How to use _print method in Slash

Best Python code snippet using slash

latex.py

Source:latex.py

...122            mul_symbol_table[self._settings['mul_symbol'] or 'dot']123        self._delim_dict = {'(': ')', '[': ']'}124    def parenthesize(self, item, level):125        if precedence(item) <= level:126            return r"\left(%s\right)" % self._print(item)127        else:128            return self._print(item)129    def doprint(self, expr):130        tex = Printer.doprint(self, expr)131        if self._settings['mode'] == 'plain':132            return tex133        elif self._settings['mode'] == 'inline':134            return r"$%s$" % tex135        elif self._settings['itex']:136            return r"$$%s$$" % tex137        else:138            env_str = self._settings['mode']139            return r"\begin{%s}%s\end{%s}" % (env_str, tex, env_str)140    def _needs_brackets(self, expr):141        """142        Returns True if the expression needs to be wrapped in brackets when143        printed, False otherwise. For example: a + b => True; a => False;144        10 => False; -10 => True.145        """146        return not ((expr.is_Integer and expr.is_nonnegative)147                or (expr.is_Atom and expr is not S.NegativeOne))148    def _needs_function_brackets(self, expr):149        """150        Returns True if the expression needs to be wrapped in brackets when151        passed as an argument to a function, False otherwise. This is a more152        liberal version of _needs_brackets, in that many expressions which need153        to be wrapped in brackets when added/subtracted/raised to a power do154        not need them when passed to a function. Such an example is a*b.155        """156        if not self._needs_brackets(expr):157            return False158        else:159            # Muls of the form a*b*c... can be folded160            if expr.is_Mul and not self._mul_is_clean(expr):161                return True162            # Pows which don't need brackets can be folded163            elif expr.is_Pow and not self._pow_is_clean(expr):164                return True165            # Add and Function always need brackets166            elif expr.is_Add or expr.is_Function:167                return True168            else:169                return False170    def _needs_mul_brackets(self, expr, last=False):171        """172        Returns True if the expression needs to be wrapped in brackets when173        printed as part of a Mul, False otherwise. This is True for Add,174        but also for some container objects that would not need brackets175        when appearing last in a Mul, e.g. an Integral. ``last=True``176        specifies that this expr is the last to appear in a Mul.177        """178        from sympy import Integral, Piecewise, Product, Sum179        return expr.is_Add or (not last and180            any([expr.has(x) for x in (Integral, Piecewise, Product, Sum)]))181    def _mul_is_clean(self, expr):182        for arg in expr.args:183            if arg.is_Function:184                return False185        return True186    def _pow_is_clean(self, expr):187        return not self._needs_brackets(expr.base)188    def _do_exponent(self, expr, exp):189        if exp is not None:190            return r"\left(%s\right)^{%s}" % (expr, exp)191        else:192            return expr193    def _print_bool(self, e):194        return r"\mathrm{%s}" % e195    _print_BooleanTrue = _print_bool196    _print_BooleanFalse = _print_bool197    def _print_NoneType(self, e):198        return r"\mathrm{%s}" % e199    def _print_Add(self, expr, order=None):200        if self.order == 'none':201            terms = list(expr.args)202        else:203            terms = self._as_ordered_terms(expr, order=order)204        tex = self._print(terms[0])205        for term in terms[1:]:206            if not _coeff_isneg(term):207                tex += " + " + self._print(term)208            else:209                tex += " - " + self._print(-term)210        return tex211    def _print_Float(self, expr):212        # Based off of that in StrPrinter213        dps = prec_to_dps(expr._prec)214        str_real = mlib.to_str(expr._mpf_, dps, strip_zeros=True)215        # Must always have a mul symbol (as 2.5 10^{20} just looks odd)216        # thus we use the number separator217        separator = self._settings['mul_symbol_latex_numbers']218        if 'e' in str_real:219            (mant, exp) = str_real.split('e')220            if exp[0] == '+':221                exp = exp[1:]222            return r"%s%s10^{%s}" % (mant, separator, exp)223        elif str_real == "+inf":224            return r"\infty"225        elif str_real == "-inf":226            return r"- \infty"227        else:228            return str_real229    def _print_Mul(self, expr):230        coeff, _ = expr.as_coeff_Mul()231        if not coeff.is_negative:232            tex = ""233        else:234            expr = -expr235            tex = "- "236        from sympy.simplify import fraction237        numer, denom = fraction(expr, exact=True)238        separator = self._settings['mul_symbol_latex']239        numbersep = self._settings['mul_symbol_latex_numbers']240        def convert(expr):241            if not expr.is_Mul:242                return str(self._print(expr))243            else:244                _tex = last_term_tex = ""245                if self.order not in ('old', 'none'):246                    args = expr.as_ordered_factors()247                else:248                    args = expr.args249                for i, term in enumerate(args):250                    term_tex = self._print(term)251                    if self._needs_mul_brackets(term, last=(i == len(args) - 1)):252                        term_tex = r"\left(%s\right)" % term_tex253                    if re.search("[0-9][} ]*$", last_term_tex) and \254                            re.match("[{ ]*[-+0-9]", term_tex):255                        # between two numbers256                        _tex += numbersep257                    elif _tex:258                        _tex += separator259                    _tex += term_tex260                    last_term_tex = term_tex261                return _tex262        if denom is S.One:263            # use the original expression here, since fraction() may have264            # altered it when producing numer and denom265            tex += convert(expr)266        else:267            snumer = convert(numer)268            sdenom = convert(denom)269            ldenom = len(sdenom.split())270            ratio = self._settings['long_frac_ratio']271            if self._settings['fold_short_frac'] \272                    and ldenom <= 2 and not "^" in sdenom:273                # handle short fractions274                if self._needs_mul_brackets(numer, last=False):275                    tex += r"\left(%s\right) / %s" % (snumer, sdenom)276                else:277                    tex += r"%s / %s" % (snumer, sdenom)278            elif len(snumer.split()) > ratio*ldenom:279                # handle long fractions280                if self._needs_mul_brackets(numer, last=True):281                    tex += r"\frac{1}{%s}%s\left(%s\right)" \282                        % (sdenom, separator, snumer)283                elif numer.is_Mul:284                    # split a long numerator285                    a = S.One286                    b = S.One287                    for x in numer.args:288                        if self._needs_mul_brackets(x, last=False) or \289                                len(convert(a*x).split()) > ratio*ldenom or \290                                (b.is_commutative is x.is_commutative is False):291                            b *= x292                        else:293                            a *= x294                    if self._needs_mul_brackets(b, last=True):295                        tex += r"\frac{%s}{%s}%s\left(%s\right)" \296                            % (convert(a), sdenom, separator, convert(b))297                    else:298                        tex += r"\frac{%s}{%s}%s%s" \299                            % (convert(a), sdenom, separator, convert(b))300                else:301                    tex += r"\frac{1}{%s}%s%s" % (sdenom, separator, snumer)302            else:303                tex += r"\frac{%s}{%s}" % (snumer, sdenom)304        return tex305    def _print_Pow(self, expr):306        # Treat x**Rational(1,n) as special case307        if expr.exp.is_Rational and abs(expr.exp.p) == 1 and expr.exp.q != 1:308            base = self._print(expr.base)309            expq = expr.exp.q310            if expq == 2:311                tex = r"\sqrt{%s}" % base312            elif self._settings['itex']:313                tex = r"\root{%d}{%s}" % (expq, base)314            else:315                tex = r"\sqrt[%d]{%s}" % (expq, base)316            if expr.exp.is_negative:317                return r"\frac{1}{%s}" % tex318            else:319                return tex320        elif self._settings['fold_frac_powers'] \321            and expr.exp.is_Rational \322                and expr.exp.q != 1:323            base, p, q = self._print(expr.base), expr.exp.p, expr.exp.q324            