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1
2 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
3 ;;
4 ;; MODULE : giac-menus.scm
5 ;; DESCRIPTION : Giac menus
6 ;; COPYRIGHT : (C) 1999 Bernard Parisse and Joris van der Hoeven
7 ;; 2021 Luka Marohnić
8 ;;
9 ;; This software falls under the GNU general public license version 3 or later.
10 ;; It comes WITHOUT ANY WARRANTY WHATSOEVER. For details, see the file LICENSE
11 ;; in the root directory or <http://www.gnu.org/licenses/gpl-3.0.html>.
12 ;;
13 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
14
15 (texmacs-module (giac-menus)
16 (:use (utils plugins plugin-cmd)
17 (doc help-funcs)
18 (dynamic scripts-edit)
19 (dynamic session-menu)
20 (convert tools tmconcat)))
21
22 (define (giac-spaces? t)
23 (and (string? t) (in? t (list "" " " " " " " " "))))
24
25 (define (giac-output-simplify t)
26 ;;(display* "Simplify " t "\n")
27 (cond ((and (func? t 'concat) (== (length t) 4) (func? (cadr t) 'htab) (func? (caddr t) 'image))
28 (plugin-output-std-simplify "giac" (caddr t)))
29 ((and (func? t 'equation*) (func? (cAr t) 'document))
30 `(math ,(plugin-output-std-simplify "giac" (cAr t))))
31 ((match? t '(with "math-display" "true" :%1))
32 (giac-output-simplify (cAr t)))
33 ((match? t '(with "mode" "math" "math-display" "true" :%1))
34 `(math ,(giac-output-simplify (cAr t))))
35 ((func? t 'text 1)
36 `(text ,(giac-output-simplify (cAr t))))
37 ((func? t 'math 1)
38 `(math ,(giac-output-simplify (cAr t))))
39 ((func? t 'with 1)
40 (giac-output-simplify (cAr t)))
41 ((func? t 'with)
42 (rcons (cDr t) (giac-output-simplify (cAr t))))
43 ((and (func? t 'concat) (pair? (cdr t)) (giac-spaces? (cadr t)))
44 (giac-output-simplify (cons (car t) (cddr t))))
45 ((func? t 'concat)
46 (apply tmconcat (map giac-output-simplify (cdr t))))
47 (else (plugin-output-std-simplify "giac" t))))
48
49 (define (giac-contains-output? t)
50 (cond ((or (func? t 'equation*) (func? t 'image)) #t)
51 ((or (func? t 'concat) (func? t 'document))
52 (list-or (map giac-contains-output? (cdr t))))
53 ((and (func? t 'with) (nnull? (cdr t)))
54 (giac-contains-output? (cAr t)))
55 ((or (func? t 'text 1) (func? t 'math 1))
56 (giac-contains-output? (cAr t)))
57 (else #f)))
58
59 (tm-define (plugin-output-simplify name t)
60 (:require (== name "giac"))
61 ;;(display* "Simplify output " t "\n")
62 (display "Plugin output simplify:\n")
63 (display t)
64 (display "\n")
65 (if (func? t 'document)
66 (with u (list-find (cdr t) giac-contains-output?)
67 (if u (giac-output-simplify u) ""))
68 (giac-output-simplify t)))
69
70 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
71 ;; Insert Giac primitive
72 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
73
74 (define (giac-cursor-pos l)
75 (cond ((null? l) 0)
76 ((null? (cdr l)) 1)
77 ((and (== (car l) #\() (== (cadr l) #\))) 1)
78 ((and (== (car l) #\() (== (cadr l) #\,)) 1)
79 ((and (== (car l) #\,) (== (cadr l) #\))) 1)
80 ((and (== (car l) #\,) (== (cadr l) #\,)) 1)
81 (else (+ (giac-cursor-pos (cdr l)) 1))))
82
83 (define (giac-insert s)
84 (insert-go-to s (list (giac-cursor-pos (string->list s)))))
85
86 (define (giac-apply fun . opts)
87 (if (not-in-session?)
88 (script-apply fun (cadr opts))
89 (giac-insert (string-append fun (car opts)))))
90
91 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
92 ;; Giac menu
93 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
94
95 (menu-bind giac-functions-menu
96 (if (not-in-session?)
97 (link scripts-eval-menu)
98 ---)
99 (-> "Simplification"
100 ("Normalize" (giac-apply "normal" "()" 1))
101 ("Reduce rational" (giac-apply "ratnormal" "()" 1))
102 ("Factorize" (giac-apply "factor" "()" 1))
103 ("Decompose to partial fractions" (giac-apply "partfrac" "()" 1))
104 ("Simplify" (giac-apply "simplify" "()" 1))
105 ("Trigonometric simplification" (giac-apply "trigsimplify" "()" 1))
106 ("Reduce the number of non-rational parameters" (giac-apply "tsimplify" "()" 1)))
107 (-> "Solving"
108 ("Solve equations/inequalities" (giac-apply "solve" "()" 1))
109 ("Solve linear equations" (giac-apply "linsolve" "()" 2))
110 ("Solve recurrences" (giac-apply "rsolve" "()" 3))
111 ("Solve complex equations" (giac-apply "csolve" "()" 2))
112 ("Solve ODE" (giac-apply "desolve" "()" 2))
113 ("Solve Diophantine equation" (giac-apply "isolve" "()" 1)))
114 (-> "Plotting"
115 ("Function plot" (giac-apply "plotfunc" "()" 1))
116 ("Parametric function plot" (giac-apply "plotparam" "()" 1))
117 ("Polar plot" (giac-apply "plotpolar" "()" 1))
118 ("Implicit curve plot" (giac-apply "implicitplot" "()" 1))
119 ("Plot setup" (giac-apply "xyztrange" "()" 1)))
120 ---
121 (-> "Constants"
122 ("Euler's number" (giac-insert "e"))
123 ("Imaginary unit" (giac-insert "i"))
124 ("Pi" (giac-insert "pi"))
