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ibxm.Channel Maven / Gradle / Ivy
package ibxm;
public class Channel {
public int pattern_loop_row;
private Module module;
private Instrument instrument;
private Sample sample;
private int[] global_volume, current_note;
private boolean linear_periods, fast_volume_slides, key_on, silent;
private int sample_idx, sample_frac, step, left_gain, right_gain;
private int volume, panning, fine_tune, period, porta_period, key_add;
private int tremolo_speed, tremolo_depth, tremolo_tick, tremolo_wave, tremolo_add;
private int vibrato_speed, vibrato_depth, vibrato_tick, vibrato_wave, vibrato_add;
private int volume_slide_param, portamento_param, retrig_param;
private int volume_envelope_tick, panning_envelope_tick;
private int effect_tick, trigger_tick, fade_out_volume, random_seed;
private int log_2_sampling_rate, log_2_c2_rate;
private static final int LOG_2_29024 = LogTable.log_2( 29024 );
private static final int LOG_2_1712 = LogTable.log_2( 1712 );
private static final int[] sine_table = new int[] {
0, 24 , 49, 74, 97, 120, 141, 161, 180, 197, 212, 224, 235, 244, 250, 253,
255, 253, 250, 244, 235, 224, 212, 197, 180, 161, 141, 120, 97, 74, 49, 24
};
public Channel( Module mod, int sampling_rate, int[] global_vol ) {
module = mod;
global_volume = global_vol;
linear_periods = module.linear_periods;
fast_volume_slides = module.fast_volume_slides;
current_note = new int[ 5 ];
log_2_sampling_rate = LogTable.log_2( sampling_rate );
}
public void reset() {
tremolo_speed = 0;
tremolo_depth = 0;
tremolo_wave = 0;
vibrato_speed = 0;
vibrato_depth = 0;
vibrato_wave = 0;
volume_slide_param = 0;
portamento_param = 0;
retrig_param = 0;
random_seed = 0xABC123;
instrument = module.get_instrument( 0 );
row( 48, 256, 0, 0, 0 );
}
public void resample( int[] mixing_buffer, int frame_offset, int frames, int quality ) {
if( !silent ) {
switch( quality ) {
default:
sample.resample_nearest( sample_idx, sample_frac, step, left_gain, right_gain, mixing_buffer, frame_offset, frames );
break;
case 1:
sample.resample_linear( sample_idx, sample_frac, step, left_gain, right_gain, mixing_buffer, frame_offset, frames );
break;
case 2:
sample.resample_sinc( sample_idx, sample_frac, step, left_gain, right_gain, mixing_buffer, frame_offset, frames );
break;
}
}
}
public void update_sample_idx( int samples ) {
sample_frac += step * samples;
sample_idx += sample_frac >> IBXM.FP_SHIFT;
sample_frac &= IBXM.FP_MASK;
}
public void set_volume( int vol ) {
if( vol < 0 ) {
vol = 0;
}
if( vol > 64 ) {
vol = 64;
}
volume = vol;
}
public void set_panning( int pan ) {
if( pan < 0 ) {
pan = 0;
}
if( pan > 255 ) {
pan = 255;
}
panning = pan;
}
public void row( int key, int inst_idx, int volume_column, int effect, int effect_param ) {
effect = effect & 0xFF;
if( effect >= 0x30 ) {
/* Effects above 0x30 are internal.*/
effect = 0;
}
if( effect == 0x00 && effect_param != 0 ) {
/* Arpeggio.*/
effect = 0x40;
}
if( effect == 0x0E ) {
/* Renumber 0x0Ex effect command.*/
effect = 0x30 + ( ( effect_param & 0xF0 ) >> 4 );
effect_param = effect_param & 0x0F;
}
if( effect == 0x21 ) {
/* Renumber 0x21x effect command.*/
effect = 0x40 + ( ( effect_param & 0xF0 ) >> 4 );
effect_param = effect_param & 0x0F;
}
current_note[ 0 ] = key;
current_note[ 1 ] = inst_idx;
