"Fossies" - the Fresh Open Source Software Archive  

Source code changes of the file "plugins/giac/progs/giac-menus.scm" between
TeXmacs-2.1.1-src.tar.gz and TeXmacs-2.1.2-src.tar.gz

About: GNU TeXmacs is a scientific editing platform designed to create beautiful technical documents using a wysiwyg interface.

giac-menus.scm  (TeXmacs-2.1.1-src):giac-menus.scm  (TeXmacs-2.1.2-src)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ;;
;; MODULE : giac-menus.scm ;; MODULE : giac-menus.scm
;; DESCRIPTION : Giac menus ;; DESCRIPTION : Giac menus
;; COPYRIGHT : (C) 1999 Bernard Parisse and Joris van der Hoeven ;; COPYRIGHT : (C) 1999 Bernard Parisse and Joris van der Hoeven
;; 2021 Luka Marohnić
;; ;;
;; This software falls under the GNU general public license version 3 or later. ;; This software falls under the GNU general public license version 3 or later.
;; It comes WITHOUT ANY WARRANTY WHATSOEVER. For details, see the file LICENSE ;; It comes WITHOUT ANY WARRANTY WHATSOEVER. For details, see the file LICENSE
;; in the root directory or <http://www.gnu.org/licenses/gpl-3.0.html>. ;; in the root directory or <http://www.gnu.org/licenses/gpl-3.0.html>.
;; ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(texmacs-module (giac-menus)) (texmacs-module (giac-menus)
(:use (utils plugins plugin-cmd)
(doc help-funcs)
(dynamic scripts-edit)
(dynamic session-menu)
(convert tools tmconcat)))
(define (giac-spaces? t)
(and (string? t) (in? t (list "" " " " " " " " "))))
(define (giac-output-simplify t)
;;(display* "Simplify " t "\n")
(cond ((and (func? t 'concat) (== (length t) 4) (func? (cadr t) 'htab) (func?
(caddr t) 'image))
(plugin-output-std-simplify "giac" (caddr t)))
((and (func? t 'equation*) (func? (cAr t) 'document))
`(math ,(plugin-output-std-simplify "giac" (cAr t))))
((match? t '(with "math-display" "true" :%1))
(giac-output-simplify (cAr t)))
((match? t '(with "mode" "math" "math-display" "true" :%1))
`(math ,(giac-output-simplify (cAr t))))
((func? t 'text 1)
`(text ,(giac-output-simplify (cAr t))))
((func? t 'math 1)
`(math ,(giac-output-simplify (cAr t))))
((func? t 'with 1)
(giac-output-simplify (cAr t)))
((func? t 'with)
(rcons (cDr t) (giac-output-simplify (cAr t))))
((and (func? t 'concat) (pair? (cdr t)) (giac-spaces? (cadr t)))
(giac-output-simplify (cons (car t) (cddr t))))
((func? t 'concat)
(apply tmconcat (map giac-output-simplify (cdr t))))
(else (plugin-output-std-simplify "giac" t))))
(define (giac-contains-output? t)
(cond ((or (func? t 'equation*) (func? t 'image)) #t)
((or (func? t 'concat) (func? t 'document))
(list-or (map giac-contains-output? (cdr t))))
((and (func? t 'with) (nnull? (cdr t)))
(giac-contains-output? (cAr t)))
((or (func? t 'text 1) (func? t 'math 1))
(giac-contains-output? (cAr t)))
(else #f)))
(tm-define (plugin-output-simplify name t)
(:require (== name "giac"))
;;(display* "Simplify output " t "\n")
(display "Plugin output simplify:\n")
(display t)
(display "\n")
(if (func? t 'document)
(with u (list-find (cdr t) giac-contains-output?)
(if u (giac-output-simplify u) ""))
(giac-output-simplify t)))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Insert Giac primitive ;; Insert Giac primitive
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (giac-cursor-pos l) (define (giac-cursor-pos l)
(cond ((null? l) 0) (cond ((null? l) 0)
((null? (cdr l)) 1) ((null? (cdr l)) 1)
((and (== (car l) #\() (== (cadr l) #\))) 1) ((and (== (car l) #\() (== (cadr l) #\))) 1)
((and (== (car l) #\() (== (cadr l) #\,)) 1) ((and (== (car l) #\() (== (cadr l) #\,)) 1)
((and (== (car l) #\,) (== (cadr l) #\))) 1) ((and (== (car l) #\,) (== (cadr l) #\))) 1)
((and (== (car l) #\,) (== (cadr l) #\,)) 1) ((and (== (car l) #\,) (== (cadr l) #\,)) 1)
(else (+ (giac-cursor-pos (cdr l)) 1)))) (else (+ (giac-cursor-pos (cdr l)) 1))))
(define (giac-insert s) (define (giac-insert s)
(insert-go-to s (list (giac-cursor-pos (string->list s))))) (insert-go-to s (list (giac-cursor-pos (string->list s)))))
(define (giac-apply fun . opts)
(if (not-in-session?)
(script-apply fun (cadr opts))
(giac-insert (string-append fun (car opts)))))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Giac menu ;; Giac menu
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(menu-bind giac-functions-menu (menu-bind giac-functions-menu
("Normal" (giac-insert "normal()")) (if (not-in-session?)