125 ("Euler-Mascheroni constant" (giac-insert "euler_gamma"))
126 ("Positive infinity" (giac-insert "+infinity"))
127 ("Negative infinity" (giac-insert "-infinity"))
128 ("Unsigned infinity" (giac-insert "infinity"))
129 ("Undefined symbol" (giac-insert "undef")))
130 (-> "Physical units"
131 (-> "Mass"
132 ("Atomic mass unit" (giac-insert "_u"))
133 ("Gram" (giac-insert "_g"))
134 ("Kilogram" (giac-insert "_kg"))
135 ("Metric ton" (giac-insert "_t"))
136 ("Short ton" (giac-insert "_ton"))
137 ("Long (UK) ton" (giac-insert "_tonUK"))
138 ("Grain" (giac-insert "_grain"))
139 ("Carat" (giac-insert "_ct"))
140 ("Pound" (giac-insert "_lb"))
141 ("Ounce" (giac-insert "_oz"))
142 ("UK fluid ounce" (giac-insert "_ozUK"))
143 ("US fluid ounce" (giac-insert "_ozfl"))
144 ("Troy pound" (giac-insert "_lbt"))
145 ("Troy ounce" (giac-insert "_ozt"))
146 ("Slug" (giac-insert "_slug"))
147 )
148 (-> "Length"
149 ("Meter" (giac-insert "_m"))
150 ("Centimeter" (giac-insert "_cm"))
151 ("Millimeter" (giac-insert "_mm"))
152 ("Kilometer" (giac-insert "_km"))
153 ("Inch" (giac-insert "_in"))
154 ("Mil" (giac-insert "_mil"))
155 ("Rod" (giac-insert "_rod"))
156 ("International foot" (giac-insert "_ft"))
157 ("Survey foot" (giac-insert "_ftUS"))
158 ("International yard" (giac-insert "_yd"))
159 ("International mile" (giac-insert "_mile"))
160 ("US statute mile" (giac-insert "_miUS"))
161 ("Nautical mile" (giac-insert "_mille"))
162 ("Angstrom" (giac-insert "_Angstrom"))
163 ("Astronomical unit" (giac-insert "_au"))
164 ("Chain" (giac-insert "_chain"))
165 ("Fathom" (giac-insert "_fath"))
166 ("Board foot" (giac-insert "_fbm"))
167 ("Fermi" (giac-insert "_fermi"))
168 ("Light year" (giac-insert "_lyr"))
169 ("Parsec" (giac-insert "_pc"))
170 )
171 (-> "Area"
172 ("Are" (giac-insert "_a"))
173 ("Hectare" (giac-insert "_ha"))
174 ("Acre" (giac-insert "_acre"))
175 ("Barn" (giac-insert "_b"))
176 ("Square international mile" (giac-insert "_mi^2"))
177 )
178 (-> "Volume"
179 ("Liter" (giac-insert "_l"))
180 ("Milliliter" (giac-insert "_ml"))
181 ("Barrel" (giac-insert "_bbl"))
182 ("Bushel" (giac-insert "_bu"))
183 ("US bushel" (giac-insert "_buUS"))
184 ("US cup" (giac-insert "_cu"))
185 ("Canadian gallon" (giac-insert "_galC"))
186 ("UK gallon" (giac-insert "_galUK"))
187 ("US gallon" (giac-insert "_galUS"))
188 ("US liquid pint" (giac-insert "_liqpt"))
189 ("UK pint" (giac-insert "_ptUK"))
190 ("US peck" (giac-insert "_pk"))
191 ("Quart" (giac-insert "_qt"))
192 ("Stere" (giac-insert "_st"))
193 ("Tablespoon" (giac-insert "_tbsp"))
194 ("Teaspoon" (giac-insert "_tsp"))
195 )
196 (-> "Angle"
197 ("Radian" (giac-insert "_rad"))
198 ("Tour (2π radians)" (giac-insert "_tr"))
199 ("Steradian" (giac-insert "_sr"))
200 ("Degree" (giac-insert "_deg"))
201 ("Minute of arc" (giac-insert "_arcmin"))
202 ("Second of arc" (giac-insert "_arcs"))
203 ("Grade" (giac-insert "_grad"))
204 )
205 (-> "Velocity"
206 ("Kilometers per hour" (giac-insert "_kph"))
207 ("Miles per hour" (giac-insert "_mph"))
208 ("Nautical miles per hour" (giac-insert "_knot"))
209 ("Revolutions per minute" (giac-insert "_rpm"))
210 )
211 (-> "Acceleration"
212 ("Meters per second squared" (giac-insert "_m*_s^-2"))
213 ("Gal" (giac-insert "_Gal"))
214 ("Standard freefall" (giac-insert "_ga"))
215 )
216 (-> "Force, weight"
217 ("Newton" (giac-insert "_N"))
218 ("Dyne" (giac-insert "_dyn"))
219 ("Poundal" (giac-insert "_pdl"))
220 ("Gram-force" (giac-insert "_gf"))
221 ("Pound-force" (giac-insert "_lbf"))
222 ("Kilopound-force" (giac-insert "_kip"))
223 )
224 (-> "Pressure"
225 ("Pascal" (giac-insert "_Pa"))
226 ("Atmosphere" (giac-insert "_atm"))
227 ("Bar" (giac-insert "_bar"))
228 ("Inches of water (60°F)" (giac-insert "_inH2O"))
229 ("Inches of mercury (0°C)" (giac-insert "_inHg"))
230 ("Millimeters of mercury (0°C)" (giac-insert "_mmHg"))
231 ("Pounds per square inch" (giac-insert "_psi"))
232 )
233 (-> "Energy, work, heat"
234 ("British thermal unit (BTU)" (giac-insert "_Btu"))
235 ("Joule" (giac-insert "_J"))
236 ("Erg" (giac-insert "_erg"))
237 ("Calorie" (giac-insert "_cal"))
238 ("Kilocalorie" (giac-insert "_Kcal"))
239 ("Electronvolt" (giac-insert "_eV"))
240 ("Megaelectronvolt" (giac-insert "_MeV"))
241 ("Watt-hour" (giac-insert "_Wh"))
242 ("Kilowatt-hour" (giac-insert "_kWh"))
243 ("Ton of coal equivalent" (giac-insert "_tec"))
244 ("Ton of oil equivalent" (giac-insert "_tep"))
245 ("Liter of oil equivalent" (giac-insert "_lep"))
246 ("Barrel of oil equivalent" (giac-insert "_bblep"))
247 ("EEC therm" (giac-insert "_therm"))
248 )
249 (-> "Power"
250 ("Watt" (giac-insert "_W"))
251 ("Megawatt" (giac-insert "_MW"))
252 ("Horsepower" (giac-insert "_hp"))
253 )
254 (-> "Temperature"
255 ("Kelvin" (giac-insert "_K"))
256 ("Rankine" (giac-insert "_Rankine"))
257 ("Degree Fahrenheit" (giac-insert "_degreeF"))
