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486 lines
12 KiB
486 lines
12 KiB
"""Tests for options manager for :class:`Poly` and public API functions. """
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from sympy.polys.polyoptions import (
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Options, Expand, Gens, Wrt, Sort, Order, Field, Greedy, Domain,
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Split, Gaussian, Extension, Modulus, Symmetric, Strict, Auto,
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Frac, Formal, Polys, Include, All, Gen, Symbols, Method)
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from sympy.polys.orderings import lex
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from sympy.polys.domains import FF, GF, ZZ, QQ, QQ_I, RR, CC, EX
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from sympy.polys.polyerrors import OptionError, GeneratorsError
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from sympy.core.numbers import (I, Integer)
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from sympy.core.symbol import Symbol
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from sympy.functions.elementary.miscellaneous import sqrt
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from sympy.testing.pytest import raises
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from sympy.abc import x, y, z
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def test_Options_clone():
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opt = Options((x, y, z), {'domain': 'ZZ'})
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assert opt.gens == (x, y, z)
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assert opt.domain == ZZ
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assert ('order' in opt) is False
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new_opt = opt.clone({'gens': (x, y), 'order': 'lex'})
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assert opt.gens == (x, y, z)
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assert opt.domain == ZZ
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assert ('order' in opt) is False
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assert new_opt.gens == (x, y)
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assert new_opt.domain == ZZ
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assert ('order' in new_opt) is True
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def test_Expand_preprocess():
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assert Expand.preprocess(False) is False
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assert Expand.preprocess(True) is True
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assert Expand.preprocess(0) is False
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assert Expand.preprocess(1) is True
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raises(OptionError, lambda: Expand.preprocess(x))
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def test_Expand_postprocess():
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opt = {'expand': True}
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Expand.postprocess(opt)
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assert opt == {'expand': True}
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def test_Gens_preprocess():
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assert Gens.preprocess((None,)) == ()
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assert Gens.preprocess((x, y, z)) == (x, y, z)
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assert Gens.preprocess(((x, y, z),)) == (x, y, z)
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a = Symbol('a', commutative=False)
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raises(GeneratorsError, lambda: Gens.preprocess((x, x, y)))
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raises(GeneratorsError, lambda: Gens.preprocess((x, y, a)))
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def test_Gens_postprocess():
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opt = {'gens': (x, y)}
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Gens.postprocess(opt)
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assert opt == {'gens': (x, y)}
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def test_Wrt_preprocess():
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assert Wrt.preprocess(x) == ['x']
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assert Wrt.preprocess('') == []
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assert Wrt.preprocess(' ') == []
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assert Wrt.preprocess('x,y') == ['x', 'y']
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assert Wrt.preprocess('x y') == ['x', 'y']
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assert Wrt.preprocess('x, y') == ['x', 'y']
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assert Wrt.preprocess('x , y') == ['x', 'y']
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assert Wrt.preprocess(' x, y') == ['x', 'y']
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assert Wrt.preprocess(' x, y') == ['x', 'y']
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assert Wrt.preprocess([x, y]) == ['x', 'y']
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raises(OptionError, lambda: Wrt.preprocess(','))
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raises(OptionError, lambda: Wrt.preprocess(0))
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def test_Wrt_postprocess():
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opt = {'wrt': ['x']}
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Wrt.postprocess(opt)
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assert opt == {'wrt': ['x']}
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def test_Sort_preprocess():
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assert Sort.preprocess([x, y, z]) == ['x', 'y', 'z']
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assert Sort.preprocess((x, y, z)) == ['x', 'y', 'z']
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assert Sort.preprocess('x > y > z') == ['x', 'y', 'z']
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assert Sort.preprocess('x>y>z') == ['x', 'y', 'z']
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raises(OptionError, lambda: Sort.preprocess(0))
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raises(OptionError, lambda: Sort.preprocess({x, y, z}))
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def test_Sort_postprocess():
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opt = {'sort': 'x > y'}
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Sort.postprocess(opt)
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assert opt == {'sort': 'x > y'}
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def test_Order_preprocess():
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assert Order.preprocess('lex') == lex
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def test_Order_postprocess():
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opt = {'order': True}
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Order.postprocess(opt)
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assert opt == {'order': True}
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def test_Field_preprocess():
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assert Field.preprocess(False) is False
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assert Field.preprocess(True) is True
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assert Field.preprocess(0) is False
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assert Field.preprocess(1) is True
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raises(OptionError, lambda: Field.preprocess(x))
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def test_Field_postprocess():
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opt = {'field': True}
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Field.postprocess(opt)
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assert opt == {'field': True}
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def test_Greedy_preprocess():
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assert Greedy.preprocess(False) is False
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assert Greedy.preprocess(True) is True
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assert Greedy.preprocess(0) is False
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assert Greedy.preprocess(1) is True
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raises(OptionError, lambda: Greedy.preprocess(x))
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def test_Greedy_postprocess():
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opt = {'greedy': True}
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Greedy.postprocess(opt)
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assert opt == {'greedy': True}
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def test_Domain_preprocess():
