508 lines
19 KiB
Python
508 lines
19 KiB
Python
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from sympy.core import S
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from sympy.core.function import Lambda
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from sympy.core.power import Pow
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from .pycode import PythonCodePrinter, _known_functions_math, _print_known_const, _print_known_func, _unpack_integral_limits, ArrayPrinter
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from .codeprinter import CodePrinter
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_not_in_numpy = 'erf erfc factorial gamma loggamma'.split()
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_in_numpy = [(k, v) for k, v in _known_functions_math.items() if k not in _not_in_numpy]
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_known_functions_numpy = dict(_in_numpy, **{
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'acos': 'arccos',
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'acosh': 'arccosh',
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'asin': 'arcsin',
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'asinh': 'arcsinh',
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'atan': 'arctan',
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'atan2': 'arctan2',
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'atanh': 'arctanh',
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'exp2': 'exp2',
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'sign': 'sign',
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'logaddexp': 'logaddexp',
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'logaddexp2': 'logaddexp2',
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})
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_known_constants_numpy = {
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'Exp1': 'e',
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'Pi': 'pi',
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'EulerGamma': 'euler_gamma',
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'NaN': 'nan',
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'Infinity': 'PINF',
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'NegativeInfinity': 'NINF'
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}
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_numpy_known_functions = {k: 'numpy.' + v for k, v in _known_functions_numpy.items()}
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_numpy_known_constants = {k: 'numpy.' + v for k, v in _known_constants_numpy.items()}
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class NumPyPrinter(ArrayPrinter, PythonCodePrinter):
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"""
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Numpy printer which handles vectorized piecewise functions,
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logical operators, etc.
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"""
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_module = 'numpy'
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_kf = _numpy_known_functions
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_kc = _numpy_known_constants
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def __init__(self, settings=None):
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"""
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`settings` is passed to CodePrinter.__init__()
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`module` specifies the array module to use, currently 'NumPy', 'CuPy'
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or 'JAX'.
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"""
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self.language = "Python with {}".format(self._module)
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self.printmethod = "_{}code".format(self._module)
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self._kf = {**PythonCodePrinter._kf, **self._kf}
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super().__init__(settings=settings)
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def _print_seq(self, seq):
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"General sequence printer: converts to tuple"
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# Print tuples here instead of lists because numba supports
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# tuples in nopython mode.
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delimiter=', '
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return '({},)'.format(delimiter.join(self._print(item) for item in seq))
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def _print_MatMul(self, expr):
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"Matrix multiplication printer"
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if expr.as_coeff_matrices()[0] is not S.One:
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expr_list = expr.as_coeff_matrices()[1]+[(expr.as_coeff_matrices()[0])]
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return '({})'.format(').dot('.join(self._print(i) for i in expr_list))
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return '({})'.format(').dot('.join(self._print(i) for i in expr.args))
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def _print_MatPow(self, expr):
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"Matrix power printer"
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return '{}({}, {})'.format(self._module_format(self._module + '.linalg.matrix_power'),
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self._print(expr.args[0]), self._print(expr.args[1]))
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def _print_Inverse(self, expr):
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"Matrix inverse printer"
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return '{}({})'.format(self._module_format(self._module + '.linalg.inv'),
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self._print(expr.args[0]))
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def _print_DotProduct(self, expr):
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# DotProduct allows any shape order, but numpy.dot does matrix
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# multiplication, so we have to make sure it gets 1 x n by n x 1.