258 )
259 (-> "Radiation"
260 ("Becquerel" (giac-insert "_Bq"))
261 ("Curie" (giac-insert "_Ci"))
262 ("Gray" (giac-insert "_Gy"))
263 ("Roentgen" (giac-insert "_R"))
264 ("Sievert" (giac-insert "_Sv"))
265 ("Rad" (giac-insert "_rd"))
266 ("Rem" (giac-insert "_rem"))
267 )
268 (-> "Electricity"
269 ("Ampere" (giac-insert "_A"))
270 ("Farad" (giac-insert "_F"))
271 ("Faraday" (giac-insert "_Fdy"))
272 ("Henry" (giac-insert "_H"))
273 ("Ohm" (giac-insert "_Ohm"))
274 ("Siemens" (giac-insert "_S"))
275 ("Volt" (giac-insert "_V"))
276 )
277 (-> "Magnetic field"
278 ("Tesla" (giac-insert "_T"))
279 ("Weber" (giac-insert "_Wb"))
280 )
281 (-> "Time"
282 ("Second" (giac-insert "_s"))
283 ("Minute" (giac-insert "_mn"))
284 ("Hour" (giac-insert "_h"))
285 ("Day" (giac-insert "_d"))
286 ("Year" (giac-insert "_yr"))
287 )
288 (-> "Frequency"
289 ("Hertz" (giac-insert "_Hz"))
290 ("Megahertz" (giac-insert "_MHz"))
291 )
292 (-> "Viscosity"
293 ("Stokes" (giac-insert "_St"))
294 ("Poise" (giac-insert "_P"))
295 )
296 (-> "Illuminance"
297 ("Lumen" (giac-insert "_lm"))
298 ("Lux" (giac-insert "_lx"))
299 ("Lambert" (giac-insert "_lam"))
300 ("Candela" (giac-insert "_cd"))
301 ("Footcandle" (giac-insert "_fc"))
302 ("Footlambert" (giac-insert "_flam"))
303 ("Phot" (giac-insert "_ph"))
304 ("Stilb" (giac-insert "_sb"))
305 )
306 (-> "Substance amount"
307 ("Mole" (giac-insert "_mol"))
308 ("Gram-mole" (giac-insert "_gmol"))
309 ("Pound-mole" (giac-insert "_lbmol"))
310 )
311 (-> "Other"
312 ("Decibel" (giac-insert "_dB"))
313 ("Tex" (giac-insert "_tex"))
314 ("Unit conversion" (giac-apply "mksa" "()" 2))
315 ))
316 (-> "Physical constants"
317 ("Faraday constant" (giac-insert "_F_"))
318 ("Gravitational constant" (giac-insert "_G_"))
319 ("Reference intensity" (giac-insert "_I0_"))
320 ("Avogadro's number" (giac-insert "_NA_"))
321 ("Power at the surface of the Sun" (giac-insert "_PSun_"))
322 ("Radius of the Earth" (giac-insert "_REarth_"))
323 ("Radius of the Sun" (giac-insert "_RSun_"))
324 ("Universal gas constant" (giac-insert "_R_"))
325 ("Rydberg constant" (giac-insert "_Rinfinity_"))
326 ("Standard pressure" (giac-insert "_StdP_"))
327 ("Standard temperature" (giac-insert "_StdT_"))
328 ("Molar volume" (giac-insert "_Vm_"))
329 ("Bohr radius" (giac-insert "_a0_"))
330 ("Fine structure constant" (giac-insert "_alpha_"))
331 ("Wien displacement constant" (giac-insert "_c3_"))
332 ("Speed of light in vacuum" (giac-insert "_c_"))
333 ("Permittivity of vacuum" (giac-insert "_epsilon0_"))
334 ("Dielectric constant of Silicon dioxide" (giac-insert "_epsilonox_"))
335 ("Dielectric constant" (giac-insert "_epsilonsi_"))
336 ("Photon frequency" (giac-insert "_f0_"))
337 ("Acceleration of gravity" (giac-insert "_g_"))
338 ("Planck constant" (giac-insert "_h_"))
339 ("Dirac constant" (giac-insert "_hbar_"))
340 ("Boltzmann constant" (giac-insert "_k_"))
341 ("Photon wavelength" (giac-insert "_lambda0_"))
342 ("Mass of the Earth" (giac-insert "_mEarth_"))
343 ("Electron rest mass" (giac-insert "_me_"))
344 ("Electron charge" (giac-insert "_q_"))
345 ("Proton rest mass" (giac-insert "_mp_"))
346 ("Permeability of vacuum" (giac-insert "_mu0_"))
347 ("Bohr magneton" (giac-insert "_muB_"))
348 ("Nuclear magneton" (giac-insert "_muN_"))
349 ("Magnetic flux quantum" (giac-insert "_phi_"))
350 ("Duration of a sidereal day" (giac-insert "_sd_"))
351 ("Duration of a sidereal year" (giac-insert "_syr_"))
352 ("Stefan-Boltzmann constant" (giac-insert "_sigma_")))
353 ---
354 (-> "Real numbers"
355 ("Absolute value" (giac-apply "abs" "()" 1))
356 ("Maximal element" (giac-apply "max" "()" 1))
357 ("Minimal element" (giac-apply "min" "()" 1))
358 ("Sign function" (giac-apply "sign" "()" 1)))
359 (-> "Complex numbers"
360 ("Absolute value" (giac-apply "abs" "()" 1))
361 ("Argument" (giac-apply "arg" "()" 1))
362 ("Conjugate" (giac-apply "conj" "()" 1))
363 ("Imaginary part" (giac-apply "im" "()" 1))
364 ("Real part" (giac-apply "re" "()" 1)))
365 (-> "Elementary functions"
366 (-> "Exponential and logarithmic functions"
367 ("Exponential function" (giac-apply "exp" "()" 1))
368 ("Natural logarithm" (giac-apply "ln" "()" 1))
369 ("Common logarithm (base 10)" (giac-apply "log10" "()" 1)))
370 (-> "Trigonometric and cyclometric functions"
371 ("Sine" (giac-apply "sin" "()" 1))
372 ("Cosine" (giac-apply "cos" "()" 1))
373 ("Tangent" (giac-apply "tan" "()" 1))
374 ("Cotangent" (giac-apply "cot" "()" 1))
375 ("Arc sine" (giac-apply "asin" "()" 1))
376 ("Arc cosine" (giac-apply "acos" "()" 1))
377 ("Arc tangent" (giac-apply "atan")))
378 (-> "Hyperbolic functions"
379 ("Hyperbolic sine" (giac-apply "sinh" "()" 1))
380 ("Hyperbolic cosine" (giac-apply "cosh" "()" 1))
381 ("Hyperbolic tangent" (giac-apply "tanh" "()" 1))
382 ("Inverse hyperbolic sine" (giac-apply "asinh" "()" 1))