if expr.base.is_Function:325                return self._print(expr.base, "%s/%s" % (p, q))326            if self._needs_brackets(expr.base):327                return r"\left(%s\right)^{%s/%s}" % (base, p, q)328            return r"%s^{%s/%s}" % (base, p, q)329        elif expr.exp.is_Rational and expr.exp.is_negative and expr.base.is_commutative:330            # Things like 1/x331            return self._print_Mul(expr)332        else:333            if expr.base.is_Function:334                return self._print(expr.base, self._print(expr.exp))335            else:336                if expr.is_commutative and expr.exp == -1:337                    #solves issue 4129338                    #As Mul always simplify 1/x to x**-1339                    #The objective is achieved with this hack340                    #first we get the latex for -1 * expr,341                    #which is a Mul expression342                    tex = self._print(S.NegativeOne * expr).strip()343                    #the result comes with a minus and a space, so we remove344                    if tex[:1] == "-":345                        return tex[1:].strip()346                if self._needs_brackets(expr.base):347                    tex = r"\left(%s\right)^{%s}"348                else:349                    tex = r"%s^{%s}"350                return tex % (self._print(expr.base),351                              self._print(expr.exp))352    def _print_Sum(self, expr):353        if len(expr.limits) == 1:354            tex = r"\sum_{%s=%s}^{%s} " % \355                tuple([ self._print(i) for i in expr.limits[0] ])356        else:357            def _format_ineq(l):358                return r"%s \leq %s \leq %s" % \359                    tuple([self._print(s) for s in (l[1], l[0], l[2])])360            tex = r"\sum_{\substack{%s}} " % \361                str.join('\\\\', [ _format_ineq(l) for l in expr.limits ])362        if isinstance(expr.function, Add):363            tex += r"\left(%s\right)" % self._print(expr.function)364        else:365            tex += self._print(expr.function)366        return tex367    def _print_Product(self, expr):368        if len(expr.limits) == 1:369            tex = r"\prod_{%s=%s}^{%s} " % \370                tuple([ self._print(i) for i in expr.limits[0] ])371        else:372            def _format_ineq(l):373                return r"%s \leq %s \leq %s" % \374                    tuple([self._print(s) for s in (l[1], l[0], l[2])])375            tex = r"\prod_{\substack{%s}} " % \376                str.join('\\\\', [ _format_ineq(l) for l in expr.limits ])377        if isinstance(expr.function, Add):378            tex += r"\left(%s\right)" % self._print(expr.function)379        else:380            tex += self._print(expr.function)381        return tex382    def _print_BasisDependent(self, expr):383        from sympy.vector import Vector384        o1 = []385        if expr == expr.zero:386            return expr.zero._latex_form387        if isinstance(expr, Vector):388            items = expr.separate().items()389        else:390            items = [(0, expr)]391        for system, vect in items:392            inneritems = list(vect.components.items())393            inneritems.sort(key = lambda x:x[0].__str__())394            for k, v in inneritems:395                if v == 1:396                    o1.append(' + ' + k._latex_form)397                elif v == -1:398                    o1.append(' - ' + k._latex_form)399                else:400                    arg_str = '(' + LatexPrinter().doprint(v) + ')'401                    o1.append(' + ' + arg_str + k._latex_form)402        outstr = (''.join(o1))403        if outstr[1] != '-':404            outstr = outstr[3:]405        else:406            outstr = outstr[1:]407        return outstr408    def _print_Indexed(self, expr):409        tex = self._print(expr.base)+'_{%s}' % ','.join(410            map(self._print, expr.indices))411        return tex412    def _print_IndexedBase(self, expr):413        return self._print(expr.label)414    def _print_Derivative(self, expr):415        dim = len(expr.variables)416        if requires_partial(expr):417            diff_symbol = r'\partial'418        else:419            diff_symbol = r'd'420        if dim == 1:421            tex = r"\frac{%s}{%s %s}" % (diff_symbol, diff_symbol,422                self._print(expr.variables[0]))423        else:424            multiplicity, i, tex = [], 1, ""425            current = expr.variables[0]426            for symbol in expr.variables[1:]:427                if symbol == current:428                    i = i + 1429                else:430                    multiplicity.append((current, i))431                    current, i = symbol, 1432            else:433                multiplicity.append((current, i))434            for x, i in multiplicity:435                if i == 1:436                    tex += r"%s %s" % (diff_symbol, self._print(x))437                else:438                    tex += r"%s %s^{%s}" % (diff_symbol, self._print(x), i)439            tex = r"\frac{%s^{%s}}{%s} " % (diff_symbol, dim, tex)440        if isinstance(expr.expr, C.AssocOp):441            return r"%s\left(%s\right)" % (tex, self._print(expr.expr))442        else:443            return r"%s %s" % (tex, self._print(expr.expr))444    def _print_Subs(self, subs):445        expr, old, new = subs.args446        latex_expr = self._print(expr)447        latex_old = (self._print(e) for e in old)448        latex_new = (self._print(e) for e in new)449        latex_subs = r'\\ '.join(450            e[0] + '=' + e[1] for e in zip(latex_old, latex_new))451        return r'\left. %s \right|_{\substack{ %s }}' % (latex_expr, latex_subs)452    def _print_Integral(self, expr):453        tex, symbols = "", []454        # Only up to \iiiint exists455        if len(expr.limits) <= 4 and all(len(lim) == 1 for lim in expr.limits):456            # Use len(expr.limits)-1 so that syntax highlighters don't think457            # \" is an escaped quote458            tex = r"\i" + "i"*(len(expr.limits) - 1) + "nt"459            symbols = [r"\, d%s" % self._print(symbol[0])460                       for symbol in expr.limits]461        else:462            for lim in reversed(expr.limits):463                symbol = lim[0]464                tex += r"\int"465                if len(lim) > 1:466                    if self._settings['mode'] in ['equation', 'equation*'] \467                            and not self._settings['itex']:468                        tex += r"\limits"469                    if len(lim) == 3:470                        tex += "_{%s}^{%s}" % (self._print(lim[1]),471                                               self._print(lim[2]))472                    if len(lim) == 2:473                        tex += "^{%s}" % (self._print(lim[1]))474                symbols.insert(0, r"\, d%s" % self._print(symbol))475        return r"%s %s%s" % (tex,476            str(self._print(expr.function)), "".join(symbols))477    def _print_Limit(self, expr):478        e, z, z0, dir = expr.args479        tex = r"\lim_{%s \to " % self._print(z)480        if z0 in (S.Infinity, S.NegativeInfinity):481            tex += r"%s}" % self._print(z0)482        else:483            tex += r"%s^%s}" % (self._print(z0), self._print(dir))484        if isinstance(e, C.AssocOp):485            return r"%s\left(%s\right)" % (tex, self._print(e))486        else:487            return r"%s %s" % (tex, self._print(e))488    def _hprint_Function(self, func):489        '''490        Logic to decide how to render a function to latex491          - if it is a recognized latex name, use the appropriate latex command492          - if it is a single letter, just use that letter493          - if it is a longer name, then put \operatorname{} around it and be494            mindful of undercores in the name495        '''496        func = self._deal_with_super_sub(func)497        if func in accepted_latex_functions:498            name = r"\%s" % func499        elif len(func) == 1 or func.startswith('\\'):500            name = func501        else:502            name = r"\operatorname{%s}" % func503        return name504    def _print_Function(self, expr, exp=None):505        '''506        Render functions to LaTeX, handling functions that LaTeX knows about507        e.g., sin, cos, ... by using the proper LaTeX command (\sin, \cos, ...).508        For single-letter function names, render them as regular LaTeX math509        symbols. For multi-letter function names that LaTeX does not know510        about, (e.g., Li, sech) use \operatorname{} so that the function name511        is rendered in Roman font and LaTeX handles spacing properly.512        expr is the expression involving the function513        exp is an exponent514        '''515        func = expr.func.