Formula

[whywhy]

Hi everybody, I'm a new Voltage modular user,
I would like to know what kind of sign, symbols, can be use in the formula module?
+,-,^,*... and what else....
Cheers
Nico.

[Cherry Garcia]

It uses the open source mXParser.

http://mathparser.org/mxparser-tutorial/

This is a pretty powerful expression evaluator.

[Cherry Garcia]

This might be the best help here.

1. _number_ <number> regular expression for decimal numbers
2. + <Operator> addition
3. - <Operator> subtraction
4. * <Operator> multiplication
5. / <Operator> division
6. ^ <Operator> exponentiation
7. ! <Operator> factorial
8. # <Operator> modulo function
9. & <Boolean Operator> logical conjunction (AND)
10. && <Boolean Operator> logical conjunction (AND)
11. /\ <Boolean Operator> logical conjunction (AND)
12. ~& <Boolean Operator> NAND - Sheffer stroke
13. ~&& <Boolean Operator> NAND - Sheffer stroke
14. ~/\ <Boolean Operator> NAND - Sheffer stroke
15. | <Boolean Operator> logical disjunction (OR)
16. || <Boolean Operator> logical disjunction (OR)
17. \/ <Boolean Operator> logical disjunction (OR)
18. ~| <Boolean Operator> logical NOR
19. ~|| <Boolean Operator> logical NOR
20. ~\/ <Boolean Operator> logical NOR
21. (+) <Boolean Operator> exclusive or (XOR)
22. --> <Boolean Operator> implication (IMP)
23. <-- <Boolean Operator> converse implication (CIMP)
24. -/> <Boolean Operator> material nonimplication (NIMP)
25. </- <Boolean Operator> converse nonimplication (CNIMP)
26. <-> <Boolean Operator> logical biconditional (EQV)
27. ~ <Boolean Operator> negation
28. ¬ <Boolean Operator> negation
29. = <Binary Relation> equality
30. == <Binary Relation> equality
31. <> <Binary Relation> inequation
32. ~= <Binary Relation> inequation
33. != <Binary Relation> inequation
34. < <Binary Relation> lower than
35. > <Binary Relation> greater than
36. <= <Binary Relation> lower or equal
37. >= <Binary Relation> greater or equal
38. sin <Unary Function> trigonometric sine function
39. cos <Unary Function> trigonometric cosine function
40. tan <Unary Function> trigonometric tangent function
41. tg <Unary Function> trigonometric tangent function
42. ctan <Unary Function> trigonometric cotangent function
43. ctg <Unary Function> trigonometric cotangent function
44. cot <Unary Function> trigonometric cotangent function
45. sec <Unary Function> trigonometric secant function
46. cosec <Unary Function> trigonometric cosecant function
47. csc <Unary Function> trigonometric cosecant function
48. asin <Unary Function> inverse trigonometric sine function
49. arsin <Unary Function> inverse trigonometric sine function
50. arcsin <Unary Function> inverse trigonometric sine function
51. acos <Unary Function> inverse trigonometric cosine function
52. arcos <Unary Function> inverse trigonometric cosine function
53. arccos <Unary Function> inverse trigonometric cosine function
54. atan <Unary Function> inverse trigonometric tangent function
55. arctan <Unary Function> inverse trigonometric tangent function
56. atg <Unary Function> inverse trigonometric tangent function
57. arctg <Unary Function> inverse trigonometric tangent function
58. actan <Unary Function> inverse trigonometric cotangent function
59. arcctan <Unary Function> inverse trigonometric cotangent function
60. actg <Unary Function> inverse trigonometric cotangent function
61. arcctg <Unary Function> inverse trigonometric cotangent function
62. acot <Unary Function> inverse trigonometric cotangent function
63. arccot <Unary Function> inverse trigonometric cotangent function
64. ln <Unary Function> natural logarithm function (base e)
65. log2 <Unary Function> binary logarithm function (base 2)
66. log10 <Unary Function> common logarithm function (base 10)
67. rad <Unary Function> degrees to radians function
68. exp <Unary Function> exponential function
69. sqrt <Unary Function> squre root function
70. sinh <Unary Function> hyperbolic sine function
71. cosh <Unary Function> hyperbolic cosine function
72. tanh <Unary Function> hyperbolic tangent function
73. tgh <Unary Function> hyperbolic tangent function
74. ctanh <Unary Function> hyperbolic cotangent function
75. coth <Unary Function> hyperbolic cotangent function
76. ctgh <Unary Function> hyperbolic cotangent function
77. sech <Unary Function> hyperbolic secant function