("Factor" (giac-insert "factor()")) (link scripts-eval-menu)
("Simplify" (giac-insert "simplify()")) ---)
("Partfrac" (giac-insert "partfrac()")) (-> "Simplification"
--- ("Normalize" (giac-apply "normal" "()" 1))
(-> "Plot" ("Reduce rational" (giac-apply "ratnormal" "()" 1))
("Plot setup" (giac-insert "xyztrange()")) ("Factorize" (giac-apply "factor" "()" 1))
("Plot function" (giac-insert "plotfunc()")) ("Decompose to partial fractions" (giac-apply "partfrac" "()" 1))
("Plot parametric function" (giac-insert "plotparam()")) ("Simplify" (giac-apply "simplify" "()" 1))
("Polar plot" (giac-insert "plotpolar()")) ("Trigonometric simplification" (giac-apply "trigsimplify" "()" 1))
("Sequence plot" (giac-insert "plotseq()"))) ("Reduce the number of non-rational parameters" (giac-apply "tsimplify" "(
)" 1)))
(-> "Solving"
("Solve equations/inequalities" (giac-apply "solve" "()" 1))
("Solve linear equations" (giac-apply "linsolve" "()" 2))
("Solve recurrences" (giac-apply "rsolve" "()" 3))
("Solve complex equations" (giac-apply "csolve" "()" 2))
("Solve ODE" (giac-apply "desolve" "()" 2))
("Solve Diophantine equation" (giac-apply "isolve" "()" 1)))
(-> "Plotting"
("Function plot" (giac-apply "plotfunc" "()" 1))
("Parametric function plot" (giac-apply "plotparam" "()" 1))
("Polar plot" (giac-apply "plotpolar" "()" 1))
("Implicit curve plot" (giac-apply "implicitplot" "()" 1))
("Plot setup" (giac-apply "xyztrange" "()" 1)))
--- ---
(-> "Constants" (-> "Constants"
("e" (giac-insert "e")) ("Euler's number" (giac-insert "e"))
("i" (giac-insert "i")) ("Imaginary unit" (giac-insert "i"))
("pi" (giac-insert "pi")) ("Pi" (giac-insert "pi"))
("+infinity" (giac-insert "+infinity")) ("Euler-Mascheroni constant" (giac-insert "euler_gamma"))
("-infinity" (giac-insert "-infinity")) ("Positive infinity" (giac-insert "+infinity"))
("infinity" (giac-insert "infinity")) ("Negative infinity" (giac-insert "-infinity"))
("undef" (giac-insert "undef"))) ("Unsigned infinity" (giac-insert "infinity"))
(-> "Real" ("Undefined symbol" (giac-insert "undef")))
("Absolute value" (giac-insert "abs()")) (-> "Physical units"
("Factorial" (giac-insert "factorial()")) (-> "Mass"
("Maximal element" (giac-insert "max()")) ("Atomic mass unit" (giac-insert "_u"))
("Minimal element" (giac-insert "min()")) ("Gram" (giac-insert "_g"))
("Sign function" (giac-insert "sign()"))) ("Kilogram" (giac-insert "_kg"))
(-> "Complex" ("Metric ton" (giac-insert "_t"))
("Absolute value" (giac-insert "abs()")) ("Short ton" (giac-insert "_ton"))
("Argumennt" (giac-insert "arg()")) ("Long (UK) ton" (giac-insert "_tonUK"))
("Conjugate" (giac-insert "conj()")) ("Grain" (giac-insert "_grain"))
("Imaginary part" (giac-insert "im()")) ("Carat" (giac-insert "_ct"))
("Real part" (giac-insert "re()"))) ("Pound" (giac-insert "_lb"))
(-> "Exponential and logarithmic functions" ("Ounce" (giac-insert "_oz"))
("Exponential function" (giac-insert "exp()")) ("UK fluid ounce" (giac-insert "_ozUK"))
("Natural logarithm" (giac-insert "ln()")) ("US fluid ounce" (giac-insert "_ozfl"))
("Common logarithm (base 10)" (giac-insert "log10()"))) ("Troy pound" (giac-insert "_lbt"))
(-> "Trigonometric and cyclometric functions" ("Troy ounce" (giac-insert "_ozt"))
("Sine" (giac-insert "sin()")) ("Slug" (giac-insert "_slug"))
("Cosine" (giac-insert "cos()")) )
("Tangent" (giac-insert "tan()")) (-> "Length"
("Cotangent" (giac-insert "cot()")) ("Meter" (giac-insert "_m"))
("Arcsine" (giac-insert "asin()")) ("Centimeter" (giac-insert "_cm"))
("Arccosine" (giac-insert "acos()")) ("Millimeter" (giac-insert "_mm"))
("Arctangent" (giac-insert "atan()"))) ("Kilometer" (giac-insert "_km"))
(-> "Hyperbolic functions" ("Inch" (giac-insert "_in"))
("Hyperbolic sine" (giac-insert "sinh()")) ("Mil" (giac-insert "_mil"))
("Hyperbolic cosine" (giac-insert "cosh()")) ("Rod" (giac-insert "_rod"))
("Hyperbolic tangent" (giac-insert "tanh()")) ("International foot" (giac-insert "_ft"))
("Inverse hyperbolic sine" (giac-insert "asinh()")) ("Survey foot" (giac-insert "_ftUS"))
("Inverse hyperbolic cosine" (giac-insert "acosh()")) ("International yard" (giac-insert "_yd"))
("Inverse hyperbolic tangent" (giac-insert "atanh()"))) ("International mile" (giac-insert "_mile"))
("US statute mile" (giac-insert "_miUS"))
("Nautical mile" (giac-insert "_mille"))
("Angstrom" (giac-insert "_Angstrom"))
("Astronomical unit" (giac-insert "_au"))
("Chain" (giac-insert "_chain"))
("Fathom" (giac-insert "_fath"))
("Board foot" (giac-insert "_fbm"))
("Fermi" (giac-insert "_fermi"))
("Light year" (giac-insert "_lyr"))
("Parsec" (giac-insert "_pc"))
)
(-> "Area"
("Are" (giac-insert "_a"))
("Hectare" (giac-insert "_ha"))
("Acre" (giac-insert "_acre"))
("Barn" (giac-insert "_b"))
("Square international mile" (giac-insert "_mi^2"))
)
(-> "Volume"
("Liter" (giac-insert "_l"))
("Milliliter" (giac-insert "_ml"))
("Barrel" (giac-insert "_bbl"))
("Bushel" (giac-insert "_bu"))
("US bushel" (giac-insert "_buUS"))
("US cup" (giac-insert "_cu"))
("Canadian gallon" (giac-insert "_galC"))
("UK gallon" (giac-insert "_galUK"))
("US gallon" (giac-insert "_galUS"))
("US liquid pint" (giac-insert "_liqpt"))
("UK pint" (giac-insert "_ptUK"))
("US peck" (giac-insert "_pk"))
("Quart" (giac-insert "_qt"))
("Stere" (giac-insert "_st"))
("Tablespoon" (giac-insert "_tbsp"))
("Teaspoon" (giac-insert "_tsp"))
)
(-> "Angle"
("Radian" (giac-insert "_rad"))
("Tour (2π radians)" (giac-insert "_tr"))
("Steradian" (giac-insert "_sr"))
("Degree" (giac-insert "_deg"))
("Minute of arc" (giac-insert "_arcmin"))
("Second of arc" (giac-insert "_arcs"))
("Grade" (giac-insert "_grad"))
)
(-> "Velocity"
("Kilometers per hour" (giac-insert "_kph"))
("Miles per hour" (giac-insert "_mph"))
("Nautical miles per hour" (giac-insert "_knot"))
