+ i.~^RIHt^RIHtHt^RIHt^RIHt^RIH t ^RI H t ^RI H t ^RIHt^R IHt.ROt!R R ]4t!R R ]4t!RR] 4t!RR] 4tRtRtRtRtRtRt]P:P=R4^,t]P:PA]4]nR#)) Derivative)UndefinedFunction AppliedUndef)Symbol) init_printing) LatexPrinter) PrettyPrinter) center_accent) StrPrinter) PRECEDENCEc0a]tRt^toRtRtRtRtVtR#)VectorStrPrinterz'String Printer for vector expressions. ca^RIHpVPo\\ V3RlVP 444\ \VP^,4\4,'dY\VP^,P4p\VP 4FwrEW2P, pK V#\4PV4#)rdynamicsymbolsc3,<"TF qS8HxK R#5iN.0its& [/var/www/html/photoedit/myenv/lib/python3.14/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^^$B!!++.)))/I<''* *c@^RIHpVPp\\ V4\ 4'd1\ 4PV4PRV,R4#VPPRVPVPR4,,#)rrz(%s)z, ) rrrr!r"rr r(replacer%__name__ stringifyr#)r)r*rrs&& r_print_Function VectorStrPrinter._print_FunctionsmA    d1g0 1 1<''*226A:rB Bvv$..*F!FFFr/rN) r3 __module__ __qualname____firstlineno____doc__r-r5__static_attributes____classdictcell__ __classdict__s@rrrs1 +GGr/rc*a]tRt^&toRtRtRtVtR#)VectorStrReprPrinterz+String repr printer for vector expressions.c\V4#r)repr)r)ss&&r _print_strVectorStrReprPrinter._print_str(s Awr/rN)r3r7r8r9r:rDr;r<r=s@rr@r@&s5r/r@cFaa]tRt^,toRtRV3RlltV3RltRtVtV;t #)VectorLatexPrinterz&Latex Printer for vector expressions. c"<^RIHpVPPpVPp\ VRV,4'd9\ \V4\4'g\VRV,4!W4#\ \V4\4'diVPV38XdW\V4pVe9VPV\R,4pVPV4pV: RV: R2#\SV`AV4#\SV`EW4#)rr_print_Powz^{})rrr%r3rhasattrr!r"rgetattrr#r parenthesizer parenthesize_supersuper_printr5)r)exprexprr%rbase __class__s&&& rr5"VectorLatexPrinter._print_Function/sAyy!!    D)d* + + tDz#4 5 54T!124= = T $5 6 6DII!.QsCc^^s-Bcs% %FTc3.<"TF pSV8HxK R#5irrrs& rrrZRs-1Qs_z\dot{%s}z \ddot{%s}z \dddot{%s}z \ddddot{%s})rrdoitr!rr(rrRatomsrr allrPr-lenr5split) r)der_exprrrRredsymstest1test2dotsrT base_splitrrUs && @rr-$VectorLatexPrinter._print_DerivativeEshA==?(J//% X(>> >   }}jj&!!CCcCCCCCcCCCC--CCC---- E7,X6 64y##D)ZZQ' !} 19%D QY$&D QY 4'D QY!D(D7,X6 6 z?a  C*Q-' 'D r/rr) r3r7r8r9r:r5r-r;r< __classcell__rUr>s@@rrGrG,s06,""r/rGcBaa]tRt^jtoRtV3RltV3RltRtVtV;t #)VectorPrettyPrinterz)Pretty Printer for vectorialexpressions. c z<^RIHpVPp^p\\ VP 44p\ V4^8d9VR ,V8XdVP4V^, pK9\S V`%V4#\\VP4\4'dVPPV38Xg\S V`%V4#VPVP4p\ VP 4^8d\S V`%V4#V^8d\S V`%V4#^R^R^R^R^R/pVP"pVP$'gDRp \'^V4F p V R, p K VR,^;;,V R ,, uu&V#\)VR,^,Wt,4.VR&V#) rrr1u̇üu⃛u⃜'picturez(t))rrrlistreversedr r`poprPr-r!r"rRrr#r5rp__dict__ _use_unicoderanger ) r)derivrrdot_irdpformrgd apostrophesrrUs && rr-%VectorPrettyPrinter._print_DerivativemsA   HU__-.