├── .gitignore
├── README.md
├── icon.png
├── package-info.json
├── patchers
    ├── controls_view.maxpat
    ├── fc.allpass.gendsp
    ├── fc.bell.gendsp
    ├── fc.comb.gendsp
    ├── fc.diode.gendsp
    ├── fc.hishelf.gendsp
    ├── fc.k35hp.gendsp
    ├── fc.k35lp.gendsp
    ├── fc.ladder.gendsp
    ├── fc.loshelf.gendsp
    ├── fc.onepole.gendsp
    ├── fc.reson.gendsp
    ├── fc.svf-as.gendsp
    ├── fc.svf-eg.gendsp
    ├── fc.zdf-onepole.gendsp
    ├── fc.zdf-svf.gendsp
    └── filter-collection.maxpat
└── src
    └── filters.genexpr


/.gitignore:
--------------------------------------------------------------------------------
1 | .DS_Store
2 | 


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/README.md:
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 1 | # Gen Filters
 2 | A collection of audio filters ported to gen~ in Max 8
 3 | 
 4 | Move or copy the folder *gen-filters*, including all of its content, into your *Documents/Max 8/Packages* folder, and restart Max. This is necessary so that the various fc.* abstractions are available to all gen~ patchers.
 5 | 
 6 | ---
 7 | 
 8 | ### Filter types
 9 | * One-pole (highpass, lowpass)
10 | * Variable delay allpass
11 | * Feedback/forward comb
12 | * Reson
13 | * ZDF one-pole (highpass, lowpass)
14 | * ZDF two-pole (highpass, lowpass, bandpass, notch, peak, allpass)
15 | * ZDF Korg 35 (lowpass)
16 | * ZDF Korg 35 (highpass)
17 | * ZDF ladder (lowpass)
18 | * ZDF diode (lowpass)
19 | * Émilie Gillet SVF (lowpass, highpass, bandpass)
20 | * Andrew Simper SVF (highpass, lowpass, bandpass, notch, peak, allpass)
21 | * Bell EQ
22 | * High shelf EQ
23 | * Low shelf EQ


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/icon.png:
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https://raw.githubusercontent.com/ess-m/gen-filters/6f90e22300f56d0297c699874d363a59b5f102ec/icon.png


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/package-info.json:
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 1 | {
 2 | 	"author" : "Ess",
 3 | 	"description" : "A collection of audio filters in Gen~",
 4 | 	"displayname" : "",
 5 | 	"extends" : "",
 6 | 	"extensible" : 1,
 7 | 	"homepatcher" : "filter-collection.maxpat",
 8 | 	"name" : "gen-filters",
 9 | 	"os" : 	{
10 | 		"macintosh" : 		{
11 | 			"platform" : [ "ia32", "x64" ],
12 | 			"min_version" : "none"
13 | 		},
14 | 		"windows" : 		{
15 | 			"platform" : [ "ia32", "x64" ],
16 | 			"min_version" : "none"
17 | 		}
18 | 	},
19 | 	"package_extra" : 	{},
20 | 	"readme": "README.md",
21 | 	"tags" : [ "Gen~", "DSP", "Filter" ],
22 | 	"version" : "1.0.0",
23 | 	"website" : "http://mtsn.se"
24 | }
25 | 


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3802 |  ]
3803 | 	}
3804 | 
3805 | }
3806 | 


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132 |  ]
133 | 	}
134 | 
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136 | 