__name__516        if hasattr(self, '_print_' + func):517            return getattr(self, '_print_' + func)(expr, exp)518        else:519            args = [ str(self._print(arg)) for arg in expr.args ]520            # How inverse trig functions should be displayed, formats are:521            # abbreviated: asin, full: arcsin, power: sin^-1522            inv_trig_style = self._settings['inv_trig_style']523            # If we are dealing with a power-style inverse trig function524            inv_trig_power_case = False525            # If it is applicable to fold the argument brackets526            can_fold_brackets = self._settings['fold_func_brackets'] and \527                len(args) == 1 and \528                not self._needs_function_brackets(expr.args[0])529            inv_trig_table = ["asin", "acos", "atan", "acot"]530            # If the function is an inverse trig function, handle the style531            if func in inv_trig_table:532                if inv_trig_style == "abbreviated":533                    func = func534                elif inv_trig_style == "full":535                    func = "arc" + func[1:]536                elif inv_trig_style == "power":537                    func = func[1:]538                    inv_trig_power_case = True539                    # Can never fold brackets if we're raised to a power540                    if exp is not None:541                        can_fold_brackets = False542            if inv_trig_power_case:543                if func in accepted_latex_functions:544                    name = r"\%s^{-1}" % func545                else:546                    name = r"\operatorname{%s}^{-1}" % func547            elif exp is not None:548                name = r'%s^{%s}' % (self._hprint_Function(func), exp)549            else:550                name = self._hprint_Function(func)551            if can_fold_brackets:552                if func in accepted_latex_functions:553                    # Wrap argument safely to avoid parse-time conflicts554                    # with the function name itself555                    name += r" {%s}"556                else:557                    name += r"%s"558            else:559                name += r"{\left (%s \right )}"560            if inv_trig_power_case and exp is not None:561                name += r"^{%s}" % exp562            return name % ",".join(args)563    def _print_UndefinedFunction(self, expr):564        return self._hprint_Function(str(expr))565    def _print_FunctionClass(self, expr):566        if hasattr(expr, '_latex_no_arg'):567            return expr._latex_no_arg(self)568        return self._hprint_Function(str(expr))569    def _print_Lambda(self, expr):570        symbols, expr = expr.args571        if len(symbols) == 1:572            symbols = self._print(symbols[0])573        else:574            symbols = self._print(tuple(symbols))575        args = (symbols, self._print(expr))576        tex = r"\left( %s \mapsto %s \right)" % (symbols, self._print(expr))577        return tex578    def _print_Min(self, expr, exp=None):579        args = sorted(expr.args, key=default_sort_key)580        texargs = [r"%s" % self._print(symbol) for symbol in args]581        tex = r"\min\left(%s\right)" % ", ".join(texargs)582        if exp is not None:583            return r"%s^{%s}" % (tex, exp)584        else:585            return tex586    def _print_Max(self, expr, exp=None):587        args = sorted(expr.args, key=default_sort_key)588        texargs = [r"%s" % self._print(symbol) for symbol in args]589        tex = r"\max\left(%s\right)" % ", ".join(texargs)590        if exp is not None:591            return r"%s^{%s}" % (tex, exp)592        else:593            return tex594    def _print_floor(self, expr, exp=None):595        tex = r"\lfloor{%s}\rfloor" % self._print(expr.args[0])596        if exp is not None:597            return r"%s^{%s}" % (tex, exp)598        else:599            return tex600    def _print_ceiling(self, expr, exp=None):601        tex = r"\lceil{%s}\rceil" % self._print(expr.args[0])602        if exp is not None:603            return r"%s^{%s}" % (tex, exp)604        else:605            return tex606    def _print_Abs(self, expr, exp=None):607        tex = r"\left\lvert{%s}\right\rvert" % self._print(expr.args[0])608        if exp is not None:609            return r"%s^{%s}" % (tex, exp)610        else:611            return tex612    _print_Determinant = _print_Abs613    def _print_re(self, expr, exp=None):614        if self._needs_brackets(expr.args[0]):615            tex = r"\Re {\left (%s \right )}" % self._print(expr.args[0])616        else:617            tex = r"\Re{%s}" % self._print(expr.args[0])618        return self._do_exponent(tex, exp)619    def _print_im(self, expr, exp=None):620        if self._needs_brackets(expr.args[0]):621            tex = r"\Im {\left ( %s \right )}" % self._print(expr.args[0])622        else:623            tex = r"\Im{%s}" % self._print(expr.args[0])624        return self._do_exponent(tex, exp)625    def _print_Not(self, e):626        from sympy import Equivalent, Implies627        if isinstance(e.args[0], Equivalent):628            return self._print_Equivalent(e.args[0], r"\not\equiv")629        if isinstance(e.args[0], Implies):630            return self._print_Implies(e.args[0], r"\not\Rightarrow")631        if (e.args[0].is_Boolean):632            return r"\neg (%s)" % self._print(e.args[0])633        else:634            return r"\neg %s" % self._print(e.args[0])635    def _print_LogOp(self, args, char):636        arg = args[0]637        if arg.is_Boolean and not arg.is_Not:638            tex = r"\left(%s\right)" % self._print(arg)639        else:640            tex = r"%s" % self._print(arg)641        for arg in args[1:]:642            if arg.is_Boolean and not arg.is_Not:643                tex += r" %s \left(%s\right)" % (char, self._print(arg))644            else:645                tex += r" %s %s" % (char, self._print(arg))646        return tex647    def _print_And(self, e):648        args = sorted(e.args, key=default_sort_key)649        return self._print_LogOp(args, r"\wedge")650    def _print_Or(self, e):651        args = sorted(e.args, key=default_sort_key)652        return self._print_LogOp(args, r"\vee")653    def _print_Xor(self, e):654        args = sorted(e.args, key=default_sort_key)655        return self._print_LogOp(args, r"\veebar")656    def _print_Implies(self, e, altchar=None):657        return self._print_LogOp(e.args, altchar or r"\Rightarrow")658    def _print_Equivalent(self, e, altchar=None):659        args = sorted(e.args, key=default_sort_key)660        return self._print_LogOp(args, altchar or r"\equiv")661    def _print_conjugate(self, expr, exp=None):662        tex = r"\overline{%s}" % self._print(expr.args[0])663        if exp is not None:664            return r"%s^{%s}" % (tex, exp)665        else:666            return tex667    def _print_polar_lift(self, expr, exp=None):668        func = r"\operatorname{polar\_lift}"669        arg = r"{\left (%s \right )}" % self._print(expr.args[0])670        if exp is not None:671            return r"%s^{%s}%s" % (func, exp, arg)672        else:673            return r"%s%s" % (func, arg)674    def _print_ExpBase(self, expr, exp=None):675        # TODO should exp_polar be printed differently?676        #      what about exp_polar(0), exp_polar(1)?677        tex = r"e^{%s}" % self._print(expr.args[0])678        return self._do_exponent(tex, exp)679    def _print_elliptic_k(self, expr, exp=None):680        tex = r"\left(%s\right)" % self._print(expr.args[0])681        if exp is not None:682            return r"K^{%s}%s" % (exp, tex)683        else:684            return r"K%s" % tex685    def _print_elliptic_f(self, expr, exp=None):686        tex = r"\left(%s\middle| %s\right)" % \687            (self._print(expr.args[0]), self._print(expr.args[1]))688        if exp is not None:689            return r"F^{%s}%s" % (exp, tex)690        else:691            return r"F%s" % tex692    def _print_elliptic_e(self, expr, exp=None):693        if len(expr.args) == 2:694            tex = r"\left(%s\middle| %s\right)" % \695                (self._print(expr.args[0]), self._print(expr.args[1]))696        else:697            tex = r"\left(%s\right)" % self._print(expr.args[0])698        if exp is not None:699            return r"E^{%s}%s" % (exp, tex)700        else:701            return r"E%s" % tex702    def _print_elliptic_pi(self, expr, exp=None):703        if len(expr.args) == 3:704            tex = r"\left(%s; %s\middle| %s\right)" % \705                (self._print(expr.args[0]), self._print(expr.args[1]), \706                 self._print(expr.args[2]))707        else:708            tex = r"\left(%s\middle| %s\right)" % \709                (self._print(expr.args[0]), self._print(expr.args[1]))710        if exp is not None:711            return r"\Pi^{%s}%s" % (exp, tex)712        else:713            return r"\Pi%s" % tex714    def _print_gamma(self, expr, exp=None):715        tex = r"\left(%s\right)" % self._print(expr.args[0])716        if exp is not None:717            return r"\Gamma^{%s}%s" % (exp, tex)718        else:719            return r"\Gamma%s" % tex720    def _print_uppergamma(self, expr, exp=None):721        tex = r"\left(%s, %s\right)" % (self._print(expr.args[0]),722                                        self._print(expr.args[1]))723        if exp is not None:724            return r"\Gamma^{%s}%s" % (exp, tex)725        else:726            return r"\Gamma%s" % tex727    def _print_lowergamma(self, expr, exp=None):728        tex = r"\left(%s, %s\right)" % (self._print(expr.args[0]),729                                        self._print(expr.args[1]))730        if exp is not None:731            return r"\gamma^{%s}%s" % (exp, tex)732        else:733            return r"\gamma%s" % tex734    def _print_expint(self, expr, exp=None):735        tex = r"\left(%s\right)" % self._print(expr.args[1])736        nu = self._print(expr.args[0])737        if exp is not None:738            return r"\operatorname{E}_{%s}^{%s}%s" % (nu, exp, tex)739        else:740            return r"\operatorname{E}_{%s}%s" % (nu, tex)741    def _print_fresnels(self, expr, exp=None):742        tex = r"\left(%s\right)" % self._print(expr.args[0])743        if exp is not None:744            return r"S^{%s}%s" % (exp, tex)745        else:746            return r"S%s" % tex747    def _print_fresnelc(self, expr, exp=None):748        tex = r"\left(%s\right)" % self._print(expr.args[0])749        if exp is not None:750            return r"C^{%s}%s" % (exp, tex)751        else:752            return r"C%s" % tex753    def _print_subfactorial(self, expr, exp=None):754        x = expr.args[0]755        if self._needs_brackets(x):756            tex = r"!