Spaces:
Sleeping
Sleeping
""" | |
Rust code printer | |
The `RustCodePrinter` converts SymPy expressions into Rust expressions. | |
A complete code generator, which uses `rust_code` extensively, can be found | |
in `sympy.utilities.codegen`. The `codegen` module can be used to generate | |
complete source code files. | |
""" | |
# Possible Improvement | |
# | |
# * make sure we follow Rust Style Guidelines_ | |
# * make use of pattern matching | |
# * better support for reference | |
# * generate generic code and use trait to make sure they have specific methods | |
# * use crates_ to get more math support | |
# - num_ | |
# + BigInt_, BigUint_ | |
# + Complex_ | |
# + Rational64_, Rational32_, BigRational_ | |
# | |
# .. _crates: https://crates.io/ | |
# .. _Guidelines: https://github.com/rust-lang/rust/tree/master/src/doc/style | |
# .. _num: http://rust-num.github.io/num/num/ | |
# .. _BigInt: http://rust-num.github.io/num/num/bigint/struct.BigInt.html | |
# .. _BigUint: http://rust-num.github.io/num/num/bigint/struct.BigUint.html | |
# .. _Complex: http://rust-num.github.io/num/num/complex/struct.Complex.html | |
# .. _Rational32: http://rust-num.github.io/num/num/rational/type.Rational32.html | |
# .. _Rational64: http://rust-num.github.io/num/num/rational/type.Rational64.html | |
# .. _BigRational: http://rust-num.github.io/num/num/rational/type.BigRational.html | |
from __future__ import annotations | |
from typing import Any | |
from sympy.core import S, Rational, Float, Lambda | |
from sympy.core.numbers import equal_valued | |
from sympy.printing.codeprinter import CodePrinter | |
# Rust's methods for integer and float can be found at here : | |
# | |
# * `Rust - Primitive Type f64 <https://doc.rust-lang.org/std/primitive.f64.html>`_ | |
# * `Rust - Primitive Type i64 <https://doc.rust-lang.org/std/primitive.i64.html>`_ | |
# | |
# Function Style : | |
# | |
# 1. args[0].func(args[1:]), method with arguments | |
# 2. args[0].func(), method without arguments | |
# 3. args[1].func(), method without arguments (e.g. (e, x) => x.exp()) | |
# 4. func(args), function with arguments | |
# dictionary mapping SymPy function to (argument_conditions, Rust_function). | |
# Used in RustCodePrinter._print_Function(self) | |
# f64 method in Rust | |
known_functions = { | |
# "": "is_nan", | |
# "": "is_infinite", | |
# "": "is_finite", | |
# "": "is_normal", | |
# "": "classify", | |
"floor": "floor", | |
"ceiling": "ceil", | |
# "": "round", | |
# "": "trunc", | |
# "": "fract", | |
"Abs": "abs", | |
"sign": "signum", | |
# "": "is_sign_positive", | |
# "": "is_sign_negative", | |
# "": "mul_add", | |
"Pow": [(lambda base, exp: equal_valued(exp, -1), "recip", 2), # 1.0/x | |
(lambda base, exp: equal_valued(exp, 0.5), "sqrt", 2), # x ** 0.5 | |
(lambda base, exp: equal_valued(exp, -0.5), "sqrt().recip", 2), # 1/(x ** 0.5) | |
(lambda base, exp: exp == Rational(1, 3), "cbrt", 2), # x ** (1/3) | |
(lambda base, exp: equal_valued(base, 2), "exp2", 3), # 2 ** x | |
(lambda base, exp: exp.is_integer, "powi", 1), # x ** y, for i32 | |
(lambda base, exp: not exp.is_integer, "powf", 1)], # x ** y, for f64 | |
"exp": [(lambda exp: True, "exp", 2)], # e ** x | |
"log": "ln", | |
# "": "log", # number.log(base) | |
# "": "log2", | |
# "": "log10", | |
# "": "to_degrees", | |
# "": "to_radians", | |
"Max": "max", | |
"Min": "min", | |
# "": "hypot", # (x**2 + y**2) ** 0.5 | |
"sin": "sin", | |
"cos": "cos", | |
"tan": "tan", | |
"asin": "asin", | |
"acos": "acos", | |
"atan": "atan", | |
"atan2": "atan2", | |
# "": "sin_cos", | |
# "": "exp_m1", # e ** x - 1 | |
# "": "ln_1p", # ln(1 + x) | |
"sinh": "sinh", | |
"cosh": "cosh", | |
"tanh": "tanh", | |
"asinh": "asinh", | |
"acosh": "acosh", | |
"atanh": "atanh", | |