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arg1, arg2 = expr.args
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if arg1.shape[0] != 1:
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arg1 = arg1.T
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if arg2.shape[1] != 1:
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arg2 = arg2.T
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return "%s(%s, %s)" % (self._module_format(self._module + '.dot'),
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self._print(arg1),
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self._print(arg2))
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def _print_MatrixSolve(self, expr):
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return "%s(%s, %s)" % (self._module_format(self._module + '.linalg.solve'),
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self._print(expr.matrix),
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self._print(expr.vector))
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def _print_ZeroMatrix(self, expr):
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return '{}({})'.format(self._module_format(self._module + '.zeros'),
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self._print(expr.shape))
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def _print_OneMatrix(self, expr):
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return '{}({})'.format(self._module_format(self._module + '.ones'),
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self._print(expr.shape))
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def _print_FunctionMatrix(self, expr):
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from sympy.abc import i, j
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lamda = expr.lamda
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if not isinstance(lamda, Lambda):
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lamda = Lambda((i, j), lamda(i, j))
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return '{}(lambda {}: {}, {})'.format(self._module_format(self._module + '.fromfunction'),
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', '.join(self._print(arg) for arg in lamda.args[0]),
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self._print(lamda.args[1]), self._print(expr.shape))
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def _print_HadamardProduct(self, expr):
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func = self._module_format(self._module + '.multiply')
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return ''.join('{}({}, '.format(func, self._print(arg)) \
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for arg in expr.args[:-1]) + "{}{}".format(self._print(expr.args[-1]),
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')' * (len(expr.args) - 1))
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def _print_KroneckerProduct(self, expr):
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func = self._module_format(self._module + '.kron')
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return ''.join('{}({}, '.format(func, self._print(arg)) \
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for arg in expr.args[:-1]) + "{}{}".format(self._print(expr.args[-1]),
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')' * (len(expr.args) - 1))
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def _print_Adjoint(self, expr):
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return '{}({}({}))'.format(
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self._module_format(self._module + '.conjugate'),
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self._module_format(self._module + '.transpose'),
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self._print(expr.args[0]))
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def _print_DiagonalOf(self, expr):
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vect = '{}({})'.format(
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self._module_format(self._module + '.diag'),
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self._print(expr.arg))
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return '{}({}, (-1, 1))'.format(
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self._module_format(self._module + '.reshape'), vect)
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def _print_DiagMatrix(self, expr):
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return '{}({})'.format(self._module_format(self._module + '.diagflat'),
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self._print(expr.args[0]))
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def _print_DiagonalMatrix(self, expr):
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return '{}({}, {}({}, {}))'.format(self._module_format(self._module + '.multiply'),
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self._print(expr.arg), self._module_format(self._module + '.eye'),
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self._print(expr.shape[0]), self._print(expr.shape[1]))
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def _print_Piecewise(self, expr):
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"Piecewise function printer"
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from sympy.logic.boolalg import ITE, simplify_logic
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def print_cond(cond):
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""" Problem having an ITE in the cond. """
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if cond.has(ITE):
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return self._print(simplify_logic(cond))
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else:
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return self._print(cond)
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exprs = '[{}]'.format(','.join(self._print(arg.expr) for arg in expr.args))
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conds = '[{}]'.format(','.join(print_cond(arg.cond) for arg in expr.args))
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# If [default_value, True] is a (expr, cond) sequence in a Piecewise object
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# it will behave the same as passing the 'default' kwarg to select()
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# *as long as* it is the last element in expr.args.
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# If this is not the case, it may be triggered prematurely.
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return '{}({}, {}, default={})'.format(
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self._module_format(self._module + '.select'), conds, exprs,
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self._print(S.NaN))
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def _print_Relational(self, expr):
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"Relational printer for Equality and Unequality"
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op = {
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'==' :'equal',
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'!=' :'not_equal',
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'<' :'less',
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'<=' :'less_equal',
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'>' :'greater',
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'>=' :'greater_equal',
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}
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if expr.rel_op in op:
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lhs = self._print(expr.lhs)
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rhs = self._print(expr.rhs)
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return '{op}({lhs}, {rhs})'.format(op=self._module_format(self._module + '.'+op[expr.rel_op]),
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lhs=lhs, rhs=rhs)
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return super()._print_Relational(expr)
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def _print_And(self, expr):
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"Logical And printer"
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# We have to override LambdaPrinter because it uses Python 'and' keyword.
