\pset linestyle unicode

\pset border 2

-- # BinaryOp

--

-- In [mathematics](https://en.wikipedia.org/wiki/Mathematics

-- "Mathematics"), a **binary operation** or **dyadic operation** is a

-- rule for combining two

-- [elements](https://en.wikipedia.org/wiki/Element_(mathematics)

-- "Element (mathematics)") (called

-- [operands](https://en.wikipedia.org/wiki/Operands "Operands")) to

-- produce another element. More formally, a binary operation is an

-- [operation](https://en.wikipedia.org/wiki/Operation_(mathematics)

-- "Operation (mathematics)") of

-- [arity](https://en.wikipedia.org/wiki/Arity "Arity") two.

--

-- ## User Defined Binary Operators

--

-- User defined functions can be registered with OneSparse by

-- inserting them into the `onesparse.user_defined_binaryop` table.

-- They can then be JIT compiled into kernels and used in any function

-- that takes a `binaryop` argument.

--

-- To use User Defined Operators, OneSparse must enable the

-- SuiteSparse JIT compiler by setting `onesparse.jit_control = 'on'`

-- in your `postgresql.conf`. The default is `off`. For maximum

-- security, only enable JIT compilation on development servers and

-- turn it off in production.

show onesparse.jit_control; -- This must be set to 'on' in postgres config.

--

-- Insert the expected function types and function body into the

-- table. Here is an example function that computes the [Hamming

-- Distance](https://en.wikipedia.org/wiki/Hamming_distance) between

-- two elements. See the SuiteSparse User Guide for more details:

--

insert into user_defined_binaryop (name, ztype, xtype, ytype, func) VALUES

('binary_hamming_dist', 'int64', 'int64', 'int64',

$$

void binary_hamming_dist (int64_t *z, int64_t *x, int64_t *y) {

(*z) = __builtin_popcountll((*x)^(*y));

};

$$);

-- The new operator can now be used in functions that take `binaryop`

-- operators like `eadd`:

select eadd(random_vector('int64', 16, 'inf', 42),

random_vector('int64', 16, 'inf', 43),

'binary_hamming_dist');

