252 lines
8.1 KiB
Python
252 lines
8.1 KiB
Python
from .pycode import (
|
|
PythonCodePrinter,
|
|
MpmathPrinter,
|
|
)
|
|
from .numpy import NumPyPrinter # NumPyPrinter is imported for backward compatibility
|
|
from sympy.core.sorting import default_sort_key
|
|
|
|
|
|
__all__ = [
|
|
'PythonCodePrinter',
|
|
'MpmathPrinter', # MpmathPrinter is published for backward compatibility
|
|
'NumPyPrinter',
|
|
'LambdaPrinter',
|
|
'NumPyPrinter',
|
|
'IntervalPrinter',
|
|
'lambdarepr',
|
|
]
|
|
|
|
|
|
class LambdaPrinter(PythonCodePrinter):
|
|
"""
|
|
This printer converts expressions into strings that can be used by
|
|
lambdify.
|
|
"""
|
|
printmethod = "_lambdacode"
|
|
|
|
|
|
def _print_And(self, expr):
|
|
result = ['(']
|
|
for arg in sorted(expr.args, key=default_sort_key):
|
|
result.extend(['(', self._print(arg), ')'])
|
|
result.append(' and ')
|
|
result = result[:-1]
|
|
result.append(')')
|
|
return ''.join(result)
|
|
|
|
def _print_Or(self, expr):
|
|
result = ['(']
|
|
for arg in sorted(expr.args, key=default_sort_key):
|
|
result.extend(['(', self._print(arg), ')'])
|
|
result.append(' or ')
|
|
result = result[:-1]
|
|
result.append(')')
|
|
return ''.join(result)
|
|
|
|
def _print_Not(self, expr):
|
|
result = ['(', 'not (', self._print(expr.args[0]), '))']
|
|
return ''.join(result)
|
|
|
|
def _print_BooleanTrue(self, expr):
|
|
return "True"
|
|
|
|
def _print_BooleanFalse(self, expr):
|
|
return "False"
|
|
|
|
def _print_ITE(self, expr):
|
|
result = [
|
|
'((', self._print(expr.args[1]),
|
|
') if (', self._print(expr.args[0]),
|
|
') else (', self._print(expr.args[2]), '))'
|
|
]
|
|
return ''.join(result)
|
|
|
|
def _print_NumberSymbol(self, expr):
|
|
return str(expr)
|
|
|
|
def _print_Pow(self, expr, **kwargs):
|
|
# XXX Temporary workaround. Should Python math printer be
|
|
# isolated from PythonCodePrinter?
|
|
return super(PythonCodePrinter, self)._print_Pow(expr, **kwargs)
|
|
|
|
|
|
# numexpr works by altering the string passed to numexpr.evaluate
|
|
# rather than by populating a namespace. Thus a special printer...
|
|
class NumExprPrinter(LambdaPrinter):
|
|
# key, value pairs correspond to SymPy name and numexpr name
|
|
# functions not appearing in this dict will raise a TypeError
|
|
printmethod = "_numexprcode"
|
|
|
|
_numexpr_functions = {
|
|
'sin' : 'sin',
|
|
'cos' : 'cos',
|
|
'tan' : 'tan',
|
|
'asin': 'arcsin',
|
|
'acos': 'arccos',
|
|
'atan': 'arctan',
|
|
'atan2' : 'arctan2',
|
|
'sinh' : 'sinh',
|
|
'cosh' : 'cosh',
|
|
'tanh' : 'tanh',
|
|
'asinh': 'arcsinh',
|
|
'acosh': 'arccosh',
|
|
'atanh': 'arctanh',
|
|
'ln' : 'log',
|
|
'log': 'log',
|
|
'exp': 'exp',
|
|
'sqrt' : 'sqrt',
|
|
'Abs' : 'abs',
|
|
'conjugate' : 'conj',
|
|
'im' : 'imag',
|
|
're' : 'real',
|
|
'where' : 'where',
|
|
'complex' : 'complex',
|
|
'contains' : 'contains',
|
|
}
|
|
|
|
module = 'numexpr'
|
|
|
|
def _print_ImaginaryUnit(self, expr):
|
|
return '1j'
|
|
|
|
def _print_seq(self, seq, delimiter=', '):
|
|
# simplified _print_seq taken from pretty.py
|
|
s = [self._print(item) for item in seq]
|
|
if s:
|
|
return delimiter.join(s)
|
|
else:
|
|
return ""
|
|
|
|
def _print_Function(self, e):
|
|
func_name = e.func.__name__
|
|
|
|
nstr = self._numexpr_functions.get(func_name, None)
|
|
if nstr is None:
|
|
# check for implemented_function
|
|
if hasattr(e, '_imp_'):
|
|
return "(%s)" % self._print(e._imp_(*e.args))
|
|
else:
|
|
raise TypeError("numexpr does not support function '%s'" %
|
|
func_name)
|
|
return "%s(%s)" % (nstr, self._print_seq(e.args))
|
|
|
|
def _print_Piecewise(self, expr):
|
|
"Piecewise function printer"
|
|
exprs = [self._print(arg.expr) for arg in expr.args]
|
|
conds = [self._print(arg.cond) for arg in expr.args]
