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// Copyright 2018 yuzu Emulator Project
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// Licensed under GPLv2 or any later version
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// Refer to the license.txt file included.
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#define _USE_MATH_DEFINES
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#include <algorithm>
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#include <array>
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#include <cmath>
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#include <vector>
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#include "audio_core/algorithm/filter.h"
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#include "common/common_types.h"
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namespace AudioCore {
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Filter Filter::LowPass(double cutoff, double Q) {
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const double w0 = 2.0 * M_PI * cutoff;
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const double sin_w0 = std::sin(w0);
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const double cos_w0 = std::cos(w0);
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const double alpha = sin_w0 / (2 * Q);
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const double a0 = 1 + alpha;
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const double a1 = -2.0 * cos_w0;
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const double a2 = 1 - alpha;
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const double b0 = 0.5 * (1 - cos_w0);
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const double b1 = 1.0 * (1 - cos_w0);
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const double b2 = 0.5 * (1 - cos_w0);
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return {a0, a1, a2, b0, b1, b2};
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}
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Filter::Filter() : Filter(1.0, 0.0, 0.0, 1.0, 0.0, 0.0) {}
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Filter::Filter(double a0, double a1, double a2, double b0, double b1, double b2)
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: a1(a1 / a0), a2(a2 / a0), b0(b0 / a0), b1(b1 / a0), b2(b2 / a0) {}
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void Filter::Process(std::vector<s16>& signal) {
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const size_t num_frames = signal.size() / 2;
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for (size_t i = 0; i < num_frames; i++) {
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std::rotate(in.begin(), in.end() - 1, in.end());
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std::rotate(out.begin(), out.end() - 1, out.end());
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for (size_t ch = 0; ch < channel_count; ch++) {
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in[0][ch] = signal[i * channel_count + ch];
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out[0][ch] = b0 * in[0][ch] + b1 * in[1][ch] + b2 * in[2][ch] - a1 * out[1][ch] -
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a2 * out[2][ch];
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signal[i * 2 + ch] = std::clamp(out[0][ch], -32768.0, 32767.0);
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}
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}
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}
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/// Calculates the appropriate Q for each biquad in a cascading filter.
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/// @param total_count The total number of biquads to be cascaded.
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/// @param index 0-index of the biquad to calculate the Q value for.
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static double CascadingBiquadQ(size_t total_count, size_t index) {
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const double pole = M_PI * (2 * index + 1) / (4.0 * total_count);
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return 1.0 / (2.0 * std::cos(pole));
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}
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CascadingFilter CascadingFilter::LowPass(double cutoff, size_t cascade_size) {
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std::vector<Filter> cascade(cascade_size);
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for (size_t i = 0; i < cascade_size; i++) {
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cascade[i] = Filter::LowPass(cutoff, CascadingBiquadQ(cascade_size, i));
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}
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return CascadingFilter{std::move(cascade)};
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}
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CascadingFilter::CascadingFilter() = default;
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CascadingFilter::CascadingFilter(std::vector<Filter> filters) : filters(std::move(filters)) {}
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void CascadingFilter::Process(std::vector<s16>& signal) {
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for (auto& filter : filters) {
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filter.Process(signal);
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}
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}
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} // namespace AudioCore
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// Copyright 2018 yuzu Emulator Project
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// Licensed under GPLv2 or any later version
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// Refer to the license.txt file included.
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#pragma once
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#include <array>
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#include <vector>
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#include "common/common_types.h"
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namespace AudioCore {
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/// Digital biquad filter:
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///
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/// b0 + b1 z^-1 + b2 z^-2
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/// H(z) = ------------------------
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/// a0 + a1 z^-1 + b2 z^-2
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class Filter {
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public:
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/// Creates a low-pass filter.
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/// @param cutoff Determines the cutoff frequency. A value from 0.0 to 1.0.
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/// @param Q Determines the quality factor of this filter.
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static Filter LowPass(double cutoff, double Q = 0.7071);
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/// Passthrough filter.
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Filter();
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Filter(double a0, double a1, double a2, double b0, double b1, double b2);
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void Process(std::vector<s16>& signal);
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private:
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static constexpr size_t channel_count = 2;
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/// Coefficients are in normalized form (a0 = 1.0).
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double a1, a2, b0, b1, b2;
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/// Input History
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std::array<std::array<double, channel_count>, 3> in;
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/// Output History
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std::array<std::array<double, channel_count>, 3> out;
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};
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/// Cascade filters to build up higher-order filters from lower-order ones.