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 88 | , 			{
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 90 | 					"code" : "/* Zero Delay Feedback filters\n * using trapezoidal integrator by Vadim Zavalishin\n * https://www.discodsp.net/VAFilterDesign_2.1.2.pdf\n *\n * based on implementations by Will Pirkle and Steven Yi for Csound\n * \n * http://www.willpirkle.com/Downloads/AN-4VirtualAnalogFilters.2.0.pdf\n * http://www.willpirkle.com/Downloads/AN-5Korg35_V3.pdf\n * http://www.willpirkle.com/Downloads/AN-6DiodeLadderFilter.pdf\n * http://www.willpirkle.com/Downloads/AN-7Korg35HPF_V2.pdf\n * https://github.com/csound/csound/blob/master/Opcodes/wpfilters.c\n */\r\n\r\n/* Ladder lowpass\n * stable cf between 0 .. sr/2\n * (0 .. sr/4 recommended range)\n * safe q between 0.5 .. 24\n */\n\nzdf_ladder(xin, cf, q) {\n    History z0(0), z1(0), z2(0), z3(0);\n\n    T = 1 / samplerate;\n    T_div_two = T / 2;\n    two_div_T = 2 / T;\n\n    k = (4 * (q - 0.5)) / (25 - 0.5);\n\n    wd = twopi * cf;\n    wa =  two_div_T * tan(wd * T_div_two);\n\n    g = wa * T_div_two;\n    G = g / (1 + g);\n    G2 = G * G;\n    G3 = G2 * G;\n    GAMMA = G2 * G2;\n\n    g_one = g + 1;\n\n    S0 = z0 / g_one;\n    S1 = z1 / g_one;\n    S2 = z2 / g_one;\n    S3 = z3 / g_one;\n\n    S = (G3 * S0) + (G2 * S1) + (G * S2) + S3;\n    u = (xin - k * S) / (1 + k * GAMMA);\n\n    // 1st stage\n    v = (u - z0) * G;\n    lp = v + z0;\n    z0 = lp + v;\n\n    // 2nd stage\n    v = (lp - z1) * G;\n    lp = v + z1;\n    z1 = lp + v;\n\n    // 3rd stage\n    v = (lp - z2) * G;\n    lp = v + z2;\n    z2 = lp + v;\n\n    // 4th stage\n    v = (lp - z3) * G;\n    lp = v + z3;\n    z3 = lp + v;\n\n    return lp;\n}\r\n\r\nlimit = samplerate / 2;\r\n\r\ncf = clip(in2, 0, limit);\r\nq = clip(in3, 0, 1) * 23.5 + 0.5;\r\n\r\nout1 = zdf_ladder(in1, cf, q);",
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 92 | 					"fontname" : "<Monospaced>",
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 94 | 					"id" : "obj-5",
 95 | 					"maxclass" : "codebox",
 96 | 					"numinlets" : 3,
 97 | 					"numoutlets" : 1,
 98 | 					"outlettype" : [ "" ],
 99 | 					"patching_rect" : [ 15.0, 53.0, 585.0, 652.0 ]
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103 |  ],
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132 |  ]
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136 | 


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 89 | 				"box" : 				{
 90 | 					"id" : "obj-6",
 91 | 					"maxclass" : "newobj",
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 93 | 					"numoutlets" : 1,
 94 | 					"outlettype" : [ "" ],
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 96 | 					"text" : "in 1 @comment input"
 97 | 				}
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 99 | 			}
100 | , 			{
101 | 				"box" : 				{
102 | 					"code" : "/* SVF structure by Andrew Simper\r\n * Low, band, high, notch and peak with bounded terms\n * https://cytomic.com/files/dsp/SvfLinearTrapOptimised2.pdf\n *\r\n * stable cf between 0 .. sr/2\r\n */\n\n// Low shelf EQ\n\neq_loshelf(xin, cf, q, gain) {\n    History y0(0), y1(0), a1(0), a2(0), a3(0);\n\n    A = dbtoa(gain);\n\n    g = tan(cf * pi / samplerate) / sqrt(A);\n    r = 1 / q;\n\n    a1 = 1 / (1 + g * (g + r));\n    a2 = g * a1;\n    a3 = g * a2;\n\n    m0 = 1;\n    m1 = r * (A - 1);\n    m2 = (A * A - 1);\n\n    v3 = xin - y1;\n    v1 = a1 * y0 + a2 * v3;\n    v2 = y1 + a2 * y0 + a3 * v3;\n\n    y0 = 2 * v1 - y0;\n    y1 = 2 * v2 - y1;\n\n    return m0 * xin + m1 * v1 + m2 * v2;\n}\r\n\r\nlimit = samplerate / 2;\r\n\r\ncf = clip(in2, 0, limit);\r\nq = clip(in3, 0, 1) * 99 + 1;\r\ngain = clip(in4, -60, 60);\r\n\r\nout1 = eq_loshelf(in1, cf, q, gain);",
103 | 					"fontface" : 0,
104 | 					"fontname" : "<Monospaced>",
105 | 					"fontsize" : 12.0,
106 | 					"id" : "obj-5",
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113 | 
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115 |  ],
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142 | 
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147 | 					"source" : [ "obj-7", 0 ]
148 | 				}
149 | 
150 | 			}
151 |  ]
152 | 	}
153 | 
154 | }
155 | 


