From: Antonio Jimenez Pastor Date: Tue, 9 Jul 2019 15:55:10 +0000 (+0200) Subject: Added the latex method to ddFunctions X-Git-Url: http://git.risc.jku.at/gitweb/?a=commitdiff_plain;h=abfc8675dab6bc20c04c8ed69af59a80950df00e;p=ajpastor%2Fdiff_defined_functions.git Added the latex method to ddFunctions Fixed a bug on the _to_real_element method in conversion.py --- diff --git a/ajpastor/dd_functions/ddFunction.py b/ajpastor/dd_functions/ddFunction.py index 32fd7e3..0b59ad3 100644 --- a/ajpastor/dd_functions/ddFunction.py +++ b/ajpastor/dd_functions/ddFunction.py @@ -2461,6 +2461,99 @@ class DDFunction (IntegralDomainElement): def __critical_numbers__(self): return "(%d:%d:%d)" %(self.getOrder(),self.equation.get_jp_fo(),self.size()); + def _latex_(self, name="f"): + ## Building all coefficients in the differential equation + equ, simpl = self._latex_coeffs_(); + + ## Building the starting part + res = "\\left\\{\\begin{array}{c}\n" + + ## Building the differential equation + res += "%s = 0,\\\\\n" %equ; + + ## Adding the non-polynomial coefficients + if(any(el != True for el in simpl)): + res += "where\\\\\n"; + for i in range(len(simpl)): + if(simpl[i] != True): + res += self[i]._latex_() + "\\\\\n"; + + ## Adding the initial conditions + res += "\\hdashline\n"; + res += self._latex_ic_(); + + ## Closing the environment + res += "\\end{array}\\right."; + + return res; + + def _latex_coeffs_(self, c_name="f"): + next_name = chr(ord(c_name[0])+1); + parent = self.parent(); + coeffs = [self[i] for i in range(self.getOrder()+1)]; + simpl = [(not is_DDRing(parent.base()))]*(self.getOrder()+1); + sgn = ['+']*(self.getOrder()+1); + for i in range(len(coeffs)): + ## Computing the sign and string for the coefficient + current = coeffs[i]; + + if(not simpl[i] and current.is_constant): # Recursive and constant case + current = current.getInitialValue(0); # Reduced to constant case + simpl[i] = True; + + ## Constant cases + if(current == -1): + sgn[i] = "-" + coeffs[i] = ""; + elif(current == 1): + coeffs[i] = ""; + elif(simpl[i]==True and current < 0): + sgn[i] = "-" + coeffs[i] = latex(current); + elif(simpl[i] == True): # Non constant and simple case + coeffs[i] = "\\left(" + latex(current) + "\\right)"; + else: # Recursive cases + simpl[i] = "%s_{%d}" %(next_name, i); + coeffs[i] = "%s(x)" %simpl[i]; + + ## Computing the corresponding function factor + if(i == 0): + coeffs[i] += "%s(x)" %c_name; + elif(i == 1): + coeffs[i] += "%s'(x)" %c_name; + elif(i == 2): + coeffs[i] += "%s''(x)" %c_name; + else: + coeffs[i] += "%s^{(%d)}(x)" %c_name; + + ## Building the final line from the highest order to the minimal + coeffs.reverse(); sgn.reverse(); + + final = ""; + for i in range(len(coeffs)): + ## If it is a non-zero coefficient + if(self[i] != 0): + ## Adding the sign + if(i > 0 or sgn[i] == '-'): + final += "%s " %sgn[i]; + ## Adding the value + final += coeffs[i]; + + return final, simpl; + + def _latex_ic_(self): + res = []; + for i in range(self.equation.get_jp_fo()+1): + if(i == 0): + res += ["f(0) = %s" %latex(self.getInitialValue(i))]; + elif(i == 1): + res += ["f'(0) = %s" %latex(self.getInitialValue(i))]; + elif(i == 2): + res += ["f''(0) = %s" %latex(self.getInitialValue(i))]; + else: + res += ["f^{(%d)}(0) = %s" %latex(self.getInitialValue(i))]; + return ", ".join(res); + def _to_command_(self): if(self.__name is None): return "%s.element(%s,%s)" %(command(self.parent()), _command_list(self.getOperator().getCoefficients()), self.getInitialValueList(self.getOrder())); diff --git a/ajpastor/lazy/conversion.py b/ajpastor/lazy/conversion.py index 9049049..7c3f173 100644 --- a/ajpastor/lazy/conversion.py +++ b/ajpastor/lazy/conversion.py @@ -310,7 +310,21 @@ class ConversionSystem(object): try: return sum([self.base()(coefficients[i])*prod([self.map_of_vars()[str(v)]**monomials[i].degree(v) for v in variables],self.base().one()) for i in range(len(monomials))],self.base().zero()); except Exception: - print "Error here"; + multi = (len(variables) > _sage_const_1 ); + res = self.base().zero(); + for (k,v) in polynomial.dict().items(): + term = self.base().one(); + ## We distinguish between several variables and just one + ## because the return of poly.dict() is different + if(multi): + for i in range(len(variables)): + term *= (self.map_of_vars()[str(variables[i])]**k[i]); + else: + term *= self.map_of_vars()[str(variables[_sage_const_0 ])]**k; + + res += term*self.base()(v); + + return res; # return self.base()(polynomial(**{str(v) : self.map_of_vars()[str(v)] for v in variables})); # multi = (len(variables) > _sage_const_1 );