("Revolutions per minute" (giac-insert "_rpm"))
)
(-> "Acceleration"
("Meters per second squared" (giac-insert "_m*_s^-2"))
("Gal" (giac-insert "_Gal"))
("Standard freefall" (giac-insert "_ga"))
)
(-> "Force, weight"
("Newton" (giac-insert "_N"))
("Dyne" (giac-insert "_dyn"))
("Poundal" (giac-insert "_pdl"))
("Gram-force" (giac-insert "_gf"))
("Pound-force" (giac-insert "_lbf"))
("Kilopound-force" (giac-insert "_kip"))
)
(-> "Pressure"
("Pascal" (giac-insert "_Pa"))
("Atmosphere" (giac-insert "_atm"))
("Bar" (giac-insert "_bar"))
("Inches of water (60°F)" (giac-insert "_inH2O"))
("Inches of mercury (0°C)" (giac-insert "_inHg"))
("Millimeters of mercury (0°C)" (giac-insert "_mmHg"))
("Pounds per square inch" (giac-insert "_psi"))
)
(-> "Energy, work, heat"
("British thermal unit (BTU)" (giac-insert "_Btu"))
("Joule" (giac-insert "_J"))
("Erg" (giac-insert "_erg"))
("Calorie" (giac-insert "_cal"))
("Kilocalorie" (giac-insert "_Kcal"))
("Electronvolt" (giac-insert "_eV"))
("Megaelectronvolt" (giac-insert "_MeV"))
("Watt-hour" (giac-insert "_Wh"))
("Kilowatt-hour" (giac-insert "_kWh"))
("Ton of coal equivalent" (giac-insert "_tec"))
("Ton of oil equivalent" (giac-insert "_tep"))
("Liter of oil equivalent" (giac-insert "_lep"))
("Barrel of oil equivalent" (giac-insert "_bblep"))
("EEC therm" (giac-insert "_therm"))
)
(-> "Power"
("Watt" (giac-insert "_W"))
("Megawatt" (giac-insert "_MW"))
("Horsepower" (giac-insert "_hp"))
)
(-> "Temperature"
("Kelvin" (giac-insert "_K"))
("Rankine" (giac-insert "_Rankine"))
("Degree Fahrenheit" (giac-insert "_degreeF"))
)
(-> "Radiation"
("Becquerel" (giac-insert "_Bq"))
("Curie" (giac-insert "_Ci"))
("Gray" (giac-insert "_Gy"))
("Roentgen" (giac-insert "_R"))
("Sievert" (giac-insert "_Sv"))
("Rad" (giac-insert "_rd"))
("Rem" (giac-insert "_rem"))
)
(-> "Electricity"
("Ampere" (giac-insert "_A"))
("Farad" (giac-insert "_F"))
("Faraday" (giac-insert "_Fdy"))
("Henry" (giac-insert "_H"))
("Ohm" (giac-insert "_Ohm"))
("Siemens" (giac-insert "_S"))
("Volt" (giac-insert "_V"))
)
(-> "Magnetic field"
("Tesla" (giac-insert "_T"))
("Weber" (giac-insert "_Wb"))
)
(-> "Time"
("Second" (giac-insert "_s"))
("Minute" (giac-insert "_mn"))
("Hour" (giac-insert "_h"))
("Day" (giac-insert "_d"))
("Year" (giac-insert "_yr"))
)
(-> "Frequency"
("Hertz" (giac-insert "_Hz"))
("Megahertz" (giac-insert "_MHz"))
)
(-> "Viscosity"
("Stokes" (giac-insert "_St"))
("Poise" (giac-insert "_P"))
)
(-> "Illuminance"
("Lumen" (giac-insert "_lm"))
("Lux" (giac-insert "_lx"))
("Lambert" (giac-insert "_lam"))
("Candela" (giac-insert "_cd"))
("Footcandle" (giac-insert "_fc"))
("Footlambert" (giac-insert "_flam"))
("Phot" (giac-insert "_ph"))
("Stilb" (giac-insert "_sb"))
)
(-> "Substance amount"
("Mole" (giac-insert "_mol"))
("Gram-mole" (giac-insert "_gmol"))
("Pound-mole" (giac-insert "_lbmol"))
)
(-> "Other"
("Decibel" (giac-insert "_dB"))
("Tex" (giac-insert "_tex"))
("Unit conversion" (giac-apply "mksa" "()" 2))
))
(-> "Physical constants"
("Faraday constant" (giac-insert "_F_"))
("Gravitational constant" (giac-insert "_G_"))
("Reference intensity" (giac-insert "_I0_"))
("Avogadro's number" (giac-insert "_NA_"))
("Power at the surface of the Sun" (giac-insert "_PSun_"))
("Radius of the Earth" (giac-insert "_REarth_"))
("Radius of the Sun" (giac-insert "_RSun_"))
("Universal gas constant" (giac-insert "_R_"))
("Rydberg constant" (giac-insert "_Rinfinity_"))
("Standard pressure" (giac-insert "_StdP_"))
("Standard temperature" (giac-insert "_StdT_"))
("Molar volume" (giac-insert "_Vm_"))
("Bohr radius" (giac-insert "_a0_"))
("Fine structure constant" (giac-insert "_alpha_"))
("Wien displacement constant" (giac-insert "_c3_"))
("Speed of light in vacuum" (giac-insert "_c_"))
("Permittivity of vacuum" (giac-insert "_epsilon0_"))
("Dielectric constant of Silicon dioxide" (giac-insert "_epsilonox_"))
("Dielectric constant" (giac-insert "_epsilonsi_"))
("Photon frequency" (giac-insert "_f0_"))
("Acceleration of gravity" (giac-insert "_g_"))
("Planck constant" (giac-insert "_h_"))
("Dirac constant" (giac-insert "_hbar_"))
("Boltzmann constant" (giac-insert "_k_"))
("Photon wavelength" (giac-insert "_lambda0_"))
("Mass of the Earth" (giac-insert "_mEarth_"))
("Electron rest mass" (giac-insert "_me_"))
("Electron charge" (giac-insert "_q_"))
("Proton rest mass" (giac-insert "_mp_"))
("Permeability of vacuum" (giac-insert "_mu0_"))
("Bohr magneton" (giac-insert "_muB_"))
("Nuclear magneton" (giac-insert "_muN_"))
("Magnetic flux quantum" (giac-insert "_phi_"))
("Duration of a sidereal day" (giac-insert "_sd_"))
("Duration of a sidereal year" (giac-insert "_syr_"))
("Stefan-Boltzmann constant" (giac-insert "_sigma_")))
---
(-> "Real numbers"
("Absolute value" (giac-apply "abs" "()" 1))
("Maximal element" (giac-apply "max" "()" 1))
("Minimal element" (giac-apply "min" "()" 1))
("Sign function" (giac-apply "sign" "()" 1)))
(-> "Complex numbers"
("Absolute value" (giac-apply "abs" "()" 1))
("Argument" (giac-apply "arg" "()" 1))
("Conjugate" (giac-apply "conj" "()" 1))
("Imaginary part" (giac-apply "im" "()" 1))
("Real part" (giac-apply "re" "()" 1)))
(-> "Elementary functions"
(-> "Exponential and logarithmic functions"
("Exponential function" (giac-apply "exp" "()" 1))
("Natural logarithm" (giac-apply "ln" "()" 1))
("Common logarithm (base 10)" (giac-apply "log10" "()" 1)))
(-> "Trigonometric and cyclometric functions"
("Sine" (giac-apply "sin" "()" 1))
("Cosine" (giac-apply "cos" "()" 1))
("Tangent" (giac-apply "tan" "()" 1))
("Cotangent" (giac-apply "cot" "()" 1))
("Arc sine" (giac-apply "asin" "()" 1))
("Arc cosine" (giac-apply "acos" "()" 1))
("Arc tangent" (giac-apply "atan")))
(-> "Hyperbolic functions"
("Hyperbolic sine" (giac-apply "sinh" "()" 1))