78. csch <Unary Function> hyperbolic cosecant function
79. cosech <Unary Function> hyperbolic cosecant function
80. deg <Unary Function> radians to degrees function
81. abs <Unary Function> absolut value function
82. sgn <Unary Function> signum function
83. floor <Unary Function> floor function
84. ceil <Unary Function> ceiling function
85. not <Unary Function> negation function
86. asinh <Unary Function> inverse hyperbolic sine function
87. arsinh <Unary Function> inverse hyperbolic sine function
88. arcsinh <Unary Function> inverse hyperbolic sine function
89. acosh <Unary Function> inverse hyperbolic cosine function
90. arcosh <Unary Function> inverse hyperbolic cosine function
91. arccosh <Unary Function> inverse hyperbolic cosine function
92. atanh <Unary Function> inverse hyperbolic tangent function
93. arctanh <Unary Function> inverse hyperbolic tangent function
94. atgh <Unary Function> inverse hyperbolic tangent function
95. arctgh <Unary Function> inverse hyperbolic tangent function
96. actanh <Unary Function> inverse hyperbolic cotangent function
97. arcctanh <Unary Function> inverse hyperbolic cotangent function
98. acoth <Unary Function> inverse hyperbolic cotangent function
99. arcoth <Unary Function> inverse hyperbolic cotangent function
100. arccoth <Unary Function> inverse hyperbolic cotangent function
101. actgh <Unary Function> inverse hyperbolic cotangent function
102. arcctgh <Unary Function> inverse hyperbolic cotangent function
103. asech <Unary Function> inverse hyperbolic secant function
104. arsech <Unary Function> inverse hyperbolic secant function
105. arcsech <Unary Function> inverse hyperbolic secant function
106. acsch <Unary Function> inverse hyperbolic cosecant function
107. arcsch <Unary Function> inverse hyperbolic cosecant function
108. arccsch <Unary Function> inverse hyperbolic cosecant function
109. acosech <Unary Function> inverse hyperbolic cosecant function
110. arcosech <Unary Function> inverse hyperbolic cosecant function
111. arccosech <Unary Function> inverse hyperbolic cosecant function
112. sinc <Unary Function> sinc function (normalized)
113. Sa <Unary Function> sinc function (normalized)
114. Sinc <Unary Function> sinc function (unnormalized)
115. Bell <Unary Function> Bell number
116. Luc <Unary Function> Lucas number
117. Fib <Unary Function> Fionacci number
118. harm <Unary Function> Harmonic number
119. ispr <Unary Function> (2.3) Prime number test (is number a prime?)
120. Pi <Unary Function> (2.3) Prime-counting function - Pi(x)
121. Ei <Unary Function> (2.3) Exponential integral function (non-elementary special function) - usage example: Ei(x)
122. li <Unary Function> (2.3) Logarithmic integral function (non-elementary special function) - usage example: li(x)
123. Li <Unary Function> (2.3) Offset logarithmic integral function (non-elementary special function) - usage example: Li(x)
124. erf <Unary Function> (3.0) Gauss error function (non-elementary special function) - usage example: 2 + erf(x)
125. erfc <Unary Function> (3.0) Gauss complementary error function (non-elementary special function) - usage example: 1 - erfc(x)
126. erfInv <Unary Function> (3.0) Inverse Gauss error function (non-elementary special function) - usage example: erfInv(x)
127. erfcInv <Unary Function> (3.0) Inverse Gauss complementary error function (non-elementary special function) - usage example: erfcInv(x)
128. ulp <Unary Function> (3.0) Unit in The Last Place - ulp(0.1)
129. log <Binary Function> logarithm function
130. mod <Binary Function> modulo function
131. C <Binary Function> binomial coefficient function
132. Bern <Binary Function> Bernoulli numbers
133. Stirl1 <Binary Function> Stirling numbers of the first kind
134. Stirl2 <Binary Function> Stirling numbers of the second kind
135. Worp <Binary Function> Worpitzky number
136. Euler <Binary Function> Euler number
137. KDelta <Binary Function> Kronecker delta
138. EulerPol <Binary Function> EulerPol
139. Harm <Binary Function> Harmonic number
140. rUni <Binary Function> (3.0) Random variable - Uniform continuous distribution U(a,b), usage example: 2*rUni(2,10)
141. rUnid <Binary Function> (3.0) Random variable - Uniform discrete distribution U{a,b}, usage example: 2*rUnid(2,100)
