Initial import: grid-bot — grid trading bot for BTC-USDT on Cifra Markets

2026-09-24 13:22:23 +07:00
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+"""Polynomial manipulation algorithms and algebraic objects. """
+
+__all__ = [
+    'Poly', 'PurePoly', 'poly_from_expr', 'parallel_poly_from_expr', 'degree',
+    'total_degree', 'degree_list', 'LC', 'LM', 'LT', 'pdiv', 'prem', 'pquo',
+    'pexquo', 'div', 'rem', 'quo', 'exquo', 'half_gcdex', 'gcdex', 'invert',
+    'subresultants', 'resultant', 'discriminant', 'cofactors', 'gcd_list',
+    'gcd', 'lcm_list', 'lcm', 'terms_gcd', 'trunc', 'monic', 'content',
+    'primitive', 'compose', 'decompose', 'sturm', 'gff_list', 'gff',
+    'sqf_norm', 'sqf_part', 'sqf_list', 'sqf', 'factor_list', 'factor',
+    'intervals', 'refine_root', 'count_roots', 'all_roots', 'real_roots',
+    'nroots', 'ground_roots', 'nth_power_roots_poly', 'cancel', 'reduced',
+    'groebner', 'is_zero_dimensional', 'GroebnerBasis', 'poly',
+
+    'symmetrize', 'horner', 'interpolate', 'rational_interpolate', 'viete',
+
+    'together',
+
+    'BasePolynomialError', 'ExactQuotientFailed', 'PolynomialDivisionFailed',
+    'OperationNotSupported', 'HeuristicGCDFailed', 'HomomorphismFailed',
+    'IsomorphismFailed', 'ExtraneousFactors', 'EvaluationFailed',
+    'RefinementFailed', 'CoercionFailed', 'NotInvertible', 'NotReversible',
+    'NotAlgebraic', 'DomainError', 'PolynomialError', 'UnificationFailed',
+    'GeneratorsError', 'GeneratorsNeeded', 'ComputationFailed',
+    'UnivariatePolynomialError', 'MultivariatePolynomialError',
+    'PolificationFailed', 'OptionError', 'FlagError',
+
+    'minpoly', 'minimal_polynomial', 'primitive_element', 'field_isomorphism',
+    'to_number_field', 'isolate', 'round_two', 'prime_decomp',
+    'prime_valuation', 'galois_group',
+
+    'itermonomials', 'Monomial',
+
+    'lex', 'grlex', 'grevlex', 'ilex', 'igrlex', 'igrevlex',
+
+    'CRootOf', 'rootof', 'RootOf', 'ComplexRootOf', 'RootSum',
+
+    'roots',
+
+    'Domain', 'FiniteField', 'IntegerRing', 'RationalField', 'RealField',
+    'ComplexField', 'PythonFiniteField', 'GMPYFiniteField',
+    'PythonIntegerRing', 'GMPYIntegerRing', 'PythonRational',
+    'GMPYRationalField', 'AlgebraicField', 'PolynomialRing', 'FractionField',
+    'ExpressionDomain', 'FF_python', 'FF_gmpy', 'ZZ_python', 'ZZ_gmpy',
+    'QQ_python', 'QQ_gmpy', 'GF', 'FF', 'ZZ', 'QQ', 'ZZ_I', 'QQ_I', 'RR',
+    'CC', 'EX', 'EXRAW',
+
+    'construct_domain',
+
+    'swinnerton_dyer_poly', 'cyclotomic_poly', 'symmetric_poly',
+    'random_poly', 'interpolating_poly',
+
+    'jacobi_poly', 'chebyshevt_poly', 'chebyshevu_poly', 'hermite_poly',
+    'hermite_prob_poly', 'legendre_poly', 'laguerre_poly',
+
+    'bernoulli_poly', 'bernoulli_c_poly', 'genocchi_poly', 'euler_poly',
+    'andre_poly',
+
+    'apart', 'apart_list', 'assemble_partfrac_list',
+
+    'Options',
+
+    'ring', 'xring', 'vring', 'sring',
+
+    'field', 'xfield', 'vfield', 'sfield'
+]
+
+from .polytools import (Poly, PurePoly, poly_from_expr,
+        parallel_poly_from_expr, degree, total_degree, degree_list, LC, LM,
+        LT, pdiv, prem, pquo, pexquo, div, rem, quo, exquo, half_gcdex, gcdex,
+        invert, subresultants, resultant, discriminant, cofactors, gcd_list,
+        gcd, lcm_list, lcm, terms_gcd, trunc, monic, content, primitive,
+        compose, decompose, sturm, gff_list, gff, sqf_norm, sqf_part,
+        sqf_list, sqf, factor_list, factor, intervals, refine_root,
+        count_roots, all_roots, real_roots, nroots, ground_roots,
+        nth_power_roots_poly, cancel, reduced, groebner, is_zero_dimensional,
+        GroebnerBasis, poly)
+
+from .polyfuncs import (symmetrize, horner, interpolate,
+        rational_interpolate, viete)
+
+from .rationaltools import together
+
+from .polyerrors import (BasePolynomialError, ExactQuotientFailed,
+        PolynomialDivisionFailed, OperationNotSupported, HeuristicGCDFailed,
+        HomomorphismFailed, IsomorphismFailed, ExtraneousFactors,
+        EvaluationFailed, RefinementFailed, CoercionFailed, NotInvertible,
+        NotReversible, NotAlgebraic, DomainError, PolynomialError,
+        UnificationFailed, GeneratorsError, GeneratorsNeeded,
+        ComputationFailed, UnivariatePolynomialError,
+        MultivariatePolynomialError, PolificationFailed, OptionError,
+        FlagError)
+
+from .numberfields import (minpoly, minimal_polynomial, primitive_element,
+        field_isomorphism, to_number_field, isolate, round_two, prime_decomp,
+        prime_valuation, galois_group)
+
+from .monomials import itermonomials, Monomial
+
+from .orderings import lex, grlex, grevlex, ilex, igrlex, igrevlex
+
+from .rootoftools import CRootOf, rootof, RootOf, ComplexRootOf, RootSum
+
+from .polyroots import roots
+
+from .domains import (Domain, FiniteField, IntegerRing, RationalField,
+        RealField, ComplexField, PythonFiniteField, GMPYFiniteField,
+        PythonIntegerRing, GMPYIntegerRing, PythonRational, GMPYRationalField,
+        AlgebraicField, PolynomialRing, FractionField, ExpressionDomain,
+        FF_python, FF_gmpy, ZZ_python, ZZ_gmpy, QQ_python, QQ_gmpy, GF, FF,
+        ZZ, QQ, ZZ_I, QQ_I, RR, CC, EX, EXRAW)
+
+from .constructor import construct_domain
+
+from .specialpolys import (swinnerton_dyer_poly, cyclotomic_poly,
+        symmetric_poly, random_poly, interpolating_poly)
+
+from .orthopolys import (jacobi_poly, chebyshevt_poly, chebyshevu_poly,
+        hermite_poly, hermite_prob_poly, legendre_poly, laguerre_poly)
+
+from .appellseqs import (bernoulli_poly, bernoulli_c_poly, genocchi_poly,
+        euler_poly, andre_poly)
+
+from .partfrac import apart, apart_list, assemble_partfrac_list
+
+from .polyoptions import Options
+
+from .rings import ring, xring, vring, sring
+
+from .fields import field, xfield, vfield, sfield