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Add credits/references for numerical approximation algorithms

dds
PaulStoffregen hace 10 años
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Se han modificado 1 ficheros con 6 adiciones y 0 borrados
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      filter_variable.cpp

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filter_variable.cpp Ver fichero

@@ -106,6 +106,8 @@ void AudioFilterStateVariable::update_variable(const int16_t *in,
control *= octavemult; // octavemult range: 0 to 28671 (12 frac bits)
n = control & 0x7FFFFFF; // 27 fractional control bits
#ifdef IMPROVE_EXPONENTIAL_ACCURACY
// exp2 polynomial suggested by Stefan Stenzel on "music-dsp"
// mail list, Wed, 3 Sep 2014 10:08:55 +0200
int32_t x = n << 3;
n = multiply_accumulate_32x32_rshift32_rounded(536870912, x, 1494202713);
int32_t sq = multiply_32x32_rshift32_rounded(x, x);
@@ -114,6 +116,8 @@ void AudioFilterStateVariable::update_variable(const int16_t *in,
multiply_32x32_rshift32_rounded(x, 1358044250)) << 1);
n = n << 1;
#else
// exp2 algorithm by Laurent de Soras
// http://www.musicdsp.org/showone.php?id=106
n = (n + 134217728) << 3;
n = multiply_32x32_rshift32_rounded(n, n);
n = multiply_32x32_rshift32_rounded(n, 715827883) << 3;
@@ -129,6 +133,8 @@ void AudioFilterStateVariable::update_variable(const int16_t *in,
// high frequencies, but the filter's corner frequency response
// can end up about 6% higher than requested.
#ifdef IMPROVE_HIGH_FREQUENCY_ACCURACY
// From "Fast Polynomial Approximations to Sine and Cosine"
// Charles K Garrett, http://krisgarrett.net/
fmult = (multiply_32x32_rshift32_rounded(fmult, 2145892402) +
multiply_32x32_rshift32_rounded(
multiply_32x32_rshift32_rounded(fmult, fmult),

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