142. round <Binary Function> (3.0) Half-up rounding, usage examples: round(2.2, 0) = 2, round(2.6, 0) = 3, round(2.66,1) = 2.7
143. rNor <Binary Function> (3.0) Random variable - Normal distribution N(m,s) m - mean, s - stddev, usage example: 3*rNor(0,1)
144. if <3-args Function> if function ( if(con, if_true, if_false) )
145. chi <3-args Function> Characteristic function for x in (a,b) - chi(x, a, b)
146. CHi <3-args Function> Characteristic function for x in [a,b] - CHi(x, a, b)
147. Chi <3-args Function> Characteristic function for x in [a,b) - Chi(x, a, b)
148. cHi <3-args Function> Characteristic function for x in (a,b] - cHi(x, a, b)
149. pUni <3-args Function> (3.0) Probability distribution function - Uniform continuous distribution U(a,b), usage example: 2 * pUni(x, 2, 10)
150. cUni <3-args Function> (3.0) Cumulative distribution function - Uniform continuous distribution U(a,b), usage example: 2 * cUni(x, 2, 10)
151. qUni <3-args Function> (3.0) Quantile function (inverse cumulative distribution function) - Uniform continuous distribution U(a,b), usage example: 2 * qUni(q, 2, 10)
152. pNor <3-args Function> (3.0) Probability distribution function - Normal distribution N(m,s) m - mean, s - stddev, usage example: 2 * pNor(x, 1, 2)
153. cNor <3-args Function> (3.0) Cumulative distribution function - Normal distribution N(m,s) m - mean, s - stddev, usage example: 2 * cNor(x, 1, 2)
154. qNor <3-args Function> (3.0) Quantile function (inverse cumulative distribution function) - Normal distribution N(m,s) m - mean, s - stddev, usage example: 2 * qNor(q, 1, 2)
155. iff <Variadic Function> if function ( iff(con_1, if_true_1_exp, ..., con_n, if_true_n_exp) )
156. min <Variadic Function> Minimum function: min(a,b,c,...)
157. max <Variadic Function> Maximum function: max(a,b,c,...)
158. ConFrac <Variadic Function> Continued fraction: ConFrac(a,b,c,...)
159. ConPol <Variadic Function> Continued polynomial: ConPol(a,b,c,...)
160. gcd <Variadic Function> Greatest common divisor: gcd(a,b,c,...)
161. lcm <Variadic Function> Least common multiple: lcm(a,b,c,...)
162. add <Variadic Function> (2.4) Summation operator add(a1,a2,a3,...,an)
163. multi <Variadic Function> (2.4) Multiplication multi(a1,a2,a3,...,an)
164. mean <Variadic Function> (2.4) Mean / average value mean(a1,a2,a3,...,an)
165. var <Variadic Function> (2.4) Bias-corrected sample variance var(a1,a2,a3,...,an)
166. std <Variadic Function> (2.4) Bias-corrected sample standard deviation std(a1,a2,a3,...,an)
167. rList <Variadic Function> (3.0) Random number from given list of numbers rList(a1,a2,a3,...,an)
168. sum <Calculus Operator> summation operator (SIGMA) sum(i, from, to, f(i,...))
169. prod <Calculus Operator> product operator (PI) prod(i, from, to, f(i,...))
170. int <Calculus Operator> definite integral operator ( int(f(x,...), x, a, b) )
171. der <Calculus Operator> derivative operator ( der(f(x,...), x) )
172. der- <Calculus Operator> left derivative operator ( der-(f(x,...), x) )
173. der+ <Calculus Operator> right derivative operator ( der+(f(x,...), x) )
174. dern <Calculus Operator> n-th derivative operator ( dern(f(x,...), x) )
175. diff <Calculus Operator> forward difference operator
176. difb <Calculus Operator> backward difference operator
177. avg <Calculus Operator> (2.4) Average operator avg(i, from, to, f(i,...))
178. vari <Calculus Operator> (2.4) Bias-corrected sample variance operator vari(i, from, to, f(i,...))
179. stdi <Calculus Operator> (2.4) Bias-corrected sample standard deviation operator stdi(i, from, to, f(i,...))
180. mini <Calculus Operator> (2.4) Minimum value mini(i, from, to, f(i,...))
181. maxi <Calculus Operator> (2.4) Maximum valu maxi(i, from, to, f(i,...))
182. solve <Calculus Operator> (4.0) f(x) = 0 equation solving, function root finding: solve( f(x,...), x, a, b )
183. pi <Constant Value> Pi, Archimedes' constant or Ludolph's number
184. e <Constant Value> Napier's constant, or Euler's number, base of Natural logarithm
185. [gam] <Constant Value> Euler-Mascheroni constant
186. [phi] <Constant Value> Golden ratio
187. [PN] <Constant Value> Plastic constant
188. [B*] <Constant Value> Embree-Trefethen constant
189. [F'd] <Constant Value> Feigenbaum constant alfa
190. [F'a] <Constant Value> Feigenbaum constant delta
191. [C2] <Constant Value> Twin prime constant
