1396 lines
49 KiB
Python
1396 lines
49 KiB
Python
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import math
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import numbers
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import numpy as np
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import operator
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from llvmlite import ir
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from llvmlite.ir import Constant
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from numba.core.imputils import (lower_builtin, lower_getattr,
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lower_getattr_generic, lower_cast,
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lower_constant, impl_ret_borrowed,
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impl_ret_untracked)
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from numba.core import typing, types, utils, errors, cgutils, optional
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from numba.core.extending import intrinsic, overload_method
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from numba.cpython.unsafe.numbers import viewer
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def _int_arith_flags(rettype):
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"""
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Return the modifier flags for integer arithmetic.
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"""
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if rettype.signed:
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# Ignore the effects of signed overflow. This is important for
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# optimization of some indexing operations. For example
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# array[i+1] could see `i+1` trigger a signed overflow and
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# give a negative number. With Python's indexing, a negative
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# index is treated differently: its resolution has a runtime cost.
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# Telling LLVM to ignore signed overflows allows it to optimize
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# away the check for a negative `i+1` if it knows `i` is positive.
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return ['nsw']
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else:
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return []
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def int_add_impl(context, builder, sig, args):
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[va, vb] = args
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[ta, tb] = sig.args
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a = context.cast(builder, va, ta, sig.return_type)
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b = context.cast(builder, vb, tb, sig.return_type)
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res = builder.add(a, b, flags=_int_arith_flags(sig.return_type))
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return impl_ret_untracked(context, builder, sig.return_type, res)
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def int_sub_impl(context, builder, sig, args):
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[va, vb] = args
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[ta, tb] = sig.args
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a = context.cast(builder, va, ta, sig.return_type)
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b = context.cast(builder, vb, tb, sig.return_type)
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res = builder.sub(a, b, flags=_int_arith_flags(sig.return_type))
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return impl_ret_untracked(context, builder, sig.return_type, res)
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def int_mul_impl(context, builder, sig, args):
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[va, vb] = args
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[ta, tb] = sig.args
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a = context.cast(builder, va, ta, sig.return_type)
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b = context.cast(builder, vb, tb, sig.return_type)
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res = builder.mul(a, b, flags=_int_arith_flags(sig.return_type))
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return impl_ret_untracked(context, builder, sig.return_type, res)
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def int_divmod_signed(context, builder, ty, x, y):
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"""
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Reference Objects/intobject.c
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xdivy = x / y;
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xmody = (long)(x - (unsigned long)xdivy * y);
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/* If the signs of x and y differ, and the remainder is non-0,
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* C89 doesn't define whether xdivy is now the floor or the
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* ceiling of the infinitely precise quotient. We want the floor,
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* and we have it iff the remainder's sign matches y's.
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*/
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if (xmody && ((y ^ xmody) < 0) /* i.e. and signs differ */) {
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xmody += y;
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--xdivy;
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assert(xmody && ((y ^ xmody) >= 0));
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}
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*p_xdivy = xdivy;
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*p_xmody = xmody;
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"""
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assert x.type == y.type
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ZERO = y.type(0)
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ONE = y.type(1)
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# NOTE: On x86 at least, dividing the lowest representable integer
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# (e.g. 0x80000000 for int32) by -1 causes a SIFGPE (division overflow),
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# causing the process to crash.
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# We return 0, 0 instead (more or less like Numpy).
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resdiv = cgutils.alloca_once_value(builder, ZERO)
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resmod = cgutils.alloca_once_value(builder, ZERO)
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is_overflow = builder.and_(
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builder.icmp_signed('==', x, x.type(ty.minval)),
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builder.icmp_signed('==', y, y.type(-1)))
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with builder.if_then(builder.not_(is_overflow), likely=True):
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# Note LLVM will optimize this to a single divmod instruction,
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# if available on the target CPU (e.g. x86).
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xdivy = builder.sdiv(x, y)
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xmody = builder.srem(x, y)
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y_xor_xmody_ltz = builder.icmp_signed('<', builder.xor(y, xmody), ZERO)
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xmody_istrue = builder.icmp_signed('!=', xmody, ZERO)
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cond = builder.and_(xmody_istrue, y_xor_xmody_ltz)
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with builder.if_else(cond) as (if_different_signs, if_same_signs):
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with if_same_signs:
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builder.store(xdivy, resdiv)
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builder.store(xmody, resmod)
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with if_different_signs:
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builder.store(builder.sub(xdivy, ONE), resdiv)
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builder.store(builder.add(xmody, y), resmod)
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return builder.load(resdiv), builder.load(resmod)
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def int_divmod(context, builder, ty, x, y):
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"""
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Integer divmod(x, y). The caller must ensure that y != 0.
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"""
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if ty.signed:
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return int_divmod_signed(context, builder, ty, x, y)
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else:
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return builder.udiv(x, y), builder.urem(x, y)
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def _int_divmod_impl(context, builder, sig, args, zerodiv_message):
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va, vb = args
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ta, tb = sig.args
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ty = sig.return_type
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if isinstance(ty, types.UniTuple):
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ty = ty.dtype
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a = context.cast(builder, va, ta, ty)
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b = context.cast(builder, vb, tb, ty)
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quot = cgutils.alloca_once(builder, a.type, name="quot")
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rem = cgutils.alloca_once(builder, a.type, name="rem")
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with builder.if_else(cgutils.is_scalar_zero(builder, b), likely=False
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) as (if_zero, if_non_zero):
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with if_zero:
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if not context.error_model.fp_zero_division(
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builder, (zerodiv_message,)):
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# No exception raised => return 0
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# XXX We should also set the FPU exception status, but
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# there's no easy way to do that from LLVM.
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builder.store(b, quot)
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builder.store(b, rem)
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with if_non_zero:
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q, r = int_divmod(context, builder, ty, a, b)
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builder.store(q, quot)
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builder.store(r, rem)
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return quot, rem
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@lower_builtin(divmod, types.Integer, types.Integer)
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def int_divmod_impl(context, builder, sig, args):
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quot, rem = _int_divmod_impl(context, builder, sig, args,
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"integer divmod by zero")
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return cgutils.pack_array(builder,
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(builder.load(quot), builder.load(rem)))
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@lower_builtin(operator.floordiv, types.Integer, types.Integer)
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@lower_builtin(operator.ifloordiv, types.Integer, types.Integer)
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def int_floordiv_impl(context, builder, sig, args):
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quot, rem = _int_divmod_impl(context, builder, sig, args,
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"integer division by zero")
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return builder.load(quot)
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@lower_builtin(operator.truediv, types.Integer, types.Integer)
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@lower_builtin(operator.itruediv, types.Integer, types.Integer)
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def int_truediv_impl(context, builder, sig, args):
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[va, vb] = args
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[ta, tb] = sig.args
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a = context.cast(builder, va, ta, sig.return_type)
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b = context.cast(builder, vb, tb, sig.return_type)
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with cgutils.if_zero(builder, b):
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context.error_model.fp_zero_division(builder, ("division by zero",))
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res = builder.fdiv(a, b)
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return impl_ret_untracked(context, builder, sig.return_type, res)
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@lower_builtin(operator.mod, types.Integer, types.Integer)
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@lower_builtin(operator.imod, types.Integer, types.Integer)
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def int_rem_impl(context, builder, sig, args):
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quot, rem = _int_divmod_impl(context, builder, sig, args,
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"integer modulo by zero")
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return builder.load(rem)
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def _get_power_zerodiv_return(context, return_type):
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if (isinstance(return_type, types.Integer)
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and not context.error_model.raise_on_fp_zero_division):
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# If not raising, return 0x8000... when computing 0 ** <negative number>
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return -1 << (return_type.bitwidth - 1)
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else:
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return False
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def int_power_impl(context, builder, sig, args):
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"""
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a ^ b, where a is an integer or real, and b an integer
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"""
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is_integer = isinstance(sig.args[0], types.Integer)
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tp = sig.return_type
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zerodiv_return = _get_power_zerodiv_return(context, tp)
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def int_power(a, b):
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# Ensure computations are done with a large enough width
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r = tp(1)
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a = tp(a)
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if b < 0:
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invert = True
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exp = -b
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if exp < 0:
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raise OverflowError
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if is_integer:
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if a == 0:
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if zerodiv_return:
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return zerodiv_return
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else:
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raise ZeroDivisionError("0 cannot be raised to a negative power")
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if a != 1 and a != -1:
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return 0
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else:
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invert = False
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exp = b
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if exp > 0x10000:
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# Optimization cutoff: fallback on the generic algorithm
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return math.pow(a, float(b))
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while exp != 0:
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if exp & 1:
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r *= a
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exp >>= 1
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a *= a
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return 1.0 / r if invert else r
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res = context.compile_internal(builder, int_power, sig, args)
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return impl_ret_untracked(context, builder, sig.return_type, res)
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@lower_builtin(operator.pow, types.Integer, types.IntegerLiteral)
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@lower_builtin(operator.ipow, types.Integer, types.IntegerLiteral)
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@lower_builtin(operator.pow, types.Float, types.IntegerLiteral)
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@lower_builtin(operator.ipow, types.Float, types.IntegerLiteral)
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def static_power_impl(context, builder, sig, args):
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"""
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a ^ b, where a is an integer or real, and b a constant integer
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"""
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exp = sig.args[1].value
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if not isinstance(exp, numbers.Integral):
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raise NotImplementedError
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if abs(exp) > 0x10000:
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# Optimization cutoff: fallback on the generic algorithm above
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raise NotImplementedError
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invert = exp < 0
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exp = abs(exp)
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tp = sig.return_type
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is_integer = isinstance(tp, types.Integer)
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zerodiv_return = _get_power_zerodiv_return(context, tp)
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val = context.cast(builder, args[0], sig.args[0], tp)
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lty = val.type
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def mul(a, b):
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if is_integer:
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return builder.mul(a, b)
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else:
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return builder.fmul(a, b)
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# Unroll the exponentiation loop
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res = lty(1)
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a = val
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while exp != 0:
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if exp & 1:
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res = mul(res, val)
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exp >>= 1
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val = mul(val, val)
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if invert:
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# If the exponent was negative, fix the result by inverting it
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if is_integer:
