl_t s2, smpl_t pf)
+{
+  smpl_t tmp =
+      s0 + (pf / 2.) * (pf * (s0 - 2. * s1 + s2) - 3. * s0 + 4. * s1 - s2);
+  return tmp;
+}
+
+smpl_t
+aubio_freqtomidi (smpl_t freq)
+{
+  smpl_t midi;
+  if (freq < 2. || freq > 100000.) return 0.; // avoid nans and infs
+  /* log(freq/A-2)/log(2) */
+  midi = freq / 6.875;
+  midi = LOG (midi) / 0.69314718055995;
+  midi *= 12;
+  midi -= 3;
+  return midi;
+}
+
+smpl_t
+aubio_miditofreq (smpl_t midi)
+{
+  smpl_t freq;
+  if (midi > 140.) return 0.; // avoid infs
+  freq = (midi + 3.) / 12.;
+  freq = EXP (freq * 0.69314718055995);
+  freq *= 6.875;
+  return freq;
+}
+
+smpl_t
+aubio_bintofreq (smpl_t bin, smpl_t samplerate, smpl_t fftsize)
+{
+  smpl_t freq = samplerate / fftsize;
+  return freq * MAX(bin, 0);
+}
+
+smpl_t
+aubio_bintomidi (smpl_t bin, smpl_t samplerate, smpl_t fftsize)
+{
+  smpl_t midi = aubio_bintofreq (bin, samplerate, fftsize);
+  return aubio_freqtomidi (midi);
+}
+
+smpl_t
+aubio_freqtobin (smpl_t freq, smpl_t samplerate, smpl_t fftsize)
+{
+  smpl_t bin = fftsize / samplerate;
+  return MAX(freq, 0) * bin;
+}
+
+smpl_t
+aubio_miditobin (smpl_t midi, smpl_t samplerate, smpl_t fftsize)
+{
+  smpl_t freq = aubio_miditofreq (midi);
+  return aubio_freqtobin (freq, samplerate, fftsize);
+}
+
+uint_t
+aubio_is_power_of_two (uint_t a)
+{
+  if ((a & (a - 1)) == 0) {
+    return 1;
+  } else {
+    return 0;
+  }
+}
+
+uint_t
+aubio_next_power_of_two (uint_t a)
+{
+  uint_t i = 1;
+  while (i < a) i <<= 1;
+  return i;
+}
+
+smpl_t
+aubio_db_spl (const fvec_t * o)
+{
+  return 10. * LOG10 (aubio_level_lin (o));
+}
+
+uint_t
+aubio_silence_detection (const fvec_t * o, smpl_t threshold)
+{
+  return (aubio_db_spl (o) < threshold);
+}
+
+smpl_t
+aubio_level_detection (const fvec_t * o, smpl_t threshold)
+{
+  smpl_t db_spl = aubio_db_spl (o);
+  if (db_spl < threshold) {
+    return 1.;
+  } else {
+    return db_spl;
+  }
+}
+
+smpl_t
+aubio_zero_crossing_rate (fvec_t * input)
+{
+  uint_t j;
+  uint_t zcr = 0;
+  for (j = 1; j < input->length; j++) {
+    // previous was strictly negative
+    if (input->data[j - 1] < 0.) {
+      // current is positive or null
+      if (input->data[j] >= 0.) {
+        zcr += 1;
+      }
+      // previous was positive or null
+    } else {
+      // current is strictly negative
+      if (input->data[j] < 0.) {
+        zcr += 1;
+      }
+    }
+  }
+  return zcr / (smpl_t) input->length;
+}
+
+void
+aubio_autocorr (const fvec_t * input, fvec_t * output)
+{
+  uint_t i, j, length = input->length;
+  smpl_t *data, *acf;
+  smpl_t tmp = 0;
+  data = input->data;
+  acf = output->data;
+  for (i = 0; i < length; i++) {
+    tmp = 0.;
+    for (j = i; j < length; j++) {
+      tmp += data[j - i] * data[j];
+    }
+    acf[i] = tmp / (smpl_t) (length - i);
+  }
+}
+
+void
+aubio_cleanup (void)
+{
+#ifdef HAVE_FFTW3F
+  fftwf_cleanup ();
+#else
+#ifdef HAVE_FFTW3
+  fftw_cleanup ();
+#endif
+#endif
+}