192. [M1] <Constant Value> Meissel-Mertens constant
193. [B2] <Constant Value> Brun's constant for twin primes
194. [B4] <Constant Value> Brun's constant for prime quadruplets
195. [BN'L] <Constant Value> de Bruijn-Newman constant
196. [Kat] <Constant Value> Catalan's constant
197. [K*] <Constant Value> Landau-Ramanujan constant
198. [K.] <Constant Value> Viswanath's constant
199. [B'L] <Constant Value> Legendre's constant
200. [RS'm] <Constant Value> Ramanujan-Soldner constant
201. [EB'e] <Constant Value> Erdos-Borwein constant
202. [Bern] <Constant Value> Bernstein's constant
203. [GKW'l] <Constant Value> Gauss-Kuzmin-Wirsing constant
204. [HSM's] <Constant Value> Hafner-Sarnak-McCurley constant
205. [lm] <Constant Value> Golomb-Dickman constant
206. [Cah] <Constant Value> Cahen's constant
207. [Ll] <Constant Value> Laplace limit
208. [AG] <Constant Value> Alladi-Grinstead constant
209. [L*] <Constant Value> Lengyel's constant
210. [L.] <Constant Value> Levy's constant
211. [Dz3] <Constant Value> Apery's constant
212. [A3n] <Constant Value> Mills' constant
213. [Bh] <Constant Value> Backhouse's constant
214. [Pt] <Constant Value> Porter's constant
215. [L2] <Constant Value> Lieb's square ice constant
216. [Nv] <Constant Value> Niven's constant
217. [Ks] <Constant Value> Sierpinski's constant
218. [Kh] <Constant Value> Khinchin's constant
219. [FR] <Constant Value> Fransen-Robinson constant
220. [La] <Constant Value> Landau's constant
221. [P2] <Constant Value> Parabolic constant
222. [Om] <Constant Value> Omega constant
223. [MRB] <Constant Value> MRB constant
224. [li2] <Constant Value> (2.3) li(2) - logarithmic integral function at x=2
225. [EG] <Constant Value> (2.3) Gompertz constant
226. [ c] <Constant Value> (4.0) <Physical Constant> Light speed in vacuum [m/s] (m=1, s=1)
227. [G.] <Constant Value> (4.0) <Physical Constant> Gravitational constant (m=1, kg=1, s=1)]
228. [g] <Constant Value> (4.0) <Physical Constant> Gravitational acceleration on Earth [m/s^2] (m=1, s=1)
229. [hP] <Constant Value> (4.0) <Physical Constant> Planck constant (m=1, kg=1, s=1)
230. [h-] <Constant Value> (4.0) <Physical Constant> Reduced Planck constant / Dirac constant (m=1, kg=1, s=1)]
231. [lP] <Constant Value> (4.0) <Physical Constant> Planck length [m] (m=1)
232. [mP] <Constant Value> (4.0) <Physical Constant> Planck mass [kg] (kg=1)
233. [tP] <Constant Value> (4.0) <Physical Constant> Planck time [s] (s=1)
234. [ly] <Constant Value> (4.0) <Astronomical Constant> Light year [m] (m=1)
235. [au] <Constant Value> (4.0) <Astronomical Constant> Astronomical unit [m] (m=1)
236. [pc] <Constant Value> (4.0) <Astronomical Constant> Parsec [m] (m=1)
237. [kpc] <Constant Value> (4.0) <Astronomical Constant> Kiloparsec [m] (m=1)
238. [Earth-R-eq] <Constant Value> (4.0) <Astronomical Constant> Earth equatorial radius [m] (m=1)
239. [Earth-R-po] <Constant Value> (4.0) <Astronomical Constant> Earth polar radius [m] (m=1)
240. [Earth-R] <Constant Value> (4.0) <Astronomical Constant> Earth mean radius (m=1)
241. [Earth-M] <Constant Value> (4.0) <Astronomical Constant> Earth mass [kg] (kg=1)
242. [Earth-D] <Constant Value> (4.0) <Astronomical Constant> Earth-Sun distance - semi major axis [m] (m=1)
243. [Moon-R] <Constant Value> (4.0) <Astronomical Constant> Moon mean radius [m] (m=1)
244. [Moon-M] <Constant Value> (4.0) <Astronomical Constant> Moon mass [kg] (kg=1)
245. [Moon-D] <Constant Value> (4.0) <Astronomical Constant> Moon-Earth distance - semi major axis [m] (m=1)
246. [Solar-R] <Constant Value> (4.0) <Astronomical Constant> Solar mean radius [m] (m=1)
247. [Solar-M] <Constant Value> (4.0) <Astronomical Constant> Solar mass [kg] (kg=1)
248. [Mercury-R] <Constant Value> (4.0) <Astronomical Constant> Mercury mean radius [m] (m=1)
249. [Mercury-M] <Constant Value> (4.0) <Astronomical Constant> Mercury mass [kg] (kg=1)
250. [Mercury-D] <Constant Value> (4.0) <Astronomical Constant> Mercury-Sun distance - semi major axis [m] (m=1)
251. [Venus-R] <Constant Value> (4.0) <Astronomical Constant> Venus mean radius [m] (m=1)
252. [Venus-M] <Constant Value> (4.0) <Astronomical Constant> Venus mass [kg] (kg=1)
253. [Venus-D] <Constant Value> (4.0) <Astronomical Constant> Venus-Sun distance - semi major axis [m] (m=1)
254. [Mars-R] <Constant Value> (4.0) <Astronomical Constant> Mars mean radius [m] (m=1)
