"""Contains information on how to translate different ufuncs for the CUDA
target. It is a database of different ufuncs and how each of its loops maps to
a function that implements the inner kernel of that ufunc (the inner kernel
being the per-element function).

Use get_ufunc_info() to get the information related to a ufunc.
"""

import math
import numpy as np
from functools import lru_cache
from numba.core import typing
from numba.cuda.mathimpl import (
    get_unary_impl_for_fn_and_ty,
    get_binary_impl_for_fn_and_ty,
)


def get_ufunc_info(ufunc_key):
    return ufunc_db()[ufunc_key]


@lru_cache
def ufunc_db():
    # Imports here are at function scope to avoid circular imports
    from numba.cpython import cmathimpl, mathimpl, numbers
    from numba.np import npyfuncs
    from numba.np.numpy_support import numpy_version

    def np_unary_impl(fn, context, builder, sig, args):
        npyfuncs._check_arity_and_homogeneity(sig, args, 1)
        impl = get_unary_impl_for_fn_and_ty(fn, sig.args[0])
        return impl(context, builder, sig, args)

    def np_binary_impl(fn, context, builder, sig, args):
        npyfuncs._check_arity_and_homogeneity(sig, args, 2)
        impl = get_binary_impl_for_fn_and_ty(fn, sig.args[0])
        return impl(context, builder, sig, args)

    def np_real_log_impl(context, builder, sig, args):
        return np_unary_impl(math.log, context, builder, sig, args)

    def np_real_log2_impl(context, builder, sig, args):
        return np_unary_impl(math.log2, context, builder, sig, args)

    def np_real_log10_impl(context, builder, sig, args):
        return np_unary_impl(math.log10, context, builder, sig, args)

    def np_real_sin_impl(context, builder, sig, args):
        return np_unary_impl(math.sin, context, builder, sig, args)

    def np_real_cos_impl(context, builder, sig, args):
        return np_unary_impl(math.cos, context, builder, sig, args)

    def np_real_tan_impl(context, builder, sig, args):
        return np_unary_impl(math.tan, context, builder, sig, args)

    def np_real_asin_impl(context, builder, sig, args):
        return np_unary_impl(math.asin, context, builder, sig, args)

    def np_real_acos_impl(context, builder, sig, args):
        return np_unary_impl(math.acos, context, builder, sig, args)

    def np_real_atan_impl(context, builder, sig, args):
        return np_unary_impl(math.atan, context, builder, sig, args)

    def np_real_atan2_impl(context, builder, sig, args):
        return np_binary_impl(math.atan2, context, builder, sig, args)

    def np_real_hypot_impl(context, builder, sig, args):
        return np_binary_impl(math.hypot, context, builder, sig, args)

    def np_real_sinh_impl(context, builder, sig, args):
        return np_unary_impl(math.sinh, context, builder, sig, args)

    def np_complex_sinh_impl(context, builder, sig, args):
        # npymath does not provide a complex sinh. The code in funcs.inc.src
        # is translated here...
        npyfuncs._check_arity_and_homogeneity(sig, args, 1)

        ty = sig.args[0]
        fty = ty.underlying_float
        fsig1 = typing.signature(*[fty] * 2)
        x = context.make_complex(builder, ty, args[0])
        out = context.make_complex(builder, ty)
        xr = x.real
        xi = x.imag

        sxi = np_real_sin_impl(context, builder, fsig1, [xi])
        shxr = np_real_sinh_impl(context, builder, fsig1, [xr])
        cxi = np_real_cos_impl(context, builder, fsig1, [xi])
        chxr = np_real_cosh_impl(context, builder, fsig1, [xr])

        out.real = builder.fmul(cxi, shxr)
        out.imag = builder.fmul(sxi, chxr)

        return out._getvalue()

    def np_real_cosh_impl(context, builder, sig, args):
        return np_unary_impl(math.cosh, context, builder, sig, args)

    def np_complex_cosh_impl(context, builder, sig, args):
        # npymath does not provide a complex cosh. The code in funcs.inc.src
        # is translated here...
        npyfuncs._check_arity_and_homogeneity(sig, args, 1)