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# Integer inversion
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def invert_impl(a):
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if a == 0:
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if zerodiv_return:
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return zerodiv_return
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else:
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raise ZeroDivisionError("0 cannot be raised to a negative power")
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if a != 1 and a != -1:
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return 0
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else:
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return a
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else:
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# Real inversion
|
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def invert_impl(a):
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return 1.0 / a
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res = context.compile_internal(builder, invert_impl,
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typing.signature(tp, tp), (res,))
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return res
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def int_slt_impl(context, builder, sig, args):
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res = builder.icmp_signed('<', *args)
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return impl_ret_untracked(context, builder, sig.return_type, res)
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def int_sle_impl(context, builder, sig, args):
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res = builder.icmp_signed('<=', *args)
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return impl_ret_untracked(context, builder, sig.return_type, res)
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def int_sgt_impl(context, builder, sig, args):
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res = builder.icmp_signed('>', *args)
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return impl_ret_untracked(context, builder, sig.return_type, res)
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def int_sge_impl(context, builder, sig, args):
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res = builder.icmp_signed('>=', *args)
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return impl_ret_untracked(context, builder, sig.return_type, res)
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def int_ult_impl(context, builder, sig, args):
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res = builder.icmp_unsigned('<', *args)
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return impl_ret_untracked(context, builder, sig.return_type, res)
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|
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def int_ule_impl(context, builder, sig, args):
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res = builder.icmp_unsigned('<=', *args)
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return impl_ret_untracked(context, builder, sig.return_type, res)
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|
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def int_ugt_impl(context, builder, sig, args):
|
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res = builder.icmp_unsigned('>', *args)
|
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return impl_ret_untracked(context, builder, sig.return_type, res)
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|
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def int_uge_impl(context, builder, sig, args):
|
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res = builder.icmp_unsigned('>=', *args)
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return impl_ret_untracked(context, builder, sig.return_type, res)
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||
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|
||
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|
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def int_eq_impl(context, builder, sig, args):
|
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res = builder.icmp_unsigned('==', *args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def int_ne_impl(context, builder, sig, args):
|
||
|
|
res = builder.icmp_unsigned('!=', *args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def int_signed_unsigned_cmp(op):
|
||
|
|
def impl(context, builder, sig, args):
|
||
|
|
(left, right) = args
|
||
|
|
# This code is translated from the NumPy source.
|
||
|
|
# What we're going to do is divide the range of a signed value at zero.
|
||
|
|
# If the signed value is less than zero, then we can treat zero as the
|
||
|
|
# unsigned value since the unsigned value is necessarily zero or larger
|
||
|
|
# and any signed comparison between a negative value and zero/infinity
|
||
|
|
# will yield the same result. If the signed value is greater than or
|
||
|
|
# equal to zero, then we can safely cast it to an unsigned value and do
|
||
|
|
# the expected unsigned-unsigned comparison operation.
|
||
|
|
# Original: https://github.com/numpy/numpy/pull/23713
|
||
|
|
cmp_zero = builder.icmp_signed('<', left, Constant(left.type, 0))
|
||
|
|
lt_zero = builder.icmp_signed(op, left, Constant(left.type, 0))
|
||
|
|
ge_zero = builder.icmp_unsigned(op, left, right)
|
||
|
|
res = builder.select(cmp_zero, lt_zero, ge_zero)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
return impl
|
||
|
|
|
||
|
|
|
||
|
|
def int_unsigned_signed_cmp(op):
|
||
|
|
def impl(context, builder, sig, args):
|
||
|
|
(left, right) = args
|
||
|
|
# See the function `int_signed_unsigned_cmp` for implementation notes.
|
||
|
|
cmp_zero = builder.icmp_signed('<', right, Constant(right.type, 0))
|
||
|
|
lt_zero = builder.icmp_signed(op, Constant(right.type, 0), right)
|
||
|
|
ge_zero = builder.icmp_unsigned(op, left, right)
|
||
|
|
res = builder.select(cmp_zero, lt_zero, ge_zero)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
return impl
|
||
|
|
|
||
|
|
|
||
|
|
def int_abs_impl(context, builder, sig, args):
|
||
|
|
[x] = args
|
||
|
|
ZERO = Constant(x.type, None)
|
||
|
|
ltz = builder.icmp_signed('<', x, ZERO)
|
||
|
|
negated = builder.neg(x)
|
||
|
|
res = builder.select(ltz, negated, x)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def uint_abs_impl(context, builder, sig, args):
|
||
|
|
[x] = args
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, x)
|
||
|
|
|
||
|
|
|
||
|
|
def int_shl_impl(context, builder, sig, args):
|
||
|
|
[valty, amtty] = sig.args
|
||
|
|
[val, amt] = args
|
||
|
|
val = context.cast(builder, val, valty, sig.return_type)
|
||
|
|
amt = context.cast(builder, amt, amtty, sig.return_type)
|
||
|
|
res = builder.shl(val, amt)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def int_shr_impl(context, builder, sig, args):
|
||
|
|
[valty, amtty] = sig.args
|
||
|
|
[val, amt] = args
|
||
|
|
val = context.cast(builder, val, valty, sig.return_type)
|
||
|
|
amt = context.cast(builder, amt, amtty, sig.return_type)
|
||
|
|
if sig.return_type.signed:
|
||
|
|
res = builder.ashr(val, amt)
|
||
|
|
else:
|
||
|
|
res = builder.lshr(val, amt)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def int_and_impl(context, builder, sig, args):
|
||
|
|
[at, bt] = sig.args
|
||
|
|
[av, bv] = args
|
||
|
|
cav = context.cast(builder, av, at, sig.return_type)
|
||
|
|
cbc = context.cast(builder, bv, bt, sig.return_type)
|
||
|
|
res = builder.and_(cav, cbc)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def int_or_impl(context, builder, sig, args):
|
||
|
|
[at, bt] = sig.args
|
||
|
|
[av, bv] = args
|
||
|
|
cav = context.cast(builder, av, at, sig.return_type)
|
||
|
|
cbc = context.cast(builder, bv, bt, sig.return_type)
|
||
|
|
res = builder.or_(cav, cbc)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def int_xor_impl(context, builder, sig, args):
|
||
|
|
[at, bt] = sig.args
|
||
|
|
[av, bv] = args
|
||
|
|
cav = context.cast(builder, av, at, sig.return_type)
|
||
|
|
cbc = context.cast(builder, bv, bt, sig.return_type)
|
||
|
|
res = builder.xor(cav, cbc)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def int_negate_impl(context, builder, sig, args):
|
||
|
|
[typ] = sig.args
|
||
|
|
[val] = args
|
||
|
|
# Negate before upcasting, for unsigned numbers
|
||
|
|
res = builder.neg(val)
|
||
|
|
res = context.cast(builder, res, typ, sig.return_type)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def int_positive_impl(context, builder, sig, args):
|
||
|
|
[typ] = sig.args
|
||
|
|
[val] = args
|
||
|
|
res = context.cast(builder, val, typ, sig.return_type)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def int_invert_impl(context, builder, sig, args):
|
||
|
|
[typ] = sig.args
|
||
|
|
[val] = args
|
||
|
|
# Invert before upcasting, for unsigned numbers
|
||
|
|
res = builder.xor(val, Constant(val.type, int('1' * val.type.width, 2)))
|
||
|
|
res = context.cast(builder, res, typ, sig.return_type)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def int_sign_impl(context, builder, sig, args):
|
||
|
|
"""
|
||
|
|
np.sign(int)
|
||
|
|
"""
|
||
|
|
[x] = args
|
||
|
|
POS = Constant(x.type, 1)
|
||
|
|
NEG = Constant(x.type, -1)
|
||
|
|
ZERO = Constant(x.type, 0)
|
||
|
|
|
||
|
|
cmp_zero = builder.icmp_unsigned('==', x, ZERO)
|
||
|
|
cmp_pos = builder.icmp_signed('>', x, ZERO)
|
||
|
|
|
||
|
|
presult = cgutils.alloca_once(builder, x.type)
|
||
|
|
|
||
|
|
bb_zero = builder.append_basic_block(".zero")
|
||
|
|
bb_postest = builder.append_basic_block(".postest")
|
||
|
|
bb_pos = builder.append_basic_block(".pos")
|
||
|
|
bb_neg = builder.append_basic_block(".neg")
|
||
|
|
bb_exit = builder.append_basic_block(".exit")
|
||
|
|
|
||
|
|
builder.cbranch(cmp_zero, bb_zero, bb_postest)
|
||
|
|
|
||
|
|
with builder.goto_block(bb_zero):
|
||
|
|
builder.store(ZERO, presult)
|
||
|
|
builder.branch(bb_exit)
|
||
|
|
|
||
|
|
with builder.goto_block(bb_postest):
|
||
|
|
builder.cbranch(cmp_pos, bb_pos, bb_neg)
|
||
|
|
|
||
|
|
with builder.goto_block(bb_pos):
|
||
|
|
builder.store(POS, presult)
|
||
|
|
builder.branch(bb_exit)
|
||
|
|
|
||
|
|
with builder.goto_block(bb_neg):
|
||
|
|
builder.store(NEG, presult)
|
||
|
|
builder.branch(bb_exit)
|
||
|
|
|
||
|
|
builder.position_at_end(bb_exit)
|
||
|
|
res = builder.load(presult)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def bool_negate_impl(context, builder, sig, args):
