/* Audio Library for Teensy 3.X * Copyright (c) 2014, Paul Stoffregen, paul@pjrc.com * * Development of this audio library was funded by PJRC.COM, LLC by sales of * Teensy and Audio Adaptor boards. Please support PJRC's efforts to develop * open source software by purchasing Teensy or other PJRC products. * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to deal * in the Software without restriction, including without limitation the rights * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell * copies of the Software, and to permit persons to whom the Software is * furnished to do so, subject to the following conditions: * * The above copyright notice, development funding notice, and this permission * notice shall be included in all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN * THE SOFTWARE. */ #include "filter_variable.h" #include "utility/dspinst.h" // State Variable Filter (Chamberlin) with 2X oversampling // http://www.musicdsp.org/showArchiveComment.php?ArchiveID=92 // The fast 32x32 with rshift32 discards 2 bits, which probably // never matter. //#define MULT(a, b) (int32_t)(((int64_t)(a) * (b)) >> 30) #define MULT(a, b) (multiply_32x32_rshift32_rounded(a, b) << 2) // It's very unlikely anyone could hear any difference, but if you // care deeply about numerical precision in seldom-used cases, // uncomment this to improve the control signal accuracy //#define IMPROVE_HIGH_FREQUENCY_ACCURACY // This increases the exponential approximation accuracy from // about 0.341% error to only 0.012% error, which probably makes // no audible difference. //#define IMPROVE_EXPONENTIAL_ACCURACY #if defined(KINETISK) void AudioFilterStateVariable::update_fixed(const int16_t *in, int16_t *lp, int16_t *bp, int16_t *hp) { const int16_t *end = in + AUDIO_BLOCK_SAMPLES; int32_t input, inputprev; int32_t lowpass, bandpass, highpass; int32_t lowpasstmp, bandpasstmp, highpasstmp; int32_t fmult, damp; fmult = setting_fmult; damp = setting_damp; inputprev = state_inputprev; lowpass = state_lowpass; bandpass = state_bandpass; do { input = (*in++) << 12; lowpass = lowpass + MULT(fmult, bandpass); highpass = ((input + inputprev)>>1) - lowpass - MULT(damp, bandpass); inputprev = input; bandpass = bandpass + MULT(fmult, highpass); lowpasstmp = lowpass; bandpasstmp = bandpass; highpasstmp = highpass; lowpass = lowpass + MULT(fmult, bandpass); highpass = input - lowpass - MULT(damp, bandpass); bandpass = bandpass + MULT(fmult, highpass); lowpasstmp = signed_saturate_rshift(lowpass+lowpasstmp, 16, 13); bandpasstmp = signed_saturate_rshift(bandpass+bandpasstmp, 16, 13); highpasstmp = signed_saturate_rshift(highpass+highpasstmp, 16, 13); *lp++ = lowpasstmp; *bp++ = bandpasstmp; *hp++ = highpasstmp; } while (in < end); state_inputprev = inputprev; state_lowpass = lowpass; state_bandpass = bandpass; } void AudioFilterStateVariable::update_variable(const int16_t *in, const int16_t *ctl, int16_t *lp, int16_t *bp, int16_t *hp) { const int16_t *end = in + AUDIO_BLOCK_SAMPLES; int32_t input, inputprev, control; int32_t lowpass, bandpass, highpass; int32_t lowpasstmp, bandpasstmp, highpasstmp; int32_t fcenter, fmult, damp, octavemult; int32_t n; fcenter = setting_fcenter; octavemult = setting_octavemult; damp = setting_damp; inputprev = state_inputprev; lowpass = state_lowpass; bandpass = state_bandpass; do { // compute fmult using control input, fcenter and octavemult control = *ctl++; // signal is always 15 fractional bits control *= octavemult; // octavemult range: 0 to 28671 (12 frac bits) n = control & 0x7FFFFFF; // 27 fractional control bits #ifdef IMPROVE_EXPONENTIAL_ACCURACY // exp2 polynomial suggested by Stefan Stenzel on "music-dsp" // mail