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 61 | 
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 63 | , 			{
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 84 | 				}
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 87 | , 			{
 88 | 				"box" : 				{
 89 | 					"code" : "// 1-pole non-resonant lowpass/highpass\n\nonepole(xin, cf) {\n    History state;\n\n    g = tan((twopi * cf) / samplerate);\n    gi = 1 / (1 + g);\n\n    lp = (g * xin + state) * gi;\n    state = g * (xin - lp) + lp;\n\n    hp = xin - lp;\n\n    return lp, hp;\n}\r\n\r\nlimit = samplerate / 4;\r\n\r\ncf = clip(in2, 0, limit);\r\nout1, out2 = onepole(in1, cf);",
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100 | 
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102 |  ],
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226 | 


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170 | 
171 | }
172 | 


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243 | }
244 | 


--------------------------------------------------------------------------------
/src/filters.genexpr:
--------------------------------------------------------------------------------
  1 | /* 1-pole non-resonant lowpass/highpass
  2 |  * stable cf between 0 .. sr/4
  3 |  */
  4 | 
  5 | onepole(xin, cf) {
  6 |     History state;
  7 | 
  8 |     g = tan((twopi * cf) / samplerate);
  9 |     gi = 1 / (1 + g);
 10 | 
 11 |     lp = (g * xin + state) * gi;
 12 |     state = g * (xin - lp) + lp;
 13 | 
 14 |     hp = xin - lp;
 15 | 
 16 |     return lp, hp;
 17 | }
 18 | 
 19 | /* Variable delay allpass
 20 |  * safe g between -1 .. 1
 21 |  */
 22 | 
 23 | allpass(d, xin, time, g) {
 24 |     z = d.read(time, interp = "cubic");
 25 | 
 26 |     x = xin + z * g;
 27 |     y = z + x * -g;
 28 | 
 29 |     d.write(x);
 30 | 
 31 |     return y;
 32 | }
 33 | 
 34 | /* Feedback comb filter
 35 |  * safe fb between -1 .. 1
 36 |  */
 37 | 
 38 | comb_fb(xin, freq, fb, polarity) {
 39 |     History z0(0);
 40 |     Delay   d0(samplerate);
 41 | 
 42 |     freq_ = samplerate / freq;
 43 | 
 44 |     d0.write(xin + (polarity ? z0 : -z0) * fb);
 45 |     z0 = d0.read(freq_, interp = "cubic");
 46 | 
 47 |     return xin + polarity ? z0 : -z0;
 48 | }
 49 | 
 50 | /* 2-pole 2-zero Reson Filter
 51 |  * based on the Csound implementation by Sean Costello
 52 |  * https://github.com/csound/csound
 53 |  *
 54 |  * An implementation of the 2-pole, 2-zero reson filter
 55 |  * described by Julius O. Smith and James B. Angell in
 56 |  * "A Constant Gain Digital Resonator Tuned by a Single
 57 |  * Coefficient," Computer Music Journal, Vol. 6, No. 4,
 58 |  * Winter 1982, p.36-39. resonr implements the version
 59 |  * where the zeros are located at z = 1 and z = -1.
 60 |  *
 61 |  * Normalizing factors derived from equations in Ken Steiglitz,
 62 |  * "A Note on Constant-Gain Digital Resonators," Computer
 63 |  * Music Journal, vol. 18, no. 4, pp. 8-10, Winter 1982.