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# If LambdaPrinter didn't define it, we could use StrPrinter's
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# version of the function and add 'logical_and' to NUMPY_TRANSLATIONS.
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return '{}.reduce(({}))'.format(self._module_format(self._module + '.logical_and'), ','.join(self._print(i) for i in expr.args))
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def _print_Or(self, expr):
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"Logical Or printer"
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# We have to override LambdaPrinter because it uses Python 'or' keyword.
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# If LambdaPrinter didn't define it, we could use StrPrinter's
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# version of the function and add 'logical_or' to NUMPY_TRANSLATIONS.
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return '{}.reduce(({}))'.format(self._module_format(self._module + '.logical_or'), ','.join(self._print(i) for i in expr.args))
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def _print_Not(self, expr):
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"Logical Not printer"
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# We have to override LambdaPrinter because it uses Python 'not' keyword.
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# If LambdaPrinter didn't define it, we would still have to define our
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# own because StrPrinter doesn't define it.
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return '{}({})'.format(self._module_format(self._module + '.logical_not'), ','.join(self._print(i) for i in expr.args))
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def _print_Pow(self, expr, rational=False):
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# XXX Workaround for negative integer power error
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if expr.exp.is_integer and expr.exp.is_negative:
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expr = Pow(expr.base, expr.exp.evalf(), evaluate=False)
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return self._hprint_Pow(expr, rational=rational, sqrt=self._module + '.sqrt')
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def _print_Min(self, expr):
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return '{}(({}), axis=0)'.format(self._module_format(self._module + '.amin'), ','.join(self._print(i) for i in expr.args))
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def _print_Max(self, expr):
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return '{}(({}), axis=0)'.format(self._module_format(self._module + '.amax'), ','.join(self._print(i) for i in expr.args))
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def _print_arg(self, expr):
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return "%s(%s)" % (self._module_format(self._module + '.angle'), self._print(expr.args[0]))
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def _print_im(self, expr):
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return "%s(%s)" % (self._module_format(self._module + '.imag'), self._print(expr.args[0]))
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def _print_Mod(self, expr):
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return "%s(%s)" % (self._module_format(self._module + '.mod'), ', '.join(
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(self._print(arg) for arg in expr.args)))
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def _print_re(self, expr):
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return "%s(%s)" % (self._module_format(self._module + '.real'), self._print(expr.args[0]))
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def _print_sinc(self, expr):
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return "%s(%s)" % (self._module_format(self._module + '.sinc'), self._print(expr.args[0]/S.Pi))
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def _print_MatrixBase(self, expr):
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func = self.known_functions.get(expr.__class__.__name__, None)
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if func is None:
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func = self._module_format(self._module + '.array')
