AutoAndroidController/py/venv/Lib/site-packages/torch/utils/_sympy/printers.py

import sys
from typing import Optional

import sympy
from sympy.printing.precedence import PRECEDENCE, precedence
from sympy.printing.str import StrPrinter


INDEX_TYPE = "int64_t"
INDEX_TYPE_MAX = (1 << 63) - 1
INDEX_TYPE_MIN = -1 << 63


# This printer contains rules that are supposed to be generic for both C/C++ and
# Python
class ExprPrinter(StrPrinter):
    # override this so that _print_FloorDiv is used
    printmethod = "_torch_sympystr"

    def _print_Mul(self, expr: sympy.Expr) -> str:
        return self.stringify(expr.args, "*", precedence(expr))

    def _print_Not(self, expr: sympy.Expr) -> str:
        return f"not ({self._print(expr.args[0])})"

    def _print_Add(self, expr: sympy.Expr, order: Optional[str] = None) -> str:
        return self.stringify(expr.args, " + ", precedence(expr))

    def _print_Relational(self, expr: sympy.Expr) -> str:
        return self.stringify(expr.args, f" {expr.rel_op} ", precedence(expr))

    def _print_BitwiseFn_bitwise_and(self, expr: sympy.Expr) -> str:
        return self.stringify(expr.args, " & ", PRECEDENCE["BitwiseAnd"])

    def _print_BitwiseFn_bitwise_or(self, expr: sympy.Expr) -> str:
        return self.stringify(expr.args, " | ", PRECEDENCE["BitwiseOr"])

    # NB: this is OK to put here, because Mod is only defined for positive
    # numbers, and so across C/Python its behavior is consistent
    def _print_Mod(self, expr: sympy.Expr) -> str:
        return self.stringify(expr.args, " % ", PRECEDENCE["Atom"] - 0.5)

    def _print_FloatTrueDiv(self, expr: sympy.Expr) -> str:
        s = self.stringify(expr.args, " / ", PRECEDENCE["Atom"] - 0.5)
        return f"({s})"

    def _print_CleanDiv(self, expr: sympy.Expr) -> str:
        return self._print_FloorDiv(expr)

    def _print_Identity(self, expr: sympy.Expr) -> str:
        return self._print(expr.args[0])

    def _print_Float(self, expr: sympy.Expr) -> str:
        if expr._prec == 53:
            # IEEE-754 double precision have 53 bits. SymPy prints them with
            # 15 digits, but we need 17 for round-trip correctness
            return str(sympy.Float(expr, dps=17))
        else:
            # We don't use other precisions in pytorch
            return str(expr)

    # This must be implemented because sympy will collect x * x into Pow(x, 2), without
    # any explicit intervention.  We print it just like x * x, notably, we
    # never generate sympy.Pow with floats.
    #
    # NB: this pow by natural, you should never have used builtin sympy.pow
    # for FloatPow, and a symbolic exponent should be PowByNatural.  These
    # means exp is guaranteed to be integer.
    def _print_Pow(self, expr: sympy.Expr) -> str:
        base, exp = expr.args
        assert exp == int(exp), exp
        exp = int(exp)
        assert exp >= 0
        if exp > 0:
            return self.stringify([base] * exp, "*", PRECEDENCE["Mul"])
        return "1"

    # Explicit NotImplemented functions are to prevent default sympy printing
    # behavior, which will just barf out ToFloat(...) to your IR.  The error
    # message is better here because it tells you which printer class it needs
    # to go in.

    def _print_ToFloat(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(f"_print_ToFloat not implemented for {type(self)}")

    def _print_Infinity(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(f"_print_Infinity not implemented for {type(self)}")

    def _print_NegativeInfinity(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(
            f"_print_NegativeInfinity not implemented for {type(self)}"
        )

    def _print_FloorDiv(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(f"_print_FloorDiv not implemented for {type(self)}")

    def _print_PythonMod(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(f"_print_PythonMod not implemented for {type(self)}")

    def _print_IntTrueDiv(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(f"_print_IntTrueDiv not implemented for {type(self)}")

    def _print_PowByNatural(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(
            f"_print_PowByNatural not implemented for {type(self)}"
        )

    def _print_FloatPow(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(f"_print_FloatPow not implemented for {type(self)}")

    def _print_TruncToInt(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(f"_print_TruncToInt not implemented for {type(self)}")

    def _print_RoundToInt(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(f"_print_RoundToInt not implemented for {type(self)}")

    def _print_RoundDecimal(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(
            f"_print_RoundDecimal not implemented for {type(self)}"
        )

