\h.tSSKJr SSKJrJr SSKJr SSKJr SSKJ r SSK J r SSK J r SSKJr SS KJr /S Qr"S S \5r"S S\5r"SS\ 5r"SS\ 5rSrSrSrSrSrSr\R:R=S5Sr\R:RA\5\lg)) Derivative)UndefinedFunction AppliedUndef)Symbol) init_printing) LatexPrinter) PrettyPrinter) center_accent) StrPrinter) PRECEDENCE)vprint vsstrreprvsprintvpprintvlatexinit_vprintingc$\rSrSrSrSrSrSrg)VectorStrPrinterz'String Printer for vector expressions. c^SSKJn URm[[ U4SjUR 555[ [URS5[5-(aP[URSR5n[UR 5HupEX2R- nM U$[5RU5$)Nrdynamicsymbolsc3,># UH oT:Hv M g7fN.0its U/var/www/auris/envauris/lib/python3.13/site-packages/sympy/physics/vector/printing.py 5VectorStrPrinter._print_Derivative..s1[!V[s)sympy.physics.vector.functionsr_tboolsum variables isinstancetypeargsrstrfunc enumerate_strr doprint)selferolrvrs @r _print_Derivative"VectorStrPrinter._print_DerivativesA    1Q[[11 24q ?,=> ?QVVAY^^$B!!++.)))/I<''* *c&SSKJn URn[[ U5[ 5(a,[ 5RU5RSU-S5$URRSURURS5--$)Nrrz(%s)z, ) r#rr$r(r)rr r/replacer,__name__ stringifyr*)r0r1rrs r _print_Function VectorStrPrinter._print_FunctionsmA    d1g0 1 1<''*226A:rB Bvv$..*F!FFFr6rN)r: __module__ __qualname____firstlineno____doc__r4r<__static_attributes__rr6r rrs1 +Gr6rc\rSrSrSrSrSrg)VectorStrReprPrinter&z+String repr printer for vector expressions.c[U5$r)repr)r0ss r _print_strVectorStrReprPrinter._print_str(s Awr6rN)r:r>r?r@rArIrBrr6r rDrD&s 5r6rDc<^\rSrSrSrSU4SjjrU4SjrSrU=r$)VectorLatexPrinter,z&Latex Printer for vector expressions. c>SSKJn URRnURn[ USU-5(a3[ [U5[5(d[USU-5"X5$[ [U5[5(abURU4:XaQ[U5nUb4URU[S5nURU5nU<SU<S3$[TU]AU5$[TU]EX5$)Nrr_print_Powz^{})r#rr,r:r$hasattrr(r)rgetattrr*r parenthesizer parenthesize_supersuper_printr<)r0exprexprr,rbase __class__s r r<"VectorLatexPrinter._print_Function/sAyy!!    D)d* + + tDz#4 5 54T!124= = T $5 6 6DII!^ SSKJn UR5n[U[5(dSUR U5-$UR m URnUR[5nURn[U 4SjU55(+n[U 4SjU55(+nU(dU(a[T U]5U5$[U5nURU5n U R!SS5n U Sn US:XaSU -n O3US :XaS U -n O'US :XaS U -n OUS :XaSU -n O[T U]5U5$[U 5S:wa U SU S-- n U $)Nrrz\left(%s\right)c3L># UHoRT1:XdMSv M g7f)TN) free_symbolsrs r r!7VectorLatexPrinter._print_Derivative..QsCc^^s-Bcs$ $c3.># UH nTU:Hv M g7frrrs r r!r`Rs-1Qs_z\dot{%s}z \ddot{%s}z \dddot{%s}z \ddddot{%s})r#rdoitr(rr/r$rXatomsrr'allrVr4lenr<split) r0der_exprrrXredsymstest1test2dotsrZ base_splitrr[s @r r4$VectorLatexPrinter._print_DerivativeEsHA==?(J//% X(>> >   }}jj&!!CcCCC---- E7,X6 64y##D)ZZQ' !} 19%D QY$&D QY 4'D QY!D(D7,X6 6 z?a  C*Q-' 'D r6rr) r:r>r?r@rAr<r4rB __classcell__r[s@r rLrL,s06,""r6rLc8^\rSrSrSrU4SjrU4SjrSrU=r$)VectorPrettyPrinterjz)Pretty Printer for vectorialexpressions. c4>SSKJn URnSn[[ UR 55n[ U5S:a?USU:XaUR5 US- nO[T U]%U5$[ U5S:aM?[[UR5[5(aURRU4:Xd[T U]%U5$URUR5n[ UR 5S:a[T U]%U5$US:a[T U]%U5$SSSS S S .nUR"nUR$(d/Sn ['SU5Hn U S - n M US S==U S-- ss'U$[)US SXt5/US 'U$)Nrrrcr8u̇üu⃛u⃜)rrcrdrerf'picturez(t))r#rr$listreversedr'rjpoprVr4r(r)rXrr*r<r}__dict__ _use_unicoderanger ) r0derivrrdot_irnpformrqd apostrophesrr[s r r4%VectorPrettyPrinter._print_DerivativemsA   HU__-.$i!mBx1}  w077 $i!m4 +->??QD(7,U3 3((4E u}}  !7,U3 3 A:7,U3 3,,32 4 NN  K1e_s" % iLO{U2 2O *!I,q/4;GHAiL r6c>SSKJn URnURnURnUR nUR [U55n[U[5(aXS4:Xd[TU]-U5$U$)Nrr) r#rr$r,r*r: _print_Symbolrr(rrVr<) r0r1rrr,r* func_namerr[s r r<#VectorPrettyPrinter._print_FunctionslA   vvvvMM ""6)#454!2337*1- - r6r) r:r>r?r@rAr4r<rBrtrus@r rwrwjs3.