383 ("Inverse hyperbolic cosine" (giac-apply "acosh" "()" 1))
384 ("Inverse hyperbolic tangent" (giac-apply "atanh" "()" 1))))
385 (-> "Special functions"
386 ("Ai (Airy function)" (giac-apply "Airy_Ai" "()" 1))
387 ("Bi (Airy function)" (giac-apply "Airy_Bi" "()" 1))
388 ("Gamma" (giac-apply "Gamma" "()" 1))
389 ("Lambert W" (giac-apply "LambertW" "()" 1))
390 ("Psi" (giac-apply "Psi" "()" 1))
391 ("Zeta" (giac-apply "Zeta" "()" 1)))
392 (-> "Rewriting"
393 (-> "Exponentials and logarithms"
394 ("Hyperbolic to exponential" (giac-apply "hyp2exp" "()" 1))
395 ("Linearize exponentials" (giac-apply "lin" "()" 1))
396 ("Collect logarithms" (giac-apply "lncollect" "()" 1))
397 ("Complex exponential to sine and cosine" (giac-apply "sincos" "()" 1))
398 ("Trigonometric expression to exponential" (giac-apply "trig2exp" "()" 1))
399 ("Lower the number of non-rational variables" (giac-apply "tsimplify" "()" 1)))
400 (-> "Trigonometric"
401 ("Half-tangent" (giac-apply "halftan" "()" 1))
402 ("Tangent to sine/cosine" (giac-apply "tan2sincos" "()" 1))
403 ("Tangent to sine/cosine of double argument" (giac-apply "tan2sincos2" "()" 1))
404 ("Collect transcendental expressions" (giac-apply "tcollect" "()" 1))
405 ("Expand transcendental expressions" (giac-apply "texpand" "()" 1))
406 ("Simplify by privileging sine" (giac-apply "trigsin" "()" 1))
407 ("Simplify by privileging cosine" (giac-apply "trigcos" "()" 1))
408 ("Simplify by privileging tangent" (giac-apply "trigtan" "()" 1))
409 ("Trigonometric linearization" (giac-apply "tlin" "()" 1)))
410 (-> "Inverse trigonometric rewriting"
411 ("Arc cosine to arc sine" (giac-apply "acos2asin" "()" 1))
412 ("Arc cosine to arc tangent" (giac-apply "acos2atan" "()" 1))
413 ("Arc sine to arc cosine" (giac-apply "asin2acos" "()" 1))
414 ("Arc sine to arc tangent" (giac-apply "asin2atan" "()" 1))
415 ("Arc tangent to arc cosine" (giac-apply "atan2acos" "()" 1))
416 ("Arc tangent to arc sine" (giac-apply "atan2asin" "()" 1))))
417 ---
418 (-> "Integer arithmetic"
419 ("Greatest common divisor" (giac-apply "gcd" "()" 1))
420 ("Largest common multiple" (giac-apply "lcm" "()" 1))
421 ("Euler totient function" (giac-apply "euler" "()" 1))
422 ("Chinese remainders" (giac-apply "ichinrem" "()" 1))
423 ("Extended greatest common divisor" (giac-apply "iegcd" "()" 1))
424 ("Integer factorization" (giac-apply "ifactor" "()" 1))
425 ("Prime factors" (giac-apply "ifactors" "()" 1))
426 ("Quotient" (giac-apply "iquo" "()" 1))
427 ("Remainder" (giac-apply "irem" "()" 1))
428 ("Prime number testing" (giac-apply "is_prime" "()" 1))
429 ("Next prime" (giac-apply "nextprime" "()" 1))
430 ("Previous prime" (giac-apply "prevprime" "()" 1)))
431 (-> "Polynomial arithmetic"
432 ("Greatest common divisor" (giac-apply "gcd" "()" 1))
433 ("Largest common multiple" (giac-apply "lcm" "()" 1))
434 ("Chinese remainders" (giac-apply "chinrem" "()" 1))
435 ("Cyclotomic" (giac-apply "cyclotomic" "()" 1))
436 ("Divisors of a polynomial" (giac-apply "divis" "()" 1))
437 ("Extended greatest common divisor" (giac-apply "egcd" "()" 1))
438 ("Factorization" (giac-apply "factor" "()" 1))
439 ("Coefficients from roots" (giac-apply "pcoeff" "()" 1))
440 ("Evaluation from coefficients" (giac-apply "peval" "()" 1))
441 ("Roots from coefficients" (giac-apply "proot" "()" 1))
442 ("Quotient" (giac-apply "quo" "()" 1))
443 ("Remainder" (giac-apply "rem" "()" 1))
444 ("Quotient and remainder" (giac-apply "quorem" "()" 1))
445 ("Coefficients" (giac-apply "e2r" "()" 1))
446 ("Polynomial from coefficients" (giac-apply "r2e" "()" 1))
447 (-> "Orthogonal polynomials"
448 ("Hermite polynomial" (giac-apply "hermite" "()" 1))
449 ("Laguerre polynomial" (giac-apply "laguerre" "()" 1))
450 ("Legendre polynomial" (giac-apply "legendre" "()" 1))
451 ("Tchebyshev polynomial of the first kind" (giac-apply "tchebyshev1" "()" 1))
452 ("Tchebyshev polynomial of the second kind" (giac-apply "tchebyshev2" "()" 1))))
453 (-> "Interpolation"
454 ("Lagrange polynomial" (giac-apply "lagrange" "()" 1))
455 ("Spline interpolation" (giac-apply "spline" "()" 1))
456 ("Rational interpolation" (giac-apply "ratinterp" "()" 1))
457 ("Trigonometric interpolation" (giac-apply "triginterp" "()" 1)))
458 (-> "Curve fitting"
459 ("Linear regression" (giac-apply "linear_regression" "()" 1))
460 ("Polynomial regression" (giac-apply "polynomial_regression" "()" 1))
461 ("Exponential regression" (giac-apply "exponential_regression" "()" 1))
462 ("Logarithmic regression" (giac-apply "logarithmic_regression" "()" 1))
463 ("Logistic regression" (giac-apply "logistic_regression" "()" 1))
464 ("Fit polynomial to data" (giac-apply "fitpoly" "()" 1)))
465 (-> "Function approximation"
466 ("L2-norm polynomial approximation" (giac-apply "fitpoly" "()" 1))