        ty = sig.args[0]
        fty = ty.underlying_float
        fsig1 = typing.signature(*[fty] * 2)
        x = context.make_complex(builder, ty, args[0])
        out = context.make_complex(builder, ty)
        xr = x.real
        xi = x.imag

        cxi = np_real_cos_impl(context, builder, fsig1, [xi])
        chxr = np_real_cosh_impl(context, builder, fsig1, [xr])
        sxi = np_real_sin_impl(context, builder, fsig1, [xi])
        shxr = np_real_sinh_impl(context, builder, fsig1, [xr])

        out.real = builder.fmul(cxi, chxr)
        out.imag = builder.fmul(sxi, shxr)

        return out._getvalue()

    def np_real_tanh_impl(context, builder, sig, args):
        return np_unary_impl(math.tanh, context, builder, sig, args)

    def np_complex_tanh_impl(context, builder, sig, args):
        # npymath does not provide complex tan functions. The code
        # in funcs.inc.src for tanh is translated here...
        npyfuncs._check_arity_and_homogeneity(sig, args, 1)

        ty = sig.args[0]
        fty = ty.underlying_float
        fsig1 = typing.signature(*[fty] * 2)
        ONE = context.get_constant(fty, 1.0)
        x = context.make_complex(builder, ty, args[0])
        out = context.make_complex(builder, ty)

        xr = x.real
        xi = x.imag
        si = np_real_sin_impl(context, builder, fsig1, [xi])
        ci = np_real_cos_impl(context, builder, fsig1, [xi])
        shr = np_real_sinh_impl(context, builder, fsig1, [xr])
        chr_ = np_real_cosh_impl(context, builder, fsig1, [xr])
        rs = builder.fmul(ci, shr)
        is_ = builder.fmul(si, chr_)
        rc = builder.fmul(ci, chr_)
        # Note: opposite sign for `ic` from code in funcs.inc.src
        ic = builder.fmul(si, shr)
        sqr_rc = builder.fmul(rc, rc)
        sqr_ic = builder.fmul(ic, ic)
        d = builder.fadd(sqr_rc, sqr_ic)
        inv_d = builder.fdiv(ONE, d)
        rs_rc = builder.fmul(rs, rc)
        is_ic = builder.fmul(is_, ic)
        is_rc = builder.fmul(is_, rc)
        rs_ic = builder.fmul(rs, ic)
        numr = builder.fadd(rs_rc, is_ic)
        numi = builder.fsub(is_rc, rs_ic)
        out.real = builder.fmul(numr, inv_d)
        out.imag = builder.fmul(numi, inv_d)

        return out._getvalue()

    def np_real_asinh_impl(context, builder, sig, args):
        return np_unary_impl(math.asinh, context, builder, sig, args)

    def np_real_acosh_impl(context, builder, sig, args):
        return np_unary_impl(math.acosh, context, builder, sig, args)

    def np_real_atanh_impl(context, builder, sig, args):
        return np_unary_impl(math.atanh, context, builder, sig, args)

    db = {}

    db[np.sin] = {
        "f->f": np_real_sin_impl,
        "d->d": np_real_sin_impl,
        "F->F": npyfuncs.np_complex_sin_impl,
        "D->D": npyfuncs.np_complex_sin_impl,
    }

    db[np.cos] = {
        "f->f": np_real_cos_impl,
        "d->d": np_real_cos_impl,
        "F->F": npyfuncs.np_complex_cos_impl,
        "D->D": npyfuncs.np_complex_cos_impl,
    }

    db[np.tan] = {
        "f->f": np_real_tan_impl,
        "d->d": np_real_tan_impl,
        "F->F": cmathimpl.tan_impl,
        "D->D": cmathimpl.tan_impl,
    }

    db[np.arcsin] = {
        "f->f": np_real_asin_impl,
        "d->d": np_real_asin_impl,
        "F->F": cmathimpl.asin_impl,
        "D->D": cmathimpl.asin_impl,
    }

    db[np.arccos] = {
        "f->f": np_real_acos_impl,
        "d->d": np_real_acos_impl,
        "F->F": cmathimpl.acos_impl,
        "D->D": cmathimpl.acos_impl,
    }