 64 |  */
 65 | 
 66 | reson(xin, cf, bw) {
 67 |     History x1(0), x2(0), y1(0), y2(0);
 68 | 
 69 |     r = exp((bw * pi / samplerate) * -1);
 70 |     c1 = 2 * r * cos(cf * twopi / samplerate);
 71 |     c2 = r * r;
 72 | 
 73 |     y = ((1 - c2) * 0.5) * (xin - x2) + c1 * y1 - c2 * y2;
 74 | 
 75 |     x2 = x1;
 76 |     x1 = xin;
 77 |     y2 = y1;
 78 |     y1 = y;
 79 |     
 80 |     return y;
 81 | }
 82 | 
 83 | /* Zero Delay Feedback filters
 84 |  * using trapezoidal integrator by Vadim Zavalishin
 85 |  * https://www.discodsp.net/VAFilterDesign_2.1.2.pdf
 86 |  *
 87 |  * based on implementations by Will Pirkle and Steven Yi for Csound
 88 |  * 
 89 |  * http://www.willpirkle.com/Downloads/AN-4VirtualAnalogFilters.2.0.pdf
 90 |  * http://www.willpirkle.com/Downloads/AN-5Korg35_V3.pdf
 91 |  * http://www.willpirkle.com/Downloads/AN-6DiodeLadderFilter.pdf
 92 |  * http://www.willpirkle.com/Downloads/AN-7Korg35HPF_V2.pdf
 93 |  * https://github.com/csound/csound/blob/master/Opcodes/wpfilters.c
 94 |  */
 95 | 
 96 | /* ZDF 1-pole
 97 |  * stable cf between 0 .. sr/2
 98 |  */
 99 | 
100 | zdf_one(xin, cf) {
101 |     History z0(0);
102 | 
103 |     T = 1 / samplerate;
104 |     Tdiv2 = T / 2;
105 |     two_div_T = 2 / T;
106 | 
107 |     wd = twopi * cf;
108 |     wa = two_div_T * tan(wd * Tdiv2);
109 |     g = wa * Tdiv2;
110 | 
111 |     G = g / (1 + g);
112 | 
113 |     v = (xin - z0) * G;
114 |     lp = v + z0;
115 |     hp = xin - lp;
116 | 
117 |     z0 = lp + v;
118 | 
119 |     return lp, hp;
120 | }
121 | 
122 | /* ZDF 2-pole (SVF)
123 |  * stable cf between 0 .. sr/2-ish
124 |  * q at 0 will self-oscillate
125 |  */
126 | 
127 | zdf_svf(xin, cf, q) {
128 |     History z0(0), z1(0);
129 | 
130 |     T = 1 / samplerate;
131 |     Tdiv2 = T / 2;
132 |     two_div_T = 2 / T;
133 | 
134 |     wd = twopi * cf;
135 |     wa = two_div_T * tan(wd * Tdiv2);
136 |     g = wa * Tdiv2;
137 |     g2 = g * g;
138 | 
139 |     R = 1 / (2 * q);
140 | 
141 |     hp = (xin - (2 * R + g) * z0 - z1) / (1 + (2 * R * g) + g2);
142 |     bp = g * hp + z0;
143 |     lp = g * bp + z1;
144 | 
145 |     ubp = 2 * R * bp;
146 |     notch = xin - 2 * R * bp;
147 |     all = xin - 4 * R * bp;
148 |     peak = lp - hp;
149 | 
150 |     z0 = g * hp + bp;
151 |     z1 = g * bp + lp;
152 | 
153 |     return lp, hp, bp, ubp, notch, peak, all;
154 | }
155 | 
156 | // Korg 35 lowpass
157 | 
158 | k35_lp(xin, cf, q) {
159 |     History z1(0), z2(0), z3(0), S35(0);
160 | 
161 |     T = 1 / samplerate;
162 |     T_div_two = T / 2;
163 |     two_div_T = 2 / T;
164 | 
165 |     wd = twopi * cf;
166 |     wa = two_div_T * tan(wd * T_div_two);
167 |     g = wa * T_div_two;
168 |     G = g / (1 + g);
169 | 
170 |     K = 0.01 + ((2 - 0.01) * (q / 10));
171 | 
172 |     lpf2_beta = (K - (K * G)) / (1 + g);
173 |     hpf1_beta = -1 / (1 + g);
174 |     alpha = 1 / (1 - (K * G) + (K * G * G));
175 | 
176 |     v1 = (xin - z1) * G;
177 |     lp1 = v1 + z1;
178 |     z1 = lp1 + v1;