("Hyperbolic cosine" (giac-apply "cosh" "()" 1))
("Hyperbolic tangent" (giac-apply "tanh" "()" 1))
("Inverse hyperbolic sine" (giac-apply "asinh" "()" 1))
("Inverse hyperbolic cosine" (giac-apply "acosh" "()" 1))
("Inverse hyperbolic tangent" (giac-apply "atanh" "()" 1))))
(-> "Special functions" (-> "Special functions"
("Ai (Airy function)" (giac-insert "Airy_Ai()")) ("Ai (Airy function)" (giac-apply "Airy_Ai" "()" 1))
("Bi (Airy function" (giac-insert "Airy_Bi")) ("Bi (Airy function)" (giac-apply "Airy_Bi" "()" 1))
("Gamma" (giac-insert "gamma()")) ("Gamma" (giac-apply "Gamma" "()" 1))
("Psi" (giac-insert "psi()")) ("Lambert W" (giac-apply "LambertW" "()" 1))
("Zeta" (giac-insert "zeta()"))) ("Psi" (giac-apply "Psi" "()" 1))
("Zeta" (giac-apply "Zeta" "()" 1)))
(-> "Rewriting"
(-> "Exponentials and logarithms"
("Hyperbolic to exponential" (giac-apply "hyp2exp" "()" 1))
("Linearize exponentials" (giac-apply "lin" "()" 1))
("Collect logarithms" (giac-apply "lncollect" "()" 1))
("Complex exponential to sine and cosine" (giac-apply "sincos" "()" 1)
)
("Trigonometric expression to exponential" (giac-apply "trig2exp" "()"
1))
("Lower the number of non-rational variables" (giac-apply "tsimplify"
"()" 1)))
(-> "Trigonometric"
("Half-tangent" (giac-apply "halftan" "()" 1))
("Tangent to sine/cosine" (giac-apply "tan2sincos" "()" 1))
("Tangent to sine/cosine of double argument" (giac-apply "tan2sincos2"
"()" 1))
("Collect transcendental expressions" (giac-apply "tcollect" "()" 1))
("Expand transcendental expressions" (giac-apply "texpand" "()" 1))
("Simplify by privileging sine" (giac-apply "trigsin" "()" 1))
("Simplify by privileging cosine" (giac-apply "trigcos" "()" 1))
("Simplify by privileging tangent" (giac-apply "trigtan" "()" 1))
("Trigonometric linearization" (giac-apply "tlin" "()" 1)))
(-> "Inverse trigonometric rewriting"
("Arc cosine to arc sine" (giac-apply "acos2asin" "()" 1))
("Arc cosine to arc tangent" (giac-apply "acos2atan" "()" 1))
("Arc sine to arc cosine" (giac-apply "asin2acos" "()" 1))
("Arc sine to arc tangent" (giac-apply "asin2atan" "()" 1))
("Arc tangent to arc cosine" (giac-apply "atan2acos" "()" 1))
("Arc tangent to arc sine" (giac-apply "atan2asin" "()" 1))))
--- ---
(-> "Integer arithmetic" (-> "Integer arithmetic"
("Greatest common divisor" (giac-insert "gcd()")) ("Greatest common divisor" (giac-apply "gcd" "()" 1))
("Largest common multiple" (giac-insert "lcm()")) ("Largest common multiple" (giac-apply "lcm" "()" 1))
("Euler totient function" (giac-insert "euler()")) ("Euler totient function" (giac-apply "euler" "()" 1))
("Iabcuv" (giac-insert "iabcuv()")) ("Chinese remainders" (giac-apply "ichinrem" "()" 1))
("Chinese remainders" (giac-insert "ichinrem()")) ("Extended greatest common divisor" (giac-apply "iegcd" "()" 1))
("Extended greatest common divisor" (giac-insert "iegcd()")) ("Integer factorization" (giac-apply "ifactor" "()" 1))
("Integer factorization" (giac-insert "ifactor()")) ("Prime factors" (giac-apply "ifactors" "()" 1))
("Prime factors" (giac-insert "ifactors()")) ("Quotient" (giac-apply "iquo" "()" 1))
("Quotient" (giac-insert "iquo()")) ("Remainder" (giac-apply "irem" "()" 1))
("Remainder" (giac-insert "irem()")) ("Prime number testing" (giac-apply "is_prime" "()" 1))
("Is prime" (giac-insert "is_prime()")) ("Next prime" (giac-apply "nextprime" "()" 1))
("Next prime" (giac-insert "nextprime()")) ("Previous prime" (giac-apply "prevprime" "()" 1)))
("Pa2b2" (giac-insert "pa2b2()"))
("Previous prime" (giac-insert "prevprime()")))
(-> "Polynomial arithmetic" (-> "Polynomial arithmetic"
("Greatest common divisor" (giac-insert "gcd()")) ("Greatest common divisor" (giac-apply "gcd" "()" 1))
("Largest common multiple" (giac-insert "lcm()")) ("Largest common multiple" (giac-apply "lcm" "()" 1))
("Abcuv" (giac-insert "abcuv()")) ("Chinese remainders" (giac-apply "chinrem" "()" 1))
("Chinese remainders" (giac-insert "chinrem()")) ("Cyclotomic" (giac-apply "cyclotomic" "()" 1))
("Cyclotomic" (giac-insert "cyclotomic()")) ("Divisors of a polynomial" (giac-apply "divis" "()" 1))
("Divisors of a polynomial" (giac-insert "divis()")) ("Extended greatest common divisor" (giac-apply "egcd" "()" 1))
("Extended greatest common divisor" (giac-insert "egcd()")) ("Factorization" (giac-apply "factor" "()" 1))
("Factor" (giac-insert "factor()")) ("Coefficients from roots" (giac-apply "pcoeff" "()" 1))
("Hermite polynomial" (giac-insert "hermite()")) ("Evaluation from coefficients" (giac-apply "peval" "()" 1))
("Laguerre polynomial" (giac-insert "laguerre()")) ("Roots from coefficients" (giac-apply "proot" "()" 1))
("Coefficients from roots" (giac-insert "pcoeff()")) ("Quotient" (giac-apply "quo" "()" 1))
("Evaluation from coefficients" (giac-insert "peval()")) ("Remainder" (giac-apply "rem" "()" 1))
("Roots from coefficients" (giac-insert "proot()")) ("Quotient and remainder" (giac-apply "quorem" "()" 1))
("Quotient" (giac-insert "quo()")) ("Coefficients" (giac-apply "e2r" "()" 1))
("Remainder" (giac-insert "rem()")) ("Polynomial from coefficients" (giac-apply "r2e" "()" 1))
("Quotient and remainder" (giac-insert "quorem()")) (-> "Orthogonal polynomials"
("Coefficients" (giac-insert "e2r()")) ("Hermite polynomial" (giac-apply "hermite" "()" 1))
("Polynomial from coefficients" (giac-insert "r2e()")) ("Laguerre polynomial" (giac-apply "laguerre" "()" 1))
("Tchebyshev polynomial of the first kind" (giac-insert "tchebyshev1()")) ("Legendre polynomial" (giac-apply "legendre" "()" 1))
("Tchebyshev polynomial of the second kind" (giac-insert "tchebyshev2()")) ("Tchebyshev polynomial of the first kind" (giac-apply "tchebyshev1" "
) ()" 1))
("Tchebyshev polynomial of the second kind" (giac-apply "tchebyshev2"
"()" 1))))
(-> "Interpolation"
("Lagrange polynomial" (giac-apply "lagrange" "()" 1))
