/* Copyright (C) 2003, 2004, 2005, 2006, 2008, 2009 Dean Beeler, Jerome Fisher * Copyright (C) 2011-2016 Dean Beeler, Jerome Fisher, Sergey V. Mikayev * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as published by * the Free Software Foundation, either version 2.1 of the License, or * (at your option) any later version. * * This program 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 Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public License * along with this program. If not, see . */ #ifndef MT32EMU_LA32_WAVE_GENERATOR_CPP #error This file should be included from LA32WaveGenerator.cpp only. #endif #include "mmath.h" namespace MT32Emu { static const float MIDDLE_CUTOFF_VALUE = 128.0f; static const float RESONANCE_DECAY_THRESHOLD_CUTOFF_VALUE = 144.0f; static const float MAX_CUTOFF_VALUE = 240.0f; float LA32WaveGenerator::getPCMSample(unsigned int position) { if (position >= pcmWaveLength) { if (!pcmWaveLooped) { return 0; } position = position % pcmWaveLength; } Bit16s pcmSample = pcmWaveAddress[position]; float sampleValue = EXP2F(((pcmSample & 32767) - 32787.0f) / 2048.0f); return ((pcmSample & 32768) == 0) ? sampleValue : -sampleValue; } void LA32WaveGenerator::initSynth(const bool useSawtoothWaveform, const Bit8u usePulseWidth, const Bit8u useResonance) { sawtoothWaveform = useSawtoothWaveform; pulseWidth = usePulseWidth; resonance = useResonance; wavePos = 0.0f; lastFreq = 0.0f; pcmWaveAddress = NULL; active = true; } void LA32WaveGenerator::initPCM(const Bit16s * const usePCMWaveAddress, const Bit32u usePCMWaveLength, const bool usePCMWaveLooped, const bool usePCMWaveInterpolated) { pcmWaveAddress = usePCMWaveAddress; pcmWaveLength = usePCMWaveLength; pcmWaveLooped = usePCMWaveLooped; pcmWaveInterpolated = usePCMWaveInterpolated; pcmPosition = 0.0f; active = true; } // ampVal - Logarithmic amp of the wave generator // pitch - Logarithmic frequency of the resulting wave // cutoffRampVal - Composed of the base cutoff in range [78..178] left-shifted by 18 bits and the TVF modifier float LA32WaveGenerator::generateNextSample(const Bit32u ampVal, const Bit16u pitch, const Bit32u cutoffRampVal) { if (!active) { return 0.0f; } float sample = 0.0f; // SEMI-CONFIRMED: From sample analysis: // (1) Tested with a single partial playing PCM wave 77 with pitchCoarse 36 and no keyfollow, velocity follow, etc. // This gives results within +/- 2 at the output (before any DAC bitshifting) // when sustaining at levels 156 - 255 with no modifiers. // (2) Tested with a special square wave partial (internal capture ID tva5) at TVA envelope levels 155-255. // This gives deltas between -1 and 0 compared to the real output. Note that this special partial only produces // positive amps, so negative still needs to be explored, as well as lower levels. // // Also still partially unconfirmed is the behaviour when ramping between levels, as well as the timing. float amp = EXP2F(ampVal / -1024.0f / 4096.0f); float freq = EXP2F(pitch / 4096.0f - 16.0f) * SAMPLE_RATE; if (isPCMWave()) { // Render PCM waveform int len = pcmWaveLength; int intPCMPosition = (int)pcmPosition; if (intPCMPosition >= len && !pcmWaveLooped) { // We're now past the end of a non-looping PCM waveform so it's time to die. deactivate(); return 0.0f; } float positionDelta = freq * 2048.0f / SAMPLE_RATE; // Linear interpolation float firstSample = getPCMSample(intPCMPosition); // We observe that for partial structures with ring modulation the interpolation is not applied to the slave PCM partial. // It's assumed that the multiplication circuitry intended to perform the interpolation on the slave PCM partial // is borrowed by the ring modulation circuit (or the LA32 chip has a similar lack of resources assigned to