179 | 
180 |     u = alpha * (lp1 + S35);
181 | 
182 |     // for a non-linear response
183 |     // u = tanh(u * saturation);
184 | 
185 |     v2 = (u - z2) * G;
186 |     lp2 = v2 + z2;
187 |     z2 = lp2 + v2;
188 |     y = K * lp2;
189 | 
190 |     v3 = (y - z3) * G;
191 |     lp3 = v3 + z3;
192 |     z3 = lp3 + v3;
193 | 
194 |     S35 = (lpf2_beta * z2) + (hpf1_beta * z3);
195 | 
196 |     return (K > 0) ? (y / K) : y;
197 | }
198 | 
199 | /* Korg 35 highpass
200 |  * stable cf between 0 .. sr/2-ish
201 |  * safe q between 0 .. 10
202 |  */
203 | 
204 | k35_hp(xin, cf, q) {
205 |     History z1(0), z2(0), z3(0), S35(0);
206 | 
207 |     T = 1 / samplerate;
208 |     T_div_two = T / 2;
209 |     two_div_T = 2 / T;
210 | 
211 |     wd = twopi * cf;
212 |     wa = two_div_T * tan(wd * T_div_two);
213 |     g = wa * T_div_two;
214 |     G = g / (1 + g);
215 | 
216 |     K = 0.01 + ((2 - 0.01) * (q / 10));
217 | 
218 |     hpf2_beta = -G / (1 + g);
219 |     lpf1_beta = 1 / (1 + g);
220 |     alpha = 1 / (1 - (K * G) + (K * G * G));
221 | 
222 |     v1 = (xin - z1) * G;
223 |     lp1 = v1 + z1;
224 |     z1 = lp1 + v1;
225 |     y1 = xin - lp1;
226 | 
227 |     u = alpha * (y1 + S35);
228 |     y = K * u;
229 | 
230 |     // for a non-linear response
231 |     // y = tanh(y * saturation);
232 | 
233 |     v2 = (y - z2) * G;
234 |     lp2 = v2 + z2;
235 |     z2 = lp2 + v2;
236 |     hp2 = y - lp2;
237 | 
238 |     v3 = (hp2 - z3) * G;
239 |     lp3 = v3 + z3;
240 |     z3 = lp3 + v3;
241 | 
242 |     S35 = (hpf2_beta * z2) + (lpf1_beta * z3);
243 | 
244 |     return (K > 0) ? (y / K) : y;
245 | }
246 | 
247 | /* Ladder lowpass
248 |  * stable cf between 0 .. sr/2
249 |  * (0 .. sr/4 recommended range)
250 |  * safe q between 0.5 .. 24
251 |  */
252 | 
253 | zdf_ladder(xin, cf, q) {
254 |     History z0(0), z1(0), z2(0), z3(0);
255 | 
256 |     T = 1 / samplerate;
257 |     T_div_two = T / 2;
258 |     two_div_T = 2 / T;
259 | 
260 |     k = (4 * (q - 0.5)) / (25 - 0.5);
261 | 
262 |     wd = twopi * cf;
263 |     wa =  two_div_T * tan(wd * T_div_two);
264 | 
265 |     g = wa * T_div_two;
266 |     G = g / (1 + g);
267 |     G2 = G * G;
268 |     G3 = G2 * G;
269 |     GAMMA = G2 * G2;
270 | 
271 |     g_one = g + 1;
272 | 
273 |     S0 = z0 / g_one;
274 |     S1 = z1 / g_one;
275 |     S2 = z2 / g_one;
276 |     S3 = z3 / g_one;
277 | 
278 |     S = (G3 * S0) + (G2 * S1) + (G * S2) + S3;
279 |     u = (xin - k * S) / (1 + k * GAMMA);
280 | 
281 |     // 1st stage
282 |     v = (u - z0) * G;
283 |     lp = v + z0;
284 |     z0 = lp + v;
285 | 
286 |     // 2nd stage
287 |     v = (lp - z1) * G;
288 |     lp = v + z1;
289 |     z1 = lp + v;
290 | 
291 |     // 3rd stage
292 |     v = (lp - z2) * G;
293 |     lp = v + z2;
294 |     z2 = lp + v;
295 | 
296 |     // 4th stage
297 |     v = (lp - z3) * G;
298 |     lp = v + z3;
299 |     z3 = lp + v;
300 | 
301 |     return lp;
302 | }
303 | 
304 | /* Diode ladder lowpass
