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-rw-r--r--Alc/mixer.c104
-rw-r--r--ChangeLog2
-rw-r--r--alsoftrc.sample4
-rw-r--r--utils/alsoft-config/mainwindow.cpp6
4 files changed, 93 insertions, 23 deletions
diff --git a/Alc/mixer.c b/Alc/mixer.c
index 4917477a..e7a924bf 100644
--- a/Alc/mixer.c
+++ b/Alc/mixer.c
@@ -133,17 +133,87 @@ static inline ResamplerFunc SelectResampler(enum Resampler resampler)
return Resample_point32_C;
}
+
+/* The sinc resampler makes use of a Kaiser window to limit the needed sample
+ * points to 4 and 8, respectively.
+ */
+
#ifndef M_PI
#define M_PI (3.14159265358979323846)
#endif
-static float lanc(double r, double x)
+static inline double Sinc(double x)
{
- if(x == 0.0) return 1.0f;
- if(fabs(x) >= r) return 0.0f;
- return (float)(r*sin(x*M_PI)*sin(x*M_PI/r) /
- (M_PI*M_PI * x*x));
+ if(x == 0.0) return 1.0;
+ return sin(x*M_PI) / (x*M_PI);
}
+/* The zero-order modified Bessel function of the first kind, used for the
+ * Kaiser window.
+ *
+ * I_0(x) = sum_{k=0}^inf (1 / k!)^2 (x / 2)^(2 k)
+ * = sum_{k=0}^inf ((x / 2)^k / k!)^2
+ */
+static double BesselI_0(double x)
+{
+ double term, sum, x2, y, last_sum;
+ int k;
+
+ /* Start at k=1 since k=0 is trivial. */
+ term = 1.0;
+ sum = 1.0;
+ x2 = x / 2.0;
+ k = 1;
+
+ /* Let the integration converge until the term of the sum is no longer
+ * significant.
+ */
+ do {
+ y = x2 / k;
+ k ++;
+ last_sum = sum;
+ term *= y * y;
+ sum += term;
+ } while(sum != last_sum);
+ return sum;
+}
+
+/* Calculate a Kaiser window from the given beta value and a normalized k
+ * [-1, 1].
+ *
+ * w(k) = { I_0(B sqrt(1 - k^2)) / I_0(B), -1 <= k <= 1
+ * { 0, elsewhere.
+ *
+ * Where k can be calculated as:
+ *
+ * k = i / l, where -l <= i <= l.
+ *
+ * or:
+ *
+ * k = 2 i / M - 1, where 0 <= i <= M.
+ */
+static inline double Kaiser(double b, double k)
+{
+ if(k <= -1.0 || k >= 1.0) return 0.0;
+ return BesselI_0(b * sqrt(1.0 - (k*k))) / BesselI_0(b);
+}
+
+static inline double CalcKaiserBeta(double rejection)
+{
+ if(rejection > 50.0)
+ return 0.1102 * (rejection - 8.7);
+ if(rejection >= 21.0)
+ return (0.5842 * pow(rejection - 21.0, 0.4)) +
+ (0.07886 * (rejection - 21.0));
+ return 0.0;
+}
+
+static float SincKaiser(double r, double x)
+{
+ /* Limit rippling to -90dB. */
+ return Kaiser(CalcKaiserBeta(90.0), x / r) * Sinc(x);
+}
+
+
void aluInitMixer(void)
{
enum Resampler resampler = ResamplerDefault;
@@ -180,23 +250,23 @@ void aluInitMixer(void)
for(i = 0;i < FRACTIONONE;i++)
{
ALdouble mu = (ALdouble)i / FRACTIONONE;
- ResampleCoeffs.FIR8[i][0] = lanc(4.0, mu - -3.0);
- ResampleCoeffs.FIR8[i][1] = lanc(4.0, mu - -2.0);
- ResampleCoeffs.FIR8[i][2] = lanc(4.0, mu - -1.0);
- ResampleCoeffs.FIR8[i][3] = lanc(4.0, mu - 0.0);
- ResampleCoeffs.FIR8[i][4] = lanc(4.0, mu - 1.0);
- ResampleCoeffs.FIR8[i][5] = lanc(4.0, mu - 2.0);
- ResampleCoeffs.FIR8[i][6] = lanc(4.0, mu - 3.0);
- ResampleCoeffs.FIR8[i][7] = lanc(4.0, mu - 4.0);
+ ResampleCoeffs.FIR8[i][0] = SincKaiser(4.0, mu - -3.0);