467 ("Minimax polynomial approximation" (giac-apply "minimax" "()" 1)))
468 ---
469 (-> "Linear algebra"
470 (-> "Vectors"
471 ("Absolute value" (giac-apply "abs" "()" 1))
472 ("Norm" (giac-apply "norm" "()" 1))
473 ("L1 norm" (giac-apply "l1norm" "()" 1))
474 ("L2 norm" (giac-apply "l2norm" "()" 1))
475 ("Scalar product" (giac-apply "dot" "()" 1))
476 ("Vector product" (giac-apply "cross" "()" 1)))
477 (-> "Matrices"
478 ("Hadamard" (giac-apply "hadamard" "()" 1))
479 ("Inverse" (giac-apply "inv" "()" 1))
480 ("Trace" (giac-apply "trace" "()" 1))
481 ("Transconjugate" (giac-apply "trn" "()" 1))
482 ("Transpose" (giac-apply "tran" "()" 1))
483 ("Norm" (giac-apply "norm" "()" 1))
484 ---
485 ("Identity" (giac-apply "idn" "()" 1))
486 ("Hilbert" (giac-apply "hilbert" "()" 1))
487 ("Vandermonde" (giac-apply "vandermonde" "()" 1))
488 ("Random" (giac-apply "ranm" "()" 1)))
489 (-> "Eigenvalues and eigenvectors"
490 ("Eigenvectors" (giac-apply "egv" "()" 1))
491 ("Eigenvalues" (giac-apply "egvl" "()" 1))
492 ("Jordan form" (giac-apply "jordan" "()" 1)))
493 (-> "Matrix factorization"
494 ("Cholesky decomposition" (giac-apply "cholesky" "()" 1))
495 ("LU decomposition" (giac-apply "lu" "()" 1))
496 ("QR decomposition" (giac-apply "qr" "()" 1))
497 ("Schur decomposition" (giac-apply "schur" "()" 1))
498 ("Singular value decomposition" (giac-apply "svd" "()" 1)))
499 (-> "Gauss-Jordan pivot"
500 ("Basis" (giac-apply "basis" "()" 1))
501 ("Basis intersection" (giac-apply "ibasis" "()" 1))
502 ("Kernel" (giac-apply "ker" "()" 1))
503 ("Image" (giac-apply "image" "()" 1))
504 ("Row reduction to echelon form" (giac-apply "rref" "()" 1)))
505 (-> "Isometries"
506 ("Elements of a 2D or 3D isometry" (giac-apply "isom" "()" 1))
507 ("Isometry matrix" (giac-apply "mkisom()"))))
508 (-> "Calculus"
509 ("Limit" (giac-apply "limit" "()" 2))
510 ("Differentiate" (giac-apply "diff" "()" 1))
511 ("Integrate" (giac-apply "integrate" "()" 1))
512 ("Gradient" (giac-apply "grad" "()" 1))
513 ("Divergence" (giac-apply "divergence" "()" 1))
514 ("Curl" (giac-apply "curl" "()" 1))
515 ("Hessian" (giac-apply "hessian" "()" 1))
516 ("Laplacian" (giac-apply "laplacian" "()" 1))
517 ("Local extrema" (giac-apply "extrema" "()" 1))
518 ("Test convexity" (giac-apply "convex" "()" 1))
519 ("Implicit differentiation" (giac-apply "implicitdiff" "()" 1))
520 ("Taylor expansion" (giac-apply "taylor" "()" 1))
521 ("Series expansion" (giac-apply "series" "()" 1)))
522 (-> "Calculus of variations"
523 ("Euler-Lagrange equations" (giac-apply "euler_lagrange" "()" 1))
524 ("Jacobi equation" (giac-apply "jacobi_equation" "()" 1))
525 ("Conjugate equation" (giac-apply "conjugate_equation" "()" 1)))
526 (-> "Numeric analysis"
527 ("Newton method" (giac-apply "newton" "()" 1))
528 ("Solve equations" (giac-apply "fsolve" "()" 2))
529 ("Solve differential equations" (giac-apply "odesolve" "()" 3))
530 ("Solve boundary-value problems" (giac-apply "bvpsolve" "()" 3))
531 ("Numerical integration" (giac-apply "romberg" "()" 4))
532 ("Numerical differentiation" (giac-apply "numdiff" "()" 3)))
533 ---
534 (-> "Probability and statistics"
535 (-> "Statistics"
536 ("Mean" (giac-apply "mean" "()" 1))
537 ("Variance" (giac-apply "variance" "()" 1))
538 ("Standard deviation" (giac-apply "stddev" "()" 1))
539 ("Population standard deviation" (giac-apply "stdDev" "()" 1))
540 ("Median" (giac-apply "median" "()" 1))
541 ("Quartiles" (giac-apply "quartiles" "()" 1))
542 ("Quantiles" (giac-apply "quantiles" "()" 2))
543 ("Classes" (giac-apply "classes" "()" 1))
544 ("Frequencies" (giac-apply "frequencies" "()" 1))
545 ("Cumulative frequencies" (giac-apply "cumulated_frequencies" "()" 1))
546 ("Covariance" (giac-apply "covariance" "()" 1))
547 ("Correlation" (giac-apply "correlation" "()" 1))
548 (-> "Plotting"
549 (-> "Regression plot"
550 ("Linear" (giac-apply "linear_regression_plot" "()" 1))
551 ("Polynomial" (giac-apply "polynomial_regression_plot" "()" 1))
552 ("Exponential" (giac-apply "exponential_regression_plot" "()" 1))
553 ("Logarithmic" (giac-apply "logarithmic_regression_plot" "()" 1))
554 ("Logistic" (giac-apply "logistic_regression_plot" "()" 1)))
555 ("Sequence plot" (giac-apply "plotseq" "()" 1))
556 ("Polygonal path" (giac-apply "plotlist" "()" 1))
557 ("Scatter plot" (giac-apply "scatterplot" "()" 1))
558 ("Stem plot" (giac-apply "batons" "()" 1))
559 ("Box plot" (giac-apply "boxwhisker" "()" 1))
560 ("Bar chart" (giac-apply "bar_plot" "()" 1))
561 ("Pie chart" (giac-apply "camembert" "()" 1))
562 ("Histogram" (giac-apply "histogram" "()" 1))))
563 (-> "Probability distributions"
564 (-> "Density functions"
565 ("Uniform" (giac-apply "uniformd" "()" 3))
566 ("Binomial" (giac-apply "binomial" "()" 3))
567 ("Negative binomial" (giac-apply "negbinomial" "()" 3))