current_note[ 2 ] = volume_column;
current_note[ 3 ] = effect;
current_note[ 4 ] = effect_param;
effect_tick = 0;
trigger_tick += 1;
update_envelopes();
key_add = 0;
vibrato_add = 0;
tremolo_add = 0;
if( ! ( effect == 0x3D && effect_param > 0 ) ) {
/* Not note delay.*/
trigger( key, inst_idx, volume_column, effect );
/* Handle volume column.*/
switch( volume_column & 0xF0 ) {
case 0x00:
/* Do nothing.*/
break;
case 0x60:
/* Volume slide down.*/
break;
case 0x70:
/* Volume slide up.*/
break;
case 0x80:
/* Fine volume slide down.*/
set_volume( volume - ( volume_column & 0x0F ) );
break;
case 0x90:
/* Fine volume slide up.*/
set_volume( volume + ( volume_column & 0x0F ) );
break;
case 0xA0:
/* Set vibrato speed.*/
set_vibrato_speed( volume_column & 0x0F );
break;
case 0xB0:
/* Vibrato.*/
set_vibrato_depth( volume_column & 0x0F );
vibrato();
break;
case 0xC0:
/* Set panning.*/
set_panning( ( volume_column & 0x0F ) << 4 );
break;
case 0xD0:
/* Panning slide left.*/
break;
case 0xE0:
/* Panning slide right.*/
break;
case 0xF0:
/* Tone portamento.*/
set_portamento_param( volume_column & 0x0F );
break;
default:
/* Set volume.*/
set_volume( volume_column - 0x10 );
break;
}
}
if( instrument.vibrato_depth > 0 ) {
auto_vibrato();
}
switch( effect ) {
case 0x01:
/* Portmento Up.*/
set_portamento_param( effect_param );
portamento_up();
break;
case 0x02:
/* Portamento Down.*/
set_portamento_param( effect_param );
portamento_down();
break;
case 0x03:
/* Tone Portamento.*/
set_portamento_param( effect_param );
break;
case 0x04:
/* Vibrato.*/
set_vibrato_speed( ( effect_param & 0xF0 ) >> 4 );
set_vibrato_depth( effect_param & 0x0F );
vibrato();
break;
case 0x05:
/* Tone Portamento + Volume Slide.*/
set_volume_slide_param( effect_param );
volume_slide();
break;
case 0x06:
/* Vibrato + Volume Slide.*/
set_volume_slide_param( effect_param );
vibrato();
volume_slide();
break;
case 0x07:
/* Tremolo.*/
set_tremolo_speed( ( effect_param & 0xF0 ) >> 4 );
set_tremolo_depth( effect_param & 0x0F );
tremolo();
break;
case 0x08:
/* Set Panning.*/
set_panning( effect_param );
break;
case 0x09:
/* Set Sample Index.*/
set_sample_index( effect_param << 8 );
break;
case 0x0A:
/* Volume Slide.*/
set_volume_slide_param( effect_param );
volume_slide();
break;
case 0x0B:
/* Pattern Jump.*/
break;
case 0x0C:
/* Set volume.*/
set_volume( effect_param );
break;
case 0x0D:
/* Pattern Break.*/
break;
case 0x0E:
/* Extended Commands (See 0x30-0x3F).*/
break;
case 0x0F:
/* Set Speed/Tempo.*/
break;
case 0x10:
/* Set Global Volume.*/
set_global_volume( effect_param );
break;
case 0x11:
/* global Volume Slide.*/
set_volume_slide_param( effect_param );
break;
case 0x14:
/* Key Off*/
if( effect_param == 0 ) {
key_on = false;
}
break;
case 0x15:
/* Set Envelope Tick.*/
set_envelope_tick( effect_param );
break;
case 0x19:
/* Panning Slide.*/
set_volume_slide_param( effect_param );
break;
case 0x1B:
/* Retrig + Volume Slide.*/
set_retrig_param( effect_param );
retrig_volume_slide();
break;
case 0x1D:
/* Tremor.*/
set_retrig_param( effect_param );
tremor();
break;
case 0x24:
/* S3M Fine Vibrato.*/
set_vibrato_speed( ( effect_param & 0xF0 ) >> 4 );
set_vibrato_depth( effect_param & 0x0F );
fine_vibrato();
break;
case 0x25:
/* S3M Set Speed.*/
break;
case 0x30:
/* Amiga Set Filter.*/
break;