"sqrt": "sqrt", # To enable automatic rewrites | |
} | |
# i64 method in Rust | |
# known_functions_i64 = { | |
# "": "min_value", | |
# "": "max_value", | |
# "": "from_str_radix", | |
# "": "count_ones", | |
# "": "count_zeros", | |
# "": "leading_zeros", | |
# "": "trainling_zeros", | |
# "": "rotate_left", | |
# "": "rotate_right", | |
# "": "swap_bytes", | |
# "": "from_be", | |
# "": "from_le", | |
# "": "to_be", # to big endian | |
# "": "to_le", # to little endian | |
# "": "checked_add", | |
# "": "checked_sub", | |
# "": "checked_mul", | |
# "": "checked_div", | |
# "": "checked_rem", | |
# "": "checked_neg", | |
# "": "checked_shl", | |
# "": "checked_shr", | |
# "": "checked_abs", | |
# "": "saturating_add", | |
# "": "saturating_sub", | |
# "": "saturating_mul", | |
# "": "wrapping_add", | |
# "": "wrapping_sub", | |
# "": "wrapping_mul", | |
# "": "wrapping_div", | |
# "": "wrapping_rem", | |
# "": "wrapping_neg", | |
# "": "wrapping_shl", | |
# "": "wrapping_shr", | |
# "": "wrapping_abs", | |
# "": "overflowing_add", | |
# "": "overflowing_sub", | |
# "": "overflowing_mul", | |
# "": "overflowing_div", | |
# "": "overflowing_rem", | |
# "": "overflowing_neg", | |
# "": "overflowing_shl", | |
# "": "overflowing_shr", | |
# "": "overflowing_abs", | |
# "Pow": "pow", | |
# "Abs": "abs", | |
# "sign": "signum", | |
# "": "is_positive", | |
# "": "is_negnative", | |
# } | |
# These are the core reserved words in the Rust language. Taken from: | |
# http://doc.rust-lang.org/grammar.html#keywords | |
reserved_words = ['abstract', | |
'alignof', | |
'as', | |
'become', | |
'box', | |
'break', | |
'const', | |
'continue', | |
'crate', | |
'do', | |
'else', | |
'enum', | |
'extern', | |
'false', | |
'final', | |
'fn', | |
'for', | |
'if', | |
'impl', | |
'in', | |
'let', | |
'loop', | |
'macro', | |
'match', | |
'mod', | |
'move', | |
'mut', | |
'offsetof', | |
'override', | |
'priv', | |
'proc', | |
'pub', | |
'pure', | |
'ref', | |
'return', | |
'Self', | |
'self', | |
'sizeof', | |
'static', | |
'struct', | |
'super', | |
'trait', | |
'true', | |
'type', | |
'typeof', | |
'unsafe', | |
'unsized', | |
'use', | |
'virtual', | |
'where', | |
'while', | |
'yield'] | |
class RustCodePrinter(CodePrinter): | |
"""A printer to convert SymPy expressions to strings of Rust code""" | |
printmethod = "_rust_code" | |
language = "Rust" | |
_default_settings: dict[str, Any] = dict(CodePrinter._default_settings, **{ | |
'precision': 17, | |
'user_functions': {}, | |
'contract': True, | |
'dereference': set(), | |
}) | |
def __init__(self, settings={}): | |
CodePrinter.__init__(self, settings) | |
self.known_functions = dict(known_functions) | |
userfuncs = settings.get('user_functions', {}) | |
self.known_functions.update(userfuncs) | |
self._dereference = set(settings.get('dereference', [])) | |
self.reserved_words = set(reserved_words) | |
def _rate_index_position(self, p): | |
return p*5 | |
def _get_statement(self, codestring): | |
return "%s;" % codestring | |
def _get_comment(self, text): | |
return "// %s" % text | |
def _declare_number_const(self, name, value): | |
return "const %s: f64 = %s;" % (name, value) | |
def _format_code(self, lines): | |
return self.indent_code(lines) | |
def _traverse_matrix_indices(self, mat): | |
rows, cols = mat.shape | |
return ((i, j) for i in range(rows) for j in range(cols)) | |
def _get_loop_opening_ending(self, indices): | |
open_lines = [] | |
close_lines = [] | |
loopstart = "for %(var)s in %(start)s..%(end)s {" | |
for i in indices: | |
# Rust arrays start at 0 and end at dimension-1 | |
open_lines.append(loopstart % { | |
'var': self._print(i), | |
'start': self._print(i.lower), | |
'end': self._print(i.upper + 1)}) | |
close_lines.append("}") | |
return open_lines, close_lines | |