\left(%s\right)" % self._print(x)757        else:758            tex = "!" + self._print(x)759        if exp is not None:760            return r"%s^{%s}" % (tex, exp)761        else:762            return tex763    def _print_factorial(self, expr, exp=None):764        x = expr.args[0]765        if self._needs_brackets(x):766            tex = r"\left(%s\right)!" % self._print(x)767        else:768            tex = self._print(x) + "!"769        if exp is not None:770            return r"%s^{%s}" % (tex, exp)771        else:772            return tex773    def _print_factorial2(self, expr, exp=None):774        x = expr.args[0]775        if self._needs_brackets(x):776            tex = r"\left(%s\right)!!" % self._print(x)777        else:778            tex = self._print(x) + "!!"779        if exp is not None:780            return r"%s^{%s}" % (tex, exp)781        else:782            return tex783    def _print_binomial(self, expr, exp=None):784        tex = r"{\binom{%s}{%s}}" % (self._print(expr.args[0]),785                                     self._print(expr.args[1]))786        if exp is not None:787            return r"%s^{%s}" % (tex, exp)788        else:789            return tex790    def _print_RisingFactorial(self, expr, exp=None):791        tex = r"{\left(%s\right)}^{\left(%s\right)}" % \792            (self._print(expr.args[0]), self._print(expr.args[1]))793        return self._do_exponent(tex, exp)794    def _print_FallingFactorial(self, expr, exp=None):795        tex = r"{\left(%s\right)}_{\left(%s\right)}" % \796            (self._print(expr.args[0]), self._print(expr.args[1]))797        return self._do_exponent(tex, exp)798    def _hprint_BesselBase(self, expr, exp, sym):799        tex = r"%s" % (sym)800        need_exp = False801        if exp is not None:802            if tex.find('^') == -1:803                tex = r"%s^{%s}" % (tex, self._print(exp))804            else:805                need_exp = True806        tex = r"%s_{%s}\left(%s\right)" % (tex, self._print(expr.order),807                                           self._print(expr.argument))808        if need_exp:809            tex = self._do_exponent(tex, exp)810        return tex811    def _hprint_vec(self, vec):812        if len(vec) == 0:813            return ""814        s = ""815        for i in vec[:-1]:816            s += "%s, " % self._print(i)817        s += self._print(vec[-1])818        return s819    def _print_besselj(self, expr, exp=None):820        return self._hprint_BesselBase(expr, exp, 'J')821    def _print_besseli(self, expr, exp=None):822        return self._hprint_BesselBase(expr, exp, 'I')823    def _print_besselk(self, expr, exp=None):824        return self._hprint_BesselBase(expr, exp, 'K')825    def _print_bessely(self, expr, exp=None):826        return self._hprint_BesselBase(expr, exp, 'Y')827    def _print_yn(self, expr, exp=None):828        return self._hprint_BesselBase(expr, exp, 'y')829    def _print_jn(self, expr, exp=None):830        return self._hprint_BesselBase(expr, exp, 'j')831    def _print_hankel1(self, expr, exp=None):832        return self._hprint_BesselBase(expr, exp, 'H^{(1)}')833    def _print_hankel2(self, expr, exp=None):834        return self._hprint_BesselBase(expr, exp, 'H^{(2)}')835    def _hprint_airy(self, expr, exp=None, notation=""):836        tex = r"\left(%s\right)" % self._print(expr.args[0])837        if exp is not None:838            return r"%s^{%s}%s" % (notation, exp, tex)839        else:840            return r"%s%s" % (notation, tex)841    def _hprint_airy_prime(self, expr, exp=None, notation=""):842        tex = r"\left(%s\right)" % self._print(expr.args[0])843        if exp is not None:844            return r"{%s^\prime}^{%s}%s" % (notation, exp, tex)845        else:846            return r"%s^\prime%s" % (notation, tex)847    def _print_airyai(self, expr, exp=None):848        return self._hprint_airy(expr, exp, 'Ai')849    def _print_airybi(self, expr, exp=None):850        return self._hprint_airy(expr, exp, 'Bi')851    def _print_airyaiprime(self, expr, exp=None):852        return self._hprint_airy_prime(expr, exp, 'Ai')853    def _print_airybiprime(self, expr, exp=None):854        return self._hprint_airy_prime(expr, exp, 'Bi')855    def _print_hyper(self, expr, exp=None):856        tex = r"{{}_{%s}F_{%s}\left(\begin{matrix} %s \\ %s \end{matrix}" \857              r"\middle| {%s} \right)}" % \858            (self._print(len(expr.ap)), self._print(len(expr.bq)),859              self._hprint_vec(expr.ap), self._hprint_vec(expr.bq),860              self._print(expr.argument))861        if exp is not None:862            tex = r"{%s}^{%s}" % (tex, self._print(exp))863        return tex864    def _print_meijerg(self, expr, exp=None):865        tex = r"{G_{%s, %s}^{%s, %s}\left(\begin{matrix} %s & %s \\" \866              r"%s & %s \end{matrix} \middle| {%s} \right)}" % \867            (self._print(len(expr.ap)), self._print(len(expr.bq)),868              self._print(len(expr.bm)), self._print(len(expr.an)),869              self._hprint_vec(expr.an), self._hprint_vec(expr.aother),870              self._hprint_vec(expr.bm), self._hprint_vec(expr.bother),871              self._print(expr.argument))872        if exp is not None:873            tex = r"{%s}^{%s}" % (tex, self._print(exp))874        return tex875    def _print_dirichlet_eta(self, expr, exp=None):876        tex = r"\left(%s\right)" % self._print(expr.args[0])877        if exp is not None:878            return r"\eta^{%s}%s" % (self._print(exp), tex)879        return r"\eta%s" % tex880    def _print_zeta(self, expr, exp=None):881        if len(expr.args) == 2:882            tex = r"\left(%s, %s\right)" % tuple(map(self._print, expr.args))883        else:884            tex = r"\left(%s\right)" % self._print(expr.args[0])885        if exp is not None:886            return r"\zeta^{%s}%s" % (self._print(exp), tex)887        return r"\zeta%s" % tex888    def _print_lerchphi(self, expr, exp=None):889        tex = r"\left(%s, %s, %s\right)" % tuple(map(self._print, expr.args))890        if exp is None:891            return r"\Phi%s" % tex892        return r"\Phi^{%s}%s" % (self._print(exp), tex)893    def _print_polylog(self, expr, exp=None):894        s, z = map(self._print, expr.args)895        tex = r"\left(%s\right)" % z896        if exp is None:897            return r"\operatorname{Li}_{%s}%s" % (s, tex)898        return r"\operatorname{Li}_{%s}^{%s}%s" % (s, self._print(exp), tex)899    def _print_jacobi(self, expr, exp=None):900        n, a, b, x = map(self._print, expr.args)901        tex = r"P_{%s}^{\left(%s,%s\right)}\left(%s\right)" % (n, a, b, x)902        if exp is not None:903            tex = r"\left(" + tex + r"\right)^{%s}" % (self._print(exp))904        return tex905    def _print_gegenbauer(self, expr, exp=None):906        n, a, x = map(self._print, expr.args)907        tex = r"C_{%s}^{\left(%s\right)}\left(%s\right)" % (n, a, x)908        if exp is not None:909            tex = r"\left(" + tex + r"\right)^{%s}" % (self._print(exp))910        return tex911    def _print_chebyshevt(self, expr, exp=None):912        n, x = map(self._print, expr.args)913        tex = r"T_{%s}\left(%s\right)" % (n, x)914        if exp is not None:915            tex = r"\left(" + tex + r"\right)^{%s}" % (self._print(exp))916        return tex917    def _print_chebyshevu(self, expr, exp=None):918        n, x = map(self._print, expr.args)919        tex = r"U_{%s}\left(%s\right)" % (n, x)920        if exp is not None:921            tex = r"\left(" + tex + r"\right)^{%s}" % (self._print(exp))922        return tex923    def _print_legendre(self, expr, exp=None):924        n, x = map(self._print, expr.args)925        tex = r"P_{%s}\left(%s\right)" % (n, x)926        if exp is not None:927            tex = r"\left(" + tex + r"\right)^{%s}" % (self._print(exp))928        return tex929    def _print_assoc_legendre(self, expr, exp=None):930        n, a, x = map(self._print, expr.args)931        tex = r"P_{%s}^{\left(%s\right)}\left(%s\right)" % (n, a, x)932        if exp is not None:933            tex = r"\left(" + tex + r"\right)^{%s}" % (self._print(exp))934        return tex935    def _print_hermite(self, expr, exp=None):936        n, x = map(self._print, expr.args)937        tex = r"H_{%s}\left(%s\right)" % (n, x)938        if exp is not None:939            tex = r"\left(" + tex + r"\right)^{%s}" % (self._print(exp))940        return tex941    def _print_laguerre(self, expr, exp=None):942        n, x = map(self._print, expr.args)943        tex = r"L_{%s}\left(%s\right)" % (n, x)944        if exp is not None:945            tex = r"\left(" + tex + r"\right)^{%s}" % (self._print(exp))946        return tex947    def _print_assoc_laguerre(self, expr, exp=None):948        n, a, x = map(self._print, expr.args)949        tex = r"L_{%s}^{\left(%s\right)}\left(%s\right)" % (n, a, x)950        if exp is not None:951            tex = r"\left(" + tex + r"\right)^{%s}" % (self._print(exp))952        return tex953    def _print_Ynm(self, expr, exp=None):954        n, m, theta, phi = map(self._print, expr.args)955        tex = r"Y_{%s}^{%s}\left(%s,%s\right)" % (n, m, theta, phi)956        if exp is not None:957            tex = r"\left(" + tex + r"\right)^{%s}" % (self._print(exp))958        return tex959    def _print_Znm(self, expr, exp=None):960        n, m, theta, phi = map(self._print, expr.args)961        tex = r"Z_{%s}^{%s}\left(%s,%s\right)" % (n, m, theta, phi)962        if exp is not None:963            tex = r"\left(" + tex + r"\right)^{%s}" % (self._print(exp))964        return tex965    def _print_Rational(self, expr):966        if expr.q != 1:967            sign = ""968            p = expr.p969            if expr.p < 0:970                sign = "- "971                p = -p972            return r"%s\frac{%d}{%d}" % (sign, p, expr.q)973        else:974            return self._print(expr.p)975    def _print_Order(self, expr):976        s = self._print(expr.expr)977        if expr.point and any(p != S.Zero for p in expr.point) or \978           len(expr.variables) > 1:979            s += '; '980            if len(expr.variables) > 1:981                s += self._print(expr.variables)982            elif len(expr.variables):983                s += self._print(expr.variables[0])984            s += r'\rightarrow'985            if len(expr.point) > 1:986                s += self._print(expr.point)987            else:988                s += self._print(expr.point[0])989        return r"\mathcal{O}\left(%s\right)" % s990    def _print_Symbol(self, expr):991        if expr in self._settings['symbol_names']:992            return self._settings['symbol_names'][expr]993        return self._deal_with_super_sub(expr.name)994    _print_RandomSymbol = _print_Symbol995    _print_MatrixSymbol = _print_Symbol996    def _deal_with_super_sub(self, string):997        name, supers, subs = split_super_sub(string)998        name = translate(name)999        supers = [translate(sup) for sup in supers]1000        subs = [translate(sub) for sub in subs]1001        # glue all items together:1002        if len(supers) > 0:1003            name += "^{%s}" % " ".join(supers)1004        if len(subs) > 0:1005            name += "_{%s}" % " ".join(subs)1006        return name1007    def _print_Relational(self, expr):1008        if self._settings['itex']:1009            gt = r"\gt"1010            lt = r"\lt"1011        else:1012            gt = ">"1013            lt = "<"1014        charmap = {1015            "==": "=",1016            ">": gt,1017            "<": lt,1018            ">=": r"\geq",1019            "<=": r"\leq",1020            "!=": r"\neq",1021        }1022        return "%s %s %s" % (self._print(expr.lhs),1023            charmap[expr.rel_op], self._print(expr.rhs))1024    def _print_Piecewise(self, expr):1025        ecpairs = [r"%s & \text{for}\: %s" % (self._print(e), self._print(c))1026                   for e, c in expr.args[:-1]]1027        if expr.args[-1].cond == true:1028            ecpairs.append(r"%s & \text{otherwise}" %1029                           self._print(expr.args[-1].expr))1030        else:1031            ecpairs.append(r"%s & \text{for}\: %s" %1032                           (self._print(expr.args[-1].expr),1033                            self._print(expr.args[-1].cond)))1034        tex = r"\begin{cases} %s \end{cases}"1035        return tex % r" \\".join(ecpairs)1036    def _print_MatrixBase(self, expr):1037        lines = []1038        for line in range(expr.rows):  # horrible, should be 'rows'1039            lines.append(" & ".join([ self._print(i) for i in expr[line, :] ]))1040        mat_str = self._settings['mat_str']1041        if mat_str is None:1042            if self._settings['mode'] == 'inline':1043                mat_str = 'smallmatrix'1044            else:1045                if (expr.cols <= 10) is True:1046                    mat_str = 'matrix'1047                else:1048                    mat_str = 'array'1049        out_str = r'\begin{%MATSTR%}%s\end{%MATSTR%}'1050        out_str = out_str.replace('%MATSTR%', mat_str)1051        if mat_str == 'array':1052            out_str = out_str.replace('%s', '{' + 'c'*expr.cols + '}%s')1053        if self._settings['mat_delim']:1054            left_delim = self._settings['mat_delim']1055            right_delim = self._delim_dict[left_delim]1056            out_str = r'\left' + left_delim + out_str + \1057                      r'\right' + right_delim1058        return out_str % r"\\".join(lines)1059    _print_ImmutableMatrix = _print_MatrixBase1060    _print_Matrix = _print_MatrixBase1061    def _print_MatrixElement(self, expr):1062        return self._print(expr.parent) + '_{%s, %s}'%(expr.i, expr.j)1063    def _print_MatrixSlice(self, expr):1064        def latexslice(x):1065            x = list(x)1066            if x[2] == 1:1067                del x[2]1068            if x[1] == x[0] + 1:1069                del x[1]1070            if x[0] == 0:1071                x[0] = ''1072            return ':'.join(map(self._print, x))1073        return (self._print(expr.parent) + r'\left[' +1074                latexslice(expr.rowslice) + ', ' +1075                latexslice(expr.colslice) + r'\right]')1076    def _print_BlockMatrix(self, expr):1077        return self._print(expr.blocks)1078    def _print_Transpose(self, expr):1079        mat = expr.arg1080        from sympy.matrices import MatrixSymbol1081        if not isinstance(mat, MatrixSymbol):1082            return r"\left(%s\right)^T" % self._print(mat)1083        else:1084            return "%s^T" % self._print(mat)1085    def _print_Adjoint(self, expr):1086        mat = expr.arg1087        from sympy.matrices import MatrixSymbol1088        if not isinstance(mat, MatrixSymbol):1089            return r"\left(%s\right)^\dag" % self._print(mat)1090        else:1091            return "%s^\dag" % self._print(mat)1092    def _print_MatAdd(self, expr):1093        terms = list(expr.args)1094        tex = " + ".join(map(self._print, terms))1095        return tex1096    def _print_MatMul(self, expr):1097        from sympy import Add, MatAdd, HadamardProduct1098        def parens(x):1099            if isinstance(x, (Add, MatAdd, HadamardProduct)):1100                return r"\left(%s\right)" % self._print(x)1101            return self._print(x)1102        return ' '.join(map(parens, expr.args))1103    def _print_HadamardProduct(self, expr):1104        from sympy import Add, MatAdd, MatMul1105        def parens(x):1106            if isinstance(x, (Add, MatAdd, MatMul)):1107                return r"\left(%s\right)" % self._print(x)1108            return self._print(x)1109        return ' \circ '.join(map(parens, expr.args))1110    def _print_MatPow(self, expr):1111        base, exp = expr.base, expr.exp1112        from sympy.matrices import MatrixSymbol1113        if not isinstance(base, MatrixSymbol):1114            return r"\left(%s\right)^{%s}" % (self._print(base), self._print(exp))1115        else:1116            return "%s^{%s}" % (self._print(base), self._print(exp))1117    def _print_ZeroMatrix(self, Z):1118        return r"\bold{0}"1119    def _print_Identity(self, I):1120        return r"\mathbb{I}"1121    def _print_tuple(self, expr):1122        return r"\left ( %s\right )" % \1123            r", \quad ".join([ self._print(i) for i in expr ])1124    def _print_Tuple(self, expr):1125        return self._print_tuple(expr)1126    def _print_list(self, expr):1127        return r"\left [ %s\right ]" % \1128            r", \quad ".join([ self._print(i) for i in expr ])1129    def _print_dict(self, d):1130        keys = sorted(d.keys(), key=default_sort_key)1131        items = []1132        for key in keys:1133            val = d[key]1134            items.append("%s : %s" % (self._print(key), self._print(val)))1135        return r"\left \{ %s\right \}" % r", \quad ".join(items)1136    def _print_Dict(self, expr):1137        return self._print_dict(expr)1138    def _print_DiracDelta(self, expr, exp=None):1139        if len(expr.args) == 