diff --git "a/venv/lib/python3.10/site-packages/sympy/core/tests/test_args.py" "b/venv/lib/python3.10/site-packages/sympy/core/tests/test_args.py" new file mode 100644--- /dev/null +++ "b/venv/lib/python3.10/site-packages/sympy/core/tests/test_args.py" @@ -0,0 +1,5363 @@ +"""Test whether all elements of cls.args are instances of Basic. """ + +# NOTE: keep tests sorted by (module, class name) key. If a class can't +# be instantiated, add it here anyway with @SKIP("abstract class) (see +# e.g. Function). + +import os +import re + +from sympy.assumptions.ask import Q +from sympy.core.basic import Basic +from sympy.core.function import (Function, Lambda) +from sympy.core.numbers import (Rational, oo, pi) +from sympy.core.relational import Eq +from sympy.core.singleton import S +from sympy.core.symbol import symbols +from sympy.functions.elementary.exponential import (exp, log) +from sympy.functions.elementary.miscellaneous import sqrt +from sympy.functions.elementary.trigonometric import sin + +from sympy.testing.pytest import SKIP + +a, b, c, x, y, z = symbols('a,b,c,x,y,z') + + +whitelist = [ + "sympy.assumptions.predicates", # tested by test_predicates() + "sympy.assumptions.relation.equality", # tested by test_predicates() +] + +def test_all_classes_are_tested(): + this = os.path.split(__file__)[0] + path = os.path.join(this, os.pardir, os.pardir) + sympy_path = os.path.abspath(path) + prefix = os.path.split(sympy_path)[0] + os.sep + + re_cls = re.compile(r"^class ([A-Za-z][A-Za-z0-9_]*)\s*\(", re.MULTILINE) + + modules = {} + + for root, dirs, files in os.walk(sympy_path): + module = root.replace(prefix, "").replace(os.sep, ".") + + for file in files: + if file.startswith(("_", "test_", "bench_")): + continue + if not file.endswith(".py"): + continue + + with open(os.path.join(root, file), encoding='utf-8') as f: + text = f.read() + + submodule = module + '.' + file[:-3] + + if any(submodule.startswith(wpath) for wpath in whitelist): + continue + + names = re_cls.findall(text) + + if not names: + continue + + try: + mod = __import__(submodule, fromlist=names) + except ImportError: + continue + + def is_Basic(name): + cls = getattr(mod, name) + if hasattr(cls, '_sympy_deprecated_func'): + cls = cls._sympy_deprecated_func + if not isinstance(cls, type): + # check instance of singleton class with same name + cls = type(cls) + return issubclass(cls, Basic) + + names = list(filter(is_Basic, names)) + + if names: + modules[submodule] = names + + ns = globals() + failed = [] + + for module, names in modules.items(): + mod = module.replace('.', '__') + + for name in names: + test = 'test_' + mod + '__' + name + + if test not in ns: + failed.append(module + '.' + name) + + assert not failed, "Missing classes: %s. Please add tests for these to sympy/core/tests/test_args.py." % ", ".join(failed) + + +def _test_args(obj): + all_basic = all(isinstance(arg, Basic) for arg in obj.args) + # Ideally obj.func(*obj.args) would always recreate the object, but for + # now, we only require it for objects with non-empty .args + recreatable = not obj.args or obj.func(*obj.args) == obj + return all_basic and recreatable + + +def test_sympy__algebras__quaternion__Quaternion(): + from sympy.algebras.quaternion import Quaternion + assert _test_args(Quaternion(x, 1, 2, 3)) + + +def test_sympy__assumptions__assume__AppliedPredicate(): + from sympy.assumptions.assume import AppliedPredicate, Predicate + assert _test_args(AppliedPredicate(Predicate("test"), 2)) + assert _test_args(Q.is_true(True)) + +@SKIP("abstract class") +def test_sympy__assumptions__assume__Predicate(): + pass + +def test_predicates(): + predicates = [ + getattr(Q, attr) + for attr in Q.__class__.__dict__ + if not attr.startswith('__')] + for p in predicates: + assert _test_args(p) + +def test_sympy__assumptions__assume__UndefinedPredicate(): + from sympy.assumptions.assume import Predicate + assert _test_args(Predicate("test")) + +@SKIP('abstract class') +def test_sympy__assumptions__relation__binrel__BinaryRelation(): + pass + +def test_sympy__assumptions__relation__binrel__AppliedBinaryRelation(): + assert _test_args(Q.eq(1, 2)) + +def test_sympy__assumptions__wrapper__AssumptionsWrapper(): + from sympy.assumptions.wrapper import AssumptionsWrapper + assert _test_args(AssumptionsWrapper(x, Q.positive(x))) + +@SKIP("abstract Class") +def test_sympy__codegen__ast__CodegenAST(): + from sympy.codegen.ast import CodegenAST + assert _test_args(CodegenAST()) + +@SKIP("abstract Class") +def test_sympy__codegen__ast__AssignmentBase(): + from sympy.codegen.ast import AssignmentBase + assert _test_args(AssignmentBase(x, 1)) + +@SKIP("abstract Class") +def test_sympy__codegen__ast__AugmentedAssignment(): + from sympy.codegen.ast import AugmentedAssignment + assert _test_args(AugmentedAssignment(x, 1)) + +def test_sympy__codegen__ast__AddAugmentedAssignment(): + from sympy.codegen.ast import AddAugmentedAssignment + assert _test_args(AddAugmentedAssignment(x, 1)) + +def test_sympy__codegen__ast__SubAugmentedAssignment(): + from sympy.codegen.ast import SubAugmentedAssignment + assert _test_args(SubAugmentedAssignment(x, 1)) + +def test_sympy__codegen__ast__MulAugmentedAssignment(): + from sympy.codegen.ast import MulAugmentedAssignment + assert _test_args(MulAugmentedAssignment(x, 1)) + +def test_sympy__codegen__ast__DivAugmentedAssignment(): + from sympy.codegen.ast import DivAugmentedAssignment + assert _test_args(DivAugmentedAssignment(x, 1)) + +def test_sympy__codegen__ast__ModAugmentedAssignment(): + from sympy.codegen.ast import ModAugmentedAssignment + assert _test_args(ModAugmentedAssignment(x, 1)) + +def test_sympy__codegen__ast__CodeBlock(): + from sympy.codegen.ast import CodeBlock, Assignment + assert _test_args(CodeBlock(Assignment(x, 1), Assignment(y, 2))) + +def test_sympy__codegen__ast__For(): + from sympy.codegen.ast import For, CodeBlock, AddAugmentedAssignment + from sympy.sets import Range + assert _test_args(For(x, Range(10), CodeBlock(AddAugmentedAssignment(y, 1)))) + + +def test_sympy__codegen__ast__Token(): + from sympy.codegen.ast import Token + assert _test_args(Token()) + + +def test_sympy__codegen__ast__ContinueToken(): + from sympy.codegen.ast import ContinueToken + assert _test_args(ContinueToken()) + +def test_sympy__codegen__ast__BreakToken(): + from sympy.codegen.ast import BreakToken + assert _test_args(BreakToken()) + +def test_sympy__codegen__ast__NoneToken(): + from sympy.codegen.ast import NoneToken + assert _test_args(NoneToken()) + +def test_sympy__codegen__ast__String(): + from sympy.codegen.ast import String + assert _test_args(String('foobar')) + +def test_sympy__codegen__ast__QuotedString(): + from sympy.codegen.ast import QuotedString + assert _test_args(QuotedString('foobar')) + +def test_sympy__codegen__ast__Comment(): + from sympy.codegen.ast import Comment + assert _test_args(Comment('this is a comment')) + +def test_sympy__codegen__ast__Node(): + from sympy.codegen.ast import Node + assert _test_args(Node()) + assert _test_args(Node(attrs={1, 2, 3})) + + +def test_sympy__codegen__ast__Type(): + from sympy.codegen.ast import Type + assert _test_args(Type('float128')) + + +def test_sympy__codegen__ast__IntBaseType(): + from sympy.codegen.ast import IntBaseType + assert _test_args(IntBaseType('bigint')) + + +def test_sympy__codegen__ast___SizedIntType(): + from sympy.codegen.ast import _SizedIntType + assert _test_args(_SizedIntType('int128', 128)) + + +def test_sympy__codegen__ast__SignedIntType(): + from sympy.codegen.ast import SignedIntType + assert _test_args(SignedIntType('int128_with_sign', 128)) + + +def test_sympy__codegen__ast__UnsignedIntType(): + from sympy.codegen.ast import UnsignedIntType + assert _test_args(UnsignedIntType('unt128', 128)) + + +def test_sympy__codegen__ast__FloatBaseType(): + from sympy.codegen.ast import FloatBaseType + assert _test_args(FloatBaseType('positive_real')) + + +def test_sympy__codegen__ast__FloatType(): + from sympy.codegen.ast import FloatType + assert _test_args(FloatType('float242', 242, nmant=142, nexp=99)) + + +def test_sympy__codegen__ast__ComplexBaseType(): + from sympy.codegen.ast import ComplexBaseType + assert _test_args(ComplexBaseType('positive_cmplx')) + +def test_sympy__codegen__ast__ComplexType(): + from sympy.codegen.ast import ComplexType + assert _test_args(ComplexType('complex42', 42, nmant=15, nexp=5)) + + +def test_sympy__codegen__ast__Attribute(): + from sympy.codegen.ast import Attribute + assert _test_args(Attribute('noexcept')) + + +def test_sympy__codegen__ast__Variable(): + from sympy.codegen.ast import Variable, Type, value_const + assert _test_args(Variable(x)) + assert _test_args(Variable(y, Type('float32'), {value_const})) + assert _test_args(Variable(z, type=Type('float64'))) + + +def test_sympy__codegen__ast__Pointer(): + from sympy.codegen.ast import Pointer, Type, pointer_const + assert _test_args(Pointer(x)) + assert _test_args(Pointer(y, type=Type('float32'))) + assert _test_args(Pointer(z, Type('float64'), {pointer_const})) + + +def test_sympy__codegen__ast__Declaration(): + from sympy.codegen.ast import Declaration, Variable, Type + vx = Variable(x, type=Type('float')) + assert _test_args(Declaration(vx)) + + +def test_sympy__codegen__ast__While(): + from sympy.codegen.ast import While, AddAugmentedAssignment + assert _test_args(While(abs(x) < 1, [AddAugmentedAssignment(x, -1)])) + + +def test_sympy__codegen__ast__Scope(): + from sympy.codegen.ast import Scope, AddAugmentedAssignment + assert _test_args(Scope([AddAugmentedAssignment(x, -1)])) + + +def test_sympy__codegen__ast__Stream(): + from sympy.codegen.ast import Stream + assert _test_args(Stream('stdin')) + +def test_sympy__codegen__ast__Print(): + from sympy.codegen.ast import Print + assert _test_args(Print([x, y])) + assert _test_args(Print([x, y], "%d %d")) + + +def test_sympy__codegen__ast__FunctionPrototype(): + from sympy.codegen.ast import FunctionPrototype, real, Declaration, Variable + inp_x = Declaration(Variable(x, type=real)) + assert _test_args(FunctionPrototype(real, 'pwer', [inp_x])) + + +def test_sympy__codegen__ast__FunctionDefinition(): + from sympy.codegen.ast import FunctionDefinition, real, Declaration, Variable, Assignment + inp_x = Declaration(Variable(x, type=real)) + assert _test_args(FunctionDefinition(real, 'pwer', [inp_x], [Assignment(x, x**2)])) + + +def test_sympy__codegen__ast__Return(): + from sympy.codegen.ast import Return + assert _test_args(Return(x)) + + +def test_sympy__codegen__ast__FunctionCall(): + from sympy.codegen.ast import FunctionCall + assert _test_args(FunctionCall('pwer', [x])) + + +def test_sympy__codegen__ast__Element(): + from sympy.codegen.ast import Element + assert _test_args(Element('x', range(3))) + + +def test_sympy__codegen__cnodes__CommaOperator(): + from sympy.codegen.cnodes import CommaOperator + assert _test_args(CommaOperator(1, 2)) + + +def test_sympy__codegen__cnodes__goto(): + from sympy.codegen.cnodes import goto + assert _test_args(goto('early_exit')) + + +def test_sympy__codegen__cnodes__Label(): + from sympy.codegen.cnodes import Label + assert _test_args(Label('early_exit')) + + +def test_sympy__codegen__cnodes__PreDecrement(): + from sympy.codegen.cnodes import PreDecrement + assert _test_args(PreDecrement(x)) + + +def test_sympy__codegen__cnodes__PostDecrement(): + from sympy.codegen.cnodes import PostDecrement + assert _test_args(PostDecrement(x)) + + +def test_sympy__codegen__cnodes__PreIncrement(): + from sympy.codegen.cnodes import PreIncrement + assert _test_args(PreIncrement(x)) + + +def test_sympy__codegen__cnodes__PostIncrement(): + from sympy.codegen.cnodes import PostIncrement + assert _test_args(PostIncrement(x)) + + +def test_sympy__codegen__cnodes__struct(): + from sympy.codegen.ast import real, Variable + from sympy.codegen.cnodes import struct + assert _test_args(struct(declarations=[ + Variable(x, type=real), + Variable(y, type=real) + ])) + + +def test_sympy__codegen__cnodes__union(): + from sympy.codegen.ast import float32, int32, Variable + from sympy.codegen.cnodes import union + assert _test_args(union(declarations=[ + Variable(x, type=float32), + Variable(y, type=int32) + ])) + + +def test_sympy__codegen__cxxnodes__using(): + from sympy.codegen.cxxnodes import using + assert _test_args(using('std::vector')) + assert _test_args(using('std::vector', 'vec')) + + +def test_sympy__codegen__fnodes__Program(): + from sympy.codegen.fnodes import Program + assert _test_args(Program('foobar', [])) + +def test_sympy__codegen__fnodes__Module(): + from sympy.codegen.fnodes import Module + assert _test_args(Module('foobar', [], [])) + + +def test_sympy__codegen__fnodes__Subroutine(): + from sympy.codegen.fnodes import Subroutine + x = symbols('x', real=True) + assert _test_args(Subroutine('foo', [x], [])) + + +def test_sympy__codegen__fnodes__GoTo(): + from sympy.codegen.fnodes import GoTo + assert _test_args(GoTo([10])) + assert _test_args(GoTo([10, 20], x > 1)) + + +def test_sympy__codegen__fnodes__FortranReturn(): + from sympy.codegen.fnodes import FortranReturn + assert _test_args(FortranReturn(10)) + + +def test_sympy__codegen__fnodes__Extent(): + from sympy.codegen.fnodes import Extent + assert _test_args(Extent()) + assert _test_args(Extent(None)) + assert _test_args(Extent(':')) + assert _test_args(Extent(-3, 4)) + assert _test_args(Extent(x, y)) + + +def test_sympy__codegen__fnodes__use_rename(): + from sympy.codegen.fnodes import use_rename + assert _test_args(use_rename('loc', 'glob')) + + +def test_sympy__codegen__fnodes__use(): + from sympy.codegen.fnodes import use + assert _test_args(use('modfoo', only='bar')) + + +def test_sympy__codegen__fnodes__SubroutineCall(): + from sympy.codegen.fnodes import SubroutineCall + assert _test_args(SubroutineCall('foo', ['bar', 'baz'])) + + +def test_sympy__codegen__fnodes__Do(): + from sympy.codegen.fnodes import Do + assert _test_args(Do([], 'i', 1, 42)) + + +def test_sympy__codegen__fnodes__ImpliedDoLoop(): + from sympy.codegen.fnodes import ImpliedDoLoop + assert _test_args(ImpliedDoLoop('i', 'i', 1, 42)) + + +def test_sympy__codegen__fnodes__ArrayConstructor(): + from sympy.codegen.fnodes import ArrayConstructor + assert _test_args(ArrayConstructor([1, 2, 3])) + from sympy.codegen.fnodes import ImpliedDoLoop + idl = ImpliedDoLoop('i', 'i', 1, 42) + assert _test_args(ArrayConstructor([1, idl, 3])) + + +def test_sympy__codegen__fnodes__sum_(): + from sympy.codegen.fnodes import sum_ + assert _test_args(sum_('arr')) + + +def test_sympy__codegen__fnodes__product_(): + from sympy.codegen.fnodes import product_ + assert _test_args(product_('arr')) + + +def test_sympy__codegen__numpy_nodes__logaddexp(): + from sympy.codegen.numpy_nodes import logaddexp + assert _test_args(logaddexp(x, y)) + + +def test_sympy__codegen__numpy_nodes__logaddexp2(): + from sympy.codegen.numpy_nodes import logaddexp2 + assert _test_args(logaddexp2(x, y)) + + +def test_sympy__codegen__pynodes__List(): + from sympy.codegen.pynodes import List + assert _test_args(List(1, 2, 3)) + + +def test_sympy__codegen__pynodes__NumExprEvaluate(): + from sympy.codegen.pynodes import NumExprEvaluate + assert _test_args(NumExprEvaluate(x)) + + +def test_sympy__codegen__scipy_nodes__cosm1(): + from sympy.codegen.scipy_nodes import cosm1 + assert _test_args(cosm1(x)) + + +def test_sympy__codegen__scipy_nodes__powm1(): + from sympy.codegen.scipy_nodes import powm1 + assert _test_args(powm1(x, y)) + + +def test_sympy__codegen__abstract_nodes__List(): + from sympy.codegen.abstract_nodes import List + assert _test_args(List(1, 2, 3)) + +def test_sympy__combinatorics__graycode__GrayCode(): + from sympy.combinatorics.graycode import GrayCode + # an integer is given and returned from GrayCode as the arg + assert _test_args(GrayCode(3, start='100')) + assert _test_args(GrayCode(3, rank=1)) + + +def test_sympy__combinatorics__permutations__Permutation(): + from sympy.combinatorics.permutations import Permutation + assert _test_args(Permutation([0, 1, 2, 3])) + +def test_sympy__combinatorics__permutations__AppliedPermutation(): + from sympy.combinatorics.permutations import Permutation + from sympy.combinatorics.permutations import AppliedPermutation + p = Permutation([0, 1, 2, 3]) + assert _test_args(AppliedPermutation(p, x)) + +def test_sympy__combinatorics__perm_groups__PermutationGroup(): + from sympy.combinatorics.permutations import Permutation + from sympy.combinatorics.perm_groups import PermutationGroup + assert _test_args(PermutationGroup([Permutation([0, 1])])) + + +def test_sympy__combinatorics__polyhedron__Polyhedron(): + from sympy.combinatorics.permutations import Permutation + from sympy.combinatorics.polyhedron import Polyhedron + from sympy.abc import w, x, y, z + pgroup = [Permutation([[0, 1, 2], [3]]), + Permutation([[0, 1, 3], [2]]), + Permutation([[0, 2, 3], [1]]), + Permutation([[1, 2, 3], [0]]), + Permutation([[0, 1], [2, 3]]), + Permutation([[0, 2], [1, 3]]), + Permutation([[0, 3], [1, 2]]), + Permutation([[0, 1, 2, 3]])] + corners = [w, x, y, z] + faces = [(w, x, y), (w, y, z), (w, z, x), (x, y, z)] + assert _test_args(Polyhedron(corners, faces, pgroup)) + + +def test_sympy__combinatorics__prufer__Prufer(): + from sympy.combinatorics.prufer import Prufer + assert _test_args(Prufer([[0, 1], [0, 2], [0, 3]], 4)) + + +def test_sympy__combinatorics__partitions__Partition(): + from sympy.combinatorics.partitions import Partition + assert _test_args(Partition([1])) + + +def test_sympy__combinatorics__partitions__IntegerPartition(): + from sympy.combinatorics.partitions import IntegerPartition + assert _test_args(IntegerPartition([1])) + + +def test_sympy__concrete__products__Product(): + from sympy.concrete.products import Product + assert _test_args(Product(x, (x, 0, 10))) + assert _test_args(Product(x, (x, 0, y), (y, 0, 10))) + + +@SKIP("abstract Class") +def test_sympy__concrete__expr_with_limits__ExprWithLimits(): + from sympy.concrete.expr_with_limits import ExprWithLimits + assert _test_args(ExprWithLimits(x, (x, 0, 10))) + assert _test_args(ExprWithLimits(x*y, (x, 0, 10.),(y,1.,3))) + + +@SKIP("abstract Class") +def test_sympy__concrete__expr_with_limits__AddWithLimits(): + from sympy.concrete.expr_with_limits import AddWithLimits + assert _test_args(AddWithLimits(x, (x, 0, 10))) + assert _test_args(AddWithLimits(x*y, (x, 0, 10),(y,1,3))) + + +@SKIP("abstract Class") +def test_sympy__concrete__expr_with_intlimits__ExprWithIntLimits(): + from sympy.concrete.expr_with_intlimits import ExprWithIntLimits + assert _test_args(ExprWithIntLimits(x, (x, 0, 10))) + assert _test_args(ExprWithIntLimits(x*y, (x, 0, 10),(y,1,3))) + + +def test_sympy__concrete__summations__Sum(): + from sympy.concrete.summations import Sum + assert _test_args(Sum(x, (x, 0, 10))) + assert _test_args(Sum(x, (x, 0, y), (y, 0, 10))) + + +def test_sympy__core__add__Add(): + from sympy.core.add import Add + assert _test_args(Add(x, y, z, 2)) + + +def test_sympy__core__basic__Atom(): + from sympy.core.basic import Atom + assert _test_args(Atom()) + + +def test_sympy__core__basic__Basic(): + from sympy.core.basic import Basic + assert _test_args(Basic()) + + +def test_sympy__core__containers__Dict(): + from sympy.core.containers import Dict + assert _test_args(Dict({x: y, y: z})) + + +def test_sympy__core__containers__Tuple(): + from sympy.core.containers import Tuple + assert _test_args(Tuple(x, y, z, 2)) + + +def test_sympy__core__expr__AtomicExpr(): + from sympy.core.expr import AtomicExpr + assert _test_args(AtomicExpr()) + + +def test_sympy__core__expr__Expr(): + from sympy.core.expr import Expr + assert _test_args(Expr()) + + +def test_sympy__core__expr__UnevaluatedExpr(): + from sympy.core.expr import UnevaluatedExpr + from sympy.abc import x + assert _test_args(UnevaluatedExpr(x)) + + +def test_sympy__core__function__Application(): + from sympy.core.function import Application + assert _test_args(Application(1, 2, 3)) + + +def test_sympy__core__function__AppliedUndef(): + from sympy.core.function import AppliedUndef + assert _test_args(AppliedUndef(1, 2, 3)) + + +def test_sympy__core__function__Derivative(): + from sympy.core.function import Derivative + assert _test_args(Derivative(2, x, y, 3)) + + +@SKIP("abstract class") +def test_sympy__core__function__Function(): + pass + + +def test_sympy__core__function__Lambda(): + assert _test_args(Lambda((x, y), x + y + z)) + + +def test_sympy__core__function__Subs(): + from sympy.core.function import Subs + assert _test_args(Subs(x + y, x, 2)) + + +def test_sympy__core__function__WildFunction(): + from sympy.core.function import WildFunction + assert _test_args(WildFunction('f')) + + +def test_sympy__core__mod__Mod(): + from sympy.core.mod import Mod + assert _test_args(Mod(x, 2)) + + +def test_sympy__core__mul__Mul(): + from sympy.core.mul import Mul + assert _test_args(Mul(2, x, y, z)) + + +def test_sympy__core__numbers__Catalan(): + from sympy.core.numbers import Catalan + assert _test_args(Catalan()) + + +def test_sympy__core__numbers__ComplexInfinity(): + from sympy.core.numbers import ComplexInfinity + assert _test_args(ComplexInfinity()) + + +def test_sympy__core__numbers__EulerGamma(): + from sympy.core.numbers import EulerGamma + assert _test_args(EulerGamma()) + + +def test_sympy__core__numbers__Exp1(): + from sympy.core.numbers import Exp1 + assert _test_args(Exp1()) + + +def test_sympy__core__numbers__Float(): + from sympy.core.numbers import Float + assert _test_args(Float(1.23)) + + +def test_sympy__core__numbers__GoldenRatio(): + from sympy.core.numbers import GoldenRatio + assert _test_args(GoldenRatio()) + + +def test_sympy__core__numbers__TribonacciConstant(): + from sympy.core.numbers import TribonacciConstant + assert _test_args(TribonacciConstant()) + + +def test_sympy__core__numbers__Half(): + from sympy.core.numbers import Half + assert _test_args(Half()) + + +def