Include a header file required for build on mac 10.4
[supercollider.git] / Help / Language / Operators.html
blob6809234b32e69dd0728d0afa43b0af1867f28038
1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">
2 <html>
3 <head>
4 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
5 <meta http-equiv="Content-Style-Type" content="text/css">
6 <title></title>
7 <meta name="Generator" content="Cocoa HTML Writer">
8 <meta name="CocoaVersion" content="824.42">
9 <style type="text/css">
10 p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 18.0px Helvetica}
11 p.p2 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Helvetica; min-height: 14.0px}
12 p.p3 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Helvetica}
13 p.p4 {margin: 0.0px 0.0px 0.0px 0.0px; font: 9.0px Helvetica; min-height: 11.0px}
14 </style>
15 </head>
16 <body>
17 <p class="p1"><b>Operators</b></p>
18 <p class="p2"><br></p>
19 <p class="p3">SuperCollider supports operator overloading. Operators can thus be applied to a variety of different objects; Numbers, Ugens, Collections, and so on. When operators are applied to ugens they result in BinaryOpUGens or UnaryOpUGens. See the <b>BinaryOpUGen </b>overview<b> </b>helpfile for details.</p>
20 <p class="p2"><br></p>
21 <p class="p3"><b>Unary Operators</b></p>
22 <p class="p4"><br></p>
23 <p class="p3">neg .. inversion</p>
24 <p class="p3">reciprocal .. reciprocal</p>
25 <p class="p3">abs .. absolute value</p>
26 <p class="p3">floor .. next lower integer</p>
27 <p class="p3">ceil .. next higher integer</p>
28 <p class="p3">frac .. fractional part</p>
29 <p class="p3">sign .. -1 when a &lt; 0, +1 when a &gt; 0, 0 when a is 0</p>
30 <p class="p3">squared .. a*a</p>
31 <p class="p3">cubed .. a*a*a</p>
32 <p class="p3">sqrt .. square root</p>
33 <p class="p3">exp .. exponential</p>
34 <p class="p3">midicps .. MIDI note number to cycles per second</p>
35 <p class="p3">cpsmidi .. cycles per second to MIDI note number</p>
36 <p class="p3">midiratio .. convert an interval in MIDI notes into a frequency ratio</p>
37 <p class="p3">ratiomidi .. convert a frequency ratio to an interval in MIDI notes</p>
38 <p class="p3">dbamp .. decibels to linear amplitude</p>
39 <p class="p3">ampdb .. linear amplitude to decibels</p>
40 <p class="p3">octcps .. decimal octaves to cycles per second</p>
41 <p class="p3">cpsoct .. cycles per second to decimal octaves</p>
42 <p class="p3">log .. natural logarithm</p>
43 <p class="p3">log2 .. base 2 logarithm</p>
44 <p class="p3">log10 .. base 10 logarithm</p>
45 <p class="p3">sin .. sine</p>
46 <p class="p3">cos .. cosine</p>
47 <p class="p3">tan .. tangent</p>
48 <p class="p3">asin .. arcsine</p>
49 <p class="p3">acos .. arccosine</p>
50 <p class="p3">atan .. arctangent</p>
51 <p class="p3">sinh .. hyperbolic sine</p>
52 <p class="p3">cosh .. hyperbolic cosine</p>
53 <p class="p3">tanh .. hyperbolic tangent</p>
54 <p class="p3">distort .. distortion</p>
55 <p class="p3">softclip .. distortion</p>
56 <p class="p3">isPositive .. 1 when a &gt;= 0, else 0</p>
57 <p class="p3">isNegative .. 1 when a &lt; 0, else 0</p>
58 <p class="p3">isStrictlyPositive .. 1 when a &gt; 0, else 0</p>
59 <p class="p3">(36)</p>
60 <p class="p4"><br></p>
61 <p class="p3"><b>Binary Operators</b></p>
62 <p class="p4"><br></p>
63 <p class="p3">+ .. addition</p>
64 <p class="p3">- .. subtraction</p>
65 <p class="p3">* .. multiplication</p>
66 <p class="p3">/ .. division</p>
67 <p class="p3">% .. float modulo</p>
68 <p class="p3">** .. exponentiation</p>
69 <p class="p3">&lt;<span class="Apple-converted-space">  </span>.. less than</p>
70 <p class="p3">&lt;= .. less than or equal</p>
71 <p class="p3">&gt;<span class="Apple-converted-space">  </span>.. greater than</p>
72 <p class="p3">&gt;= .. greater than or equal</p>
73 <p class="p3">== .. equal</p>
74 <p class="p3">!= .. not equal</p>
75 <p class="p3">&lt;! .. return first argument</p>
76 <p class="p3">min .. minimum of two</p>
77 <p class="p3">max .. maximum of two</p>
78 <p class="p3">round .. quantization by rounding</p>
79 <p class="p3">trunc .. quantization by truncation</p>
80 <p class="p3">atan2 .. arctangent</p>
81 <p class="p3">hypot .. hypotenuse <span class="Apple-converted-space">  </span>sqrt(a*a + b*b)</p>
82 <p class="p3">hypotApx .. hypotenuse approximation</p>
83 <p class="p3">ring1 .. a*b + a <span class="Apple-converted-space">  </span>or equivalently: <span class="Apple-converted-space">  </span>a*(b + 1)</p>
84 <p class="p3">ring2 .. a*b + a + b</p>
85 <p class="p3">ring3 .. a*a*b</p>
86 <p class="p3">ring4 .. a*a*b - a*b*b</p>
87 <p class="p3">sumsqr .. a*a + b*b</p>
88 <p class="p3">difsqr .. a*a - b*b</p>
89 <p class="p3">sqrsum .. (a + b)**2</p>
90 <p class="p3">sqrdif .. (a - b)**2</p>
91 <p class="p3">absdif .. fabs(a - b)</p>
92 <p class="p3">thresh .. threshholding <span class="Apple-converted-space">  </span>{ 0 when a &lt; b, a when a &gt;= b }</p>
93 <p class="p3">amclip .. two quadrant multiply <span class="Apple-converted-space">  </span>{ 0 when b &lt;= 0, a*b when b &gt; 0 }</p>
94 <p class="p3">scaleneg .. nonlinear amplification <span class="Apple-converted-space">  </span>{ a when a &gt;= 0, a*b when a &lt; 0 }</p>
95 <p class="p3">clip2<span class="Apple-converted-space">  </span>.. bilateral clipping { b when a &gt; b, -b when a &lt; -b, else a }</p>
96 <p class="p3">wrap2<span class="Apple-converted-space">  </span>.. bilateral wrapping</p>
97 <p class="p3">fold2<span class="Apple-converted-space">  </span>.. bilateral folding</p>
98 <p class="p3">excess .. residual of clipping <span class="Apple-converted-space">  </span>a - clip2(a,b)</p>
99 <p class="p3">(36)</p>
100 <p class="p2"><br></p>
101 <p class="p2"><br></p>
102 <p class="p2"><br></p>
103 </body>
104 </html>