each partial pair). if (pcmWaveInterpolated) { sample = firstSample + (getPCMSample(intPCMPosition + 1) - firstSample) * (pcmPosition - intPCMPosition); } else { sample = firstSample; } float newPCMPosition = pcmPosition + positionDelta; if (pcmWaveLooped) { newPCMPosition = fmod(newPCMPosition, (float)pcmWaveLength); } pcmPosition = newPCMPosition; } else { // Render synthesised waveform wavePos *= lastFreq / freq; lastFreq = freq; float resAmp = EXP2F(1.0f - (32 - resonance) / 4.0f); { //static const float resAmpFactor = EXP2F(-7); //resAmp = EXP2I(resonance << 10) * resAmpFactor; } // The cutoffModifier may not be supposed to be directly added to the cutoff - // it may for example need to be multiplied in some way. // The 240 cutoffVal limit was determined via sample analysis (internal Munt capture IDs: glop3, glop4). // More research is needed to be sure that this is correct, however. float cutoffVal = cutoffRampVal / 262144.0f; if (cutoffVal > MAX_CUTOFF_VALUE) { cutoffVal = MAX_CUTOFF_VALUE; } // Wave length in samples float waveLen = SAMPLE_RATE / freq; // Init cosineLen float cosineLen = 0.5f * waveLen; if (cutoffVal > MIDDLE_CUTOFF_VALUE) { cosineLen *= EXP2F((cutoffVal - MIDDLE_CUTOFF_VALUE) / -16.0f); // found from sample analysis } // Start playing in center of first cosine segment // relWavePos is shifted by a half of cosineLen float relWavePos = wavePos + 0.5f * cosineLen; if (relWavePos > waveLen) { relWavePos -= waveLen; } // Ratio of positive segment to wave length float pulseLen = 0.5f; if (pulseWidth > 128) { pulseLen = EXP2F((64 - pulseWidth) / 64.0f); //static const float pulseLenFactor = EXP2F(-192 / 64); //pulseLen = EXP2I((256 - pulseWidthVal) << 6) * pulseLenFactor; } pulseLen *= waveLen; float hLen = pulseLen - cosineLen; // Ignore pulsewidths too high for given freq if (hLen < 0.0f) { hLen = 0.0f; } // Ignore pulsewidths too high for given freq and cutoff float lLen = waveLen - hLen - 2 * cosineLen; if (lLen < 0.0f) { lLen = 0.0f; } // Correct resAmp for cutoff in range 50..66 if ((cutoffVal >= 128.0f) && (cutoffVal < 144.0f)) { resAmp *= sin(FLOAT_PI * (cutoffVal - 128.0f) / 32.0f); } // Produce filtered square wave with 2 cosine waves on slopes // 1st cosine segment if (relWavePos < cosineLen) { sample = -cos(FLOAT_PI * relWavePos / cosineLen); } else // high linear segment if (relWavePos < (cosineLen + hLen)) { sample = 1.f; } else // 2nd cosine segment if (relWavePos < (2 * cosineLen + hLen)) { sample = cos(FLOAT_PI * (relWavePos - (cosineLen + hLen)) / cosineLen); } else { // low linear segment sample = -1.f; } if (cutoffVal < 128.0f) { // Attenuate samples below cutoff 50 // Found by sample analysis sample *= EXP2F(-0.125f * (128.0f - cutoffVal)); } else { // Add resonance sine. Effective for cutoff > 50 only float resSample = 1.0f; // Resonance decay speed factor float resAmpDecayFactor = Tables::getInstance().resAmpDecayFactor[resonance >> 2]; // Now relWavePos counts from the middle of first cosine relWavePos = wavePos; // negative segments if (!(relWavePos < (cosineLen + hLen))) { resSample = -resSample; relWavePos -= cosineLen + hLen; // From the digital captures, the decaying speed of the resonance sine is found a bit different for the positive and the negative segments resAmpDecayFactor += 0.25f; } // Resonance sine WG resSample *= sin(FLOAT_PI * relWavePos / cosineLen); // Resonance sine amp float resAmpFadeLog2 = -0.125f * resAmpDecayFactor * (relWavePos / cosineLen); // seems to be exact float resAmpFade = EXP2F(resAmpFadeLog2); // Now relWavePos set negative to the left from center of any cosine relWavePos = wavePos; // negative segment if (!(wavePos < (waveLen - 0.5f * cosineLen))) { relWavePos -= waveLen; } else // positive segment if (!