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return "%s(%s)" % (func, self._print(expr.tolist()))
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def _print_Identity(self, expr):
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shape = expr.shape
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if all(dim.is_Integer for dim in shape):
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return "%s(%s)" % (self._module_format(self._module + '.eye'), self._print(expr.shape[0]))
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else:
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raise NotImplementedError("Symbolic matrix dimensions are not yet supported for identity matrices")
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def _print_BlockMatrix(self, expr):
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return '{}({})'.format(self._module_format(self._module + '.block'),
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self._print(expr.args[0].tolist()))
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def _print_NDimArray(self, expr):
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if len(expr.shape) == 1:
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return self._module + '.array(' + self._print(expr.args[0]) + ')'
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if len(expr.shape) == 2:
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return self._print(expr.tomatrix())
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# Should be possible to extend to more dimensions
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return CodePrinter._print_not_supported(self, expr)
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_add = "add"
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_einsum = "einsum"
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_transpose = "transpose"
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_ones = "ones"
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_zeros = "zeros"
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_print_lowergamma = CodePrinter._print_not_supported
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_print_uppergamma = CodePrinter._print_not_supported
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_print_fresnelc = CodePrinter._print_not_supported
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_print_fresnels = CodePrinter._print_not_supported
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for func in _numpy_known_functions:
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setattr(NumPyPrinter, f'_print_{func}', _print_known_func)
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for const in _numpy_known_constants:
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setattr(NumPyPrinter, f'_print_{const}', _print_known_const)
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_known_functions_scipy_special = {
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'Ei': 'expi',
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'erf': 'erf',
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'erfc': 'erfc',
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'besselj': 'jv',
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'bessely': 'yv',
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'besseli': 'iv',
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'besselk': 'kv',
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'cosm1': 'cosm1',
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'powm1': 'powm1',
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'factorial': 'factorial',
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'gamma': 'gamma',
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'loggamma': 'gammaln',
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'digamma': 'psi',
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'polygamma': 'polygamma',
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'RisingFactorial': 'poch',
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'jacobi': 'eval_jacobi',
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'gegenbauer': 'eval_gegenbauer',
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'chebyshevt': 'eval_chebyt',
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'chebyshevu': 'eval_chebyu',
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'legendre': 'eval_legendre',
