a >> from sympy import symbols, cos >>> from sympy.codegen.ast import Assignment >>> from sympy.codegen.algorithms import newtons_method >>> x, dx, atol = symbols('x dx atol') >>> expr = cos(x) - x**3 >>> algo = newtons_method(expr, x, atol, dx) >>> algo.has(Assignment(dx, -expr/expr.diff(x))) True References ========== .. [1] https://en.wikipedia.org/wiki/Newton%27s_method NdeltacSs|SN)xrrh/Users/vegardjervell/Documents/master/model/venv/lib/python3.9/site-packages/sympy/codegen/algorithms.pyAz newtons_method..z{}=%12.5g {}=%12.5g\nr)typevalueT)integer)rrnamediffr r rformatrrr rrrZdeducedappendr rrr )exprwrtZatolrdebugZitermaxcounterZWrapperZname_dZ delta_exprZwhl_bdyZprntreqdeclarsZ v_counterZwhlZblckrrrnewtons_methods,.  r,cCs(t|tr|jj}nt|tr$|j}|Sr) isinstancer variablesymbolr)argrrr _symbol_ofVs    r1Znewton)rc Ks|dur|f}dd|D}|dur@td|j}||r@d}t||fd|i||}t|trl|j}|j dd|D} | rt dd t t | td d |D} t|t|} tt|| | |d S) a Generates an AST for a function implementing the Newton-Raphson method. Parameters ========== expr : expression wrt : Symbol With respect to, i.e. what is the variable params : iterable of symbols Symbols appearing in expr that are taken as constants during the iterations (these will be accepted as parameters to the generated function). func_name : str Name of the generated function. attrs : Tuple Attribute instances passed as ``attrs`` to ``FunctionDefinition``. \*\*kwargs : Keyword arguments passed to :func:`sympy.codegen.algorithms.newtons_method`. Examples ======== >>> from sympy import symbols, cos >>> from sympy.codegen.algorithms import newtons_method_function >>> from sympy.codegen.pyutils import render_as_module >>> x = symbols('x') >>> expr = cos(x) - x**3 >>> func = newtons_method_function(expr, x) >>> py_mod = render_as_module(func) # source code as string >>> namespace = {} >>> exec(py_mod, namespace, namespace) >>> res = eval('newton(0.5)', namespace) >>> abs(res - 0.865474033102) < 1e-12 True See Also ======== sympy.codegen.algorithms.newtons_method NcSs*i|]"}t|tr|jtd|jjqS)z(*%s))r-rr/rr".0prrr s z+newtons_method_function..Zd_rcSsh|] }t|qSr)r1r2rrr rz*newtons_method_function..zMissing symbols in params: %sz, css|]}t|tVqdSr)rrr2rrr rz*newtons_method_function..)attrs)rr"Zhasr,Zxreplacer-rbodyZ free_symbols difference ValueErrorjoinmapstrtupler rrr) r&r'params func_namer8rkwargsZ pointer_subsalgoZ not_in_paramsr+r9rrrnewtons_method_function^s$)  rD)rNFNN)Zsympy.core.containersrZsympy.core.numbersrZsympy.core.relationalrrZsympy.core.symbolrrZ$sympy.functions.elementary.complexesrZsympy.logic.boolalgr Zsympy.codegen.astr r r r rrrrrrrrr,r1rDrrrrs    8 H