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/*
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* GStreamer
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* Copyright (C) 2007-2009 Sebastian Dröge <sebastian.droege@collabora.co.uk>
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*
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* This library is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Library General Public
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* License as published by the Free Software Foundation; either
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* version 2 of the License, or (at your option) any later version.
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*
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* This library is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Library General Public License for more details.
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*
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* You should have received a copy of the GNU Library General Public
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* License along with this library; if not, write to the
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* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
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* Boston, MA 02111-1307, USA.
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*/
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/*
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* Chebyshev type 1 filter design based on
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* "The Scientist and Engineer's Guide to DSP", Chapter 20.
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* http://www.dspguide.com/
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*
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* For type 2 and Chebyshev filters in general read
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* http://en.wikipedia.org/wiki/Chebyshev_filter
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*
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*/
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/**
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* SECTION:element-audiocheblimit
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*
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* Attenuates all frequencies above the cutoff frequency (low-pass) or all frequencies below the
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* cutoff frequency (high-pass). The number of poles and the ripple parameter control the rolloff.
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*
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* This element has the advantage over the windowed sinc lowpass and highpass filter that it is
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* much faster and produces almost as good results. It's only disadvantages are the highly
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* non-linear phase and the slower rolloff compared to a windowed sinc filter with a large kernel.
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*
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* For type 1 the ripple parameter specifies how much ripple in dB is allowed in the passband, i.e.
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* some frequencies in the passband will be amplified by that value. A higher ripple value will allow
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* a faster rolloff.
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*
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* For type 2 the ripple parameter specifies the stopband attenuation. In the stopband the gain will
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* be at most this value. A lower ripple value will allow a faster rolloff.
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*
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* As a special case, a Chebyshev type 1 filter with no ripple is a Butterworth filter.
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* </para>
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* <note><para>
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* Be warned that a too large number of poles can produce noise. The most poles are possible with
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* a cutoff frequency at a quarter of the sampling rate.
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* </para></note>
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* <para>
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* <refsect2>
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* <title>Example launch line</title>
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* |[
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* gst-launch audiotestsrc freq=1500 ! audioconvert ! audiocheblimit mode=low-pass cutoff=1000 poles=4 ! audioconvert ! alsasink
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* gst-launch filesrc location="melo1.ogg" ! oggdemux ! vorbisdec ! audioconvert ! audiocheblimit mode=high-pass cutoff=400 ripple=0.2 ! audioconvert ! alsasink
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* gst-launch audiotestsrc wave=white-noise ! audioconvert ! audiocheblimit mode=low-pass cutoff=800 type=2 ! audioconvert ! alsasink
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* ]|
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* </refsect2>
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*/
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#ifdef HAVE_CONFIG_H
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#include "config.h"
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#endif
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#include <gst/gst.h>
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#include <gst/base/gstbasetransform.h>
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#include <gst/audio/audio.h>
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#include <gst/audio/gstaudiofilter.h>
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#include <gst/controller/gstcontroller.h>
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#include <math.h>
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#include "math_compat.h"
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#include "audiocheblimit.h"
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#define GST_CAT_DEFAULT gst_audio_cheb_limit_debug
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GST_DEBUG_CATEGORY_STATIC (GST_CAT_DEFAULT);
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enum
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{
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PROP_0,
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PROP_MODE,
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PROP_TYPE,
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PROP_CUTOFF,
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PROP_RIPPLE,
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PROP_POLES
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};
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#define DEBUG_INIT(bla) \
