From c9f09c42523c208875a73aa6cd366b3736a58689 Mon Sep 17 00:00:00 2001 From: Antonio Jimenez Pastor Date: Thu, 27 Sep 2018 17:50:27 +0200 Subject: [PATCH] Detected error in file toDiffAlgebraic.py (see todo) Check webpage http://functions.wolfram.com/EllipticFunctions/DedekindEta/13/01/ --- ajpastor/dd_functions/ddExamples.py | 37 +++++---- ajpastor/dd_functions/toDiffAlgebraic.py | 11 ++- ajpastor/misc/ring_w_sequence.py | 13 ++- ajpastor/operator/oreOperator.py | 2 +- ajpastor/tests/dd_functions/base_test.py | 89 +++++++++++++++++++++ releases/diff_defined_functions__0.6.zip | Bin 118125 -> 119672 bytes ...f_defined_functions__0.6__18.09.27_17:50:27.zip | Bin 0 -> 119672 bytes 7 files changed, 128 insertions(+), 24 deletions(-) create mode 100644 ajpastor/tests/dd_functions/base_test.py create mode 100644 releases/old/diff_defined_functions__0.6__18.09.27_17:50:27.zip diff --git a/ajpastor/dd_functions/ddExamples.py b/ajpastor/dd_functions/ddExamples.py index 990c203..611cf38 100644 --- a/ajpastor/dd_functions/ddExamples.py +++ b/ajpastor/dd_functions/ddExamples.py @@ -1572,27 +1572,28 @@ def __decide_parent(input, parent = None, depth = 1): - If 'input' is a polynomial, then the first generator will be consider as the variable of a DDRing and the others as parameters. Then we create the corresponding ParametrizedDDRing with the depth given. - Otherwise, we create the DDRing of the parent of 'input' of the given depth and try to work with that ring. ''' - if(parent is None): + dR = parent; + if(dR is None): R = input.parent(); if(isinstance(R, sage.symbolic.ring.SymbolicRing)): parameters = set([str(el) for el in input.variables()])-set(['x']); if(len(parameters) > 0 ): - parent = ParametrizedDDRing(DDRing(DFinite, depth=depth), parameters); + dR = ParametrizedDDRing(DDRing(DFinite, depth=depth), parameters); else: - parent = DDRing(PolynomialRing(QQ,x), depth=depth); + dR = DDRing(PolynomialRing(QQ,x), depth=depth); elif(is_MPolynomialRing(R) or is_PolynomialRing(R)): parameters = [str(gen) for gen in R.gens()[1:]]; if(len(parameters) > 0): - parent = ParametrizedDDRing(DDRing(PolynomialRing(QQ,R.gens()[0]), depth=depth), parameters); + dR = ParametrizedDDRing(DDRing(PolynomialRing(R.base(),R.gens()[0]), depth=depth), parameters); else: - parent = DDRing(PolynomialRing(QQ,R.gens()[0]), depth = depth); + dR = DDRing(PolynomialRing(R.base(),R.gens()[0]), depth = depth); else: try: - parent = DDRing(R, depth = depth); + dR = DDRing(R, depth = depth); except Exception: raise TypeError("The object provided is not in a valid Parent", e); - return parent.base()(input), parent; + return dR.base()(input), dR; def __check_list(list_of_elements, invalid_vars=[]): ''' @@ -1612,19 +1613,21 @@ def __check_list(list_of_elements, invalid_vars=[]): ''' invalid_vars = [str(el) for el in invalid_vars]; all_vars = []; + parent = QQ; for i in range(len(list_of_elements)): el = list_of_elements[i]; - if(el not in QQ): - if(isinstance(el, str)): - all_vars += [el]; + if(el in QQ): + pass; + elif(isinstance(el, str)): + all_vars += [el]; + else: + from sage.rings.fraction_field import is_FractionField; + if(is_FractionField(el.parent())): + all_vars += [str(v) for v in el.numerator().variables()]; + all_vars += [str(v) for v in el.denominator().variables()]; else: - from sage.rings.fraction_field import is_FractionField; - if(is_FractionField(el.parent())): - all_vars += [str(v) for v in el.numerator().variables()]; - all_vars += [str(v) for v in el.denominator().variables()]; - else: - all_vars += [str(v) for v in el.variables()]; - list_of_elements[i] = str(el); + all_vars += [str(v) for v in el.variables()]; + list_of_elements[i] = str(el); if(any(el in all_vars for el in invalid_vars)): raise ValueError("An invalid variable detected in the list.