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Update OpenAL-soft to 1.23.1-bc7cb17.
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@@ -5,18 +5,62 @@
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#include <array>
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#include <cassert>
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#include <cmath>
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#include <cstddef>
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#include <limits>
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#include <memory>
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#include <stdexcept>
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#include "alnumbers.h"
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#include "core/mixer/defs.h"
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#include "alnumeric.h"
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#include "bsinc_defs.h"
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#include "resampler_limits.h"
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namespace {
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using uint = unsigned int;
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#if __cpp_lib_math_special_functions >= 201603L
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using std::cyl_bessel_i;
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#else
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/* The zero-order modified Bessel function of the first kind, used for the
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* Kaiser window.
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*
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* I_0(x) = sum_{k=0}^inf (1 / k!)^2 (x / 2)^(2 k)
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* = sum_{k=0}^inf ((x / 2)^k / k!)^2
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*
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* This implementation only handles nu = 0, and isn't the most precise (it
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* starts with the largest value and accumulates successively smaller values,
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* compounding the rounding and precision error), but it's good enough.
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*/
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template<typename T, typename U>
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U cyl_bessel_i(T nu, U x)
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{
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if(nu != T{0})
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throw std::runtime_error{"cyl_bessel_i: nu != 0"};
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/* Start at k=1 since k=0 is trivial. */
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const double x2{x/2.0};
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double term{1.0};
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double sum{1.0};
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int k{1};
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/* Let the integration converge until the term of the sum is no longer
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* significant.
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*/
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double last_sum{};
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do {
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const double y{x2 / k};
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++k;
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last_sum = sum;
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term *= y * y;
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sum += term;
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} while(sum != last_sum);
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return static_cast<U>(sum);
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}
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#endif
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/* This is the normalized cardinal sine (sinc) function.
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*
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@@ -31,35 +75,6 @@ constexpr double Sinc(const double x)
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return std::sin(al::numbers::pi*x) / (al::numbers::pi*x);
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}
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/* The zero-order modified Bessel function of the first kind, used for the
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* Kaiser window.
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*
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* I_0(x) = sum_{k=0}^inf (1 / k!)^2 (x / 2)^(2 k)
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* = sum_{k=0}^inf ((x / 2)^k / k!)^2
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*/
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constexpr double BesselI_0(const double x) noexcept
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{
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/* Start at k=1 since k=0 is trivial. */
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const double x2{x / 2.0};
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double term{1.0};
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double sum{1.0};
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double last_sum{};
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int k{1};
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/* Let the integration converge until the term of the sum is no longer
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* significant.
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*/
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do {
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const double y{x2 / k};
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++k;
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last_sum = sum;
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term *= y * y;
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sum += term;
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} while(sum != last_sum);
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return sum;
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}
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/* Calculate a Kaiser window from the given beta value and a normalized k
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* [-1, 1].
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*
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@@ -78,7 +93,7 @@ constexpr double Kaiser(const double beta, const double k, const double besseli_
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{
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if(!(k >= -1.0 && k <= 1.0))
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return 0.0;
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return BesselI_0(beta * std::sqrt(1.0 - k*k)) / besseli_0_beta;
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return cyl_bessel_i(0, beta * std::sqrt(1.0 - k*k)) / besseli_0_beta;
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}
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/* Calculates the (normalized frequency) transition width of the Kaiser window.
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@@ -97,7 +112,7 @@ constexpr double CalcKaiserBeta(const double rejection)
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{
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if(rejection > 50.0)
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return 0.1102 * (rejection-8.7);
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else if(rejection >= 21.0)
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if(rejection >= 21.0)
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return (0.5842 * std::pow(rejection-21.0, 0.4)) + (0.07886 * (rejection-21.0));
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return 0.0;
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}
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@@ -107,24 +122,18 @@ struct BSincHeader {
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double width{};
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double beta{};
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double scaleBase{};
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double scaleRange{};
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double besseli_0_beta{};
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uint a[BSincScaleCount]{};
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std::array<uint,BSincScaleCount> a{};
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uint total_size{};
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constexpr BSincHeader(uint Rejection, uint Order) noexcept
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: width{CalcKaiserWidth(Rejection, Order)}, beta{CalcKaiserBeta(Rejection)}
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, scaleBase{width / 2.0}
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{
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width = CalcKaiserWidth(Rejection, Order);
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beta = CalcKaiserBeta(Rejection);
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scaleBase = width / 2.0;
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scaleRange = 1.0 - scaleBase;
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besseli_0_beta = BesselI_0(beta);
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uint num_points{Order+1};
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for(uint si{0};si < BSincScaleCount;++si)
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{
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const double scale{scaleBase + (scaleRange * (si+1) / BSincScaleCount)};
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const double scale{lerpd(scaleBase, 1.0, (si+1) / double{BSincScaleCount})};
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const uint a_{std::min(static_cast<uint>(num_points / 2.0 / scale), num_points)};
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const uint m{2 * a_};
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@@ -142,37 +151,20 @@ constexpr BSincHeader bsinc12_hdr{60, 11};
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constexpr BSincHeader bsinc24_hdr{60, 23};
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/* NOTE: GCC 5 has an issue with BSincHeader objects being in an anonymous
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* namespace while also being used as non-type template parameters.
