/*
Copyright (c) 2015, John Hurst
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   derived from this software without specific prior written permission.

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/*! \file    ST2095_PinkNoise.cpp
    \version $Id$
    \brief   Pink Noise filter and LCG generator
*/

#include "ST2095_PinkNoise.h"

//
// This file is full of magic numbers.  Details behind the
// selection of these values can be found in SMPTE ST 2095-1:2015.
//

static ui32_t const C_rand_step = 52737;
static float const C_max_ampl_32 = pow(2.0, 31) - 1.0;
static float const C_max_peak = -9.5;     // Clipping Threshold in dB FS (+/-1.0 = 0 dB)
static float const C_max_amp = pow(10.0, C_max_peak / 20.0);


//
ASDCP::LinearCongruentialGenerator::LinearCongruentialGenerator(const ui32_t sample_rate) : m_Seed(0)
{
  ui32_t samples_per_period = 524288;

  if ( sample_rate > 48000 )
    {
      samples_per_period = 1048576;
    }

  m_RandMax = samples_per_period - 1;
  m_ScaleFactor = 2.0 / float(m_RandMax);
}

//
float
ASDCP::LinearCongruentialGenerator::GetNextSample()
{
  m_Seed = (1664525 * m_Seed + C_rand_step) & m_RandMax;
  float out = float(m_Seed) * m_ScaleFactor - 1.0;
  return out;
}

//
ASDCP::PinkFilter::PinkFilter(const i32_t sample_rate, float high_pass_fc, float low_pass_fc)
{
  //  Disaster check: filters in order, low_pass_fc <= Nyquist
  assert(high_pass_fc < low_pass_fc);
  assert(low_pass_fc < sample_rate / 2.0);

  // Calculate omegaT for matched Z transform highpass filters
  const float w0t = 2.0 * M_PI * high_pass_fc / sample_rate;

  // Calculate k for bilinear transform lowpass filters
  const float k = tan(( 2.0 * M_PI * low_pass_fc / sample_rate ) / 2.0);

  // precalculate k^2 (makes for a little bit cleaner code)
  const float k2 = k * k;

  // Calculate biquad coefficients for bandpass filter components
  hp1_a1 = -2.0 * exp(-0.3826835 * w0t) * cos(0.9238795 * w0t);
  hp1_a2 = exp(2.0 * -0.3826835 * w0t);
  hp1_b0 = (1.0 - hp1_a1 + hp1_a2) / 4.0;
  hp1_b1 = -2.0 * hp1_b0;
  hp1_b2 = hp1_b0;

  hp2_a1 = -2.0 * exp(-0.9238795 * w0t) * cos(0.3826835 * w0t);
  hp2_a2 = exp(2.0 * -0.9238795 * w0t);
  hp2_b0 = (1.0 - hp2_a1 + hp2_a2) / 4.0;
  hp2_b1 = -2.0 * hp2_b0;
  hp2_b2 = hp2_b0;

  lp1_a1 = (2.0 * (k2 - 1.0)) / (k2 + (k / 1.306563) + 1.0);
  lp1_a2 = (k2 - (k / 1.306563) + 1.0) / (k2 + (k / 1.306563) + 1.0);
  lp1_b0 = k2 / (k2 + (k / 1.306563) + 1.0);
  lp1_b1 = 2.0 * lp1_b0;
  lp1_b2 = lp1_b0;

  lp2_a1 = (2.0 * (k2 - 1.0)) / (k2 + (k / 0.541196) + 1.0);
  lp2_a2 = (k2 - (k / 0.541196) + 1.0) / (k2 + (k / 0.541196) + 1.0);
  lp2_b0 = k2 / (k2 + (k / 0.541196) + 1.0);
  lp2_b1 = 2.0 * lp2_b0;
  lp2_b2 = lp2_b0;

  // Declare delay line variables for bandpass filter and initialize to zero
  hp1w1 = hp1w2 = hp2w1 = hp2w2 = 0.0;
  lp1w1 = lp1w2 = lp2w1 = lp2w2 = 0.0;

  // Declare delay lines for pink filter network and initialize to zero
  lp1 = lp2 = lp3 = lp4 = lp5 = lp6 = 0.0;
}


//
float
ASDCP::PinkFilter::GetNextSample(const float white)
{
  // Run pink filter; a parallel network of 1st order LP filters
  // Scaled for conventional RNG (need to rescale by sqrt(1/3) for MLS)
  lp1 = 0.9994551 * lp1 + 0.00198166688621989 * white;
  lp2 = 0.9969859 * lp2 + 0.00263702334184061 * white;
  lp3 = 0.9844470 * lp3 + 0.00643213710202331 * white;
  lp4 = 0.9161757 * lp4 + 0.01438952538362820 * white;
  lp5 = 0.6563399 * lp5 + 0.02698408541064610 * white;
  float pink = lp1 + lp2 + lp3 + lp4 + lp5 + lp6 + white * 0.0342675832159306;
  lp6 = white * 0.0088766118009356;

  // Run bandpass filter; a series network of 4 biquad filters
  // Biquad filters implemented in Direct Form II
  float w = pink - hp1_a1 * hp1w1 - hp1_a2 * hp1w2;
  pink = hp1_b0 * w + hp1_b1 * hp1w1 + hp1_b2 * hp1w2;
  hp1w2 = hp1w1;
  hp1w1 = w;

  w = pink - hp2_a1 * hp2w1 - hp2_a2 * hp2w2;
  pink = hp2_b0 * w + hp2_b1 * hp2w1 + hp2_b2 * hp2w2;
  hp2w2 = hp2w1;
  hp2w1 = w;

  w = pink - lp1_a1 * lp1w1 - lp1_a2 * lp1w2;
  pink = lp1_b0 * w + lp1_b1 * lp1w1 + lp1_b2 * lp1w2;
  lp1w2 = lp1w1;
  lp1w1 = w;

  w = pink - lp2_a1 * lp2w1 - lp2_a2 * lp2w2;
  pink = lp2_b0 * w + lp2_b1 * lp2w1 + lp2_b2 * lp2w2;
  lp2w2 = lp2w1;
  lp2w1 = w;

  // Limit peaks to +/-C_max_amp
  if ( pink > C_max_amp )
    {
      pink = C_max_amp;
    }
  else if ( pink < -C_max_amp )
    {
      pink = -C_max_amp;
    }

  return pink;
}

//
void
ASDCP::ScalePackSample(float sample, byte_t* p, ui32_t word_size)
{
  byte_t tmp_buf[4];
  Kumu::i2p<i32_t>(KM_i32_LE(sample * C_max_ampl_32), tmp_buf);

  switch ( word_size )
    {
    case 4: *p++ = tmp_buf[0];
    case 3: *p++ = tmp_buf[1];
    case 2: *p++ = tmp_buf[2];
    case 1: *p++ = tmp_buf[3];
    }
}
//
// end ST2095_PinkNoise.cpp
//