avfilter/af_aiir: improve response calculation with zp coefficients
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@ -824,9 +824,14 @@ static void draw_line(AVFrame *out, int x0, int y0, int x1, int y1, uint32_t col
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}
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}
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static double distance(double x0, double x1, double y0, double y1)
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{
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return hypot(x0 - x1, y0 - y1);
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}
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static void get_response(int channel, int format, double w,
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const double *b, const double *a,
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int nb_b, int nb_a, double *r, double *i)
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int nb_b, int nb_a, double *magnitude, double *phase)
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{
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double realz, realp;
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double imagz, imagp;
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@ -849,39 +854,26 @@ static void get_response(int channel, int format, double w,
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div = realp * realp + imagp * imagp;
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real = (realz * realp + imagz * imagp) / div;
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imag = (imagz * realp - imagp * realz) / div;
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*magnitude = hypot(real, imag);
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*phase = atan2(imag, real);
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} else {
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real = 1;
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imag = 0;
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double p = 1., z = 1.;
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double acc = 0.;
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for (int x = 0; x < nb_a; x++) {
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double ore, oim, re, im;
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re = cos(w) - a[2 * x];
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im = sin(w) - a[2 * x + 1];
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ore = real;
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oim = imag;
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real = ore * re - oim * im;
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imag = ore * im + oim * re;
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z *= distance(cos(w), a[2 * x], sin(w), a[2 * x + 1]);
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acc += atan2(sin(w) - a[2 * x + 1], cos(w) - a[2 * x]);
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}
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for (int x = 0; x < nb_b; x++) {
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double ore, oim, re, im;
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re = cos(w) - b[2 * x];
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im = sin(w) - b[2 * x + 1];
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ore = real;
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oim = imag;
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div = re * re + im * im;
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real = (ore * re + oim * im) / div;
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imag = (oim * re - ore * im) / div;
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p *= distance(cos(w), b[2 * x], sin(w), b[2 * x + 1]);
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acc -= atan2(sin(w) - b[2 * x + 1], cos(w) - b[2 * x]);
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}
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}
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*r = real;
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*i = imag;
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*magnitude = z / p;
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*phase = acc;
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}
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}
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static void draw_response(AVFilterContext *ctx, AVFrame *out, int sample_rate)
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@ -909,12 +901,12 @@ static void draw_response(AVFilterContext *ctx, AVFrame *out, int sample_rate)
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const int nb_b = s->iir[ch].nb_ab[0];
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const int nb_a = s->iir[ch].nb_ab[1];
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double w = i * M_PI / (s->w - 1);
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double real, imag;
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double m, p;
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get_response(ch, s->format, w, b, a, nb_b, nb_a, &real, &imag);
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get_response(ch, s->format, w, b, a, nb_b, nb_a, &m, &p);
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mag[i] = s->iir[ch].g * hypot(real, imag);
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phase[i] = atan2(imag, real);
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mag[i] = s->iir[ch].g * m;
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phase[i] = p;
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min = fmin(min, mag[i]);
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max = fmax(max, mag[i]);
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}
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