568 ("Multinomial" (giac-apply "multinomial" "()" 3))
569 ("Poisson" (giac-apply "poisson" "()" 2))
570 ("Normal" (giac-apply "normald" "()" 3))
571 ("Student" (giac-apply "studentd" "()" 2))
572 ("Chi-squared" (giac-apply "chisquare" "()" 2))
573 ("Fisher-Snédécor" (giac-apply "fisherd" "()" 3))
574 ("Gamma" (giac-apply "gammad" "()" 3))
575 ("Beta" (giac-apply "betad" "()" 3))
576 ("Geometric" (giac-apply "geometric" "()" 2))
577 ("Cauchy" (giac-apply "cauhcyd" "()" 3))
578 ("Exponential" (giac-apply "exponentiald" "()" 2))
579 ("Weibull" (giac-apply "weibulld" "()" 3))
580 ("Kolmogorov-Smirnov" (giac-apply "kolmogorovd" "()" 1)))
581 ("Moment generating function" (giac-apply "mgf" "()" 1))
582 ("Cumulative distribution function" (giac-apply "cdf" "()" 1))
583 ("Inverse distribution function" (giac-apply "icdf" "()" 1))
584 ("Kernel density estimation" (giac-apply "kde" "()" 1))
585 ("Distribution fitting" (giac-apply "fitdistr" "()" 2)))
586 (-> "Random numbers"
587 ("Random variable" (giac-apply "randvar" "()" 1))
588 ("Sampling random numbers" (giac-apply "sample" "()" 1))
589 ("Initializing random number generator" (giac-apply "srand" "()" 1))
590 ("Random vectors" (giac-apply "randvector" "()" 1))
591 ("Random matrices" (giac-apply "randmatrix" "()" 1)))
592 (-> "Hypothesis testing"
593 ("Z-test mean testing" (giac-apply "normalt" "()" 3))
594 ("T-test mean testing" (giac-apply "studentt" "()" 3))
595 ("Chi-squared distribution testing" (giac-apply "chisquaret" "()" 1))
596 ("Kolmogorov-Smirnov distribution testing" (giac-apply "kolmogorovt" "()" 2))))
597 (-> "Graph theory"
598 (-> "Constructing graphs"
599 (-> "General graphs"
600 ("Undirected graph" (giac-apply "graph" "()" 1))
601 ("Directed graph" (giac-apply "digraph" "()" 1)))
602 (-> "Cycle and path graphs"
603 ("Cycle graph" (giac-apply "cycle_graph" "()" 1))
604 ("Path graph" (giac-apply "path_graph" "()" 1))
605 ("Trail" (giac-apply "trail" "()" 1)))
606 (-> "Complete graphs"
607 ("Complete (multipartite) graph" (giac-apply "complete_graph" "()" 1))
608 ("Complete binary tree" (giac-apply "complete_binary_tree" "()" 1))
609 ("Complete k-ary tree" (giac-apply "complete_kary_tree" "()" 2)))
610 (-> "Sequence graphs"
611 ("Sequence to graph" (giac-apply "sequence_graph" "()" 1))
612 ("Test for graphic sequence" (giac-apply "is_graphic_sequence" "()" 1)))
613 (-> "Intersection graphs"
614 ("Interval graph" (giac-apply "interval_graph" "()" 1))
615 ("Kneser graph" (giac-apply "kneser_graph" "()" 2)))
616 (-> "Special graphs"
617 ("Hypercube graph" (giac-apply "hypercube_graph" "()" 1))
618 ("Star graph" (giac-apply "star_graph" "()" 1))
619 ("Wheel graph" (giac-apply "wheel_graph" "()" 1))
620 ("Web graph" (giac-apply "web_graph" "()" 2))
621 ("Prism graph" (giac-apply "prism_graph" "()" 1))
622 ("Antiprism_graph" (giac-apply "antiprism_graph" "()" 1))
623 ("Grid graph" (giac-apply "grid_graph" "()" 2))
624 ("Sierpiński graph" (giac-apply "sierpinski_graph" "()" 2))
625 ("Generalized Petersen graph" (giac-apply "petersen_graph" "()" 2))
626 ("LCF graph" (giac-apply "lcf_graph" "()" 1)))
627 (-> "Isomorphic copies"
628 ("Isomorphic copy from permutation" (giac-apply "isomorphic_copy" "()" 2))
629 ("Permute vertices" (giac-apply "permute_vertices" "()" 2))
630 ("Relabel vertices" (giac-apply "relabel_vertices" "()" 2)))
631 (-> "Subgraphs"
632 ("Extract subgraph" (giac-apply "subgraph" "()" 2))
633 ("Induced subgraph" (giac-apply "induced_subgraph" "()" 2))
634 ("Underlying graph" (giac-apply "underlying_graph" "()" 1))
635 ("Fundamental cycles" (giac-apply "cycle_basis" "()" 1))
636 ("Find cycles in digraph" (giac-apply "find_cycles" "()" 1)))
637 (-> "Operations on graphs"
638 ("Graph complement" (giac-apply "graph_complement" "()" 1))
639 ("Seidel switch" (giac-apply "seidel_switch" "()" 1))
640 ("Transpose graph" (giac-apply "reverse_graph" "()" 1))
641 ("Graph union" (giac-apply "graph_union" "()" 2))
642 ("Disjoint union" (giac-apply "disjoint_union" "()" 2))
643 ("Join two graphs" (giac-apply "graph_join" "()" 2))
644 ("Power graph" (giac-apply "graph_power" "()" 2))
645 ("Cartesian product" (giac-apply "cartesian_product" "()" 2))
646 ("Tensor product" (giac-apply "tensor_product" "()" 2))
647 ("Transitive closure" (giac-apply "transitive_closure" "()" 1))
648 ("Line graph" (giac-apply "line_graph" "()" 1))
649 ("Plane dual" (giac-apply "plane_dual" "()" 1))
650 ("Truncate" (giac-apply "truncate_graph" "()" 1)))
651 (-> "Random graphs"
652 ("Random graph" (giac-apply "random_graph" "()" 1))
653 ("Random digraph" (giac-apply "random_digraph" "()" 1))
654 ("Random tree" (giac-apply "random_tree" "()" 1))
655 ("Random planar graph" (giac-apply "random_planar_graph" "()" 1))
656 ("Random graph from sequence" (giac-apply "random_sequence_graph" "()" 1))