\n\t- Got: %s\n\t- Invalid: %s" %(list_of_elements, invalid_vars)); diff --git a/ajpastor/dd_functions/toDiffAlgebraic.py b/ajpastor/dd_functions/toDiffAlgebraic.py index e901bda..56f42fd 100644 --- a/ajpastor/dd_functions/toDiffAlgebraic.py +++ b/ajpastor/dd_functions/toDiffAlgebraic.py @@ -33,6 +33,7 @@ def get_InfinitePolynomialRingGen(parent, var, with_number = False): def get_InfinitePolynomialRingVaribale(parent, gen, number): return parent(repr(gen).replace("*", str(number))); +#### TODO: Review this function def infinite_derivative(element, times=1, var=x): if(times in ZZ and times > 1): return infinite_derivative(infinite_derivative(element, times-1)) @@ -51,15 +52,17 @@ def infinite_derivative(element, times=1, var=x): return parent.zero(); if(element.is_monomial()): if(len(element.variables()) == 1 and element.degree() == 1): - return parent(repr(parent.gen()).replace("*", str(int(str(element).split("_")[-1])+1))); + g,n = get_InfinitePolynomialRingGen(parent, element, True); + return get_InfinitePolynomialRingVaribale(parent, g,n+1); else: degrees = element.degrees(); - variables = [parent("y_%d" %i) for i in range(len(degrees))]; variables.reverse(); + variables = element.variables(); + degrees = [element.degree(v) for v in variables]; ## Computing the common factor com_factor = prod([variables[i]**(degrees[i]-1) for i in range(len(degrees)) if degrees[i] > 0]); ## Computing the derivative for each variable each_sum = [ - degrees[i]*infinite_derivative(variables[i])*prod( + degrees[i]*infinite_derivative(parent(variables[i]))*prod( variables[j] for j in range(len(variables)) if ((i != j) and (degrees[j] > 0))) for i in range(len(variables)) if degrees[i] > 0]; @@ -67,7 +70,7 @@ def infinite_derivative(element, times=1, var=x): else: coefficients = element.coefficients(); monomials = element.monomials(); - return sum([infinite_derivative(coefficients[i])*monomials[i] + coefficients[i]*infinite_derivative(parent(monomials[i])) for i in range(len(monomials))]); + return sum([infinite_derivative(coefficients[i])*monomials[i] + parent(coefficients[i])*infinite_derivative(parent(monomials[i])) for i in range(len(monomials))]); def fromInfinityPolynomial_toFinitePolynomial(poly): if(not is_InfinitePolynomialRing(poly.parent())): diff --git a/ajpastor/misc/ring_w_sequence.py b/ajpastor/misc/ring_w_sequence.py index 1d5bb7e..00ecb9e 100644 --- a/ajpastor/misc/ring_w_sequence.py +++ b/ajpastor/misc/ring_w_sequence.py @@ -91,10 +91,19 @@ class Wrap_w_Sequence_Ring (Ring_w_Sequence): raise TypeError("Element not in `self` to compute the sequence."); ##################################################################### -def sequence(el, n): +def sequence(el, n, x_required=True): R = el.parent(); if(sage.symbolic.ring.is_SymbolicExpressionRing(R)): - variable = el.variables()[0]; + variables = [str(v) for v in el.variables()]; + if('x' in variables): + variable = el.variables()[variables.index('x')]; + elif(not x_required): + variable = el.variables()[0]; + else: + if(n > 0): + return 0; + else: + return el; return el.derivative(variable,n)(**{str(variable):0})/factorial(n); if(not