|
||
|
|
[typ] = sig.args
|
||
|
|
[val] = args
|
||
|
|
res = context.cast(builder, val, typ, sig.return_type)
|
||
|
|
res = builder.neg(res)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def bool_unary_positive_impl(context, builder, sig, args):
|
||
|
|
[typ] = sig.args
|
||
|
|
[val] = args
|
||
|
|
res = context.cast(builder, val, typ, sig.return_type)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
lower_builtin(operator.eq, types.boolean, types.boolean)(int_eq_impl)
|
||
|
|
lower_builtin(operator.ne, types.boolean, types.boolean)(int_ne_impl)
|
||
|
|
lower_builtin(operator.lt, types.boolean, types.boolean)(int_ult_impl)
|
||
|
|
lower_builtin(operator.le, types.boolean, types.boolean)(int_ule_impl)
|
||
|
|
lower_builtin(operator.gt, types.boolean, types.boolean)(int_ugt_impl)
|
||
|
|
lower_builtin(operator.ge, types.boolean, types.boolean)(int_uge_impl)
|
||
|
|
lower_builtin(operator.neg, types.boolean)(bool_negate_impl)
|
||
|
|
lower_builtin(operator.pos, types.boolean)(bool_unary_positive_impl)
|
||
|
|
|
||
|
|
|
||
|
|
def _implement_integer_operators():
|
||
|
|
ty = types.Integer
|
||
|
|
|
||
|
|
lower_builtin(operator.add, ty, ty)(int_add_impl)
|
||
|
|
lower_builtin(operator.iadd, ty, ty)(int_add_impl)
|
||
|
|
lower_builtin(operator.sub, ty, ty)(int_sub_impl)
|
||
|
|
lower_builtin(operator.isub, ty, ty)(int_sub_impl)
|
||
|
|
lower_builtin(operator.mul, ty, ty)(int_mul_impl)
|
||
|
|
lower_builtin(operator.imul, ty, ty)(int_mul_impl)
|
||
|
|
lower_builtin(operator.eq, ty, ty)(int_eq_impl)
|
||
|
|
lower_builtin(operator.ne, ty, ty)(int_ne_impl)
|
||
|
|
|
||
|
|
lower_builtin(operator.lshift, ty, ty)(int_shl_impl)
|
||
|
|
lower_builtin(operator.ilshift, ty, ty)(int_shl_impl)
|
||
|
|
lower_builtin(operator.rshift, ty, ty)(int_shr_impl)
|
||
|
|
lower_builtin(operator.irshift, ty, ty)(int_shr_impl)
|
||
|
|
|
||
|
|
lower_builtin(operator.neg, ty)(int_negate_impl)
|
||
|
|
lower_builtin(operator.pos, ty)(int_positive_impl)
|
||
|
|
|
||
|
|
lower_builtin(operator.pow, ty, ty)(int_power_impl)
|
||
|
|
lower_builtin(operator.ipow, ty, ty)(int_power_impl)
|
||
|
|
lower_builtin(pow, ty, ty)(int_power_impl)
|
||
|
|
|
||
|
|
for ty in types.unsigned_domain:
|
||
|
|
lower_builtin(operator.lt, ty, ty)(int_ult_impl)
|
||
|
|
lower_builtin(operator.le, ty, ty)(int_ule_impl)
|
||
|
|
lower_builtin(operator.gt, ty, ty)(int_ugt_impl)
|
||
|
|
lower_builtin(operator.ge, ty, ty)(int_uge_impl)
|
||
|
|
lower_builtin(operator.pow, types.Float, ty)(int_power_impl)
|
||
|
|
lower_builtin(operator.ipow, types.Float, ty)(int_power_impl)
|
||
|
|
lower_builtin(pow, types.Float, ty)(int_power_impl)
|
||
|
|
lower_builtin(abs, ty)(uint_abs_impl)
|
||
|
|
|
||
|
|
lower_builtin(operator.lt, types.IntegerLiteral, types.IntegerLiteral)(int_slt_impl)
|
||
|
|
lower_builtin(operator.gt, types.IntegerLiteral, types.IntegerLiteral)(int_slt_impl)
|
||
|
|
lower_builtin(operator.le, types.IntegerLiteral, types.IntegerLiteral)(int_slt_impl)
|
||
|
|
lower_builtin(operator.ge, types.IntegerLiteral, types.IntegerLiteral)(int_slt_impl)
|
||
|
|
for ty in types.signed_domain:
|
||
|
|
lower_builtin(operator.lt, ty, ty)(int_slt_impl)
|
||
|
|
lower_builtin(operator.le, ty, ty)(int_sle_impl)
|
||
|
|
lower_builtin(operator.gt, ty, ty)(int_sgt_impl)
|
||
|
|
lower_builtin(operator.ge, ty, ty)(int_sge_impl)
|
||
|
|
lower_builtin(operator.pow, types.Float, ty)(int_power_impl)
|
||
|
|
lower_builtin(operator.ipow, types.Float, ty)(int_power_impl)
|
||
|
|
lower_builtin(pow, types.Float, ty)(int_power_impl)
|
||
|
|
lower_builtin(abs, ty)(int_abs_impl)
|
||
|
|
|
||
|
|
def _implement_bitwise_operators():
|
||
|
|
for ty in (types.Boolean, types.Integer):
|
||
|
|
lower_builtin(operator.and_, ty, ty)(int_and_impl)
|
||
|
|
lower_builtin(operator.iand, ty, ty)(int_and_impl)
|
||
|
|
lower_builtin(operator.or_, ty, ty)(int_or_impl)
|
||
|
|
lower_builtin(operator.ior, ty, ty)(int_or_impl)
|
||
|
|
lower_builtin(operator.xor, ty, ty)(int_xor_impl)
|
||
|
|
lower_builtin(operator.ixor, ty, ty)(int_xor_impl)
|
||
|
|
|
||
|
|
lower_builtin(operator.invert, ty)(int_invert_impl)
|
||
|
|
|
||
|
|
_implement_integer_operators()
|
||
|
|
|
||
|
|
_implement_bitwise_operators()
|
||
|
|
|
||
|
|
|
||
|
|
def real_add_impl(context, builder, sig, args):
|
||
|
|
res = builder.fadd(*args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_sub_impl(context, builder, sig, args):
|
||
|
|
res = builder.fsub(*args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_mul_impl(context, builder, sig, args):
|
||
|
|
res = builder.fmul(*args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_div_impl(context, builder, sig, args):
|
||
|
|
with cgutils.if_zero(builder, args[1]):
|
||
|
|
context.error_model.fp_zero_division(builder, ("division by zero",))
|
||
|
|
res = builder.fdiv(*args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_divmod(context, builder, x, y):
|
||
|
|
assert x.type == y.type
|
||
|
|
floatty = x.type
|
||
|
|
|
||
|
|
module = builder.module
|
||
|
|
fname = context.mangler(".numba.python.rem", [x.type])
|
||
|
|
fnty = ir.FunctionType(floatty, (floatty, floatty, ir.PointerType(floatty)))
|
||
|
|
fn = cgutils.get_or_insert_function(module, fnty, fname)
|
||
|
|
|
||
|
|
if fn.is_declaration:
|
||
|
|
fn.linkage = 'linkonce_odr'
|
||
|
|
fnbuilder = ir.IRBuilder(fn.append_basic_block('entry'))
|
||
|
|
fx, fy, pmod = fn.args
|
||
|
|
div, mod = real_divmod_func_body(context, fnbuilder, fx, fy)
|
||
|
|
fnbuilder.store(mod, pmod)
|
||
|
|
fnbuilder.ret(div)
|
||
|
|
|
||
|
|
pmod = cgutils.alloca_once(builder, floatty)
|
||
|
|
quotient = builder.call(fn, (x, y, pmod))
|
||
|
|
return quotient, builder.load(pmod)
|
||
|
|
|
||
|
|
|
||
|
|
def real_divmod_func_body(context, builder, vx, wx):
|
||
|
|
# Reference Objects/floatobject.c
|
||
|
|
#
|
||
|
|
# float_divmod(PyObject *v, PyObject *w)
|
||
|
|
# {
|
||
|
|
# double vx, wx;
|
||
|
|
# double div, mod, floordiv;
|
||
|
|
# CONVERT_TO_DOUBLE(v, vx);
|
||
|
|
# CONVERT_TO_DOUBLE(w, wx);
|
||
|
|
# mod = fmod(vx, wx);
|
||
|
|
# /* fmod is typically exact, so vx-mod is *mathematically* an
|
||
|
|
# exact multiple of wx. But this is fp arithmetic, and fp
|
||
|
|
# vx - mod is an approximation; the result is that div may
|
||
|
|
# not be an exact integral value after the division, although
|
||
|
|
# it will always be very close to one.
|
||
|
|
# */
|
||
|
|
# div = (vx - mod) / wx;
|
||
|
|
# if (mod) {
|
||
|
|
# /* ensure the remainder has the same sign as the denominator */
|
||
|
|
# if ((wx < 0) != (mod < 0)) {
|
||
|
|
# mod += wx;
|
||
|
|
# div -= 1.0;
|
||
|
|
# }
|
||
|
|
# }
|
||
|
|
# else {
|
||
|
|
# /* the remainder is zero, and in the presence of signed zeroes
|
||
|
|
# fmod returns different results across platforms; ensure
|
||
|
|
# it has the same sign as the denominator; we'd like to do
|
||
|
|
# "mod = wx * 0.0", but that may get optimized away */
|
||
|
|
# mod *= mod; /* hide "mod = +0" from optimizer */
|
||
|
|
# if (wx < 0.0)
|
||
|
|
# mod = -mod;
|
||
|
|
# }
|
||
|
|
# /* snap quotient to nearest integral value */
|
||
|
|
# if (div) {
|
||
|
|
# floordiv = floor(div);
|
||
|
|
# if (div - floordiv > 0.5)
|
||
|
|
# floordiv += 1.0;
|
||
|
|
# }
|
||
|
|
# else {
|
||
|
|
# /* div is zero - get the same sign as the true quotient */
|
||
|
|
# div *= div; /* hide "div = +0" from optimizers */
|
||
|
|
# floordiv = div * vx / wx; /* zero w/ sign of vx/wx */
|
||
|
|
# }
|
||
|
|
# return Py_BuildValue("(dd)", floordiv, mod);
|
||
|
|
# }
|
||
|
|
pmod = cgutils.alloca_once(builder, vx.type)
|
||
|
|
pdiv = cgutils.alloca_once(builder, vx.type)
|
||
|
|
pfloordiv = cgutils.alloca_once(builder, vx.type)
|
||
|
|
|
||
|
|
mod = builder.frem(vx, wx)
|
||
|
|
div = builder.fdiv(builder.fsub(vx, mod), wx)
|
||
|
|
|
||
|
|
builder.store(mod, pmod)
|
||
|
|
builder.store(div, pdiv)
|
||
|
|
|
||
|
|
# Note the use of negative zero for proper negating with `ZERO - x`
|
||
|
|
ZERO = vx.type(0.0)
|
||
|
|
NZERO = vx.type(-0.0)
|
||
|
|
ONE = vx.type(1.0)
|
||
|
|
mod_istrue = builder.fcmp_unordered('!=', mod, ZERO)
|
||
|
|
wx_ltz = builder.fcmp_ordered('<', wx, ZERO)
|
||
|
|
mod_ltz = builder.fcmp_ordered('<', mod, ZERO)
|
||
|
|
|
||
|
|
with builder.if_else(mod_istrue, likely=True) as (if_nonzero_mod, if_zero_mod):
|
||
|
|
with if_nonzero_mod:
|
||
|
|
# `mod` is non-zero or NaN
|
||
|
|
# Ensure the remainder has the same sign as the denominator
|
||
|
|
wx_ltz_ne_mod_ltz = builder.icmp_unsigned('!=', wx_ltz, mod_ltz)
|
||
|
|
|
||
|
|
with builder.if_then(wx_ltz_ne_mod_ltz):
|
||
|
|
builder.store(builder.fsub(div, ONE), pdiv)
|
||
|
|
builder.store(builder.fadd(mod, wx), pmod)
|
||
|
|
|
||
|
|
with if_zero_mod:
|
||
|
|
# `mod` is zero, select the proper sign depending on
|
||
|
|
# the denominator's sign
|
||
|
|
mod = builder.select(wx_ltz, NZERO, ZERO)
|
||
|
|
builder.store(mod, pmod)
|
||
|
|
|
||
|
|
del mod, div
|
||
|
|
|
||
|
|
div = builder.load(pdiv)
|
||
|
|
div_istrue = builder.fcmp_ordered('!=', div, ZERO)
|
||
|
|
|
||
|
|
with builder.if_then(div_istrue):
|
||
|
|
realtypemap = {'float': types.float32,
|
||
|
|
'double': types.float64}
|
||
|
|
realtype = realtypemap[str(wx.type)]
|
||
|
|
floorfn = context.get_function(math.floor,
|
||
|
|
typing.signature(realtype, realtype))
|
||
|
|
floordiv = floorfn(builder, [div])
|
||
|
|
floordivdiff = builder.fsub(div, floordiv)
|
||
|
|
floordivincr = builder.fadd(floordiv, ONE)
|
||
|
|
HALF = Constant(wx.type, 0.5)
|
||
|
|
pred = builder.fcmp_ordered('>', floordivdiff, HALF)
|
||
|
|
floordiv = builder.select(pred, floordivincr, floordiv)
|
||
|
|
builder.store(floordiv, pfloordiv)
|
||
|
|
|
||
|
|
with cgutils.ifnot(builder, div_istrue):
|
||
|
|
div = builder.fmul(div, div)
|
||
|
|
builder.store(div, pdiv)
|
||
|
|
floordiv = builder.fdiv(builder.fmul(div, vx), wx)
|
||
|
|
builder.store(floordiv, pfloordiv)
|
||
|
|
|
||
|
|
return builder.load(pfloordiv), builder.load(pmod)
|
||
|
|
|
||
|
|
|
||
|
|
@lower_builtin(divmod, types.Float, types.Float)
|
||
|
|
def real_divmod_impl(context, builder, sig, args, loc=None):
|
||
|
|
x, y = args
|
||
|
|
quot = cgutils.alloca_once(builder, x.type, name="quot")
|
||
|
|
rem = cgutils.alloca_once(builder, x.type, name="rem")
|
||
|
|
|
||
|
|
with builder.if_else(cgutils.is_scalar_zero(builder, y), likely=False
|
||
|
|
) as (if_zero, if_non_zero):
|
||
|
|
with if_zero:
|
||
|
|
if not context.error_model.fp_zero_division(
|
||
|
|
builder, ("modulo by zero",), loc):