+ ResampleCoeffs.FIR8[i][1] = SincKaiser(4.0, mu - -2.0);
+ ResampleCoeffs.FIR8[i][2] = SincKaiser(4.0, mu - -1.0);
+ ResampleCoeffs.FIR8[i][3] = SincKaiser(4.0, mu - 0.0);
+ ResampleCoeffs.FIR8[i][4] = SincKaiser(4.0, mu - 1.0);
+ ResampleCoeffs.FIR8[i][5] = SincKaiser(4.0, mu - 2.0);
+ ResampleCoeffs.FIR8[i][6] = SincKaiser(4.0, mu - 3.0);
+ ResampleCoeffs.FIR8[i][7] = SincKaiser(4.0, mu - 4.0);
}
else if(resampler == FIR4Resampler)
for(i = 0;i < FRACTIONONE;i++)
{
ALdouble mu = (ALdouble)i / FRACTIONONE;
- ResampleCoeffs.FIR4[i][0] = lanc(2.0, mu - -1.0);
- ResampleCoeffs.FIR4[i][1] = lanc(2.0, mu - 0.0);
- ResampleCoeffs.FIR4[i][2] = lanc(2.0, mu - 1.0);
- ResampleCoeffs.FIR4[i][3] = lanc(2.0, mu - 2.0);
+ ResampleCoeffs.FIR4[i][0] = SincKaiser(2.0, mu - -1.0);
+ ResampleCoeffs.FIR4[i][1] = SincKaiser(2.0, mu - 0.0);
+ ResampleCoeffs.FIR4[i][2] = SincKaiser(2.0, mu - 1.0);
+ ResampleCoeffs.FIR4[i][3] = SincKaiser(2.0, mu - 2.0);
}
MixHrtfSamples = SelectHrtfMixer();
diff --git a/ChangeLog b/ChangeLog
index 40ff34ed..e0fdd4cd 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -6,7 +6,7 @@ openal-soft-1.17.0:
Implemented the ALC_SOFT_HRTF extension.
- Implemented C, SSE3, and SSE4.1 based 4- and 8-point Sinc-Lanczos resamplers.
+ Implemented C, SSE3, and SSE4.1 based 4- and 8-point Sinc resamplers.
Implemented B-Format output support for the wave file writer. This creates
FuMa-style first-order Ambisonics wave files (AMB format).
diff --git a/alsoftrc.sample b/alsoftrc.sample
index 84e57f4c..70bfbcf2 100644
--- a/alsoftrc.sample
+++ b/alsoftrc.sample
@@ -129,8 +129,8 @@
# Selects the resampler used when mixing sources. Valid values are:
# point - nearest sample, no interpolation
# linear - extrapolates samples using a linear slope between samples
-# sinc4 - extrapolates samples using a 4-point Sinc-Lanczos filter
-# sinc8 - extrapolates samples using an 8-point Sinc-Lanczos filter
+# sinc4 - extrapolates samples using a 4-point Sinc filter
+# sinc8 - extrapolates samples using an 8-point Sinc filter
# Specifying other values will result in using the default (linear).
#resampler = linear
diff --git a/utils/alsoft-config/mainwindow.cpp b/utils/alsoft-config/mainwindow.cpp
index dff8b930..75703f03 100644
--- a/utils/alsoft-config/mainwindow.cpp
+++ b/utils/alsoft-config/mainwindow.cpp
@@ -89,8 +89,8 @@ static const struct {
{ "Default", "" },
{ "Point (low quality, fast)", "point" },
{ "Linear (basic quality, fast)", "linear" },
- { "Sinc-Lanczos 4pt (good quality)", "sinc4" },
- { "Sinc-Lanczos 8pt (high quality, slow)", "sinc8" },
+ { "4-Point Sinc (good quality)", "sinc4" },
+ { "8-Point Sinc (high quality, slow)", "sinc8" },
{ "", "" }
}, stereoModeList[] = {
@@ -355,7 +355,7 @@ void MainWindow::loadConfig(const QString &fname)
if(resampler.isEmpty() == false)
{
/* The "cubic" resampler is no longer supported. It's been replaced by
- * "sinc4" (4-point Sinc-Lanczos). */
+ * "sinc4". */
if(resampler == "cubic")
resampler = "sinc4";