("Spline interpolation" (giac-apply "spline" "()" 1))
("Rational interpolation" (giac-apply "ratinterp" "()" 1))
("Trigonometric interpolation" (giac-apply "triginterp" "()" 1)))
(-> "Curve fitting"
("Linear regression" (giac-apply "linear_regression" "()" 1))
("Polynomial regression" (giac-apply "polynomial_regression" "()" 1))
("Exponential regression" (giac-apply "exponential_regression" "()" 1))
("Logarithmic regression" (giac-apply "logarithmic_regression" "()" 1))
("Logistic regression" (giac-apply "logistic_regression" "()" 1))
("Fit polynomial to data" (giac-apply "fitpoly" "()" 1)))
(-> "Function approximation"
("L2-norm polynomial approximation" (giac-apply "fitpoly" "()" 1))
("Minimax polynomial approximation" (giac-apply "minimax" "()" 1)))
---
(-> "Linear algebra"
(-> "Vectors"
("Absolute value" (giac-apply "abs" "()" 1))
("Norm" (giac-apply "norm" "()" 1))
("L1 norm" (giac-apply "l1norm" "()" 1))
("L2 norm" (giac-apply "l2norm" "()" 1))
("Scalar product" (giac-apply "dot" "()" 1))
("Vector product" (giac-apply "cross" "()" 1)))
(-> "Matrices"
("Hadamard" (giac-apply "hadamard" "()" 1))
("Inverse" (giac-apply "inv" "()" 1))
("Trace" (giac-apply "trace" "()" 1))
("Transconjugate" (giac-apply "trn" "()" 1))
("Transpose" (giac-apply "tran" "()" 1))
("Norm" (giac-apply "norm" "()" 1))
---
("Identity" (giac-apply "idn" "()" 1))
("Hilbert" (giac-apply "hilbert" "()" 1))
("Vandermonde" (giac-apply "vandermonde" "()" 1))
("Random" (giac-apply "ranm" "()" 1)))
(-> "Eigenvalues and eigenvectors"
("Eigenvectors" (giac-apply "egv" "()" 1))
("Eigenvalues" (giac-apply "egvl" "()" 1))
("Jordan form" (giac-apply "jordan" "()" 1)))
(-> "Matrix factorization"
("Cholesky decomposition" (giac-apply "cholesky" "()" 1))
("LU decomposition" (giac-apply "lu" "()" 1))
("QR decomposition" (giac-apply "qr" "()" 1))
("Schur decomposition" (giac-apply "schur" "()" 1))
("Singular value decomposition" (giac-apply "svd" "()" 1)))
(-> "Gauss-Jordan pivot"
("Basis" (giac-apply "basis" "()" 1))
("Basis intersection" (giac-apply "ibasis" "()" 1))
("Kernel" (giac-apply "ker" "()" 1))
("Image" (giac-apply "image" "()" 1))
("Row reduction to echelon form" (giac-apply "rref" "()" 1)))
(-> "Isometries"
("Elements of a 2D or 3D isometry" (giac-apply "isom" "()" 1))
("Isometry matrix" (giac-apply "mkisom()"))))
(-> "Calculus" (-> "Calculus"
("Differentiate" (giac-insert "diff()")) ("Limit" (giac-apply "limit" "()" 2))
("Integrate" (giac-insert "integrate()")) ("Differentiate" (giac-apply "diff" "()" 1))
("Solve (in)equation(s)" (giac-insert "solve()")) ("Integrate" (giac-apply "integrate" "()" 1))
("Solve ordinary differential equation" (giac-insert "desolve()")) ("Gradient" (giac-apply "grad" "()" 1))
("Gradient" (giac-insert "grad()")) ("Divergence" (giac-apply "divergence" "()" 1))
("Divergence" (giac-insert "divergence()")) ("Curl" (giac-apply "curl" "()" 1))
("Curl" (giac-insert "curl()")) ("Hessian" (giac-apply "hessian" "()" 1))
("Hessian" (giac-insert "hessian()")) ("Laplacian" (giac-apply "laplacian" "()" 1))
("Laplacian" (giac-insert "laplacian()")) ("Local extrema" (giac-apply "extrema" "()" 1))
("Limit" (giac-insert "limit()")) ("Test convexity" (giac-apply "convex" "()" 1))
("Taylor expansion" (giac-insert "taylor()")) ("Implicit differentiation" (giac-apply "implicitdiff" "()" 1))
("Series expansion" (giac-insert "series()")) ("Taylor expansion" (giac-apply "taylor" "()" 1))
("Sum" (giac-insert "sum()"))) ("Series expansion" (giac-apply "series" "()" 1)))
(-> "Calculus of variations"
("Euler-Lagrange equations" (giac-apply "euler_lagrange" "()" 1))
("Jacobi equation" (giac-apply "jacobi_equation" "()" 1))
("Conjugate equation" (giac-apply "conjugate_equation" "()" 1)))
(-> "Numeric analysis" (-> "Numeric analysis"
("Newton method" (giac-insert "newton()")) ("Newton method" (giac-apply "newton" "()" 1))
("Bisection solver" (giac-insert "fsolve(,bisection_solver)")) ("Solve equations" (giac-apply "fsolve" "()" 2))
("Brent solver" (giac-insert "fsolve(,brent_solver)")) ("Solve differential equations" (giac-apply "odesolve" "()" 3))
("False positions solver" (giac-insert "fsolve(,falsepos_solver)")) ("Solve boundary-value problems" (giac-apply "bvpsolve" "()" 3))
("Newton solver" (giac-insert "fsolve(,newton_solver)")) ("Numerical integration" (giac-apply "romberg" "()" 4))
("Romberg" (giac-insert "romberg()")) ("Numerical differentiation" (giac-apply "numdiff" "()" 3)))
("Secant" (giac-insert "fsolve(,secant_solver)"))
("Newton D" (giac-insert "fsolve(,dnewton_solver)"))
("Hybrid" (giac-insert "fsolve(,hybrid_solver)"))
("Hybrid S" (giac-insert "fsolve(,hybrids_solver)"))
("Newton Jacobian" (giac-insert "fsolve(,newtonj_solver)"))
("Hybrid Jacobian" (giac-insert "fsolve(,hybridj_solver)"))
("Hybrid S Jacobian" (giac-insert "fsolve(,hybridsj_solver)")))
(-> "Transformations"
("Fourier cosine coefficient" (giac-insert "fourier_an()"))
("Fourier sine coefficient" (giac-insert "fourier_bn()"))
("Fourier coefficient" (giac-insert "fourier_cn()"))
("Laplace transform" (giac-insert "laplace()"))
("Inverse Laplace transform" (giac-insert "ilaplace()"))
("Fourier transform" (giac-insert "fourier()"))
("Inverse Fourier transform" (giac-insert "ifourier()"))
("Fast Fourier Transform" (giac-insert "fft()"))
("Inverse Fast Fourier Transform" (giac-insert "ifft()")))
(-> "Rewriting"
("Hyperbolic to exponential" (giac-insert "hyp2exp()"))
("Linearize exponentials" (giac-insert "lin()"))
("Collect logarithms" (giac-insert "lncollect()"))
("Complex exponential to sine and cosine" (giac-insert "sincos()"))
("Trigonometric expression to exponential" (giac-insert "trig2exp()"))
("Lower the number of non-rational variables" (giac-insert "tsimplify()"))
)
(-> "Trigonometric rewriting"