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class CascadingFilter {
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public:
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/// Creates a cascading low-pass filter.
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/// @param cutoff Determines the cutoff frequency. A value from 0.0 to 1.0.
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/// @param cascade_size Number of biquads in cascade.
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static CascadingFilter LowPass(double cutoff, size_t cascade_size);
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/// Passthrough.
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CascadingFilter();
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explicit CascadingFilter(std::vector<Filter> filters);
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void Process(std::vector<s16>& signal);
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private:
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std::vector<Filter> filters;
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};
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} // namespace AudioCore
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// Copyright 2018 yuzu Emulator Project
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// Licensed under GPLv2 or any later version
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// Refer to the license.txt file included.
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#define _USE_MATH_DEFINES
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#include <algorithm>
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#include <cmath>
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#include <vector>
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#include "audio_core/algorithm/interpolate.h"
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#include "common/common_types.h"
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#include "common/logging/log.h"
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namespace AudioCore {
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/// The Lanczos kernel
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static double Lanczos(size_t a, double x) {
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if (x == 0.0)
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return 1.0;
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const double px = M_PI * x;
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return a * std::sin(px) * std::sin(px / a) / (px * px);
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}
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std::vector<s16> Interpolate(InterpolationState& state, std::vector<s16> input, double ratio) {
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if (input.size() < 2)
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return {};
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if (ratio <= 0) {
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LOG_CRITICAL(Audio, "Nonsensical interpolation ratio {}", ratio);
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ratio = 1.0;
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}
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if (ratio != state.current_ratio) {
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const double cutoff_frequency = std::min(0.5 / ratio, 0.5 * ratio);
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state.nyquist = CascadingFilter::LowPass(std::clamp(cutoff_frequency, 0.0, 0.4), 3);
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state.current_ratio = ratio;
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}
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state.nyquist.Process(input);
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constexpr size_t taps = InterpolationState::lanczos_taps;
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const size_t num_frames = input.size() / 2;
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std::vector<s16> output;
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output.reserve(static_cast<size_t>(input.size() / ratio + 4));
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double& pos = state.position;
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auto& h = state.history;
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for (size_t i = 0; i < num_frames; ++i) {
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std::rotate(h.begin(), h.end() - 1, h.end());
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h[0][0] = input[i * 2 + 0];
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h[0][1] = input[i * 2 + 1];
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while (pos <= 1.0) {
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double l = 0.0;
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double r = 0.0;
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for (size_t j = 0; j < h.size(); j++) {
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l += Lanczos(taps, pos + j - taps + 1) * h[j][0];
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r += Lanczos(taps, pos + j - taps + 1) * h[j][1];
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}
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output.emplace_back(static_cast<s16>(std::clamp(l, -32768.0, 32767.0)));
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output.emplace_back(static_cast<s16>(std::clamp(r, -32768.0, 32767.0)));
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pos += ratio;
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}
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pos -= 1.0;
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}
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return output;
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}
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} // namespace AudioCore
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// Copyright 2018 yuzu Emulator Project
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// Licensed under GPLv2 or any later version
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// Refer to the license.txt file included.
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#pragma once
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#include <array>
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#include <vector>
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#include "audio_core/algorithm/filter.h"
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#include "common/common_types.h"
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namespace AudioCore {
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struct InterpolationState {
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static constexpr size_t lanczos_taps = 4;
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static constexpr size_t history_size = lanczos_taps * 2 - 1;
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double current_ratio = 0.0;
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CascadingFilter nyquist;
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std::array<std::array<s16, 2>, history_size> history = {};
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double position = 0;
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};
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/// Interpolates input signal to produce output signal.
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/// @param input The signal to interpolate.
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/// @param ratio Interpolation ratio.
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/// ratio > 1.0 results in fewer output samples.
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/// ratio < 1.0 results in more output samples.
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/// @returns Output signal.
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std::vector<s16> Interpolate(InterpolationState& state, std::vector<s16> input, double ratio);
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/// Interpolates input signal to produce output signal.
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/// @param input The signal to interpolate.
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/// @param input_rate The sample rate of input.
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/// @param output_rate The desired sample rate of the output.
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/// @returns Output signal.
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inline std::vector<s16> Interpolate(InterpolationState& state, std::vector<s16> input,
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u32 input_rate, u32 output_rate) {
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const double ratio = static_cast<double>(input_rate) / static_cast<double>(output_rate);
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return Interpolate(state, std::move(input), ratio);
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}
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} // namespace AudioCore
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