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'hermite': 'eval_hermite',
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'laguerre': 'eval_laguerre',
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'assoc_laguerre': 'eval_genlaguerre',
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'beta': 'beta',
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'LambertW' : 'lambertw',
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}
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_known_constants_scipy_constants = {
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'GoldenRatio': 'golden_ratio',
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'Pi': 'pi',
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}
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_scipy_known_functions = {k : "scipy.special." + v for k, v in _known_functions_scipy_special.items()}
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_scipy_known_constants = {k : "scipy.constants." + v for k, v in _known_constants_scipy_constants.items()}
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class SciPyPrinter(NumPyPrinter):
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_kf = {**NumPyPrinter._kf, **_scipy_known_functions}
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_kc = {**NumPyPrinter._kc, **_scipy_known_constants}
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def __init__(self, settings=None):
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super().__init__(settings=settings)
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self.language = "Python with SciPy and NumPy"
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def _print_SparseRepMatrix(self, expr):
|
||
|
|
i, j, data = [], [], []
|
||
|
|
for (r, c), v in expr.todok().items():
|
||
|
|
i.append(r)
|
||
|
|
j.append(c)
|
||
|
|
data.append(v)
|
||
|
|
|
||
|
|
return "{name}(({data}, ({i}, {j})), shape={shape})".format(
|
||
|
|
name=self._module_format('scipy.sparse.coo_matrix'),
|
||
|
|
data=data, i=i, j=j, shape=expr.shape
|
||
|
|
)
|
||
|
|
|
||
|
|
_print_ImmutableSparseMatrix = _print_SparseRepMatrix
|
||
|
|
|
||
|
|
# SciPy's lpmv has a different order of arguments from assoc_legendre
|
||
|
|
def _print_assoc_legendre(self, expr):
|
||
|
|
return "{0}({2}, {1}, {3})".format(
|
||
|
|
self._module_format('scipy.special.lpmv'),
|
||
|
|
self._print(expr.args[0]),
|
||
|
|
self._print(expr.args[1]),
|
||
|
|
self._print(expr.args[2]))
|
||
|
|
|
||
|
|
def _print_lowergamma(self, expr):
|
||
|
|
return "{0}({2})*{1}({2}, {3})".format(
|
||
|
|
self._module_format('scipy.special.gamma'),
|
||
|
|
self._module_format('scipy.special.gammainc'),
|
||
|
|
self._print(expr.args[0]),
|
||
|
|
self._print(expr.args[1]))
|
||
|
|
|
||
|
|
def _print_uppergamma(self, expr):
|
||
|
|
return "{0}({2})*{1}({2}, {3})".format(
|
||
|
|
self._module_format('scipy.special.gamma'),
|
||
|
|
self._module_format('scipy.special.gammaincc'),
|
||
|
|
self._print(expr.args[0]),
|
||
|
|
self._print(expr.args[1]))
|
||
|
|
|
||
|
|
def _print_betainc(self, expr):
|
||
|
|
betainc = self._module_format('scipy.special.betainc')
|
||
|
|
beta = self._module_format('scipy.special.beta')
|
||
|
|
args = [self._print(arg) for arg in expr.args]
|
||
|
|
return f"({betainc}({args[0]}, {args[1]}, {args[3]}) - {betainc}({args[0]}, {args[1]}, {args[2]})) \
|
||
|
|
* {beta}({args[0]}, {args[1]})"
|
||
|
|
|
||
|
|
def _print_betainc_regularized(self, expr):
|
||
|
|
return "{0}({1}, {2}, {4}) - {0}({1}, {2}, {3})".format(
|
||
|
|
self._module_format('scipy.special.betainc'),
|
||
|
|
self._print(expr.args[0]),
|
||
|
|
self._print(expr.args[1]),
|
||
|
|
self._print(expr.args[2]),
|
||
|
|
self._print(expr.args[3]))
|
||
|
|
|
||
|
|
def _print_fresnels(self, expr):
|
||
|
|
return "{}({})[0]".format(
|
||
|
|
self._module_format("scipy.special.fresnel"),
|
||
|
|
self._print(expr.args[0]))
|
||
|
|
|
||
|
|
def _print_fresnelc(self, expr):
|
||
|
|
return "{}({})[1]".format(
|
||
|
|
self._module_format("scipy.special.fresnel"),
|
||
|
|
self._print(expr.args[0]))
|
||
|
|
|
||
|
|
def _print_airyai(self, expr):
|
||
|
|
return "{}({})[0]".format(
|
||
|
|
self._module_format("scipy.special.airy"),
|
||
|
|
self._print(expr.args[0]))
|
||
|
|
|
||
|
|
def _print_airyaiprime(self, expr):
|
||
|
|
return "{}({})[1]".format(