1 or expr.args[1] == 0:1140            tex = r"\delta\left(%s\right)" % self._print(expr.args[0])1141        else:1142            tex = r"\delta^{\left( %s \right)}\left( %s \right)" % (1143                self._print(expr.args[1]), self._print(expr.args[0]))1144        if exp:1145            tex = r"\left(%s\right)^{%s}" % (tex, exp)1146        return tex1147    def _print_Heaviside(self, expr, exp=None):1148        tex = r"\theta\left(%s\right)" % self._print(expr.args[0])1149        if exp:1150            tex = r"\left(%s\right)^{%s}" % (tex, exp)1151        return tex1152    def _print_KroneckerDelta(self, expr, exp=None):1153        i = self._print(expr.args[0])1154        j = self._print(expr.args[1])1155        if expr.args[0].is_Atom and expr.args[1].is_Atom:1156            tex = r'\delta_{%s %s}' % (i, j)1157        else:1158            tex = r'\delta_{%s, %s}' % (i, j)1159        if exp:1160            tex = r'\left(%s\right)^{%s}' % (tex, exp)1161        return tex1162    def _print_LeviCivita(self, expr, exp=None):1163        indices = map(self._print, expr.args)1164        if all(map(lambda x: x.is_Atom, expr.args)):1165            tex = r'\varepsilon_{%s}' % " ".join(indices)1166        else:1167            tex = r'\varepsilon_{%s}' % ", ".join(indices)1168        if exp:1169            tex = r'\left(%s\right)^{%s}' % (tex, exp)1170        return tex1171    def _print_ProductSet(self, p):1172        if len(p.sets) > 1 and not has_variety(p.sets):1173            return self._print(p.sets[0]) + "^%d" % len(p.sets)1174        else:1175            return r" \times ".join(self._print(set) for set in p.sets)1176    def _print_RandomDomain(self, d):1177        try:1178            return 'Domain: ' + self._print(d.as_boolean())1179        except Exception:1180            try:1181                return ('Domain: ' + self._print(d.symbols) + ' in ' +1182                        self._print(d.set))1183            except:1184                return 'Domain on ' + self._print(d.symbols)1185    def _print_FiniteSet(self, s):1186        items = sorted(s.args, key=default_sort_key)1187        return self._print_set(items)1188    def _print_set(self, s):1189        items = sorted(s, key=default_sort_key)1190        items = ", ".join(map(self._print, items))1191        return r"\left\{%s\right\}" % items1192    _print_frozenset = _print_set1193    def _print_Range(self, s):1194        if len(s) > 4:1195            it = iter(s)1196            printset = next(it), next(it), '\ldots', s._last_element1197        else:1198            printset = tuple(s)1199        return (r"\left\{"1200              + r", ".join(self._print(el) for el in printset)1201              + r"\right\}")1202    def _print_Interval(self, i):1203        if i.start == i.end:1204            return r"\left\{%s\right\}" % self._print(i.start)1205        else:1206            if i.left_open:1207                left = '('1208            else:1209                left = '['1210            if i.right_open:1211                right = ')'1212            else:1213                right = ']'1214            return r"\left%s%s, %s\right%s" % \1215                   (left, self._print(i.start), self._print(i.end), right)1216    def _print_Union(self, u):1217        return r" \cup ".join([self._print(i) for i in u.args])1218    def _print_Complement(self, u):1219        return r" \setminus ".join([self._print(i) for i in u.args])1220    def _print_Intersection(self, u):1221        return r" \cap ".join([self._print(i) for i in u.args])1222    def _print_EmptySet(self, e):1223        return r"\emptyset"1224    def _print_Naturals(self, n):1225        return r"\mathbb{N}"1226    def _print_Integers(self, i):1227        return r"\mathbb{Z}"1228    def _print_Reals(self, i):1229        return r"\mathbb{R}"1230    def _print_ImageSet(self, s):1231        return r"\left\{%s\; |\; %s \in %s\right\}" % (1232            self._print(s.lamda.expr),1233            ', '.join([self._print(var) for var in s.lamda.variables]),1234            self._print(s.base_set))1235    def _print_Contains(self, e):1236        return r"%s \in %s" % tuple(self._print(a) for a in e.args)1237    def _print_FiniteField(self, expr):1238        return r"\mathbb{F}_{%s}" % expr.mod1239    def _print_IntegerRing(self, expr):1240        return r"\mathbb{Z}"1241    def _print_RationalField(self, expr):1242        return r"\mathbb{Q}"1243    def _print_RealField(self, expr):1244        return r"\mathbb{R}"1245    def _print_ComplexField(self, expr):1246        return r"\mathbb{C}"1247    def _print_PolynomialRing(self, expr):1248        domain = self._print(expr.domain)1249        symbols = ", ".join(map(self._print, expr.symbols))1250        return r"%s\left[%s\right]" % (domain, symbols)1251    def _print_FractionField(self, expr):1252        domain = self._print(expr.domain)1253        symbols = ", ".join(map(self._print, expr.symbols))1254        return r"%s\left(%s\right)" % (domain, symbols)1255    def _print_PolynomialRingBase(self, expr):1256        domain = self._print(expr.domain)1257        symbols = ", ".join(map(self._print, expr.symbols))1258        inv = ""1259        if not expr.is_Poly:1260            inv = r"S_<^{-1}"1261        return r"%s%s\left[%s\right]" % (inv, domain, symbols)1262    def _print_Poly(self, poly):1263        cls = poly.__class__.__name__1264        expr = self._print(poly.as_expr())1265        gens = list(map(self._print, poly.gens))1266        domain = "domain=%s" % self._print(poly.get_domain())1267        args = ", ".join([expr] + gens + [domain])1268        if cls in accepted_latex_functions:1269            tex = r"\%s {\left (%s \right )}" % (cls, args)1270        else:1271            tex = r"\operatorname{%s}{\left( %s \right)}" % (cls, args)1272        return tex1273    def _print_RootOf(self, root):1274        cls = root.__class__.__name__1275        expr = self._print(root.expr)1276        index = root.index1277        if cls in accepted_latex_functions:1278            return r"\%s {\left(%s, %d\right)}" % (cls, expr, index)1279        else:1280            return r"\operatorname{%s} {\left(%s, %d\right)}" % (cls, expr, index)1281    def _print_RootSum(self, expr):1282        cls = expr.__class__.__name__1283        args = [self._print(expr.expr)]1284        if expr.fun is not S.IdentityFunction:1285            args.append(self._print(expr.fun))1286        if cls in accepted_latex_functions:1287            return r"\%s {\left(%s\right)}" % (cls, ", ".join(args))1288        else:1289            return r"\operatorname{%s} {\left(%s\right)}" % (cls, ", ".join(args))1290    def _print_PolyElement(self, poly):1291        mul_symbol = self._settings['mul_symbol_latex']1292        return poly.str(self, PRECEDENCE, "{%s}^{%d}", mul_symbol)1293    def _print_FracElement(self, frac):1294        if frac.denom == 1:1295            return self._print(frac.numer)1296        else:1297            numer = self._print(frac.numer)1298            denom = self._print(frac.denom)1299            return r"\frac{%s}{%s}" % (numer, denom)1300    def _print_euler(self, expr):1301        return r"E_{%s}" % self._print(expr.args[0])1302    def _print_catalan(self, expr):1303        return r"C_{%s}" % self._print(expr.args[0])1304    def _print_MellinTransform(self, expr):1305        return r"\mathcal{M}_{%s}\left[%s\right]\left(%s\right)" % (self._print(expr.args[1]), self._print(expr.args[0]), self._print(expr.args[2]))1306    def _print_InverseMellinTransform(self, expr):1307        return r"\mathcal{M}^{-1}_{%s}\left[%s\right]\left(%s\right)" % (self._print(expr.args[1]), self._print(expr.args[0]), self._print(expr.args[2]))1308    def _print_LaplaceTransform(self, expr):1309        return r"\mathcal{L}_{%s}\left[%s\right]\left(%s\right)" % (self._print(expr.args[1]), self._print(expr.args[0]), self._print(expr.args[2]))1310    def _print_InverseLaplaceTransform(self, expr):1311        return r"\mathcal{L}^{-1}_{%s}\left[%s\right]\left(%s\right)" % (self._print(expr.args[1]), self._print(expr.args[0]), self._print(expr.args[2]))1312    def _print_FourierTransform(self, expr):1313        return r"\mathcal{F}_{%s}\left[%s\right]\left(%s\right)" % (self._print(expr.args[1]), self._print(expr.args[0]), self._print(expr.args[2]))1314    def _print_InverseFourierTransform(self, expr):1315        return r"\mathcal{F}^{-1}_{%s}\left[%s\right]\left(%s\right)" % (self._print(expr.args[1]), self._print(expr.args[0]), self._print(expr.args[2]))1316    def _print_SineTransform(self, expr):1317        return r"\mathcal{SIN}_{%s}\left[%s\right]\left(%s\right)" % (self._print(expr.args[1]), self._print(expr.args[0]), self._print(expr.args[2]))1318    def _print_InverseSineTransform(self, expr):1319        return r"\mathcal{SIN}^{-1}_{%s}\left[%s\right]\left(%s\right)" % (self._print(expr.args[1]), self._print(expr.args[0]), self._print(expr.args[2]))1320    def _print_CosineTransform(self, expr):1321        return r"\mathcal{COS}_{%s}\left[%s\right]\left(%s\right)" % (self._print(expr.args[1]), self._print(expr.args[0]), self._print(expr.args[2]))1322    def _print_InverseCosineTransform(self, expr):1323        return