255. [Mars-M] <Constant Value> (4.0) <Astronomical Constant> Mars mass [kg] (kg=1)
256. [Mars-D] <Constant Value> (4.0) <Astronomical Constant> Mars-Sun distance - semi major axis [m] (m=1)
257. [Jupiter-R] <Constant Value> (4.0) <Astronomical Constant> Jupiter mean radius [m] (m=1)
258. [Jupiter-M] <Constant Value> (4.0) <Astronomical Constant> Jupiter mass [kg] (kg=1)
259. [Jupiter-D] <Constant Value> (4.0) <Astronomical Constant> Jupiter-Sun distance - semi major axis [m] (m=1)
260. [Saturn-R] <Constant Value> (4.0) <Astronomical Constant> Saturn mean radius [m] (m=1)
261. [Saturn-M] <Constant Value> (4.0) <Astronomical Constant> Saturn mass [kg] (kg=1)
262. [Saturn-D] <Constant Value> (4.0) <Astronomical Constant> Saturn-Sun distance - semi major axis [m] (m=1)
263. [Uranus-R] <Constant Value> (4.0) <Astronomical Constant> Uranus mean radius [m] (m=1)
264. [Uranus-M] <Constant Value> (4.0) <Astronomical Constant> Uranus mass [kg] (kg=1)
265. [Uranus-D] <Constant Value> (4.0) <Astronomical Constant> Uranus-Sun distance - semi major axis [m] (m=1)
266. [Neptune-R] <Constant Value> (4.0) <Astronomical Constant> Neptune mean radius [m] (m=1)
267. [Neptune-M] <Constant Value> (4.0) <Astronomical Constant> Neptune mass [kg] (kg=1)
268. [Neptune-D] <Constant Value> (4.0) <Astronomical Constant> Neptune-Sun distance - semi major axis [m] (m=1)
269. [Uni] <Random Variable> (3.0) Random variable - Uniform continuous distribution U(0,1), usage example: 2*[Uni]
270. [Int] <Random Variable> (3.0) Random variable - random integer - usage example sin( 3*[Int] )
271. [Int1] <Random Variable> (3.0) Random variable - random integer - Uniform discrete distribution U{-10^1, 10^1} - usage example sin( 3*[Int1] )
272. [Int2] <Random Variable> (3.0) Random variable - random integer - Uniform discrete distribution U{-10^2, 10^2} - usage example sin( 3*[Int2] )
273. [Int3] <Random Variable> (3.0) Random variable - random integer - Uniform discrete distribution U{-10^3, 10^3} - usage example sin( 3*[Int3] )
274. [Int4] <Random Variable> (3.0) Random variable - random integer - Uniform discrete distribution U{-10^4, 10^4} - usage example sin( 3*[Int4] )
275. [Int5] <Random Variable> (3.0) Random variable - random integer - Uniform discrete distribution U{-10^5, 10^5} - usage example sin( 3*[Int5] )
276. [Int6] <Random Variable> (3.0) Random variable - random integer - Uniform discrete distribution U{-10^6, 10^6} - usage example sin( 3*[Int6] )
277. [Int7] <Random Variable> (3.0) Random variable - random integer - Uniform discrete distribution U{-10^7, 10^7} - usage example sin( 3*[Int7] )
278. [Int8] <Random Variable> (3.0) Random variable - random integer - Uniform discrete distribution U{-10^8, 10^8} - usage example sin( 3*[Int8] )
279. [Int9] <Random Variable> (3.0) Random variable - random integer - Uniform discrete distribution U{-10^9, 10^9} - usage example sin( 3*[Int9] )
280. [nat] <Random Variable> (3.0) Random variable - random natural number including 0 - usage example sin( 3*[nat] )
281. [nat1] <Random Variable> (3.0) Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^1} - usage example sin( 3*[nat1] )
282. [nat2] <Random Variable> (3.0) Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^2} - usage example sin( 3*[nat2] )
283. [nat3] <Random Variable> (3.0) Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^3} - usage example sin( 3*[nat3] )
284. [nat4] <Random Variable> (3.0) Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^4} - usage example sin( 3*[nat4] )
285. [nat5] <Random Variable> (3.0) Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^5} - usage example sin( 3*[nat5] )
286. [nat6] <Random Variable> (3.0) Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^6} - usage example sin( 3*[nat6] )
287. [nat7] <Random Variable> (3.0) Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^7} - usage example sin( 3*[nat7] )
288. [nat8] <Random Variable> (3.0) Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^8} - usage example sin( 3*[nat8] )
289. [nat9] <Random Variable> (3.0) Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^9} - usage example sin( 3*[nat9] )
290. [Nat] <Random Variable> (3.0) Random variable - random natural number - usage example sin( 3*[Nat] )