    db[np.arctan] = {
        "f->f": np_real_atan_impl,
        "d->d": np_real_atan_impl,
        "F->F": cmathimpl.atan_impl,
        "D->D": cmathimpl.atan_impl,
    }

    db[np.arctan2] = {
        "ff->f": np_real_atan2_impl,
        "dd->d": np_real_atan2_impl,
    }

    db[np.hypot] = {
        "ff->f": np_real_hypot_impl,
        "dd->d": np_real_hypot_impl,
    }

    db[np.sinh] = {
        "f->f": np_real_sinh_impl,
        "d->d": np_real_sinh_impl,
        "F->F": np_complex_sinh_impl,
        "D->D": np_complex_sinh_impl,
    }

    db[np.cosh] = {
        "f->f": np_real_cosh_impl,
        "d->d": np_real_cosh_impl,
        "F->F": np_complex_cosh_impl,
        "D->D": np_complex_cosh_impl,
    }

    db[np.tanh] = {
        "f->f": np_real_tanh_impl,
        "d->d": np_real_tanh_impl,
        "F->F": np_complex_tanh_impl,
        "D->D": np_complex_tanh_impl,
    }

    db[np.arcsinh] = {
        "f->f": np_real_asinh_impl,
        "d->d": np_real_asinh_impl,
        "F->F": cmathimpl.asinh_impl,
        "D->D": cmathimpl.asinh_impl,
    }

    db[np.arccosh] = {
        "f->f": np_real_acosh_impl,
        "d->d": np_real_acosh_impl,
        "F->F": npyfuncs.np_complex_acosh_impl,
        "D->D": npyfuncs.np_complex_acosh_impl,
    }

    db[np.arctanh] = {
        "f->f": np_real_atanh_impl,
        "d->d": np_real_atanh_impl,
        "F->F": cmathimpl.atanh_impl,
        "D->D": cmathimpl.atanh_impl,
    }

    db[np.deg2rad] = {
        "f->f": mathimpl.radians_float_impl,
        "d->d": mathimpl.radians_float_impl,
    }

    db[np.radians] = db[np.deg2rad]

    db[np.rad2deg] = {
        "f->f": mathimpl.degrees_float_impl,
        "d->d": mathimpl.degrees_float_impl,
    }

    db[np.degrees] = db[np.rad2deg]

    db[np.greater] = {
        "??->?": numbers.int_ugt_impl,
        "bb->?": numbers.int_sgt_impl,
        "BB->?": numbers.int_ugt_impl,
        "hh->?": numbers.int_sgt_impl,
        "HH->?": numbers.int_ugt_impl,
        "ii->?": numbers.int_sgt_impl,
        "II->?": numbers.int_ugt_impl,
        "ll->?": numbers.int_sgt_impl,
        "LL->?": numbers.int_ugt_impl,
        "qq->?": numbers.int_sgt_impl,
        "QQ->?": numbers.int_ugt_impl,
        "ff->?": numbers.real_gt_impl,
        "dd->?": numbers.real_gt_impl,
        "FF->?": npyfuncs.np_complex_gt_impl,
        "DD->?": npyfuncs.np_complex_gt_impl,
    }
    if numpy_version >= (1, 25):
        db[np.greater].update(
            {
                "qQ->?": numbers.int_signed_unsigned_cmp(">"),
                "Qq->?": numbers.int_unsigned_signed_cmp(">"),
            }
        )

    db[np.greater_equal] = {
        "??->?": numbers.int_uge_impl,
        "bb->?": numbers.int_sge_impl,
        "BB->?": numbers.int_uge_impl,
        "hh->?": numbers.int_sge_impl,
        "HH->?": numbers.int_uge_impl,
        "ii->?": numbers.int_sge_impl,
        "II->?": numbers.int_uge_impl,
        "ll->?": numbers.int_sge_impl,
        "LL->?": numbers.int_uge_impl,
        "qq->?": numbers.int_sge_impl,
        "QQ->?": numbers.int_uge_impl,
        "ff->?": numbers.real_ge_impl,
        "dd->?": numbers.real_ge_impl,
        "FF->?": npyfuncs.np_complex_ge_impl,
        "DD->?": npyfuncs.np_complex_ge_impl,
    }
    if numpy_version >= (1, 25):
        db[np.greater_equal].update(
            {
                "qQ->?": numbers.int_signed_unsigned_cmp(">="),
                "Qq->?": numbers.int_unsigned_signed_cmp(">="),
            }
        )