r"\mathcal{COS}^{-1}_{%s}\left[%s\right]\left(%s\right)" % (self._print(expr.args[1]), self._print(expr.args[0]), self._print(expr.args[2]))1324    def _print_DMP(self, p):1325        try:1326            if p.ring is not None:1327                # TODO incorporate order1328                return self._print(p.ring.to_sympy(p))1329        except SympifyError:1330            pass1331        return self._print(repr(p))1332    def _print_DMF(self, p):1333        return self._print_DMP(p)1334    def _print_Object(self, object):1335        return self._print(Symbol(object.name))1336    def _print_Morphism(self, morphism):1337        domain = self._print(morphism.domain)1338        codomain = self._print(morphism.codomain)1339        return "%s\\rightarrow %s" % (domain, codomain)1340    def _print_NamedMorphism(self, morphism):1341        pretty_name = self._print(Symbol(morphism.name))1342        pretty_morphism = self._print_Morphism(morphism)1343        return "%s:%s" % (pretty_name, pretty_morphism)1344    def _print_IdentityMorphism(self, morphism):1345        from sympy.categories import NamedMorphism1346        return self._print_NamedMorphism(NamedMorphism(1347            morphism.domain, morphism.codomain, "id"))1348    def _print_CompositeMorphism(self, morphism):1349        # All components of the morphism have names and it is thus1350        # possible to build the name of the composite.1351        component_names_list = [self._print(Symbol(component.name)) for1352                                component in morphism.components]1353        component_names_list.reverse()1354        component_names = "\\circ ".join(component_names_list) + ":"1355        pretty_morphism = self._print_Morphism(morphism)1356        return component_names + pretty_morphism1357    def _print_Category(self, morphism):1358        return "\\mathbf{%s}" % self._print(Symbol(morphism.name))1359    def _print_Diagram(self, diagram):1360        if not diagram.premises:1361            # This is an empty diagram.1362            return self._print(S.EmptySet)1363        latex_result = self._print(diagram.premises)1364        if diagram.conclusions:1365            latex_result += "\\Longrightarrow %s" % \1366                            self._print(diagram.conclusions)1367        return latex_result1368    def _print_DiagramGrid(self, grid):1369        latex_result = "\\begin{array}{%s}\n" % ("c" * grid.width)1370        for i in xrange(grid.height):1371            for j in xrange(grid.width):1372                if grid[i, j]:1373                    latex_result += latex(grid[i, j])1374                latex_result += " "1375                if j != grid.width - 1:1376                    latex_result += "& "1377            if i != grid.height - 1:1378                latex_result += "\\\\"1379            latex_result += "\n"1380        latex_result += "\\end{array}\n"1381        return latex_result1382    def _print_FreeModule(self, M):1383        return '{%s}^{%s}' % (self._print(M.ring), self._print(M.rank))1384    def _print_FreeModuleElement(self, m):1385        # Print as row vector for convenience, for now.1386        return r"\left[ %s \right]" % ",".join(1387            '{' + self._print(x) + '}' for x in m)1388    def _print_SubModule(self, m):1389        return r"\left< %s \right>" % ",".join(1390            '{' + self._print(x) + '}' for x in m.gens)1391    def _print_ModuleImplementedIdeal(self, m):1392        return r"\left< %s \right>" % ",".join(1393            '{' + self._print(x) + '}' for [x] in m._module.gens)1394    def _print_QuotientRing(self, R):1395        # TODO nicer fractions for few generators...1396        return r"\frac{%s}{%s}" % (self._print(R.ring), self._print(R.base_ideal))1397    def _print_QuotientRingElement(self, x):1398        return r"{%s} + {%s}" % (self._print(x.data), self._print(x.ring.base_ideal))1399    def _print_QuotientModuleElement(self, m):1400        return r"{%s} + {%s}" % (self._print(m.data),1401                                 self._print(m.module.killed_module))1402    def _print_QuotientModule(self, M):1403        # TODO nicer fractions for few generators...1404        return r"\frac{%s}{%s}" % (self._print(M.base),1405                                   self._print(M.killed_module))1406    def _print_MatrixHomomorphism(self, h):1407        return r"{%s} : {%s} \to {%s}" % (self._print(h._sympy_matrix()),1408            self._print(h.domain), self._print(h.codomain))1409    def _print_BaseScalarField(self, field):1410        string = field._coord_sys._names[field._index]1411        return r'\boldsymbol{\mathrm{%s}}' % self._print(Symbol(string))1412    def _print_BaseVectorField(self, field):1413        string = field._coord_sys._names[field._index]1414        return r'\partial_{%s}' % self._print(Symbol(string))1415    def _print_Differential(self, diff):1416        field = diff._form_field1417        if hasattr(field, '_coord_sys'):1418            string = field._coord_sys._names[field._index]1419            return r'\mathrm{d}%s' % self._print(Symbol(string))1420        else:1421            return 'd(%s)' % self._print(field)1422            string = self._print(field)1423            return r'\mathrm{d}\left(%s\right)' % string1424    def _print_Tr(self, p):1425        #Todo: Handle indices1426        contents = self._print(p.args[0])1427        return r'\mbox{Tr}\left(%s\right)' % (contents)1428    def _print_totient(self, expr):1429        return r'\phi\left( %s \right)' %  self._print(expr.args[0])1430    def _print_divisor_sigma(self, expr, exp=None):1431        if len(expr.args) == 2:1432            tex = r"_%s\left(%s\right)" % tuple(map(self._print,1433                                                (expr.args[1], expr.args[0])))1434        else:1435            tex = r"\left(%s\right)" % self._print(expr.args[0])1436        if exp is not None:1437            return r"\sigma^{%s}%s" % (self._print(exp), tex)1438        return r"\sigma%s" % tex1439def translate(s):1440    r'''1441    Check for a modifier ending the string.  If present, convert the1442    modifier to latex and translate the rest recursively.1443    Given a description of a Greek letter or other special character,1444    return the appropriate latex.1445    Let everything else pass as given.1446    >>> from sympy.printing.latex import translate1447    >>> translate('alphahatdotprime')1448    "{\\dot{\\hat{\\alpha}}}'"1449    '''1450    # Process the rest1451    tex = tex_greek_dictionary.get(s)...

_sw_update.py

Source:_sw_update.py

...16INSTANCE_ACTION_MIGRATE = 'migrate'17INSTANCE_ACTION_STOP_START = 'stop-start'18ALARM_RESTRICTIONS_STRICT = 'strict'19ALARM_RESTRICTIONS_RELAXED = 'relaxed'20def _print(indent_by, field, value, remains=''):21    print("%s%s%s%s %s" % (' ' * indent_by, field + ':',22                           ' ' * (42 - indent_by - len('%s' % field) - 1), value,23                           remains))24def _display_strategy_step(strategy_step, active=False):25    """26    Software Update - Display Strategy Step Information27    """28    # If active flag is passed29    # skip steps that are not started:'initial' or completed cleanly: 'success'30    # this leaves failed and in-progress states31    if active:32        if strategy_step.result in ['initial', 'success']:33            return False34    _print(12, "step-id", strategy_step.step_id)35    _print(12, "step-name", strategy_step.step_name)36    if 0 < len(strategy_step.entity_type):37        _print(12, "entity-type", strategy_step.entity_type)38    if 0 < len(strategy_step.entity_names):39        _print(12, "entity-names", strategy_step.entity_names)40    if 0 < len(strategy_step.entity_uuids):41        _print(12, "entity-uuids", strategy_step.entity_uuids)42    _print(12, "timeout", strategy_step.timeout, 'seconds')43    if 0 < len(strategy_step.start_date_time):44        _print(12, "start-date-time", strategy_step.start_date_time)45    if 0 < len(strategy_step.end_date_time):46        _print(12, "end-date-time", strategy_step.end_date_time)47    _print(12, "result", strategy_step.result)48    _print(12, "reason", strategy_step.reason)49    return True50def _display_strategy_stage(strategy_stage, details=False, active=False):51    """52    Software Update - Display Strategy Stage Information53    """54    # If active flag is passed, only display a stage that is in progress55    if active:56        if not strategy_stage.inprogress:57            return False58    _print(8, "stage-id", strategy_stage.stage_id)59    _print(8, "stage-name", strategy_stage.stage_name)60    _print(8, "total-steps", strategy_stage.total_steps)61    _print(8, "current-step", strategy_stage.current_step)62    _print(8, "timeout", strategy_stage.timeout, 'seconds')63    _print(8, "start-date-time", strategy_stage.start_date_time)64    if strategy_stage.inprogress:65        _print(8, "inprogress", "true")66    else:67        _print(8, "end-date-time", strategy_stage.end_date_time)68        _print(8, "result", strategy_stage.result)69        _print(8, "reason", strategy_stage.reason)70    if details or active:71        print("        steps:")72        for step in strategy_stage.steps:73            if _display_strategy_step(step, active):74                print("")75    return True76def _display_strategy_phase(strategy_phase, details=False, active=False):77    """78    Software Update - Display Strategy Phase Information79    """80    # If active flag is passed, only display a phase that is in progress81    if active:82        if not strategy_phase.inprogress:83            return84    print("  %s-phase:" % strategy_phase.phase_name)85    _print(4, "total-stages", strategy_phase.total_stages)86    _print(4, "current-stage", strategy_phase.current_stage)87    _print(4, "stop-at-stage", strategy_phase.stop_at_stage)88    _print(4, "timeout", strategy_phase.timeout, 'seconds')89    _print(4, "completion-percentage",90           ("%s%%" % strategy_phase.completion_percentage))91    _print(4, "start-date-time", strategy_phase.start_date_time)92    if strategy_phase.inprogress:93        _print(4, "inprogress", "true")94    else:95        _print(4, "end-date-time", strategy_phase.end_date_time)96        _print(4, "result", strategy_phase.result)97        _print(4, "reason", strategy_phase.reason)98    if details or active:99        print("    stages:")100        for stage in strategy_phase.stages:101            if _display_strategy_stage(stage, details, active):102                print("")103def _display_strategy(strategy, details=False, active=False):104    """105    Software Update - Display Strategy Information106    """107    if strategy.name == STRATEGY_NAME_SW_PATCH:108        print("Strategy Patch Strategy:")109    elif strategy.name == STRATEGY_NAME_SW_UPGRADE:110        print("Strategy Upgrade Strategy:")111    elif strategy.name == STRATEGY_NAME_FW_UPDATE:112        print("Strategy Firmware Update Strategy:")113    elif strategy.name == STRATEGY_NAME_KUBE_ROOTCA_UPDATE:114        print("Strategy Kubernetes RootCA Update Strategy:")115    elif strategy.name == STRATEGY_NAME_KUBE_UPGRADE:116        print("Strategy Kubernetes Upgrade Strategy:")117    else:118        print("Strategy Unknown Strategy:")119    _print(2, "strategy-uuid", strategy.uuid)120    _print(2, "controller-apply-type", strategy.controller_apply_type)121    _print(2, "storage-apply-type", strategy.storage_apply_type)122    _print(2, "worker-apply-type", strategy.worker_apply_type)123    if APPLY_TYPE_PARALLEL == strategy.worker_apply_type:124        _print(2, "max-parallel-worker-hosts",125               strategy.max_parallel_worker_hosts)126    _print(2, "default-instance-action", strategy.default_instance_action)127    _print(2, "alarm-restrictions", strategy.alarm_restrictions)128    _print(2, "current-phase", strategy.current_phase)129    _print(2, "current-phase-completion",130           ("%s%%" % strategy.current_phase_completion_percentage))131    _print(2, "state", strategy.state)132    if details or active:133        if 0 < strategy.build_phase.total_stages:134            _display_strategy_phase(strategy.build_phase, details, active)135        if 0 < strategy.apply_phase.total_stages:136            _display_strategy_phase(strategy.apply_phase, details, active)137        if 0 < strategy.abort_phase.total_stages:138            _display_strategy_phase(strategy.abort_phase, details, active)139    else:140        if strategy.current_phase == strategy.build_phase.phase_name:141            if strategy.build_phase.inprogress:142                _print(2, "inprogress", "true")143            else:144                _print(2, "build-result", strategy.build_phase.result)145                _print(2, "build-reason", strategy.build_phase.reason)146        elif strategy.current_phase == strategy.apply_phase.phase_name:147            if strategy.apply_phase.inprogress:148                _print(2, "inprogress", "true")149            else:150                _print(2, "apply-result", strategy.apply_phase.result)151                _print(2, "apply-reason", strategy.apply_phase.reason)152        elif strategy.current_phase == strategy.abort_phase.phase_name:153            if strategy.abort_phase.inprogress:154                _print(2, "inprogress", "true")155                _print(2, "apply-result", strategy.apply_phase.result)156                _print(2, "apply-reason", strategy.apply_phase.reason)157                _print(2, "abort-result", "")158                _print(2, "abort-reason", "")159            else:160                _print(2, "apply-result", strategy.apply_phase.result)161                _print(2, "apply-reason", strategy.apply_phase.reason)162                _print(2, "abort-result", strategy.abort_phase.result)163                _print(2, "abort-reason", strategy.abort_phase.reason)164def create_strategy(os_auth_uri, os_project_name, os_project_domain_name,165                    os_username, os_password, os_user_domain_name,166                    os_region_name, os_interface,167                    strategy_name, controller_apply_type,168                    storage_apply_type, swift_apply_type, worker_apply_type,169                    max_parallel_worker_hosts,170                    default_instance_action, alarm_restrictions, **kwargs):171    """172    Software Update - Create Strategy173    """174    token = openstack.get_token(os_auth_uri, os_project_name,175                                os_project_domain_name, os_username, os_password,176                                os_user_domain_name)177    url = token.get_service_url(os_region_name, openstack.SERVICE.VIM,...

1_test_sync_label.py

Source:1_test_sync_label.py

...3def run():4	5	#################### _sync deco + _sync(ref=) + _sync([' ', ' '])6	7	_print('test1')8	@_spawn(_name='work1')9	def _():10		_print('\tdoing1')11		sleep(1)12		_print('\tmiddle1')13		a.val = 'middle'14		sleep(1)15		_print('\tdone1')16	17	@_spawn(_name='work2')18	def _():19		_print('\twork2 doing')20		sleep(0.1)21		_sync('lol',ref='work1')22		_print('\twork2 pause work')23		sleep(3)24		@_do25		def _():26			if a.val == 'middle':27				print('fail')28				exit(0)29		sleep(1)30		_label('lol')31		_print('\twork2 done')32		_return(ref='work1')33	_print('\tmain should wait for work')34	_sync(['work1','work2'])35	36	################# _sync([' ', ' '])37	a.val = None38	39	_print('test2')40	def _():41		_print('\tdoing1')42		sleep(1)43		_print('\tmiddle1')44		a.val = 'middle'45		sleep(1)46		_print('\tdone1')47	work1 = _spawn(_, _name='work1')48	49	def _():50		_print('\twork2 doing')51		sleep(0.1)52		_sync('lol1',ref='work1')53		_print('\twork2 pause work')54		sleep(3)55		@_do56		def _():57			if a.val == 'middle':58				print('\tfail')59				exit(0)60		sleep(1)61		_label('lol1')62		_print('\twork2 done')63		_return(ref='work1')64	work2 = _spawn(_, _name='work2')65	66	_print('main should wait for work')67	_sync(['work1','work2'])68	69	############## _sync([ , ])70	a.val = None71	72	_print('test3')73	def _():74		_print('\tdoing1')75		sleep(1)76		_print('\tmiddle1')77		a.val = 'middle'78		sleep(1)79		_print('\tdone1')80	work1 = _spawn(_, _name='work1')81	82	def _():83		_print('\twork2 doing')84		sleep(0.1)85		_sync('lol3',ref='work1')86		_print('\twork2 pause work')87		sleep(3)88		@_do89		def _():90			if a.val == 'middle':91				print('fail')92				exit(0)93		sleep(1)94		_label('lol3')95		_print('\twork2 done')96		_return(ref='work1')97	work2 = _spawn(_, _name='work2')98	99	_print('main should wait for work')...

test_if_while.py

Source:test_if_while.py

...3a=_State(2)4def run():5	################################################6	7	_print(col.yellow,'test case1 (_if(cond, true_func, false_func)',col.white)8	9	_print('\tval a:', a.val)10	def is_true():11		_print('\t\ttrue (bad)')12		bad()13	def is_false():14		_print('\t\tfalse (good)')15	_print('\ta.val == 0?')16	_if(lambda: a.val == 0, is_true, is_false)17	def is_true():18		_print('\t\ttrue (good)')19	def is_false():20		_print('\t\tfalse (bad)')21		bad()22	_print('\ta.val != 0')23	_if(lambda: a.val != 0, is_true, is_false)24	25	################################################26	_print(col.yellow,'test case2 (_if, _elif, _end_if)',col.white)27	28	a.val = 229	_do(lambda: print('\tval a:', a.val) )30	_print('\ta.val == 0?')31	_if(lambda: a.val == 0)32	33	_print('\t\tis true (good)')34	_elif(lambda: a.val == 3)35	36	_print('\t\tval is:', a.val, '(bad)')37	38	bad()39	40	_else()41	42	_print('\t\tis else (good)')43	_end_if()44	45	################################################46	47	_print(col.yellow,'test case3 (with _if , with _elif, with _else)',col.white)48	49	_do(lambda: print('\tval a:', a.val) )50	_print('\ta.val == 0 or a.val == 3 or else?' )51	with _if(lambda: a.val == 0):52		_print('\tis true')53		_do(exit,-1)54	with _elif(lambda: a.val == 3):55		_print('\tval is:', a.val)56		_do(exit,-1)57	with _else():58		_print('\tis else (good)')59	60	_print(col.yellow,'test case4',col.white)61	a.val = 262	with _if(lambda: a.val == 2):63		_print('\tis 2 (good)')64	with _elif(lambda: a.val == 3):65		_print('\tval is:', a.val, '(fail)')66		bad()67	with _else():68		_print('\tis none')69		bad()70	################################################71	72	_print(col.yellow,'test case4 (while)',col.white)73	with _while(lambda: a.val != 5):74		a.inc()75		@_do76		def _():...

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