("Halftan" (giac-insert "halftan()"))
("Tan2sincos" (giac-insert "tan2sincos()"))
("Tan2sincos2" (giac-insert "tan2sincos2()"))
("Collect transcendental expressions" (giac-insert "tcollect()"))
("Expand transcendental expressions" (giac-insert "texpand()"))
("Simplify by privileging sine" (giac-insert "trigsin()"))
("Simplify by privileging cosine" (giac-insert "trigcos()"))
("Simplify by privileging tangent" (giac-insert "trigtan()"))
("Trigonometric linearization" (giac-insert "tlin()")))
(-> "Inverse trigonometric rewriting"
("Arccosine to arcsine" (giac-insert "acos2asin()"))
("Arccosine to arctangent" (giac-insert "acos2atan()"))
("Arcsine to arccosine" (giac-insert "asin2acos()"))
("Arcsine2 to arctangent" (giac-insert "asin2atan()"))
("Arctangent to arccosine" (giac-insert "atan2acos()"))
("Arctangent to arcsine" (giac-insert "atan2asin()")))
--- ---
(-> "Vector" (-> "Probability and statistics"
("Absolute value" (giac-insert "abs()")) (-> "Statistics"
("Scalar product" (giac-insert "dot()")) ("Mean" (giac-apply "mean" "()" 1))
("Vector product" (giac-insert "cross()"))) ("Variance" (giac-apply "variance" "()" 1))
(-> "Matrix" ("Standard deviation" (giac-apply "stddev" "()" 1))
("Hadamard" (giac-insert "hadamard()")) ("Population standard deviation" (giac-apply "stdDev" "()" 1))
("Identity" (giac-insert "idn()")) ("Median" (giac-apply "median" "()" 1))
("Inverse" (giac-insert "inv()")) ("Quartiles" (giac-apply "quartiles" "()" 1))
("Random" (giac-insert "ranm()")) ("Quantiles" (giac-apply "quantiles" "()" 2))
("Trace" (giac-insert "trace()")) ("Classes" (giac-apply "classes" "()" 1))
("Transconjugate" (giac-insert "trn()")) ("Frequencies" (giac-apply "frequencies" "()" 1))
("Transpose" (giac-insert "tran()")) ("Cumulative frequencies" (giac-apply "cumulated_frequencies" "()" 1))
("Vandermonde" (giac-insert "vandermonde()"))) ("Covariance" (giac-apply "covariance" "()" 1))
(-> "Eigenvalues and vectors" ("Correlation" (giac-apply "correlation" "()" 1))
("Eigenvectors" (giac-insert "egv()")) (-> "Plotting"
("Eigenvalues" (giac-insert "egvl()")) (-> "Regression plot"
("Jordan" (giac-insert "jordan()"))) ("Linear" (giac-apply "linear_regression_plot" "()" 1))
(-> "Matrix factorization" ("Polynomial" (giac-apply "polynomial_regression_plot" "()" 1)
("Cholesky decomposition" (giac-insert "cholesky()")) )
("LU decomposition" (giac-insert "lu()")) ("Exponential" (giac-apply "exponential_regression_plot" "()"
("QR decomposition" (giac-insert "qr()")) 1))
("Singular value decomposition" (giac-insert "svd()"))) ("Logarithmic" (giac-apply "logarithmic_regression_plot" "()"
(-> "Gauss-Jordan pivot" 1))
("Basis" (giac-insert "basis()")) ("Logistic" (giac-apply "logistic_regression_plot" "()" 1)))
("Basis intersection" (giac-insert "ibasis()")) ("Sequence plot" (giac-apply "plotseq" "()" 1))
("Kernel" (giac-insert "ker()")) ("Polygonal path" (giac-apply "plotlist" "()" 1))
("Image" (giac-insert "image()")) ("Scatter plot" (giac-apply "scatterplot" "()" 1))
("Solve linear systems" (giac-insert "linsolve()")) ("Stem plot" (giac-apply "batons" "()" 1))
("Row reduction to echelon form" (giac-insert "rref()"))) ("Box plot" (giac-apply "boxwhisker" "()" 1))
(-> "Isometries" ("Bar chart" (giac-apply "bar_plot" "()" 1))
("Elements of a 2D or 3D isometry" (giac-insert "isom()")) ("Pie chart" (giac-apply "camembert" "()" 1))
("Isometry matrix" (giac-insert "mkisom()")))) ("Histogram" (giac-apply "histogram" "()" 1))))
(-> "Probability distributions"
(-> "Density functions"
("Uniform" (giac-apply "uniformd" "()" 3))
("Binomial" (giac-apply "binomial" "()" 3))
("Negative binomial" (giac-apply "negbinomial" "()" 3))
("Multinomial" (giac-apply "multinomial" "()" 3))
("Poisson" (giac-apply "poisson" "()" 2))
("Normal" (giac-apply "normald" "()" 3))
("Student" (giac-apply "studentd" "()" 2))
("Chi-squared" (giac-apply "chisquare" "()" 2))
("Fisher-Snédécor" (giac-apply "fisherd" "()" 3))
("Gamma" (giac-apply "gammad" "()" 3))
("Beta" (giac-apply "betad" "()" 3))
("Geometric" (giac-apply "geometric" "()" 2))
("Cauchy" (giac-apply "cauhcyd" "()" 3))
("Exponential" (giac-apply "exponentiald" "()" 2))
("Weibull" (giac-apply "weibulld" "()" 3))
("Kolmogorov-Smirnov" (giac-apply "kolmogorovd" "()" 1)))
("Moment generating function" (giac-apply "mgf" "()" 1))
("Cumulative distribution function" (giac-apply "cdf" "()" 1))
("Inverse distribution function" (giac-apply "icdf" "()" 1))
("Kernel density estimation" (giac-apply "kde" "()" 1))
("Distribution fitting" (giac-apply "fitdistr" "()" 2)))
(-> "Random numbers"
("Random variable" (giac-apply "randvar" "()" 1))
("Sampling random numbers" (giac-apply "sample" "()" 1))
("Initializing random number generator" (giac-apply "srand" "()" 1))
("Random vectors" (giac-apply "randvector" "()" 1))
("Random matrices" (giac-apply "randmatrix" "()" 1)))
(-> "Hypothesis testing"
("Z-test mean testing" (giac-apply "normalt" "()" 3))
("T-test mean testing" (giac-apply "studentt" "()" 3))
("Chi-squared distribution testing" (giac-apply "chisquaret" "()" 1))
("Kolmogorov-Smirnov distribution testing" (giac-apply "kolmogorovt" "
()" 2))))
(-> "Graph theory"
(-> "Constructing graphs"
(-> "General graphs"
("Undirected graph" (giac-apply "graph" "()" 1))
("Directed graph" (giac-apply "digraph" "()" 1)))
(-> "Cycle and path graphs"
("Cycle graph" (giac-apply "cycle_graph" "()" 1))
("Path graph" (giac-apply "path_graph" "()" 1))
("Trail" (giac-apply "trail" "()" 1)))
(-> "Complete graphs"
("Complete (multipartite) graph" (giac-apply "complete_graph" "()"
1))
("Complete binary tree" (giac-apply "complete_binary_tree" "()" 1)
)
("Complete k-ary tree" (giac-apply "complete_kary_tree" "()" 2)))
(-> "Sequence graphs"
("Sequence to graph" (giac-apply "sequence_graph" "()" 1))