    db[np.less] = {
        "??->?": numbers.int_ult_impl,
        "bb->?": numbers.int_slt_impl,
        "BB->?": numbers.int_ult_impl,
        "hh->?": numbers.int_slt_impl,
        "HH->?": numbers.int_ult_impl,
        "ii->?": numbers.int_slt_impl,
        "II->?": numbers.int_ult_impl,
        "ll->?": numbers.int_slt_impl,
        "LL->?": numbers.int_ult_impl,
        "qq->?": numbers.int_slt_impl,
        "QQ->?": numbers.int_ult_impl,
        "ff->?": numbers.real_lt_impl,
        "dd->?": numbers.real_lt_impl,
        "FF->?": npyfuncs.np_complex_lt_impl,
        "DD->?": npyfuncs.np_complex_lt_impl,
    }
    if numpy_version >= (1, 25):
        db[np.less].update(
            {
                "qQ->?": numbers.int_signed_unsigned_cmp("<"),
                "Qq->?": numbers.int_unsigned_signed_cmp("<"),
            }
        )

    db[np.less_equal] = {
        "??->?": numbers.int_ule_impl,
        "bb->?": numbers.int_sle_impl,
        "BB->?": numbers.int_ule_impl,
        "hh->?": numbers.int_sle_impl,
        "HH->?": numbers.int_ule_impl,
        "ii->?": numbers.int_sle_impl,
        "II->?": numbers.int_ule_impl,
        "ll->?": numbers.int_sle_impl,
        "LL->?": numbers.int_ule_impl,
        "qq->?": numbers.int_sle_impl,
        "QQ->?": numbers.int_ule_impl,
        "ff->?": numbers.real_le_impl,
        "dd->?": numbers.real_le_impl,
        "FF->?": npyfuncs.np_complex_le_impl,
        "DD->?": npyfuncs.np_complex_le_impl,
    }
    if numpy_version >= (1, 25):
        db[np.less_equal].update(
            {
                "qQ->?": numbers.int_signed_unsigned_cmp("<="),
                "Qq->?": numbers.int_unsigned_signed_cmp("<="),
            }
        )

    db[np.not_equal] = {
        "??->?": numbers.int_ne_impl,
        "bb->?": numbers.int_ne_impl,
        "BB->?": numbers.int_ne_impl,
        "hh->?": numbers.int_ne_impl,
        "HH->?": numbers.int_ne_impl,
        "ii->?": numbers.int_ne_impl,
        "II->?": numbers.int_ne_impl,
        "ll->?": numbers.int_ne_impl,
        "LL->?": numbers.int_ne_impl,
        "qq->?": numbers.int_ne_impl,
        "QQ->?": numbers.int_ne_impl,
        "ff->?": numbers.real_ne_impl,
        "dd->?": numbers.real_ne_impl,
        "FF->?": npyfuncs.np_complex_ne_impl,
        "DD->?": npyfuncs.np_complex_ne_impl,
    }
    if numpy_version >= (1, 25):
        db[np.not_equal].update(
            {
                "qQ->?": numbers.int_signed_unsigned_cmp("!="),
                "Qq->?": numbers.int_unsigned_signed_cmp("!="),
            }
        )

    db[np.equal] = {
        "??->?": numbers.int_eq_impl,
        "bb->?": numbers.int_eq_impl,
        "BB->?": numbers.int_eq_impl,
        "hh->?": numbers.int_eq_impl,
        "HH->?": numbers.int_eq_impl,
        "ii->?": numbers.int_eq_impl,
        "II->?": numbers.int_eq_impl,
        "ll->?": numbers.int_eq_impl,
        "LL->?": numbers.int_eq_impl,
        "qq->?": numbers.int_eq_impl,
        "QQ->?": numbers.int_eq_impl,
        "ff->?": numbers.real_eq_impl,
        "dd->?": numbers.real_eq_impl,
        "FF->?": npyfuncs.np_complex_eq_impl,
        "DD->?": npyfuncs.np_complex_eq_impl,
    }
    if numpy_version >= (1, 25):
        db[np.equal].update(
            {
                "qQ->?": numbers.int_signed_unsigned_cmp("=="),
                "Qq->?": numbers.int_unsigned_signed_cmp("=="),
            }
        )

