def find_derivatives(self): print("looking for: δn/δx") query = solvers_utils.get_wf_derivative(self.n_function, 1) wolfram_query = solvers_utils.get_problem_url(query) self.driver.get(wolfram_query) result_section = solvers_utils.get_result_section(self.driver) self.n_partial = solvers_utils.find_wf_res(self.driver, result_section, 0) print("δn/δx = ", self.n_partial) print("looking for: δm/δy") query = solvers_utils.get_wf_derivative(self.m_function, 1, variable='y') wolfram_query = solvers_utils.get_problem_url(query) self.driver.get(wolfram_query) result_section = solvers_utils.get_result_section(self.driver) self.m_partial = solvers_utils.find_wf_res(self.driver, result_section, 0) print("δm/δy = ", self.m_partial)
def solve_laplace_by_user(self): if self.parse_class: self.parse_class.apply_property() print("what do you want to do?") ans = input( f"solve the new laplace expression: {self.parse_class.get_new_laplace()} [y/n]: " ) if ans == 'y': wolfram_url = get_problem_url( self.parse_class.get_wolfram_query()) print("Looking for result...") self.driver.get(wolfram_url) result_section = solvers_utils.get_result_section(self.driver) self.new_laplace_sol = solvers_utils.find_wf_res( self.driver, result_section, 1) print(f"Found: {self.new_laplace_sol}") else: print( "it look likes we couldn't found a property for this expression..." )
def simplify_function(self): print("simplify function...") wolfram_query = solvers_utils.get_problem_url(self.compact_function) self.driver.get(wolfram_query) result_section = solvers_utils.get_result_section(self.driver) self.simplified_compact_function = solvers_utils.find_wf_res( self.driver, result_section, 1)
def compute_norm(self): print("looking for || r'(t) ||") query = f'Norm[{self.d_param_function}]' wolfram_query = solvers_utils.get_problem_url(query) self.driver.get(wolfram_query) result_section = solvers_utils.get_result_section(self.driver) self.norm_d_param_function = solvers_utils.find_wf_res( self.driver, result_section, 1) print("|| r'(t) || = ", self.norm_d_param_function)
def compute_dot_product(self): print("looking for F(r(t)) * r'(t)") query = f'Dot[{self.d_param_function}, {self.replaced_function}]' wolfram_query = solvers_utils.get_problem_url(query) self.driver.get(wolfram_query) result_section = solvers_utils.get_result_section(self.driver) self.dot_product = solvers_utils.find_wf_res(self.driver, result_section, 1) print("F(r(t)) * r'(t) = ", self.dot_product)
def compute_derivative(self): print("looking for r'(t)") query = solvers_utils.get_wf_derivative(self.param_function, 1, variable='t') wolfram_query = solvers_utils.get_problem_url(query) self.driver.get(wolfram_query) result_section = solvers_utils.get_result_section(self.driver) self.d_param_function = solvers_utils.find_wf_res( self.driver, result_section, 0) print("r'(t) = ", self.d_param_function)
def compute_convolution_integral(self): wolfram_url = get_problem_url( self.convolution_integral.replace('τ', 'x')) print("Looking for result...") self.driver.get(wolfram_url) result_section = solvers_utils.get_result_section(self.driver) self.convolution_result = solvers_utils.find_wf_res( self.driver, result_section, 0) print(f"Found: {self.convolution_result}")
def find_y(self): print(f"apply inverse laplace transform to Y(s): {self.ys}") query = f"InverseLaplaceTransform[{self.ys}, s, t]" print(f"ILpt: {query}") self.driver.get(solvers_utils.get_problem_url(query)) print("Looking for the inverse laplace transform...") result_section = solvers_utils.get_result_section(self.driver) self.y = solvers_utils.find_wf_res(self.driver, result_section, 1) print(f"y = {self.y}")
def compute_integral(self): integral_expression = f"{self.dot_product} " print("computing integral expression: ", integral_expression) self.integral_query = \ f"integrate[{integral_expression}, {{t,{self.integral_range}}}]" wolfram_query = solvers_utils.get_problem_url(self.integral_query) self.driver.get(wolfram_query) result_section = solvers_utils.get_result_section(self.driver) self.integral_result = solvers_utils.find_wf_res( self.driver, result_section, 0) print("result = ", self.integral_result)
def solving_the_equation(self): print("find the solution for Y(s) (x in the expression):") extra_term = f" + {self.extra_term}" if self.extra_term else "" equa = f"Solve[{self.laplace_equa} = {self.ft_laplace_transform}{extra_term}, x]" print(f"equa: {equa}") self.driver.get(solvers_utils.get_problem_url(equa)) print("Looking for the solution...") result_section = solvers_utils.get_result_section(self.driver) self.ys = solvers_utils.find_wf_res(self.driver, result_section, 1) print(f"Y(s) = {self.ys}")
def get_wroskian(self): print("find the wroskian of the sol set") solset_string = ",".join(self.solset) self.driver.get(solvers_utils.get_problem_url(f"wronskian({{{solset_string}}},x)")) print("Looking for the wroskian...", end='\n') result_section = solvers_utils.get_result_section(self.driver) self.wroskian = solvers_utils.find_wf_res( self.driver, result_section, 1 ) print(f"Wroskian found: {self.wroskian}", end='\n')
def find_derivatives(self): for i, component in enumerate(self.components): variable = self.default_variables[i] print(f"looking for: integral with respect to {variable}") query = solvers_utils.get_wf_integral(component, variable=variable) wolfram_query = solvers_utils.get_problem_url(query) self.driver.get(wolfram_query) result_section = solvers_utils.get_result_section(self.driver) partial_integral = solvers_utils.find_wf_res( self.driver, result_section, 0) print(f"result of {variable}: ", partial_integral) self.partial_integrals.append(partial_integral)
def find_laplace_for_ft(self): print(f"apply laplace transform to f(t): {self.ft}") self.ft = self.ft.replace("u", "θ") self.driver.get( solvers_utils.get_problem_url( f"LaplaceTransform[{self.ft}, t, s]")) print("Looking for laplace transform...") result_section = solvers_utils.get_result_section(self.driver) self.ft_laplace_transform = solvers_utils.find_wf_res( self.driver, result_section, 1) print(f"Lpt found: {self.ft_laplace_transform}") self.extra_term = str(input("add extra term: "))
def find_solutions(self): print("find 'u' solutions") wf_integrals = [] for uderi in self.u_derivatives: wf_integrals.append(f"integrate[{uderi}]") for i, wf_integral in enumerate(wf_integrals, start = 1): self.driver.get(solvers_utils.get_problem_url(wf_integral)) result_section = solvers_utils.get_result_section(self.driver) res = solvers_utils.find_wf_res( self.driver, result_section, 0, sleep_time = 6 ) input(f"u{i} found: {res}, Press Enter to Continue:") self.u_solutions.append(res)
def find_u_derivatives(self): print("find 'u' derivatives") w_det_querys = [] for u_number in range(1, len(self.solset) + 1): w_det_querys.append(solvers_utils.get_wfdet_of_param_variation( self.solset, self.fx, u_number )) for i, w_det in enumerate(w_det_querys, start = 1): self.driver.get(solvers_utils.get_problem_url(w_det)) result_section = solvers_utils.get_result_section(self.driver) res = solvers_utils.find_wf_res( self.driver, result_section, 1, sleep_time = 6 ) res_extra = f"({res})/({self.wroskian})" input(f"u{i}' found: {res_extra}, Press Enter to Continue:") self.u_derivatives.append(res_extra)