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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _compile_int_g(self):
 """Time Domain Simulation - update algebraic equations and Jacobian"""

        string = '"""\n'

        # evaluate the algebraic equations g
        string += 'system.dae.init_g()\n'
        for gcall, call in zip(self.gcall, self.gcalls):
            if gcall:
                string += call
        string += '\n'
        string += 'system.dae.reset_small_g()\n'

        # handle islands
        string += self.gisland

        # rebuild constant Jacobian elements if needed
        string += 'if system.dae.factorize:\n'
        string += '    system.dae.init_jac0()\n'
        for jac0, call in zip(self.jac0, self.jac0s):
            if jac0:
                string += '    ' + call
        string += '    system.dae.temp_to_spmatrix(\'jac0\')\n'

        # evaluate Jacobians Gy
        string += 'system.dae.setup_Gy()\n'
        for gycall, call in zip(self.gycall, self.gycalls):
            if gycall:
                string += call
        string += '\n'
        string += self.gyisland
        string += 'system.dae.temp_to_spmatrix(\'jac\')\n'

        string += '"""'
        self.int_g = compile(eval(string), '', 'exec')