("Test for graphic sequence" (giac-apply "is_graphic_sequence" "()
" 1)))
(-> "Intersection graphs"
("Interval graph" (giac-apply "interval_graph" "()" 1))
("Kneser graph" (giac-apply "kneser_graph" "()" 2)))
(-> "Special graphs"
("Hypercube graph" (giac-apply "hypercube_graph" "()" 1))
("Star graph" (giac-apply "star_graph" "()" 1))
("Wheel graph" (giac-apply "wheel_graph" "()" 1))
("Web graph" (giac-apply "web_graph" "()" 2))
("Prism graph" (giac-apply "prism_graph" "()" 1))
("Antiprism_graph" (giac-apply "antiprism_graph" "()" 1))
("Grid graph" (giac-apply "grid_graph" "()" 2))
("Sierpiński graph" (giac-apply "sierpinski_graph" "()" 2))
("Generalized Petersen graph" (giac-apply "petersen_graph" "()" 2)
)
("LCF graph" (giac-apply "lcf_graph" "()" 1)))
(-> "Isomorphic copies"
("Isomorphic copy from permutation" (giac-apply "isomorphic_copy"
"()" 2))
("Permute vertices" (giac-apply "permute_vertices" "()" 2))
("Relabel vertices" (giac-apply "relabel_vertices" "()" 2)))
(-> "Subgraphs"
("Extract subgraph" (giac-apply "subgraph" "()" 2))
("Induced subgraph" (giac-apply "induced_subgraph" "()" 2))
("Underlying graph" (giac-apply "underlying_graph" "()" 1))
("Fundamental cycles" (giac-apply "cycle_basis" "()" 1))
("Find cycles in digraph" (giac-apply "find_cycles" "()" 1)))
(-> "Operations on graphs"
("Graph complement" (giac-apply "graph_complement" "()" 1))
("Seidel switch" (giac-apply "seidel_switch" "()" 1))
("Transpose graph" (giac-apply "reverse_graph" "()" 1))
("Graph union" (giac-apply "graph_union" "()" 2))
("Disjoint union" (giac-apply "disjoint_union" "()" 2))
("Join two graphs" (giac-apply "graph_join" "()" 2))
("Power graph" (giac-apply "graph_power" "()" 2))
("Cartesian product" (giac-apply "cartesian_product" "()" 2))
("Tensor product" (giac-apply "tensor_product" "()" 2))
("Transitive closure" (giac-apply "transitive_closure" "()" 1))
("Line graph" (giac-apply "line_graph" "()" 1))
("Plane dual" (giac-apply "plane_dual" "()" 1))
("Truncate" (giac-apply "truncate_graph" "()" 1)))
(-> "Random graphs"
("Random graph" (giac-apply "random_graph" "()" 1))
("Random digraph" (giac-apply "random_digraph" "()" 1))
("Random tree" (giac-apply "random_tree" "()" 1))
("Random planar graph" (giac-apply "random_planar_graph" "()" 1))
("Random graph from sequence" (giac-apply "random_sequence_graph"
"()" 1))
("Random regular graph" (giac-apply "random_regular_graph" "()" 2)
)
("Random tournament" (giac-apply "random_tournament" "()" 1))
("Random network" (giac-apply "random_network" "()" 2))
("Randomize edge weights" (giac-apply "assign_edge_weights" "()" 2
))))
(-> "Modifying graphs"
(-> "Promoting to directed/weighted graphs"
("Convert edges to arcs" (giac-apply "make_directed" "()" 2))
("Assign weights to edges" (giac-apply "make_weighted" "()" 2)))
(-> "Modifying vertices"
("Add vertex" (giac-apply "add_vertex" "()" 2))
("Remove vertex" (giac-apply "delete_vertex" "()" 2)))
(-> "Modifying edges"
("Add edge" (giac-apply "add_edge" "()" 2))
("Remove edge" (giac-apply "delete_edge" "()" 2))
("Add arc" (giac-apply "add_arc" "()" 2))
("Remove arc" (giac-apply "delete_arc" "()" 2))
("Set edge weight" (giac-apply "set_edge_weight" "()" 3))
("Edge weight" (giac-apply "get_edge_weight" "()" 2))
("Contract edge" (giac-apply "contract_edge" "()" 2))
("Subdivide edges" (giac-apply "subdivide_edges" "()" 2)))
(-> "Attributes"
("Graph attribute" (giac-apply "get_graph_attribute" "()" 2))
("List graph attributes" (giac-apply "list_graph_attributes" "()"
1))
("Set graph attribute" (giac-apply "set_graph_attribute" "()" 3))
---
("Vertex attribute" (giac-apply "get_vertex_attribute" "()" 3))
("List vertex attributes" (giac-apply "list_vertex_attributes" "()
" 2))
("Set vertex attribute" (giac-apply "set_vertex_attribute" "()" 4)
)
---
("Edge attribute" (giac-apply "get_edge_attribute" "()" 3))
("List edge attributes" (giac-apply "list_edge_attributes" "()" 2)
)
("Set edge attribute" (giac-apply "set_edge_attribute" "()" 4))))
(-> "Import & export"
("Load graph from dot file" (giac-apply "import_graph" "()" 1))
("Write graph to dot file" (giac-apply "export_graph" "()" 2)))
(-> "Graph properties"
(-> "Basic"
("Vertex degree" (giac-apply "vertex_degree" "()" 2))
("Get edges incident to vertex" (giac-apply "incident_edges" "()"
2)))
(-> "Algebraic"
("Adjacency matrix" (giac-apply "adjacency_matrix" "()" 1))
("Weight matrix" (giac-apply "weight_matrix" "()" 1))
("Incidence matrix" (giac-apply "incidence_matrix" "()" 1))
("Laplacian matrix" (giac-apply "laplacian_matrix" "()" 1))
("Characteristic polynomial" (giac-apply "graph_charpoly" "()" 1))
("Graph spectrum" (giac-apply "graph_spectrum" "()" 1))
("Seidel spectrum" (giac-apply "seidel_spectrum" "()" 1)))
(-> "Isomorphism"
("Test graph isomorphism" (giac-apply "is_isomorphic" "()" 2))
("Test subgraph isomorphism" (giac-apply "is_subgraph_isomorphic"
"()" 1))
("Canonical labeling" (giac-apply "canonical_labeling" "()" 1))
("Automorphisms" (giac-apply "graph_automorphisms" "()" 1)))
(-> "Polynomials"
("Tutte polynomial" (giac-apply "tutte_polynomial" "()" 1))
("Chromatic polynomial" (giac-apply "chromatic_polynomial" "()" 1)
)
("Flow polynomial" (giac-apply "flow_polynomial" "()" 1))
("Reliability polynomial" (giac-apply "reliability_polynomial" "()
" 1)))
(-> "Connectivity"
("Vertex connectivity" (giac-apply "vertex_connectivity" "()" 1))
("Edge connectivity" (giac-apply "edge_connectivity" "()" 1))
("Graph rank" (giac-apply "graph_rank" "()" 1))
("Articulation points" (giac-apply "articulation_points" "()" 1))
("Connected components" (giac-apply "connected_components" "()" 1)
)
("Strongly connected components" (giac-apply "strongly_connected_c
omponents" "()" 1))
("Biconnected components" (giac-apply "biconnected_components" "()