def _print_caller_var(self, expr): | |
if len(expr.args) > 1: | |
# for something like `sin(x + y + z)`, | |
# make sure we can get '(x + y + z).sin()' | |
# instead of 'x + y + z.sin()' | |
return '(' + self._print(expr) + ')' | |
elif expr.is_number: | |
return self._print(expr, _type=True) | |
else: | |
return self._print(expr) | |
def _print_Function(self, expr): | |
""" | |
basic function for printing `Function` | |
Function Style : | |
1. args[0].func(args[1:]), method with arguments | |
2. args[0].func(), method without arguments | |
3. args[1].func(), method without arguments (e.g. (e, x) => x.exp()) | |
4. func(args), function with arguments | |
""" | |
if expr.func.__name__ in self.known_functions: | |
cond_func = self.known_functions[expr.func.__name__] | |
func = None | |
style = 1 | |
if isinstance(cond_func, str): | |
func = cond_func | |
else: | |
for cond, func, style in cond_func: | |
if cond(*expr.args): | |
break | |
if func is not None: | |
if style == 1: | |
ret = "%(var)s.%(method)s(%(args)s)" % { | |
'var': self._print_caller_var(expr.args[0]), | |
'method': func, | |
'args': self.stringify(expr.args[1:], ", ") if len(expr.args) > 1 else '' | |
} | |
elif style == 2: | |
ret = "%(var)s.%(method)s()" % { | |
'var': self._print_caller_var(expr.args[0]), | |
'method': func, | |
} | |
elif style == 3: | |
ret = "%(var)s.%(method)s()" % { | |
'var': self._print_caller_var(expr.args[1]), | |
'method': func, | |
} | |
else: | |
ret = "%(func)s(%(args)s)" % { | |
'func': func, | |
'args': self.stringify(expr.args, ", "), | |
} | |
return ret | |
elif hasattr(expr, '_imp_') and isinstance(expr._imp_, Lambda): | |
# inlined function | |
return self._print(expr._imp_(*expr.args)) | |
elif expr.func.__name__ in self._rewriteable_functions: | |
# Simple rewrite to supported function possible | |
target_f, required_fs = self._rewriteable_functions[expr.func.__name__] | |
if self._can_print(target_f) and all(self._can_print(f) for f in required_fs): | |
return self._print(expr.rewrite(target_f)) | |
else: | |
return self._print_not_supported(expr) | |
def _print_Pow(self, expr): | |
if expr.base.is_integer and not expr.exp.is_integer: | |
expr = type(expr)(Float(expr.base), expr.exp) | |
return self._print(expr) | |
return self._print_Function(expr) | |
def _print_Float(self, expr, _type=False): | |
ret = super()._print_Float(expr) | |
if _type: | |
return ret + '_f64' | |
else: | |
return ret | |
def _print_Integer(self, expr, _type=False): | |
ret = super()._print_Integer(expr) | |
if _type: | |
return ret + '_i32' | |
else: | |
return ret | |
def _print_Rational(self, expr): | |
p, q = int(expr.p), int(expr.q) | |
return '%d_f64/%d.0' % (p, q) | |
def _print_Relational(self, expr): | |
lhs_code = self._print(expr.lhs) | |
rhs_code = self._print(expr.rhs) | |
op = expr.rel_op | |
return "{} {} {}".format(lhs_code, op, rhs_code) | |
def _print_Indexed(self, expr): | |
# calculate index for 1d array | |
dims = expr.shape | |
elem = S.Zero | |
offset = S.One | |
for i in reversed(range(expr.rank)): | |
elem += expr.indices[i]*offset | |
offset *= dims[i] | |
return "%s[%s]" % (self._print(expr.base.label), self._print(elem)) | |
def _print_Idx(self, expr): | |
return expr.label.name | |
def _print_Dummy(self, expr): | |
return expr.name | |
def _print_Exp1(self, expr, _type=False): | |
return "E" | |
def _print_Pi(self, expr, _type=False): | |
return 'PI' | |
def _print_Infinity(self, expr, _type=False): | |
return 'INFINITY' | |
def _print_NegativeInfinity(self, expr, _type=False): | |
return 'NEG_INFINITY' | |
def _print_BooleanTrue(self, expr, _type=False): | |
return "true" | |
def _print_BooleanFalse(self, expr, _type=False): | |
return "false" | |
def _print_bool(self, expr, _type=False): | |