|
||
|
|
self._module_format("scipy.special.airy"),
|
||
|
|
self._print(expr.args[0]))
|
||
|
|
|
||
|
|
def _print_airybi(self, expr):
|
||
|
|
return "{}({})[2]".format(
|
||
|
|
self._module_format("scipy.special.airy"),
|
||
|
|
self._print(expr.args[0]))
|
||
|
|
|
||
|
|
def _print_airybiprime(self, expr):
|
||
|
|
return "{}({})[3]".format(
|
||
|
|
self._module_format("scipy.special.airy"),
|
||
|
|
self._print(expr.args[0]))
|
||
|
|
|
||
|
|
def _print_bernoulli(self, expr):
|
||
|
|
# scipy's bernoulli is inconsistent with SymPy's so rewrite
|
||
|
|
return self._print(expr._eval_rewrite_as_zeta(*expr.args))
|
||
|
|
|
||
|
|
def _print_harmonic(self, expr):
|
||
|
|
return self._print(expr._eval_rewrite_as_zeta(*expr.args))
|
||
|
|
|
||
|
|
def _print_Integral(self, e):
|
||
|
|
integration_vars, limits = _unpack_integral_limits(e)
|
||
|
|
|
||
|
|
if len(limits) == 1:
|
||
|
|
# nicer (but not necessary) to prefer quad over nquad for 1D case
|
||
|
|
module_str = self._module_format("scipy.integrate.quad")
|
||
|
|
limit_str = "%s, %s" % tuple(map(self._print, limits[0]))
|
||
|
|
else:
|
||
|
|
module_str = self._module_format("scipy.integrate.nquad")
|
||
|
|
limit_str = "({})".format(", ".join(
|
||
|
|
"(%s, %s)" % tuple(map(self._print, l)) for l in limits))
|
||
|
|
|
||
|
|
return "{}(lambda {}: {}, {})[0]".format(
|
||
|
|
module_str,
|
||
|
|
", ".join(map(self._print, integration_vars)),
|
||
|
|
self._print(e.args[0]),
|
||
|
|
limit_str)
|
||
|
|
|
||
|
|
def _print_Si(self, expr):
|
||
|
|
return "{}({})[0]".format(
|
||
|
|
self._module_format("scipy.special.sici"),
|
||
|
|
self._print(expr.args[0]))
|
||
|
|
|
||
|
|
def _print_Ci(self, expr):
|
||
|
|
return "{}({})[1]".format(
|
||
|
|
self._module_format("scipy.special.sici"),
|
||
|
|
self._print(expr.args[0]))
|
||
|
|
|
||
|
|
for func in _scipy_known_functions:
|
||
|
|
setattr(SciPyPrinter, f'_print_{func}', _print_known_func)
|
||
|
|
|
||
|
|
for const in _scipy_known_constants:
|
||
|
|
setattr(SciPyPrinter, f'_print_{const}', _print_known_const)
|
||
|
|
|
||
|
|
|
||
|
|
_cupy_known_functions = {k : "cupy." + v for k, v in _known_functions_numpy.items()}
|
||
|
|
_cupy_known_constants = {k : "cupy." + v for k, v in _known_constants_numpy.items()}
|
||
|
|
|
||
|
|
class CuPyPrinter(NumPyPrinter):
|
||
|
|
"""
|
||
|
|
CuPy printer which handles vectorized piecewise functions,
|
||
|
|
logical operators, etc.
|
||
|
|
"""
|
||
|
|
|
||
|
|
_module = 'cupy'
|
||
|
|
_kf = _cupy_known_functions
|
||
|
|
_kc = _cupy_known_constants
|
||
|
|
|
||
|
|
def __init__(self, settings=None):
|
||
|
|
super().__init__(settings=settings)
|
||
|
|
|
||
|
|
for func in _cupy_known_functions:
|
||
|
|
setattr(CuPyPrinter, f'_print_{func}', _print_known_func)
|
||
|
|
|
||
|
|
for const in _cupy_known_constants:
|
||
|
|
setattr(CuPyPrinter, f'_print_{const}', _print_known_const)
|
||
|
|
|
||
|
|
|
||
|
|
_jax_known_functions = {k: 'jax.numpy.' + v for k, v in _known_functions_numpy.items()}
|
||
|
|
_jax_known_constants = {k: 'jax.numpy.' + v for k, v in _known_constants_numpy.items()}
|
||
|
|
|
||
|
|
class JaxPrinter(NumPyPrinter):
|
||
|
|
"""
|
||
|
|
JAX printer which handles vectorized piecewise functions,
|
||
|
|
logical operators, etc.
|
||
|
|
"""
|
||
|
|
_module = "jax.numpy"
|
||
|
|
|
||
|
|
_kf = _jax_known_functions
|
||
|
|
_kc = _jax_known_constants
|
||
|
|
|
||
|
|
def __init__(self, settings=None):
|
||
|
|
super().__init__(settings=settings)
|
||
|
|
|
||
|
|
# These need specific override to allow for the lack of "jax.numpy.reduce"
|
||
|
|
def _print_And(self, expr):
|
||
|
|
"Logical And printer"
|
||
|
|
return "{}({}.asarray([{}]), axis=0)".format(
|
||
|
|
self._module_format(self._module + ".all"),
|
||
|
|
self._module_format(self._module),
|
||
|
|
",".join(self._print(i) for i in expr.args),
|
||
|
|
)
|
||
|
|
|
||
|
|
def _print_Or(self, expr):
|
||
|
|
"Logical Or printer"
|
||
|
|
return "{}({}.asarray([{}]), axis=0)".format(
|
||
|
|
self._module_format(self._module + ".any"),
|
||
|
|
self._module_format(self._module),
|
||
|
|
",".join(self._print(i) for i in expr.args),
|
||
|
|
)
|
||
|
|
|
||
|
|
for func in _jax_known_functions:
|
||
|
|
setattr(JaxPrinter, f'_print_{func}', _print_known_func)
|
||
|
|
|
||
|
|
for const in _jax_known_constants:
|
||
|
|
setattr(JaxPrinter, f'_print_{const}', _print_known_const)
|