`  r6rwc T[U40UD6nSSKnUS:waX#l[U5 gg)aFunction for printing of expressions generated in the sympy.physics vector package. Extends SymPy's StrPrinter, takes the same setting accepted by SymPy's :func:`~.sstr`, and is equivalent to ``print(sstr(foo))``. Parameters ========== expr : valid SymPy object SymPy expression to print. settings : args Same as the settings accepted by SymPy's sstr(). Examples ======== >>> from sympy.physics.vector import vprint, dynamicsymbols >>> u1 = dynamicsymbols('u1') >>> print(u1) u1(t) >>> vprint(u1) u1 rNNone)rbuiltinsrbprint)rXsettingsoutstrrs r r r s/6T &X &F&  f  r6c :[U5nURU5$)zFunction for displaying expression representation's with vector printing enabled. Parameters ========== expr : valid SymPy object SymPy expression to print. settings : args Same as the settings accepted by SymPy's sstrrepr(). )rDr/)rXrps r rrs X&A 99T?r6c :[U5nURU5$)aEFunction for displaying expressions generated in the sympy.physics vector package. Returns the output of vprint() as a string. Parameters ========== expr : valid SymPy object SymPy expression to print settings : args Same as the settings accepted by SymPy's sstr(). Examples ======== >>> from sympy.physics.vector import vsprint, dynamicsymbols >>> u1, u2 = dynamicsymbols('u1 u2') >>> u2d = dynamicsymbols('u2', level=1) >>> print("%s = %s" % (u1, u2 + u2d)) u1(t) = u2(t) + Derivative(u2(t), t) >>> print("%s = %s" % (vsprint(u1), vsprint(u2 + u2d))) u1 = u2 + u2' )rr/)rXrstring_printers r rrs6&h/N  ! !$ ''r6c [U5nURSnSSKJn U"U5nUR U5U"U5 $!U"U5 f=f)aFunction for pretty printing of expressions generated in the sympy.physics vector package. Mainly used for expressions not inside a vector; the output of running scripts and generating equations of motion. Takes the same options as SymPy's :func:`~.pretty_print`; see that function for more information. Parameters ========== expr : valid SymPy object SymPy expression to pretty print settings : args Same as those accepted by SymPy's pretty_print. use_unicoder)pretty_use_unicode)rw _settings&sympy.printing.pretty.pretty_symbologyrr/)rXrpprruflags r rrsN& X &B ,,}-KI { +E"zz$5!5!s A A c :[U5nURU5$)aaFunction for printing latex representation of sympy.physics.vector objects. For latex representation of Vectors, Dyadics, and dynamicsymbols. Takes the same options as SymPy's :func:`~.latex`; see that function for more information; Parameters ========== expr : valid SymPy object SymPy expression to represent in LaTeX form settings : args Same as latex() Examples ======== >>> from sympy.physics.vector import vlatex, ReferenceFrame, dynamicsymbols >>> N = ReferenceFrame('N') >>> q1, q2 = dynamicsymbols('q1 q2') >>> q1d, q2d = dynamicsymbols('q1 q2', 1) >>> q1dd, q2dd = dynamicsymbols('q1 q2', 2) >>> vlatex(N.x + N.y) '\\mathbf{\\hat{n}_x} + \\mathbf{\\hat{n}_y}' >>> vlatex(q1 + q2) 'q_{1} + q_{2}' >>> vlatex(q1d) '\\dot{q}_{1}' >>> vlatex(q1 * q2d) 'q_{1} \\dot{q}_{2}' >>> vlatex(q1dd * q1 / q1d) '\\frac{q_{1} \\ddot{q}_{1}}{\\dot{q}_{1}}' )rLr/)rXr latex_printers r rr"s H'x0M   &&r6c P[US'[US'[US'[S0UD6 g)aInitializes time derivative printing for all SymPy objects, i.e. any functions of time will be displayed in a more compact notation. The main benefit of this is for printing of time derivatives; instead of displaying as ``Derivative(f(t),t)``, it will display ``f'``. This is only actually needed for when derivatives are present and are not in a physics.vector.Vector or physics.vector.Dyadic object. This function is a light wrapper to :func:`~.init_printing`. Any keyword arguments for it are valid here. {0} Examples ======== >>> from sympy import Function, symbols >>> t, x = symbols('t, x') >>> omega = Function('omega') >>> omega(x).diff() Derivative(omega(x), x) >>> omega(t).diff() Derivative(omega(t), t) Now use the string printer: >>> from sympy.physics.vector import init_vprinting >>> init_vprinting(pretty_print=False) >>> omega(x).diff() Derivative(omega(x), x) >>> omega(t).diff() omega' str_printerpretty_printerrNr)rrrr)kwargss r rrKs/B&F=&F $F?Fr6zExamples ========N)!sympy.core.functionrrrsympy.core.symbolrsympy.interactive.printingrsympy.printing.latexrsympy.printing.pretty.prettyr rr sympy.printing.strr sympy.printing.precedencer __all__rrDrLrwr rrrrrrArkparamsformatrr6r rs*?$4-6@)0 GzG.+ ;;|@-@F F"(>"D&'R$N    $ $%= >q A'//66v>r6