305 |  * stable cf between 0 .. sr/3
306 |  * safe q between 0 .. 19
307 |  */
308 | 
309 | zdf_diode(xin, cf, q, sat) {
310 |     History z0(0), z1(0), z2(0), z3(0),
311 |             a1(1), a2(0.5), a3(0.5), a4(0.5);
312 | 
313 |     T = 1 / samplerate;
314 |     T_div_two = T / 2;
315 |     two_div_T = 2 / T;
316 | 
317 |     wd = twopi * cf;
318 |     wa =  two_div_T * tan(wd * T_div_two);
319 | 
320 |     g = wa * T_div_two;
321 |     g_one = 1 + g;
322 | 
323 |     G4 = 0.5 * g / g_one;
324 |     G3 = 0.5 * g / (g_one - 0.5 * g * G4);
325 |     G2 = 0.5 * g / (g_one - 0.5 * g * G3);
326 |     G1 = g / (g_one - g * G2);
327 |     GAMMA = G4 * G3 * G2 * G1;
328 | 
329 |     SG1 = G4 * G3 * G2;
330 |     SG2 = G4 * G3;
331 |     SG3 = G4;
332 |     SG4 = 1;
333 | 
334 |     alpha = g / g_one;
335 | 
336 |     beta1 = 1 / (g_one - g * G2);
337 |     beta2 = 1 / (g_one - 0.5 * g * G3);
338 |     beta3 = 1 / (g_one - 0.5 * g * G4);
339 |     beta4 = 1 / g_one;
340 | 
341 |     gamma1 = 1 + G1 + G2;
342 |     gamma2 = 1 + G2 * G3;
343 |     gamma3 = 1 + G3 * G4;
344 | 
345 |     delta1 = g;
346 |     delta3 = 0.5 * g;
347 |     delta2 = delta3;
348 | 
349 |     epsilon1 = G2;
350 |     epsilon2 = G3;
351 |     epsilon3 = G4;
352 | 
353 |     // feedback inputs
354 |     fb4 = beta4 * z3;
355 |     fb3 = beta3 * (z2 + fb4 * delta3);
356 |     fb2 = beta2 * (z1 + fb3 * delta2);
357 | 
358 |     // feedback process
359 |     fbo1 = (beta1 * (z0 + fb2 * delta1));
360 |     fbo2 = (beta2 * (z1 + fb3 * delta2));
361 |     fbo3 = (beta3 * (z2 + fb4 * delta3));
362 | 
363 |     SIGMA = (SG1 * fbo1) + (SG2 * fbo2) + (SG3 * fbo3) + (SG4 * fb4);
364 | 
365 |     // non-linearity
366 |     xin_tanh = (1 / tanh(sat) * tanh(sat * xin));
367 | 
368 |     un = (xin_tanh - q * SIGMA) / (1 + q * GAMMA);
369 | 
370 |     // 1st stage
371 |     vin = un * gamma1 + fb2 + epsilon1 * fbo1;
372 |     v = (a1 * vin - z0) * alpha;
373 |     lp = v + z0;
374 |     z0 = lp + v;
375 | 
376 |     // 2nd stage
377 |     vin = lp * gamma2 + fb3 + epsilon2 * fbo2;
378 |     v = (a2 * vin - z1) * alpha;
379 |     lp = v + z1;
380 |     z1 = lp + v;
381 | 
382 |     // 3rd stage
383 |     vin = lp * gamma3 + fb4 + epsilon3 * fbo3;
384 |     v = (a3 * vin - z3) * alpha;
385 |     lp = v + z3;
386 |     z3 = lp + v;
387 | 
388 |     // 4th stage
389 |     v = (a4 * lp - z3) * alpha;
390 |     lp = v + z3;
391 |     z3 = lp + v;
392 | 
393 |     return lp;
394 | }
395 | 
396 | /* SVF structure by Émilie Gillet
397 |  * https://github.com/pichenettes/stmlib/blob/master/dsp/filter.h
398 |  * stable cf between 0 .. sr/2-ish
399 |  */
400 | 
401 | svf_eg(xin, cf, q) {
402 |     History y0(0), y1(0), lp(0), hp(0), bp(0);
403 | 
404 |     g = tan(cf * pi / samplerate);
405 |     
406 |     r = 1 / q;
407 |     
408 |     h = 1 / (1 + r * g + g * g);
409 |     rpg = r + g;
410 | 
411 |     hp = (xin - rpg * y0 - y1) * h;
412 |     bp = g * hp + y0;
413 |     y0 = g * hp + bp;
414 |     lp = g * bp + y1;