test_sympy__core__numbers__ImaginaryUnit(): + from sympy.core.numbers import ImaginaryUnit + assert _test_args(ImaginaryUnit()) + + +def test_sympy__core__numbers__Infinity(): + from sympy.core.numbers import Infinity + assert _test_args(Infinity()) + + +def test_sympy__core__numbers__Integer(): + from sympy.core.numbers import Integer + assert _test_args(Integer(7)) + + +@SKIP("abstract class") +def test_sympy__core__numbers__IntegerConstant(): + pass + + +def test_sympy__core__numbers__NaN(): + from sympy.core.numbers import NaN + assert _test_args(NaN()) + + +def test_sympy__core__numbers__NegativeInfinity(): + from sympy.core.numbers import NegativeInfinity + assert _test_args(NegativeInfinity()) + + +def test_sympy__core__numbers__NegativeOne(): + from sympy.core.numbers import NegativeOne + assert _test_args(NegativeOne()) + + +def test_sympy__core__numbers__Number(): + from sympy.core.numbers import Number + assert _test_args(Number(1, 7)) + + +def test_sympy__core__numbers__NumberSymbol(): + from sympy.core.numbers import NumberSymbol + assert _test_args(NumberSymbol()) + + +def test_sympy__core__numbers__One(): + from sympy.core.numbers import One + assert _test_args(One()) + + +def test_sympy__core__numbers__Pi(): + from sympy.core.numbers import Pi + assert _test_args(Pi()) + + +def test_sympy__core__numbers__Rational(): + from sympy.core.numbers import Rational + assert _test_args(Rational(1, 7)) + + +@SKIP("abstract class") +def test_sympy__core__numbers__RationalConstant(): + pass + + +def test_sympy__core__numbers__Zero(): + from sympy.core.numbers import Zero + assert _test_args(Zero()) + + +@SKIP("abstract class") +def test_sympy__core__operations__AssocOp(): + pass + + +@SKIP("abstract class") +def test_sympy__core__operations__LatticeOp(): + pass + + +def test_sympy__core__power__Pow(): + from sympy.core.power import Pow + assert _test_args(Pow(x, 2)) + + +def test_sympy__core__relational__Equality(): + from sympy.core.relational import Equality + assert _test_args(Equality(x, 2)) + + +def test_sympy__core__relational__GreaterThan(): + from sympy.core.relational import GreaterThan + assert _test_args(GreaterThan(x, 2)) + + +def test_sympy__core__relational__LessThan(): + from sympy.core.relational import LessThan + assert _test_args(LessThan(x, 2)) + + +@SKIP("abstract class") +def test_sympy__core__relational__Relational(): + pass + + +def test_sympy__core__relational__StrictGreaterThan(): + from sympy.core.relational import StrictGreaterThan + assert _test_args(StrictGreaterThan(x, 2)) + + +def test_sympy__core__relational__StrictLessThan(): + from sympy.core.relational import StrictLessThan + assert _test_args(StrictLessThan(x, 2)) + + +def test_sympy__core__relational__Unequality(): + from sympy.core.relational import Unequality + assert _test_args(Unequality(x, 2)) + + +def test_sympy__sandbox__indexed_integrals__IndexedIntegral(): + from sympy.tensor import IndexedBase, Idx + from sympy.sandbox.indexed_integrals import IndexedIntegral + A = IndexedBase('A') + i, j = symbols('i j', integer=True) + a1, a2 = symbols('a1:3', cls=Idx) + assert _test_args(IndexedIntegral(A[a1], A[a2])) + assert _test_args(IndexedIntegral(A[i], A[j])) + + +def test_sympy__calculus__accumulationbounds__AccumulationBounds(): + from sympy.calculus.accumulationbounds import AccumulationBounds + assert _test_args(AccumulationBounds(0, 1)) + + +def test_sympy__sets__ordinals__OmegaPower(): + from sympy.sets.ordinals import OmegaPower + assert _test_args(OmegaPower(1, 1)) + +def test_sympy__sets__ordinals__Ordinal(): + from sympy.sets.ordinals import Ordinal, OmegaPower + assert _test_args(Ordinal(OmegaPower(2, 1))) + +def test_sympy__sets__ordinals__OrdinalOmega(): + from sympy.sets.ordinals import OrdinalOmega + assert _test_args(OrdinalOmega()) + +def test_sympy__sets__ordinals__OrdinalZero(): + from sympy.sets.ordinals import OrdinalZero + assert _test_args(OrdinalZero()) + + +def test_sympy__sets__powerset__PowerSet(): + from sympy.sets.powerset import PowerSet + from sympy.core.singleton import S + assert _test_args(PowerSet(S.EmptySet)) + + +def test_sympy__sets__sets__EmptySet(): + from sympy.sets.sets import EmptySet + assert _test_args(EmptySet()) + + +def test_sympy__sets__sets__UniversalSet(): + from sympy.sets.sets import UniversalSet + assert _test_args(UniversalSet()) + + +def test_sympy__sets__sets__FiniteSet(): + from sympy.sets.sets import FiniteSet + assert _test_args(FiniteSet(x, y, z)) + + +def test_sympy__sets__sets__Interval(): + from sympy.sets.sets import Interval + assert _test_args(Interval(0, 1)) + + +def test_sympy__sets__sets__ProductSet(): + from sympy.sets.sets import ProductSet, Interval + assert _test_args(ProductSet(Interval(0, 1), Interval(0, 1))) + + +@SKIP("does it make sense to test this?") +def test_sympy__sets__sets__Set(): + from sympy.sets.sets import Set + assert _test_args(Set()) + + +def test_sympy__sets__sets__Intersection(): + from sympy.sets.sets import Intersection, Interval + from sympy.core.symbol import Symbol + x = Symbol('x') + y = Symbol('y') + S = Intersection(Interval(0, x), Interval(y, 1)) + assert isinstance(S, Intersection) + assert _test_args(S) + + +def test_sympy__sets__sets__Union(): + from sympy.sets.sets import Union, Interval + assert _test_args(Union(Interval(0, 1), Interval(2, 3))) + + +def test_sympy__sets__sets__Complement(): + from sympy.sets.sets import Complement, Interval + assert _test_args(Complement(Interval(0, 2), Interval(0, 1))) + + +def test_sympy__sets__sets__SymmetricDifference(): + from sympy.sets.sets import FiniteSet, SymmetricDifference + assert _test_args(SymmetricDifference(FiniteSet(1, 2, 3), \ + FiniteSet(2, 3, 4))) + +def test_sympy__sets__sets__DisjointUnion(): + from sympy.sets.sets import FiniteSet, DisjointUnion + assert _test_args(DisjointUnion(FiniteSet(1, 2, 3), \ + FiniteSet(2, 3, 4))) + + +def test_sympy__physics__quantum__trace__Tr(): + from sympy.physics.quantum.trace import Tr + a, b = symbols('a b', commutative=False) + assert _test_args(Tr(a + b)) + + +def test_sympy__sets__setexpr__SetExpr(): + from sympy.sets.setexpr import SetExpr + from sympy.sets.sets import Interval + assert _test_args(SetExpr(Interval(0, 1))) + + +def test_sympy__sets__fancysets__Rationals(): + from sympy.sets.fancysets import Rationals + assert _test_args(Rationals()) + + +def test_sympy__sets__fancysets__Naturals(): + from sympy.sets.fancysets import Naturals + assert _test_args(Naturals()) + + +def test_sympy__sets__fancysets__Naturals0(): + from sympy.sets.fancysets import Naturals0 + assert _test_args(Naturals0()) + + +def test_sympy__sets__fancysets__Integers(): + from sympy.sets.fancysets import Integers + assert _test_args(Integers()) + + +def test_sympy__sets__fancysets__Reals(): + from sympy.sets.fancysets import Reals + assert _test_args(Reals()) + + +def test_sympy__sets__fancysets__Complexes(): + from sympy.sets.fancysets import Complexes + assert _test_args(Complexes()) + + +def test_sympy__sets__fancysets__ComplexRegion(): + from sympy.sets.fancysets import ComplexRegion + from sympy.core.singleton import S + from sympy.sets import Interval + a = Interval(0, 1) + b = Interval(2, 3) + theta = Interval(0, 2*S.Pi) + assert _test_args(ComplexRegion(a*b)) + assert _test_args(ComplexRegion(a*theta, polar=True)) + + +def test_sympy__sets__fancysets__CartesianComplexRegion(): + from sympy.sets.fancysets import CartesianComplexRegion + from sympy.sets import Interval + a = Interval(0, 1) + b = Interval(2, 3) + assert _test_args(CartesianComplexRegion(a*b)) + + +def test_sympy__sets__fancysets__PolarComplexRegion(): + from sympy.sets.fancysets import PolarComplexRegion + from sympy.core.singleton import S + from sympy.sets import Interval + a = Interval(0, 1) + theta = Interval(0, 2*S.Pi) + assert _test_args(PolarComplexRegion(a*theta)) + + +def test_sympy__sets__fancysets__ImageSet(): + from sympy.sets.fancysets import ImageSet + from sympy.core.singleton import S + from sympy.core.symbol import Symbol + x = Symbol('x') + assert _test_args(ImageSet(Lambda(x, x**2), S.Naturals)) + + +def test_sympy__sets__fancysets__Range(): + from sympy.sets.fancysets import Range + assert _test_args(Range(1, 5, 1)) + + +def test_sympy__sets__conditionset__ConditionSet(): + from sympy.sets.conditionset import ConditionSet + from sympy.core.singleton import S + from sympy.core.symbol import Symbol + x = Symbol('x') + assert _test_args(ConditionSet(x, Eq(x**2, 1), S.Reals)) + + +def test_sympy__sets__contains__Contains(): + from sympy.sets.fancysets import Range + from sympy.sets.contains import Contains + assert _test_args(Contains(x, Range(0, 10, 2))) + + +# STATS + + +from sympy.stats.crv_types import NormalDistribution +nd = NormalDistribution(0, 1) +from sympy.stats.frv_types import DieDistribution +die = DieDistribution(6) + + +def test_sympy__stats__crv__ContinuousDomain(): + from sympy.sets.sets import Interval + from sympy.stats.crv import ContinuousDomain + assert _test_args(ContinuousDomain({x}, Interval(-oo, oo))) + + +def test_sympy__stats__crv__SingleContinuousDomain(): + from sympy.sets.sets import Interval + from sympy.stats.crv import SingleContinuousDomain + assert _test_args(SingleContinuousDomain(x, Interval(-oo, oo))) + + +def test_sympy__stats__crv__ProductContinuousDomain(): + from sympy.sets.sets import Interval + from sympy.stats.crv import SingleContinuousDomain, ProductContinuousDomain + D = SingleContinuousDomain(x, Interval(-oo, oo)) + E = SingleContinuousDomain(y, Interval(0, oo)) + assert _test_args(ProductContinuousDomain(D, E)) + + +def test_sympy__stats__crv__ConditionalContinuousDomain(): + from sympy.sets.sets import Interval + from sympy.stats.crv import (SingleContinuousDomain, + ConditionalContinuousDomain) + D = SingleContinuousDomain(x, Interval(-oo, oo)) + assert _test_args(ConditionalContinuousDomain(D, x > 0)) + + +def test_sympy__stats__crv__ContinuousPSpace(): + from sympy.sets.sets import Interval + from sympy.stats.crv import ContinuousPSpace, SingleContinuousDomain + D = SingleContinuousDomain(x, Interval(-oo, oo)) + assert _test_args(ContinuousPSpace(D, nd)) + + +def test_sympy__stats__crv__SingleContinuousPSpace(): + from sympy.stats.crv import SingleContinuousPSpace + assert _test_args(SingleContinuousPSpace(x, nd)) + +@SKIP("abstract class") +def test_sympy__stats__rv__Distribution(): + pass + +@SKIP("abstract class") +def test_sympy__stats__crv__SingleContinuousDistribution(): + pass + + +def test_sympy__stats__drv__SingleDiscreteDomain(): + from sympy.stats.drv import SingleDiscreteDomain + assert _test_args(SingleDiscreteDomain(x, S.Naturals)) + + +def test_sympy__stats__drv__ProductDiscreteDomain(): + from sympy.stats.drv import SingleDiscreteDomain, ProductDiscreteDomain + X = SingleDiscreteDomain(x, S.Naturals) + Y = SingleDiscreteDomain(y, S.Integers) + assert _test_args(ProductDiscreteDomain(X, Y)) + + +def test_sympy__stats__drv__SingleDiscretePSpace(): + from sympy.stats.drv import SingleDiscretePSpace + from sympy.stats.drv_types import PoissonDistribution + assert _test_args(SingleDiscretePSpace(x, PoissonDistribution(1))) + +def test_sympy__stats__drv__DiscretePSpace(): + from sympy.stats.drv import DiscretePSpace, SingleDiscreteDomain + density = Lambda(x, 2**(-x)) + domain = SingleDiscreteDomain(x, S.Naturals) + assert _test_args(DiscretePSpace(domain, density)) + +def test_sympy__stats__drv__ConditionalDiscreteDomain(): + from sympy.stats.drv import ConditionalDiscreteDomain, SingleDiscreteDomain + X = SingleDiscreteDomain(x, S.Naturals0) + assert _test_args(ConditionalDiscreteDomain(X, x > 2)) + +def test_sympy__stats__joint_rv__JointPSpace(): + from sympy.stats.joint_rv import JointPSpace, JointDistribution + assert _test_args(JointPSpace('X', JointDistribution(1))) + +def test_sympy__stats__joint_rv__JointRandomSymbol(): + from sympy.stats.joint_rv import JointRandomSymbol + assert _test_args(JointRandomSymbol(x)) + +def test_sympy__stats__joint_rv_types__JointDistributionHandmade(): + from sympy.tensor.indexed import Indexed + from sympy.stats.joint_rv_types import JointDistributionHandmade + x1, x2 = (Indexed('x', i) for i in (1, 2)) + assert _test_args(JointDistributionHandmade(x1 + x2, S.Reals**2)) + + +def test_sympy__stats__joint_rv__MarginalDistribution(): + from sympy.stats.rv import RandomSymbol + from sympy.stats.joint_rv import MarginalDistribution + r = RandomSymbol(S('r')) + assert _test_args(MarginalDistribution(r, (r,))) + + +def test_sympy__stats__compound_rv__CompoundDistribution(): + from sympy.stats.compound_rv import CompoundDistribution + from sympy.stats.drv_types import PoissonDistribution, Poisson + r = Poisson('r', 10) + assert _test_args(CompoundDistribution(PoissonDistribution(r))) + + +def test_sympy__stats__compound_rv__CompoundPSpace(): + from sympy.stats.compound_rv import CompoundPSpace, CompoundDistribution + from sympy.stats.drv_types import PoissonDistribution, Poisson + r = Poisson('r', 5) + C = CompoundDistribution(PoissonDistribution(r)) + assert _test_args(CompoundPSpace('C', C)) + + +@SKIP("abstract class") +def test_sympy__stats__drv__SingleDiscreteDistribution(): + pass + +@SKIP("abstract class") +def test_sympy__stats__drv__DiscreteDistribution(): + pass + +@SKIP("abstract class") +def test_sympy__stats__drv__DiscreteDomain(): + pass + + +def test_sympy__stats__rv__RandomDomain(): + from sympy.stats.rv import RandomDomain + from sympy.sets.sets import FiniteSet + assert _test_args(RandomDomain(FiniteSet(x), FiniteSet(1, 2, 3))) + + +def test_sympy__stats__rv__SingleDomain(): + from sympy.stats.rv import SingleDomain + from sympy.sets.sets import FiniteSet + assert _test_args(SingleDomain(x, FiniteSet(1, 2, 3))) + + +def test_sympy__stats__rv__ConditionalDomain(): + from sympy.stats.rv import ConditionalDomain, RandomDomain + from sympy.sets.sets import FiniteSet + D = RandomDomain(FiniteSet(x), FiniteSet(1, 2)) + assert _test_args(ConditionalDomain(D, x > 1)) + +def test_sympy__stats__rv__MatrixDomain(): + from sympy.stats.rv import MatrixDomain + from sympy.matrices import MatrixSet + from sympy.core.singleton import S + assert _test_args(MatrixDomain(x, MatrixSet(2, 2, S.Reals))) + +def test_sympy__stats__rv__PSpace(): + from sympy.stats.rv import PSpace, RandomDomain + from sympy.sets.sets import FiniteSet + D = RandomDomain(FiniteSet(x), FiniteSet(1, 2, 3, 4, 5, 6)) + assert _test_args(PSpace(D, die)) + + +@SKIP("abstract Class") +def test_sympy__stats__rv__SinglePSpace(): + pass + + +def test_sympy__stats__rv__RandomSymbol(): + from sympy.stats.rv import RandomSymbol + from sympy.stats.crv import SingleContinuousPSpace + A = SingleContinuousPSpace(x, nd) + assert _test_args(RandomSymbol(x, A)) + + +@SKIP("abstract Class") +def test_sympy__stats__rv__ProductPSpace(): + pass + + +def test_sympy__stats__rv__IndependentProductPSpace(): + from sympy.stats.rv import IndependentProductPSpace + from sympy.stats.crv import SingleContinuousPSpace + A = SingleContinuousPSpace(x, nd) + B = SingleContinuousPSpace(y, nd) + assert _test_args(IndependentProductPSpace(A, B)) + + +def test_sympy__stats__rv__ProductDomain(): + from sympy.sets.sets import Interval + from sympy.stats.rv import ProductDomain, SingleDomain + D = SingleDomain(x, Interval(-oo, oo)) + E = SingleDomain(y, Interval(0, oo)) + assert _test_args(ProductDomain(D, E)) + + +def test_sympy__stats__symbolic_probability__Probability(): + from sympy.stats.symbolic_probability import Probability + from sympy.stats import Normal + X = Normal('X', 0, 1) + assert _test_args(Probability(X > 0)) + + +def test_sympy__stats__symbolic_probability__Expectation(): + from sympy.stats.symbolic_probability import Expectation + from sympy.stats import Normal + X = Normal('X', 0, 1) + assert _test_args(Expectation(X > 0)) + + +def test_sympy__stats__symbolic_probability__Covariance(): + from sympy.stats.symbolic_probability import Covariance + from sympy.stats import Normal + X = Normal('X', 0, 1) + Y = Normal('Y', 0, 3) + assert _test_args(Covariance(X, Y)) + + +def test_sympy__stats__symbolic_probability__Variance(): + from sympy.stats.symbolic_probability import Variance + from sympy.stats import Normal + X = Normal('X', 0, 1) + assert _test_args(Variance(X)) + + +def test_sympy__stats__symbolic_probability__Moment(): + from sympy.stats.symbolic_probability import Moment + from sympy.stats import Normal + X = Normal('X', 0, 1) + assert _test_args(Moment(X, 3, 2, X > 3)) + + +def test_sympy__stats__symbolic_probability__CentralMoment(): + from sympy.stats.symbolic_probability import CentralMoment + from sympy.stats import Normal + X = Normal('X', 0, 1) + assert _test_args(CentralMoment(X, 2, X > 1)) + + +def test_sympy__stats__frv_types__DiscreteUniformDistribution(): + from sympy.stats.frv_types import DiscreteUniformDistribution + from sympy.core.containers import Tuple + assert _test_args(DiscreteUniformDistribution(Tuple(*list(range(6))))) + + +def test_sympy__stats__frv_types__DieDistribution(): + assert _test_args(die) + + +def test_sympy__stats__frv_types__BernoulliDistribution(): + from sympy.stats.frv_types import BernoulliDistribution + assert _test_args(BernoulliDistribution(S.Half, 0, 1)) + + +def test_sympy__stats__frv_types__BinomialDistribution(): + from sympy.stats.frv_types import BinomialDistribution + assert _test_args(BinomialDistribution(5, S.Half, 1, 0)) + +def test_sympy__stats__frv_types__BetaBinomialDistribution(): + from sympy.stats.frv_types import BetaBinomialDistribution + assert _test_args(BetaBinomialDistribution(5, 1, 1)) + + +def test_sympy__stats__frv_types__HypergeometricDistribution(): + from sympy.stats.frv_types import HypergeometricDistribution + assert _test_args(HypergeometricDistribution(10, 5, 3)) + + +def test_sympy__stats__frv_types__RademacherDistribution(): + from sympy.stats.frv_types import RademacherDistribution + assert _test_args(RademacherDistribution()) + +def test_sympy__stats__frv_types__IdealSolitonDistribution(): + from sympy.stats.frv_types import IdealSolitonDistribution + assert _test_args(IdealSolitonDistribution(10)) + +def test_sympy__stats__frv_types__RobustSolitonDistribution(): + from sympy.stats.frv_types import RobustSolitonDistribution + assert _test_args(RobustSolitonDistribution(1000, 0.5, 0.1)) + +def test_sympy__stats__frv__FiniteDomain(): + from sympy.stats.frv import FiniteDomain + assert _test_args(FiniteDomain({(x, 1), (x, 2)})) # x can be 1 or 2 + + +def test_sympy__stats__frv__SingleFiniteDomain(): + from sympy.stats.frv import SingleFiniteDomain + assert _test_args(SingleFiniteDomain(x, {1, 2})) # x can be 1 or 2 + + +def test_sympy__stats__frv__ProductFiniteDomain(): + from sympy.stats.frv import SingleFiniteDomain, ProductFiniteDomain + xd = SingleFiniteDomain(x, {1, 2}) + yd = SingleFiniteDomain(y, {1, 2}) + assert _test_args(ProductFiniteDomain(xd, yd)) + + +def test_sympy__stats__frv__ConditionalFiniteDomain(): + from sympy.stats.frv import SingleFiniteDomain, ConditionalFiniteDomain + xd = SingleFiniteDomain(x, {1, 2}) + assert _test_args(ConditionalFiniteDomain(xd, x > 1)) + + +def test_sympy__stats__frv__FinitePSpace(): + from sympy.stats.frv import FinitePSpace, SingleFiniteDomain + xd = SingleFiniteDomain(x, {1, 2, 3, 4, 5, 6}) + assert _test_args(FinitePSpace(xd, {(x, 1): S.Half, (x, 2): S.Half})) + + xd = SingleFiniteDomain(x, {1, 2}) + assert _test_args(FinitePSpace(xd, {(x, 1): S.Half, (x, 2): S.Half})) + + +def test_sympy__stats__frv__SingleFinitePSpace(): + from sympy.stats.frv import SingleFinitePSpace + from sympy.core.symbol import Symbol + + assert _test_args(SingleFinitePSpace(Symbol('x'), die)) + + +def test_sympy__stats__frv__ProductFinitePSpace(): + from sympy.stats.frv import SingleFinitePSpace, ProductFinitePSpace + from sympy.core.symbol import Symbol + xp = SingleFinitePSpace(Symbol('x'), die) + yp = SingleFinitePSpace(Symbol('y'), die) + assert _test_args(ProductFinitePSpace(xp, yp)) + +@SKIP("abstract class") +def test_sympy__stats__frv__SingleFiniteDistribution(): + pass + +@SKIP("abstract class") +def test_sympy__stats__crv__ContinuousDistribution(): + pass + + +def test_sympy__stats__frv_types__FiniteDistributionHandmade(): + from sympy.stats.frv_types import FiniteDistributionHandmade + from sympy.core.containers import Dict + assert _test_args(FiniteDistributionHandmade(Dict({1: 1}))) + + +def test_sympy__stats__crv_types__ContinuousDistributionHandmade(): + from sympy.stats.crv_types import ContinuousDistributionHandmade + from sympy.core.function import Lambda + from sympy.sets.sets import Interval + from sympy.abc import x + assert _test_args(ContinuousDistributionHandmade(Lambda(x, 2*x), + Interval(0, 1))) + + +def test_sympy__stats__drv_types__DiscreteDistributionHandmade(): + from sympy.stats.drv_types import DiscreteDistributionHandmade + from sympy.core.function import Lambda + from sympy.sets.sets import FiniteSet + from sympy.abc import x + assert _test_args(DiscreteDistributionHandmade(Lambda(x, Rational(1, 10)), + FiniteSet(*range(10)))) + + +def test_sympy__stats__rv__Density(): + from sympy.stats.rv import Density + from sympy.stats.crv_types import Normal + assert _test_args(Density(Normal('x', 0, 1))) + + +def test_sympy__stats__crv_types__ArcsinDistribution(): + from sympy.stats.crv_types import ArcsinDistribution + assert _test_args(ArcsinDistribution(0, 1)) + + +def test_sympy__stats__crv_types__BeniniDistribution(): + from sympy.stats.crv_types import BeniniDistribution + assert _test_args(BeniniDistribution(1, 1, 1)) + + +def test_sympy__stats__crv_types__BetaDistribution(): + from sympy.stats.crv_types import BetaDistribution + assert _test_args(BetaDistribution(1, 1)) + +def test_sympy__stats__crv_types__BetaNoncentralDistribution(): + from sympy.stats.crv_types import BetaNoncentralDistribution + assert _test_args(BetaNoncentralDistribution(1, 1, 1)) + + +def