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GST_DEBUG_CATEGORY_INIT (gst_audio_cheb_limit_debug, "audiocheblimit", 0, "audiocheblimit element");
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GST_BOILERPLATE_FULL (GstAudioChebLimit,
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gst_audio_cheb_limit, GstAudioFXBaseIIRFilter,
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GST_TYPE_AUDIO_FX_BASE_IIR_FILTER, DEBUG_INIT);
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static void gst_audio_cheb_limit_set_property (GObject * object,
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guint prop_id, const GValue * value, GParamSpec * pspec);
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static void gst_audio_cheb_limit_get_property (GObject * object,
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guint prop_id, GValue * value, GParamSpec * pspec);
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static void gst_audio_cheb_limit_finalize (GObject * object);
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static gboolean gst_audio_cheb_limit_setup (GstAudioFilter * filter,
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GstRingBufferSpec * format);
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enum
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{
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MODE_LOW_PASS = 0,
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MODE_HIGH_PASS
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};
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#define GST_TYPE_AUDIO_CHEBYSHEV_FREQ_LIMIT_MODE (gst_audio_cheb_limit_mode_get_type ())
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static GType
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gst_audio_cheb_limit_mode_get_type (void)
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{
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static GType gtype = 0;
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if (gtype == 0) {
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static const GEnumValue values[] = {
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{MODE_LOW_PASS, "Low pass (default)",
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"low-pass"},
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{MODE_HIGH_PASS, "High pass",
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"high-pass"},
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{0, NULL, NULL}
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};
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gtype = g_enum_register_static ("GstAudioChebLimitMode", values);
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}
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return gtype;
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}
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/* GObject vmethod implementations */
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static void
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gst_audio_cheb_limit_base_init (gpointer klass)
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{
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GstElementClass *element_class = GST_ELEMENT_CLASS (klass);
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gst_element_class_set_details_simple (element_class,
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"Low pass & high pass filter",
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"Filter/Effect/Audio",
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"Chebyshev low pass and high pass filter",
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"Sebastian Dröge <sebastian.droege@collabora.co.uk>");
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}
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static void
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gst_audio_cheb_limit_class_init (GstAudioChebLimitClass * klass)
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{
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GObjectClass *gobject_class = (GObjectClass *) klass;
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GstAudioFilterClass *filter_class = (GstAudioFilterClass *) klass;
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gobject_class->set_property = gst_audio_cheb_limit_set_property;
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gobject_class->get_property = gst_audio_cheb_limit_get_property;
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gobject_class->finalize = gst_audio_cheb_limit_finalize;
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g_object_class_install_property (gobject_class, PROP_MODE,
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g_param_spec_enum ("mode", "Mode",
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"Low pass or high pass mode",
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GST_TYPE_AUDIO_CHEBYSHEV_FREQ_LIMIT_MODE, MODE_LOW_PASS,
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G_PARAM_READWRITE | GST_PARAM_CONTROLLABLE | G_PARAM_STATIC_STRINGS));
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g_object_class_install_property (gobject_class, PROP_TYPE,
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g_param_spec_int ("type", "Type", "Type of the chebychev filter", 1, 2, 1,
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G_PARAM_READWRITE | GST_PARAM_CONTROLLABLE | G_PARAM_STATIC_STRINGS));
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/* FIXME: Don't use the complete possible range but restrict the upper boundary
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* so automatically generated UIs can use a slider without */
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g_object_class_install_property (gobject_class, PROP_CUTOFF,
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g_param_spec_float ("cutoff", "Cutoff", "Cut off frequency (Hz)", 0.0,
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100000.0, 0.0,
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G_PARAM_READWRITE | GST_PARAM_CONTROLLABLE | G_PARAM_STATIC_STRINGS));
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g_object_class_install_property (gobject_class, PROP_RIPPLE,
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g_param_spec_float ("ripple", "Ripple", "Amount of ripple (dB)", 0.0,
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200.0, 0.25,
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G_PARAM_READWRITE | GST_PARAM_CONTROLLABLE | G_PARAM_STATIC_STRINGS));
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/* FIXME: What to do about this upper boundary? With a cutoff frequency of
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* rate/4 32 poles are completely possible, with a cutoff frequency very low
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* or very high 16 poles already produces only noise */
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g_object_class_install_property (gobject_class, PROP_POLES,
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g_param_spec_int ("poles", "Poles",
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"Number of poles to use, will be rounded up to the next even number",
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2, 32, 4,