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*/
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#if !defined(__clang__) && defined(__GNUC__) && __GNUC__ < 6
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/* The number of sample points is double the a value (rounded up to a multiple
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* of 4), and scale index 0 includes the doubling for downsampling. bsinc24 is
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* currently the highest quality filter, and will use the most sample points.
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*/
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constexpr uint BSincPointsMax{(bsinc24_hdr.a[0]*2 + 3) & ~3u};
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static_assert(BSincPointsMax <= MaxResamplerPadding, "MaxResamplerPadding is too small");
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template<size_t total_size>
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struct BSincFilterArray {
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alignas(16) std::array<float, total_size> mTable;
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const BSincHeader &hdr;
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BSincFilterArray(const BSincHeader &hdr_) : hdr{hdr_}
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{
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#else
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template<const BSincHeader &hdr>
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struct BSincFilterArray {
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alignas(16) std::array<float, hdr.total_size> mTable{};
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BSincFilterArray()
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{
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constexpr uint BSincPointsMax{(hdr.a[0]*2 + 3) & ~3u};
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static constexpr uint BSincPointsMax{(hdr.a[0]*2u + 3u) & ~3u};
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static_assert(BSincPointsMax <= MaxResamplerPadding, "MaxResamplerPadding is too small");
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#endif
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using filter_type = double[BSincPhaseCount+1][BSincPointsMax];
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auto filter = std::make_unique<filter_type[]>(BSincScaleCount);
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using filter_type = std::array<std::array<double,BSincPointsMax>,BSincPhaseCount>;
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auto filterptr = std::make_unique<std::array<filter_type,BSincScaleCount>>();
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const auto filter = filterptr->begin();
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const double besseli_0_beta{cyl_bessel_i(0, hdr.beta)};
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/* Calculate the Kaiser-windowed Sinc filter coefficients for each
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* scale and phase index.
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@@ -181,22 +173,19 @@ struct BSincFilterArray {
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{
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const uint m{hdr.a[si] * 2};
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const size_t o{(BSincPointsMax-m) / 2};
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const double scale{hdr.scaleBase + (hdr.scaleRange * (si+1) / BSincScaleCount)};
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const double scale{lerpd(hdr.scaleBase, 1.0, (si+1) / double{BSincScaleCount})};
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const double cutoff{scale - (hdr.scaleBase * std::max(1.0, scale*2.0))};
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const auto a = static_cast<double>(hdr.a[si]);
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const double l{a - 1.0/BSincPhaseCount};
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/* Do one extra phase index so that the phase delta has a proper
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* target for its last index.
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*/
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for(uint pi{0};pi <= BSincPhaseCount;++pi)
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for(uint pi{0};pi < BSincPhaseCount;++pi)
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{
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const double phase{std::floor(l) + (pi/double{BSincPhaseCount})};
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for(uint i{0};i < m;++i)
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{
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const double x{i - phase};
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filter[si][pi][o+i] = Kaiser(hdr.beta, x/l, hdr.besseli_0_beta) * cutoff *
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filter[si][pi][o+i] = Kaiser(hdr.beta, x/l, besseli_0_beta) * cutoff *
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Sinc(cutoff*x);
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}
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}
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@@ -219,59 +208,82 @@ struct BSincFilterArray {
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/* Linear interpolation between phases is simplified by pre-
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* calculating the delta (b - a) in: x = a + f (b - a)
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*/
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for(size_t i{0};i < m;++i)
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if(pi < BSincPhaseCount-1)
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{
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const double phDelta{filter[si][pi+1][o+i] - filter[si][pi][o+i]};
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mTable[idx++] = static_cast<float>(phDelta);
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for(size_t i{0};i < m;++i)
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{
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const double phDelta{filter[si][pi+1][o+i] - filter[si][pi][o+i]};
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mTable[idx++] = static_cast<float>(phDelta);
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}
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}
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else
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{
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/* The delta target for the last phase index is the first
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* phase index with the coefficients offset by one. The
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* first delta targets 0, as it represents a coefficient
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* for a sample that won't be part of the filter.
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*/
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mTable[idx++] = static_cast<float>(0.0 - filter[si][pi][o]);
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for(size_t i{1};i < m;++i)
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{
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const double phDelta{filter[si][0][o+i-1] - filter[si][pi][o+i]};
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mTable[idx++] = static_cast<float>(phDelta);
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}
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}
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}
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/* Calculate and write out each phase index's filter quality scale
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* deltas. The last scale index doesn't have any scale or scale-
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* phase deltas.