test_sympy__stats__crv_types__BetaPrimeDistribution(): + from sympy.stats.crv_types import BetaPrimeDistribution + assert _test_args(BetaPrimeDistribution(1, 1)) + +def test_sympy__stats__crv_types__BoundedParetoDistribution(): + from sympy.stats.crv_types import BoundedParetoDistribution + assert _test_args(BoundedParetoDistribution(1, 1, 2)) + +def test_sympy__stats__crv_types__CauchyDistribution(): + from sympy.stats.crv_types import CauchyDistribution + assert _test_args(CauchyDistribution(0, 1)) + + +def test_sympy__stats__crv_types__ChiDistribution(): + from sympy.stats.crv_types import ChiDistribution + assert _test_args(ChiDistribution(1)) + + +def test_sympy__stats__crv_types__ChiNoncentralDistribution(): + from sympy.stats.crv_types import ChiNoncentralDistribution + assert _test_args(ChiNoncentralDistribution(1,1)) + + +def test_sympy__stats__crv_types__ChiSquaredDistribution(): + from sympy.stats.crv_types import ChiSquaredDistribution + assert _test_args(ChiSquaredDistribution(1)) + + +def test_sympy__stats__crv_types__DagumDistribution(): + from sympy.stats.crv_types import DagumDistribution + assert _test_args(DagumDistribution(1, 1, 1)) + + +def test_sympy__stats__crv_types__ExGaussianDistribution(): + from sympy.stats.crv_types import ExGaussianDistribution + assert _test_args(ExGaussianDistribution(1, 1, 1)) + + +def test_sympy__stats__crv_types__ExponentialDistribution(): + from sympy.stats.crv_types import ExponentialDistribution + assert _test_args(ExponentialDistribution(1)) + + +def test_sympy__stats__crv_types__ExponentialPowerDistribution(): + from sympy.stats.crv_types import ExponentialPowerDistribution + assert _test_args(ExponentialPowerDistribution(0, 1, 1)) + + +def test_sympy__stats__crv_types__FDistributionDistribution(): + from sympy.stats.crv_types import FDistributionDistribution + assert _test_args(FDistributionDistribution(1, 1)) + + +def test_sympy__stats__crv_types__FisherZDistribution(): + from sympy.stats.crv_types import FisherZDistribution + assert _test_args(FisherZDistribution(1, 1)) + + +def test_sympy__stats__crv_types__FrechetDistribution(): + from sympy.stats.crv_types import FrechetDistribution + assert _test_args(FrechetDistribution(1, 1, 1)) + + +def test_sympy__stats__crv_types__GammaInverseDistribution(): + from sympy.stats.crv_types import GammaInverseDistribution + assert _test_args(GammaInverseDistribution(1, 1)) + + +def test_sympy__stats__crv_types__GammaDistribution(): + from sympy.stats.crv_types import GammaDistribution + assert _test_args(GammaDistribution(1, 1)) + +def test_sympy__stats__crv_types__GumbelDistribution(): + from sympy.stats.crv_types import GumbelDistribution + assert _test_args(GumbelDistribution(1, 1, False)) + +def test_sympy__stats__crv_types__GompertzDistribution(): + from sympy.stats.crv_types import GompertzDistribution + assert _test_args(GompertzDistribution(1, 1)) + +def test_sympy__stats__crv_types__KumaraswamyDistribution(): + from sympy.stats.crv_types import KumaraswamyDistribution + assert _test_args(KumaraswamyDistribution(1, 1)) + +def test_sympy__stats__crv_types__LaplaceDistribution(): + from sympy.stats.crv_types import LaplaceDistribution + assert _test_args(LaplaceDistribution(0, 1)) + +def test_sympy__stats__crv_types__LevyDistribution(): + from sympy.stats.crv_types import LevyDistribution + assert _test_args(LevyDistribution(0, 1)) + +def test_sympy__stats__crv_types__LogCauchyDistribution(): + from sympy.stats.crv_types import LogCauchyDistribution + assert _test_args(LogCauchyDistribution(0, 1)) + +def test_sympy__stats__crv_types__LogisticDistribution(): + from sympy.stats.crv_types import LogisticDistribution + assert _test_args(LogisticDistribution(0, 1)) + +def test_sympy__stats__crv_types__LogLogisticDistribution(): + from sympy.stats.crv_types import LogLogisticDistribution + assert _test_args(LogLogisticDistribution(1, 1)) + +def test_sympy__stats__crv_types__LogitNormalDistribution(): + from sympy.stats.crv_types import LogitNormalDistribution + assert _test_args(LogitNormalDistribution(0, 1)) + +def test_sympy__stats__crv_types__LogNormalDistribution(): + from sympy.stats.crv_types import LogNormalDistribution + assert _test_args(LogNormalDistribution(0, 1)) + +def test_sympy__stats__crv_types__LomaxDistribution(): + from sympy.stats.crv_types import LomaxDistribution + assert _test_args(LomaxDistribution(1, 2)) + +def test_sympy__stats__crv_types__MaxwellDistribution(): + from sympy.stats.crv_types import MaxwellDistribution + assert _test_args(MaxwellDistribution(1)) + +def test_sympy__stats__crv_types__MoyalDistribution(): + from sympy.stats.crv_types import MoyalDistribution + assert _test_args(MoyalDistribution(1,2)) + +def test_sympy__stats__crv_types__NakagamiDistribution(): + from sympy.stats.crv_types import NakagamiDistribution + assert _test_args(NakagamiDistribution(1, 1)) + + +def test_sympy__stats__crv_types__NormalDistribution(): + from sympy.stats.crv_types import NormalDistribution + assert _test_args(NormalDistribution(0, 1)) + +def test_sympy__stats__crv_types__GaussianInverseDistribution(): + from sympy.stats.crv_types import GaussianInverseDistribution + assert _test_args(GaussianInverseDistribution(1, 1)) + + +def test_sympy__stats__crv_types__ParetoDistribution(): + from sympy.stats.crv_types import ParetoDistribution + assert _test_args(ParetoDistribution(1, 1)) + +def test_sympy__stats__crv_types__PowerFunctionDistribution(): + from sympy.stats.crv_types import PowerFunctionDistribution + assert _test_args(PowerFunctionDistribution(2,0,1)) + +def test_sympy__stats__crv_types__QuadraticUDistribution(): + from sympy.stats.crv_types import QuadraticUDistribution + assert _test_args(QuadraticUDistribution(1, 2)) + +def test_sympy__stats__crv_types__RaisedCosineDistribution(): + from sympy.stats.crv_types import RaisedCosineDistribution + assert _test_args(RaisedCosineDistribution(1, 1)) + +def test_sympy__stats__crv_types__RayleighDistribution(): + from sympy.stats.crv_types import RayleighDistribution + assert _test_args(RayleighDistribution(1)) + +def test_sympy__stats__crv_types__ReciprocalDistribution(): + from sympy.stats.crv_types import ReciprocalDistribution + assert _test_args(ReciprocalDistribution(5, 30)) + +def test_sympy__stats__crv_types__ShiftedGompertzDistribution(): + from sympy.stats.crv_types import ShiftedGompertzDistribution + assert _test_args(ShiftedGompertzDistribution(1, 1)) + +def test_sympy__stats__crv_types__StudentTDistribution(): + from sympy.stats.crv_types import StudentTDistribution + assert _test_args(StudentTDistribution(1)) + +def test_sympy__stats__crv_types__TrapezoidalDistribution(): + from sympy.stats.crv_types import TrapezoidalDistribution + assert _test_args(TrapezoidalDistribution(1, 2, 3, 4)) + +def test_sympy__stats__crv_types__TriangularDistribution(): + from sympy.stats.crv_types import TriangularDistribution + assert _test_args(TriangularDistribution(-1, 0, 1)) + + +def test_sympy__stats__crv_types__UniformDistribution(): + from sympy.stats.crv_types import UniformDistribution + assert _test_args(UniformDistribution(0, 1)) + + +def test_sympy__stats__crv_types__UniformSumDistribution(): + from sympy.stats.crv_types import UniformSumDistribution + assert _test_args(UniformSumDistribution(1)) + + +def test_sympy__stats__crv_types__VonMisesDistribution(): + from sympy.stats.crv_types import VonMisesDistribution + assert _test_args(VonMisesDistribution(1, 1)) + + +def test_sympy__stats__crv_types__WeibullDistribution(): + from sympy.stats.crv_types import WeibullDistribution + assert _test_args(WeibullDistribution(1, 1)) + + +def test_sympy__stats__crv_types__WignerSemicircleDistribution(): + from sympy.stats.crv_types import WignerSemicircleDistribution + assert _test_args(WignerSemicircleDistribution(1)) + + +def test_sympy__stats__drv_types__GeometricDistribution(): + from sympy.stats.drv_types import GeometricDistribution + assert _test_args(GeometricDistribution(.5)) + +def test_sympy__stats__drv_types__HermiteDistribution(): + from sympy.stats.drv_types import HermiteDistribution + assert _test_args(HermiteDistribution(1, 2)) + +def test_sympy__stats__drv_types__LogarithmicDistribution(): + from sympy.stats.drv_types import LogarithmicDistribution + assert _test_args(LogarithmicDistribution(.5)) + + +def test_sympy__stats__drv_types__NegativeBinomialDistribution(): + from sympy.stats.drv_types import NegativeBinomialDistribution + assert _test_args(NegativeBinomialDistribution(.5, .5)) + +def test_sympy__stats__drv_types__FlorySchulzDistribution(): + from sympy.stats.drv_types import FlorySchulzDistribution + assert _test_args(FlorySchulzDistribution(.5)) + +def test_sympy__stats__drv_types__PoissonDistribution(): + from sympy.stats.drv_types import PoissonDistribution + assert _test_args(PoissonDistribution(1)) + + +def test_sympy__stats__drv_types__SkellamDistribution(): + from sympy.stats.drv_types import SkellamDistribution + assert _test_args(SkellamDistribution(1, 1)) + + +def test_sympy__stats__drv_types__YuleSimonDistribution(): + from sympy.stats.drv_types import YuleSimonDistribution + assert _test_args(YuleSimonDistribution(.5)) + + +def test_sympy__stats__drv_types__ZetaDistribution(): + from sympy.stats.drv_types import ZetaDistribution + assert _test_args(ZetaDistribution(1.5)) + + +def test_sympy__stats__joint_rv__JointDistribution(): + from sympy.stats.joint_rv import JointDistribution + assert _test_args(JointDistribution(1, 2, 3, 4)) + + +def test_sympy__stats__joint_rv_types__MultivariateNormalDistribution(): + from sympy.stats.joint_rv_types import MultivariateNormalDistribution + assert _test_args( + MultivariateNormalDistribution([0, 1], [[1, 0],[0, 1]])) + +def test_sympy__stats__joint_rv_types__MultivariateLaplaceDistribution(): + from sympy.stats.joint_rv_types import MultivariateLaplaceDistribution + assert _test_args(MultivariateLaplaceDistribution([0, 1], [[1, 0],[0, 1]])) + + +def test_sympy__stats__joint_rv_types__MultivariateTDistribution(): + from sympy.stats.joint_rv_types import MultivariateTDistribution + assert _test_args(MultivariateTDistribution([0, 1], [[1, 0],[0, 1]], 1)) + + +def test_sympy__stats__joint_rv_types__NormalGammaDistribution(): + from sympy.stats.joint_rv_types import NormalGammaDistribution + assert _test_args(NormalGammaDistribution(1, 2, 3, 4)) + +def test_sympy__stats__joint_rv_types__GeneralizedMultivariateLogGammaDistribution(): + from sympy.stats.joint_rv_types import GeneralizedMultivariateLogGammaDistribution + v, l, mu = (4, [1, 2, 3, 4], [1, 2, 3, 4]) + assert _test_args(GeneralizedMultivariateLogGammaDistribution(S.Half, v, l, mu)) + +def test_sympy__stats__joint_rv_types__MultivariateBetaDistribution(): + from sympy.stats.joint_rv_types import MultivariateBetaDistribution + assert _test_args(MultivariateBetaDistribution([1, 2, 3])) + +def test_sympy__stats__joint_rv_types__MultivariateEwensDistribution(): + from sympy.stats.joint_rv_types import MultivariateEwensDistribution + assert _test_args(MultivariateEwensDistribution(5, 1)) + +def test_sympy__stats__joint_rv_types__MultinomialDistribution(): + from sympy.stats.joint_rv_types import MultinomialDistribution + assert _test_args(MultinomialDistribution(5, [0.5, 0.1, 0.3])) + +def test_sympy__stats__joint_rv_types__NegativeMultinomialDistribution(): + from sympy.stats.joint_rv_types import NegativeMultinomialDistribution + assert _test_args(NegativeMultinomialDistribution(5, [0.5, 0.1, 0.3])) + +def test_sympy__stats__rv__RandomIndexedSymbol(): + from sympy.stats.rv import RandomIndexedSymbol, pspace + from sympy.stats.stochastic_process_types import DiscreteMarkovChain + X = DiscreteMarkovChain("X") + assert _test_args(RandomIndexedSymbol(X[0].symbol, pspace(X[0]))) + +def test_sympy__stats__rv__RandomMatrixSymbol(): + from sympy.stats.rv import RandomMatrixSymbol + from sympy.stats.random_matrix import RandomMatrixPSpace + pspace = RandomMatrixPSpace('P') + assert _test_args(RandomMatrixSymbol('M', 3, 3, pspace)) + +def test_sympy__stats__stochastic_process__StochasticPSpace(): + from sympy.stats.stochastic_process import StochasticPSpace + from sympy.stats.stochastic_process_types import StochasticProcess + from sympy.stats.frv_types import BernoulliDistribution + assert _test_args(StochasticPSpace("Y", StochasticProcess("Y", [1, 2, 3]), BernoulliDistribution(S.Half, 1, 0))) + +def test_sympy__stats__stochastic_process_types__StochasticProcess(): + from sympy.stats.stochastic_process_types import StochasticProcess + assert _test_args(StochasticProcess("Y", [1, 2, 3])) + +def test_sympy__stats__stochastic_process_types__MarkovProcess(): + from sympy.stats.stochastic_process_types import MarkovProcess + assert _test_args(MarkovProcess("Y", [1, 2, 3])) + +def test_sympy__stats__stochastic_process_types__DiscreteTimeStochasticProcess(): + from sympy.stats.stochastic_process_types import DiscreteTimeStochasticProcess + assert _test_args(DiscreteTimeStochasticProcess("Y", [1, 2, 3])) + +def test_sympy__stats__stochastic_process_types__ContinuousTimeStochasticProcess(): + from sympy.stats.stochastic_process_types import ContinuousTimeStochasticProcess + assert _test_args(ContinuousTimeStochasticProcess("Y", [1, 2, 3])) + +def test_sympy__stats__stochastic_process_types__TransitionMatrixOf(): + from sympy.stats.stochastic_process_types import TransitionMatrixOf, DiscreteMarkovChain + from sympy.matrices.expressions.matexpr import MatrixSymbol + DMC = DiscreteMarkovChain("Y") + assert _test_args(TransitionMatrixOf(DMC, MatrixSymbol('T', 3, 3))) + +def test_sympy__stats__stochastic_process_types__GeneratorMatrixOf(): + from sympy.stats.stochastic_process_types import GeneratorMatrixOf, ContinuousMarkovChain + from sympy.matrices.expressions.matexpr import MatrixSymbol + DMC = ContinuousMarkovChain("Y") + assert _test_args(GeneratorMatrixOf(DMC, MatrixSymbol('T', 3, 3))) + +def test_sympy__stats__stochastic_process_types__StochasticStateSpaceOf(): + from sympy.stats.stochastic_process_types import StochasticStateSpaceOf, DiscreteMarkovChain + DMC = DiscreteMarkovChain("Y") + assert _test_args(StochasticStateSpaceOf(DMC, [0, 1, 2])) + +def test_sympy__stats__stochastic_process_types__DiscreteMarkovChain(): + from sympy.stats.stochastic_process_types import DiscreteMarkovChain + from sympy.matrices.expressions.matexpr import MatrixSymbol + assert _test_args(DiscreteMarkovChain("Y", [0, 1, 2], MatrixSymbol('T', 3, 3))) + +def test_sympy__stats__stochastic_process_types__ContinuousMarkovChain(): + from sympy.stats.stochastic_process_types import ContinuousMarkovChain + from sympy.matrices.expressions.matexpr import MatrixSymbol + assert _test_args(ContinuousMarkovChain("Y", [0, 1, 2], MatrixSymbol('T', 3, 3))) + +def test_sympy__stats__stochastic_process_types__BernoulliProcess(): + from sympy.stats.stochastic_process_types import BernoulliProcess + assert _test_args(BernoulliProcess("B", 0.5, 1, 0)) + +def test_sympy__stats__stochastic_process_types__CountingProcess(): + from sympy.stats.stochastic_process_types import CountingProcess + assert _test_args(CountingProcess("C")) + +def test_sympy__stats__stochastic_process_types__PoissonProcess(): + from sympy.stats.stochastic_process_types import PoissonProcess + assert _test_args(PoissonProcess("X", 2)) + +def test_sympy__stats__stochastic_process_types__WienerProcess(): + from sympy.stats.stochastic_process_types import WienerProcess + assert _test_args(WienerProcess("X")) + +def test_sympy__stats__stochastic_process_types__GammaProcess(): + from sympy.stats.stochastic_process_types import GammaProcess + assert _test_args(GammaProcess("X", 1, 2)) + +def test_sympy__stats__random_matrix__RandomMatrixPSpace(): + from sympy.stats.random_matrix import RandomMatrixPSpace + from sympy.stats.random_matrix_models import RandomMatrixEnsembleModel + model = RandomMatrixEnsembleModel('R', 3) + assert _test_args(RandomMatrixPSpace('P', model=model)) + +def test_sympy__stats__random_matrix_models__RandomMatrixEnsembleModel(): + from sympy.stats.random_matrix_models import RandomMatrixEnsembleModel + assert _test_args(RandomMatrixEnsembleModel('R', 3)) + +def test_sympy__stats__random_matrix_models__GaussianEnsembleModel(): + from sympy.stats.random_matrix_models import GaussianEnsembleModel + assert _test_args(GaussianEnsembleModel('G', 3)) + +def test_sympy__stats__random_matrix_models__GaussianUnitaryEnsembleModel(): + from sympy.stats.random_matrix_models import GaussianUnitaryEnsembleModel + assert _test_args(GaussianUnitaryEnsembleModel('U', 3)) + +def test_sympy__stats__random_matrix_models__GaussianOrthogonalEnsembleModel(): + from sympy.stats.random_matrix_models import GaussianOrthogonalEnsembleModel + assert _test_args(GaussianOrthogonalEnsembleModel('U', 3)) + +def test_sympy__stats__random_matrix_models__GaussianSymplecticEnsembleModel(): + from sympy.stats.random_matrix_models import GaussianSymplecticEnsembleModel + assert _test_args(GaussianSymplecticEnsembleModel('U', 3)) + +def test_sympy__stats__random_matrix_models__CircularEnsembleModel(): + from sympy.stats.random_matrix_models import CircularEnsembleModel + assert _test_args(CircularEnsembleModel('C', 3)) + +def test_sympy__stats__random_matrix_models__CircularUnitaryEnsembleModel(): + from sympy.stats.random_matrix_models import CircularUnitaryEnsembleModel + assert _test_args(CircularUnitaryEnsembleModel('U', 3)) + +def test_sympy__stats__random_matrix_models__CircularOrthogonalEnsembleModel(): + from sympy.stats.random_matrix_models import CircularOrthogonalEnsembleModel + assert _test_args(CircularOrthogonalEnsembleModel('O', 3)) + +def test_sympy__stats__random_matrix_models__CircularSymplecticEnsembleModel(): + from sympy.stats.random_matrix_models import CircularSymplecticEnsembleModel + assert _test_args(CircularSymplecticEnsembleModel('S', 3)) + +def test_sympy__stats__symbolic_multivariate_probability__ExpectationMatrix(): + from sympy.stats import ExpectationMatrix + from sympy.stats.rv import RandomMatrixSymbol + assert _test_args(ExpectationMatrix(RandomMatrixSymbol('R', 2, 1))) + +def test_sympy__stats__symbolic_multivariate_probability__VarianceMatrix(): + from sympy.stats import VarianceMatrix + from sympy.stats.rv import RandomMatrixSymbol + assert _test_args(VarianceMatrix(RandomMatrixSymbol('R', 3, 1))) + +def test_sympy__stats__symbolic_multivariate_probability__CrossCovarianceMatrix(): + from sympy.stats import CrossCovarianceMatrix + from sympy.stats.rv import RandomMatrixSymbol + assert _test_args(CrossCovarianceMatrix(RandomMatrixSymbol('R', 3, 1), + RandomMatrixSymbol('X', 3, 1))) + +def test_sympy__stats__matrix_distributions__MatrixPSpace(): + from sympy.stats.matrix_distributions import MatrixDistribution, MatrixPSpace + from sympy.matrices.dense import Matrix + M = MatrixDistribution(1, Matrix([[1, 0], [0, 1]])) + assert _test_args(MatrixPSpace('M', M, 2, 2)) + +def test_sympy__stats__matrix_distributions__MatrixDistribution(): + from sympy.stats.matrix_distributions import MatrixDistribution + from sympy.matrices.dense import Matrix + assert _test_args(MatrixDistribution(1, Matrix([[1, 0], [0, 1]]))) + +def test_sympy__stats__matrix_distributions__MatrixGammaDistribution(): + from sympy.stats.matrix_distributions import MatrixGammaDistribution + from sympy.matrices.dense import Matrix + assert _test_args(MatrixGammaDistribution(3, 4, Matrix([[1, 0], [0, 1]]))) + +def test_sympy__stats__matrix_distributions__WishartDistribution(): + from sympy.stats.matrix_distributions import WishartDistribution + from sympy.matrices.dense import Matrix + assert _test_args(WishartDistribution(3, Matrix([[1, 0], [0, 1]]))) + +def test_sympy__stats__matrix_distributions__MatrixNormalDistribution(): + from sympy.stats.matrix_distributions import MatrixNormalDistribution + from sympy.matrices.expressions.matexpr import MatrixSymbol + L = MatrixSymbol('L', 1, 2) + S1 = MatrixSymbol('S1', 1, 1) + S2 = MatrixSymbol('S2', 2, 2) + assert _test_args(MatrixNormalDistribution(L, S1, S2)) + +def test_sympy__stats__matrix_distributions__MatrixStudentTDistribution(): + from sympy.stats.matrix_distributions import MatrixStudentTDistribution + from sympy.matrices.expressions.matexpr import MatrixSymbol + v = symbols('v', positive=True) + Omega = MatrixSymbol('Omega', 3, 3) + Sigma = MatrixSymbol('Sigma', 1, 1) + Location = MatrixSymbol('Location', 1, 3) + assert _test_args(MatrixStudentTDistribution(v, Location, Omega, Sigma)) + +def test_sympy__utilities__matchpy_connector__WildDot(): + from sympy.utilities.matchpy_connector import WildDot + assert _test_args(WildDot("w_")) + + +def test_sympy__utilities__matchpy_connector__WildPlus(): + from sympy.utilities.matchpy_connector import WildPlus + assert _test_args(WildPlus("w__")) + + +def test_sympy__utilities__matchpy_connector__WildStar(): + from sympy.utilities.matchpy_connector import WildStar + assert _test_args(WildStar("w___")) + + +def test_sympy__core__symbol__Str(): + from sympy.core.symbol import Str + assert _test_args(Str('t')) + +def test_sympy__core__symbol__Dummy(): + from sympy.core.symbol import Dummy + assert _test_args(Dummy('t')) + + +def test_sympy__core__symbol__Symbol(): + from sympy.core.symbol import Symbol + assert _test_args(Symbol('t')) + + +def test_sympy__core__symbol__Wild(): + from sympy.core.symbol import Wild + assert _test_args(Wild('x', exclude=[x])) + + +@SKIP("abstract class") +def test_sympy__functions__combinatorial__factorials__CombinatorialFunction(): + pass + + +def test_sympy__functions__combinatorial__factorials__FallingFactorial(): + from sympy.functions.combinatorial.factorials import FallingFactorial + assert _test_args(FallingFactorial(2, x)) + + +def test_sympy__functions__combinatorial__factorials__MultiFactorial(): + from sympy.functions.combinatorial.factorials import MultiFactorial + assert _test_args(MultiFactorial(x)) + + +def test_sympy__functions__combinatorial__factorials__RisingFactorial(): + from sympy.functions.combinatorial.factorials import RisingFactorial + assert _test_args(RisingFactorial(2, x)) + + +def test_sympy__functions__combinatorial__factorials__binomial(): + from sympy.functions.combinatorial.factorials import binomial + assert _test_args(binomial(2, x)) + + +def test_sympy__functions__combinatorial__factorials__subfactorial(): + from sympy.functions.combinatorial.factorials import subfactorial + assert _test_args(subfactorial(x)) + + +def test_sympy__functions__combinatorial__factorials__factorial(): + from sympy.functions.combinatorial.factorials import factorial + assert _test_args(factorial(x)) + + +def test_sympy__functions__combinatorial__factorials__factorial2(): + from sympy.functions.combinatorial.factorials import factorial2 + assert _test_args(factorial2(x)) + + +def test_sympy__functions__combinatorial__numbers__bell(): + from sympy.functions.combinatorial.numbers import bell + assert _test_args(bell(x, y)) + + +def test_sympy__functions__combinatorial__numbers__bernoulli(): + from sympy.functions.combinatorial.numbers import bernoulli + assert _test_args(bernoulli(x)) + + +def test_sympy__functions__combinatorial__numbers__catalan(): + from sympy.functions.combinatorial.numbers import catalan + assert _test_args(catalan(x)) + + +def test_sympy__functions__combinatorial__numbers__genocchi(): + from sympy.functions.combinatorial.numbers import genocchi + assert _test_args(genocchi(x)) + + +def test_sympy__functions__combinatorial__numbers__euler(): + from sympy.functions.combinatorial.numbers import euler + assert _test_args(euler(x)) + + +def test_sympy__functions__combinatorial__numbers__andre(): + from sympy.functions.combinatorial.numbers import andre + assert _test_args(andre(x)) + + +def test_sympy__functions__combinatorial__numbers__carmichael(): + from sympy.functions.combinatorial.numbers import carmichael + assert _test_args(carmichael(x)) + + +def test_sympy__functions__combinatorial__numbers__motzkin(): + from sympy.functions.combinatorial.numbers import motzkin + assert _test_args(motzkin(5)) + + +def test_sympy__functions__combinatorial__numbers__fibonacci(): + from sympy.functions.combinatorial.numbers import fibonacci + assert _test_args(fibonacci(x)) + + +def test_sympy__functions__combinatorial__numbers__tribonacci(): + from sympy.functions.combinatorial.numbers import tribonacci + assert _test_args(tribonacci(x)) + + +def test_sympy__functions__combinatorial__numbers__harmonic(): + from sympy.functions.combinatorial.numbers import harmonic + assert _test_args(harmonic(x, 2)) + + +def test_sympy__functions__combinatorial__numbers__lucas(): + from sympy.functions.combinatorial.numbers import lucas + assert _test_args(lucas(x)) + + +def test_sympy__functions__combinatorial__numbers__partition(): + from sympy.core.symbol import Symbol + from sympy.functions.combinatorial.numbers import partition + assert _test_args(partition(Symbol('a', integer=True))) + + +def test_sympy__functions__elementary__complexes__Abs(): + from sympy.functions.elementary.complexes import Abs + assert _test_args(Abs(x)) + + +def test_sympy__functions__elementary__complexes__adjoint(): + from sympy.functions.elementary.complexes import adjoint + assert _test_args(adjoint(x)) + + +def test_sympy__functions__elementary__complexes__arg(): + from sympy.functions.elementary.complexes import arg + assert _test_args(arg(x)) + + +def test_sympy__functions__elementary__complexes__conjugate(): + from sympy.functions.elementary.complexes import conjugate + assert _test_args(conjugate(x)) + + +def test_sympy__functions__elementary__complexes__im(): + from sympy.functions.elementary.complexes import im + assert _test_args(im(x)) + + +def test_sympy__functions__elementary__complexes__re(): + from sympy.functions.elementary.complexes import re + assert _test_args(re(x)) + + +def test_sympy__functions__elementary__complexes__sign(): + from sympy.functions.elementary.complexes import sign + assert _test_args(sign(x)) + + +def test_sympy__functions__elementary__complexes__polar_lift(): + from sympy.functions.elementary.complexes import polar_lift + assert _test_args(polar_lift(x)) + + +def test_sympy__functions__elementary__complexes__periodic_argument(): + from sympy.functions.elementary.complexes import periodic_argument + assert _test_args(periodic_argument(x, y)) + + +def test_sympy__functions__elementary__complexes__principal_branch(): + from sympy.functions.elementary.complexes import principal_branch + assert _test_args(principal_branch(x, y)) + + +def test_sympy__functions__elementary__complexes__transpose(): + from sympy.functions.elementary.complexes import transpose + assert _test_args(transpose(x)) + + +def test_sympy__functions__elementary__exponential__LambertW(): + from sympy.functions.elementary.exponential import LambertW + assert _test_args(LambertW(2)) + + +@SKIP("abstract class") +def test_sympy__functions__elementary__exponential__ExpBase(): + pass + + +def test_sympy__functions__elementary__exponential__exp(): + from sympy.functions.elementary.exponential import exp + assert _test_args(exp(2)) + + +def test_sympy__functions__elementary__exponential__exp_polar(): + from sympy.functions.elementary.exponential import exp_polar + assert _test_args(exp_polar(2)) + + +def test_sympy__functions__elementary__exponential__log(): + from sympy.functions.elementary.exponential import log + assert _test_args(log(2)) + + +@SKIP("abstract class") +def test_sympy__functions__elementary__hyperbolic__HyperbolicFunction(): + pass + + +@SKIP("abstract class") +def test_sympy__functions__elementary__hyperbolic__ReciprocalHyperbolicFunction(): + pass + + +@SKIP("abstract class") +def test_sympy__functions__elementary__hyperbolic__InverseHyperbolicFunction(): + pass + + +def test_sympy__functions__elementary__hyperbolic__acosh(): + from sympy.functions.elementary.hyperbolic import acosh + assert _test_args(acosh(2)) + + +def test_sympy__functions__elementary__hyperbolic__acoth(): + from sympy.functions.elementary.hyperbolic import acoth + assert _test_args(acoth(2)) + + +def test_sympy__functions__elementary__hyperbolic__asinh(): + from sympy.functions.elementary.hyperbolic import asinh + assert _test_args(asinh(2)) + + +def test_sympy__functions__elementary__hyperbolic__atanh(): + from sympy.functions.elementary.hyperbolic import atanh + assert _test_args(atanh(2)) + + +def test_sympy__functions__elementary__hyperbolic__asech(): + from sympy.functions.elementary.hyperbolic import asech + assert _test_args(asech(x)) + +def test_sympy__functions__elementary__hyperbolic__acsch(): + from sympy.functions.elementary.hyperbolic import acsch + assert _test_args(acsch(x)) + +def test_sympy__functions__elementary__hyperbolic__cosh(): + from sympy.functions.elementary.hyperbolic import cosh + assert _test_args(cosh(2)) + + +def test_sympy__functions__elementary__hyperbolic__coth(): + from sympy.functions.elementary.hyperbolic import coth + assert _test_args(coth(2)) + + +def test_sympy__functions__elementary__hyperbolic__csch(): + from sympy.functions.elementary.hyperbolic import csch + assert _test_args(csch(2)) + + +def test_sympy__functions__elementary__hyperbolic__sech(): + from sympy.functions.elementary.hyperbolic import sech + assert _test_args(sech(2)) + + +def test_sympy__functions__elementary__hyperbolic__sinh(): + from sympy.functions.elementary.hyperbolic import sinh + assert _test_args(sinh(2)) + + +def test_sympy__functions__elementary__hyperbolic__tanh(): + from sympy.functions.elementary.hyperbolic import tanh + assert _test_args(tanh(2)) + + +@SKIP("abstract class") +def test_sympy__functions__elementary__integers__RoundFunction(): + pass + + +def test_sympy__functions__elementary__integers__ceiling(): + from sympy.functions.elementary.integers import ceiling + assert _test_args(ceiling(x)) + + +def test_sympy__functions__elementary__integers__floor(): + from sympy.functions.elementary.integers import floor + assert _test_args(floor(x)) + + +def test_sympy__functions__elementary__integers__frac(): + from sympy.functions.elementary.integers import frac + assert _test_args(frac(x)) + + +def test_sympy__functions__elementary__miscellaneous__IdentityFunction(): + from sympy.functions.elementary.miscellaneous import IdentityFunction + assert _test_args(IdentityFunction()) + + +def test_sympy__functions__elementary__miscellaneous__Max(): + from sympy.functions.elementary.miscellaneous import Max + assert _test_args(Max(x, 2)) + + +def test_sympy__functions__elementary__miscellaneous__Min(): + from sympy.functions.elementary.miscellaneous import Min + assert _test_args(Min(x, 2)) + + +@SKIP("abstract class") +def test_sympy__functions__elementary__miscellaneous__MinMaxBase(): + pass + + +def test_sympy__functions__elementary__miscellaneous__Rem(): + from sympy.functions.elementary.miscellaneous import Rem + assert _test_args(Rem(x, 2)) + + +def test_sympy__functions__elementary__piecewise__ExprCondPair(): + from sympy.functions.elementary.piecewise import ExprCondPair + assert _test_args(ExprCondPair(1, True)) + + +def test_sympy__functions__elementary__piecewise__Piecewise(): + from sympy.functions.elementary.piecewise import Piecewise + assert _test_args(Piecewise((1, x >= 0), (0, True))) + + +@SKIP("abstract class") +def test_sympy__functions__elementary__trigonometric__TrigonometricFunction(): + pass + +@SKIP("abstract class") +def test_sympy__functions__elementary__trigonometric__ReciprocalTrigonometricFunction(): + pass + +@SKIP("abstract class") +def test_sympy__functions__elementary__trigonometric__InverseTrigonometricFunction(): + pass + +def test_sympy__functions__elementary__trigonometric__acos(): + from sympy.functions.elementary.trigonometric import acos + assert _test_args(acos(2)) + + +def test_sympy__functions__elementary__trigonometric__acot(): + from sympy.functions.elementary.trigonometric import acot + assert _test_args(acot(2)) + + +def test_sympy__functions__elementary__trigonometric__asin(): + from sympy.functions.elementary.trigonometric import asin + assert _test_args(asin(2)) + + +def test_sympy__functions__elementary__trigonometric__asec(): + from sympy.functions.elementary.trigonometric import asec + assert _test_args(asec(x)) + + +def test_sympy__functions__elementary__trigonometric__acsc(): + from sympy.functions.elementary.trigonometric import acsc + assert _test_args(acsc(x)) + + +def test_sympy__functions__elementary__trigonometric__atan(): + from sympy.functions.elementary.trigonometric import atan + assert _test_args(atan(2)) + + +def test_sympy__functions__elementary__trigonometric__atan2(): + from sympy.functions.elementary.trigonometric import atan2 + assert _test_args(atan2(2, 3)) + + +def test_sympy__functions__elementary__trigonometric__cos(): + from sympy.functions.elementary.trigonometric import cos + assert _test_args(cos(2)) + + +def test_sympy__functions__elementary__trigonometric__csc(): + from sympy.functions.elementary.trigonometric import csc + assert _test_args(csc(2)) + + +def test_sympy__functions__elementary__trigonometric__cot(): + from sympy.functions.elementary.trigonometric import cot + assert _test_args(cot(2)) + + +def test_sympy__functions__elementary__trigonometric__sin(): + assert _test_args(sin(2)) + + +def test_sympy__functions__elementary__trigonometric__sinc(): + from sympy.functions.elementary.trigonometric import sinc + assert _test_args(sinc(2)) + + +def test_sympy__functions__elementary__trigonometric__sec(): + from sympy.functions.elementary.trigonometric import sec + assert _test_args(sec(2)) + + +def test_sympy__functions__elementary__trigonometric__tan(): + from sympy.functions.elementary.trigonometric import tan + assert _test_args(tan(2)) + + +@SKIP("abstract class") +def test_sympy__functions__special__bessel__BesselBase(): + pass + + +@SKIP("abstract class") +def test_sympy__functions__special__bessel__SphericalBesselBase(): + pass + + +@SKIP("abstract class") +def test_sympy__functions__special__bessel__SphericalHankelBase(): + pass + + +def test_sympy__functions__special__bessel__besseli(): + from sympy.functions.special.bessel import besseli + assert _test_args(besseli(x, 1)) + + +def test_sympy__functions__special__bessel__besselj(): + from sympy.functions.special.bessel import besselj + assert _test_args(besselj(x, 1)) + + +def test_sympy__functions__special__bessel__besselk(): + from sympy.functions.special.bessel import besselk + assert _test_args(besselk(x, 1)) + + +def test_sympy__functions__special__bessel__bessely(): + from sympy.functions.special.bessel import bessely + assert _test_args(bessely(x, 1)) + + +def test_sympy__functions__special__bessel__hankel1(): + from sympy.functions.special.bessel import hankel1 + assert _test_args(hankel1(x, 1)) + + +def test_sympy__functions__special__bessel__hankel2(): + from sympy.functions.special.bessel import hankel2 + assert _test_args(hankel2(x, 1)) + + +def test_sympy__functions__special__bessel__jn(): + from sympy.functions.special.bessel import jn + assert _test_args(jn(0, x)) + + +def test_sympy__functions__special__bessel__yn(): + from sympy.functions.special.bessel import yn + assert _test_args(yn(0, x)) + + +def test_sympy__functions__special__bessel__hn1(): + from sympy.functions.special.bessel import hn1 + assert _test_args(hn1(0, x)) + + +def test_sympy__functions__special__bessel__hn2(): + from sympy.functions.special.bessel import hn2 + assert _test_args(hn2(0, x)) + + +def test_sympy__functions__special__bessel__AiryBase(): + pass + + +def test_sympy__functions__special__bessel__airyai(): + from sympy.functions.special.bessel import airyai + assert _test_args(airyai(2)) + + +def test_sympy__functions__special__bessel__airybi(): + from sympy.functions.special.bessel import airybi + assert _test_args(airybi(2)) + + +def test_sympy__functions__special__bessel__airyaiprime(): + from sympy.functions.special.bessel import airyaiprime + assert _test_args(airyaiprime(2)) + + +def test_sympy__functions__special__bessel__airybiprime(): + from sympy.functions.special.bessel import airybiprime + assert _test_args(airybiprime(2)) + + +def test_sympy__functions__special__bessel__marcumq(): + from sympy.functions.special.bessel import marcumq + assert _test_args(marcumq(x, y, z)) + + +def test_sympy__functions__special__elliptic_integrals__elliptic_k(): + from sympy.functions.special.elliptic_integrals import elliptic_k as K + assert _test_args(K(x)) + + +def test_sympy__functions__special__elliptic_integrals__elliptic_f(): + from sympy.functions.special.elliptic_integrals import elliptic_f as F + assert _test_args(F(x, y)) + + +def test_sympy__functions__special__elliptic_integrals__elliptic_e(): + from sympy.functions.special.elliptic_integrals import elliptic_e as E + assert _test_args(E(x)) + assert _test_args(E(x, y)) + + +def test_sympy__functions__special__elliptic_integrals__elliptic_pi(): + from sympy.functions.special.elliptic_integrals import elliptic_pi as P + assert _test_args(P(x, y)) + assert _test_args(P(x, y, z)) + + +def test_sympy__functions__special__delta_functions__DiracDelta(): + from sympy.functions.special.delta_functions import DiracDelta + assert _test_args(DiracDelta(x, 1)) + + +def test_sympy__functions__special__singularity_functions__SingularityFunction(): + from sympy.functions.special.singularity_functions import SingularityFunction + assert _test_args(SingularityFunction(x, y, z)) + + +def test_sympy__functions__special__delta_functions__Heaviside(): + from sympy.functions.special.delta_functions import Heaviside + assert _test_args(Heaviside(x)) + + +def test_sympy__functions__special__error_functions__erf(): + from sympy.functions.special.error_functions import erf + assert _test_args(erf(2)) + +def test_sympy__functions__special__error_functions__erfc(): + from sympy.functions.special.error_functions import erfc + assert _test_args(erfc(2)) + +def test_sympy__functions__special__error_functions__erfi(): + from sympy.functions.special.error_functions import erfi + assert _test_args(erfi(2)) + +def test_sympy__functions__special__error_functions__erf2(): + from sympy.functions.special.error_functions import erf2 + assert _test_args(erf2(2, 3)) + +def test_sympy__functions__special__error_functions__erfinv(): + from sympy.functions.special.error_functions import erfinv + assert _test_args(erfinv(2)) + +def test_sympy__functions__special__error_functions__erfcinv(): + from sympy.functions.special.error_functions import erfcinv + assert _test_args(erfcinv(2)) + +def test_sympy__functions__special__error_functions__erf2inv(): + from sympy.functions.special.error_functions import erf2inv + assert _test_args(erf2inv(2, 3)) + +@SKIP("abstract class") +def test_sympy__functions__special__error_functions__FresnelIntegral(): + pass + + +def test_sympy__functions__special__error_functions__fresnels(): + from sympy.functions.special.error_functions import fresnels + assert _test_args(fresnels(2)) + + +def test_sympy__functions__special__error_functions__fresnelc(): + from sympy.functions.special.error_functions import fresnelc + assert _test_args(fresnelc(2)) + + +def test_sympy__functions__special__error_functions__erfs(): + from sympy.functions.special.error_functions import _erfs + assert _test_args(_erfs(2)) + + +def test_sympy__functions__special__error_functions__Ei(): + from sympy.functions.special.error_functions import Ei + assert _test_args(Ei(2)) + + +def test_sympy__functions__special__error_functions__li(): + from sympy.functions.special.error_functions import li + assert _test_args(li(2)) + + +def test_sympy__functions__special__error_functions__Li(): + from sympy.functions.special.error_functions import Li + assert _test_args(Li(5)) + + +@SKIP("abstract class") +def test_sympy__functions__special__error_functions__TrigonometricIntegral(): + pass + + +def test_sympy__functions__special__error_functions__Si(): + from sympy.functions.special.error_functions import Si + assert _test_args(Si(2)) + + +def test_sympy__functions__special__error_functions__Ci(): + from sympy.functions.special.error_functions import Ci + assert _test_args(Ci(2)) + + +def test_sympy__functions__special__error_functions__Shi(): + from sympy.functions.special.error_functions import Shi + assert _test_args(Shi(2)) + + +def test_sympy__functions__special__error_functions__Chi(): + from sympy.functions.special.error_functions import Chi + assert _test_args(Chi(2)) + + +def test_sympy__functions__special__error_functions__expint(): + from sympy.functions.special.error_functions import expint + assert _test_args(expint(y, x)) + + +def test_sympy__functions__special__gamma_functions__gamma(): + from sympy.functions.special.gamma_functions import gamma + assert _test_args(gamma(x)) + + +def test_sympy__functions__special__gamma_functions__loggamma(): + from sympy.functions.special.gamma_functions import loggamma + assert _test_args(loggamma(x)) + + +def test_sympy__functions__special__gamma_functions__lowergamma(): + from sympy.functions.special.gamma_functions import lowergamma + assert _test_args(lowergamma(x, 2)) + + +def test_sympy__functions__special__gamma_functions__polygamma(): + from sympy.functions.special.gamma_functions import polygamma + assert _test_args(polygamma(x, 2)) + +def test_sympy__functions__special__gamma_functions__digamma(): + from sympy.functions.special.gamma_functions import digamma + assert _test_args(digamma(x)) + +def test_sympy__functions__special__gamma_functions__trigamma(): + from sympy.functions.special.gamma_functions import trigamma + assert _test_args(trigamma(x)) + +def test_sympy__functions__special__gamma_functions__uppergamma(): + from sympy.functions.special.gamma_functions import uppergamma + assert _test_args(uppergamma(x, 2)) + +def test_sympy__functions__special__gamma_functions__multigamma(): + from sympy.functions.special.gamma_functions import multigamma + assert _test_args(multigamma(x, 1)) + + +def test_sympy__functions__special__beta_functions__beta(): + from sympy.functions.special.beta_functions import beta + assert _test_args(beta(x)) + assert _test_args(beta(x, x)) + +def test_sympy__functions__special__beta_functions__betainc(): + from sympy.functions.special.beta_functions import betainc + assert _test_args(betainc(a, b, x, y)) + +def test_sympy__functions__special__beta_functions__betainc_regularized(): + from sympy.functions.special.beta_functions import betainc_regularized + assert _test_args(betainc_regularized(a, b, x, y)) + + +def test_sympy__functions__special__mathieu_functions__MathieuBase(): + pass + + +def test_sympy__functions__special__mathieu_functions__mathieus(): + from sympy.functions.special.mathieu_functions import mathieus + assert _test_args(mathieus(1, 1, 1)) + + +def test_sympy__functions__special__mathieu_functions__mathieuc(): + from sympy.functions.special.mathieu_functions import mathieuc + assert _test_args(mathieuc(1, 1, 1)) + + +def test_sympy__functions__special__mathieu_functions__mathieusprime(): + from sympy.functions.special.mathieu_functions import mathieusprime + assert _test_args(mathieusprime(1, 1, 1)) + + +def test_sympy__functions__special__mathieu_functions__mathieucprime(): + from sympy.functions.special.mathieu_functions import mathieucprime + assert _test_args(mathieucprime(1, 1, 1)) + + +@SKIP("abstract class") +def test_sympy__functions__special__hyper__TupleParametersBase(): + pass + + +@SKIP("abstract class") +def test_sympy__functions__special__hyper__TupleArg(): + pass + + +def test_sympy__functions__special__hyper__hyper(): + from sympy.functions.special.hyper import hyper + assert _test_args(hyper([1, 2, 3], [4, 5], x)) + + +def test_sympy__functions__special__hyper__meijerg(): + from sympy.functions.special.hyper import meijerg + assert _test_args(meijerg([1, 2, 