-- ## Built-in Operators

--

-- | OneSparse Name | SuiteSparse Name |

-- |----------------|------------------|

-- | first_bool | GrB_FIRST_BOOL |

-- | second_bool | GrB_SECOND_BOOL |

-- | oneb_bool | GrB_ONEB_BOOL |

-- | first_int8 | GrB_FIRST_INT8 |

-- | second_int8 | GrB_SECOND_INT8 |

-- | oneb_int8 | GrB_ONEB_INT8 |

-- | first_int16 | GrB_FIRST_INT16 |

-- | second_int16 | GrB_SECOND_INT16 |

-- | oneb_int16 | GrB_ONEB_INT16 |

-- | first_int32 | GrB_FIRST_INT32 |

-- | second_int32 | GrB_SECOND_INT32 |

-- | oneb_int32 | GrB_ONEB_INT32 |

-- | first_int64 | GrB_FIRST_INT64 |

-- | second_int64 | GrB_SECOND_INT64 |

-- | oneb_int64 | GrB_ONEB_INT64 |

-- | first_uint8 | GrB_FIRST_UINT8 |

-- | second_uint8 | GrB_SECOND_UINT8 |

-- | oneb_uint8 | GrB_ONEB_UINT8 |

-- | first_uint16 | GrB_FIRST_UINT16 |

-- | second_uint16 | GrB_SECOND_UINT16 |

-- | oneb_uint16 | GrB_ONEB_UINT16 |

-- | first_uint32 | GrB_FIRST_UINT32 |

-- | second_uint32 | GrB_SECOND_UINT32 |

-- | oneb_uint32 | GrB_ONEB_UINT32 |

-- | first_uint64 | GrB_FIRST_UINT64 |

-- | second_uint64 | GrB_SECOND_UINT64 |

-- | oneb_uint64 | GrB_ONEB_UINT64 |

-- | first_fp32 | GrB_FIRST_FP32 |

-- | second_fp32 | GrB_SECOND_FP32 |

-- | oneb_fp32 | GrB_ONEB_FP32 |

-- | first_fp64 | GrB_FIRST_FP64 |

-- | second_fp64 | GrB_SECOND_FP64 |

-- | oneb_fp64 | GrB_ONEB_FP64 |

-- | first_fc32 | GxB_FIRST_FC32 |

-- | second_fc32 | GxB_SECOND_FC32 |

-- | oneb_fc32 | GxB_ONEB_FC32 |

-- | first_fc64 | GxB_FIRST_FC64 |

-- | second_fc64 | GxB_SECOND_FC64 |

-- | oneb_fc64 | GxB_ONEB_FC64 |

-- | pow_bool | GxB_POW_BOOL |

-- | pow_int8 | GxB_POW_INT8 |

-- | pow_int16 | GxB_POW_INT16 |

-- | pow_int32 | GxB_POW_INT32 |

-- | pow_int64 | GxB_POW_INT64 |

-- | pow_uint8 | GxB_POW_UINT8 |

-- | pow_uint16 | GxB_POW_UINT16 |

-- | pow_uint32 | GxB_POW_UINT32 |

-- | pow_uint64 | GxB_POW_UINT64 |

-- | pow_fp32 | GxB_POW_FP32 |

-- | pow_fp64 | GxB_POW_FP64 |

-- | pow_fc32 | GxB_POW_FC32 |

-- | pow_fc64 | GxB_POW_FC64 |

-- | plus_bool | GrB_PLUS_BOOL |

-- | minus_bool | GrB_MINUS_BOOL |

-- | times_bool | GrB_TIMES_BOOL |

-- | div_bool | GrB_DIV_BOOL |

-- | plus_int8 | GrB_PLUS_INT8 |

-- | minus_int8 | GrB_MINUS_INT8 |

-- | times_int8 | GrB_TIMES_INT8 |

-- | div_int8 | GrB_DIV_INT8 |

-- | plus_int16 | GrB_PLUS_INT16 |

-- | minus_int16 | GrB_MINUS_INT16 |

-- | times_int16 | GrB_TIMES_INT16 |

-- | div_int16 | GrB_DIV_INT16 |

-- | plus_int32 | GrB_PLUS_INT32 |

-- | minus_int32 | GrB_MINUS_INT32 |