657 ("Random regular graph" (giac-apply "random_regular_graph" "()" 2))
658 ("Random tournament" (giac-apply "random_tournament" "()" 1))
659 ("Random network" (giac-apply "random_network" "()" 2))
660 ("Randomize edge weights" (giac-apply "assign_edge_weights" "()" 2))))
661 (-> "Modifying graphs"
662 (-> "Promoting to directed/weighted graphs"
663 ("Convert edges to arcs" (giac-apply "make_directed" "()" 2))
664 ("Assign weights to edges" (giac-apply "make_weighted" "()" 2)))
665 (-> "Modifying vertices"
666 ("Add vertex" (giac-apply "add_vertex" "()" 2))
667 ("Remove vertex" (giac-apply "delete_vertex" "()" 2)))
668 (-> "Modifying edges"
669 ("Add edge" (giac-apply "add_edge" "()" 2))
670 ("Remove edge" (giac-apply "delete_edge" "()" 2))
671 ("Add arc" (giac-apply "add_arc" "()" 2))
672 ("Remove arc" (giac-apply "delete_arc" "()" 2))
673 ("Set edge weight" (giac-apply "set_edge_weight" "()" 3))
674 ("Edge weight" (giac-apply "get_edge_weight" "()" 2))
675 ("Contract edge" (giac-apply "contract_edge" "()" 2))
676 ("Subdivide edges" (giac-apply "subdivide_edges" "()" 2)))
677 (-> "Attributes"
678 ("Graph attribute" (giac-apply "get_graph_attribute" "()" 2))
679 ("List graph attributes" (giac-apply "list_graph_attributes" "()" 1))
680 ("Set graph attribute" (giac-apply "set_graph_attribute" "()" 3))
681 ---
682 ("Vertex attribute" (giac-apply "get_vertex_attribute" "()" 3))
683 ("List vertex attributes" (giac-apply "list_vertex_attributes" "()" 2))
684 ("Set vertex attribute" (giac-apply "set_vertex_attribute" "()" 4))
685 ---
686 ("Edge attribute" (giac-apply "get_edge_attribute" "()" 3))
687 ("List edge attributes" (giac-apply "list_edge_attributes" "()" 2))
688 ("Set edge attribute" (giac-apply "set_edge_attribute" "()" 4))))
689 (-> "Import & export"
690 ("Load graph from dot file" (giac-apply "import_graph" "()" 1))
691 ("Write graph to dot file" (giac-apply "export_graph" "()" 2)))
692 (-> "Graph properties"
693 (-> "Basic"
694 ("Vertex degree" (giac-apply "vertex_degree" "()" 2))
695 ("Get edges incident to vertex" (giac-apply "incident_edges" "()" 2)))
696 (-> "Algebraic"
697 ("Adjacency matrix" (giac-apply "adjacency_matrix" "()" 1))
698 ("Weight matrix" (giac-apply "weight_matrix" "()" 1))
699 ("Incidence matrix" (giac-apply "incidence_matrix" "()" 1))
700 ("Laplacian matrix" (giac-apply "laplacian_matrix" "()" 1))
701 ("Characteristic polynomial" (giac-apply "graph_charpoly" "()" 1))
702 ("Graph spectrum" (giac-apply "graph_spectrum" "()" 1))
703 ("Seidel spectrum" (giac-apply "seidel_spectrum" "()" 1)))
704 (-> "Isomorphism"
705 ("Test graph isomorphism" (giac-apply "is_isomorphic" "()" 2))
706 ("Test subgraph isomorphism" (giac-apply "is_subgraph_isomorphic" "()" 1))
707 ("Canonical labeling" (giac-apply "canonical_labeling" "()" 1))
708 ("Automorphisms" (giac-apply "graph_automorphisms" "()" 1)))
709 (-> "Polynomials"
710 ("Tutte polynomial" (giac-apply "tutte_polynomial" "()" 1))
711 ("Chromatic polynomial" (giac-apply "chromatic_polynomial" "()" 1))
712 ("Flow polynomial" (giac-apply "flow_polynomial" "()" 1))
713 ("Reliability polynomial" (giac-apply "reliability_polynomial" "()" 1)))
714 (-> "Connectivity"
715 ("Vertex connectivity" (giac-apply "vertex_connectivity" "()" 1))
716 ("Edge connectivity" (giac-apply "edge_connectivity" "()" 1))
717 ("Graph rank" (giac-apply "graph_rank" "()" 1))
718 ("Articulation points" (giac-apply "articulation_points" "()" 1))
719 ("Connected components" (giac-apply "connected_components" "()" 1))
720 ("Strongly connected components" (giac-apply "strongly_connected_components" "()" 1))
721 ("Biconnected components" (giac-apply "biconnected_components" "()" 1)))
722 (-> "Trees"
723 ("Tree height" (giac-apply "tree_height" "()" 1))
724 ("Lowest common ancestor" (giac-apply "line_graph" "()" 3)))
725 (-> "Networks"
726 ("Maximum flow" (giac-apply "maxflow" "()" 3))
727 ("Minimum cut" (giac-apply "minimum_cut" "()" 3))
728 ("Clustering coefficient" (giac-apply "clustering_coefficient" "()" 1))
729 ("Network transitivity" (giac-apply "network_transitivity" "()" 1)))
730 (-> "Distance in graphs"
731 ("Vertex distance" (giac-apply "vertex_distance" "()" 3))
732 ("All-pairs vertex distance" (giac-apply "allpairs_distance" "()" 1))
733 ("Graph diameter" (giac-apply "graph_diameter" "()" 1))
734 ("Girth" (giac-apply "girth" "()" 1)))
735 (-> "Acyclic graphs"
736 ("Topologic sorting" (giac-apply "topologic_sort" "()" 1))
737 ("st-ordering" (giac-apply "st_ordering" "()" 3))
738 ("Graph condensation" (giac-apply "condensation" "()" 1)))
739 (-> "Matching"
740 ("Maximum matching" (giac-apply "maximum_matching" "()" 1))
741 ("Maximum matching in bipartite graph" (giac-apply "bipartite_matching" "()" 1)))
742 (-> "Cliques"
743 ("Maximal cliques" (giac-apply "find_cliques" "()" 1))