case 0x31:
/* Fine Portamento Up.*/
set_portamento_param( 0xF0 | effect_param );
portamento_up();
break;
case 0x32:
/* Fine Portamento Down.*/
set_portamento_param( 0xF0 | effect_param );
portamento_down();
break;
case 0x33:
/* Set Glissando Mode.*/
break;
case 0x34:
/* Set Vibrato Waveform.*/
set_vibrato_wave( effect_param );
break;
case 0x35:
/* Set Fine Tune.*/
break;
case 0x36:
/* Pattern Loop.*/
break;
case 0x37:
/* Set Tremolo Waveform.*/
set_tremolo_wave( effect_param );
break;
case 0x38:
/* Set Panning(Obsolete).*/
break;
case 0x39:
/* Retrig.*/
set_retrig_param( effect_param );
break;
case 0x3A:
/* Fine Volume Slide Up.*/
set_volume_slide_param( ( effect_param << 4 ) | 0x0F );
volume_slide();
break;
case 0x3B:
/* Fine Volume Slide Down.*/
set_volume_slide_param( 0xF0 | effect_param );
volume_slide();
break;
case 0x3C:
/* Note Cut.*/
if( effect_param == 0 ) {
set_volume( 0 );
}
break;
case 0x3D:
/* Note Delay.*/
break;
case 0x3E:
/* Pattern Delay.*/
break;
case 0x3F:
/* Invert Loop.*/
break;
case 0x40:
/* Arpeggio.*/
break;
case 0x41:
/* Extra Fine Porta Up.*/
set_portamento_param( 0xE0 | effect_param );
portamento_up();
break;
case 0x42:
/* Extra Fine Porta Down.*/
set_portamento_param( 0xE0 | effect_param );
portamento_down();
break;
}
calculate_amplitude();
calculate_frequency();
}
public void tick() {
int volume_column, effect, effect_param;
volume_column = current_note[ 2 ];
effect = current_note[ 3 ];
effect_param = current_note[ 4 ];
effect_tick += 1;
if( effect == 0x3D && effect_param == effect_tick ) {
/* Note delay.*/
row( current_note[ 0 ], current_note[ 1 ], volume_column, 0, 0 );
} else {
trigger_tick += 1;
vibrato_tick += 1;
tremolo_tick += 1;
update_envelopes();
key_add = 0;
vibrato_add = 0;
tremolo_add = 0;
if( instrument.vibrato_depth > 0 ) {
auto_vibrato();
}
switch( volume_column & 0xF0 ) {
case 0x60:
/* Volume Slide Down.*/
set_volume( volume - ( volume_column & 0x0F ) );
break;
case 0x70:
/* Volume Slide Up.*/
set_volume( volume + ( volume_column & 0x0F ) );
break;
case 0xB0:
/* Vibrato.*/
vibrato();
break;
case 0xD0:
/* Panning Slide Left.*/
set_panning( panning - ( volume_column & 0x0F ) );
break;
case 0xE0:
/* Panning Slide Right.*/
set_panning( panning + ( volume_column & 0x0F ) );
break;
case 0xF0:
/* Tone Portamento.*/
tone_portamento();
break;
}
switch( effect ) {
case 0x01:
/* Portamento Up.*/
portamento_up();
break;
case 0x02:
/* Portamento Down.*/
portamento_down();
break;
case 0x03:
/* Tone Portamento.*/
tone_portamento();
break;
case 0x04:
/* Vibrato.*/
vibrato();
break;
case 0x05:
/* Tone Portamento + Volume Slide.*/
tone_portamento();
volume_slide();
break;
case 0x06:
/* Vibrato + Volume Slide */
vibrato();
volume_slide();
break;
case 0x07:
/* Tremolo.*/
tremolo();
break;
case 0x0A:
/* Volume Slide.*/
volume_slide();
break;
case 0x11:
/* Global Volume Slide.*/
global_volume_slide();
break;
case 0x14:
/* Key off.*/
if( effect_tick == effect_param ) {
key_on = false;
}
break;
case 0x19:
/* Panning Slide.*/
panning_slide();
break;
case 0x1B:
/* Retrig + Volume Slide.*/
retrig_volume_slide();
break;
case 0x1D:
/* Tremor.*/
tremor();
break;
case 0x24:
/* S3M Fine Vibrato.*/
fine_vibrato();
break;
case 0x39:
/* Retrig.*/
retrig_volume_slide();
break;
case 0x3C:
/* Note Cut.*/
if( effect_tick == effect_param ) {