291. [Nat1] <Random Variable> (3.0) Random variable - random natural number - Uniform discrete distribution U{1, 10^1} - usage example sin( 3*[Nat1] )
292. [Nat2] <Random Variable> (3.0) Random variable - random natural number - Uniform discrete distribution U{1, 10^2} - usage example sin( 3*[Nat2] )
293. [Nat3] <Random Variable> (3.0) Random variable - random natural number - Uniform discrete distribution U{1, 10^3} - usage example sin( 3*[Nat3] )
294. [Nat4] <Random Variable> (3.0) Random variable - random natural number - Uniform discrete distribution U{1, 10^4} - usage example sin( 3*[Nat4] )
295. [Nat5] <Random Variable> (3.0) Random variable - random natural number - Uniform discrete distribution U{1, 10^5} - usage example sin( 3*[Nat5] )
296. [Nat6] <Random Variable> (3.0) Random variable - random natural number - Uniform discrete distribution U{1, 10^6} - usage example sin( 3*[Nat6] )
297. [Nat7] <Random Variable> (3.0) Random variable - random natural number - Uniform discrete distribution U{1, 10^7} - usage example sin( 3*[Nat7] )
298. [Nat8] <Random Variable> (3.0) Random variable - random natural number - Uniform discrete distribution U{1, 10^8} - usage example sin( 3*[Nat8] )
299. [Nat9] <Random Variable> (3.0) Random variable - random natural number - Uniform discrete distribution U{1, 10^9} - usage example sin( 3*[Nat9] )
300. [Nor] <Random Variable> (3.0) Random variable - Normal distribution N(0,1) - usage example cos( 3*[Nor]+1 )
301. @~ <Bitwise Operator> (4.0) Bitwise unary complement
302. @& <Bitwise Operator> (4.0) Bitwise AND
303. @^ <Bitwise Operator> (4.0) Bitwise exclusive OR
304. @| <Bitwise Operator> (4.0) Bitwise inclusive OR
305. @<< <Bitwise Operator> (4.0) Signed left shift
306. @>> <Bitwise Operator> (4.0) Signed right shift
307. [%] <Unit> (4.0) <Ratio, Fraction> Percentage = 0.01
308. [%%] <Unit> (4.0) <Ratio, Fraction> Promil, Per mille = 0.001
309. [Y] <Unit> (4.0) <Metric prefix> Septillion / Yotta = 10^24
310. [sept] <Unit> (4.0) <Metric prefix> Septillion / Yotta = 10^24
311. [Z] <Unit> (4.0) <Metric prefix> Sextillion / Zetta = 10^21
312. [sext] <Unit> (4.0) <Metric prefix> Sextillion / Zetta = 10^21
313. [E] <Unit> (4.0) <Metric prefix> Quintillion / Exa = 10^18
314. [quint] <Unit> (4.0) <Metric prefix> Quintillion / Exa = 10^18
315. [P] <Unit> (4.0) <Metric prefix> Quadrillion / Peta = 10^15
316. [quad] <Unit> (4.0) <Metric prefix> Quadrillion / Peta = 10^15
317. [T] <Unit> (4.0) <Metric prefix> Trillion / Tera = 10^12
318. [tril] <Unit> (4.0) <Metric prefix> Trillion / Tera = 10^12
319. [G] <Unit> (4.0) <Metric prefix> Billion / Giga = 10^9
320. [bil] <Unit> (4.0) <Metric prefix> Billion / Giga = 10^9
321. [M] <Unit> (4.0) <Metric prefix> Million / Mega = 10^6
322. [mil] <Unit> (4.0) <Metric prefix> Million / Mega = 10^6
323. [k] <Unit> (4.0) <Metric prefix> Thousand / Kilo = 10^3
324. [th] <Unit> (4.0) <Metric prefix> Thousand / Kilo = 10^3
325. [hecto] <Unit> (4.0) <Metric prefix> Hundred / Hecto = 10^2
326. [hund] <Unit> (4.0) <Metric prefix> Hundred / Hecto = 10^2
327. [deca] <Unit> (4.0) <Metric prefix> Ten / Deca = 10
328. [ten] <Unit> (4.0) <Metric prefix> Ten / Deca = 10
329. [deci] <Unit> (4.0) <Metric prefix> Tenth / Deci = 0.1
330. [centi] <Unit> (4.0) <Metric prefix> Hundredth / Centi = 0.01
331. [milli] <Unit> (4.0) <Metric prefix> Thousandth / Milli = 0.001
332. [mic] <Unit> (4.0) <Metric prefix> Millionth / Micro = 10^-6
333. [n] <Unit> (4.0) <Metric prefix> Billionth / Nano = 10^-9
334. [p] <Unit> (4.0) <Metric prefix> Trillionth / Pico = 10^-12
335. [f] <Unit> (4.0) <Metric prefix> Quadrillionth / Femto = 10^-15
336. [a] <Unit> (4.0) <Metric prefix> Quintillionth / Atoo = 10^-18
337. [z] <Unit> (4.0) <Metric prefix> Sextillionth / Zepto = 10^-21
338. [y] <Unit> (4.0) <Metric prefix> Septillionth / Yocto = 10^-24
339. [m] <Unit> (4.0) <Unit of length> Metre / Meter (m=1)
340. [km] <Unit> (4.0) <Unit of length> Kilometre / Kilometer (m=1)
341. [cm] <Unit> (4.0) <Unit of length> Centimetre / Centimeter (m=1)
342. [mm] <Unit> (4.0) <Unit of length> Millimetre / Millimeter (m=1)
343. [inch] <Unit> (4.0) <Unit of length> Inch (m=1)
344. [yd] <Unit> (4.0) <Unit of length> Yard (m=1)
345. [ft] <Unit> (4.0) <Unit of length> Feet (m=1)
346. [mile] <Unit> (4.0) <Unit of length> Mile (m=1)
