# Copyright 2022 Huawei Technologies Co., Ltd
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
# ============================================================================
"""
parse sympy equations
"""
from __future__ import absolute_import
import sympy
from mindspore import jit_class
from .sympy_translation import SympyTranslation
@jit_class
class FormulaNode:
"""
The root node for sympy expression.
Args:
eq_name (str): the name of sympy expression.
"""
def __init__(self, eq_name):
self.name = eq_name
self.nodes = list()
self.max_order = 0
def compute(self, data):
rst = list()
for node in self.nodes:
cur_node_rst = node.compute(data)
rst.append(cur_node_rst)
return sum(rst)
def _make_nodes(equations, in_vars, out_vars, params=None):
graph_nodes = list()
for name, formula in equations.items():
formula_node = FormulaNode(name)
SympyTranslation(sympy.expand(formula), formula_node, in_vars, out_vars, params)
graph_nodes.append(formula_node)
return graph_nodes
[文档]def sympy_to_mindspore(equations, in_vars, out_vars, params=None):
"""
The sympy expression to create an identifier for mindspore.
Args:
equations (dict): the item in equations contains the key defined by user and the value is sympy expression.
in_vars (list[sympy.core.Symbol]): list of all input variable symbols, consistent with the dimension of the
input data.
out_vars (list[sympy.core.Function]): list of all output variable symbols, consistent with the dimension of the
output data.
params (list[sympy.core.Function]): list of all parameter variable symbols.
Returns:
List([FormulaNode]), list of expressions node can be identified by mindspore.
Supported Platforms:
``Ascend`` ``GPU``
Examples:
>>> from mindflow.pde import sympy_to_mindspore
>>> from sympy import symbols, Function, diff
>>> x, y = symbols('x, y')
>>> u = Function('u')(x, y)
>>> in_vars = [x, y]
>>> out_vars = [u]
>>> eq1 = x + y
>>> eq2 = diff(u, (x, 1)) + diff(u, (y, 1))
>>> equations = {"eq1": eq1, "eq2": eq2}
>>> res = sympy_to_mindspore(equations, in_vars, out_vars)
>>> print(len(res))
eq1: x + y
Item numbers of current derivative formula nodes: 2
eq2: Derivative(u(x, y), x) + Derivative(u(x, y), y)
Item numbers of current derivative formula nodes: 2
2
"""
converted_equations = _make_nodes(equations, in_vars, out_vars, params)
return converted_equations