update a lot, take a break
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91
src/tensorneat/common/sympy_tools.py
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91
src/tensorneat/common/sympy_tools.py
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import re
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import sympy as sp
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def analysis_nodes_exprs(nodes_exprs):
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input_cnt, hidden_cnt, output_cnt = 0, 0, 0
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norm_symbols = {}
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for key in nodes_exprs.keys():
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if str(key).startswith('i'):
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input_cnt += 1
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elif str(key).startswith('h'):
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hidden_cnt += 1
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elif str(key).startswith('o'):
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output_cnt += 1
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elif str(key).startswith('norm'):
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norm_symbols[key] = nodes_exprs[key]
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return input_cnt, hidden_cnt, output_cnt, norm_symbols
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def round_expr(expr, precision=2):
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"""
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Round numerical values in a sympy expression to a given precision.
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"""
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return expr.xreplace({n: round(n, precision) for n in expr.atoms(sp.Number)})
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def replace_variable_names(expression):
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"""
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Transform sympy expression to a string with array index that can be used in python code.
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For example, `o0` will be transformed to `o[0]`.
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"""
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expression_str = str(expression)
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expression_str = re.sub(r"\bo(\d+)\b", r"o[\1]", expression_str)
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expression_str = re.sub(r"\bh(\d+)\b", r"h[\1]", expression_str)
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expression_str = re.sub(r"\bi(\d+)\b", r"i[\1]", expression_str)
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return expression_str
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def to_latex_code(symbols, args_symbols, input_symbols, nodes_exprs, output_exprs, use_hidden_nodes=True):
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input_cnt, hidden_cnt, output_cnt, norm_symbols = analysis_nodes_exprs(nodes_exprs)
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res = "\\begin{align}\n"
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if not use_hidden_nodes:
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for i in range(output_cnt):
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expr = output_exprs[i].subs(args_symbols)
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rounded_expr = round_expr(expr, 2)
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latex_expr = f"o_{{{sp.latex(i)}}} &= {sp.latex(rounded_expr)}\\newline\n"
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res += latex_expr
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else:
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for i in range(hidden_cnt):
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symbol = sp.symbols(f"h{i}")
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expr = nodes_exprs[symbol].subs(args_symbols).subs(norm_symbols)
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rounded_expr = round_expr(expr, 2)
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latex_expr = f"h_{{{sp.latex(i)}}} &= {sp.latex(rounded_expr)}\\newline\n"
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res += latex_expr
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for i in range(output_cnt):
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symbol = sp.symbols(f"o{i}")
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expr = nodes_exprs[symbol].subs(args_symbols).subs(norm_symbols)
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rounded_expr = round_expr(expr, 2)
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latex_expr = f"o_{{{sp.latex(i)}}} &= {sp.latex(rounded_expr)}\\newline\n"
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res += latex_expr
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res += "\\end{align}\n"
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return res
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def to_python_code(symbols, args_symbols, input_symbols, nodes_exprs, output_exprs, use_hidden_nodes=True):
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input_cnt, hidden_cnt, output_cnt, norm_symbols = analysis_nodes_exprs(nodes_exprs)
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res = ""
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if not use_hidden_nodes:
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# pre-allocate space
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res += f"o = np.zeros({output_cnt})\n"
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for i in range(output_cnt):
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expr = output_exprs[i].subs(args_symbols)
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rounded_expr = round_expr(expr, 6)
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str_expr = f"o{i} = {rounded_expr}"
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res += replace_variable_names(str_expr) + "\n"
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else:
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# pre-allocate space
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res += f"h = np.zeros({hidden_cnt})\n"
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res += f"o = np.zeros({output_cnt})\n"
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for i in range(hidden_cnt):
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symbol = sp.symbols(f"h{i}")
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expr = nodes_exprs[symbol].subs(args_symbols).subs(norm_symbols)
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rounded_expr = round_expr(expr, 6)
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str_expr = f"h{i} = {rounded_expr}"
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res += replace_variable_names(str_expr) + "\n"
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for i in range(output_cnt):
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symbol = sp.symbols(f"o{i}")
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expr = nodes_exprs[symbol].subs(args_symbols).subs(norm_symbols)
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rounded_expr = round_expr(expr, 6)
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str_expr = f"o{i} = {rounded_expr}"
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res += replace_variable_names(str_expr) + "\n"
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return res
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