set_volume( 0 );
}
break;
case 0x40:
/* Arpeggio.*/
switch( effect_tick % 3 ) {
case 1:
key_add = ( effect_param & 0xF0 ) >> 4;
break;
case 2:
key_add = effect_param & 0x0F;
break;
}
break;
}
}
calculate_amplitude();
calculate_frequency();
}
private void set_vibrato_speed( int speed ) {
if( speed > 0 ) {
vibrato_speed = speed;
}
}
private void set_vibrato_depth( int depth ) {
if( depth > 0 ) {
vibrato_depth = depth;
}
}
private void set_vibrato_wave( int wave ) {
if( wave < 0 || wave > 7 ) {
wave = 0;
}
vibrato_wave = wave;
}
private void set_tremolo_speed( int speed ) {
if( speed > 0 ) {
tremolo_speed = speed;
}
}
private void set_tremolo_depth( int depth ) {
if( depth > 0 ) {
tremolo_depth = depth;
}
}
private void set_tremolo_wave( int wave ) {
if( wave < 0 || wave > 7 ) {
wave = 0;
}
tremolo_wave = wave;
}
private void vibrato() {
int vibrato_phase;
vibrato_phase = vibrato_tick * vibrato_speed;
vibrato_add += waveform( vibrato_phase, vibrato_wave ) * vibrato_depth >> 5;
}
private void fine_vibrato() {
int vibrato_phase;
vibrato_phase = vibrato_tick * vibrato_speed;
vibrato_add += waveform( vibrato_phase, vibrato_wave ) * vibrato_depth >> 7;
}
private void tremolo() {
int tremolo_phase;
tremolo_phase = tremolo_tick * tremolo_speed;
tremolo_add += waveform( tremolo_phase, tremolo_wave ) * tremolo_depth >> 6;
}
private void set_portamento_param( int param ) {
if( param != 0 ) {
portamento_param = param;
}
}
private void tone_portamento() {
int new_period;
if( porta_period < period ) {
new_period = period - ( portamento_param << 2 );
if( new_period < porta_period ) {
new_period = porta_period;
}
set_period( new_period );
}
if( porta_period > period ) {
new_period = period + ( portamento_param << 2 );
if( new_period > porta_period ) {
new_period = porta_period;
}
set_period( new_period );
}
}
private void portamento_up() {
if( ( portamento_param & 0xF0 ) == 0xE0 ) {
/* Extra-fine porta.*/
if( effect_tick == 0 ) {
set_period( period - ( portamento_param & 0x0F ) );
}
} else if( ( portamento_param & 0xF0 ) == 0xF0 ) {
/* Fine porta.*/
if( effect_tick == 0 ) {
set_period( period - ( ( portamento_param & 0x0F ) << 2 ) );
}
} else {
/* Normal porta.*/
if( effect_tick > 0 ) {
set_period( period - ( portamento_param << 2 ) );
}
}
}
private void portamento_down() {
if( ( portamento_param & 0xF0 ) == 0xE0 ) {
/* Extra-fine porta.*/
if( effect_tick == 0 ) {
set_period( period + ( portamento_param & 0x0F ) );
}
} else if( ( portamento_param & 0xF0 ) == 0xF0 ) {
/* Fine porta.*/
if( effect_tick == 0 ) {
set_period( period + ( ( portamento_param & 0x0F ) << 2 ) );
}
} else {
/* Normal porta.*/
if( effect_tick > 0 ) {
set_period( period + ( portamento_param << 2 ) );
}
}
}
private void set_period( int p ) {
if( p < 32 ) {
p = 32;
}
if( p > 32768 ) {
p = 32768;
}
period = p;
}
private void set_global_volume( int vol ) {
if( vol < 0 ) {
vol = 0;
}
if( vol > 64 ) {
vol = 64;
}
global_volume[ 0 ] = vol;
}
private void set_volume_slide_param( int param ) {
if( param != 0 ) {
volume_slide_param = param;
}
}
private void global_volume_slide() {
int up, down;
up = ( volume_slide_param & 0xF0 ) >> 4;
down = volume_slide_param & 0x0F;
set_global_volume( global_volume[ 0 ] + up - down );
}
private void volume_slide() {
int up, down;
up = ( volume_slide_param & 0xF0 ) >> 4;