    db[np.logical_and] = {
        "??->?": npyfuncs.np_logical_and_impl,
        "bb->?": npyfuncs.np_logical_and_impl,
        "BB->?": npyfuncs.np_logical_and_impl,
        "hh->?": npyfuncs.np_logical_and_impl,
        "HH->?": npyfuncs.np_logical_and_impl,
        "ii->?": npyfuncs.np_logical_and_impl,
        "II->?": npyfuncs.np_logical_and_impl,
        "ll->?": npyfuncs.np_logical_and_impl,
        "LL->?": npyfuncs.np_logical_and_impl,
        "qq->?": npyfuncs.np_logical_and_impl,
        "QQ->?": npyfuncs.np_logical_and_impl,
        "ff->?": npyfuncs.np_logical_and_impl,
        "dd->?": npyfuncs.np_logical_and_impl,
        "FF->?": npyfuncs.np_complex_logical_and_impl,
        "DD->?": npyfuncs.np_complex_logical_and_impl,
    }

    db[np.logical_or] = {
        "??->?": npyfuncs.np_logical_or_impl,
        "bb->?": npyfuncs.np_logical_or_impl,
        "BB->?": npyfuncs.np_logical_or_impl,
        "hh->?": npyfuncs.np_logical_or_impl,
        "HH->?": npyfuncs.np_logical_or_impl,
        "ii->?": npyfuncs.np_logical_or_impl,
        "II->?": npyfuncs.np_logical_or_impl,
        "ll->?": npyfuncs.np_logical_or_impl,
        "LL->?": npyfuncs.np_logical_or_impl,
        "qq->?": npyfuncs.np_logical_or_impl,
        "QQ->?": npyfuncs.np_logical_or_impl,
        "ff->?": npyfuncs.np_logical_or_impl,
        "dd->?": npyfuncs.np_logical_or_impl,
        "FF->?": npyfuncs.np_complex_logical_or_impl,
        "DD->?": npyfuncs.np_complex_logical_or_impl,
    }

    db[np.logical_xor] = {
        "??->?": npyfuncs.np_logical_xor_impl,
        "bb->?": npyfuncs.np_logical_xor_impl,
        "BB->?": npyfuncs.np_logical_xor_impl,
        "hh->?": npyfuncs.np_logical_xor_impl,
        "HH->?": npyfuncs.np_logical_xor_impl,
        "ii->?": npyfuncs.np_logical_xor_impl,
        "II->?": npyfuncs.np_logical_xor_impl,
        "ll->?": npyfuncs.np_logical_xor_impl,
        "LL->?": npyfuncs.np_logical_xor_impl,
        "qq->?": npyfuncs.np_logical_xor_impl,
        "QQ->?": npyfuncs.np_logical_xor_impl,
        "ff->?": npyfuncs.np_logical_xor_impl,
        "dd->?": npyfuncs.np_logical_xor_impl,
        "FF->?": npyfuncs.np_complex_logical_xor_impl,
        "DD->?": npyfuncs.np_complex_logical_xor_impl,
    }

    db[np.logical_not] = {
        "?->?": npyfuncs.np_logical_not_impl,
        "b->?": npyfuncs.np_logical_not_impl,
        "B->?": npyfuncs.np_logical_not_impl,
        "h->?": npyfuncs.np_logical_not_impl,
        "H->?": npyfuncs.np_logical_not_impl,
        "i->?": npyfuncs.np_logical_not_impl,
        "I->?": npyfuncs.np_logical_not_impl,
        "l->?": npyfuncs.np_logical_not_impl,
        "L->?": npyfuncs.np_logical_not_impl,
        "q->?": npyfuncs.np_logical_not_impl,
        "Q->?": npyfuncs.np_logical_not_impl,
        "f->?": npyfuncs.np_logical_not_impl,
        "d->?": npyfuncs.np_logical_not_impl,
        "F->?": npyfuncs.np_complex_logical_not_impl,
        "D->?": npyfuncs.np_complex_logical_not_impl,
    }