-- | times_int32 | GrB_TIMES_INT32 |

-- | div_int32 | GrB_DIV_INT32 |

-- | plus_int64 | GrB_PLUS_INT64 |

-- | minus_int64 | GrB_MINUS_INT64 |

-- | times_int64 | GrB_TIMES_INT64 |

-- | div_int64 | GrB_DIV_INT64 |

-- | plus_uint8 | GrB_PLUS_UINT8 |

-- | minus_uint8 | GrB_MINUS_UINT8 |

-- | times_uint8 | GrB_TIMES_UINT8 |

-- | div_uint8 | GrB_DIV_UINT8 |

-- | plus_uint16 | GrB_PLUS_UINT16 |

-- | minus_uint16 | GrB_MINUS_UINT16 |

-- | times_uint16 | GrB_TIMES_UINT16 |

-- | div_uint16 | GrB_DIV_UINT16 |

-- | plus_uint32 | GrB_PLUS_UINT32 |

-- | minus_uint32 | GrB_MINUS_UINT32 |

-- | times_uint32 | GrB_TIMES_UINT32 |

-- | div_uint32 | GrB_DIV_UINT32 |

-- | plus_uint64 | GrB_PLUS_UINT64 |

-- | minus_uint64 | GrB_MINUS_UINT64 |

-- | times_uint64 | GrB_TIMES_UINT64 |

-- | div_uint64 | GrB_DIV_UINT64 |

-- | plus_fp32 | GrB_PLUS_FP32 |

-- | minus_fp32 | GrB_MINUS_FP32 |

-- | times_fp32 | GrB_TIMES_FP32 |

-- | div_fp32 | GrB_DIV_FP32 |

-- | plus_fp64 | GrB_PLUS_FP64 |

-- | minus_fp64 | GrB_MINUS_FP64 |

-- | times_fp64 | GrB_TIMES_FP64 |

-- | div_fp64 | GrB_DIV_FP64 |

-- | plus_fc32 | GxB_PLUS_FC32 |

-- | minus_fc32 | GxB_MINUS_FC32 |

-- | times_fc32 | GxB_TIMES_FC32 |

-- | div_fc32 | GxB_DIV_FC32 |

-- | plus_fc64 | GxB_PLUS_FC64 |

-- | minus_fc64 | GxB_MINUS_FC64 |

-- | times_fc64 | GxB_TIMES_FC64 |

-- | div_fc64 | GxB_DIV_FC64 |

-- | rminus_bool | GxB_RMINUS_BOOL |

-- | rdiv_bool | GxB_RDIV_BOOL |

-- | pair_bool | GxB_PAIR_BOOL |

-- | any_bool | GxB_ANY_BOOL |

-- | rminus_int8 | GxB_RMINUS_INT8 |

-- | rdiv_int8 | GxB_RDIV_INT8 |

-- | pair_int8 | GxB_PAIR_INT8 |

-- | any_int8 | GxB_ANY_INT8 |

-- | rminus_int16 | GxB_RMINUS_INT16 |

-- | rdiv_int16 | GxB_RDIV_INT16 |

-- | pair_int16 | GxB_PAIR_INT16 |

-- | any_int16 | GxB_ANY_INT16 |

-- | rminus_int32 | GxB_RMINUS_INT32 |

-- | rdiv_int32 | GxB_RDIV_INT32 |

-- | pair_int32 | GxB_PAIR_INT32 |

-- | any_int32 | GxB_ANY_INT32 |

-- | rminus_int64 | GxB_RMINUS_INT64 |

-- | rdiv_int64 | GxB_RDIV_INT64 |

-- | pair_int64 | GxB_PAIR_INT64 |

-- | any_int64 | GxB_ANY_INT64 |

-- | rminus_uint8 | GxB_RMINUS_UINT8 |

-- | rdiv_uint8 | GxB_RDIV_UINT8 |

-- | pair_uint8 | GxB_PAIR_UINT8 |

-- | any_uint8 | GxB_ANY_UINT8 |

-- | rminus_uint16 | GxB_RMINUS_UINT16 |

-- | rdiv_uint16 | GxB_RDIV_UINT16 |

-- | pair_uint16 | GxB_PAIR_UINT16 |

-- | any_uint16 | GxB_ANY_UINT16 |

-- | rminus_uint32 | GxB_RMINUS_UINT32 |

-- | rdiv_uint32 | GxB_RDIV_UINT32 |