3], [4, 5], [6], [], x)) + + +@SKIP("abstract class") +def test_sympy__functions__special__hyper__HyperRep(): + pass + + +def test_sympy__functions__special__hyper__HyperRep_power1(): + from sympy.functions.special.hyper import HyperRep_power1 + assert _test_args(HyperRep_power1(x, y)) + + +def test_sympy__functions__special__hyper__HyperRep_power2(): + from sympy.functions.special.hyper import HyperRep_power2 + assert _test_args(HyperRep_power2(x, y)) + + +def test_sympy__functions__special__hyper__HyperRep_log1(): + from sympy.functions.special.hyper import HyperRep_log1 + assert _test_args(HyperRep_log1(x)) + + +def test_sympy__functions__special__hyper__HyperRep_atanh(): + from sympy.functions.special.hyper import HyperRep_atanh + assert _test_args(HyperRep_atanh(x)) + + +def test_sympy__functions__special__hyper__HyperRep_asin1(): + from sympy.functions.special.hyper import HyperRep_asin1 + assert _test_args(HyperRep_asin1(x)) + + +def test_sympy__functions__special__hyper__HyperRep_asin2(): + from sympy.functions.special.hyper import HyperRep_asin2 + assert _test_args(HyperRep_asin2(x)) + + +def test_sympy__functions__special__hyper__HyperRep_sqrts1(): + from sympy.functions.special.hyper import HyperRep_sqrts1 + assert _test_args(HyperRep_sqrts1(x, y)) + + +def test_sympy__functions__special__hyper__HyperRep_sqrts2(): + from sympy.functions.special.hyper import HyperRep_sqrts2 + assert _test_args(HyperRep_sqrts2(x, y)) + + +def test_sympy__functions__special__hyper__HyperRep_log2(): + from sympy.functions.special.hyper import HyperRep_log2 + assert _test_args(HyperRep_log2(x)) + + +def test_sympy__functions__special__hyper__HyperRep_cosasin(): + from sympy.functions.special.hyper import HyperRep_cosasin + assert _test_args(HyperRep_cosasin(x, y)) + + +def test_sympy__functions__special__hyper__HyperRep_sinasin(): + from sympy.functions.special.hyper import HyperRep_sinasin + assert _test_args(HyperRep_sinasin(x, y)) + +def test_sympy__functions__special__hyper__appellf1(): + from sympy.functions.special.hyper import appellf1 + a, b1, b2, c, x, y = symbols('a b1 b2 c x y') + assert _test_args(appellf1(a, b1, b2, c, x, y)) + +@SKIP("abstract class") +def test_sympy__functions__special__polynomials__OrthogonalPolynomial(): + pass + + +def test_sympy__functions__special__polynomials__jacobi(): + from sympy.functions.special.polynomials import jacobi + assert _test_args(jacobi(x, y, 2, 2)) + + +def test_sympy__functions__special__polynomials__gegenbauer(): + from sympy.functions.special.polynomials import gegenbauer + assert _test_args(gegenbauer(x, 2, 2)) + + +def test_sympy__functions__special__polynomials__chebyshevt(): + from sympy.functions.special.polynomials import chebyshevt + assert _test_args(chebyshevt(x, 2)) + + +def test_sympy__functions__special__polynomials__chebyshevt_root(): + from sympy.functions.special.polynomials import chebyshevt_root + assert _test_args(chebyshevt_root(3, 2)) + + +def test_sympy__functions__special__polynomials__chebyshevu(): + from sympy.functions.special.polynomials import chebyshevu + assert _test_args(chebyshevu(x, 2)) + + +def test_sympy__functions__special__polynomials__chebyshevu_root(): + from sympy.functions.special.polynomials import chebyshevu_root + assert _test_args(chebyshevu_root(3, 2)) + + +def test_sympy__functions__special__polynomials__hermite(): + from sympy.functions.special.polynomials import hermite + assert _test_args(hermite(x, 2)) + + +def test_sympy__functions__special__polynomials__hermite_prob(): + from sympy.functions.special.polynomials import hermite_prob + assert _test_args(hermite_prob(x, 2)) + + +def test_sympy__functions__special__polynomials__legendre(): + from sympy.functions.special.polynomials import legendre + assert _test_args(legendre(x, 2)) + + +def test_sympy__functions__special__polynomials__assoc_legendre(): + from sympy.functions.special.polynomials import assoc_legendre + assert _test_args(assoc_legendre(x, 0, y)) + + +def test_sympy__functions__special__polynomials__laguerre(): + from sympy.functions.special.polynomials import laguerre + assert _test_args(laguerre(x, 2)) + + +def test_sympy__functions__special__polynomials__assoc_laguerre(): + from sympy.functions.special.polynomials import assoc_laguerre + assert _test_args(assoc_laguerre(x, 0, y)) + + +def test_sympy__functions__special__spherical_harmonics__Ynm(): + from sympy.functions.special.spherical_harmonics import Ynm + assert _test_args(Ynm(1, 1, x, y)) + + +def test_sympy__functions__special__spherical_harmonics__Znm(): + from sympy.functions.special.spherical_harmonics import Znm + assert _test_args(Znm(x, y, 1, 1)) + + +def test_sympy__functions__special__tensor_functions__LeviCivita(): + from sympy.functions.special.tensor_functions import LeviCivita + assert _test_args(LeviCivita(x, y, 2)) + + +def test_sympy__functions__special__tensor_functions__KroneckerDelta(): + from sympy.functions.special.tensor_functions import KroneckerDelta + assert _test_args(KroneckerDelta(x, y)) + + +def test_sympy__functions__special__zeta_functions__dirichlet_eta(): + from sympy.functions.special.zeta_functions import dirichlet_eta + assert _test_args(dirichlet_eta(x)) + + +def test_sympy__functions__special__zeta_functions__riemann_xi(): + from sympy.functions.special.zeta_functions import riemann_xi + assert _test_args(riemann_xi(x)) + + +def test_sympy__functions__special__zeta_functions__zeta(): + from sympy.functions.special.zeta_functions import zeta + assert _test_args(zeta(101)) + + +def test_sympy__functions__special__zeta_functions__lerchphi(): + from sympy.functions.special.zeta_functions import lerchphi + assert _test_args(lerchphi(x, y, z)) + + +def test_sympy__functions__special__zeta_functions__polylog(): + from sympy.functions.special.zeta_functions import polylog + assert _test_args(polylog(x, y)) + + +def test_sympy__functions__special__zeta_functions__stieltjes(): + from sympy.functions.special.zeta_functions import stieltjes + assert _test_args(stieltjes(x, y)) + + +def test_sympy__integrals__integrals__Integral(): + from sympy.integrals.integrals import Integral + assert _test_args(Integral(2, (x, 0, 1))) + + +def test_sympy__integrals__risch__NonElementaryIntegral(): + from sympy.integrals.risch import NonElementaryIntegral + assert _test_args(NonElementaryIntegral(exp(-x**2), x)) + + +@SKIP("abstract class") +def test_sympy__integrals__transforms__IntegralTransform(): + pass + + +def test_sympy__integrals__transforms__MellinTransform(): + from sympy.integrals.transforms import MellinTransform + assert _test_args(MellinTransform(2, x, y)) + + +def test_sympy__integrals__transforms__InverseMellinTransform(): + from sympy.integrals.transforms import InverseMellinTransform + assert _test_args(InverseMellinTransform(2, x, y, 0, 1)) + + +def test_sympy__integrals__laplace__LaplaceTransform(): + from sympy.integrals.laplace import LaplaceTransform + assert _test_args(LaplaceTransform(2, x, y)) + + +def test_sympy__integrals__laplace__InverseLaplaceTransform(): + from sympy.integrals.laplace import InverseLaplaceTransform + assert _test_args(InverseLaplaceTransform(2, x, y, 0)) + + +@SKIP("abstract class") +def test_sympy__integrals__transforms__FourierTypeTransform(): + pass + + +def test_sympy__integrals__transforms__InverseFourierTransform(): + from sympy.integrals.transforms import InverseFourierTransform + assert _test_args(InverseFourierTransform(2, x, y)) + + +def test_sympy__integrals__transforms__FourierTransform(): + from sympy.integrals.transforms import FourierTransform + assert _test_args(FourierTransform(2, x, y)) + + +@SKIP("abstract class") +def test_sympy__integrals__transforms__SineCosineTypeTransform(): + pass + + +def test_sympy__integrals__transforms__InverseSineTransform(): + from sympy.integrals.transforms import InverseSineTransform + assert _test_args(InverseSineTransform(2, x, y)) + + +def test_sympy__integrals__transforms__SineTransform(): + from sympy.integrals.transforms import SineTransform + assert _test_args(SineTransform(2, x, y)) + + +def test_sympy__integrals__transforms__InverseCosineTransform(): + from sympy.integrals.transforms import InverseCosineTransform + assert _test_args(InverseCosineTransform(2, x, y)) + + +def test_sympy__integrals__transforms__CosineTransform(): + from sympy.integrals.transforms import CosineTransform + assert _test_args(CosineTransform(2, x, y)) + + +@SKIP("abstract class") +def test_sympy__integrals__transforms__HankelTypeTransform(): + pass + + +def test_sympy__integrals__transforms__InverseHankelTransform(): + from sympy.integrals.transforms import InverseHankelTransform + assert _test_args(InverseHankelTransform(2, x, y, 0)) + + +def test_sympy__integrals__transforms__HankelTransform(): + from sympy.integrals.transforms import HankelTransform + assert _test_args(HankelTransform(2, x, y, 0)) + + +def test_sympy__liealgebras__cartan_type__Standard_Cartan(): + from sympy.liealgebras.cartan_type import Standard_Cartan + assert _test_args(Standard_Cartan("A", 2)) + +def test_sympy__liealgebras__weyl_group__WeylGroup(): + from sympy.liealgebras.weyl_group import WeylGroup + assert _test_args(WeylGroup("B4")) + +def test_sympy__liealgebras__root_system__RootSystem(): + from sympy.liealgebras.root_system import RootSystem + assert _test_args(RootSystem("A2")) + +def test_sympy__liealgebras__type_a__TypeA(): + from sympy.liealgebras.type_a import TypeA + assert _test_args(TypeA(2)) + +def test_sympy__liealgebras__type_b__TypeB(): + from sympy.liealgebras.type_b import TypeB + assert _test_args(TypeB(4)) + +def test_sympy__liealgebras__type_c__TypeC(): + from sympy.liealgebras.type_c import TypeC + assert _test_args(TypeC(4)) + +def test_sympy__liealgebras__type_d__TypeD(): + from sympy.liealgebras.type_d import TypeD + assert _test_args(TypeD(4)) + +def test_sympy__liealgebras__type_e__TypeE(): + from sympy.liealgebras.type_e import TypeE + assert _test_args(TypeE(6)) + +def test_sympy__liealgebras__type_f__TypeF(): + from sympy.liealgebras.type_f import TypeF + assert _test_args(TypeF(4)) + +def test_sympy__liealgebras__type_g__TypeG(): + from sympy.liealgebras.type_g import TypeG + assert _test_args(TypeG(2)) + + +def test_sympy__logic__boolalg__And(): + from sympy.logic.boolalg import And + assert _test_args(And(x, y, 1)) + + +@SKIP("abstract class") +def test_sympy__logic__boolalg__Boolean(): + pass + + +def test_sympy__logic__boolalg__BooleanFunction(): + from sympy.logic.boolalg import BooleanFunction + assert _test_args(BooleanFunction(1, 2, 3)) + +@SKIP("abstract class") +def test_sympy__logic__boolalg__BooleanAtom(): + pass + +def test_sympy__logic__boolalg__BooleanTrue(): + from sympy.logic.boolalg import true + assert _test_args(true) + +def test_sympy__logic__boolalg__BooleanFalse(): + from sympy.logic.boolalg import false + assert _test_args(false) + +def test_sympy__logic__boolalg__Equivalent(): + from sympy.logic.boolalg import Equivalent + assert _test_args(Equivalent(x, 2)) + + +def test_sympy__logic__boolalg__ITE(): + from sympy.logic.boolalg import ITE + assert _test_args(ITE(x, y, 1)) + + +def test_sympy__logic__boolalg__Implies(): + from sympy.logic.boolalg import Implies + assert _test_args(Implies(x, y)) + + +def test_sympy__logic__boolalg__Nand(): + from sympy.logic.boolalg import Nand + assert _test_args(Nand(x, y, 1)) + + +def test_sympy__logic__boolalg__Nor(): + from sympy.logic.boolalg import Nor + assert _test_args(Nor(x, y)) + + +def test_sympy__logic__boolalg__Not(): + from sympy.logic.boolalg import Not + assert _test_args(Not(x)) + + +def test_sympy__logic__boolalg__Or(): + from sympy.logic.boolalg import Or + assert _test_args(Or(x, y)) + + +def test_sympy__logic__boolalg__Xor(): + from sympy.logic.boolalg import Xor + assert _test_args(Xor(x, y, 2)) + +def test_sympy__logic__boolalg__Xnor(): + from sympy.logic.boolalg import Xnor + assert _test_args(Xnor(x, y, 2)) + +def test_sympy__logic__boolalg__Exclusive(): + from sympy.logic.boolalg import Exclusive + assert _test_args(Exclusive(x, y, z)) + + +def test_sympy__matrices__matrices__DeferredVector(): + from sympy.matrices.matrices import DeferredVector + assert _test_args(DeferredVector("X")) + + +@SKIP("abstract class") +def test_sympy__matrices__expressions__matexpr__MatrixBase(): + pass + + +@SKIP("abstract class") +def test_sympy__matrices__immutable__ImmutableRepMatrix(): + pass + + +def test_sympy__matrices__immutable__ImmutableDenseMatrix(): + from sympy.matrices.immutable import ImmutableDenseMatrix + m = ImmutableDenseMatrix([[1, 2], [3, 4]]) + assert _test_args(m) + assert _test_args(Basic(*list(m))) + m = ImmutableDenseMatrix(1, 1, [1]) + assert _test_args(m) + assert _test_args(Basic(*list(m))) + m = ImmutableDenseMatrix(2, 2, lambda i, j: 1) + assert m[0, 0] is S.One + m = ImmutableDenseMatrix(2, 2, lambda i, j: 1/(1 + i) + 1/(1 + j)) + assert m[1, 1] is S.One # true div. will give 1.0 if i,j not sympified + assert _test_args(m) + assert _test_args(Basic(*list(m))) + + +def test_sympy__matrices__immutable__ImmutableSparseMatrix(): + from sympy.matrices.immutable import ImmutableSparseMatrix + m = ImmutableSparseMatrix([[1, 2], [3, 4]]) + assert _test_args(m) + assert _test_args(Basic(*list(m))) + m = ImmutableSparseMatrix(1, 1, {(0, 0): 1}) + assert _test_args(m) + assert _test_args(Basic(*list(m))) + m = ImmutableSparseMatrix(1, 1, [1]) + assert _test_args(m) + assert _test_args(Basic(*list(m))) + m = ImmutableSparseMatrix(2, 2, lambda i, j: 1) + assert m[0, 0] is S.One + m = ImmutableSparseMatrix(2, 2, lambda i, j: 1/(1 + i) + 1/(1 + j)) + assert m[1, 1] is S.One # true div. will give 1.0 if i,j not sympified + assert _test_args(m) + assert _test_args(Basic(*list(m))) + + +def test_sympy__matrices__expressions__slice__MatrixSlice(): + from sympy.matrices.expressions.slice import MatrixSlice + from sympy.matrices.expressions import MatrixSymbol + X = MatrixSymbol('X', 4, 4) + assert _test_args(MatrixSlice(X, (0, 2), (0, 2))) + + +def test_sympy__matrices__expressions__applyfunc__ElementwiseApplyFunction(): + from sympy.matrices.expressions.applyfunc import ElementwiseApplyFunction + from sympy.matrices.expressions import MatrixSymbol + X = MatrixSymbol("X", x, x) + func = Lambda(x, x**2) + assert _test_args(ElementwiseApplyFunction(func, X)) + + +def test_sympy__matrices__expressions__blockmatrix__BlockDiagMatrix(): + from sympy.matrices.expressions.blockmatrix import BlockDiagMatrix + from sympy.matrices.expressions import MatrixSymbol + X = MatrixSymbol('X', x, x) + Y = MatrixSymbol('Y', y, y) + assert _test_args(BlockDiagMatrix(X, Y)) + + +def test_sympy__matrices__expressions__blockmatrix__BlockMatrix(): + from sympy.matrices.expressions.blockmatrix import BlockMatrix + from sympy.matrices.expressions import MatrixSymbol, ZeroMatrix + X = MatrixSymbol('X', x, x) + Y = MatrixSymbol('Y', y, y) + Z = MatrixSymbol('Z', x, y) + O = ZeroMatrix(y, x) + assert _test_args(BlockMatrix([[X, Z], [O, Y]])) + + +def test_sympy__matrices__expressions__inverse__Inverse(): + from sympy.matrices.expressions.inverse import Inverse + from sympy.matrices.expressions import MatrixSymbol + assert _test_args(Inverse(MatrixSymbol('A', 3, 3))) + + +def test_sympy__matrices__expressions__matadd__MatAdd(): + from sympy.matrices.expressions.matadd import MatAdd + from sympy.matrices.expressions import MatrixSymbol + X = MatrixSymbol('X', x, y) + Y = MatrixSymbol('Y', x, y) + assert _test_args(MatAdd(X, Y)) + + +@SKIP("abstract class") +def test_sympy__matrices__expressions__matexpr__MatrixExpr(): + pass + +def test_sympy__matrices__expressions__matexpr__MatrixElement(): + from sympy.matrices.expressions.matexpr import MatrixSymbol, MatrixElement + from sympy.core.singleton import S + assert _test_args(MatrixElement(MatrixSymbol('A', 3, 5), S(2), S(3))) + +def test_sympy__matrices__expressions__matexpr__MatrixSymbol(): + from sympy.matrices.expressions.matexpr import MatrixSymbol + assert _test_args(MatrixSymbol('A', 3, 5)) + + +def test_sympy__matrices__expressions__special__OneMatrix(): + from sympy.matrices.expressions.special import OneMatrix + assert _test_args(OneMatrix(3, 5)) + + +def test_sympy__matrices__expressions__special__ZeroMatrix(): + from sympy.matrices.expressions.special import ZeroMatrix + assert _test_args(ZeroMatrix(3, 5)) + + +def test_sympy__matrices__expressions__special__GenericZeroMatrix(): + from sympy.matrices.expressions.special import GenericZeroMatrix + assert _test_args(GenericZeroMatrix()) + + +def test_sympy__matrices__expressions__special__Identity(): + from sympy.matrices.expressions.special import Identity + assert _test_args(Identity(3)) + + +def test_sympy__matrices__expressions__special__GenericIdentity(): + from sympy.matrices.expressions.special import GenericIdentity + assert _test_args(GenericIdentity()) + + +def test_sympy__matrices__expressions__sets__MatrixSet(): + from sympy.matrices.expressions.sets import MatrixSet + from sympy.core.singleton import S + assert _test_args(MatrixSet(2, 2, S.Reals)) + +def test_sympy__matrices__expressions__matmul__MatMul(): + from sympy.matrices.expressions.matmul import MatMul + from sympy.matrices.expressions import MatrixSymbol + X = MatrixSymbol('X', x, y) + Y = MatrixSymbol('Y', y, x) + assert _test_args(MatMul(X, Y)) + + +def test_sympy__matrices__expressions__dotproduct__DotProduct(): + from sympy.matrices.expressions.dotproduct import DotProduct + from sympy.matrices.expressions import MatrixSymbol + X = MatrixSymbol('X', x, 1) + Y = MatrixSymbol('Y', x, 1) + assert _test_args(DotProduct(X, Y)) + +def test_sympy__matrices__expressions__diagonal__DiagonalMatrix(): + from sympy.matrices.expressions.diagonal import DiagonalMatrix + from sympy.matrices.expressions import MatrixSymbol + x = MatrixSymbol('x', 10, 1) + assert _test_args(DiagonalMatrix(x)) + +def test_sympy__matrices__expressions__diagonal__DiagonalOf(): + from sympy.matrices.expressions.diagonal import DiagonalOf + from sympy.matrices.expressions import MatrixSymbol + X = MatrixSymbol('x', 10, 10) + assert _test_args(DiagonalOf(X)) + +def test_sympy__matrices__expressions__diagonal__DiagMatrix(): + from sympy.matrices.expressions.diagonal import DiagMatrix + from sympy.matrices.expressions import MatrixSymbol + x = MatrixSymbol('x', 10, 1) + assert _test_args(DiagMatrix(x)) + +def test_sympy__matrices__expressions__hadamard__HadamardProduct(): + from sympy.matrices.expressions.hadamard import HadamardProduct + from sympy.matrices.expressions import MatrixSymbol + X = MatrixSymbol('X', x, y) + Y = MatrixSymbol('Y', x, y) + assert _test_args(HadamardProduct(X, Y)) + +def test_sympy__matrices__expressions__hadamard__HadamardPower(): + from sympy.matrices.expressions.hadamard import HadamardPower + from sympy.matrices.expressions import MatrixSymbol + from sympy.core.symbol import Symbol + X = MatrixSymbol('X', x, y) + n = Symbol("n") + assert _test_args(HadamardPower(X, n)) + +def test_sympy__matrices__expressions__kronecker__KroneckerProduct(): + from sympy.matrices.expressions.kronecker import KroneckerProduct + from sympy.matrices.expressions import MatrixSymbol + X = MatrixSymbol('X', x, y) + Y = MatrixSymbol('Y', x, y) + assert _test_args(KroneckerProduct(X, Y)) + + +def test_sympy__matrices__expressions__matpow__MatPow(): + from sympy.matrices.expressions.matpow import MatPow + from sympy.matrices.expressions import MatrixSymbol + X = MatrixSymbol('X', x, x) + assert _test_args(MatPow(X, 2)) + + +def test_sympy__matrices__expressions__transpose__Transpose(): + from sympy.matrices.expressions.transpose import Transpose + from sympy.matrices.expressions import MatrixSymbol + assert _test_args(Transpose(MatrixSymbol('A', 3, 5))) + + +def test_sympy__matrices__expressions__adjoint__Adjoint(): + from sympy.matrices.expressions.adjoint import Adjoint + from sympy.matrices.expressions import MatrixSymbol + assert _test_args(Adjoint(MatrixSymbol('A', 3, 5))) + + +def test_sympy__matrices__expressions__trace__Trace(): + from sympy.matrices.expressions.trace import Trace + from sympy.matrices.expressions import MatrixSymbol + assert _test_args(Trace(MatrixSymbol('A', 3, 3))) + +def test_sympy__matrices__expressions__determinant__Determinant(): + from sympy.matrices.expressions.determinant import Determinant + from sympy.matrices.expressions import MatrixSymbol + assert _test_args(Determinant(MatrixSymbol('A', 3, 3))) + +def test_sympy__matrices__expressions__determinant__Permanent(): + from sympy.matrices.expressions.determinant import Permanent + from sympy.matrices.expressions import MatrixSymbol + assert _test_args(Permanent(MatrixSymbol('A', 3, 4))) + +def test_sympy__matrices__expressions__funcmatrix__FunctionMatrix(): + from sympy.matrices.expressions.funcmatrix import FunctionMatrix + from sympy.core.symbol import symbols + i, j = symbols('i,j') + assert _test_args(FunctionMatrix(3, 3, Lambda((i, j), i - j) )) + +def test_sympy__matrices__expressions__fourier__DFT(): + from sympy.matrices.expressions.fourier import DFT + from sympy.core.singleton import S + assert _test_args(DFT(S(2))) + +def test_sympy__matrices__expressions__fourier__IDFT(): + from sympy.matrices.expressions.fourier import IDFT + from sympy.core.singleton import S + assert _test_args(IDFT(S(2))) + +from sympy.matrices.expressions import MatrixSymbol +X = MatrixSymbol('X', 10, 10) + +def test_sympy__matrices__expressions__factorizations__LofLU(): + from sympy.matrices.expressions.factorizations import LofLU + assert _test_args(LofLU(X)) + +def test_sympy__matrices__expressions__factorizations__UofLU(): + from sympy.matrices.expressions.factorizations import UofLU + assert _test_args(UofLU(X)) + +def test_sympy__matrices__expressions__factorizations__QofQR(): + from sympy.matrices.expressions.factorizations import QofQR + assert _test_args(QofQR(X)) + +def test_sympy__matrices__expressions__factorizations__RofQR(): + from