|
||
|
|
# No exception raised => compute the nan result,
|
||
|
|
# and set the FP exception word for Numpy warnings.
|
||
|
|
q = builder.fdiv(x, y)
|
||
|
|
r = builder.frem(x, y)
|
||
|
|
builder.store(q, quot)
|
||
|
|
builder.store(r, rem)
|
||
|
|
with if_non_zero:
|
||
|
|
q, r = real_divmod(context, builder, x, y)
|
||
|
|
builder.store(q, quot)
|
||
|
|
builder.store(r, rem)
|
||
|
|
|
||
|
|
return cgutils.pack_array(builder,
|
||
|
|
(builder.load(quot), builder.load(rem)))
|
||
|
|
|
||
|
|
|
||
|
|
def real_mod_impl(context, builder, sig, args, loc=None):
|
||
|
|
x, y = args
|
||
|
|
res = cgutils.alloca_once(builder, x.type)
|
||
|
|
with builder.if_else(cgutils.is_scalar_zero(builder, y), likely=False
|
||
|
|
) as (if_zero, if_non_zero):
|
||
|
|
with if_zero:
|
||
|
|
if not context.error_model.fp_zero_division(
|
||
|
|
builder, ("modulo by zero",), loc):
|
||
|
|
# No exception raised => compute the nan result,
|
||
|
|
# and set the FP exception word for Numpy warnings.
|
||
|
|
rem = builder.frem(x, y)
|
||
|
|
builder.store(rem, res)
|
||
|
|
with if_non_zero:
|
||
|
|
_, rem = real_divmod(context, builder, x, y)
|
||
|
|
builder.store(rem, res)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type,
|
||
|
|
builder.load(res))
|
||
|
|
|
||
|
|
|
||
|
|
def real_floordiv_impl(context, builder, sig, args, loc=None):
|
||
|
|
x, y = args
|
||
|
|
res = cgutils.alloca_once(builder, x.type)
|
||
|
|
with builder.if_else(cgutils.is_scalar_zero(builder, y), likely=False
|
||
|
|
) as (if_zero, if_non_zero):
|
||
|
|
with if_zero:
|
||
|
|
if not context.error_model.fp_zero_division(
|
||
|
|
builder, ("division by zero",), loc):
|
||
|
|
# No exception raised => compute the +/-inf or nan result,
|
||
|
|
# and set the FP exception word for Numpy warnings.
|
||
|
|
quot = builder.fdiv(x, y)
|
||
|
|
builder.store(quot, res)
|
||
|
|
with if_non_zero:
|
||
|
|
quot, _ = real_divmod(context, builder, x, y)
|
||
|
|
builder.store(quot, res)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type,
|
||
|
|
builder.load(res))
|
||
|
|
|
||
|
|
|
||
|
|
def real_power_impl(context, builder, sig, args):
|
||
|
|
x, y = args
|
||
|
|
module = builder.module
|
||
|
|
if context.implement_powi_as_math_call:
|
||
|
|
imp = context.get_function(math.pow, sig)
|
||
|
|
res = imp(builder, args)
|
||
|
|
else:
|
||
|
|
fn = module.declare_intrinsic('llvm.pow', [y.type])
|
||
|
|
res = builder.call(fn, (x, y))
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_lt_impl(context, builder, sig, args):
|
||
|
|
res = builder.fcmp_ordered('<', *args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_le_impl(context, builder, sig, args):
|
||
|
|
res = builder.fcmp_ordered('<=', *args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_gt_impl(context, builder, sig, args):
|
||
|
|
res = builder.fcmp_ordered('>', *args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_ge_impl(context, builder, sig, args):
|
||
|
|
res = builder.fcmp_ordered('>=', *args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_eq_impl(context, builder, sig, args):
|
||
|
|
res = builder.fcmp_ordered('==', *args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_ne_impl(context, builder, sig, args):
|
||
|
|
res = builder.fcmp_unordered('!=', *args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_abs_impl(context, builder, sig, args):
|
||
|
|
[ty] = sig.args
|
||
|
|
sig = typing.signature(ty, ty)
|
||
|
|
impl = context.get_function(math.fabs, sig)
|
||
|
|
return impl(builder, args)
|
||
|
|
|
||
|
|
|
||
|
|
def real_negate_impl(context, builder, sig, args):
|
||
|
|
from numba.cpython import mathimpl
|
||
|
|
res = mathimpl.negate_real(builder, args[0])
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_positive_impl(context, builder, sig, args):
|
||
|
|
[typ] = sig.args
|
||
|
|
[val] = args
|
||
|
|
res = context.cast(builder, val, typ, sig.return_type)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def real_sign_impl(context, builder, sig, args):
|
||
|
|
"""
|
||
|
|
np.sign(float)
|
||
|
|
"""
|
||
|
|
[x] = args
|
||
|
|
POS = Constant(x.type, 1)
|
||
|
|
NEG = Constant(x.type, -1)
|
||
|
|
ZERO = Constant(x.type, 0)
|
||
|
|
|
||
|
|
presult = cgutils.alloca_once(builder, x.type)
|
||
|
|
|
||
|
|
is_pos = builder.fcmp_ordered('>', x, ZERO)
|
||
|
|
is_neg = builder.fcmp_ordered('<', x, ZERO)
|
||
|
|
|
||
|
|
with builder.if_else(is_pos) as (gt_zero, not_gt_zero):
|
||
|
|
with gt_zero:
|
||
|
|
builder.store(POS, presult)
|
||
|
|
with not_gt_zero:
|
||
|
|
with builder.if_else(is_neg) as (lt_zero, not_lt_zero):
|
||
|
|
with lt_zero:
|
||
|
|
builder.store(NEG, presult)
|
||
|
|
with not_lt_zero:
|
||
|
|
# For both NaN and 0, the result of sign() is simply
|
||
|
|
# the input value.
|
||
|
|
builder.store(x, presult)
|
||
|
|
|
||
|
|
res = builder.load(presult)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
ty = types.Float
|
||
|
|
|
||
|
|
lower_builtin(operator.add, ty, ty)(real_add_impl)
|
||
|
|
lower_builtin(operator.iadd, ty, ty)(real_add_impl)
|
||
|
|
lower_builtin(operator.sub, ty, ty)(real_sub_impl)
|
||
|
|
lower_builtin(operator.isub, ty, ty)(real_sub_impl)
|
||
|
|
lower_builtin(operator.mul, ty, ty)(real_mul_impl)
|
||
|
|
lower_builtin(operator.imul, ty, ty)(real_mul_impl)
|
||
|
|
lower_builtin(operator.floordiv, ty, ty)(real_floordiv_impl)
|
||
|
|
lower_builtin(operator.ifloordiv, ty, ty)(real_floordiv_impl)
|
||
|
|
lower_builtin(operator.truediv, ty, ty)(real_div_impl)
|
||
|
|
lower_builtin(operator.itruediv, ty, ty)(real_div_impl)
|
||
|
|
lower_builtin(operator.mod, ty, ty)(real_mod_impl)
|
||
|
|
lower_builtin(operator.imod, ty, ty)(real_mod_impl)
|
||
|
|
lower_builtin(operator.pow, ty, ty)(real_power_impl)
|
||
|
|
lower_builtin(operator.ipow, ty, ty)(real_power_impl)
|
||
|
|
lower_builtin(pow, ty, ty)(real_power_impl)
|
||
|
|
|
||
|
|
lower_builtin(operator.eq, ty, ty)(real_eq_impl)
|
||
|
|
lower_builtin(operator.ne, ty, ty)(real_ne_impl)
|
||
|
|
lower_builtin(operator.lt, ty, ty)(real_lt_impl)
|
||
|
|
lower_builtin(operator.le, ty, ty)(real_le_impl)
|
||
|
|
lower_builtin(operator.gt, ty, ty)(real_gt_impl)
|
||
|
|
lower_builtin(operator.ge, ty, ty)(real_ge_impl)
|
||
|
|
|
||
|
|
lower_builtin(abs, ty)(real_abs_impl)
|
||
|
|
|
||
|
|
lower_builtin(operator.neg, ty)(real_negate_impl)
|
||
|
|
lower_builtin(operator.pos, ty)(real_positive_impl)
|
||
|
|
|
||
|
|
del ty
|
||
|
|
|
||
|
|
|
||
|
|
@lower_getattr(types.Complex, "real")
|
||
|
|
def complex_real_impl(context, builder, typ, value):
|
||
|
|
cplx = context.make_complex(builder, typ, value=value)
|
||
|
|
res = cplx.real
|
||
|
|
return impl_ret_untracked(context, builder, typ, res)
|
||
|
|
|
||
|
|
@lower_getattr(types.Complex, "imag")
|
||
|
|
def complex_imag_impl(context, builder, typ, value):
|
||
|
|
cplx = context.make_complex(builder, typ, value=value)
|
||
|
|
res = cplx.imag
|
||
|
|
return impl_ret_untracked(context, builder, typ, res)
|
||
|
|
|
||
|
|
@lower_builtin("complex.conjugate", types.Complex)
|
||
|
|
def complex_conjugate_impl(context, builder, sig, args):
|
||
|
|
from numba.cpython import mathimpl
|
||
|
|
z = context.make_complex(builder, sig.args[0], args[0])
|
||
|
|
z.imag = mathimpl.negate_real(builder, z.imag)
|
||
|
|
res = z._getvalue()
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
def real_real_impl(context, builder, typ, value):
|
||
|
|
return impl_ret_untracked(context, builder, typ, value)
|
||
|
|
|
||
|
|
def real_imag_impl(context, builder, typ, value):
|
||
|
|
res = cgutils.get_null_value(value.type)
|
||
|
|
return impl_ret_untracked(context, builder, typ, res)
|
||
|
|
|
||
|
|
def real_conjugate_impl(context, builder, sig, args):
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, args[0])
|
||
|
|
|
||
|
|
for cls in (types.Float, types.Integer):
|
||
|
|
lower_getattr(cls, "real")(real_real_impl)
|
||
|
|
lower_getattr(cls, "imag")(real_imag_impl)
|
||
|
|
lower_builtin("complex.conjugate", cls)(real_conjugate_impl)
|
||
|
|
|
||
|
|
|
||
|
|
@lower_builtin(operator.pow, types.Complex, types.Complex)
|
||
|
|
@lower_builtin(operator.ipow, types.Complex, types.Complex)
|
||
|
|
@lower_builtin(pow, types.Complex, types.Complex)
|
||
|
|
def complex_power_impl(context, builder, sig, args):
|
||
|
|
[ca, cb] = args
|
||
|
|
ty = sig.args[0]
|
||
|
|
fty = ty.underlying_float
|
||
|
|
a = context.make_helper(builder, ty, value=ca)
|
||
|
|
b = context.make_helper(builder, ty, value=cb)
|
||
|
|
c = context.make_helper(builder, ty)
|
||
|
|
module = builder.module
|
||
|
|
pa = a._getpointer()
|
||
|
|
pb = b._getpointer()
|
||
|
|
pc = c._getpointer()
|
||
|
|
|
||
|
|
# Optimize for square because cpow loses a lot of precision
|
||
|
|
TWO = context.get_constant(fty, 2)
|
||
|
|
ZERO = context.get_constant(fty, 0)
|
||
|
|
|
||
|
|
b_real_is_two = builder.fcmp_ordered('==', b.real, TWO)
|
||
|
|
b_imag_is_zero = builder.fcmp_ordered('==', b.imag, ZERO)
|
||
|
|
b_is_two = builder.and_(b_real_is_two, b_imag_is_zero)
|
||
|
|
|
||
|
|
with builder.if_else(b_is_two) as (then, otherwise):
|
||
|
|
with then:
|
||
|
|
# Lower as multiplication
|
||
|
|
res = complex_mul_impl(context, builder, sig, (ca, ca))
|
||
|
|
cres = context.make_helper(builder, ty, value=res)
|
||
|
|
c.real = cres.real
|
||
|
|
c.imag = cres.imag
|
||
|
|
|
||
|
|
with otherwise:
|
||
|
|
# Lower with call to external function
|
||
|
|
func_name = {
|
||
|
|
types.complex64: "numba_cpowf",
|
||
|
|
types.complex128: "numba_cpow",
|
||
|
|
}[ty]
|
||
|
|
fnty = ir.FunctionType(ir.VoidType(), [pa.type] * 3)
|
||
|
|
cpow = cgutils.get_or_insert_function(module, fnty, func_name)
|
||
|
|
builder.call(cpow, (pa, pb, pc))
|
||
|
|
|
||
|
|
res = builder.load(pc)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
def complex_add_impl(context, builder, sig, args):
|
||
|
|
[cx, cy] = args
|
||
|
|
ty = sig.args[0]
|
||
|
|
x = context.make_complex(builder, ty, value=cx)
|
||
|
|
y = context.make_complex(builder, ty, value=cy)
|
||
|
|
z = context.make_complex(builder, ty)
|
||
|
|
a = x.real
|
||
|
|
b = x.imag
|
||
|
|
c = y.real
|
||
|
|
d = y.imag
|
||
|
|
z.real = builder.fadd(a, c)
|
||
|
|
z.imag = builder.fadd(b, d)
|
||
|
|
res = z._getvalue()
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def complex_sub_impl(context, builder, sig, args):
|
||
|
|
[cx, cy] = args
|
||
|
|
ty = sig.args[0]
|
||
|
|
x = context.make_complex(builder, ty, value=cx)
|
||
|
|
y = context.make_complex(builder, ty, value=cy)
|
||
|
|
z = context.make_complex(builder, ty)
|
||
|
|
a = x.real
|
||
|
|
b = x.imag
|
||
|
|
c = y.real
|
||
|
|
d = y.imag
|
||
|
|
z.real = builder.fsub(a, c)
|
||
|
|
z.imag = builder.fsub(b, d)
|
||
|
|
res = z._getvalue()
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def complex_mul_impl(context, builder, sig, args):
|
||
|
|
"""
|
||
|
|
(a+bi)(c+di)=(ac-bd)+i(ad+bc)
|
||
|
|
"""
|
||
|
|
[cx, cy] = args
|
||
|
|
ty = sig.args[0]
|
||
|
|
x = context.make_complex(builder, ty, value=cx)
|
||
|
|
y = context.make_complex(builder, ty, value=cy)
|
||
|
|
z = context.make_complex(builder, ty)
|
||
|
|
a = x.real
|
||
|
|
b = x.imag
|
||
|
|
c = y.real
|
||
|
|
d = y.imag
|
||
|
|
ac = builder.fmul(a, c)
|
||
|
|
bd = builder.fmul(b, d)
|
||
|
|
ad = builder.fmul(a, d)
|
||
|
|
bc = builder.fmul(b, c)
|
||
|
|
z.real = builder.fsub(ac, bd)
|
||
|
|
z.imag = builder.fadd(ad, bc)
|
||
|
|
res = z._getvalue()
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
NAN = float('nan')
|
||
|
|
|
||
|
|
def complex_div_impl(context, builder, sig, args):
|
||
|
|
def complex_div(a, b):