-- | pair_uint32 | GxB_PAIR_UINT32 |

-- | any_uint32 | GxB_ANY_UINT32 |

-- | rminus_uint64 | GxB_RMINUS_UINT64 |

-- | rdiv_uint64 | GxB_RDIV_UINT64 |

-- | pair_uint64 | GxB_PAIR_UINT64 |

-- | any_uint64 | GxB_ANY_UINT64 |

-- | rminus_fp32 | GxB_RMINUS_FP32 |

-- | rdiv_fp32 | GxB_RDIV_FP32 |

-- | pair_fp32 | GxB_PAIR_FP32 |

-- | any_fp32 | GxB_ANY_FP32 |

-- | rminus_fp64 | GxB_RMINUS_FP64 |

-- | rdiv_fp64 | GxB_RDIV_FP64 |

-- | pair_fp64 | GxB_PAIR_FP64 |

-- | any_fp64 | GxB_ANY_FP64 |

-- | rminus_fc32 | GxB_RMINUS_FC32 |

-- | rdiv_fc32 | GxB_RDIV_FC32 |

-- | pair_fc32 | GxB_PAIR_FC32 |

-- | any_fc32 | GxB_ANY_FC32 |

-- | rminus_fc64 | GxB_RMINUS_FC64 |

-- | rdiv_fc64 | GxB_RDIV_FC64 |

-- | pair_fc64 | GxB_PAIR_FC64 |

-- | any_fc64 | GxB_ANY_FC64 |

-- | iseq_bool | GxB_ISEQ_BOOL |

-- | isne_bool | GxB_ISNE_BOOL |

-- | iseq_int8 | GxB_ISEQ_INT8 |

-- | isne_int8 | GxB_ISNE_INT8 |

-- | iseq_int16 | GxB_ISEQ_INT16 |

-- | isne_int16 | GxB_ISNE_INT16 |

-- | iseq_int32 | GxB_ISEQ_INT32 |

-- | isne_int32 | GxB_ISNE_INT32 |

-- | iseq_int64 | GxB_ISEQ_INT64 |

-- | isne_int64 | GxB_ISNE_INT64 |

-- | iseq_uint8 | GxB_ISEQ_UINT8 |

-- | isne_uint8 | GxB_ISNE_UINT8 |

-- | iseq_uint16 | GxB_ISEQ_UINT16 |

-- | isne_uint16 | GxB_ISNE_UINT16 |

-- | iseq_uint32 | GxB_ISEQ_UINT32 |

-- | isne_uint32 | GxB_ISNE_UINT32 |

-- | iseq_uint64 | GxB_ISEQ_UINT64 |

-- | isne_uint64 | GxB_ISNE_UINT64 |

-- | iseq_fp32 | GxB_ISEQ_FP32 |

-- | isne_fp32 | GxB_ISNE_FP32 |

-- | iseq_fp64 | GxB_ISEQ_FP64 |

-- | isne_fp64 | GxB_ISNE_FP64 |

-- | iseq_fc32 | GxB_ISEQ_FC32 |

-- | isne_fc32 | GxB_ISNE_FC32 |

-- | iseq_fc64 | GxB_ISEQ_FC64 |

-- | isne_fc64 | GxB_ISNE_FC64 |

-- | isgt_bool | GxB_ISGT_BOOL |

-- | islt_bool | GxB_ISLT_BOOL |

-- | isge_bool | GxB_ISGE_BOOL |

-- | isle_bool | GxB_ISLE_BOOL |

-- | isgt_int8 | GxB_ISGT_INT8 |

-- | islt_int8 | GxB_ISLT_INT8 |

-- | isge_int8 | GxB_ISGE_INT8 |

-- | isle_int8 | GxB_ISLE_INT8 |

-- | isgt_int16 | GxB_ISGT_INT16 |

-- | islt_int16 | GxB_ISLT_INT16 |

-- | isge_int16 | GxB_ISGE_INT16 |

-- | isle_int16 | GxB_ISLE_INT16 |

-- | isgt_int32 | GxB_ISGT_INT32 |

-- | islt_int32 | GxB_ISLT_INT32 |

-- | isge_int32 | GxB_ISGE_INT32 |

-- | isle_int32 | GxB_ISLE_INT32 |

-- | isgt_int64 | GxB_ISGT_INT64 |

-- | islt_int64 | GxB_ISLT_INT64 |

-- | isge_int64 | GxB_ISGE_INT64 |

-- | isle_int64 | GxB_ISLE_INT64 |

-- | isgt_uint8 | GxB_ISGT_UINT8 |

-- | islt_uint8 | GxB_ISLT_UINT8 |

-- | isge_uint8 | GxB_ISGE_UINT8 |