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assert Domain.preprocess(ZZ) == ZZ
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assert Domain.preprocess(QQ) == QQ
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assert Domain.preprocess(EX) == EX
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assert Domain.preprocess(FF(2)) == FF(2)
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assert Domain.preprocess(ZZ[x, y]) == ZZ[x, y]
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assert Domain.preprocess('Z') == ZZ
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assert Domain.preprocess('Q') == QQ
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assert Domain.preprocess('ZZ') == ZZ
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assert Domain.preprocess('QQ') == QQ
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assert Domain.preprocess('EX') == EX
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assert Domain.preprocess('FF(23)') == FF(23)
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assert Domain.preprocess('GF(23)') == GF(23)
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raises(OptionError, lambda: Domain.preprocess('Z[]'))
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assert Domain.preprocess('Z[x]') == ZZ[x]
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assert Domain.preprocess('Q[x]') == QQ[x]
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assert Domain.preprocess('R[x]') == RR[x]
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assert Domain.preprocess('C[x]') == CC[x]
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assert Domain.preprocess('ZZ[x]') == ZZ[x]
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assert Domain.preprocess('QQ[x]') == QQ[x]
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assert Domain.preprocess('RR[x]') == RR[x]
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assert Domain.preprocess('CC[x]') == CC[x]
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assert Domain.preprocess('Z[x,y]') == ZZ[x, y]
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assert Domain.preprocess('Q[x,y]') == QQ[x, y]
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assert Domain.preprocess('R[x,y]') == RR[x, y]
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assert Domain.preprocess('C[x,y]') == CC[x, y]
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assert Domain.preprocess('ZZ[x,y]') == ZZ[x, y]
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assert Domain.preprocess('QQ[x,y]') == QQ[x, y]
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assert Domain.preprocess('RR[x,y]') == RR[x, y]
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assert Domain.preprocess('CC[x,y]') == CC[x, y]
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raises(OptionError, lambda: Domain.preprocess('Z()'))
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assert Domain.preprocess('Z(x)') == ZZ.frac_field(x)
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assert Domain.preprocess('Q(x)') == QQ.frac_field(x)
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assert Domain.preprocess('ZZ(x)') == ZZ.frac_field(x)
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assert Domain.preprocess('QQ(x)') == QQ.frac_field(x)
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assert Domain.preprocess('Z(x,y)') == ZZ.frac_field(x, y)
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assert Domain.preprocess('Q(x,y)') == QQ.frac_field(x, y)
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assert Domain.preprocess('ZZ(x,y)') == ZZ.frac_field(x, y)
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assert Domain.preprocess('QQ(x,y)') == QQ.frac_field(x, y)
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assert Domain.preprocess('Q<I>') == QQ.algebraic_field(I)
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assert Domain.preprocess('QQ<I>') == QQ.algebraic_field(I)
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assert Domain.preprocess('Q<sqrt(2), I>') == QQ.algebraic_field(sqrt(2), I)
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assert Domain.preprocess(
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'QQ<sqrt(2), I>') == QQ.algebraic_field(sqrt(2), I)
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raises(OptionError, lambda: Domain.preprocess('abc'))
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def test_Domain_postprocess():
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raises(GeneratorsError, lambda: Domain.postprocess({'gens': (x, y),
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'domain': ZZ[y, z]}))
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raises(GeneratorsError, lambda: Domain.postprocess({'gens': (),
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'domain': EX}))
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raises(GeneratorsError, lambda: Domain.postprocess({'domain': EX}))
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def test_Split_preprocess():
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assert Split.preprocess(False) is False
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assert Split.preprocess(True) is True
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assert Split.preprocess(0) is False
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assert Split.preprocess(1) is True
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raises(OptionError, lambda: Split.preprocess(x))
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def test_Split_postprocess():
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raises(NotImplementedError, lambda: Split.postprocess({'split': True}))
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def test_Gaussian_preprocess():
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assert Gaussian.preprocess(False) is False
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assert Gaussian.preprocess(True) is True
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assert Gaussian.preprocess(0) is False
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assert Gaussian.preprocess(1) is True
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raises(OptionError, lambda: Gaussian.preprocess(x))
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def test_Gaussian_postprocess():
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opt = {'gaussian': True}
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Gaussian.postprocess(opt)
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assert opt == {
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'gaussian': True,
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'domain': QQ_I,
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}
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def test_Extension_preprocess():
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assert Extension.preprocess(True) is True
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assert Extension.preprocess(1) is True
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assert Extension.preprocess([]) is None
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assert Extension.preprocess(sqrt(2)) == {sqrt(2)}
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assert Extension.preprocess([sqrt(2)]) == {sqrt(2)}
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assert Extension.preprocess([sqrt(2), I]) == {sqrt(2), I}
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raises(OptionError, lambda: Extension.preprocess(False))
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raises(OptionError, lambda: Extension.preprocess(0))
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def test_Extension_postprocess():
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opt = {'extension': {sqrt(2)}}
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Extension.postprocess(opt)
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assert opt == {
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'extension': {sqrt(2)},
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'domain': QQ.algebraic_field(sqrt(2)),
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}
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opt = {'extension': True}
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Extension.postprocess(opt)
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assert opt == {'extension': True}
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def test_Modulus_preprocess():
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assert Modulus.preprocess(23) == 23
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assert Modulus.preprocess(Integer(23)) == 23
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raises(OptionError, lambda: Modulus.preprocess(0))
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raises(OptionError, lambda: Modulus.preprocess(x))
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def test_Modulus_postprocess():
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opt = {'modulus': 5}