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G_PARAM_READWRITE | GST_PARAM_CONTROLLABLE | G_PARAM_STATIC_STRINGS));
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filter_class->setup = GST_DEBUG_FUNCPTR (gst_audio_cheb_limit_setup);
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}
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static void
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gst_audio_cheb_limit_init (GstAudioChebLimit * filter,
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GstAudioChebLimitClass * klass)
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{
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filter->cutoff = 0.0;
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filter->mode = MODE_LOW_PASS;
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filter->type = 1;
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filter->poles = 4;
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filter->ripple = 0.25;
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filter->lock = g_mutex_new ();
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}
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static void
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generate_biquad_coefficients (GstAudioChebLimit * filter,
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gint p, gdouble * a0, gdouble * a1, gdouble * a2,
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gdouble * b1, gdouble * b2)
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{
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gint np = filter->poles;
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gdouble ripple = filter->ripple;
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/* pole location in s-plane */
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gdouble rp, ip;
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/* zero location in s-plane */
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gdouble iz = 0.0;
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/* transfer function coefficients for the z-plane */
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gdouble x0, x1, x2, y1, y2;
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gint type = filter->type;
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/* Calculate pole location for lowpass at frequency 1 */
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{
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gdouble angle = (M_PI / 2.0) * (2.0 * p - 1) / np;
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rp = -sin (angle);
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ip = cos (angle);
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}
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/* If we allow ripple, move the pole from the unit
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* circle to an ellipse and keep cutoff at frequency 1 */
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if (ripple > 0 && type == 1) {
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gdouble es, vx;
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es = sqrt (pow (10.0, ripple / 10.0) - 1.0);
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vx = (1.0 / np) * asinh (1.0 / es);
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rp = rp * sinh (vx);
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ip = ip * cosh (vx);
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} else if (type == 2) {
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gdouble es, vx;
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es = sqrt (pow (10.0, ripple / 10.0) - 1.0);
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vx = (1.0 / np) * asinh (es);
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rp = rp * sinh (vx);
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ip = ip * cosh (vx);
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}
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/* Calculate inverse of the pole location to convert from
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* type I to type II */
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if (type == 2) {
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gdouble mag2 = rp * rp + ip * ip;
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rp /= mag2;
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ip /= mag2;
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}
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/* Calculate zero location for frequency 1 on the
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* unit circle for type 2 */
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if (type == 2) {
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gdouble angle = M_PI / (np * 2.0) + ((p - 1) * M_PI) / (np);
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gdouble mag2;
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iz = cos (angle);
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mag2 = iz * iz;
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iz /= mag2;
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}
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/* Convert from s-domain to z-domain by
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* using the bilinear Z-transform, i.e.
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* substitute s by (2/t)*((z-1)/(z+1))
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* with t = 2 * tan(0.5).
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*/
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if (type == 1) {
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gdouble t, m, d;
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t = 2.0 * tan (0.5);
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m = rp * rp + ip * ip;
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d = 4.0 - 4.0 * rp * t + m * t * t;
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x0 = (t * t) / d;
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x1 = 2.0 * x0;
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x2 = x0;
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y1 = (8.0 - 2.0 * m * t * t) / d;
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y2 = (-4.0 - 4.0 * rp * t - m * t * t) / d;
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} else {
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gdouble t, m, d;
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t = 2.0 * tan (0.5);
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m = rp * rp + ip * ip;
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d = 4.0 - 4.0 * rp * t + m * t * t;
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x0 = (t * t * iz * iz + 4.0) / d;
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x1 = (-8.0 + 2.0 * iz * iz * t * t) / d;
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x2 = x0;
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y1 = (8.0 - 2.0 * m * t * t) / d;
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y2 = (-4.0 - 4.0 * rp * t - m * t * t) / d;
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}
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/* Convert from lowpass at frequency 1 to either lowpass
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* or highpass.