-- | isle_uint8 | GxB_ISLE_UINT8 |

-- | isgt_uint16 | GxB_ISGT_UINT16 |

-- | islt_uint16 | GxB_ISLT_UINT16 |

-- | isge_uint16 | GxB_ISGE_UINT16 |

-- | isle_uint16 | GxB_ISLE_UINT16 |

-- | isgt_uint32 | GxB_ISGT_UINT32 |

-- | islt_uint32 | GxB_ISLT_UINT32 |

-- | isge_uint32 | GxB_ISGE_UINT32 |

-- | isle_uint32 | GxB_ISLE_UINT32 |

-- | isgt_uint64 | GxB_ISGT_UINT64 |

-- | islt_uint64 | GxB_ISLT_UINT64 |

-- | isge_uint64 | GxB_ISGE_UINT64 |

-- | isle_uint64 | GxB_ISLE_UINT64 |

-- | isgt_fp32 | GxB_ISGT_FP32 |

-- | islt_fp32 | GxB_ISLT_FP32 |

-- | isge_fp32 | GxB_ISGE_FP32 |

-- | isle_fp32 | GxB_ISLE_FP32 |

-- | isgt_fp64 | GxB_ISGT_FP64 |

-- | islt_fp64 | GxB_ISLT_FP64 |

-- | isge_fp64 | GxB_ISGE_FP64 |

-- | isle_fp64 | GxB_ISLE_FP64 |

-- | min_bool | GrB_MIN_BOOL |

-- | max_bool | GrB_MAX_BOOL |

-- | min_int8 | GrB_MIN_INT8 |

-- | max_int8 | GrB_MAX_INT8 |

-- | min_int16 | GrB_MIN_INT16 |

-- | max_int16 | GrB_MAX_INT16 |

-- | min_int32 | GrB_MIN_INT32 |

-- | max_int32 | GrB_MAX_INT32 |

-- | min_int64 | GrB_MIN_INT64 |

-- | max_int64 | GrB_MAX_INT64 |

-- | min_uint8 | GrB_MIN_UINT8 |

-- | max_uint8 | GrB_MAX_UINT8 |

-- | min_uint16 | GrB_MIN_UINT16 |

-- | max_uint16 | GrB_MAX_UINT16 |

-- | min_uint32 | GrB_MIN_UINT32 |

-- | max_uint32 | GrB_MAX_UINT32 |

-- | min_uint64 | GrB_MIN_UINT64 |

-- | max_uint64 | GrB_MAX_UINT64 |

-- | min_fp32 | GrB_MIN_FP32 |

-- | max_fp32 | GrB_MAX_FP32 |

-- | min_fp64 | GrB_MIN_FP64 |

-- | max_fp64 | GrB_MAX_FP64 |

-- | lor_bool | GxB_LOR_BOOL |

-- | land_bool | GxB_LAND_BOOL |

-- | lxor_bool | GxB_LXOR_BOOL |

-- | lor_int8 | GxB_LOR_INT8 |

-- | land_int8 | GxB_LAND_INT8 |

-- | lxor_int8 | GxB_LXOR_INT8 |

-- | lor_int16 | GxB_LOR_INT16 |

-- | land_int16 | GxB_LAND_INT16 |

-- | lxor_int16 | GxB_LXOR_INT16 |

-- | lor_int32 | GxB_LOR_INT32 |

-- | land_int32 | GxB_LAND_INT32 |

-- | lxor_int32 | GxB_LXOR_INT32 |

-- | lor_int64 | GxB_LOR_INT64 |

-- | land_int64 | GxB_LAND_INT64 |

-- | lxor_int64 | GxB_LXOR_INT64 |

-- | lor_uint8 | GxB_LOR_UINT8 |

-- | land_uint8 | GxB_LAND_UINT8 |

-- | lxor_uint8 | GxB_LXOR_UINT8 |

-- | lor_uint16 | GxB_LOR_UINT16 |

-- | land_uint16 | GxB_LAND_UINT16 |

-- | lxor_uint16 | GxB_LXOR_UINT16 |

-- | lor_uint32 | GxB_LOR_UINT32 |

-- | land_uint32 | GxB_LAND_UINT32 |

-- | lxor_uint32 | GxB_LXOR_UINT32 |

-- | lor_uint64 | GxB_LOR_UINT64 |

-- | land_uint64 | GxB_LAND_UINT64 |

-- | lxor_uint64 | GxB_LXOR_UINT64 |