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/* Now write out each phase index's scale and phase+scale deltas,
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* to complete the bilinear equation for the combination of phase
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* and scale.
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*/
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if(si == BSincScaleCount-1)
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if(si < BSincScaleCount-1)
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{
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for(size_t pi{0};pi < BSincPhaseCount;++pi)
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{
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for(size_t i{0};i < m;++i)
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{
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const double scDelta{filter[si+1][pi][o+i] - filter[si][pi][o+i]};
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mTable[idx++] = static_cast<float>(scDelta);
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}
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if(pi < BSincPhaseCount-1)
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{
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for(size_t i{0};i < m;++i)
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{
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const double spDelta{(filter[si+1][pi+1][o+i]-filter[si+1][pi][o+i]) -
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(filter[si][pi+1][o+i]-filter[si][pi][o+i])};
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mTable[idx++] = static_cast<float>(spDelta);
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}
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}
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else
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{
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mTable[idx++] = static_cast<float>((0.0 - filter[si+1][pi][o]) -
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(0.0 - filter[si][pi][o]));
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for(size_t i{1};i < m;++i)
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{
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const double spDelta{(filter[si+1][0][o+i-1] - filter[si+1][pi][o+i]) -
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(filter[si][0][o+i-1] - filter[si][pi][o+i])};
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mTable[idx++] = static_cast<float>(spDelta);
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}
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}
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}
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}
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else
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{
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/* The last scale index doesn't have scale-related deltas. */
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for(size_t i{0};i < BSincPhaseCount*m*2;++i)
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mTable[idx++] = 0.0f;
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}
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else for(size_t pi{0};pi < BSincPhaseCount;++pi)
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{
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/* Linear interpolation between scales is also simplified.
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*
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* Given a difference in the number of points between scales,
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* the destination points will be 0, thus: x = a + f (-a)
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*/
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for(size_t i{0};i < m;++i)
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{
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const double scDelta{filter[si+1][pi][o+i] - filter[si][pi][o+i]};
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mTable[idx++] = static_cast<float>(scDelta);
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}
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/* This last simplification is done to complete the bilinear
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* equation for the combination of phase and scale.
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*/
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for(size_t i{0};i < m;++i)
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{
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const double spDelta{(filter[si+1][pi+1][o+i] - filter[si+1][pi][o+i]) -
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(filter[si][pi+1][o+i] - filter[si][pi][o+i])};
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mTable[idx++] = static_cast<float>(spDelta);
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}
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}
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}
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assert(idx == hdr.total_size);
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}
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constexpr const BSincHeader &getHeader() const noexcept { return hdr; }
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constexpr const float *getTable() const noexcept { return &mTable.front(); }
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[[nodiscard]] constexpr auto getHeader() const noexcept -> const BSincHeader& { return hdr; }
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[[nodiscard]] constexpr auto getTable() const noexcept -> const float* { return mTable.data(); }
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};
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#if !defined(__clang__) && defined(__GNUC__) && __GNUC__ < 6
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const BSincFilterArray<bsinc12_hdr.total_size> bsinc12_filter{bsinc12_hdr};
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const BSincFilterArray<bsinc24_hdr.total_size> bsinc24_filter{bsinc24_hdr};
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#else
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const BSincFilterArray<bsinc12_hdr> bsinc12_filter{};
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const BSincFilterArray<bsinc24_hdr> bsinc24_filter{};
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#endif
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template<typename T>
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constexpr BSincTable GenerateBSincTable(const T &filter)
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@@ -279,7 +291,7 @@ constexpr BSincTable GenerateBSincTable(const T &filter)
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BSincTable ret{};
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const BSincHeader &hdr = filter.getHeader();
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ret.scaleBase = static_cast<float>(hdr.scaleBase);
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ret.scaleRange = static_cast<float>(1.0 / hdr.scaleRange);
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ret.scaleRange = static_cast<float>(1.0 / (1.0 - hdr.scaleBase));
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for(size_t i{0};i < BSincScaleCount;++i)
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ret.m[i] = ((hdr.a[i]*2) + 3) & ~3u;
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ret.filterOffset[0] = 0;
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@@ -291,5 +303,5 @@ constexpr BSincTable GenerateBSincTable(const T &filter)
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} // namespace
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const BSincTable bsinc12{GenerateBSincTable(bsinc12_filter)};
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const BSincTable bsinc24{GenerateBSincTable(bsinc24_filter)};
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const BSincTable gBSinc12{GenerateBSincTable(bsinc12_filter)};
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const BSincTable gBSinc24{GenerateBSincTable(bsinc24_filter)};
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