    # NB: Some float operations are INTENTIONALLY not implemented for
    # printers.  You can implement them as a quick unblock, but it is better
    # to ask yourself why we haven't done this computation in the Tensor
    # universe instead

    def _print_TruncToFloat(self, expr: sympy.Expr) -> str:
        raise NotImplementedError(
            f"_print_TruncToFloat not implemented for {type(self)}"
        )


class PythonPrinter(ExprPrinter):
    def _print_ToFloat(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        # NB: We use sym_float here because the printer is used for cache
        # serialization, and cache guards get evaluated with SymInt to
        # propagate guards to the parent ShapeEnv.  However, this comes at a
        # runtime cost for guards involving float.  If this is unacceptable
        # overhead, what you want to do is have two separate printers for
        # SymInt, one for when the inputs are guaranteed to be int, and
        # another for when they could be SymInt.
        #
        # NB: sym_min/sym_max also have this problem, but I chose not to fix
        # those.
        #
        # See https://github.com/pytorch/pytorch/issues/142507 for more
        # context.
        return f"torch.sym_float({self._print(expr.args[0])})"

    def _print_And(self, expr: sympy.Expr) -> str:
        return self.stringify(expr.args, " and ", precedence(expr))

    def _print_Or(self, expr: sympy.Expr) -> str:
        return self.stringify(expr.args, " or ", precedence(expr))

    def _print_ModularIndexing(self, expr: sympy.Expr) -> str:
        x, div, mod = (
            self.parenthesize(arg, PRECEDENCE["Atom"] - 0.5) for arg in expr.args
        )
        if div != "1":
            x = f"({x} // {div})"
        return f"({x} % {mod})"

    def _print_Infinity(self, expr: sympy.Expr) -> str:
        return "math.inf"

    def _print_NegativeInfinity(self, expr: sympy.Expr) -> str:
        return "-math.inf"

    # WARNING: this is dangerous for Triton, which has C-style modulus
    def _print_PythonMod(self, expr: sympy.Expr) -> str:
        return self.stringify(expr.args, " % ", PRECEDENCE["Atom"] - 0.5)

    # WARNING: this is dangerous for Triton, which has C-style modulus
    def _print_FloorDiv(self, expr: sympy.Expr) -> str:
        x, div = (self.parenthesize(arg, PRECEDENCE["Atom"] - 0.5) for arg in expr.args)
        return f"{x} // {div}"

    # WARNING: this is dangerous for Triton, when lhs, rhs > 2**53, Python
    # does a special algorithm
    def _print_IntTrueDiv(self, expr: sympy.Expr) -> str:
        return self.stringify(expr.args, " / ", PRECEDENCE["Atom"] - 0.5)

    def _helper_sqrt(self, expr: sympy.Expr) -> str:
        return f"math.sqrt({self._print(expr)})"

    def _print_OpaqueUnaryFn_sqrt(self, expr: sympy.Expr) -> str:
        return self._helper_sqrt(expr.args[0])

    def _print_FloatPow(self, expr: sympy.Expr) -> str:
        return self.stringify(expr.args, " ** ", PRECEDENCE["Pow"])

    # TODO: Not sure this works with Triton, even when base/exp are integral
    def _print_PowByNatural(self, expr: sympy.Expr) -> str:
        return self.stringify(expr.args, " ** ", PRECEDENCE["Pow"])

    def _print_floor(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.floor({self._print(expr.args[0])})"

    def _print_FloorToInt(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.floor({self._print(expr.args[0])})"

    def _print_TruncToInt(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        # This also could have been int(), they'll do the same thing for float
        return f"math.trunc({self._print(expr.args[0])})"

    def _print_ceiling(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.ceil({self._print(expr.args[0])})"

    def _print_CeilToInt(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.ceil({self._print(expr.args[0])})"

    def _print_Abs(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"abs({self._print(expr.args[0])})"