347. [nmi] <Unit> (4.0) <Unit of length> Nautical mile (m=1)
348. [m2] <Unit> (4.0) <Unit of area> Square metre / Square meter (m=1)
349. [cm2] <Unit> (4.0) <Unit of area> Square centimetre / Square centimeter (m=1)
350. [mm2] <Unit> (4.0) <Unit of area> Square millimetre / Square millimeter (m=1)
351. [are] <Unit> (4.0) <Unit of area> Are (m=1)
352. [ha] <Unit> (4.0) <Unit of area> Hectare (m=1)
353. [acre] <Unit> (4.0) <Unit of area> Acre (m=1)
354. [km2] <Unit> (4.0) <Unit of area> Square kilometre / Square kilometer (m=1)
355. [mm3] <Unit> (4.0) <Unit of volume> Cubic millimetre / Cubic millimeter (m=1)
356. [cm3] <Unit> (4.0) <Unit of volume> Cubic centimetre / Cubic centimeter (m=1)
357. [m3] <Unit> (4.0) <Unit of volume> Cubic metre / Cubic meter (m=1)
358. [km3] <Unit> (4.0) <Unit of volume> Cubic kilometre / Cubic kilometer (m=1)
359. [ml] <Unit> (4.0) <Unit of volume> Millilitre / Milliliter (m=1)
360. [l] <Unit> (4.0) <Unit of volume> Litre / Liter (m=1)
361. [gall] <Unit> (4.0) <Unit of volume> Gallon (m=1)
362. [pint] <Unit> (4.0) <Unit of volume> Pint (m=1)
363. [s] <Unit> (4.0) <Unit of time> Second (s=1)
364. [ms] <Unit> (4.0) <Unit of time> Millisecond (s=1)
365. [min] <Unit> (4.0) <Unit of time> Minute (s=1)
366. [h] <Unit> (4.0) <Unit of time> Hour (s=1)
367. [day] <Unit> (4.0) <Unit of time> Day (s=1)
368. [week] <Unit> (4.0) <Unit of time> Week (s=1)
369. [yearj] <Unit> (4.0) <Unit of time> Julian year = 365.25 days (s=1)
370. [kg] <Unit> (4.0) <Unit of mass> Kilogram (kg=1)
371. [gr] <Unit> (4.0) <Unit of mass> Gram (kg=1)
372. [mg] <Unit> (4.0) <Unit of mass> Milligram (kg=1)
373. [dag] <Unit> (4.0) <Unit of mass> Decagram (kg=1)
374. [t] <Unit> (4.0) <Unit of mass> Tonne (kg=1)
375. [oz] <Unit> (4.0) <Unit of mass> Ounce (kg=1)
376. [lb] <Unit> (4.0) <Unit of mass> Pound (kg=1)
377. <Unit> (4.0) <Unit of information> Bit (bit=1)
378. [kb] <Unit> (4.0) <Unit of information> Kilobit (bit=1)
379. [Mb] <Unit> (4.0) <Unit of information> Megabit (bit=1)
380. [Gb] <Unit> (4.0) <Unit of information> Gigabit (bit=1)
381. [Tb] <Unit> (4.0) <Unit of information> Terabit (bit=1)
382. [Pb] <Unit> (4.0) <Unit of information> Petabit (bit=1)
383. [Eb] <Unit> (4.0) <Unit of information> Exabit (bit=1)
384. [Zb] <Unit> (4.0) <Unit of information> Zettabit (bit=1)
385. [Yb] <Unit> (4.0) <Unit of information> Yottabit (bit=1)
386. <Unit> (4.0) <Unit of information> Byte (bit=1)
387. [kB] <Unit> (4.0) <Unit of information> Kilobyte (bit=1)
388. [MB] <Unit> (4.0) <Unit of information> Megabyte (bit=1)
389. [GB] <Unit> (4.0) <Unit of information> Gigabyte (bit=1)
390. [TB] <Unit> (4.0) <Unit of information> Terabyte (bit=1)
391. [PB] <Unit> (4.0) <Unit of information> Petabyte (bit=1)
392. [EB] <Unit> (4.0) <Unit of information> Exabyte (bit=1)
393. [ZB] <Unit> (4.0) <Unit of information> Zettabyte (bit=1)
394. [YB] <Unit> (4.0) <Unit of information> Yottabyte (bit=1)
395. [J] <Unit> (4.0) <Unit of energy> Joule (m=1, kg=1, s=1)
396. [eV] <Unit> (4.0) <Unit of energy> Electronovolt (m=1, kg=1, s=1)
397. [keV] <Unit> (4.0) <Unit of energy> Kiloelectronovolt (m=1, kg=1, s=1)
398. [MeV] <Unit> (4.0) <Unit of energy> Megaelectronovolt (m=1, kg=1, s=1)
399. [GeV] <Unit> (4.0) <Unit of energy> Gigaelectronovolt (m=1, kg=1, s=1)
400. [TeV] <Unit> (4.0) <Unit of energy> Teraelectronovolt (m=1, kg=1, s=1)
401. [m/s] <Unit> (4.0) <Unit of speed> Metre / Meter per second (m=1, s=1)
402. [km/h] <Unit> (4.0) <Unit of speed> Kilometre / Kilometer per hour (m=1, s=1)
403. [mi/h] <Unit> (4.0) <Unit of speed> Mile per hour (m=1, s=1)
404. [knot] <Unit> (4.0) <Unit of speed> Knot (m=1, s=1)
405. [m/s2] <Unit> (4.0) <Unit of acceleration> Metre / Meter per square second (m=1, s=1)
406. [km/h2] <Unit> (4.0) <Unit of acceleration> Kilometre / Kilometer per square hour (m=1, s=1)
407. [mi/h2] <Unit> (4.0) <Unit of acceleration> Mile per square hour (m=1, s=1)
408. [rad] <Unit> (4.0) <Unit of angle> Radian (rad=1)
409. [deg] <Unit> (4.0) <Unit of angle> Degree of arc (rad=1)
410. ['] <Unit> (4.0) <Unit of angle> Minute of arc (rad=1)
411. [''] <Unit> (4.0) <Unit of angle> Second of arc (rad=1)
412. ( <Parser Symbol> left parentheses
413. ) <Parser Symbol> right parentheses
414. , <Parser Symbol> comma (function parameters)
415. ; <Parser Symbol> semicolon