" 1)))
(-> "Trees"
("Tree height" (giac-apply "tree_height" "()" 1))
("Lowest common ancestor" (giac-apply "line_graph" "()" 3)))
(-> "Networks"
("Maximum flow" (giac-apply "maxflow" "()" 3))
("Minimum cut" (giac-apply "minimum_cut" "()" 3))
("Clustering coefficient" (giac-apply "clustering_coefficient" "()
" 1))
("Network transitivity" (giac-apply "network_transitivity" "()" 1)
))
(-> "Distance in graphs"
("Vertex distance" (giac-apply "vertex_distance" "()" 3))
("All-pairs vertex distance" (giac-apply "allpairs_distance" "()"
1))
("Graph diameter" (giac-apply "graph_diameter" "()" 1))
("Girth" (giac-apply "girth" "()" 1)))
(-> "Acyclic graphs"
("Topologic sorting" (giac-apply "topologic_sort" "()" 1))
("st-ordering" (giac-apply "st_ordering" "()" 3))
("Graph condensation" (giac-apply "condensation" "()" 1)))
(-> "Matching"
("Maximum matching" (giac-apply "maximum_matching" "()" 1))
("Maximum matching in bipartite graph" (giac-apply "bipartite_matc
hing" "()" 1)))
(-> "Cliques"
("Maximal cliques" (giac-apply "find_cliques" "()" 1))
("Maximum clique" (giac-apply "maximum_clique" "()" 1))
("Maximum independent set" (giac-apply "maximum_independent_set" "
()" 1))
("Clique cover" (giac-apply "clique_cover" "()" 1))
("Clique cover number" (giac-apply "clique_cover_number" "()" 1)))
(-> "Coloring"
("Greedy vertex coloring" (giac-apply "greedy_color" "()" 1))
("Minimal vertex coloring" (giac-apply "minimal_vertex_coloring" "
()" 1))
("Chromatic number" (giac-apply "chromatic_number" "()" 1))
("Minimal edge coloring" (giac-apply "minimal_edge_coloring" "()"
1))))
(-> "Traversing graphs"
(-> "Optimal routing"
("Shortest path in unweighted graph" (giac-apply "shortest_path" "
()" 3))
("Cheapest path in weighted graph" (giac-apply "dijkstra" "()" 3))
("k-shortest paths" (giac-apply "kspaths" "()" 4))
("Shortest tour" (giac-apply "traveling_salesman" "()" 1)))
(-> "Spanning trees"
("Spanning tree" (giac-apply "spanning_tree" "()" 1))
("Number of spanning trees" (giac-apply "number_of_spanning_trees"
"()" 1))
("Minimal spanning tree" (giac-apply "minimal_spanning_tree" "()"
1))))
(-> "Visualizing graphs"
("Draw graph" (giac-apply "draw_graph" "()" 1))
("Set vertex positions" (giac-apply "set_vertex_positions" "()" 2))
("Highlight vertex" (giac-apply "highlight_vertex" "()" 2))
("Highlight edges" (giac-apply "highlight_edges" "()" 2))
("Highlight trail" (giac-apply "highlight_trail" "()" 2))
("Highlight subgraph" (giac-apply "highlight_subgraph" "()" 2))))
(-> "Optimization"
("Minimize" (giac-apply "minimize" "()" 2))
("Maximize" (giac-apply "maximize" "()" 2))
("Solve linear programming problem" (giac-apply "lpsolve" "()" 2))
("Solve nonlinear programming problem" (giac-apply "nlpsolve" "()" 2))
("Solve transportation problem" (giac-apply "tpsolve" "()" 3)))
(-> "Signal processing"
("Root mean square (RMS)" (giac-apply "rms" "()" 1))
("Cross-correlation" (giac-apply "cross_correlation" "()" 2))
("Auto-correlation" (giac-apply "auto_correlation" "()" 1))
("Convolution" (giac-apply "convolution" "()" 2))
("Clamp range" (giac-apply "threshold" "()" 3))
(-> "Filter"
("Low-pass" (giac-apply "lowpass" "()" 2))
("High-pass" (giac-apply "highpass" "()" 2))
("Moving average" (giac-apply "moving_average" "()" 2)))
(-> "Common functions"
("Rectangular function" (giac-apply "rect" "()" 1))
("Boxcar function" (giac-apply "boxcar" "()" 3))
("Triangular function" (giac-apply "tri" "()" 1))
("Sampling function" (giac-apply "sinc" "()" 1))
("Step function" (giac-apply "Heaviside" "()" 1))
("Dirac delta function" (giac-apply "Dirac" "()" 1)))
(-> "Window functions"
("Bartlett-Hann" (giac-apply "bartlett_hann_window" "()" 1))
("Blackman" (giac-apply "blackman_window" "()" 1))
("Blackman-Harris" (giac-apply "blackman_harris_window" "()" 1))
("Bohman" (giac-apply "bohman_window" "()" 1))
("Cosine" (giac-apply "cosine_window" "()" 1))
("Gaussian" (giac-apply "gaussian_window" "()" 1))
("Hamming" (giac-apply "hamming_window" "()" 1))
("Hann" (giac-apply "hann_window" "()" 1))
("Hann-Poisson" (giac-apply "hann_poisson_window" "()" 1))
("Parzen" (giac-apply "parzen_window" "()" 1))
("Poisson" (giac-apply "poisson_window" "()" 1))
("Riemann" (giac-apply "riemann_window" "()" 1))
("Triangular" (giac-apply "triangle_window" "()" 1))
("Tukey" (giac-apply "tukey_window" "()" 1))
("Welch" (giac-apply "welch_window" "()" 1)))
(-> "Transformations"
("Fourier cosine coefficient" (giac-apply "fourier_an" "()" 1))
("Fourier sine coefficient" (giac-apply "fourier_bn" "()" 1))
("Fourier coefficient" (giac-apply "fourier_cn" "()" 1))
("Laplace transform" (giac-apply "laplace" "()" 1))
("Inverse Laplace transform" (giac-apply "ilaplace" "()" 1))
("Fourier transform" (giac-apply "fourier" "()" 1))
("Inverse Fourier transform" (giac-apply "ifourier" "()" 1))
("Fast Fourier Transform (FFT)" (giac-apply "fft" "()" 1))
("Inverse FFT" (giac-apply "ifft" "()" 1))
("Z-transform" (giac-apply "ztrans" "()" 1)))
(-> "Audio tools"
("Create audio clip" (giac-apply "createwav" "()" 1))
("Read audio from file" (giac-apply "readwav" "()" 1))
("Write audio to file" (giac-apply "writewav" "()" 2))
("Stereo to mono" (giac-apply "stereo2mono" "()" 1))
("Resample" (giac-apply "resample" "()" 1))
("Show waveform" (giac-apply "plotwav" "()" 1))
("Show spectrum" (giac-apply "plotspectrum" "()" 1))))
(if (not-in-session?)
---
(link scripts-eval-toggle-menu)))
(menu-bind plugin-menu (menu-bind plugin-menu
(:require (in-giac?)) (:require (or (in-giac?) (and (not-in-session?) (giac-scripts?))))
(=> "Giac" (link giac-functions-menu))) (=> "Giac" (link giac-functions-menu)))
 End of changes. 12 change blocks. 
184 lines changed or deleted 829 lines changed or added

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