    db[np.maximum] = {
        "??->?": npyfuncs.np_logical_or_impl,
        "bb->b": npyfuncs.np_int_smax_impl,
        "BB->B": npyfuncs.np_int_umax_impl,
        "hh->h": npyfuncs.np_int_smax_impl,
        "HH->H": npyfuncs.np_int_umax_impl,
        "ii->i": npyfuncs.np_int_smax_impl,
        "II->I": npyfuncs.np_int_umax_impl,
        "ll->l": npyfuncs.np_int_smax_impl,
        "LL->L": npyfuncs.np_int_umax_impl,
        "qq->q": npyfuncs.np_int_smax_impl,
        "QQ->Q": npyfuncs.np_int_umax_impl,
        "ff->f": npyfuncs.np_real_maximum_impl,
        "dd->d": npyfuncs.np_real_maximum_impl,
        "FF->F": npyfuncs.np_complex_maximum_impl,
        "DD->D": npyfuncs.np_complex_maximum_impl,
    }

    db[np.minimum] = {
        "??->?": npyfuncs.np_logical_and_impl,
        "bb->b": npyfuncs.np_int_smin_impl,
        "BB->B": npyfuncs.np_int_umin_impl,
        "hh->h": npyfuncs.np_int_smin_impl,
        "HH->H": npyfuncs.np_int_umin_impl,
        "ii->i": npyfuncs.np_int_smin_impl,
        "II->I": npyfuncs.np_int_umin_impl,
        "ll->l": npyfuncs.np_int_smin_impl,
        "LL->L": npyfuncs.np_int_umin_impl,
        "qq->q": npyfuncs.np_int_smin_impl,
        "QQ->Q": npyfuncs.np_int_umin_impl,
        "ff->f": npyfuncs.np_real_minimum_impl,
        "dd->d": npyfuncs.np_real_minimum_impl,
        "FF->F": npyfuncs.np_complex_minimum_impl,
        "DD->D": npyfuncs.np_complex_minimum_impl,
    }

    db[np.fmax] = {
        "??->?": npyfuncs.np_logical_or_impl,
        "bb->b": npyfuncs.np_int_smax_impl,
        "BB->B": npyfuncs.np_int_umax_impl,
        "hh->h": npyfuncs.np_int_smax_impl,
        "HH->H": npyfuncs.np_int_umax_impl,
        "ii->i": npyfuncs.np_int_smax_impl,
        "II->I": npyfuncs.np_int_umax_impl,
        "ll->l": npyfuncs.np_int_smax_impl,
        "LL->L": npyfuncs.np_int_umax_impl,
        "qq->q": npyfuncs.np_int_smax_impl,
        "QQ->Q": npyfuncs.np_int_umax_impl,
        "ff->f": npyfuncs.np_real_fmax_impl,
        "dd->d": npyfuncs.np_real_fmax_impl,
        "FF->F": npyfuncs.np_complex_fmax_impl,
        "DD->D": npyfuncs.np_complex_fmax_impl,
    }

    db[np.fmin] = {
        "??->?": npyfuncs.np_logical_and_impl,
        "bb->b": npyfuncs.np_int_smin_impl,
        "BB->B": npyfuncs.np_int_umin_impl,
        "hh->h": npyfuncs.np_int_smin_impl,
        "HH->H": npyfuncs.np_int_umin_impl,
        "ii->i": npyfuncs.np_int_smin_impl,
        "II->I": npyfuncs.np_int_umin_impl,
        "ll->l": npyfuncs.np_int_smin_impl,
        "LL->L": npyfuncs.np_int_umin_impl,
        "qq->q": npyfuncs.np_int_smin_impl,
        "QQ->Q": npyfuncs.np_int_umin_impl,
        "ff->f": npyfuncs.np_real_fmin_impl,
        "dd->d": npyfuncs.np_real_fmin_impl,
        "FF->F": npyfuncs.np_complex_fmin_impl,
        "DD->D": npyfuncs.np_complex_fmin_impl,
    }