|
||
|
|
# This is CPython's algorithm (in _Py_c_quot()).
|
||
|
|
areal = a.real
|
||
|
|
aimag = a.imag
|
||
|
|
breal = b.real
|
||
|
|
bimag = b.imag
|
||
|
|
if not breal and not bimag:
|
||
|
|
raise ZeroDivisionError("complex division by zero")
|
||
|
|
if abs(breal) >= abs(bimag):
|
||
|
|
# Divide tops and bottom by b.real
|
||
|
|
if not breal:
|
||
|
|
return complex(NAN, NAN)
|
||
|
|
ratio = bimag / breal
|
||
|
|
denom = breal + bimag * ratio
|
||
|
|
return complex(
|
||
|
|
(areal + aimag * ratio) / denom,
|
||
|
|
(aimag - areal * ratio) / denom)
|
||
|
|
else:
|
||
|
|
# Divide tops and bottom by b.imag
|
||
|
|
if not bimag:
|
||
|
|
return complex(NAN, NAN)
|
||
|
|
ratio = breal / bimag
|
||
|
|
denom = breal * ratio + bimag
|
||
|
|
return complex(
|
||
|
|
(a.real * ratio + a.imag) / denom,
|
||
|
|
(a.imag * ratio - a.real) / denom)
|
||
|
|
|
||
|
|
res = context.compile_internal(builder, complex_div, sig, args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def complex_negate_impl(context, builder, sig, args):
|
||
|
|
from numba.cpython import mathimpl
|
||
|
|
[typ] = sig.args
|
||
|
|
[val] = args
|
||
|
|
cmplx = context.make_complex(builder, typ, value=val)
|
||
|
|
res = context.make_complex(builder, typ)
|
||
|
|
res.real = mathimpl.negate_real(builder, cmplx.real)
|
||
|
|
res.imag = mathimpl.negate_real(builder, cmplx.imag)
|
||
|
|
res = res._getvalue()
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def complex_positive_impl(context, builder, sig, args):
|
||
|
|
[val] = args
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, val)
|
||
|
|
|
||
|
|
|
||
|
|
def complex_eq_impl(context, builder, sig, args):
|
||
|
|
[cx, cy] = args
|
||
|
|
typ = sig.args[0]
|
||
|
|
x = context.make_complex(builder, typ, value=cx)
|
||
|
|
y = context.make_complex(builder, typ, value=cy)
|
||
|
|
|
||
|
|
reals_are_eq = builder.fcmp_ordered('==', x.real, y.real)
|
||
|
|
imags_are_eq = builder.fcmp_ordered('==', x.imag, y.imag)
|
||
|
|
res = builder.and_(reals_are_eq, imags_are_eq)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def complex_ne_impl(context, builder, sig, args):
|
||
|
|
[cx, cy] = args
|
||
|
|
typ = sig.args[0]
|
||
|
|
x = context.make_complex(builder, typ, value=cx)
|
||
|
|
y = context.make_complex(builder, typ, value=cy)
|
||
|
|
|
||
|
|
reals_are_ne = builder.fcmp_unordered('!=', x.real, y.real)
|
||
|
|
imags_are_ne = builder.fcmp_unordered('!=', x.imag, y.imag)
|
||
|
|
res = builder.or_(reals_are_ne, imags_are_ne)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
def complex_abs_impl(context, builder, sig, args):
|
||
|
|
"""
|
||
|
|
abs(z) := hypot(z.real, z.imag)
|
||
|
|
"""
|
||
|
|
def complex_abs(z):
|
||
|
|
return math.hypot(z.real, z.imag)
|
||
|
|
|
||
|
|
res = context.compile_internal(builder, complex_abs, sig, args)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
|
||
|
|
ty = types.Complex
|
||
|
|
|
||
|
|
lower_builtin(operator.add, ty, ty)(complex_add_impl)
|
||
|
|
lower_builtin(operator.iadd, ty, ty)(complex_add_impl)
|
||
|
|
lower_builtin(operator.sub, ty, ty)(complex_sub_impl)
|
||
|
|
lower_builtin(operator.isub, ty, ty)(complex_sub_impl)
|
||
|
|
lower_builtin(operator.mul, ty, ty)(complex_mul_impl)
|
||
|
|
lower_builtin(operator.imul, ty, ty)(complex_mul_impl)
|
||
|
|
lower_builtin(operator.truediv, ty, ty)(complex_div_impl)
|
||
|
|
lower_builtin(operator.itruediv, ty, ty)(complex_div_impl)
|
||
|
|
lower_builtin(operator.neg, ty)(complex_negate_impl)
|
||
|
|
lower_builtin(operator.pos, ty)(complex_positive_impl)
|
||
|
|
# Complex modulo is deprecated in python3
|
||
|
|
|
||
|
|
lower_builtin(operator.eq, ty, ty)(complex_eq_impl)
|
||
|
|
lower_builtin(operator.ne, ty, ty)(complex_ne_impl)
|
||
|
|
|
||
|
|
lower_builtin(abs, ty)(complex_abs_impl)
|
||
|
|
|
||
|
|
del ty
|
||
|
|
|
||
|
|
|
||
|
|
@lower_builtin("number.item", types.Boolean)
|
||
|
|
@lower_builtin("number.item", types.Number)
|
||
|
|
def number_item_impl(context, builder, sig, args):
|
||
|
|
"""
|
||
|
|
The no-op .item() method on booleans and numbers.