down = volume_slide_param & 0x0F;
if( down == 0x0F && up > 0 ) {
/* Fine slide up.*/
if( effect_tick == 0 ) {
set_volume( volume + up );
}
} else if( up == 0x0F && down > 0 ) {
/* Fine slide down.*/
if( effect_tick == 0 ) {
set_volume( volume - down );
}
} else {
/* Normal slide.*/
if( effect_tick > 0 || fast_volume_slides ) {
set_volume( volume + up - down );
}
}
}
private void panning_slide() {
int left, right;
left = ( volume_slide_param & 0xF0 ) >> 4;
right = volume_slide_param & 0x0F;
set_panning( panning - left + right );
}
private void set_retrig_param( int param ) {
if( param != 0 ) {
retrig_param = param;
}
}
private void tremor() {
int on_ticks, cycle_length, cycle_index;
on_ticks = ( ( retrig_param & 0xF0 ) >> 4 ) + 1;
cycle_length = on_ticks + ( retrig_param & 0x0F ) + 1;
cycle_index = trigger_tick % cycle_length;
if( cycle_index >= on_ticks ) {
tremolo_add = -64;
}
}
private void retrig_volume_slide() {
int retrig_volume, retrig_tick;
retrig_volume = ( retrig_param & 0xF0 ) >> 4;
retrig_tick = retrig_param & 0x0F;
if( retrig_tick > 0 && ( trigger_tick % retrig_tick ) == 0 ) {
set_sample_index( 0 );
switch( retrig_volume ) {
case 0x01:
set_volume( volume - 1 );
break;
case 0x02:
set_volume( volume - 2 );
break;
case 0x03:
set_volume( volume - 4 );
break;
case 0x04:
set_volume( volume - 8 );
break;
case 0x05:
set_volume( volume - 16 );
break;
case 0x06:
set_volume( volume - volume / 3 );
break;
case 0x07:
set_volume( volume / 2 );
break;
case 0x09:
set_volume( volume + 1 );
break;
case 0x0A:
set_volume( volume + 2 );
break;
case 0x0B:
set_volume( volume + 4 );
break;
case 0x0C:
set_volume( volume + 8 );
break;
case 0x0D:
set_volume( volume + 16 );
break;
case 0x0E:
set_volume( volume + volume / 2 );
break;
case 0x0F:
set_volume( volume * 2 );
break;
}
}
}
private void set_sample_index( int index ) {
if( index < 0 ) {
index = 0;
}
sample_idx = index;
sample_frac = 0;
}
private void set_envelope_tick( int tick ) {
volume_envelope_tick = tick;
panning_envelope_tick = tick;
}
private void trigger( int key, int instrument_idx, int volume_column, int effect ) {
if( instrument_idx > 0 ) {
instrument = module.get_instrument( instrument_idx );
sample = instrument.get_sample_from_key( key );
set_volume( sample.volume );
if( sample.set_panning ) {
set_panning( sample.panning );
}
log_2_c2_rate = LogTable.log_2( sample.c2_rate );
set_envelope_tick( 0 );
fade_out_volume = 32768;
key_on = true;
}
if( key > 0 ) {
if( key < 97 ) {
porta_period = key_to_period( key );
if( effect != 0x03 && effect != 0x05 ) {
if( ( volume_column & 0xF0 ) != 0xF0 ) {
/* Not portamento.*/
trigger_tick = 0;
if( vibrato_wave < 4 ) {
vibrato_tick = 0;
}
if( tremolo_wave < 4 ) {
tremolo_tick = 0;
}
set_period( porta_period );
set_sample_index( 0 );
}
}
} else {
/* Key off.*/
key_on = false;
}
}
}
private void update_envelopes() {
Envelope envelope;
if( instrument.volume_envelope_active ) {
if( !key_on ) {
fade_out_volume -= instrument.volume_fade_out & 0xFFFF;
if( fade_out_volume < 0 ) {
fade_out_volume = 0;
}
}
envelope = instrument.get_volume_envelope();
volume_envelope_tick = envelope.next_tick( volume_envelope_tick, key_on );
}
if( instrument.panning_envelope_active ) {
envelope = instrument.get_panning_envelope();
panning_envelope_tick = envelope.next_tick( panning_envelope_tick, key_on );