-- | lor_fp32 | GxB_LOR_FP32 |

-- | land_fp32 | GxB_LAND_FP32 |

-- | lxor_fp32 | GxB_LXOR_FP32 |

-- | lor_fp64 | GxB_LOR_FP64 |

-- | land_fp64 | GxB_LAND_FP64 |

-- | lxor_fp64 | GxB_LXOR_FP64 |

-- | lor | GrB_LOR |

-- | land | GrB_LAND |

-- | lxor | GrB_LXOR |

-- | lxnor | GrB_LXNOR |

-- | atan2_fp32 | GxB_ATAN2_FP32 |

-- | hypot_fp32 | GxB_HYPOT_FP32 |

-- | fmod_fp32 | GxB_FMOD_FP32 |

-- | remainder_fp32 | GxB_REMAINDER_FP32 |

-- | atan2_fp64 | GxB_ATAN2_FP64 |

-- | hypot_fp64 | GxB_HYPOT_FP64 |

-- | fmod_fp64 | GxB_FMOD_FP64 |

-- | remainder_fp64 | GxB_REMAINDER_FP64 |

-- | ldexp_fp32 | GxB_LDEXP_FP32 |

-- | copysign_fp32 | GxB_COPYSIGN_FP32 |

-- | ldexp_fp64 | GxB_LDEXP_FP64 |

-- | copysign_fp64 | GxB_COPYSIGN_FP64 |

-- | bget_int8 | GxB_BGET_INT8 |

-- | bset_int8 | GxB_BSET_INT8 |

-- | bclr_int8 | GxB_BCLR_INT8 |

-- | bget_int16 | GxB_BGET_INT16 |

-- | bset_int16 | GxB_BSET_INT16 |

-- | bclr_int16 | GxB_BCLR_INT16 |

-- | bget_int32 | GxB_BGET_INT32 |

-- | bset_int32 | GxB_BSET_INT32 |

-- | bclr_int32 | GxB_BCLR_INT32 |

-- | bget_int64 | GxB_BGET_INT64 |

-- | bset_int64 | GxB_BSET_INT64 |

-- | bclr_int64 | GxB_BCLR_INT64 |

-- | bget_uint8 | GxB_BGET_UINT8 |

-- | bset_uint8 | GxB_BSET_UINT8 |

-- | bclr_uint8 | GxB_BCLR_UINT8 |

-- | bget_uint16 | GxB_BGET_UINT16 |

-- | bset_uint16 | GxB_BSET_UINT16 |

-- | bclr_uint16 | GxB_BCLR_UINT16 |

-- | bget_uint32 | GxB_BGET_UINT32 |

-- | bset_uint32 | GxB_BSET_UINT32 |

-- | bclr_uint32 | GxB_BCLR_UINT32 |

-- | bget_uint64 | GxB_BGET_UINT64 |

-- | bset_uint64 | GxB_BSET_UINT64 |

-- | bclr_uint64 | GxB_BCLR_UINT64 |

-- | bor_int8 | GrB_BOR_INT8 |

-- | band_int8 | GrB_BAND_INT8 |

-- | bxor_int8 | GrB_BXOR_INT8 |

-- | bxnor_int8 | GrB_BXNOR_INT8 |

-- | bor_int16 | GrB_BOR_INT16 |

-- | band_int16 | GrB_BAND_INT16 |

-- | bxor_int16 | GrB_BXOR_INT16 |

-- | bxnor_int16 | GrB_BXNOR_INT16 |

-- | bor_int32 | GrB_BOR_INT32 |

-- | band_int32 | GrB_BAND_INT32 |

-- | bxor_int32 | GrB_BXOR_INT32 |

-- | bxnor_int32 | GrB_BXNOR_INT32 |

-- | bor_int64 | GrB_BOR_INT64 |

-- | band_int64 | GrB_BAND_INT64 |

-- | bxor_int64 | GrB_BXOR_INT64 |

-- | bxnor_int64 | GrB_BXNOR_INT64 |

-- | bor_uint8 | GrB_BOR_UINT8 |

-- | band_uint8 | GrB_BAND_UINT8 |

-- | bxor_uint8 | GrB_BXOR_UINT8 |

-- | bxnor_uint8 | GrB_BXNOR_UINT8 |

-- | bor_uint16 | GrB_BOR_UINT16 |

-- | band_uint16 | GrB_BAND_UINT16 |

-- | bxor_uint16 | GrB_BXOR_UINT16 |

-- | bxnor_uint16 | GrB_BXNOR_UINT16 |