|
|
# If [default_value, True] is a (expr, cond) sequence in a Piecewise object
|
|
# it will behave the same as passing the 'default' kwarg to select()
|
|
# *as long as* it is the last element in expr.args.
|
|
# If this is not the case, it may be triggered prematurely.
|
|
ans = []
|
|
parenthesis_count = 0
|
|
is_last_cond_True = False
|
|
for cond, expr in zip(conds, exprs):
|
|
if cond == 'True':
|
|
ans.append(expr)
|
|
is_last_cond_True = True
|
|
break
|
|
else:
|
|
ans.append('where(%s, %s, ' % (cond, expr))
|
|
parenthesis_count += 1
|
|
if not is_last_cond_True:
|
|
# See https://github.com/pydata/numexpr/issues/298
|
|
#
|
|
# simplest way to put a nan but raises
|
|
# 'RuntimeWarning: invalid value encountered in log'
|
|
#
|
|
# There are other ways to do this such as
|
|
#
|
|
# >>> import numexpr as ne
|
|
# >>> nan = float('nan')
|
|
# >>> ne.evaluate('where(x < 0, -1, nan)', {'x': [-1, 2, 3], 'nan':nan})
|
|
# array([-1., nan, nan])
|
|
#
|
|
# That needs to be handled in the lambdified function though rather
|
|
# than here in the printer.
|
|
ans.append('log(-1)')
|
|
return ''.join(ans) + ')' * parenthesis_count
|
|
|
|
def _print_ITE(self, expr):
|
|
from sympy.functions.elementary.piecewise import Piecewise
|
|
return self._print(expr.rewrite(Piecewise))
|
|
|
|
def blacklisted(self, expr):
|
|
raise TypeError("numexpr cannot be used with %s" %
|
|
expr.__class__.__name__)
|
|
|
|
# blacklist all Matrix printing
|
|
_print_SparseRepMatrix = \
|
|
_print_MutableSparseMatrix = \
|
|
_print_ImmutableSparseMatrix = \
|
|
_print_Matrix = \
|
|
_print_DenseMatrix = \
|
|
_print_MutableDenseMatrix = \
|
|
_print_ImmutableMatrix = \
|
|
_print_ImmutableDenseMatrix = \
|
|
blacklisted
|
|
# blacklist some Python expressions
|
|
_print_list = \
|
|
_print_tuple = \
|
|
_print_Tuple = \
|
|
_print_dict = \
|
|
_print_Dict = \
|
|
blacklisted
|
|
|
|
def _print_NumExprEvaluate(self, expr):
|
|
evaluate = self._module_format(self.module +".evaluate")
|
|
return "%s('%s', truediv=True)" % (evaluate, self._print(expr.expr))
|
|
|
|
def doprint(self, expr):
|
|
from sympy.codegen.ast import CodegenAST
|
|
from sympy.codegen.pynodes import NumExprEvaluate
|
|
if not isinstance(expr, CodegenAST):
|
|
expr = NumExprEvaluate(expr)
|
|
return super().doprint(expr)
|
|
|
|
def _print_Return(self, expr):
|
|
from sympy.codegen.pynodes import NumExprEvaluate
|
|
r, = expr.args
|
|
if not isinstance(r, NumExprEvaluate):
|
|
expr = expr.func(NumExprEvaluate(r))
|
|
return super()._print_Return(expr)
|
|
|
|
def _print_Assignment(self, expr):
|
|
from sympy.codegen.pynodes import NumExprEvaluate
|
|
lhs, rhs, *args = expr.args
|
|
if not isinstance(rhs, NumExprEvaluate):
|
|
expr = expr.func(lhs, NumExprEvaluate(rhs), *args)
|
|
return super()._print_Assignment(expr)
|
|
|
|
def _print_CodeBlock(self, expr):
|
|
from sympy.codegen.ast import CodegenAST
|
|
from sympy.codegen.pynodes import NumExprEvaluate
|
|
args = [ arg if isinstance(arg, CodegenAST) else NumExprEvaluate(arg) for arg in expr.args ]
|
|
return super()._print_CodeBlock(self, expr.func(*args))
|
|
|
|
|
|
class IntervalPrinter(MpmathPrinter, LambdaPrinter):
|
|
"""Use ``lambda`` printer but print numbers as ``mpi`` intervals. """
|
|
|
|
def _print_Integer(self, expr):
|
|
return "mpi('%s')" % super(PythonCodePrinter, self)._print_Integer(expr)
|
|
|
|
def _print_Rational(self, expr):
|
|
return "mpi('%s')" % super(PythonCodePrinter, self)._print_Rational(expr)
|
|
|
|
def _print_Half(self, expr):
|
|
return "mpi('%s')" % super(PythonCodePrinter, self)._print_Rational(expr)
|
|
|
|
def _print_Pow(self, expr):
|
|
return super(MpmathPrinter, self)._print_Pow(expr, rational=True)
|
|
|
|
|
|
for k in NumExprPrinter._numexpr_functions:
|
|
setattr(NumExprPrinter, '_print_%s' % k, NumExprPrinter._print_Function)
|
|
|
|
def lambdarepr(expr, **settings):
|
|
"""
|
|
Returns a string usable for lambdifying.
|
|
"""
|
|
return LambdaPrinter(settings).doprint(expr)
|