744 ("Maximum clique" (giac-apply "maximum_clique" "()" 1))
745 ("Maximum independent set" (giac-apply "maximum_independent_set" "()" 1))
746 ("Clique cover" (giac-apply "clique_cover" "()" 1))
747 ("Clique cover number" (giac-apply "clique_cover_number" "()" 1)))
748 (-> "Coloring"
749 ("Greedy vertex coloring" (giac-apply "greedy_color" "()" 1))
750 ("Minimal vertex coloring" (giac-apply "minimal_vertex_coloring" "()" 1))
751 ("Chromatic number" (giac-apply "chromatic_number" "()" 1))
752 ("Minimal edge coloring" (giac-apply "minimal_edge_coloring" "()" 1))))
753 (-> "Traversing graphs"
754 (-> "Optimal routing"
755 ("Shortest path in unweighted graph" (giac-apply "shortest_path" "()" 3))
756 ("Cheapest path in weighted graph" (giac-apply "dijkstra" "()" 3))
757 ("k-shortest paths" (giac-apply "kspaths" "()" 4))
758 ("Shortest tour" (giac-apply "traveling_salesman" "()" 1)))
759 (-> "Spanning trees"
760 ("Spanning tree" (giac-apply "spanning_tree" "()" 1))
761 ("Number of spanning trees" (giac-apply "number_of_spanning_trees" "()" 1))
762 ("Minimal spanning tree" (giac-apply "minimal_spanning_tree" "()" 1))))
763 (-> "Visualizing graphs"
764 ("Draw graph" (giac-apply "draw_graph" "()" 1))
765 ("Set vertex positions" (giac-apply "set_vertex_positions" "()" 2))
766 ("Highlight vertex" (giac-apply "highlight_vertex" "()" 2))
767 ("Highlight edges" (giac-apply "highlight_edges" "()" 2))
768 ("Highlight trail" (giac-apply "highlight_trail" "()" 2))
769 ("Highlight subgraph" (giac-apply "highlight_subgraph" "()" 2))))
770 (-> "Optimization"
771 ("Minimize" (giac-apply "minimize" "()" 2))
772 ("Maximize" (giac-apply "maximize" "()" 2))
773 ("Solve linear programming problem" (giac-apply "lpsolve" "()" 2))
774 ("Solve nonlinear programming problem" (giac-apply "nlpsolve" "()" 2))
775 ("Solve transportation problem" (giac-apply "tpsolve" "()" 3)))
776 (-> "Signal processing"
777 ("Root mean square (RMS)" (giac-apply "rms" "()" 1))
778 ("Cross-correlation" (giac-apply "cross_correlation" "()" 2))
779 ("Auto-correlation" (giac-apply "auto_correlation" "()" 1))
780 ("Convolution" (giac-apply "convolution" "()" 2))
781 ("Clamp range" (giac-apply "threshold" "()" 3))
782 (-> "Filter"
783 ("Low-pass" (giac-apply "lowpass" "()" 2))
784 ("High-pass" (giac-apply "highpass" "()" 2))
785 ("Moving average" (giac-apply "moving_average" "()" 2)))
786 (-> "Common functions"
787 ("Rectangular function" (giac-apply "rect" "()" 1))
788 ("Boxcar function" (giac-apply "boxcar" "()" 3))
789 ("Triangular function" (giac-apply "tri" "()" 1))
790 ("Sampling function" (giac-apply "sinc" "()" 1))
791 ("Step function" (giac-apply "Heaviside" "()" 1))
792 ("Dirac delta function" (giac-apply "Dirac" "()" 1)))
793 (-> "Window functions"
794 ("Bartlett-Hann" (giac-apply "bartlett_hann_window" "()" 1))
795 ("Blackman" (giac-apply "blackman_window" "()" 1))
796 ("Blackman-Harris" (giac-apply "blackman_harris_window" "()" 1))
797 ("Bohman" (giac-apply "bohman_window" "()" 1))
798 ("Cosine" (giac-apply "cosine_window" "()" 1))
799 ("Gaussian" (giac-apply "gaussian_window" "()" 1))
800 ("Hamming" (giac-apply "hamming_window" "()" 1))
801 ("Hann" (giac-apply "hann_window" "()" 1))
802 ("Hann-Poisson" (giac-apply "hann_poisson_window" "()" 1))
803 ("Parzen" (giac-apply "parzen_window" "()" 1))
804 ("Poisson" (giac-apply "poisson_window" "()" 1))
805 ("Riemann" (giac-apply "riemann_window" "()" 1))
806 ("Triangular" (giac-apply "triangle_window" "()" 1))
807 ("Tukey" (giac-apply "tukey_window" "()" 1))
808 ("Welch" (giac-apply "welch_window" "()" 1)))
809 (-> "Transformations"
810 ("Fourier cosine coefficient" (giac-apply "fourier_an" "()" 1))
811 ("Fourier sine coefficient" (giac-apply "fourier_bn" "()" 1))
812 ("Fourier coefficient" (giac-apply "fourier_cn" "()" 1))
813 ("Laplace transform" (giac-apply "laplace" "()" 1))
814 ("Inverse Laplace transform" (giac-apply "ilaplace" "()" 1))
815 ("Fourier transform" (giac-apply "fourier" "()" 1))
816 ("Inverse Fourier transform" (giac-apply "ifourier" "()" 1))
817 ("Fast Fourier Transform (FFT)" (giac-apply "fft" "()" 1))
818 ("Inverse FFT" (giac-apply "ifft" "()" 1))
819 ("Z-transform" (giac-apply "ztrans" "()" 1)))
820 (-> "Audio tools"
821 ("Create audio clip" (giac-apply "createwav" "()" 1))
822 ("Read audio from file" (giac-apply "readwav" "()" 1))
823 ("Write audio to file" (giac-apply "writewav" "()" 2))
824 ("Stereo to mono" (giac-apply "stereo2mono" "()" 1))
825 ("Resample" (giac-apply "resample" "()" 1))
826 ("Show waveform" (giac-apply "plotwav" "()" 1))
827 ("Show spectrum" (giac-apply "plotspectrum" "()" 1))))
828
829 (if (not-in-session?)
830 ---
831 (link scripts-eval-toggle-menu)))
832
833 (menu-bind plugin-menu
834 (:require (or (in-giac?) (and (not-in-session?) (giac-scripts?))))
835 (=> "Giac" (link giac-functions-menu)))