def expression_indexed(expr, parameters):
aggregate, multiindex = (expression(c, parameters) for c in expr.children)
return pym.Subscript(aggregate, multiindex)
extents = [int(numpy.prod(expr.aggregate.shape[i+1:])) for i in range(len(multiindex))]
make_sum = lambda x, y: pym.Sum((x, y))
index = reduce(make_sum, [pym.Product((e, m)) for e, m in zip(extents, multiindex)])
return pym.Subscript(aggregate, (index,))
def map_constant(self, expr):
"""Convert complex values not within complex64 to a product for loopy
"""
if not isinstance(expr, complex):
return IdentityMapper.map_constant(self, expr)
if complex(self.float_type(expr.imag)) == expr.imag:
return IdentityMapper.map_constant(self, expr)
return expr.real + prim.Product((expr.imag, 1j))
def _expression_flexiblyindexed(expr, ctx):
var = expression(expr.children[0], ctx)
rank = []
for off, idxs in expr.dim2idxs:
for index, stride in idxs:
assert isinstance(index, gem.Index)
rank_ = [off]
for index, stride in idxs:
rank_.append(p.Product((ctx.active_indices[index], stride)))
rank.append(p.Sum(tuple(rank_)))
return p.Subscript(var, tuple(rank))
def test_field_diff(proc_shape):
if proc_shape != (1, 1, 1):
pytest.skip("test field only on one rank")
from pystella import diff
y = ps.Field("y")
assert diff(y, y) == 1
assert diff(y[0], y[0]) == 1
assert diff(y[0], y[1]) == 0
y = ps.DynamicField("y")
assert diff(y, y) == 1
assert diff(y[0], y[0]) == 1
assert diff(y[0], y[1]) == 0
import pymbolic.primitives as pp
assert diff(y**3, y, "t") == pp.Product((3, 2, y, y.d(0)))
assert diff(y**3, "t", y) == pp.Product((3, y.d(0), 2, y))
for i, x in enumerate(["t", "x", "y", "z"]):
assert diff(y, x) == y.d(i)
assert diff(y[1, 3], x) == y.d(1, 3, i)
assert diff(y[1]**2, x) == 2 * y[1] * y.d(1, i)
def _expression_product(expr, ctx):
return p.Product(tuple(expression(c, ctx) for c in expr.children))
def _mult(x, y):
return p.Product((x, y))
def _sub(x, y):
return p.Sum((x, p.Product(((-1), y))))
def map_Mul(self, expr):
return prim.Product(tuple(self.rec(arg) for arg in expr.args))
def _mult(x, y): # noqa
return p.Product((x, y))
def _neg(x): # noqa
return p.Product((-1), x)
def parse_postfix(self, pstate, min_precedence, left_exp):
import pymbolic.primitives as primitives
did_something = False
next_tag = pstate.next_tag()
if next_tag is _openpar and _PREC_CALL > min_precedence:
pstate.advance()
args, kwargs = self.parse_arglist(pstate)
if kwargs:
left_exp = primitives.CallWithKwargs(left_exp, args, kwargs)
else:
left_exp = primitives.Call(left_exp, args)
did_something = True
elif next_tag is _openbracket and _PREC_CALL > min_precedence:
pstate.advance()
pstate.expect_not_end()
left_exp = primitives.Subscript(left_exp, self.parse_expression(pstate))
pstate.expect(_closebracket)
pstate.advance()
did_something = True
elif next_tag is _if and _PREC_IF > min_precedence:
from pymbolic.primitives import If
then_expr = left_exp
pstate.advance()
pstate.expect_not_end()
condition = self.parse_expression(pstate, _PREC_LOGICAL_OR)
pstate.expect(_else)
pstate.advance()
else_expr = self.parse_expression(pstate)
left_exp = If(condition, then_expr, else_expr)
did_something = True
elif next_tag is _dot and _PREC_CALL > min_precedence:
pstate.advance()
pstate.expect(_identifier)
left_exp = primitives.Lookup(left_exp, pstate.next_str())
pstate.advance()
did_something = True
elif next_tag is _plus and _PREC_PLUS > min_precedence:
pstate.advance()
right_exp = self.parse_expression(pstate, _PREC_PLUS)
if isinstance(left_exp, primitives.Sum):
left_exp = primitives.Sum(left_exp.children + (right_exp,))
else:
left_exp = primitives.Sum((left_exp, right_exp))
did_something = True
elif next_tag is _minus and _PREC_PLUS > min_precedence:
pstate.advance()
right_exp = self.parse_expression(pstate, _PREC_PLUS)
if isinstance(left_exp, primitives.Sum):
left_exp = primitives.Sum(left_exp.children + ((-right_exp),)) # noqa pylint:disable=invalid-unary-operand-type
else:
left_exp = primitives.Sum((left_exp, -right_exp)) # noqa pylint:disable=invalid-unary-operand-type