return str(expr).lower() | |
def _print_NaN(self, expr, _type=False): | |
return "NAN" | |
def _print_Piecewise(self, expr): | |
if expr.args[-1].cond != True: | |
# We need the last conditional to be a True, otherwise the resulting | |
# function may not return a result. | |
raise ValueError("All Piecewise expressions must contain an " | |
"(expr, True) statement to be used as a default " | |
"condition. Without one, the generated " | |
"expression may not evaluate to anything under " | |
"some condition.") | |
lines = [] | |
for i, (e, c) in enumerate(expr.args): | |
if i == 0: | |
lines.append("if (%s) {" % self._print(c)) | |
elif i == len(expr.args) - 1 and c == True: | |
lines[-1] += " else {" | |
else: | |
lines[-1] += " else if (%s) {" % self._print(c) | |
code0 = self._print(e) | |
lines.append(code0) | |
lines.append("}") | |
if self._settings['inline']: | |
return " ".join(lines) | |
else: | |
return "\n".join(lines) | |
def _print_ITE(self, expr): | |
from sympy.functions import Piecewise | |
return self._print(expr.rewrite(Piecewise, deep=False)) | |
def _print_MatrixBase(self, A): | |
if A.cols == 1: | |
return "[%s]" % ", ".join(self._print(a) for a in A) | |
else: | |
raise ValueError("Full Matrix Support in Rust need Crates (https://crates.io/keywords/matrix).") | |
def _print_SparseRepMatrix(self, mat): | |
# do not allow sparse matrices to be made dense | |
return self._print_not_supported(mat) | |
def _print_MatrixElement(self, expr): | |
return "%s[%s]" % (expr.parent, | |
expr.j + expr.i*expr.parent.shape[1]) | |
def _print_Symbol(self, expr): | |
name = super()._print_Symbol(expr) | |
if expr in self._dereference: | |
return '(*%s)' % name | |
else: | |
return name | |
def _print_Assignment(self, expr): | |
from sympy.tensor.indexed import IndexedBase | |
lhs = expr.lhs | |
rhs = expr.rhs | |
if self._settings["contract"] and (lhs.has(IndexedBase) or | |
rhs.has(IndexedBase)): | |
# Here we check if there is looping to be done, and if so | |
# print the required loops. | |
return self._doprint_loops(rhs, lhs) | |
else: | |
lhs_code = self._print(lhs) | |
rhs_code = self._print(rhs) | |
return self._get_statement("%s = %s" % (lhs_code, rhs_code)) | |
def indent_code(self, code): | |
"""Accepts a string of code or a list of code lines""" | |
if isinstance(code, str): | |
code_lines = self.indent_code(code.splitlines(True)) | |
return ''.join(code_lines) | |
tab = " " | |
inc_token = ('{', '(', '{\n', '(\n') | |
dec_token = ('}', ')') | |
code = [ line.lstrip(' \t') for line in code ] | |
increase = [ int(any(map(line.endswith, inc_token))) for line in code ] | |
decrease = [ int(any(map(line.startswith, dec_token))) | |
for line in code ] | |
pretty = [] | |
level = 0 | |
for n, line in enumerate(code): | |
if line in ('', '\n'): | |
pretty.append(line) | |
continue | |
level -= decrease[n] | |
pretty.append("%s%s" % (tab*level, line)) | |
level += increase[n] | |
return pretty | |
def rust_code(expr, assign_to=None, **settings): | |
"""Converts an expr to a string of Rust code | |
Parameters | |
========== | |
expr : Expr | |
A SymPy expression to be converted. | |
assign_to : optional | |
When given, the argument is used as the name of the variable to which | |
the expression is assigned. Can be a string, ``Symbol``, | |
``MatrixSymbol``, or ``Indexed`` type. This is helpful in case of | |
line-wrapping, or for expressions that generate multi-line statements. | |
precision : integer, optional | |
The precision for numbers such as pi [default=15]. | |
user_functions : dict, optional | |
A dictionary where the keys are string representations of either | |
``FunctionClass`` or ``UndefinedFunction`` instances and the values | |
are their desired C string representations. Alternatively, the | |
