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+/*
+ * Copyright (C) 2016 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ *
+ * This code was translated from the JSyn Java code.
+ * JSyn is Copyright 2009 Phil Burk, Mobileer Inc
+ * JSyn is licensed under the Apache License, Version 2.0
+ */
+
+#ifndef SYNTHMARK_DIFFERENTIATED_PARABOLA_H
+#define SYNTHMARK_DIFFERENTIATED_PARABOLA_H
+
+#include <cstdint>
+#include <math.h>
+#include "SynthTools.h"
+
+namespace marksynth {
+
+constexpr double kDPWVeryLowFrequency = 2.0 * 0.1 / kSynthmarkSampleRate;
+
+/**
+ * DPW is a tool for generating band-limited waveforms
+ * based on a paper by Antti Huovilainen and Vesa Valimaki:
+ * "New Approaches to Digital Subtractive Synthesis"
+ */
+class DifferentiatedParabola
+{
+public:
+ DifferentiatedParabola()
+ : mZ1(0)
+ , mZ2(0) {}
+
+ virtual ~DifferentiatedParabola() = default;
+
+ synth_float_t next(synth_float_t phase, synth_float_t phaseIncrement) {
+ synth_float_t dpw;
+ synth_float_t positivePhaseIncrement = (phaseIncrement < 0.0)
+ ? phaseIncrement
+ : 0.0 - phaseIncrement;
+
+ // If the frequency is very low then just use the raw sawtooth.
+ // This avoids divide by zero problems and scaling problems.
+ if (positivePhaseIncrement < kDPWVeryLowFrequency) {
+ dpw = phase;
+ } else {
+ // Calculate the parabola.
+ synth_float_t squared = phase * phase;
+ // Differentiate using a delayed value.
+ synth_float_t diffed = squared - mZ2;
+ // Delay line.
+ // TODO - Why Z2. Vesa's paper says use Z1?
+ mZ2 = mZ1;
+ mZ1 = squared;
+
+ // Calculate scaling
+ dpw = diffed * 0.25f / positivePhaseIncrement; // TODO extract and optimize
+ }
+ return dpw;
+ }
+
+private:
+ synth_float_t mZ1;
+ synth_float_t mZ2;
+};
+
+};
+#endif // SYNTHMARK_DIFFERENTIATED_PARABOLA_H