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*
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* For lowpass substitute z^(-1) with:
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* -1
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* z - k
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* ------------
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* -1
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* 1 - k * z
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*
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* k = sin((1-w)/2) / sin((1+w)/2)
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*
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* For highpass substitute z^(-1) with:
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*
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* -1
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* -z - k
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* ------------
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* -1
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* 1 + k * z
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*
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* k = -cos((1+w)/2) / cos((1-w)/2)
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*
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*/
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{
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gdouble k, d;
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gdouble omega =
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2.0 * M_PI * (filter->cutoff / GST_AUDIO_FILTER (filter)->format.rate);
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if (filter->mode == MODE_LOW_PASS)
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k = sin ((1.0 - omega) / 2.0) / sin ((1.0 + omega) / 2.0);
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else
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k = -cos ((omega + 1.0) / 2.0) / cos ((omega - 1.0) / 2.0);
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d = 1.0 + y1 * k - y2 * k * k;
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*a0 = (x0 + k * (-x1 + k * x2)) / d;
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*a1 = (x1 + k * k * x1 - 2.0 * k * (x0 + x2)) / d;
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*a2 = (x0 * k * k - x1 * k + x2) / d;
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*b1 = (2.0 * k + y1 + y1 * k * k - 2.0 * y2 * k) / d;
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*b2 = (-k * k - y1 * k + y2) / d;
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if (filter->mode == MODE_HIGH_PASS) {
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*a1 = -*a1;
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*b1 = -*b1;
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}
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}
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}
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static void
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generate_coefficients (GstAudioChebLimit * filter)
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{
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if (GST_AUDIO_FILTER (filter)->format.rate == 0) {
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gdouble *a = g_new0 (gdouble, 1);
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a[0] = 1.0;
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gst_audio_fx_base_iir_filter_set_coefficients (GST_AUDIO_FX_BASE_IIR_FILTER
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(filter), a, 1, NULL, 0);
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GST_LOG_OBJECT (filter, "rate was not set yet");
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return;
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}