dictionary value can be a list of tuples i.e. [(argument_test, | |
cfunction_string)]. See below for examples. | |
dereference : iterable, optional | |
An iterable of symbols that should be dereferenced in the printed code | |
expression. These would be values passed by address to the function. | |
For example, if ``dereference=[a]``, the resulting code would print | |
``(*a)`` instead of ``a``. | |
human : bool, optional | |
If True, the result is a single string that may contain some constant | |
declarations for the number symbols. If False, the same information is | |
returned in a tuple of (symbols_to_declare, not_supported_functions, | |
code_text). [default=True]. | |
contract: bool, optional | |
If True, ``Indexed`` instances are assumed to obey tensor contraction | |
rules and the corresponding nested loops over indices are generated. | |
Setting contract=False will not generate loops, instead the user is | |
responsible to provide values for the indices in the code. | |
[default=True]. | |
Examples | |
======== | |
>>> from sympy import rust_code, symbols, Rational, sin, ceiling, Abs, Function | |
>>> x, tau = symbols("x, tau") | |
>>> rust_code((2*tau)**Rational(7, 2)) | |
'8*1.4142135623731*tau.powf(7_f64/2.0)' | |
>>> rust_code(sin(x), assign_to="s") | |
's = x.sin();' | |
Simple custom printing can be defined for certain types by passing a | |
dictionary of {"type" : "function"} to the ``user_functions`` kwarg. | |
Alternatively, the dictionary value can be a list of tuples i.e. | |
[(argument_test, cfunction_string)]. | |
>>> custom_functions = { | |
... "ceiling": "CEIL", | |
... "Abs": [(lambda x: not x.is_integer, "fabs", 4), | |
... (lambda x: x.is_integer, "ABS", 4)], | |
... "func": "f" | |
... } | |
>>> func = Function('func') | |
>>> rust_code(func(Abs(x) + ceiling(x)), user_functions=custom_functions) | |
'(fabs(x) + x.CEIL()).f()' | |
``Piecewise`` expressions are converted into conditionals. If an | |
``assign_to`` variable is provided an if statement is created, otherwise | |
the ternary operator is used. Note that if the ``Piecewise`` lacks a | |
default term, represented by ``(expr, True)`` then an error will be thrown. | |
This is to prevent generating an expression that may not evaluate to | |
anything. | |
>>> from sympy import Piecewise | |
>>> expr = Piecewise((x + 1, x > 0), (x, True)) | |
>>> print(rust_code(expr, tau)) | |
tau = if (x > 0) { | |
x + 1 | |
} else { | |
x | |
}; | |
Support for loops is provided through ``Indexed`` types. With | |
``contract=True`` these expressions will be turned into loops, whereas | |
``contract=False`` will just print the assignment expression that should be | |
looped over: | |
>>> from sympy import Eq, IndexedBase, Idx | |
>>> len_y = 5 | |
>>> y = IndexedBase('y', shape=(len_y,)) | |
>>> t = IndexedBase('t', shape=(len_y,)) | |
>>> Dy = IndexedBase('Dy', shape=(len_y-1,)) | |
>>> i = Idx('i', len_y-1) | |
>>> e=Eq(Dy[i], (y[i+1]-y[i])/(t[i+1]-t[i])) | |
>>> rust_code(e.rhs, assign_to=e.lhs, contract=False) | |
'Dy[i] = (y[i + 1] - y[i])/(t[i + 1] - t[i]);' | |
Matrices are also supported, but a ``MatrixSymbol`` of the same dimensions | |
must be provided to ``assign_to``. Note that any expression that can be | |
generated normally can also exist inside a Matrix: | |
>>> from sympy import Matrix, MatrixSymbol | |
>>> mat = Matrix([x**2, Piecewise((x + 1, x > 0), (x, True)), sin(x)]) | |
>>> A = MatrixSymbol('A', 3, 1) | |
>>> print(rust_code(mat, A)) | |
A = [x.powi(2), if (x > 0) { | |
x + 1 | |
} else { | |
x | |
}, x.sin()]; | |
""" | |
return RustCodePrinter(settings).doprint(expr, assign_to) | |
def print_rust_code(expr, **settings): | |
"""Prints Rust representation of the given expression.""" | |
print(rust_code(expr, **settings)) | |