list, Wed, 3 Sep 2014 10:08:55 +0200 int32_t x = n << 3; n = multiply_accumulate_32x32_rshift32_rounded(536870912, x, 1494202713); int32_t sq = multiply_32x32_rshift32_rounded(x, x); n = multiply_accumulate_32x32_rshift32_rounded(n, sq, 1934101615); n = n + (multiply_32x32_rshift32_rounded(sq, multiply_32x32_rshift32_rounded(x, 1358044250)) << 1); n = n << 1; #else // exp2 algorithm by Laurent de Soras // http://www.musicdsp.org/showone.php?id=106 n = (n + 134217728) << 3; n = multiply_32x32_rshift32_rounded(n, n); n = multiply_32x32_rshift32_rounded(n, 715827883) << 3; n = n + 715827882; #endif n = n >> (6 - (control >> 27)); // 4 integer control bits fmult = multiply_32x32_rshift32_rounded(fcenter, n); if (fmult > 5378279) fmult = 5378279; fmult = fmult << 8; // fmult is within 0.4% accuracy for all but the top 2 octaves // of the audio band. This math improves accuracy above 5 kHz. // Without this, the filter still works fine for processing // high frequencies, but the filter's corner frequency response // can end up about 6% higher than requested. #ifdef IMPROVE_HIGH_FREQUENCY_ACCURACY // From "Fast Polynomial Approximations to Sine and Cosine" // Charles K Garrett, http://krisgarrett.net/ fmult = (multiply_32x32_rshift32_rounded(fmult, 2145892402) + multiply_32x32_rshift32_rounded( multiply_32x32_rshift32_rounded(fmult, fmult), multiply_32x32_rshift32_rounded(fmult, -1383276101))) << 1; #endif // now do the state variable filter as normal, using fmult input = (*in++) << 12; lowpass = lowpass + MULT(fmult, bandpass); highpass = ((input + inputprev)>>1) - lowpass - MULT(damp, bandpass); inputprev = input; bandpass = bandpass + MULT(fmult, highpass); lowpasstmp = lowpass; bandpasstmp = bandpass; highpasstmp = highpass; lowpass = lowpass + MULT(fmult, bandpass); highpass = input - lowpass - MULT(damp, bandpass); bandpass = bandpass + MULT(fmult, highpass); lowpasstmp = signed_saturate_rshift(lowpass+lowpasstmp, 16, 13); bandpasstmp = signed_saturate_rshift(bandpass+bandpasstmp, 16, 13); highpasstmp = signed_saturate_rshift(highpass+highpasstmp, 16, 13); *lp++ = lowpasstmp; *bp++ = bandpasstmp; *hp++ = highpasstmp; } while (in < end); state_inputprev = inputprev; state_lowpass = lowpass; state_bandpass = bandpass; } void AudioFilterStateVariable::update(void) { audio_block_t *input_block=NULL, *control_block=NULL; audio_block_t *lowpass_block=NULL, *bandpass_block=NULL, *highpass_block=NULL; input_block = receiveReadOnly(0); control_block = receiveReadOnly(1); if (!input_block) { if (control_block) release(control_block); return; } lowpass_block = allocate(); if (!lowpass_block) { release(input_block); if (control_block) release(control_block); return; } bandpass_block = allocate(); if (!bandpass_block) { release(input_block); release(lowpass_block); if (control_block) release(control_block); return; } highpass_block = allocate(); if (!highpass_block) { release(input_block); release(lowpass_block); release(bandpass_block); if (control_block) release(control_block); return; } if (control_block) { update_variable(input_block->data, control_block->data, lowpass_block->data, bandpass_block->data, highpass_block->data); release(control_block); } else { update_fixed(input_block->data, lowpass_block->data, bandpass_block->data, highpass_block->data); } release(input_block); transmit(lowpass_block, 0); release(lowpass_block); transmit(bandpass_block, 1); release(bandpass_block); transmit(highpass_block, 2); release(highpass_block); return; } #elif defined(KINETISL) void AudioFilterStateVariable::update(void) { audio_block_t *block; block = receiveReadOnly(0); if (block) release(block); block = receiveReadOnly(1); if (block) release(block); } #endif