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)