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if (filter->cutoff >= GST_AUDIO_FILTER (filter)->format.rate / 2.0) {
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gdouble *a = g_new0 (gdouble, 1);
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a[0] = (filter->mode == MODE_LOW_PASS) ? 1.0 : 0.0;
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gst_audio_fx_base_iir_filter_set_coefficients (GST_AUDIO_FX_BASE_IIR_FILTER
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(filter), a, 1, NULL, 0);
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GST_LOG_OBJECT (filter, "cutoff was higher than nyquist frequency");
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return;
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} else if (filter->cutoff <= 0.0) {
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gdouble *a = g_new0 (gdouble, 1);
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a[0] = (filter->mode == MODE_LOW_PASS) ? 0.0 : 1.0;
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gst_audio_fx_base_iir_filter_set_coefficients (GST_AUDIO_FX_BASE_IIR_FILTER
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(filter), a, 1, NULL, 0);
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376 |
GST_LOG_OBJECT (filter, "cutoff is lower than zero");
|
|
377 |
return;
|
|
378 |
}
|
|
379 |
|
|
380 |
/* Calculate coefficients for the chebyshev filter */
|
|
381 |
{
|
|
382 |
gint np = filter->poles;
|
|
383 |
gdouble *a, *b;
|
|
384 |
gint i, p;
|
|
385 |
|
|
386 |
a = g_new0 (gdouble, np + 3);
|
|
387 |
b = g_new0 (gdouble, np + 3);
|
|
388 |
|
|
389 |
/* Calculate transfer function coefficients */
|
|
390 |
a[2] = 1.0;
|
|
391 |
b[2] = 1.0;
|
|
392 |
|
|
393 |
for (p = 1; p <= np / 2; p++) {
|
|
394 |
gdouble a0, a1, a2, b1, b2;
|
|
395 |
gdouble *ta = g_new0 (gdouble, np + 3);
|
|
396 |
gdouble *tb = g_new0 (gdouble, np + 3);
|
|
397 |
|
|
398 |
generate_biquad_coefficients (filter, p, &a0, &a1, &a2, &b1, &b2);
|
|
399 |
|
|
400 |
memcpy (ta, a, sizeof (gdouble) * (np + 3));
|
|
401 |
memcpy (tb, b, sizeof (gdouble) * (np + 3));
|
|
402 |
|
|
403 |
/* add the new coefficients for the new two poles
|
|
404 |
* to the cascade by multiplication of the transfer
|
|
405 |
* functions */
|
|
406 |
for (i = 2; i < np + 3; i++) {
|
|
407 |
a[i] = a0 * ta[i] + a1 * ta[i - 1] + a2 * ta[i - 2];
|
|
408 |
b[i] = tb[i] - b1 * tb[i - 1] - b2 * tb[i - 2];
|
|
409 |
}
|
|
410 |
g_free (ta);
|
|
411 |
g_free (tb);
|
|
412 |
}
|
|
413 |
|
|
414 |
/* Move coefficients to the beginning of the array
|
|
415 |
* and multiply the b coefficients with -1 to move from
|
|
416 |
* the transfer function's coefficients to the difference
|
|
417 |
* equation's coefficients */
|
|
418 |
b[2] = 0.0;
|
|
419 |
for (i = 0; i <= np; i++) {
|
|
420 |
a[i] = a[i + 2];
|
|
421 |
b[i] = -b[i + 2];
|
|
422 |
}
|
|
423 |
|
|
424 |
/* Normalize to unity gain at frequency 0 for lowpass
|
|
425 |
* and frequency 0.5 for highpass */
|
|
426 |
{
|
|
427 |
gdouble gain;
|
|
428 |
|
|
429 |
if (filter->mode == MODE_LOW_PASS)
|
|
430 |
gain =
|
|
431 |
gst_audio_fx_base_iir_filter_calculate_gain (a, np + 1, b, np + 1,
|
|
432 |
1.0, 0.0);
|
|
433 |
else
|
|
434 |
gain =
|
|
435 |
gst_audio_fx_base_iir_filter_calculate_gain (a, np + 1, b, np + 1,
|
|
436 |
-1.0, 0.0);
|
|
437 |
|
|
438 |
for (i = 0; i <= np; i++) {
|
|
439 |
a[i] /= gain;
|
|
440 |
}
|
|
441 |
}
|
|
442 |
|
|
443 |
gst_audio_fx_base_iir_filter_set_coefficients (GST_AUDIO_FX_BASE_IIR_FILTER
|
|
444 |
(filter), a, np + 1, b, np + 1);
|
|
445 |
|
|
446 |
GST_LOG_OBJECT (filter,
|
|
447 |
"Generated IIR coefficients for the Chebyshev filter");
|
|
448 |
GST_LOG_OBJECT (filter,
|
|
449 |
"mode: %s, type: %d, poles: %d, cutoff: %.2f Hz, ripple: %.2f dB",
|
|
450 |
(filter->mode == MODE_LOW_PASS) ? "low-pass" : "high-pass",
|
|
451 |
filter->type, filter->poles, filter->cutoff, filter->ripple);
|
|
452 |
GST_LOG_OBJECT (filter, "%.2f dB gain @ 0 Hz",
|
|
453 |
