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26 <p class="p1"><span class="s1"><b>Rotate2<span class="Apple-tab-span"> </span><span class="Apple-tab-span"> </span><span class="Apple-tab-span"> </span></b></span><b>Rotate a sound field</b></p>
27 <p class="p2"><br></p>
28 <p class="p3"><b>Rotate2.kr(x, y, pos)</b></p>
29 <p class="p4"><br></p>
30 <p class="p3">Rotate2 can be used for rotating an ambisonic B-format sound field around an axis.</p>
31 <p class="p3">Rotate2 does an equal power rotation so it also works well on stereo sounds.</p>
32 <p class="p3">It takes two audio inputs (x, y) and an angle control (pos).</p>
33 <p class="p3">It outputs two channels (x, y).</p>
34 <p class="p3">It computes this:</p>
35 <p class="p4"><br></p>
36 <p class="p3">xout = cos(angle) * xin + sin(angle) * yin;</p>
37 <p class="p3">yout = cos(angle) * yin - sin(angle) * xin;</p>
38 <p class="p4"><br></p>
39 <p class="p3">where angle = pos * pi,<span class="Apple-converted-space">  </span>so that -1 becomes -pi and +1 becomes +pi.<span class="Apple-converted-space"> </span></p>
40 <p class="p3">This allows you to use an LFSaw to do continuous rotation around a circle.</p>
41 <p class="p4"><br></p>
42 <p class="p3"><b>x, y</b> - input signals</p>
43 <p class="p3"><b>pos</b> - angle to rotate around the circle from -1 to +1.<span class="Apple-converted-space"> </span></p>
44 <p class="p3">-1 is 180 degrees, -0.5 is left, 0 is forward, +0.5 is right, +1 is behind.</p>
45 <p class="p4"><br></p>
46 <p class="p5">(</p>
47 <p class="p5">{</p>
48 <p class="p5"><span class="Apple-tab-span"> </span><span class="s2">var</span> w, x, y, p, q, a, b, c, d;</p>
49 <p class="p6"><span class="Apple-tab-span"> </span></p>
50 <p class="p5"><span class="Apple-tab-span"> </span>p = <span class="s2">WhiteNoise</span>.ar(0.05); <span class="s3">// source</span></p>
51 <p class="p5"><span class="Apple-tab-span"> </span>q = <span class="s2">LFSaw</span>.ar(200,0,0.03)+<span class="s2">LFSaw</span>.ar(200.37,0,0.03)+<span class="s2">LFSaw</span>.ar(201,0,0.03);</p>
52 <p class="p6"><span class="Apple-tab-span"> </span></p>
53 <p class="p7"><span class="s4"><span class="Apple-tab-span"> </span></span>// B-format encode 2 signals at opposite sides of the circle</p>
54 <p class="p5"><span class="Apple-tab-span"> </span>#w, x, y = <span class="s2">PanB2</span>.ar(p, -0.5) + <span class="s2">PanB2</span>.ar(q, 0.5);<span class="Apple-converted-space"> </span></p>
55 <p class="p6"><span class="Apple-tab-span"> </span></p>
56 <p class="p5"><span class="Apple-tab-span"> </span>#x, y = <span class="s2">Rotate2</span>.ar(x, y, <span class="s2">MouseX</span>.kr(-1,1));</p>
57 <p class="p6"><span class="Apple-tab-span"> </span></p>
58 <p class="p7"><span class="s4"><span class="Apple-tab-span"> </span></span>// B-format decode to quad</p>
59 <p class="p5"><span class="Apple-tab-span"> </span>#a, b, c, d = <span class="s2">DecodeB2</span>.ar(4, w, x, y);</p>
60 <p class="p6"><span class="Apple-tab-span"> </span></p>
61 <p class="p7"><span class="s4"><span class="Apple-tab-span"> </span>[a, b, d, c] </span>// reorder to my speaker arrangement: Lf Rf Lr Rr</p>
62 <p class="p5">}.play;</p>
63 <p class="p5">)</p>
64 <p class="p8"><br></p>
65 <p class="p8"><br></p>
66 <p class="p8"><br></p>
67 <p class="p7">// Rotation of 2 mono sounds in the stereo field:</p>
68 <p class="p5">(</p>
69 <p class="p5">{</p>
70 <p class="p7"><span class="s4"><span class="Apple-tab-span"> </span></span>// rotation via lfo</p>
71 <p class="p5"><span class="Apple-tab-span"> </span><span class="s2">var</span> x, y;</p>
72 <p class="p5"><span class="Apple-tab-span"> </span>x = <span class="s2">PinkNoise</span>.ar(0.4);</p>
73 <p class="p5"><span class="Apple-tab-span"> </span>y = <span class="s2">LFTri</span>.ar(800) * <span class="s2">LFPulse</span>.kr(3,0,0.3,0.2);</p>
74 <p class="p5"><span class="Apple-tab-span"> </span>#x, y = <span class="s2">Rotate2</span>.ar(x, y, <span class="s2">LFSaw</span>.kr(0.1));</p>
75 <p class="p5"><span class="Apple-tab-span"> </span>[x,y]</p>
76 <p class="p5">}.play;</p>
77 <p class="p5">)</p>
78 <p class="p6"><br></p>
79 <p class="p5">{</p>
80 <p class="p7"><span class="s4"><span class="Apple-tab-span"> </span></span>// rotation via mouse</p>
81 <p class="p5"><span class="Apple-tab-span"> </span><span class="s2">var</span> x, y;</p>
82 <p class="p5"><span class="Apple-tab-span"> </span>x = <span class="s2">Mix</span>.fill(4, { <span class="s2">LFSaw</span>.ar(200 + 2.0.rand2, 0, 0.1) });</p>
83 <p class="p5"><span class="Apple-tab-span"> </span>y = <span class="s2">SinOsc</span>.ar(900) * <span class="s2">LFPulse</span>.kr(3,0,0.3,0.2);</p>
84 <p class="p5"><span class="Apple-tab-span"> </span>#x, y = <span class="s2">Rotate2</span>.ar(x, y, <span class="s2">MouseX</span>.kr(0,2));</p>
85 <p class="p5"><span class="Apple-tab-span"> </span>[x,y]</p>
86 <p class="p5">}.play;</p>
87 <p class="p6"><br></p>
88 <p class="p6"><br></p>
89 <p class="p7">// Rotate B-format about Z axis:</p>
90 <p class="p6"><br></p>
91 <p class="p5">wout = win;</p>
92 <p class="p5">zout = zin;</p>
93 <p class="p5">#xout, yout = <span class="s2">Rotate2</span>.ar(xin, yin, pos);</p>
94 <p class="p6"><br></p>
95 <p class="p7">// Rotate B-format about Y axis:</p>
96 <p class="p6"><br></p>
97 <p class="p5">wout = win;</p>
98 <p class="p5">yout = yin;</p>
99 <p class="p5">#xout, zout = <span class="s2">Rotate2</span>.ar(xin, zin, pos);</p>
100 <p class="p6"><br></p>
101 <p class="p7">// Rotate B-format about X axis:</p>
102 <p class="p6"><br></p>
103 <p class="p5">wout = win;</p>
104 <p class="p5">xout = xin;</p>
105 <p class="p5">#yout, zout = <span class="s2">Rotate2</span>.ar(yin, zin, pos);</p>
106 <p class="p6"><br></p>
107 <p class="p6"><br></p>
108 <p class="p6"><br></p>
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