sympy.matrices.expressions.factorizations import RofQR + assert _test_args(RofQR(X)) + +def test_sympy__matrices__expressions__factorizations__LofCholesky(): + from sympy.matrices.expressions.factorizations import LofCholesky + assert _test_args(LofCholesky(X)) + +def test_sympy__matrices__expressions__factorizations__UofCholesky(): + from sympy.matrices.expressions.factorizations import UofCholesky + assert _test_args(UofCholesky(X)) + +def test_sympy__matrices__expressions__factorizations__EigenVectors(): + from sympy.matrices.expressions.factorizations import EigenVectors + assert _test_args(EigenVectors(X)) + +def test_sympy__matrices__expressions__factorizations__EigenValues(): + from sympy.matrices.expressions.factorizations import EigenValues + assert _test_args(EigenValues(X)) + +def test_sympy__matrices__expressions__factorizations__UofSVD(): + from sympy.matrices.expressions.factorizations import UofSVD + assert _test_args(UofSVD(X)) + +def test_sympy__matrices__expressions__factorizations__VofSVD(): + from sympy.matrices.expressions.factorizations import VofSVD + assert _test_args(VofSVD(X)) + +def test_sympy__matrices__expressions__factorizations__SofSVD(): + from sympy.matrices.expressions.factorizations import SofSVD + assert _test_args(SofSVD(X)) + +@SKIP("abstract class") +def test_sympy__matrices__expressions__factorizations__Factorization(): + pass + +def test_sympy__matrices__expressions__permutation__PermutationMatrix(): + from sympy.combinatorics import Permutation + from sympy.matrices.expressions.permutation import PermutationMatrix + assert _test_args(PermutationMatrix(Permutation([2, 0, 1]))) + +def test_sympy__matrices__expressions__permutation__MatrixPermute(): + from sympy.combinatorics import Permutation + from sympy.matrices.expressions.matexpr import MatrixSymbol + from sympy.matrices.expressions.permutation import MatrixPermute + A = MatrixSymbol('A', 3, 3) + assert _test_args(MatrixPermute(A, Permutation([2, 0, 1]))) + +def test_sympy__matrices__expressions__companion__CompanionMatrix(): + from sympy.core.symbol import Symbol + from sympy.matrices.expressions.companion import CompanionMatrix + from sympy.polys.polytools import Poly + + x = Symbol('x') + p = Poly([1, 2, 3], x) + assert _test_args(CompanionMatrix(p)) + +def test_sympy__physics__vector__frame__CoordinateSym(): + from sympy.physics.vector import CoordinateSym + from sympy.physics.vector import ReferenceFrame + assert _test_args(CoordinateSym('R_x', ReferenceFrame('R'), 0)) + + +def test_sympy__physics__paulialgebra__Pauli(): + from sympy.physics.paulialgebra import Pauli + assert _test_args(Pauli(1)) + + +def test_sympy__physics__quantum__anticommutator__AntiCommutator(): + from sympy.physics.quantum.anticommutator import AntiCommutator + assert _test_args(AntiCommutator(x, y)) + + +def test_sympy__physics__quantum__cartesian__PositionBra3D(): + from sympy.physics.quantum.cartesian import PositionBra3D + assert _test_args(PositionBra3D(x, y, z)) + + +def test_sympy__physics__quantum__cartesian__PositionKet3D(): + from sympy.physics.quantum.cartesian import PositionKet3D + assert _test_args(PositionKet3D(x, y, z)) + + +def test_sympy__physics__quantum__cartesian__PositionState3D(): + from sympy.physics.quantum.cartesian import PositionState3D + assert _test_args(PositionState3D(x, y, z)) + + +def test_sympy__physics__quantum__cartesian__PxBra(): + from sympy.physics.quantum.cartesian import PxBra + assert _test_args(PxBra(x, y, z)) + + +def test_sympy__physics__quantum__cartesian__PxKet(): + from sympy.physics.quantum.cartesian import PxKet + assert _test_args(PxKet(x, y, z)) + + +def test_sympy__physics__quantum__cartesian__PxOp(): + from sympy.physics.quantum.cartesian import PxOp + assert _test_args(PxOp(x, y, z)) + + +def test_sympy__physics__quantum__cartesian__XBra(): + from sympy.physics.quantum.cartesian import XBra + assert _test_args(XBra(x)) + + +def test_sympy__physics__quantum__cartesian__XKet(): + from sympy.physics.quantum.cartesian import XKet + assert _test_args(XKet(x)) + + +def test_sympy__physics__quantum__cartesian__XOp(): + from sympy.physics.quantum.cartesian import XOp + assert _test_args(XOp(x)) + + +def test_sympy__physics__quantum__cartesian__YOp(): + from sympy.physics.quantum.cartesian import YOp + assert _test_args(YOp(x)) + + +def test_sympy__physics__quantum__cartesian__ZOp(): + from sympy.physics.quantum.cartesian import ZOp + assert _test_args(ZOp(x)) + + +def test_sympy__physics__quantum__cg__CG(): + from sympy.physics.quantum.cg import CG + from sympy.core.singleton import S + assert _test_args(CG(Rational(3, 2), Rational(3, 2), S.Half, Rational(-1, 2), 1, 1)) + + +def test_sympy__physics__quantum__cg__Wigner3j(): + from sympy.physics.quantum.cg import Wigner3j + assert _test_args(Wigner3j(6, 0, 4, 0, 2, 0)) + + +def test_sympy__physics__quantum__cg__Wigner6j(): + from sympy.physics.quantum.cg import Wigner6j + assert _test_args(Wigner6j(1, 2, 3, 2, 1, 2)) + + +def test_sympy__physics__quantum__cg__Wigner9j(): + from sympy.physics.quantum.cg import Wigner9j + assert _test_args(Wigner9j(2, 1, 1, Rational(3, 2), S.Half, 1, S.Half, S.Half, 0)) + +def test_sympy__physics__quantum__circuitplot__Mz(): + from sympy.physics.quantum.circuitplot import Mz + assert _test_args(Mz(0)) + +def test_sympy__physics__quantum__circuitplot__Mx(): + from sympy.physics.quantum.circuitplot import Mx + assert _test_args(Mx(0)) + +def test_sympy__physics__quantum__commutator__Commutator(): + from sympy.physics.quantum.commutator import Commutator + A, B = symbols('A,B', commutative=False) + assert _test_args(Commutator(A, B)) + + +def test_sympy__physics__quantum__constants__HBar(): + from sympy.physics.quantum.constants import HBar + assert _test_args(HBar()) + + +def test_sympy__physics__quantum__dagger__Dagger(): + from sympy.physics.quantum.dagger import Dagger + from sympy.physics.quantum.state import Ket + assert _test_args(Dagger(Dagger(Ket('psi')))) + + +def test_sympy__physics__quantum__gate__CGate(): + from sympy.physics.quantum.gate import CGate, Gate + assert _test_args(CGate((0, 1), Gate(2))) + + +def test_sympy__physics__quantum__gate__CGateS(): + from sympy.physics.quantum.gate import CGateS, Gate + assert _test_args(CGateS((0, 1), Gate(2))) + + +def test_sympy__physics__quantum__gate__CNotGate(): + from sympy.physics.quantum.gate import CNotGate + assert _test_args(CNotGate(0, 1)) + + +def test_sympy__physics__quantum__gate__Gate(): + from sympy.physics.quantum.gate import Gate + assert _test_args(Gate(0)) + + +def test_sympy__physics__quantum__gate__HadamardGate(): + from sympy.physics.quantum.gate import HadamardGate + assert _test_args(HadamardGate(0)) + + +def test_sympy__physics__quantum__gate__IdentityGate(): + from sympy.physics.quantum.gate import IdentityGate + assert _test_args(IdentityGate(0)) + + +def test_sympy__physics__quantum__gate__OneQubitGate(): + from sympy.physics.quantum.gate import OneQubitGate + assert _test_args(OneQubitGate(0)) + + +def test_sympy__physics__quantum__gate__PhaseGate(): + from sympy.physics.quantum.gate import PhaseGate + assert _test_args(PhaseGate(0)) + + +def test_sympy__physics__quantum__gate__SwapGate(): + from sympy.physics.quantum.gate import SwapGate + assert _test_args(SwapGate(0, 1)) + + +def test_sympy__physics__quantum__gate__TGate(): + from sympy.physics.quantum.gate import TGate + assert _test_args(TGate(0)) + + +def test_sympy__physics__quantum__gate__TwoQubitGate(): + from sympy.physics.quantum.gate import TwoQubitGate + assert _test_args(TwoQubitGate(0)) + + +def test_sympy__physics__quantum__gate__UGate(): + from sympy.physics.quantum.gate import UGate + from sympy.matrices.immutable import ImmutableDenseMatrix + from sympy.core.containers import Tuple + from sympy.core.numbers import Integer + assert _test_args( + UGate(Tuple(Integer(1)), ImmutableDenseMatrix([[1, 0], [0, 2]]))) + + +def test_sympy__physics__quantum__gate__XGate(): + from sympy.physics.quantum.gate import XGate + assert _test_args(XGate(0)) + + +def test_sympy__physics__quantum__gate__YGate(): + from sympy.physics.quantum.gate import YGate + assert _test_args(YGate(0)) + + +def test_sympy__physics__quantum__gate__ZGate(): + from sympy.physics.quantum.gate import ZGate + assert _test_args(ZGate(0)) + + +def test_sympy__physics__quantum__grover__OracleGateFunction(): + from sympy.physics.quantum.grover import OracleGateFunction + @OracleGateFunction + def f(qubit): + return + assert _test_args(f) + +def test_sympy__physics__quantum__grover__OracleGate(): + from sympy.physics.quantum.grover import OracleGate + def f(qubit): + return + assert _test_args(OracleGate(1,f)) + + +def test_sympy__physics__quantum__grover__WGate(): + from sympy.physics.quantum.grover import WGate + assert _test_args(WGate(1)) + + +def test_sympy__physics__quantum__hilbert__ComplexSpace(): + from sympy.physics.quantum.hilbert import ComplexSpace + assert _test_args(ComplexSpace(x)) + + +def test_sympy__physics__quantum__hilbert__DirectSumHilbertSpace(): + from sympy.physics.quantum.hilbert import DirectSumHilbertSpace, ComplexSpace, FockSpace + c = ComplexSpace(2) + f = FockSpace() + assert _test_args(DirectSumHilbertSpace(c, f)) + + +def test_sympy__physics__quantum__hilbert__FockSpace(): + from sympy.physics.quantum.hilbert import FockSpace + assert _test_args(FockSpace()) + + +def test_sympy__physics__quantum__hilbert__HilbertSpace(): + from sympy.physics.quantum.hilbert import HilbertSpace + assert _test_args(HilbertSpace()) + + +def test_sympy__physics__quantum__hilbert__L2(): + from sympy.physics.quantum.hilbert import L2 + from sympy.core.numbers import oo + from sympy.sets.sets import Interval + assert _test_args(L2(Interval(0, oo))) + + +def test_sympy__physics__quantum__hilbert__TensorPowerHilbertSpace(): + from sympy.physics.quantum.hilbert import TensorPowerHilbertSpace, FockSpace + f = FockSpace() + assert _test_args(TensorPowerHilbertSpace(f, 2)) + + +def test_sympy__physics__quantum__hilbert__TensorProductHilbertSpace(): + from sympy.physics.quantum.hilbert import TensorProductHilbertSpace, FockSpace, ComplexSpace + c = ComplexSpace(2) + f = FockSpace() + assert _test_args(TensorProductHilbertSpace(f, c)) + + +def test_sympy__physics__quantum__innerproduct__InnerProduct(): + from sympy.physics.quantum import Bra, Ket, InnerProduct + b = Bra('b') + k = Ket('k') + assert _test_args(InnerProduct(b, k)) + + +def test_sympy__physics__quantum__operator__DifferentialOperator(): + from sympy.physics.quantum.operator import DifferentialOperator + from sympy.core.function import (Derivative, Function) + f = Function('f') + assert _test_args(DifferentialOperator(1/x*Derivative(f(x), x), f(x))) + + +def test_sympy__physics__quantum__operator__HermitianOperator(): + from sympy.physics.quantum.operator import HermitianOperator + assert _test_args(HermitianOperator('H')) + + +def test_sympy__physics__quantum__operator__IdentityOperator(): + from sympy.physics.quantum.operator import IdentityOperator + assert _test_args(IdentityOperator(5)) + + +def test_sympy__physics__quantum__operator__Operator(): + from sympy.physics.quantum.operator import Operator + assert _test_args(Operator('A')) + + +def test_sympy__physics__quantum__operator__OuterProduct(): + from sympy.physics.quantum.operator import OuterProduct + from sympy.physics.quantum import Ket, Bra + b = Bra('b') + k = Ket('k') + assert _test_args(OuterProduct(k, b)) + + +def test_sympy__physics__quantum__operator__UnitaryOperator(): + from sympy.physics.quantum.operator import UnitaryOperator + assert _test_args(UnitaryOperator('U')) + + +def test_sympy__physics__quantum__piab__PIABBra(): + from sympy.physics.quantum.piab import PIABBra + assert _test_args(PIABBra('B')) + + +def test_sympy__physics__quantum__boson__BosonOp(): + from sympy.physics.quantum.boson import BosonOp + assert _test_args(BosonOp('a')) + assert _test_args(BosonOp('a', False)) + + +def test_sympy__physics__quantum__boson__BosonFockKet(): + from sympy.physics.quantum.boson import BosonFockKet + assert _test_args(BosonFockKet(1)) + + +def test_sympy__physics__quantum__boson__BosonFockBra(): + from sympy.physics.quantum.boson import BosonFockBra + assert _test_args(BosonFockBra(1)) + + +def test_sympy__physics__quantum__boson__BosonCoherentKet(): + from sympy.physics.quantum.boson import BosonCoherentKet + assert _test_args(BosonCoherentKet(1)) + + +def test_sympy__physics__quantum__boson__BosonCoherentBra(): + from sympy.physics.quantum.boson import BosonCoherentBra + assert _test_args(BosonCoherentBra(1)) + + +def test_sympy__physics__quantum__fermion__FermionOp(): + from sympy.physics.quantum.fermion import FermionOp + assert _test_args(FermionOp('c')) + assert _test_args(FermionOp('c', False)) + + +def test_sympy__physics__quantum__fermion__FermionFockKet(): + from sympy.physics.quantum.fermion import FermionFockKet + assert _test_args(FermionFockKet(1)) + + +def test_sympy__physics__quantum__fermion__FermionFockBra(): + from sympy.physics.quantum.fermion import FermionFockBra + assert _test_args(FermionFockBra(1)) + + +def test_sympy__physics__quantum__pauli__SigmaOpBase(): + from sympy.physics.quantum.pauli import SigmaOpBase + assert _test_args(SigmaOpBase()) + + +def test_sympy__physics__quantum__pauli__SigmaX(): + from sympy.physics.quantum.pauli import SigmaX + assert _test_args(SigmaX()) + + +def test_sympy__physics__quantum__pauli__SigmaY(): + from sympy.physics.quantum.pauli import SigmaY + assert _test_args(SigmaY()) + + +def test_sympy__physics__quantum__pauli__SigmaZ(): + from sympy.physics.quantum.pauli import SigmaZ + assert _test_args(SigmaZ()) + + +def test_sympy__physics__quantum__pauli__SigmaMinus(): + from sympy.physics.quantum.pauli import SigmaMinus + assert _test_args(SigmaMinus()) + + +def test_sympy__physics__quantum__pauli__SigmaPlus(): + from sympy.physics.quantum.pauli import SigmaPlus + assert _test_args(SigmaPlus()) + + +def test_sympy__physics__quantum__pauli__SigmaZKet(): + from sympy.physics.quantum.pauli import SigmaZKet + assert _test_args(SigmaZKet(0)) + + +def test_sympy__physics__quantum__pauli__SigmaZBra(): + from sympy.physics.quantum.pauli import SigmaZBra + assert _test_args(SigmaZBra(0)) + + +def test_sympy__physics__quantum__piab__PIABHamiltonian(): + from sympy.physics.quantum.piab import PIABHamiltonian + assert _test_args(PIABHamiltonian('P')) + + +def test_sympy__physics__quantum__piab__PIABKet(): + from sympy.physics.quantum.piab import PIABKet + assert _test_args(PIABKet('K')) + + +def test_sympy__physics__quantum__qexpr__QExpr(): + from sympy.physics.quantum.qexpr import QExpr + assert _test_args(QExpr(0)) + + +def test_sympy__physics__quantum__qft__Fourier(): + from sympy.physics.quantum.qft import Fourier + assert _test_args(Fourier(0, 1)) + + +def test_sympy__physics__quantum__qft__IQFT(): + from sympy.physics.quantum.qft import IQFT + assert _test_args(IQFT(0, 1)) + + +def test_sympy__physics__quantum__qft__QFT(): + from sympy.physics.quantum.qft import QFT + assert _test_args(QFT(0, 1)) + + +def test_sympy__physics__quantum__qft__RkGate(): + from sympy.physics.quantum.qft import RkGate + assert _test_args(RkGate(0, 1)) + + +def test_sympy__physics__quantum__qubit__IntQubit(): + from sympy.physics.quantum.qubit import IntQubit + assert _test_args(IntQubit(0)) + + +def test_sympy__physics__quantum__qubit__IntQubitBra(): + from sympy.physics.quantum.qubit import IntQubitBra + assert _test_args(IntQubitBra(0)) + + +def test_sympy__physics__quantum__qubit__IntQubitState(): + from sympy.physics.quantum.qubit import IntQubitState, QubitState + assert _test_args(IntQubitState(QubitState(0, 1))) + + +def test_sympy__physics__quantum__qubit__Qubit(): + from sympy.physics.quantum.qubit import Qubit + assert _test_args(Qubit(0, 0, 0)) + + +def test_sympy__physics__quantum__qubit__QubitBra(): + from sympy.physics.quantum.qubit import QubitBra + assert _test_args(QubitBra('1', 0)) + + +def test_sympy__physics__quantum__qubit__QubitState(): + from sympy.physics.quantum.qubit import QubitState + assert _test_args(QubitState(0, 1)) + + +def test_sympy__physics__quantum__density__Density(): + from sympy.physics.quantum.density import Density + from sympy.physics.quantum.state import Ket + assert _test_args(Density([Ket(0), 0.5], [Ket(1), 0.5])) + + +@SKIP("TODO: sympy.physics.quantum.shor: Cmod Not Implemented") +def test_sympy__physics__quantum__shor__CMod(): + from sympy.physics.quantum.shor import CMod + assert _test_args(CMod()) + + +def test_sympy__physics__quantum__spin__CoupledSpinState(): + from sympy.physics.quantum.spin import CoupledSpinState + assert _test_args(CoupledSpinState(1, 0, (1, 1))) + assert _test_args(CoupledSpinState(1, 0, (1, S.Half, S.Half))) + assert _test_args(CoupledSpinState( + 1, 0, (1, S.Half, S.Half), ((2, 3, S.Half), (1, 2, 1)) )) + j, m, j1, j2, j3, j12, x = symbols('j m j1:4 j12 x') + assert CoupledSpinState( + j, m, (j1, j2, j3)).subs(j2, x) == CoupledSpinState(j, m, (j1, x, j3)) + assert CoupledSpinState(j, m, (j1, j2, j3), ((1, 3, j12), (1, 2, j)) ).subs(j12, x) == \ + CoupledSpinState(j, m, (j1, j2, j3), ((1, 3, x), (1, 2, j)) ) + + +def test_sympy__physics__quantum__spin__J2Op(): + from sympy.physics.quantum.spin import J2Op + assert _test_args(J2Op('J')) + + +def test_sympy__physics__quantum__spin__JminusOp(): + from sympy.physics.quantum.spin import JminusOp + assert _test_args(JminusOp('J')) + + +def test_sympy__physics__quantum__spin__JplusOp(): + from sympy.physics.quantum.spin import JplusOp + assert _test_args(JplusOp('J')) + + +def test_sympy__physics__quantum__spin__JxBra(): + from sympy.physics.quantum.spin import JxBra + assert _test_args(JxBra(1, 0)) + + +def test_sympy__physics__quantum__spin__JxBraCoupled(): + from sympy.physics.quantum.spin import JxBraCoupled + assert _test_args(JxBraCoupled(1, 0, (1, 1))) + + +def test_sympy__physics__quantum__spin__JxKet(): + from sympy.physics.quantum.spin import JxKet + assert _test_args(JxKet(1, 0)) + + +def test_sympy__physics__quantum__spin__JxKetCoupled(): + from sympy.physics.quantum.spin import JxKetCoupled + assert _test_args(JxKetCoupled(1, 0, (1, 1))) + + +def test_sympy__physics__quantum__spin__JxOp(): + from sympy.physics.quantum.spin import JxOp + assert _test_args(JxOp('J')) + + +def test_sympy__physics__quantum__spin__JyBra(): + from sympy.physics.quantum.spin import JyBra + assert _test_args(JyBra(1, 0)) + + +def test_sympy__physics__quantum__spin__JyBraCoupled(): + from sympy.physics.quantum.spin import JyBraCoupled + assert _test_args(JyBraCoupled(1, 0, (1, 1))) + + +def test_sympy__physics__quantum__spin__JyKet(): + from sympy.physics.quantum.spin import JyKet + assert _test_args(JyKet(1, 0)) + + +def test_sympy__physics__quantum__spin__JyKetCoupled(): + from sympy.physics.quantum.spin import JyKetCoupled + assert _test_args(JyKetCoupled(1, 0, (1, 1))) + + +def test_sympy__physics__quantum__spin__JyOp(): + from sympy.physics.quantum.spin import JyOp + assert _test_args(JyOp('J')) + + +def test_sympy__physics__quantum__spin__JzBra(): + from sympy.physics.quantum.spin import JzBra + assert _test_args(JzBra(1, 0)) + + +def test_sympy__physics__quantum__spin__JzBraCoupled(): + from sympy.physics.quantum.spin import JzBraCoupled + assert _test_args(JzBraCoupled(1, 0, (1, 1))) + + +def test_sympy__physics__quantum__spin__JzKet(): + from sympy.physics.quantum.spin import JzKet + assert _test_args(JzKet(1, 0)) + + +def test_sympy__physics__quantum__spin__JzKetCoupled(): + from sympy.physics.quantum.spin import JzKetCoupled + assert _test_args(JzKetCoupled(1, 0, (1, 1))) + + +def test_sympy__physics__quantum__spin__JzOp(): + from sympy.physics.quantum.spin import JzOp + assert _test_args(JzOp('J')) + + +def test_sympy__physics__quantum__spin__Rotation(): + from sympy.physics.quantum.spin import Rotation + assert _test_args(Rotation(pi, 0, pi/2)) + + +def test_sympy__physics__quantum__spin__SpinState(): + from sympy.physics.quantum.spin import SpinState + assert _test_args(SpinState(1, 0)) + + +def test_sympy__physics__quantum__spin__WignerD(): + from sympy.physics.quantum.spin import WignerD + assert _test_args(WignerD(0, 1, 2, 3, 4, 5)) + + +def test_sympy__physics__quantum__state__Bra(): + from sympy.physics.quantum.state import Bra + assert _test_args(Bra(0)) + + +def test_sympy__physics__quantum__state__BraBase(): + from sympy.physics.quantum.state import BraBase + assert _test_args(BraBase(0)) + + +def test_sympy__physics__quantum__state__Ket(): + from sympy.physics.quantum.state import Ket + assert _test_args(Ket(0)) + + +def test_sympy__physics__quantum__state__KetBase(): + from sympy.physics.quantum.state import KetBase + assert _test_args(KetBase(0)) + + +def test_sympy__physics__quantum__state__State(): + from sympy.physics.quantum.state import State + assert _test_args(State(0)) + + +def test_sympy__physics__quantum__state__StateBase(): + from sympy.physics.quantum.state import StateBase + assert _test_args(StateBase(0)) + + +def test_sympy__physics__quantum__state__OrthogonalBra(): + from sympy.physics.quantum.state import OrthogonalBra + assert _test_args(OrthogonalBra(0)) + + +def test_sympy__physics__quantum__state__OrthogonalKet(): + from sympy.physics.quantum.state import OrthogonalKet + assert _test_args(OrthogonalKet(0)) + + +def test_sympy__physics__quantum__state__OrthogonalState(): + from sympy.physics.quantum.state import OrthogonalState + assert _test_args(OrthogonalState(0)) + + +def test_sympy__physics__quantum__state__TimeDepBra(): + from sympy.physics.quantum.state import TimeDepBra + assert _test_args(TimeDepBra('psi', 't')) + + +def test_sympy__physics__quantum__state__TimeDepKet(): + from sympy.physics.quantum.state import TimeDepKet + assert _test_args(TimeDepKet('psi', 't')) + + +def test_sympy__physics__quantum__state__TimeDepState(): + from sympy.physics.quantum.state import TimeDepState + assert _test_args(TimeDepState('psi', 't')) + + +def test_sympy__physics__quantum__state__Wavefunction(): + from sympy.physics.quantum.state import Wavefunction + from sympy.functions import sin + from sympy.functions.elementary.piecewise import Piecewise + n = 1 + L = 1 + g = Piecewise((0, x < 0), (0, x > L), (sqrt(2//L)*sin(n*pi*x/L), True)) + assert _test_args(Wavefunction(g, x)) + + +def test_sympy__physics__quantum__tensorproduct__TensorProduct(): + from sympy.physics.quantum.tensorproduct import TensorProduct + x, y = symbols("x y", commutative=False) + assert _test_args(TensorProduct(x, y)) + + +def test_sympy__physics__quantum__identitysearch__GateIdentity(): + from sympy.physics.quantum.gate import X + from sympy.physics.quantum.identitysearch import GateIdentity + assert _test_args(GateIdentity(X(0), X(0))) + + +def test_sympy__physics__quantum__sho1d__SHOOp(): + from sympy.physics.quantum.sho1d import SHOOp + assert _test_args(SHOOp('a')) + + +def test_sympy__physics__quantum__sho1d__RaisingOp(): + from sympy.physics.quantum.sho1d import RaisingOp + assert _test_args(RaisingOp('a')) + + +def test_sympy__physics__quantum__sho1d__LoweringOp(): + from sympy.physics.quantum.sho1d import LoweringOp + assert _test_args(LoweringOp('a')) + + +def test_sympy__physics__quantum__sho1d__NumberOp(): + from sympy.physics.quantum.sho1d import NumberOp + assert _test_args(NumberOp('N')) + + +def test_sympy__physics__quantum__sho1d__Hamiltonian(): + from sympy.physics.quantum.sho1d import Hamiltonian + assert _test_args(Hamiltonian('H')) + + +def test_sympy__physics__quantum__sho1d__SHOState(): + from sympy.physics.quantum.sho1d import SHOState + assert _test_args(SHOState(0)) + + +def test_sympy__physics__quantum__sho1d__SHOKet(): + from sympy.physics.quantum.sho1d import SHOKet + assert _test_args(SHOKet(0)) + + +def test_sympy__physics__quantum__sho1d__SHOBra(): + from sympy.physics.quantum.sho1d import SHOBra + assert _test_args(SHOBra(0)) + + +def test_sympy__physics__secondquant__AnnihilateBoson(): + from sympy.physics.secondquant import AnnihilateBoson + assert _test_args(AnnihilateBoson(0)) + + +def test_sympy__physics__secondquant__AnnihilateFermion(): + from sympy.physics.secondquant import AnnihilateFermion + assert _test_args(AnnihilateFermion(0)) + + +@SKIP("abstract class") +def test_sympy__physics__secondquant__Annihilator(): + pass + + +def test_sympy__physics__secondquant__AntiSymmetricTensor(): + from sympy.physics.secondquant import AntiSymmetricTensor + i, j = symbols('i j', below_fermi=True) + a, b = symbols('a b', above_fermi=True) + assert _test_args(AntiSymmetricTensor('v', (a, i), (b, j))) + + +def test_sympy__physics__secondquant__BosonState(): + from sympy.physics.secondquant import BosonState + assert _test_args(BosonState((0, 1))) + + +@SKIP("abstract class") +def test_sympy__physics__secondquant__BosonicOperator(): + pass + + +def test_sympy__physics__secondquant__Commutator(): + from sympy.physics.secondquant import Commutator + x, y = symbols('x y', commutative=False) + assert _test_args(Commutator(x, y)) + + +def test_sympy__physics__secondquant__CreateBoson(): + from sympy.physics.secondquant import CreateBoson + assert _test_args(CreateBoson(0)) + + +def test_sympy__physics__secondquant__CreateFermion(): + from sympy.physics.secondquant import CreateFermion + assert _test_args(CreateFermion(0)) + + +@SKIP("abstract class") +def test_sympy__physics__secondquant__Creator(): + pass + + +def test_sympy__physics__secondquant__Dagger(): + from sympy.physics.secondquant import Dagger + assert _test_args(Dagger(x)) + + +def test_sympy__physics__secondquant__FermionState(): + from sympy.physics.secondquant import FermionState + assert _test_args(FermionState((0, 1))) + + +def test_sympy__physics__secondquant__FermionicOperator(): + from sympy.physics.secondquant import FermionicOperator + assert _test_args(FermionicOperator(0)) + + +def test_sympy__physics__secondquant__FockState(): + from sympy.physics.secondquant import FockState + assert _test_args(FockState((0, 1))) + + +def test_sympy__physics__secondquant__FockStateBosonBra(): + from sympy.physics.secondquant import FockStateBosonBra + assert _test_args(FockStateBosonBra((0, 1))) + + +def test_sympy__physics__secondquant__FockStateBosonKet(): + from sympy.physics.secondquant import FockStateBosonKet + assert _test_args(FockStateBosonKet((0, 1))) + + +def test_sympy__physics__secondquant__FockStateBra(): + from sympy.physics.secondquant import FockStateBra + assert _test_args(FockStateBra((0, 1))) + + +def test_sympy__physics__secondquant__FockStateFermionBra(): + from sympy.physics.secondquant import FockStateFermionBra + assert _test_args(FockStateFermionBra((0, 1))) + + +def test_sympy__physics__secondquant__FockStateFermionKet(): + from sympy.physics.secondquant import FockStateFermionKet + assert _test_args(FockStateFermionKet((0, 1))) + + +def test_sympy__physics__secondquant__FockStateKet(): + from sympy.physics.secondquant import FockStateKet + assert _test_args(FockStateKet((0, 1))) + + +def test_sympy__physics__secondquant__InnerProduct(): + from sympy.physics.secondquant import InnerProduct + from sympy.physics.secondquant import FockStateKet, FockStateBra + assert _test_args(InnerProduct(FockStateBra((0, 1)), FockStateKet((0, 1)))) + + +def test_sympy__physics__secondquant__NO(): + from sympy.physics.secondquant import NO, F, Fd + assert _test_args(NO(Fd(x)*F(y))) + + +def test_sympy__physics__secondquant__PermutationOperator(): + from sympy.physics.secondquant import PermutationOperator + assert _test_args(PermutationOperator(0, 1)) + + +def test_sympy__physics__secondquant__SqOperator(): + from sympy.physics.secondquant import SqOperator + assert _test_args(SqOperator(0)) + + +def test_sympy__physics__secondquant__TensorSymbol(): + from sympy.physics.secondquant import TensorSymbol + assert _test_args(TensorSymbol(x)) + + +def test_sympy__physics__control__lti__LinearTimeInvariant(): + # Direct instances of LinearTimeInvariant class are not allowed. + # func(*args) tests for its derived classes (TransferFunction, + # Series, Parallel and TransferFunctionMatrix) should pass. + pass + + +def test_sympy__physics__control__lti__SISOLinearTimeInvariant(): + # Direct instances of SISOLinearTimeInvariant class are not allowed. + pass + + +def test_sympy__physics__control__lti__MIMOLinearTimeInvariant(): + # Direct instances of MIMOLinearTimeInvariant class are not allowed. + pass + + +def test_sympy__physics__control__lti__TransferFunction(): + from sympy.physics.control.lti import TransferFunction + assert _test_args(TransferFunction(2, 3, x)) + + +def test_sympy__physics__control__lti__Series(): + from sympy.physics.control import Series, TransferFunction + tf1 = TransferFunction(x**2 - y**3, y - z, x) + tf2 = TransferFunction(y - x, z + y, x) + assert _test_args(Series(tf1, tf2)) + + +def test_sympy__physics__control__lti__MIMOSeries(): + from sympy.physics.control import MIMOSeries, TransferFunction, TransferFunctionMatrix + tf1 = TransferFunction(x**2 - y**3, y - z, x) + tf2 = TransferFunction(y - x, z + y, x) + tfm_1 = TransferFunctionMatrix([[tf2, tf1]]) + tfm_2 = TransferFunctionMatrix([[tf1, tf2], [tf2, tf1]]) + tfm_3 = TransferFunctionMatrix([[tf1], [tf2]]) + assert _test_args(MIMOSeries(tfm_3, tfm_2, tfm_1)) + + +def test_sympy__physics__control__lti__Parallel(): + from sympy.physics.control import Parallel, TransferFunction + tf1 = TransferFunction(x**2 - y**3, y - z, x) + tf2 = TransferFunction(y - x, z + y, x) + assert _test_args(Parallel(tf1, tf2)) + + +def test_sympy__physics__control__lti__MIMOParallel(): + from sympy.physics.control import MIMOParallel, TransferFunction, TransferFunctionMatrix + tf1 = TransferFunction(x**2 - y**3, y - z, x) + tf2 = TransferFunction(y - x, z + y, x) + tfm_1 = TransferFunctionMatrix([[tf1, tf2], [tf2, tf1]]) + tfm_2 = TransferFunctionMatrix([[tf2, tf1], [tf1, tf2]]) + assert _test_args(MIMOParallel(tfm_1, tfm_2)) + + +def test_sympy__physics__control__lti__Feedback(): + from sympy.physics.control import TransferFunction, Feedback + tf1 = TransferFunction(x**2 - y**3, y - z, x) + tf2 = TransferFunction(y - x, z + y, x) + assert _test_args(Feedback(tf1, tf2)) + assert _test_args(Feedback(tf1, tf2, 1)) + + +def test_sympy__physics__control__lti__MIMOFeedback(): + from sympy.physics.control import TransferFunction, MIMOFeedback, TransferFunctionMatrix + tf1 = TransferFunction(x**2 - y**3, y - z, x) + tf2 = TransferFunction(y - x, z + y, x) + tfm_1 = TransferFunctionMatrix([[tf2, tf1], [tf1, tf2]]) + tfm_2 = TransferFunctionMatrix([[tf1, tf2], [tf2, tf1]]) + assert _test_args(MIMOFeedback(tfm_1, tfm_2)) + assert _test_args(MIMOFeedback(tfm_1, tfm_2, 1)) + + +def test_sympy__physics__control__lti__TransferFunctionMatrix(): + from sympy.physics.control import TransferFunction, TransferFunctionMatrix + tf1 = TransferFunction(x**2 - y**3, y - z, x) + tf2 = TransferFunction(y - x, z + y, x) + assert _test_args(TransferFunctionMatrix([[tf1, tf2]])) + + +def test_sympy__physics__units__dimensions__Dimension(): + from sympy.physics.units.dimensions import Dimension + assert _test_args(Dimension("length", "L")) + + +def test_sympy__physics__units__dimensions__DimensionSystem(): + from sympy.physics.units.dimensions import DimensionSystem + from sympy.physics.units.definitions.dimension_definitions import length, time, velocity + assert _test_args(DimensionSystem((length, time), (velocity,))) + + +def test_sympy__physics__units__quantities__Quantity(): + from sympy.physics.units.quantities import Quantity + assert _test_args(Quantity("dam")) + + +def test_sympy__physics__units__quantities__PhysicalConstant(): + from sympy.physics.units.quantities import PhysicalConstant + assert _test_args(PhysicalConstant("foo")) + + +def test_sympy__physics__units__prefixes__Prefix(): + from sympy.physics.units.prefixes import Prefix + assert _test_args(Prefix('kilo', 'k', 3)) + + +def test_sympy__core__numbers__AlgebraicNumber(): + from sympy.core.numbers import AlgebraicNumber + assert _test_args(AlgebraicNumber(sqrt(2), [1, 2, 3])) + + +def test_sympy__polys__polytools__GroebnerBasis(): + from sympy.polys.polytools import GroebnerBasis + assert _test_args(GroebnerBasis([x, y, z], x, y, z)) + + +def test_sympy__polys__polytools__Poly(): + from sympy.polys.polytools import Poly + assert _test_args(Poly(2, x, y)) + + +def test_sympy__polys__polytools__PurePoly(): + from sympy.polys.polytools import PurePoly + assert _test_args(PurePoly(2, x, y)) + + +@SKIP('abstract class') +def test_sympy__polys__rootoftools__RootOf(): + pass + + +def test_sympy__polys__rootoftools__ComplexRootOf(): + from sympy.polys.rootoftools import ComplexRootOf + assert _test_args(ComplexRootOf(x**3 + x + 1, 0)) + + +def test_sympy__polys__rootoftools__RootSum(): + from sympy.polys.rootoftools import RootSum + assert _test_args(RootSum(x**3 + x + 1, sin)) + + +def test_sympy__series__limits__Limit(): + from sympy.series.limits import Limit + assert _test_args(Limit(x, x, 0, dir='-')) + + +def test_sympy__series__order__Order(): + from sympy.series.order import Order + assert _test_args(Order(1, x, y)) + + +@SKIP('Abstract Class') +def test_sympy__series__sequences__SeqBase(): + pass + + +def test_sympy__series__sequences__EmptySequence(): + # Need to import the instance from series not the class from + # series.sequence + from sympy.series import EmptySequence + assert _test_args(EmptySequence) + + +@SKIP('Abstract Class') +def test_sympy__series__sequences__SeqExpr(): + pass + + +def test_sympy__series__sequences__SeqPer(): + from sympy.series.sequences import SeqPer + assert _test_args(SeqPer((1, 2, 3), (0, 10))) + + +def test_sympy__series__sequences__SeqFormula(): + from sympy.series.sequences import SeqFormula + assert _test_args(SeqFormula(x**2, (0, 10))) + + +def test_sympy__series__sequences__RecursiveSeq(): + from sympy.series.sequences import RecursiveSeq + y = Function("y") + n = symbols("n") + assert _test_args(RecursiveSeq(y(n - 1) + y(n - 2), y(n), n, (0, 1))) + assert _test_args(RecursiveSeq(y(n - 1) + y(n - 2), y(n), n)) + + +def test_sympy__series__sequences__SeqExprOp(): + from sympy.series.sequences import SeqExprOp, sequence + s1 = sequence((1, 2, 3)) + s2 = sequence(x**2) + assert _test_args(SeqExprOp(s1, s2)) + + +def test_sympy__series__sequences__SeqAdd(): + from sympy.series.sequences import SeqAdd, sequence + s1 = sequence((1, 2, 3)) + s2 = sequence(x**2) + assert _test_args(SeqAdd(s1, s2)) + + +def test_sympy__series__sequences__SeqMul(): + from sympy.series.sequences import SeqMul, sequence + s1 = sequence((1, 2, 3)) + s2 = sequence(x**2) + assert _test_args(SeqMul(s1, s2)) + + +@SKIP('Abstract Class') +def test_sympy__series__series_class__SeriesBase(): + pass + + +def test_sympy__series__fourier__FourierSeries(): + from sympy.series.fourier import fourier_series + assert _test_args(fourier_series(x, (x, -pi, pi))) + +def test_sympy__series__fourier__FiniteFourierSeries(): + from sympy.series.fourier import fourier_series + assert _test_args(fourier_series(sin(pi*x), (x, -1, 1))) + + +def test_sympy__series__formal__FormalPowerSeries(): + from sympy.series.formal import fps + assert _test_args(fps(log(1 + x), x)) + + +def test_sympy__series__formal__Coeff(): + from sympy.series.formal import fps + assert _test_args(fps(x**2 + x + 1, x)) + + +@SKIP('Abstract Class') +def test_sympy__series__formal__FiniteFormalPowerSeries(): + pass + + +def test_sympy__series__formal__FormalPowerSeriesProduct(): + from sympy.series.formal import fps + f1, f2 = fps(sin(x)), fps(exp(x)) + assert _test_args(f1.product(f2, x)) + + +def test_sympy__series__formal__FormalPowerSeriesCompose(): + from sympy.series.formal import fps + f1, f2 = fps(exp(x)), fps(sin(x)) + assert _test_args(f1.compose(f2, x)) + + +def test_sympy__series__formal__FormalPowerSeriesInverse(): + from sympy.series.formal import fps + f1 = fps(exp(x)) + assert _test_args(f1.inverse(x)) + + +def test_sympy__simplify__hyperexpand__Hyper_Function(): + from sympy.simplify.hyperexpand import Hyper_Function + assert _test_args(Hyper_Function([2], [1])) + + +def test_sympy__simplify__hyperexpand__G_Function(): + from sympy.simplify.hyperexpand import G_Function + assert _test_args(G_Function([2], [1], [], [])) + + +@SKIP("abstract class") +def test_sympy__tensor__array__ndim_array__ImmutableNDimArray(): + pass + + +def test_sympy__tensor__array__dense_ndim_array__ImmutableDenseNDimArray(): + from sympy.tensor.array.dense_ndim_array import ImmutableDenseNDimArray + densarr = ImmutableDenseNDimArray(range(10, 34), (2, 3, 4)) + assert _test_args(densarr) + + +def test_sympy__tensor__array__sparse_ndim_array__ImmutableSparseNDimArray(): + from sympy.tensor.array.sparse_ndim_array import ImmutableSparseNDimArray + sparr = ImmutableSparseNDimArray(range(10, 34), (2, 3, 4)) + assert _test_args(sparr) + + +def test_sympy__tensor__array__array_comprehension__ArrayComprehension(): + from sympy.tensor.array.array_comprehension import ArrayComprehension + arrcom = ArrayComprehension(x, (x, 1, 5)) + assert _test_args(arrcom) + +def test_sympy__tensor__array__array_comprehension__ArrayComprehensionMap(): + from sympy.tensor.array.array_comprehension import ArrayComprehensionMap + arrcomma = ArrayComprehensionMap(lambda: 0, (x, 1, 5)) + assert _test_args(arrcomma) + + +def test_sympy__tensor__array__array_derivatives__ArrayDerivative(): + from sympy.tensor.array.array_derivatives import ArrayDerivative + A = MatrixSymbol("A", 2, 2) + arrder = ArrayDerivative(A, A, evaluate=False) + assert _test_args(arrder) + +def test_sympy__tensor__array__expressions__array_expressions__ArraySymbol(): + from sympy.tensor.array.expressions.array_expressions import ArraySymbol + m, n, k = symbols("m n k") + array = ArraySymbol("A", (m, n, k, 2)) + assert _test_args(array) + +def test_sympy__tensor__array__expressions__array_expressions__ArrayElement(): + from sympy.tensor.array.expressions.array_expressions import ArrayElement + m, n, k = symbols("m n k") + ae = ArrayElement("A", (m, n, k, 2)) + assert _test_args(ae) + +def test_sympy__tensor__array__expressions__array_expressions__ZeroArray(): + from sympy.tensor.array.expressions.array_expressions import ZeroArray + m, n, k = symbols("m n k") + za = ZeroArray(m, n, k, 2) + assert _test_args(za) + +def test_sympy__tensor__array__expressions__array_expressions__OneArray(): + from sympy.tensor.array.expressions.array_expressions import OneArray + m, n, k = symbols("m n k") + za = OneArray(m, n, k, 2) + assert _test_args(za) + +def test_sympy__tensor__functions__TensorProduct(): + from sympy.tensor.functions import TensorProduct + A = MatrixSymbol('A', 3, 3) + B = MatrixSymbol('B', 3, 3) + tp = TensorProduct(A, B) + assert _test_args(tp) + + +def test_sympy__tensor__indexed__Idx(): + from sympy.tensor.indexed import Idx + assert _test_args(Idx('test')) + assert _test_args(Idx('test', (0, 10))) + assert _test_args(Idx('test', 2)) + assert _test_args(Idx('test', x)) + + +def test_sympy__tensor__indexed__Indexed(): + from sympy.tensor.indexed import Indexed, Idx + assert _test_args(Indexed('A', Idx('i'), Idx('j'))) + + +def test_sympy__tensor__indexed__IndexedBase(): + from sympy.tensor.indexed import IndexedBase + assert _test_args(IndexedBase('A', shape=(x, y))) + assert _test_args(IndexedBase('A', 1)) + assert _test_args(IndexedBase('A')[0, 1]) + + +def test_sympy__tensor__tensor__TensorIndexType(): + from sympy.tensor.tensor import TensorIndexType + assert _test_args(TensorIndexType('Lorentz')) + + +@SKIP("deprecated class") +def test_sympy__tensor__tensor__TensorType(): + pass + + +def test_sympy__tensor__tensor__TensorSymmetry(): + from sympy.tensor.tensor import TensorSymmetry, get_symmetric_group_sgs + assert _test_args(TensorSymmetry(get_symmetric_group_sgs(2))) + + +def test_sympy__tensor__tensor__TensorHead(): + from sympy.tensor.tensor import TensorIndexType, TensorSymmetry, get_symmetric_group_sgs, TensorHead + Lorentz = TensorIndexType('Lorentz', dummy_name='L') + sym = TensorSymmetry(get_symmetric_group_sgs(1)) + assert _test_args(TensorHead('p', [Lorentz], sym, 0)) + + +def test_sympy__tensor__tensor__TensorIndex(): + from sympy.tensor.tensor import TensorIndexType, TensorIndex + Lorentz = TensorIndexType('Lorentz', dummy_name='L') + assert _test_args(TensorIndex('i', Lorentz)) + +@SKIP("abstract class") +def test_sympy__tensor__tensor__TensExpr(): + pass + +def test_sympy__tensor__tensor__TensAdd(): + from sympy.tensor.tensor import TensorIndexType, TensorSymmetry, get_symmetric_group_sgs, tensor_indices, TensAdd, tensor_heads + Lorentz = TensorIndexType('Lorentz', dummy_name='L') + a, b = tensor_indices('a,b', Lorentz) + sym = TensorSymmetry(get_symmetric_group_sgs(1)) + p, q = tensor_heads('p,q', [Lorentz], sym) + t1 = p(a) + t2 = q(a) + assert _test_args(TensAdd(t1, t2)) + + +def test_sympy__tensor__tensor__Tensor(): + from sympy.tensor.tensor import TensorIndexType, TensorSymmetry, get_symmetric_group_sgs, tensor_indices, TensorHead + Lorentz = TensorIndexType('Lorentz', dummy_name='L') + a, b = tensor_indices('a,b', Lorentz) + sym = TensorSymmetry(get_symmetric_group_sgs(1)) + p = TensorHead('p', [Lorentz], sym) + assert _test_args(p(a)) + + +def test_sympy__tensor__tensor__TensMul(): + from sympy.tensor.tensor import TensorIndexType, TensorSymmetry, get_symmetric_group_sgs, tensor_indices, tensor_heads + Lorentz = TensorIndexType('Lorentz', dummy_name='L') + a, b = tensor_indices('a,b', Lorentz) + sym = TensorSymmetry(get_symmetric_group_sgs(1)) + p, q = tensor_heads('p, q', [Lorentz], sym) + assert _test_args(3*p(a)*q(b)) + + +def test_sympy__tensor__tensor__TensorElement(): + from sympy.tensor.tensor import TensorIndexType, TensorHead, TensorElement + L = TensorIndexType("L") + A = TensorHead("A", [L, L]) + telem = TensorElement(A(x, y), {x: 1}) + assert _test_args(telem) + +def test_sympy__tensor__tensor__WildTensor(): + from sympy.tensor.tensor import TensorIndexType, WildTensorHead, TensorIndex + Lorentz = TensorIndexType('Lorentz', dummy_name='L') + a = TensorIndex('a', Lorentz) + p = WildTensorHead('p') + assert _test_args(p(a)) + +def test_sympy__tensor__tensor__WildTensorHead(): + from sympy.tensor.tensor import WildTensorHead + assert _test_args(WildTensorHead('p')) + +def test_sympy__tensor__tensor__WildTensorIndex(): + from sympy.tensor.tensor import TensorIndexType, WildTensorIndex + Lorentz = TensorIndexType('Lorentz', dummy_name='L') + assert _test_args(WildTensorIndex('i', Lorentz)) + +def test_sympy__tensor__toperators__PartialDerivative(): + from sympy.tensor.tensor import TensorIndexType, tensor_indices, TensorHead + from sympy.tensor.toperators import PartialDerivative + Lorentz = TensorIndexType('Lorentz', dummy_name='L') + a, b = tensor_indices('a,b', Lorentz) + A = TensorHead("A", [Lorentz]) + assert _test_args(PartialDerivative(A(a), A(b))) + + +def test_as_coeff_add(): + assert (7, (3*x, 4*x**2)) == (7 + 3*x + 4*x**2).as_coeff_add() + + +def test_sympy__geometry__curve__Curve(): + from sympy.geometry.curve import Curve + assert _test_args(Curve((x, 1), (x, 0, 1))) + + +def test_sympy__geometry__point__Point(): + from sympy.geometry.point import Point + assert _test_args(Point(0, 1)) + + +def test_sympy__geometry__point__Point2D(): + from sympy.geometry.point import Point2D + assert _test_args(Point2D(0, 1)) + + +def test_sympy__geometry__point__Point3D(): + from sympy.geometry.point import Point3D + assert _test_args(Point3D(0, 1, 2)) + + +def test_sympy__geometry__ellipse__Ellipse(): + from sympy.geometry.ellipse import Ellipse + assert _test_args(Ellipse((0, 1), 2, 3)) + + +def test_sympy__geometry__ellipse__Circle(): + from sympy.geometry.ellipse import Circle + assert _test_args(Circle((0, 1), 2)) + + +def test_sympy__geometry__parabola__Parabola(): + from sympy.geometry.parabola import Parabola + from sympy.geometry.line import Line + assert _test_args(Parabola((0, 0), Line((2, 3), (4, 3)))) + + +@SKIP("abstract class") +def test_sympy__geometry__line__LinearEntity(): + pass + + +def test_sympy__geometry__line__Line(): + from sympy.geometry.line import Line + assert _test_args(Line((0, 1), (2, 3))) + + +def test_sympy__geometry__line__Ray(): + from sympy.geometry.line import Ray + assert _test_args(Ray((0, 1), (2, 3))) + + +def test_sympy__geometry__line__Segment(): + from sympy.geometry.line import Segment + assert _test_args(Segment((0, 1), (2, 3))) + +@SKIP("abstract class") +def test_sympy__geometry__line__LinearEntity2D(): + pass + + +def test_sympy__geometry__line__Line2D(): + from sympy.geometry.line import Line2D + assert _test_args(Line2D((0, 1), (2, 3))) + + +def test_sympy__geometry__line__Ray2D(): + from sympy.geometry.line import Ray2D + assert _test_args(Ray2D((0, 1), (2, 3))) + + +def test_sympy__geometry__line__Segment2D(): + from sympy.geometry.line import Segment2D + assert _test_args(Segment2D((0, 1), (2, 3))) + + +@SKIP("abstract class") +def test_sympy__geometry__line__LinearEntity3D(): + pass + + +def test_sympy__geometry__line__Line3D(): + from sympy.geometry.line import Line3D + assert _test_args(Line3D((0, 1, 1), (2, 3, 4))) + + +def test_sympy__geometry__line__Segment3D(): + from sympy.geometry.line import Segment3D + assert _test_args(Segment3D((0, 1, 1), (2, 3, 4))) + + +def test_sympy__geometry__line__Ray3D(): + from sympy.geometry.line import Ray3D + assert _test_args(Ray3D((0, 1, 1), (2, 3, 4))) + + +def test_sympy__geometry__plane__Plane(): + from sympy.geometry.plane import Plane + assert _test_args(Plane((1, 1, 1), (-3, 4, -2), (1, 2, 3))) + + +def test_sympy__geometry__polygon__Polygon(): + from sympy.geometry.polygon import Polygon + assert _test_args(Polygon((0, 1), (2, 3), (4, 5), (6, 7))) + + +def test_sympy__geometry__polygon__RegularPolygon(): + from sympy.geometry.polygon import RegularPolygon + assert _test_args(RegularPolygon((0, 1), 2, 3, 4)) + + +def test_sympy__geometry__polygon__Triangle(): + from sympy.geometry.polygon import Triangle + assert _test_args(Triangle((0, 1), (2, 3), (4, 5))) + + +def test_sympy__geometry__entity__GeometryEntity(): + from sympy.geometry.entity import GeometryEntity + from sympy.geometry.point import Point + assert _test_args(GeometryEntity(Point(1, 0), 1, [1, 2])) + +@SKIP("abstract class") +def test_sympy__geometry__entity__GeometrySet(): + pass + +def test_sympy__diffgeom__diffgeom__Manifold(): + from sympy.diffgeom import Manifold + assert _test_args(Manifold('name', 3)) + + +def test_sympy__diffgeom__diffgeom__Patch(): + from sympy.diffgeom import Manifold, Patch + assert _test_args(Patch('name', Manifold('name', 3))) + + +def test_sympy__diffgeom__diffgeom__CoordSystem(): + from sympy.diffgeom import Manifold, Patch, CoordSystem + assert _test_args(CoordSystem('name', Patch('name', Manifold('name', 3)))) + assert _test_args(CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c])) + + +def test_sympy__diffgeom__diffgeom__CoordinateSymbol(): + from sympy.diffgeom import Manifold, Patch, CoordSystem, CoordinateSymbol + assert _test_args(CoordinateSymbol(CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c]), 0)) + + +def test_sympy__diffgeom__diffgeom__Point(): + from sympy.diffgeom import Manifold, Patch, CoordSystem, Point + assert _test_args(Point( + CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c]), [x, y])) + + +def test_sympy__diffgeom__diffgeom__BaseScalarField(): + from sympy.diffgeom import Manifold, Patch, CoordSystem, BaseScalarField + cs = CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c]) + assert _test_args(BaseScalarField(cs, 0)) + + +def test_sympy__diffgeom__diffgeom__BaseVectorField(): + from sympy.diffgeom import Manifold, Patch, CoordSystem, BaseVectorField + cs = CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c]) + assert _test_args(BaseVectorField(cs, 0)) + + +def test_sympy__diffgeom__diffgeom__Differential(): + from sympy.diffgeom import Manifold, Patch, CoordSystem, BaseScalarField, Differential + cs = CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c]) + assert _test_args(Differential(BaseScalarField(cs, 0))) + + +def test_sympy__diffgeom__diffgeom__Commutator(): + from sympy.diffgeom import Manifold, Patch, CoordSystem, BaseVectorField, Commutator + cs = CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c]) + cs1 = CoordSystem('name1', Patch('name', Manifold('name', 3)), [a, b, c]) + v = BaseVectorField(cs, 0) + v1 = BaseVectorField(cs1, 0) + assert _test_args(Commutator(v, v1)) + + +def test_sympy__diffgeom__diffgeom__TensorProduct(): + from sympy.diffgeom import Manifold, Patch, CoordSystem, BaseScalarField, Differential, TensorProduct + cs = CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c]) + d = Differential(BaseScalarField(cs, 0)) + assert _test_args(TensorProduct(d, d)) + + +def test_sympy__diffgeom__diffgeom__WedgeProduct(): + from sympy.diffgeom import Manifold, Patch, CoordSystem, BaseScalarField, Differential, WedgeProduct + cs = CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c]) + d = Differential(BaseScalarField(cs, 0)) + d1 = Differential(BaseScalarField(cs, 1)) + assert _test_args(WedgeProduct(d, d1)) + + +def test_sympy__diffgeom__diffgeom__LieDerivative(): + from sympy.diffgeom import Manifold, Patch, CoordSystem, BaseScalarField, Differential, BaseVectorField, LieDerivative + cs = CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c]) + d = Differential(BaseScalarField(cs, 0)) + v = BaseVectorField(cs, 0) + assert _test_args(LieDerivative(v, d)) + + +def test_sympy__diffgeom__diffgeom__BaseCovarDerivativeOp(): + from sympy.diffgeom import Manifold, Patch, CoordSystem, BaseCovarDerivativeOp + cs = CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c]) + assert _test_args(BaseCovarDerivativeOp(cs, 0, [[[0, ]*3, ]*3, ]*3)) + + +def test_sympy__diffgeom__diffgeom__CovarDerivativeOp(): + from sympy.diffgeom import Manifold, Patch, CoordSystem, BaseVectorField, CovarDerivativeOp + cs = CoordSystem('name', Patch('name', Manifold('name', 3)), [a, b, c]) + v = BaseVectorField(cs, 0) + _test_args(CovarDerivativeOp(v, [[[0, ]*3, ]*3, ]*3)) + + +def test_sympy__categories__baseclasses__Class(): + from sympy.categories.baseclasses import Class + assert _test_args(Class()) + + +def test_sympy__categories__baseclasses__Object(): + from sympy.categories import Object + assert _test_args(Object("A")) + + +@SKIP("abstract class") +def test_sympy__categories__baseclasses__Morphism(): + pass + + +def test_sympy__categories__baseclasses__IdentityMorphism(): + from sympy.categories import Object, IdentityMorphism + assert _test_args(IdentityMorphism(Object("A"))) + + +def test_sympy__categories__baseclasses__NamedMorphism(): + from sympy.categories import Object, NamedMorphism + assert _test_args(NamedMorphism(Object("A"), Object("B"), "f")) + + +def test_sympy__categories__baseclasses__CompositeMorphism(): + from sympy.categories import Object, NamedMorphism, CompositeMorphism + A = Object("A") + B = Object("B") + C = Object("C") + f = NamedMorphism(A, B, "f") + g = NamedMorphism(B, C, "g") + assert _test_args(CompositeMorphism(f, g)) + + +def test_sympy__categories__baseclasses__Diagram(): + from sympy.categories import Object, NamedMorphism, Diagram + A = Object("A") + B = Object("B") + f = NamedMorphism(A, B, "f") + d = Diagram([f]) + assert _test_args(d) + + +def test_sympy__categories__baseclasses__Category(): + from sympy.categories import Object, NamedMorphism, Diagram, Category + A = Object("A") + B = Object("B") + C = Object("C") + f = NamedMorphism(A, B, "f") + g = NamedMorphism(B, C, "g") + d1 = Diagram([f, g]) + d2 = Diagram([f]) + K = Category("K", commutative_diagrams=[d1, d2]) + assert _test_args(K) + + +def test_sympy__ntheory__factor___totient(): + from sympy.ntheory.factor_ import totient + k = symbols('k', integer=True) + t = totient(k) + assert _test_args(t) + + +def test_sympy__ntheory__factor___reduced_totient(): + from sympy.ntheory.factor_ import reduced_totient + k = symbols('k', integer=True) + t = reduced_totient(k) + assert _test_args(t) + + +def test_sympy__ntheory__factor___divisor_sigma(): + from sympy.ntheory.factor_ import divisor_sigma + k = symbols('k', integer=True) + n = symbols('n', integer=True) + t = divisor_sigma(n, k) + assert _test_args(t) + + +def test_sympy__ntheory__factor___udivisor_sigma(): + from sympy.ntheory.factor_ import udivisor_sigma + k = symbols('k', integer=True) + n = symbols('n', integer=True) + t = udivisor_sigma(n, k) + assert _test_args(t) + + +def test_sympy__ntheory__factor___primenu(): + from sympy.ntheory.factor_ import primenu + n = symbols('n', integer=True) + t = primenu(n) + assert _test_args(t) + + +def test_sympy__ntheory__factor___primeomega(): + from sympy.ntheory.factor_ import primeomega + n = symbols('n', integer=True) + t = primeomega(n) + assert _test_args(t) + + +def test_sympy__ntheory__residue_ntheory__mobius(): + from sympy.ntheory import mobius + assert _test_args(mobius(2)) + + +def test_sympy__ntheory__generate__primepi(): + from sympy.ntheory import primepi + n = symbols('n') + t = primepi(n) + assert _test_args(t) + + +def test_sympy__physics__optics__waves__TWave(): + from sympy.physics.optics import TWave + A, f, phi = symbols('A, f, phi') + assert _test_args(TWave(A, f, phi)) + + +def test_sympy__physics__optics__gaussopt__BeamParameter(): + from sympy.physics.optics import BeamParameter + assert _test_args(BeamParameter(530e-9, 1, w=1e-3, n=1)) + + +def test_sympy__physics__optics__medium__Medium(): + from sympy.physics.optics import Medium + assert _test_args(Medium('m')) + + +def test_sympy__physics__optics__medium__MediumN(): + from sympy.physics.optics.medium import Medium + assert _test_args(Medium('m', n=2)) + + +def test_sympy__physics__optics__medium__MediumPP(): + from sympy.physics.optics.medium import Medium + assert _test_args(Medium('m', permittivity=2, permeability=2)) + + +def test_sympy__tensor__array__expressions__array_expressions__ArrayContraction(): + from sympy.tensor.array.expressions.array_expressions import ArrayContraction + from sympy.tensor.indexed import IndexedBase + A = symbols("A", cls=IndexedBase) + assert _test_args(ArrayContraction(A, (0, 1))) + + +def test_sympy__tensor__array__expressions__array_expressions__ArrayDiagonal(): + from sympy.tensor.array.expressions.array_expressions import ArrayDiagonal + from sympy.tensor.indexed import IndexedBase + A = symbols("A", cls=IndexedBase) + assert _test_args(ArrayDiagonal(A, (0, 1))) + + +def test_sympy__tensor__array__expressions__array_expressions__ArrayTensorProduct(): + from sympy.tensor.array.expressions.array_expressions import ArrayTensorProduct + from sympy.tensor.indexed import IndexedBase + A, B = symbols("A B", cls=IndexedBase) + assert _test_args(ArrayTensorProduct(A, B)) + + +def test_sympy__tensor__array__expressions__array_expressions__ArrayAdd(): + from sympy.tensor.array.expressions.array_expressions import ArrayAdd + from sympy.tensor.indexed import IndexedBase + A, B = symbols("A B", cls=IndexedBase) + assert _test_args(ArrayAdd(A, B)) + + +def test_sympy__tensor__array__expressions__array_expressions__PermuteDims(): + from sympy.tensor.array.expressions.array_expressions import PermuteDims + A = MatrixSymbol("A", 4, 4) + assert _test_args(PermuteDims(A, (1, 0))) + + +def test_sympy__tensor__array__expressions__array_expressions__ArrayElementwiseApplyFunc(): + from sympy.tensor.array.expressions.array_expressions import ArraySymbol, ArrayElementwiseApplyFunc + A = ArraySymbol("A", (4,)) + assert _test_args(ArrayElementwiseApplyFunc(exp, A)) + + +def test_sympy__tensor__array__expressions__array_expressions__Reshape(): + from sympy.tensor.array.expressions.array_expressions import ArraySymbol, Reshape + A = ArraySymbol("A", (4,)) + assert _test_args(Reshape(A, (2, 2))) + + +def test_sympy__codegen__ast__Assignment(): + from sympy.codegen.ast import Assignment + assert _test_args(Assignment(x, y)) + + +def test_sympy__codegen__cfunctions__expm1(): + from sympy.codegen.cfunctions import expm1 + assert _test_args(expm1(x)) + + +def test_sympy__codegen__cfunctions__log1p(): + from sympy.codegen.cfunctions import log1p + assert _test_args(log1p(x)) + + +def test_sympy__codegen__cfunctions__exp2(): + from sympy.codegen.cfunctions import exp2 + assert _test_args(exp2(x)) + + +def test_sympy__codegen__cfunctions__log2(): + from sympy.codegen.cfunctions import log2 + assert _test_args(log2(x)) + + +def test_sympy__codegen__cfunctions__fma(): + from sympy.codegen.cfunctions import fma + assert _test_args(fma(x, y, z)) + + +def test_sympy__codegen__cfunctions__log10(): + from sympy.codegen.cfunctions import log10 + assert _test_args(log10(x)) + + +def test_sympy__codegen__cfunctions__Sqrt(): + from sympy.codegen.cfunctions import Sqrt + assert _test_args(Sqrt(x)) + +def test_sympy__codegen__cfunctions__Cbrt(): + from sympy.codegen.cfunctions import Cbrt + assert _test_args(Cbrt(x)) + +def test_sympy__codegen__cfunctions__hypot(): + from sympy.codegen.cfunctions import hypot + assert _test_args(hypot(x, y)) + + +def test_sympy__codegen__fnodes__FFunction(): + from sympy.codegen.fnodes import FFunction + assert _test_args(FFunction('f')) + + +def test_sympy__codegen__fnodes__F95Function(): + from sympy.codegen.fnodes import F95Function + assert _test_args(F95Function('f')) + + +def test_sympy__codegen__fnodes__isign(): + from sympy.codegen.fnodes import isign + assert _test_args(isign(1, x)) + + +def test_sympy__codegen__fnodes__dsign(): + from sympy.codegen.fnodes import dsign + assert _test_args(dsign(1, x)) + + +def test_sympy__codegen__fnodes__cmplx(): + from sympy.codegen.fnodes import cmplx + assert _test_args(cmplx(x, y)) + + +def test_sympy__codegen__fnodes__kind(): + from sympy.codegen.fnodes import kind + assert _test_args(kind(x)) + + +def test_sympy__codegen__fnodes__merge(): + from sympy.codegen.fnodes import merge + assert _test_args(merge(1, 2, Eq(x, 0))) + + +def test_sympy__codegen__fnodes___literal(): + from sympy.codegen.fnodes import _literal + assert _test_args(_literal(1)) + + +def test_sympy__codegen__fnodes__literal_sp(): + from sympy.codegen.fnodes import literal_sp + assert _test_args(literal_sp(1)) + + +def test_sympy__codegen__fnodes__literal_dp(): + from sympy.codegen.fnodes import literal_dp + assert _test_args(literal_dp(1)) + + +def test_sympy__codegen__matrix_nodes__MatrixSolve(): + from sympy.matrices import MatrixSymbol + from sympy.codegen.matrix_nodes import MatrixSolve + A = MatrixSymbol('A', 3, 3) + v = MatrixSymbol('x', 3, 1) + assert _test_args(MatrixSolve(A, v)) + + +def test_sympy__vector__coordsysrect__CoordSys3D(): + from sympy.vector.coordsysrect import CoordSys3D + assert _test_args(CoordSys3D('C')) + + +def test_sympy__vector__point__Point(): + from sympy.vector.point import Point + assert _test_args(Point('P')) + + +def test_sympy__vector__basisdependent__BasisDependent(): + #from sympy.vector.basisdependent import BasisDependent + #These classes have been created to maintain an OOP hierarchy + #for Vectors and Dyadics. Are NOT meant to be initialized + pass + + +def test_sympy__vector__basisdependent__BasisDependentMul(): + #from sympy.vector.basisdependent import BasisDependentMul + #These classes have been created to maintain an OOP hierarchy + #for Vectors and Dyadics. Are NOT meant to be initialized + pass + + +def test_sympy__vector__basisdependent__BasisDependentAdd(): + #from sympy.vector.basisdependent import BasisDependentAdd + #These classes have been created to maintain an OOP hierarchy + #for Vectors and Dyadics. Are NOT meant to be initialized + pass + + +def test_sympy__vector__basisdependent__BasisDependentZero(): + #from sympy.vector.basisdependent import BasisDependentZero + #These classes have been created to maintain an OOP hierarchy + #for Vectors and Dyadics. Are NOT meant to be initialized + pass + + +def test_sympy__vector__vector__BaseVector(): + from sympy.vector.vector import BaseVector + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + assert _test_args(BaseVector(0, C, ' ', ' ')) + + +def test_sympy__vector__vector__VectorAdd(): + from sympy.vector.vector import VectorAdd, VectorMul + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + from sympy.abc import a, b, c, x, y, z + v1 = a*C.i + b*C.j + c*C.k + v2 = x*C.i + y*C.j + z*C.k + assert _test_args(VectorAdd(v1, v2)) + assert _test_args(VectorMul(x, v1)) + + +def test_sympy__vector__vector__VectorMul(): + from sympy.vector.vector import VectorMul + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + from sympy.abc import a + assert _test_args(VectorMul(a, C.i)) + + +def test_sympy__vector__vector__VectorZero(): + from sympy.vector.vector import VectorZero + assert _test_args(VectorZero()) + + +def test_sympy__vector__vector__Vector(): + #from sympy.vector.vector import Vector + #Vector is never to be initialized using args + pass + + +def test_sympy__vector__vector__Cross(): + from sympy.vector.vector import Cross + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + _test_args(Cross(C.i, C.j)) + + +def test_sympy__vector__vector__Dot(): + from sympy.vector.vector import Dot + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + _test_args(Dot(C.i, C.j)) + + +def test_sympy__vector__dyadic__Dyadic(): + #from sympy.vector.dyadic import Dyadic + #Dyadic is never to be initialized using args + pass + + +def test_sympy__vector__dyadic__BaseDyadic(): + from sympy.vector.dyadic import BaseDyadic + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + assert _test_args(BaseDyadic(C.i, C.j)) + + +def test_sympy__vector__dyadic__DyadicMul(): + from sympy.vector.dyadic import BaseDyadic, DyadicMul + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + assert _test_args(DyadicMul(3, BaseDyadic(C.i, C.j))) + + +def test_sympy__vector__dyadic__DyadicAdd(): + from sympy.vector.dyadic import BaseDyadic, DyadicAdd + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + assert _test_args(2 * DyadicAdd(BaseDyadic(C.i, C.i), + BaseDyadic(C.i, C.j))) + + +def test_sympy__vector__dyadic__DyadicZero(): + from sympy.vector.dyadic import DyadicZero + assert _test_args(DyadicZero()) + + +def test_sympy__vector__deloperator__Del(): + from sympy.vector.deloperator import Del + assert _test_args(Del()) + + +def test_sympy__vector__implicitregion__ImplicitRegion(): + from sympy.vector.implicitregion import ImplicitRegion + from sympy.abc import x, y + assert _test_args(ImplicitRegion((x, y), y**3 - 4*x)) + + +def test_sympy__vector__integrals__ParametricIntegral(): + from sympy.vector.integrals import ParametricIntegral + from sympy.vector.parametricregion import ParametricRegion + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + assert _test_args(ParametricIntegral(C.y*C.i - 10*C.j,\ + ParametricRegion((x, y), (x, 1, 3), (y, -2, 2)))) + +def test_sympy__vector__operators__Curl(): + from sympy.vector.operators import Curl + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + assert _test_args(Curl(C.i)) + + +def test_sympy__vector__operators__Laplacian(): + from sympy.vector.operators import Laplacian + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + assert _test_args(Laplacian(C.i)) + + +def test_sympy__vector__operators__Divergence(): + from sympy.vector.operators import Divergence + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + assert _test_args(Divergence(C.i)) + + +def test_sympy__vector__operators__Gradient(): + from sympy.vector.operators import Gradient + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + assert _test_args(Gradient(C.x)) + + +def test_sympy__vector__orienters__Orienter(): + #from sympy.vector.orienters import Orienter + #Not to be initialized + pass + + +def test_sympy__vector__orienters__ThreeAngleOrienter(): + #from sympy.vector.orienters import ThreeAngleOrienter + #Not to be initialized + pass + + +def test_sympy__vector__orienters__AxisOrienter(): + from sympy.vector.orienters import AxisOrienter + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + assert _test_args(AxisOrienter(x, C.i)) + + +def test_sympy__vector__orienters__BodyOrienter(): + from sympy.vector.orienters import BodyOrienter + assert _test_args(BodyOrienter(x, y, z, '123')) + + +def test_sympy__vector__orienters__SpaceOrienter(): + from sympy.vector.orienters import SpaceOrienter + assert _test_args(SpaceOrienter(x, y, z, '123')) + + +def test_sympy__vector__orienters__QuaternionOrienter(): + from sympy.vector.orienters import QuaternionOrienter + a, b, c, d = symbols('a b c d') + assert _test_args(QuaternionOrienter(a, b, c, d)) + + +def test_sympy__vector__parametricregion__ParametricRegion(): + from sympy.abc import t + from sympy.vector.parametricregion import ParametricRegion + assert _test_args(ParametricRegion((t, t**3), (t, 0, 2))) + + +def test_sympy__vector__scalar__BaseScalar(): + from sympy.vector.scalar import BaseScalar + from sympy.vector.coordsysrect import CoordSys3D + C = CoordSys3D('C') + assert _test_args(BaseScalar(0, C, ' ', ' ')) + + +def test_sympy__physics__wigner__Wigner3j(): + from sympy.physics.wigner import Wigner3j + assert _test_args(Wigner3j(0, 0, 0, 0, 0, 0)) + + +def test_sympy__combinatorics__schur_number__SchurNumber(): + from sympy.combinatorics.schur_number import SchurNumber + assert _test_args(SchurNumber(x)) + + +def test_sympy__combinatorics__perm_groups__SymmetricPermutationGroup(): + from sympy.combinatorics.perm_groups import SymmetricPermutationGroup + assert _test_args(SymmetricPermutationGroup(5)) + + +def test_sympy__combinatorics__perm_groups__Coset(): + from sympy.combinatorics.permutations import Permutation + from sympy.combinatorics.perm_groups import PermutationGroup, Coset + a = Permutation(1, 2) + b = Permutation(0, 1) + G = PermutationGroup([a, b]) + assert _test_args(Coset(a, G))