20.0 * log10 (gst_audio_fx_base_iir_filter_calculate_gain (a, np + 1, b,
|
|
454 |
np + 1, 1.0, 0.0)));
|
|
455 |
|
|
456 |
#ifndef GST_DISABLE_GST_DEBUG
|
|
457 |
{
|
|
458 |
gdouble wc =
|
|
459 |
2.0 * M_PI * (filter->cutoff /
|
|
460 |
GST_AUDIO_FILTER (filter)->format.rate);
|
|
461 |
gdouble zr = cos (wc), zi = sin (wc);
|
|
462 |
|
|
463 |
GST_LOG_OBJECT (filter, "%.2f dB gain @ %d Hz",
|
|
464 |
20.0 * log10 (gst_audio_fx_base_iir_filter_calculate_gain (a, np + 1,
|
|
465 |
b, np + 1, zr, zi)), (int) filter->cutoff);
|
|
466 |
}
|
|
467 |
#endif
|
|
468 |
|
|
469 |
GST_LOG_OBJECT (filter, "%.2f dB gain @ %d Hz",
|
|
470 |
20.0 * log10 (gst_audio_fx_base_iir_filter_calculate_gain (a, np + 1, b,
|
|
471 |
np + 1, -1.0, 0.0)),
|
|
472 |
GST_AUDIO_FILTER (filter)->format.rate / 2);
|
|
473 |
}
|
|
474 |
}
|
|
475 |
|
|
476 |
static void
|
|
477 |
gst_audio_cheb_limit_finalize (GObject * object)
|
|
478 |
{
|
|
479 |
GstAudioChebLimit *filter = GST_AUDIO_CHEB_LIMIT (object);
|
|
480 |
|
|
481 |
g_mutex_free (filter->lock);
|
|
482 |
filter->lock = NULL;
|
|
483 |
|
|
484 |
G_OBJECT_CLASS (parent_class)->finalize (object);
|
|
485 |
}
|
|
486 |
|
|
487 |
static void
|
|
488 |
gst_audio_cheb_limit_set_property (GObject * object, guint prop_id,
|
|
489 |
const GValue * value, GParamSpec * pspec)
|
|
490 |
{
|
|
491 |
GstAudioChebLimit *filter = GST_AUDIO_CHEB_LIMIT (object);
|
|
492 |
|
|
493 |
switch (prop_id) {
|
|
494 |
case PROP_MODE:
|
|
495 |
g_mutex_lock (filter->lock);
|
|
496 |
filter->mode = g_value_get_enum (value);
|
|
497 |
generate_coefficients (filter);
|
|
498 |
g_mutex_unlock (filter->lock);
|
|
499 |
break;
|
|
500 |
case PROP_TYPE:
|
|
501 |
g_mutex_lock (filter->lock);
|
|
502 |
filter->type = g_value_get_int (value);
|
|
503 |
generate_coefficients (filter);
|
|
504 |
g_mutex_unlock (filter->lock);
|
|
505 |
break;
|
|
506 |
case PROP_CUTOFF:
|
|
507 |
g_mutex_lock (filter->lock);
|
|
508 |
filter->cutoff = g_value_get_float (value);
|
|
509 |
generate_coefficients (filter);
|
|
510 |
g_mutex_unlock (filter->lock);
|
|
511 |
break;
|
|
512 |
case PROP_RIPPLE:
|
|
513 |
g_mutex_lock (filter->lock);
|
|
514 |
filter->ripple = g_value_get_float (value);
|
|
515 |
generate_coefficients (filter);
|
|
516 |
g_mutex_unlock (filter->lock);
|
|
517 |
break;
|
|
518 |
case PROP_POLES:
|
|
519 |
g_mutex_lock (filter->lock);
|
|
520 |
filter->poles = GST_ROUND_UP_2 (g_value_get_int (value));
|
|
521 |
generate_coefficients (filter);
|
|
522 |
g_mutex_unlock (filter->lock);
|
|
523 |
break;
|
|
524 |
default:
|
|
525 |
G_OBJECT_WARN_INVALID_PROPERTY_ID (object, prop_id, pspec);
|
|
526 |
break;
|
|
527 |
}
|
|
528 |
}
|
|
529 |
|
|
530 |
static void
|
|
531 |
gst_audio_cheb_limit_get_property (GObject * object, guint prop_id,
|
|
532 |
GValue * value, GParamSpec * pspec)
|
|
533 |
{
|
|
534 |
GstAudioChebLimit *filter = GST_AUDIO_CHEB_LIMIT (object);
|
|
535 |
|
|
536 |
switch (prop_id) {
|
|
537 |
case PROP_MODE:
|
|
538 |
g_value_set_enum (value, filter->mode);
|
|
539 |
break;
|
|
540 |
case PROP_TYPE:
|
|
541 |
g_value_set_int (value, filter->type);
|
|
542 |
break;
|
|
543 |
case PROP_CUTOFF:
|
|
544 |
g_value_set_float (value, filter->cutoff);
|
|
545 |
break;
|
|
546 |
case PROP_RIPPLE:
|
|
547 |
g_value_set_float (value, filter->ripple);
|
|
548 |
break;
|
|
549 |
case PROP_POLES:
|
|
550 |
g_value_set_int (value, filter->poles);
|
|
551 |
break;
|
|
552 |
default:
|
|
553 |
G_OBJECT_WARN_INVALID_PROPERTY_ID (object, prop_id, pspec);
|
|
554 |
break;
|
|
555 |
}
|
|
556 |
}
|
|
557 |
|
|
558 |
/* GstAudioFilter vmethod implementations */
|
|
559 |
|
|
560 |
static gboolean
|
|
561 |
gst_audio_cheb_limit_setup (GstAudioFilter * base, GstRingBufferSpec * format)
|
|
562 |
{
|
|
563 |
GstAudioChebLimit *filter = GST_AUDIO_CHEB_LIMIT (base);
|
|
564 |
|
|
565 |
generate_coefficients (filter);
|
|
566 |
|
|
567 |
return GST_AUDIO_FILTER_CLASS (parent_class)->setup (base, format);
|
|
568 |
}
|