isinstance(R, Ring_w_Sequence)): R = Wrap_w_Sequence_Ring(R); diff --git a/ajpastor/operator/oreOperator.py b/ajpastor/operator/oreOperator.py index 16cc5f4..08b15c2 100644 --- a/ajpastor/operator/oreOperator.py +++ b/ajpastor/operator/oreOperator.py @@ -200,7 +200,7 @@ class w_OreOperator(Operator): ### MAGIC PYTHON METHODS ####################################################### def __call__(self, obj): - return self.operator(obj); + return self.operator(obj, action=lambda p : p.derivative(x)); def __repr__(self): return ("Wrapped_OreOperator(%s)"%(self.operator.__repr__())); diff --git a/ajpastor/tests/dd_functions/base_test.py b/ajpastor/tests/dd_functions/base_test.py new file mode 100644 index 0000000..bf018d6 --- /dev/null +++ b/ajpastor/tests/dd_functions/base_test.py @@ -0,0 +1,89 @@ + +# This file was *autogenerated* from the file ./dd_functions/identities.sage +from sage.all_cmdline import * # import sage library + +_sage_const_3 = Integer(3); _sage_const_2 = Integer(2); _sage_const_1 = Integer(1); _sage_const_10 = Integer(10); _sage_const_0 = Integer(0) +import sys, traceback; +from timeit import default_timer as timer; + +from ajpastor.misc.verbose import *; +from ajpastor.dd_functions import *; + + +def run(): + ## Loop variables + __MIN_N = _sage_const_2 ; + __MAX_N = _sage_const_10 ; + __DIFF = __MAX_N - __MIN_N; + + ## Verbose control + __LEVEL = -_sage_const_2 ; ## Verbose level (-2 print loops, -1 print test, 0 print global data, greater print nothing + __PREV_LEVEL = sverbose.get_level(); + + ## Extra private functions + #def assert_initial(func, symbolic, size, name): + # for i in range(size): + # func_val = func.getInitialValue(i); + # real_val = symbolic.derivative(i)(x=_sage_const_0 ); + # assert (func_val == real_val), "Error in the %d initial value of the function %s: expected %s but got %s"%(i,name,real_val,func_val); + + #def random_polynomial(min=-_sage_const_10 ,max=_sage_const_10 ,degree=_sage_const_3 ): + # R = PolynomialRing(QQ,x); + # p = R(_sage_const_1 ); + # while(p.degree() == _sage_const_0 ): + # p = R([randint(min,max) for i in range(degree+_sage_const_1 )]) + # + # return p; + + #################################################################################### + ## Setting up the tests + sverbose.set_level(__LEVEL); + __deep_wrap = sverbose.get_deep_wrapper(); + sverbose.set_deep_wrapper(-__LEVEL); + sverbose("Running tests over identities of DDFunctions"); ## HEAD LINE + sverbose(""); + sverbose("Author: Antonio Jimenez-Pastor"); ## AUTHOR LINE + sverbose("Date: 27-09-2018"); ## DATE LINE + sverbose(""); + sverbose.increase_depth(); + + + ##Starting execution + t = timer(); + ######################################### + ### TESTS FOR STRUCTURES DDRing and DDFunction + ######################################### + try: + ## How to Start a section + #sverbose("Checking trigonometric equalities"); + #sverbose.increase_depth(); + # ... + #sverbose.decrease_depth(); + + ## How to test an identity + #sverbose("sin^2(x)+cos^2(x) = 1"); + #assert Sin(x)**_sage_const_2 +Cos(x)**_sage_const_2 == _sage_const_1 , "Error with sin^2(x)+cos^2(x) = 1"; + + ## How to test a loop + #sverbose("Testing pushouts for parameters with D(QQ[x])"); + #sverbose.increase_depth(); + #sverbose.start_iteration(_sage_const_9 , True, True); + # ... code with 'sverbose.next_iteration();' + #sverbose.decrease_depth(); + #sverbose("Finished tests"); + + + except (Exception, 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