$i!mBx1}  w0774 +->??QD(7,U3 3((4E u}}  !7,U3 3 A:7,U3 32,,32 4 NN   K1e_s" % iLO{U2 2O *!I,q/4;GHAiL r/c<^RIHpVPpVPpVPpVP pVP \V44p\V\4'dWS38Xg\SV`-V4#V#)rr) rrrr%r#r3 _print_Symbolrr!rrPr5) r)r*rrr%r# func_namerzrUs && rr5#VectorPrettyPrinter._print_FunctionslA   vvvvMM ""6)#454!2337*1- - r/r) r3r7r8r9r:r-r5r;r<rjrks@@rrmrmjs3.`  r/rmc Z\V3/VBp^RIpVR8wdW#n\V4R#R#)aFunction for printing of expressions generated in the sympy.physics vector package. Extends SymPy's StrPrinter, takes the same setting accepted by SymPy's :func:`~.sstr`, and is equivalent to ``print(sstr(foo))``. Parameters ========== expr : valid SymPy object SymPy expression to print. settings : args Same as the settings accepted by SymPy's sstr(). Examples ======== >>> from sympy.physics.vector import vprint, dynamicsymbols >>> u1 = dynamicsymbols('u1') >>> print(u1) u1(t) >>> vprint(u1) u1 NNone)vsprintbuiltinsr\print)rRsettingsoutstrrs&, rvprintrs/6T &X &F&  f  r/c :\V4pVPV4#)zFunction for displaying expression representation's with vector printing enabled. Parameters ========== expr : valid SymPy object SymPy expression to print. settings : args Same as the settings accepted by SymPy's sstrrepr(). )r@r()rRrps&, r vsstrreprrs X&A 99T?r/c :\V4pVPV4#)aEFunction for displaying expressions generated in the sympy.physics vector package. Returns the output of vprint() as a string. Parameters ========== expr : valid SymPy object SymPy expression to print settings : args Same as the settings accepted by SymPy's sstr(). Examples ======== >>> from sympy.physics.vector import vsprint, dynamicsymbols >>> u1, u2 = dynamicsymbols('u1 u2') >>> u2d = dynamicsymbols('u2', level=1) >>> print("%s = %s" % (u1, u2 + u2d)) u1(t) = u2(t) + Derivative(u2(t), t) >>> print("%s = %s" % (vsprint(u1), vsprint(u2 + u2d))) u1 = u2 + u2' )rr()rRrstring_printers&, rrrs6&h/N  ! !$ ''r/c \V4pVPR,p^RIHpV!V4pVP V4V!V4# T!T4i;i)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_unicode)pretty_use_unicode)rm _settings&sympy.printing.pretty.pretty_symbologyrr()rRrpprruflags&, rvpprintrsN& X &B ,,}-KI { +E"zz$5!5!s A Ac :\V4pVPV4#)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}}' )rGr()rRr latex_printers&, rvlatexr"s H'x0M   &&r/c R\VR&\VR&\VR&\R/VBR#)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,rinit_vprintingrKs/B&F=&F $F?Fr/zExamples ========N)rrrrrr)!sympy.core.functionrrrsympy.core.symbolrsympy.interactive.printingrsympy.printing.latexrsympy.printing.pretty.prettyr rr sympy.printing.strr sympy.printing.precedencer __all__rr@rGrmrrrrrrr:raparamsformatrr/rrs*?$4-6@)0 GzG.+ ;;|@-@F F"(>"D&'R$N    $ $%= >q A'//66v>r/