}
}
private void auto_vibrato() {
int sweep, depth, rate;
sweep = instrument.vibrato_sweep & 0xFF;
depth = instrument.vibrato_depth & 0x0F;
rate = instrument.vibrato_rate & 0x3F;
if( trigger_tick < sweep ) {
depth = depth * trigger_tick / sweep;
}
vibrato_add += waveform( trigger_tick * rate, 0 ) * depth >> 9;
}
private int waveform( int phase, int wform ) {
int amplitude;
amplitude = 0;
switch( wform & 0x3 ) {
case 0:
/* Sine. */
if( ( phase & 0x20 ) == 0 ) {
amplitude = sine_table[ phase & 0x1F ];
} else {
amplitude = -sine_table[ phase & 0x1F ];
}
break;
case 1:
/* Saw. */
if( ( phase & 0x20 ) == 0 ) {
amplitude = ( phase & 0x1F ) << 3;
} else {
amplitude = ( ( phase & 0x1F ) << 3 ) - 255;
}
break;
case 2:
/* Square. */
if( ( phase & 0x20 ) == 0 ) {
amplitude = 255;
} else {
amplitude = -255;
}
break;
case 3:
/* Random. */
amplitude = ( random_seed >> 15 ) - 255;
random_seed = ( random_seed * 65 + 17 ) & 0xFFFFFF;
break;
}
return amplitude;
}
private int key_to_period( int key ) {
int log_2_period, period_out;
key = key + sample.relative_note;
if( linear_periods ) {
period_out = 7744 - key * 64;
} else {
log_2_period = LOG_2_29024 - ( key << IBXM.FP_SHIFT ) / 12;
period_out = LogTable.raise_2( log_2_period ) >> IBXM.FP_SHIFT;
}
return period_out;
}
private void calculate_amplitude() {
int envelope_volume, tremolo_volume, amplitude;
int envelope_panning, mixer_panning, panning_range;
Envelope envelope;
envelope_volume = 0;
if( instrument.volume_envelope_active ) {
envelope = instrument.get_volume_envelope();
envelope_volume = envelope.calculate_ampl( volume_envelope_tick );
} else {
if( key_on ) {
envelope_volume = 64;
}
}
tremolo_volume = volume + tremolo_add;
if( tremolo_volume < 0 ) {
tremolo_volume = 0;
}
if( tremolo_volume > 64 ) {
tremolo_volume = 64;
}
amplitude = tremolo_volume << IBXM.FP_SHIFT - 6;
amplitude = amplitude * envelope_volume >> 6;
amplitude = amplitude * fade_out_volume >> 15;
amplitude = amplitude * global_volume[ 0 ] >> 6;
amplitude = amplitude * module.channel_gain >> IBXM.FP_SHIFT;
silent = sample.has_finished( sample_idx );
if( amplitude <= 0 ) {
silent = true;
} else {
envelope_panning = 32;
if( instrument.panning_envelope_active ) {
envelope = instrument.get_panning_envelope();
envelope_panning = envelope.calculate_ampl( panning_envelope_tick );
}
mixer_panning = ( panning & 0xFF ) << IBXM.FP_SHIFT - 8;
panning_range = IBXM.FP_ONE - mixer_panning;
if( panning_range > mixer_panning ) {
panning_range = mixer_panning;
}
mixer_panning = mixer_panning + ( panning_range * ( envelope_panning - 32 ) >> 5 );
left_gain = amplitude * ( IBXM.FP_ONE - mixer_panning ) >> IBXM.FP_SHIFT;
right_gain = amplitude * mixer_panning >> IBXM.FP_SHIFT;
}
}
private void calculate_frequency() {
int vibrato_period, log_2_freq;
vibrato_period = period + vibrato_add;
if( vibrato_period < 32 ) {
vibrato_period = 32;
}
if( vibrato_period > 32768 ) {
vibrato_period = 32768;
}
if( linear_periods ) {
log_2_freq = log_2_c2_rate + ( 4608 - vibrato_period << IBXM.FP_SHIFT ) / 768;
} else {
log_2_freq = log_2_c2_rate + LOG_2_1712 - LogTable.log_2( vibrato_period );
}
log_2_freq += ( ( ( key_add << 7 ) + sample.fine_tune ) << IBXM.FP_SHIFT ) / 1536;
step = LogTable.raise_2( log_2_freq - log_2_sampling_rate );
}
}