    # NB: It's expected that we've made explicit any promotion in the sympy
    # expression, so it doesn't matter that Python max/min doesn't perform
    # promotion
    def _print_Max(self, expr: sympy.Expr) -> str:
        assert len(expr.args) >= 2
        return f"max({', '.join(map(self._print, expr.args))})"

    def _print_Min(self, expr: sympy.Expr) -> str:
        assert len(expr.args) >= 2
        return f"min({', '.join(map(self._print, expr.args))})"

    def _print_OpaqueUnaryFn_cos(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.cos({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_cosh(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.cosh({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_acos(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.acos({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_sin(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.sin({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_sinh(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.sinh({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_asin(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.asin({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_tan(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.tan({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_tanh(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.tanh({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_atan(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.atan({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_log2(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"math.log2({self._print(expr.args[0])})"

    def _print_RoundToInt(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"round({self._print(expr.args[0])})"

    def _print_RoundDecimal(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 2
        number, ndigits = expr.args
        assert isinstance(ndigits, sympy.Integer)
        return f"round({self._print(number)}, {ndigits})"


class CppPrinter(ExprPrinter):
    def _print_Integer(self, expr: sympy.Expr) -> str:
        suffix = "LL" if sys.platform in ["darwin", "win32"] else "L"
        i = int(expr)
        if i > INDEX_TYPE_MAX or i < INDEX_TYPE_MIN:
            raise OverflowError(f"{i} too big to convert to {INDEX_TYPE}")
        elif i == INDEX_TYPE_MIN:
            assert i == (-1) << 63
            # Writing -9223372036854775808L makes the value overflow
            # as it is parsed as -(9223372036854775808L) by the C/C++ compiler
            return f"(-1{suffix} << 63)"
        return f"{i}{suffix}"

    def _print_Where(self, expr: sympy.Expr) -> str:
        c, p, q = (
            self.parenthesize(arg, PRECEDENCE["Atom"] - 0.5) for arg in expr.args
        )
        return f"{c} ? {p} : {q}"

    def _print_ModularIndexing(self, expr: sympy.Expr) -> str:
        x, div, mod = expr.args
        x = self.doprint(x)
        if div != 1:
            div = self.doprint(div)
            if expr.is_integer:
                x = f"c10::div_floor_integer(static_cast<int64_t>({x}), static_cast<int64_t>({div}))"
            else:
                x = f"c10::div_floor_floating(static_cast<double>({x}), static_cast<double>({div}))"
        mod = self.doprint(mod)
        return f"(static_cast<{INDEX_TYPE}>({x}) % static_cast<{INDEX_TYPE}>({mod}))"

    def _print_FloorDiv(self, expr: sympy.Expr) -> str:
        x, div = expr.args
        x = self.doprint(x)
        div = self.doprint(div)
        if expr.is_integer:
            return f"c10::div_floor_integer(static_cast<int64_t>({x}), static_cast<int64_t>({div}))"
        return f"c10::div_floor_floating(static_cast<double>({x}), static_cast<double>({div}))"

    def _print_floor(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        r = f"std::floor({self._print(expr.args[0])})"
        return f"static_cast<{INDEX_TYPE}>({r})" if expr.is_integer else r

    def _print_FloorToInt(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        r = f"std::floor({self._print(expr.args[0])})"
        return f"static_cast<{INDEX_TYPE}>({r})" if expr.is_integer else r

    def _print_TruncToInt(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        r = f"std::trunc({self._print(expr.args[0])})"
        return f"static_cast<{INDEX_TYPE}>({r})"

    def _print_TruncToFloat(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"std::trunc({self._print(expr.args[0])})"

    def _print_ToFloat(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"static_cast<double>({self._print(expr.args[0])})"

    def _print_PythonMod(self, expr: sympy.Expr) -> str:
        x, div = expr.args
        x = self.doprint(x)
        div = self.doprint(div)
        return f"c10::div_mod({x}, {div})"

    def _print_IntTrueDiv(self, expr: sympy.Expr) -> str:
        lhs, rhs = expr.args
        # TODO: This is only accurate up to 2**53
        return f"static_cast<double>({self._print(lhs)}) / static_cast<double>({self._print(rhs)})"

