g.ddlmZddlmZmZddlmZddlmZddlm Z ddl m Z ddl m Z ddlmZdd lmZgd ZGd d eZGd deZGdde ZGdde ZdZdZdZdZdZdZejddZej ee_dS)) Derivative)UndefinedFunction AppliedUndef)Symbol) init_printing) LatexPrinter) PrettyPrinter) center_accent) StrPrinter) PRECEDENCE)vprint vsstrreprvsprintvpprintvlatexinit_vprintingceZdZdZdZdZdS)VectorStrPrinterz'String Printer for vector expressions. cddlm}|jtt fd|jDt t|jdtzrEt|jdj }t|jD]\}}||j z }|St|S)Nrdynamicsymbolsc3$K|] }|kV dSN.0its Y/var/www/html/ai-engine/env/lib/python3.11/site-packages/sympy/physics/vector/printing.py z5VectorStrPrinter._print_Derivative..s'11Q!V111111)sympy.physics.vector.functionsr_tboolsum variables isinstancetypeargsrstrfunc enumerate_strr doprint)selferolrvrs @r_print_Derivativez"VectorStrPrinter._print_DerivativesAAAAAA   1111Q[11111 2 24q ??,=>> ? +QVAY^$$B!!+.. * *1n))I<<''** *r!c&ddlm}|j}tt |t r8t |d|zdS|j j d| |j dzzS)Nrrz(%s)z, ) r"rr#r'r(rr r.replacer+__name__ stringifyr))r/r0rrs r_print_Functionz VectorStrPrinter._print_FunctionsAAAAAA   d1gg0 1 1 C<<''**226A:rBB Bv$..*F*F!FFFr!N)r7 __module__ __qualname____doc__r3r9rr!rrrs=11 + + +GGGGGr!rceZdZdZdZdS)VectorStrReprPrinterz+String repr printer for vector expressions.c t|Sr)repr)r/ss r _print_strzVectorStrReprPrinter._print_str(s Awwr!N)r7r:r;r<rBrr!rr>r>&s)55r!r>c.eZdZdZdfd ZfdZxZS)VectorLatexPrinterz&Latex Printer for vector expressions. NcZddlm}|jj}|j}t |d|zr?t t|tst|d|z||St t|tr||j |fkrpt|}|>| |td}||}|d|dSt|St||S)Nrr_print_Powz^{})r"rr+r7r#hasattrr'r(rgetattrr)r parenthesizer parenthesize_supersuper_printr9)r/exprexprr+rbase __class__s rr9z"VectorLatexPrinter._print_Function/s!AAAAAAy!   D)d* + + 6 tDzz#4 5 5 6274T!1224== = T $5 6 6 6DI!.Qs1CCQ^s-B-B-B-B-B-BCCr!c3$K|] }|kV dSrrrs rr z7VectorLatexPrinter._print_Derivative..Rs'--1Q------r!_z\dot{%s}z \ddot{%s}z \dddot{%s}z \ddddot{%s})r"rdoitr'rr.r#rOatomsrr&allrMr3lenr9split) r/der_exprrrOredsymstest1test2dotsrQ base_splitrrRs @rr3z$VectorLatexPrinter._print_DerivativeEsAAAAAA==??(J// ?% X(>(>> >  }jj&&!CCCCcCCCCCC----------  7E 777,,X66 64yy##D))ZZQ'' !} 199%DD QYY$&DD QYY 4'DD QYY!D(DD77,,X66 6 z??a   C*Q-' 'D r!r)r7r:r;r<r9r3 __classcell__rRs@rrDrD,s\00666666,"""""""""r!rDc,eZdZdZfdZfdZxZS)VectorPrettyPrinterz)Pretty Printer for vectorialexpressions. cddlm}|j}d}tt |j}t |dkrZ|d|kr||dz }n!t |St |dkZtt|j tr|j j|fks!t |S||j }t |jdkr!t |S|dkr!t |Sdddd d d }|j}|js4d} t'd|D]} | d z } |d dxx| dzz cc<n&t)|d d||g|d <|S)NrrrXr5u̇üu⃛u⃜)rrXrYrZr['picturez(t))r"rr#listreversedr&r_poprMr3r'r(rOrr)r9rp__dict__ _use_unicoderanger ) r/derivrrdot_ircpformrfd apostrophesrrRs rr3z%VectorPrettyPrinter._print_DerivativemsAAAAAA  HU_--..$ii!mmBx1}}  ww00777 $ii!mm4 ++->?? 5QD((77,,U33 3((44E u}   ! !77,,U33 3 A::77,,U33 3,,32 44 N  IK1e__ # #s" iLOOO{U2 2OOOO)!I,q/4;GGHAiL r!c ddlm}|j}|j}|j}|j}|t|}t|tr||fks!t |S|S)Nrr) r"rr#r+r)r7 _print_Symbolrr'rrMr9) r/r0rrr+r) func_nameryrRs rr9z#VectorPrettyPrinter._print_FunctionsAAAAAA  vvM ""6)#4#4554!233 .!77**1-- - r!)r7r:r;r<r3r9rhris@rrkrkjsX33.....`         r!rkc dt|fi|}ddl}|dkr||_t|dSdS)aJFunction 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)rbuiltinsrWprint)rOsettingsoutstrrs rr r sK6T & &X & &FOOO&  f  r!c Jt|}||S)a Function 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.)rOrps rrrs! X&&A 99T??r!c Jt|}||S)aFunction 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.)rOrstring_printers rrrs%6&h//N  ! !$ ' ''r!c t|}|jd}ddlm}||} ||||S#||wxYw)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)rk _settings&sympy.printing.pretty.pretty_symbologyrr.)rOrpprruflags rrrs& X & &B ,}-KIIIIII  { + +E"zz$5!!!!5!!!!s A Ac Jt|}||S)aFunction 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}}' )rDr.)rOr latex_printers rrr"s&H'x00M   & &&r!c Zt|d<t|d<t|d<tdi|dS)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 rrrKs>B&F=&F $F?Fr!zExamples ========N)!sympy.core.functionrrrsympy.core.symbolrsympy.interactive.printingrsympy.printing.latexrsympy.printing.pretty.prettyr rr sympy.printing.strr sympy.printing.precedencer __all__rr>rDrkr rrrrrr<r`paramsformatrr!rrs******????????$$$$$$444444------666666@@@@@@))))))000000   GGGGGzGGG.+ ;;;;;;;;|@@@@@-@@@F   F"(((>"""D&'&'&'R$$$N   $ $%= > >q A'/66v>>r!