415 |     y1 = g * bp + lp;
416 | 
417 |     return lp, bp, hp;
418 | }
419 | 
420 | /* SVF structure by Andrew Simper
421 |  * Low, band, high, notch and peak with bounded terms
422 |  * https://cytomic.com/files/dsp/SvfLinearTrapOptimised2.pdf
423 |  *
424 |  * stable cf between 0 .. sr/2
425 |  */
426 | 
427 | svf_as(xin, cf, q) {
428 |     History y0(0), y1(0), a1(0), a2(0), a3(0);
429 | 
430 |     g = tan(cf * pi / samplerate);
431 |     r = 1 / q;
432 | 
433 |     a1 = 1 / (1 + g * (g + r));
434 |     a2 = g * a1;
435 |     a3 = g * a2;
436 | 
437 |     v3 = xin - y1;
438 |     v1 = a1 * y0 + a2 * v3;
439 |     v2 = y1 + a2 * y0 + a3 * v3;
440 |     
441 |     y0 = 2 * v1 - y0;
442 |     y1 = 2 * v2 - y1;
443 | 
444 |     lp = v2;
445 |     bp = v1;
446 |     hp = xin - r * v1 - v2;
447 |     notch = (lp + hp) + xin - r * v1;
448 |     peak = (lp - hp) + 2 * v2 - xin + r * v1;
449 |     all = (lp + hp - r * bp) + xin - 2 * r * v1;
450 | 
451 |     return lp, hp, bp, notch, peak, all;
452 | }
453 | 
454 | // Bell EQ
455 | 
456 | eq_bell(xin, cf, q, gain) {
457 |     History y0(0), y1(0), a1(0), a2(0), a3(0);
458 | 
459 |     A = pow(10, gain / 40);
460 | 
461 |     g = tan(cf * pi / samplerate);
462 |     r = 1 / (q * A);
463 | 
464 |     a1 = 1 / (1 + g * (g + r));
465 |     a2 = g * a1;
466 |     a3 = g * a2;
467 | 
468 |     m0 = 1;
469 |     m1 = r * (A * A - 1);
470 |     m2 = 0;
471 | 
472 |     v3 = xin - y1;
473 |     v1 = a1 * y0 + a2 * v3;
474 |     v2 = y1 + a2 * y0 + a3 * v3;
475 | 
476 |     y0 = 2 * v1 - y0;
477 |     y1 = 2 * v2 - y1;
478 | 
479 |     return xin + m1 * v1;
480 | }
481 | 
482 | // High shelf EQ
483 | 
484 | eq_hishelf(xin, cf, q, gain) {
485 |     History y0(0), y1(0), a1(0), a2(0), a3(0);
486 | 
487 |     A = dbtoa(gain);
488 | 
489 |     g = tan(cf * pi / samplerate) * sqrt(A);
490 |     r = 1 / q;
491 | 
492 |     a1 = 1 / (1 + g * (g + r));
493 |     a2 = g * a1;
494 |     a3 = g * a2;
495 | 
496 |     m0 = A * A;
497 |     m1 = r * (1 - A) * A;
498 |     m2 = (1 - A * A);
499 | 
500 |     v3 = xin - y1;
501 |     v1 = a1 * y0 + a2 * v3;
502 |     v2 = y1 + a2 * y0 + a3 * v3;
503 |     
504 |     y0 = 2 * v1 - y0;
505 |     y1 = 2 * v2 - y1;
506 | 
507 |     return m0 * xin + m1 * v1 + m2 * v2;   
508 | }
509 | 
510 | // Low shelf EQ
511 | 
512 | eq_loshelf(xin, cf, q, gain) {
513 |     History y0(0), y1(0), a1(0), a2(0), a3(0);
514 | 
515 |     A = dbtoa(gain);
516 | 
517 |     g = tan(cf * pi / samplerate) / sqrt(A);
518 |     r = 1 / q;
519 | 
520 |     a1 = 1 / (1 + g * (g + r));
521 |     a2 = g * a1;
522 |     a3 = g * a2;
523 | 
524 |     m0 = 1;
525 |     m1 = r * (A - 1);
526 |     m2 = (A * A - 1);
527 | 
528 |     v3 = xin - y1;
529 |     v1 = a1 * y0 + a2 * v3;
530 |     v2 = y1 + a2 * y0 + a3 * v3;
531 | 
532 |     y0 = 2 * v1 - y0;
533 |     y1 = 2 * v2 - y1;
534 | 
535 |     return m0 * xin + m1 * v1 + m2 * v2;
536 | }


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