    db[np.bitwise_and] = {
        "??->?": numbers.int_and_impl,
        "bb->b": numbers.int_and_impl,
        "BB->B": numbers.int_and_impl,
        "hh->h": numbers.int_and_impl,
        "HH->H": numbers.int_and_impl,
        "ii->i": numbers.int_and_impl,
        "II->I": numbers.int_and_impl,
        "ll->l": numbers.int_and_impl,
        "LL->L": numbers.int_and_impl,
        "qq->q": numbers.int_and_impl,
        "QQ->Q": numbers.int_and_impl,
    }

    db[np.bitwise_or] = {
        "??->?": numbers.int_or_impl,
        "bb->b": numbers.int_or_impl,
        "BB->B": numbers.int_or_impl,
        "hh->h": numbers.int_or_impl,
        "HH->H": numbers.int_or_impl,
        "ii->i": numbers.int_or_impl,
        "II->I": numbers.int_or_impl,
        "ll->l": numbers.int_or_impl,
        "LL->L": numbers.int_or_impl,
        "qq->q": numbers.int_or_impl,
        "QQ->Q": numbers.int_or_impl,
    }

    db[np.bitwise_xor] = {
        "??->?": numbers.int_xor_impl,
        "bb->b": numbers.int_xor_impl,
        "BB->B": numbers.int_xor_impl,
        "hh->h": numbers.int_xor_impl,
        "HH->H": numbers.int_xor_impl,
        "ii->i": numbers.int_xor_impl,
        "II->I": numbers.int_xor_impl,
        "ll->l": numbers.int_xor_impl,
        "LL->L": numbers.int_xor_impl,
        "qq->q": numbers.int_xor_impl,
        "QQ->Q": numbers.int_xor_impl,
    }

    db[np.invert] = {
        "?->?": numbers.int_invert_impl,
        "b->b": numbers.int_invert_impl,
        "B->B": numbers.int_invert_impl,
        "h->h": numbers.int_invert_impl,
        "H->H": numbers.int_invert_impl,
        "i->i": numbers.int_invert_impl,
        "I->I": numbers.int_invert_impl,
        "l->l": numbers.int_invert_impl,
        "L->L": numbers.int_invert_impl,
        "q->q": numbers.int_invert_impl,
        "Q->Q": numbers.int_invert_impl,
    }

    db[np.left_shift] = {
        "bb->b": numbers.int_shl_impl,
        "BB->B": numbers.int_shl_impl,
        "hh->h": numbers.int_shl_impl,
        "HH->H": numbers.int_shl_impl,
        "ii->i": numbers.int_shl_impl,
        "II->I": numbers.int_shl_impl,
        "ll->l": numbers.int_shl_impl,
        "LL->L": numbers.int_shl_impl,
        "qq->q": numbers.int_shl_impl,
        "QQ->Q": numbers.int_shl_impl,
    }

    db[np.right_shift] = {
        "bb->b": numbers.int_shr_impl,
        "BB->B": numbers.int_shr_impl,
        "hh->h": numbers.int_shr_impl,
        "HH->H": numbers.int_shr_impl,
        "ii->i": numbers.int_shr_impl,
        "II->I": numbers.int_shr_impl,
        "ll->l": numbers.int_shr_impl,
        "LL->L": numbers.int_shr_impl,
        "qq->q": numbers.int_shr_impl,
        "QQ->Q": numbers.int_shr_impl,
    }

    db[np.log] = {
        "f->f": np_real_log_impl,
        "d->d": np_real_log_impl,
        "F->F": npyfuncs.np_complex_log_impl,
        "D->D": npyfuncs.np_complex_log_impl,
    }

    db[np.log2] = {
        "f->f": np_real_log2_impl,
        "d->d": np_real_log2_impl,
        "F->F": npyfuncs.np_complex_log2_impl,
        "D->D": npyfuncs.np_complex_log2_impl,
    }

    db[np.log10] = {
        "f->f": np_real_log10_impl,
        "d->d": np_real_log10_impl,
        "F->F": npyfuncs.np_complex_log10_impl,
        "D->D": npyfuncs.np_complex_log10_impl,
    }

    return db