|
||
|
|
"""
|
||
|
|
return args[0]
|
||
|
|
|
||
|
|
|
||
|
|
#------------------------------------------------------------------------------
|
||
|
|
|
||
|
|
|
||
|
|
def number_not_impl(context, builder, sig, args):
|
||
|
|
[typ] = sig.args
|
||
|
|
[val] = args
|
||
|
|
istrue = context.cast(builder, val, typ, sig.return_type)
|
||
|
|
res = builder.not_(istrue)
|
||
|
|
return impl_ret_untracked(context, builder, sig.return_type, res)
|
||
|
|
|
||
|
|
@lower_builtin(bool, types.Boolean)
|
||
|
|
def bool_as_bool(context, builder, sig, args):
|
||
|
|
[val] = args
|
||
|
|
return val
|
||
|
|
|
||
|
|
@lower_builtin(bool, types.Integer)
|
||
|
|
def int_as_bool(context, builder, sig, args):
|
||
|
|
[val] = args
|
||
|
|
return builder.icmp_unsigned('!=', val, Constant(val.type, 0))
|
||
|
|
|
||
|
|
@lower_builtin(bool, types.Float)
|
||
|
|
def float_as_bool(context, builder, sig, args):
|
||
|
|
[val] = args
|
||
|
|
return builder.fcmp_unordered('!=', val, Constant(val.type, 0.0))
|
||
|
|
|
||
|
|
@lower_builtin(bool, types.Complex)
|
||
|
|
def complex_as_bool(context, builder, sig, args):
|
||
|
|
[typ] = sig.args
|
||
|
|
[val] = args
|
||
|
|
cmplx = context.make_complex(builder, typ, val)
|
||
|
|
real, imag = cmplx.real, cmplx.imag
|
||
|
|
zero = Constant(real.type, 0.0)
|
||
|
|
real_istrue = builder.fcmp_unordered('!=', real, zero)
|
||
|
|
imag_istrue = builder.fcmp_unordered('!=', imag, zero)
|
||
|
|
return builder.or_(real_istrue, imag_istrue)
|
||
|
|
|
||
|
|
|
||
|
|
for ty in (types.Integer, types.Float, types.Complex):
|
||
|
|
lower_builtin(operator.not_, ty)(number_not_impl)
|
||
|
|
|
||
|
|
lower_builtin(operator.not_, types.boolean)(number_not_impl)
|
||
|
|
|
||
|
|
|
||
|
|
#------------------------------------------------------------------------------
|
||
|
|
# Hashing numbers, see hashing.py
|
||
|
|
|
||
|
|
#-------------------------------------------------------------------------------
|
||
|
|
# Implicit casts between numerics
|
||
|
|
|
||
|
|
@lower_cast(types.IntegerLiteral, types.Integer)
|
||
|
|
@lower_cast(types.IntegerLiteral, types.Float)
|
||
|
|
@lower_cast(types.IntegerLiteral, types.Complex)
|
||
|
|
def literal_int_to_number(context, builder, fromty, toty, val):
|
||
|
|
lit = context.get_constant_generic(
|
||
|
|
builder,
|
||
|
|
fromty.literal_type,
|
||
|
|
fromty.literal_value,
|
||
|
|
)
|
||
|
|
return context.cast(builder, lit, fromty.literal_type, toty)
|
||
|
|
|
||
|
|
|
||
|
|
@lower_cast(types.Integer, types.Integer)
|
||
|
|
def integer_to_integer(context, builder, fromty, toty, val):
|
||
|
|
if toty.bitwidth == fromty.bitwidth:
|
||
|
|
# Just a change of signedness
|
||
|
|
return val
|
||
|
|
elif toty.bitwidth < fromty.bitwidth:
|
||
|
|
# Downcast
|
||
|
|
return builder.trunc(val, context.get_value_type(toty))
|
||
|
|
elif fromty.signed:
|
||
|
|
# Signed upcast
|
||
|
|
return builder.sext(val, context.get_value_type(toty))
|
||
|
|
else:
|
||
|
|
# Unsigned upcast
|
||
|
|
return builder.zext(val, context.get_value_type(toty))
|
||
|
|
|
||
|
|
@lower_cast(types.Integer, types.voidptr)
|
||
|
|
def integer_to_voidptr(context, builder, fromty, toty, val):
|
||
|
|
return builder.inttoptr(val, context.get_value_type(toty))
|
||
|
|
|
||
|
|
@lower_cast(types.Float, types.Float)
|
||
|
|
def float_to_float(context, builder, fromty, toty, val):
|
||
|
|
lty = context.get_value_type(toty)
|
||
|
|
if fromty.bitwidth < toty.bitwidth:
|
||
|
|
return builder.fpext(val, lty)
|
||
|
|
else:
|
||
|
|
return builder.fptrunc(val, lty)
|
||
|
|
|
||
|
|
@lower_cast(types.Integer, types.Float)
|
||
|
|
def integer_to_float(context, builder, fromty, toty, val):
|
||
|
|
lty = context.get_value_type(toty)
|
||
|
|
if fromty.signed:
|
||
|
|
return builder.sitofp(val, lty)
|
||
|
|
else:
|
||
|
|
return builder.uitofp(val, lty)
|
||
|
|
|
||
|
|
@lower_cast(types.Float, types.Integer)
|
||
|
|
def float_to_integer(context, builder, fromty, toty, val):
|
||
|
|
lty = context.get_value_type(toty)
|
||
|
|
if toty.signed:
|
||
|
|
return builder.fptosi(val, lty)
|
||
|
|
else:
|
||
|
|
return builder.fptoui(val, lty)
|
||
|
|
|
||
|
|
@lower_cast(types.Float, types.Complex)
|
||
|
|
@lower_cast(types.Integer, types.Complex)
|
||
|
|
def non_complex_to_complex(context, builder, fromty, toty, val):
|
||
|
|
real = context.cast(builder, val, fromty, toty.underlying_float)
|
||
|
|
imag = context.get_constant(toty.underlying_float, 0)
|
||
|
|
|
||
|
|
cmplx = context.make_complex(builder, toty)
|
||
|
|
cmplx.real = real
|
||
|
|
cmplx.imag = imag
|
||
|
|
return cmplx._getvalue()
|
||
|
|
|
||
|
|
@lower_cast(types.Complex, types.Complex)
|
||
|
|
def complex_to_complex(context, builder, fromty, toty, val):
|
||
|
|
srcty = fromty.underlying_float
|
||
|
|
dstty = toty.underlying_float
|
||
|
|
|
||
|
|
src = context.make_complex(builder, fromty, value=val)
|
||
|
|
dst = context.make_complex(builder, toty)
|
||
|
|
dst.real = context.cast(builder, src.real, srcty, dstty)
|
||
|
|
dst.imag = context.cast(builder, src.imag, srcty, dstty)
|
||
|
|
return dst._getvalue()
|
||
|
|
|
||
|
|
@lower_cast(types.Any, types.Boolean)
|
||
|
|
def any_to_boolean(context, builder, fromty, toty, val):
|
||
|
|
return context.is_true(builder, fromty, val)
|
||
|
|
|
||
|
|
@lower_cast(types.Boolean, types.Number)
|
||
|
|
def boolean_to_any(context, builder, fromty, toty, val):
|
||
|
|
# Casting from boolean to anything first casts to int32
|
||
|
|
asint = builder.zext(val, ir.IntType(32))
|
||
|
|
return context.cast(builder, asint, types.int32, toty)
|
||
|
|
|
||
|
|
@lower_cast(types.IntegerLiteral, types.Boolean)
|
||
|
|
@lower_cast(types.BooleanLiteral, types.Boolean)
|
||
|
|
def literal_int_to_boolean(context, builder, fromty, toty, val):
|
||
|
|
lit = context.get_constant_generic(
|
||
|
|
builder,
|
||
|
|
fromty.literal_type,
|
||
|
|
fromty.literal_value,
|
||
|
|
)
|
||
|
|
return context.is_true(builder, fromty.literal_type, lit)
|
||
|
|
|
||
|
|
#-------------------------------------------------------------------------------
|
||
|
|
# Constants
|
||
|
|
|
||
|
|
@lower_constant(types.Complex)
|
||
|
|
def constant_complex(context, builder, ty, pyval):
|
||
|
|
fty = ty.underlying_float
|
||
|
|
real = context.get_constant_generic(builder, fty, pyval.real)
|
||
|
|
imag = context.get_constant_generic(builder, fty, pyval.imag)
|
||
|
|
return Constant.literal_struct((real, imag))
|
||
|
|
|
||
|
|
@lower_constant(types.Integer)
|
||
|
|
@lower_constant(types.Float)
|
||
|
|
@lower_constant(types.Boolean)
|
||
|
|
def constant_integer(context, builder, ty, pyval):
|
||
|
|
# See https://github.com/numba/numba/issues/6979
|
||
|
|
# llvmlite ir.IntType specialises the formatting of the constant for a
|
||
|
|
# cpython bool. A NumPy np.bool_ is not a cpython bool so force it to be one
|
||
|
|
# so that the constant renders correctly!
|
||
|
|
if isinstance(pyval, np.bool_):
|
||
|
|
pyval = bool(pyval)
|
||
|
|
lty = context.get_value_type(ty)
|
||
|
|
return lty(pyval)
|
||
|
|
|
||
|
|
|
||
|
|
#-------------------------------------------------------------------------------
|
||
|
|
# View
|
||
|
|
|
||
|
|
def scalar_view(scalar, viewty):
|
||
|
|
""" Typing for the np scalar 'view' method. """
|
||
|
|
if (isinstance(scalar, (types.Float, types.Integer))
|
||
|
|
and isinstance(viewty, types.abstract.DTypeSpec)):
|
||
|
|
if scalar.bitwidth != viewty.dtype.bitwidth:
|
||
|
|
raise errors.TypingError(
|
||
|
|
"Changing the dtype of a 0d array is only supported if the "
|
||
|
|
"itemsize is unchanged")
|
||
|
|
|
||
|
|
def impl(scalar, viewty):
|
||
|
|
return viewer(scalar, viewty)
|
||
|
|
return impl
|
||
|
|
|
||
|
|
|
||
|
|
overload_method(types.Float, 'view')(scalar_view)
|
||
|
|
overload_method(types.Integer, 'view')(scalar_view)
|