    # TODO: PowByNatural: we need to implement our own int-int pow.  Do NOT
    # use std::pow, that operates on floats
    def _print_PowByNatural(self, expr: sympy.Expr) -> str:
        # Implement the special-case of 2**x for now
        base, exp = expr.args
        if base == 2:
            return f"(1 << ({self._print(exp)}))"
        raise NotImplementedError(
            f"_print_PowByNatural not implemented for {type(self)}"
        )

    def _print_FloatPow(self, expr: sympy.Expr) -> str:
        base, exp = expr.args
        return f"std::pow({self._print(base)}, {self._print(exp)})"

    def _print_Pow(self, expr: sympy.Expr) -> str:
        # Uses float constants to perform FP div
        base, exp = expr.args

        if exp == 0.5 or exp == -0.5:
            base = self._print(base)
            return f"std::sqrt({base})" if exp == 0.5 else f"1.0/std::sqrt({base})"
        if exp.is_integer:
            exp = int(exp)
            if exp > 0:
                r = self.stringify([base] * exp, "*", PRECEDENCE["Mul"])
            elif exp < -1:
                r = (
                    "1.0/("
                    + self.stringify([base] * abs(exp), "*", PRECEDENCE["Mul"])
                    + ")"
                )
            elif exp == -1:
                r = "1.0/" + self._print(base)
            else:  # exp == 0
                r = "1.0"

            return f"static_cast<{INDEX_TYPE}>({r})" if expr.is_integer else r
        else:
            # TODO: float vs double
            return f"std::pow({base}, {float(exp)})"

    def _print_Rational(self, expr: sympy.Expr) -> str:
        # Uses float constants to perform FP div
        if expr.q == 1:
            r = f"{expr.p}"
        else:
            r = f"{expr.p}.0/{expr.q}.0"
        return f"static_cast<{INDEX_TYPE}>({r})" if expr.is_integer else r

    def _print_ceiling(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        r = f"std::ceil({self._print(expr.args[0])})"
        return f"static_cast<{INDEX_TYPE}>({r})" if expr.is_integer else r

    def _print_CeilToInt(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        r = f"std::ceil({self._print(expr.args[0])})"
        return f"static_cast<{INDEX_TYPE}>({r})" if expr.is_integer else r

    def _print_Min(self, expr: sympy.Expr) -> str:
        args = [self._print(a) for a in expr.args]
        if len(args) == 2:
            return f"std::min(static_cast<{INDEX_TYPE}>({args[0]}), static_cast<{INDEX_TYPE}>({args[1]}))"
        else:
            # Initializer list overload
            il = "{" + ", ".join(args) + "}"
            return f"std::min<{INDEX_TYPE}>({il})"

    def _print_Max(self, expr: sympy.Expr) -> str:
        args = [self._print(a) for a in expr.args]
        if len(args) == 2:
            return f"std::max(static_cast<{INDEX_TYPE}>({args[0]}), static_cast<{INDEX_TYPE}>({args[1]}))"
        else:
            # Initializer list overload
            il = "{" + ", ".join(args) + "}"
            return f"std::max<{INDEX_TYPE}>({il})"

    def _print_Abs(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"std::abs({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_cos(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"std::cos({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_cosh(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"std::cosh({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_acos(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"std::acos({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_sin(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"std::sin({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_sinh(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"std::sinh({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_asin(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"std::asin({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_tan(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"std::tan({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_tanh(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"std::tanh({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_atan(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        return f"std::atan({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_sqrt(self, expr: sympy.Expr) -> str:
        return f"std::sqrt({self._print(expr.args[0])})"

    def _print_OpaqueUnaryFn_log2(self, expr: sympy.Expr) -> str:
        return f"std::log2({self._print(expr.args[0])})"

    def _print_RoundToInt(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 1
        # TODO: dispatch to llrint depending on index type
        return f"std::lrint({self._print(expr.args[0])})"

    def _print_RoundDecimal(self, expr: sympy.Expr) -> str:
        assert len(expr.args) == 2
        number, ndigits = expr.args
        if number.is_integer:
            # ndigits < 0 should have been filtered by the sympy function
            assert ndigits < 0
            raise ValueError(
                f"For integer inputs, only non-negative ndigits are currently supported, but got {ndigits}."
            )
        number_str = self.parenthesize(number, PRECEDENCE["Mul"])
        return f"static_cast<double>(std::nearbyint(1e{ndigits} * {number_str}) * 1e{-ndigits})"

    def _print_BooleanTrue(self, expr: sympy.Expr) -> str:
        return "true"

    def _print_BooleanFalse(self, expr: sympy.Expr) -> str:
        return "false"

    def _print_Infinity(self, expr: sympy.Expr) -> str:
        return "std::numeric_limits<double>::infinity()"

    def _print_NegativeInfinity(self, expr: sympy.Expr) -> str:
        return f"-{self._print_Infinity(expr)}"