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Modulus.postprocess(opt)
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assert opt == {
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'modulus': 5,
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'domain': FF(5),
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}
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opt = {'modulus': 5, 'symmetric': False}
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Modulus.postprocess(opt)
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assert opt == {
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'modulus': 5,
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'domain': FF(5, False),
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'symmetric': False,
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}
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def test_Symmetric_preprocess():
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assert Symmetric.preprocess(False) is False
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assert Symmetric.preprocess(True) is True
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assert Symmetric.preprocess(0) is False
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assert Symmetric.preprocess(1) is True
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raises(OptionError, lambda: Symmetric.preprocess(x))
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def test_Symmetric_postprocess():
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opt = {'symmetric': True}
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Symmetric.postprocess(opt)
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assert opt == {'symmetric': True}
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def test_Strict_preprocess():
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assert Strict.preprocess(False) is False
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assert Strict.preprocess(True) is True
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assert Strict.preprocess(0) is False
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assert Strict.preprocess(1) is True
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raises(OptionError, lambda: Strict.preprocess(x))
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def test_Strict_postprocess():
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opt = {'strict': True}
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Strict.postprocess(opt)
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assert opt == {'strict': True}
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def test_Auto_preprocess():
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assert Auto.preprocess(False) is False
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assert Auto.preprocess(True) is True
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assert Auto.preprocess(0) is False
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assert Auto.preprocess(1) is True
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raises(OptionError, lambda: Auto.preprocess(x))
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def test_Auto_postprocess():
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opt = {'auto': True}
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Auto.postprocess(opt)
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assert opt == {'auto': True}
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def test_Frac_preprocess():
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assert Frac.preprocess(False) is False
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assert Frac.preprocess(True) is True
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assert Frac.preprocess(0) is False
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assert Frac.preprocess(1) is True
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raises(OptionError, lambda: Frac.preprocess(x))
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def test_Frac_postprocess():
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opt = {'frac': True}
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Frac.postprocess(opt)
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assert opt == {'frac': True}
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def test_Formal_preprocess():
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assert Formal.preprocess(False) is False
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assert Formal.preprocess(True) is True
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assert Formal.preprocess(0) is False
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assert Formal.preprocess(1) is True
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raises(OptionError, lambda: Formal.preprocess(x))
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def test_Formal_postprocess():
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opt = {'formal': True}
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Formal.postprocess(opt)
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assert opt == {'formal': True}
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def test_Polys_preprocess():
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assert Polys.preprocess(False) is False
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assert Polys.preprocess(True) is True
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assert Polys.preprocess(0) is False
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assert Polys.preprocess(1) is True
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raises(OptionError, lambda: Polys.preprocess(x))
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def test_Polys_postprocess():
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opt = {'polys': True}
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Polys.postprocess(opt)
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assert opt == {'polys': True}
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def test_Include_preprocess():
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assert Include.preprocess(False) is False
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assert Include.preprocess(True) is True
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assert Include.preprocess(0) is False
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assert Include.preprocess(1) is True
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raises(OptionError, lambda: Include.preprocess(x))
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def test_Include_postprocess():
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opt = {'include': True}
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Include.postprocess(opt)
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assert opt == {'include': True}
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def test_All_preprocess():
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assert All.preprocess(False) is False
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assert All.preprocess(True) is True
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assert All.preprocess(0) is False
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assert All.preprocess(1) is True
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raises(OptionError, lambda: All.preprocess(x))
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def test_All_postprocess():
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opt = {'all': True}
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All.postprocess(opt)
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assert opt == {'all': True}
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def test_Gen_postprocess():
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opt = {'gen': x}
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Gen.postprocess(opt)
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assert opt == {'gen': x}
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def test_Symbols_preprocess():
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raises(OptionError, lambda: Symbols.preprocess(x))
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def test_Symbols_postprocess():
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opt = {'symbols': [x, y, z]}
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Symbols.postprocess(opt)
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assert opt == {'symbols': [x, y, z]}
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def test_Method_preprocess():
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raises(OptionError, lambda: Method.preprocess(10))
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def test_Method_postprocess():
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opt = {'method': 'f5b'}
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Method.postprocess(opt)
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assert opt == {'method': 'f5b'}
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