[whywhy]

Thanks Garcia,

This module is just awesome.

I have just scratched the surface, and i'm not a mathematician but what we can do is so powerful.
Wavetable, phase modulation, waveshaping... at audio rate or CV...
I will post some formulas tomorrow.
If you couple it with some envelopes and vca's, plus some diode module...

It's an amazing module.

[Cherry Garcia]

Thanks!

This is what we hoped for. Looking forward to what you come up with. I also have found myself playing with this module for hours. It's pretty crazy what you can come up with. It also highlights the power of the upcoming Module Designer. We literally added the JAR file for this math library and added a few lines of code and a GUI.

[whywhy]

x-(0.635*sin(x*pi))

x+(0.75*cos(y*pi))

0.25+(0.75*cos(y*pi))

0.25+(0.75*sin(y*pi))

cos(y^3)-0.5*x

sin(y*32)-0.5*x

cos(y+1)*-1*sin(x^2)

x#2

(x#.5)+x-(0.635*sin(y*pi))

y#2-(0.635-sin(x*pi))

y^2-(0.635*cos(x*pi))
5
y#2-(0.635-sin(x*y))

y#2-(0.635+sin(x*y-0.5))

y/2*sin(y#8)-1*x

cos(y*16)+sin(y#16)-1*x

cos(y*16)+sin(y#16)-1*y

cos(x*16)+sin(y#16)-1*y

cos(x*16)+y

deg(x/2)

deg(x/2)+cos(x*16)+y

exp(x/2)+cos(x*2)

exp(x*2)-not(y-1)

sin(x*50*y*.2)*.4

sin(x*2*y*0.2)

x#.5*y

y*sin(2*pi*x)*.7

y*floor(2/pi*x)*.71

acot(x#2.5)-x

sin(((x#1.1)*(x#1))-.5)*2

arccot(((x#5.1)*(x#1))-.5)*2

Like you can see, it's more trial and error than reel science, but it works.

I have post some presets and template.

Cheers
Nico.

[Cherry Garcia]

Nico,

Pretty cool. Thanks for the research. Now I have spent another hour messing around with Formula. (=

[whywhy]

Hi Garcia,
I would like to know if it's possible to make some polynomial, I would like to make a wavefolder.
Another thing, can we have a phase function in the parser?
About my research, , it's more trial and errors...I'm so bad at mathematics.
I would like to know, what kind of formula can we do with : tan ?.