did_something = True
elif next_tag is _times and _PREC_TIMES > min_precedence:
pstate.advance()
right_exp = self.parse_expression(pstate, _PREC_PLUS)
if isinstance(left_exp, primitives.Product):
left_exp = primitives.Product(left_exp.children + (right_exp,))
else:
left_exp = primitives.Product((left_exp, right_exp))
did_something = True
elif next_tag is _floordiv and _PREC_TIMES > min_precedence:
pstate.advance()
left_exp = primitives.FloorDiv(
left_exp, self.parse_expression(pstate, _PREC_TIMES))
did_something = True
elif next_tag is _over and _PREC_TIMES > min_precedence:
pstate.advance()
left_exp = primitives.Quotient(
left_exp, self.parse_expression(pstate, _PREC_TIMES))
did_something = True
elif next_tag is _modulo and _PREC_TIMES > min_precedence:
pstate.advance()
left_exp = primitives.Remainder(
left_exp, self.parse_expression(pstate, _PREC_TIMES))
did_something = True
elif next_tag is _power and _PREC_POWER > min_precedence:
pstate.advance()
left_exp = primitives.Power(
left_exp, self.parse_expression(pstate, _PREC_TIMES))
did_something = True
elif next_tag is _and and _PREC_LOGICAL_AND > min_precedence:
pstate.advance()
from pymbolic.primitives import LogicalAnd
left_exp = LogicalAnd((
left_exp,
self.parse_expression(pstate, _PREC_LOGICAL_AND)))
did_something = True
elif next_tag is _or and _PREC_LOGICAL_OR > min_precedence:
pstate.advance()
from pymbolic.primitives import LogicalOr
left_exp = LogicalOr((
left_exp,
self.parse_expression(pstate, _PREC_LOGICAL_OR)))
did_something = True
elif next_tag is _bitwiseor and _PREC_BITWISE_OR > min_precedence:
pstate.advance()
from pymbolic.primitives import BitwiseOr
left_exp = BitwiseOr((
left_exp,
self.parse_expression(pstate, _PREC_BITWISE_OR)))
did_something = True
elif next_tag is _bitwisexor and _PREC_BITWISE_XOR > min_precedence:
pstate.advance()
from pymbolic.primitives import BitwiseXor
left_exp = BitwiseXor((
left_exp,
self.parse_expression(pstate, _PREC_BITWISE_XOR)))
did_something = True
elif next_tag is _bitwiseand and _PREC_BITWISE_AND > min_precedence:
pstate.advance()
from pymbolic.primitives import BitwiseAnd
left_exp = BitwiseAnd((
left_exp,
self.parse_expression(pstate, _PREC_BITWISE_AND)))
did_something = True
elif next_tag is _rightshift and _PREC_SHIFT > min_precedence:
pstate.advance()
from pymbolic.primitives import RightShift
left_exp = RightShift(
left_exp,
self.parse_expression(pstate, _PREC_SHIFT))
did_something = True
elif next_tag is _leftshift and _PREC_SHIFT > min_precedence:
pstate.advance()
from pymbolic.primitives import LeftShift
left_exp = LeftShift(
left_exp,
self.parse_expression(pstate, _PREC_SHIFT))
did_something = True
elif next_tag in self._COMP_TABLE and _PREC_COMPARISON > min_precedence:
pstate.advance()
from pymbolic.primitives import Comparison
left_exp = Comparison(
left_exp,
self._COMP_TABLE[next_tag],
self.parse_expression(pstate, _PREC_COMPARISON))
did_something = True
elif next_tag is _colon and _PREC_SLICE >= min_precedence:
pstate.advance()
expr_pstate = pstate.copy()
assert not isinstance(left_exp, primitives.Slice)
from pytools.lex import ParseError
try:
next_expr = self.parse_expression(expr_pstate, _PREC_SLICE)
except ParseError:
# no expression follows, too bad.
left_exp = primitives.Slice((left_exp, None,))
else:
left_exp = _join_to_slice(left_exp, next_expr)
pstate.assign(expr_pstate)
did_something = True
elif next_tag is _comma and _PREC_COMMA > min_precedence:
# The precedence makes the comma left-associative.
pstate.advance()
if pstate.is_at_end() or pstate.next_tag() is _closepar:
if isinstance(left_exp, (tuple, list)) \
and not isinstance(left_exp, FinalizedContainer):
# left_expr is a container with trailing commas
pass
else:
left_exp = (left_exp,)
else:
new_el = self.parse_expression(pstate, _PREC_COMMA)
if isinstance(left_exp, (tuple, list)) \
and not isinstance(left_exp, FinalizedContainer):
left_exp = left_exp + (new_el,)
else:
left_exp = (left_exp, new_el)
did_something = True
return left_exp, did_something