(wavePos < (hLen + 0.5f * cosineLen))) { relWavePos -= cosineLen + hLen; } // To ensure the output wave has no breaks, two different windows are appied to the beginning and the ending of the resonance sine segment if (relWavePos < 0.5f * cosineLen) { float syncSine = sin(FLOAT_PI * relWavePos / cosineLen); if (relWavePos < 0.0f) { // The window is synchronous square sine here resAmpFade *= syncSine * syncSine; } else { // The window is synchronous sine here resAmpFade *= syncSine; } } sample += resSample * resAmp * resAmpFade; } // sawtooth waves if (sawtoothWaveform) { sample *= cos(FLOAT_2PI * wavePos / waveLen); } wavePos++; // wavePos isn't supposed to be > waveLen if (wavePos > waveLen) { wavePos -= waveLen; } } // Multiply sample with current TVA value sample *= amp; return sample; } void LA32WaveGenerator::deactivate() { active = false; } bool LA32WaveGenerator::isActive() const { return active; } bool LA32WaveGenerator::isPCMWave() const { return pcmWaveAddress != NULL; } void LA32PartialPair::init(const bool useRingModulated, const bool useMixed) { ringModulated = useRingModulated; mixed = useMixed; masterOutputSample = 0.0f; slaveOutputSample = 0.0f; } void LA32PartialPair::initSynth(const PairType useMaster, const bool sawtoothWaveform, const Bit8u pulseWidth, const Bit8u resonance) { if (useMaster == MASTER) { master.initSynth(sawtoothWaveform, pulseWidth, resonance); } else { slave.initSynth(sawtoothWaveform, pulseWidth, resonance); } } void LA32PartialPair::initPCM(const PairType useMaster, const Bit16s *pcmWaveAddress, const Bit32u pcmWaveLength, const bool pcmWaveLooped) { if (useMaster == MASTER) { master.initPCM(pcmWaveAddress, pcmWaveLength, pcmWaveLooped, true); } else { slave.initPCM(pcmWaveAddress, pcmWaveLength, pcmWaveLooped, !ringModulated); } } void LA32PartialPair::generateNextSample(const PairType useMaster, const Bit32u amp, const Bit16u pitch, const Bit32u cutoff) { if (useMaster == MASTER) { masterOutputSample = master.generateNextSample(amp, pitch, cutoff); } else { slaveOutputSample = slave.generateNextSample(amp, pitch, cutoff); } } static inline float produceDistortedSample(float sample) { if (sample < -1.0f) { return sample + 2.0f; } else if (1.0f < sample) { return sample - 2.0f; } return sample; } float LA32PartialPair::nextOutSample() { if (!ringModulated) { return masterOutputSample + slaveOutputSample; } /* * SEMI-CONFIRMED: Ring modulation model derived from sample analysis of specially constructed patches which exploit distortion. * LA32 ring modulator found to produce distorted output in case if the absolute value of maximal amplitude of one of the input partials exceeds 8191. * This is easy to reproduce using synth partials with resonance values close to the maximum. It looks like an integer overflow happens in this case. * As the distortion is strictly bound to the amplitude of the complete mixed square + resonance wave in the linear space, * it is reasonable to assume the ring modulation is performed also in the linear space by sample multiplication. * Most probably the overflow is caused by limited precision of the multiplication circuit as the very similar distortion occurs with panning. */ float ringModulatedSample = produceDistortedSample(masterOutputSample) * produceDistortedSample(slaveOutputSample); return mixed ? masterOutputSample + ringModulatedSample : ringModulatedSample; } void LA32PartialPair::deactivate(const PairType useMaster) { if (useMaster == MASTER) { master.deactivate(); masterOutputSample = 0.0f; } else { slave.deactivate(); slaveOutputSample = 0.0f; } } bool LA32PartialPair::isActive(const PairType useMaster) const { return useMaster == MASTER ? master.isActive() : slave.isActive(); } } // namespace MT32Emu