-- | bor_uint32 | GrB_BOR_UINT32 |

-- | band_uint32 | GrB_BAND_UINT32 |

-- | bxor_uint32 | GrB_BXOR_UINT32 |

-- | bxnor_uint32 | GrB_BXNOR_UINT32 |

-- | bor_uint64 | GrB_BOR_UINT64 |

-- | band_uint64 | GrB_BAND_UINT64 |

-- | bxor_uint64 | GrB_BXOR_UINT64 |

-- | bxnor_uint64 | GrB_BXNOR_UINT64 |

-- | bshift_int8 | GxB_BSHIFT_INT8 |

-- | bshift_int16 | GxB_BSHIFT_INT16 |

-- | bshift_int32 | GxB_BSHIFT_INT32 |

-- | bshift_int64 | GxB_BSHIFT_INT64 |

-- | bshift_uint8 | GxB_BSHIFT_UINT8 |

-- | bshift_uint16 | GxB_BSHIFT_UINT16 |

-- | bshift_uint32 | GxB_BSHIFT_UINT32 |

-- | bshift_uint64 | GxB_BSHIFT_UINT64 |

-- | eq_bool | GrB_EQ_BOOL |

-- | ne_bool | GrB_NE_BOOL |

-- | gt_bool | GrB_GT_BOOL |

-- | lt_bool | GrB_LT_BOOL |

-- | eq_int8 | GrB_EQ_INT8 |

-- | ne_int8 | GrB_NE_INT8 |

-- | gt_int8 | GrB_GT_INT8 |

-- | lt_int8 | GrB_LT_INT8 |

-- | eq_int16 | GrB_EQ_INT16 |

-- | ne_int16 | GrB_NE_INT16 |

-- | gt_int16 | GrB_GT_INT16 |

-- | lt_int16 | GrB_LT_INT16 |

-- | eq_int32 | GrB_EQ_INT32 |

-- | ne_int32 | GrB_NE_INT32 |

-- | gt_int32 | GrB_GT_INT32 |

-- | lt_int32 | GrB_LT_INT32 |

-- | eq_int64 | GrB_EQ_INT64 |

-- | ne_int64 | GrB_NE_INT64 |

-- | gt_int64 | GrB_GT_INT64 |

-- | lt_int64 | GrB_LT_INT64 |

-- | eq_uint8 | GrB_EQ_UINT8 |

-- | ne_uint8 | GrB_NE_UINT8 |

-- | gt_uint8 | GrB_GT_UINT8 |

-- | lt_uint8 | GrB_LT_UINT8 |

-- | eq_uint16 | GrB_EQ_UINT16 |

-- | ne_uint16 | GrB_NE_UINT16 |

-- | gt_uint16 | GrB_GT_UINT16 |

-- | lt_uint16 | GrB_LT_UINT16 |

-- | eq_uint32 | GrB_EQ_UINT32 |

-- | ne_uint32 | GrB_NE_UINT32 |

-- | gt_uint32 | GrB_GT_UINT32 |

-- | lt_uint32 | GrB_LT_UINT32 |

-- | eq_uint64 | GrB_EQ_UINT64 |

-- | ne_uint64 | GrB_NE_UINT64 |

-- | gt_uint64 | GrB_GT_UINT64 |

-- | lt_uint64 | GrB_LT_UINT64 |

-- | eq_fp32 | GrB_EQ_FP32 |

-- | ne_fp32 | GrB_NE_FP32 |

-- | gt_fp32 | GrB_GT_FP32 |

-- | lt_fp32 | GrB_LT_FP32 |

-- | eq_fp64 | GrB_EQ_FP64 |

-- | ne_fp64 | GrB_NE_FP64 |

-- | gt_fp64 | GrB_GT_FP64 |

-- | lt_fp64 | GrB_LT_FP64 |

-- | eq_fc32 | GxB_EQ_FC32 |

-- | ne_fc32 | GxB_NE_FC32 |

-- | eq_fc64 | GxB_EQ_FC64 |

-- | ne_fc64 | GxB_NE_FC64 |

-- | ge_bool | GrB_GE_BOOL |

-- | le_bool | GrB_LE_BOOL |

-- | ge_int8 | GrB_GE_INT8 |

-- | le_int8 | GrB_LE_INT8 |

-- | ge_int16 | GrB_GE_INT16 |

-- | le_int16 | GrB_LE_INT16 |

-- | ge_int32 | GrB_GE_INT32 |

-- | le_int32 | GrB_LE_INT32 |

-- | ge_int64 | GrB_GE_INT64 |

-- | le_int64 | GrB_LE_INT64 |

-- | ge_uint8 | GrB_GE_UINT8 |

-- | le_uint8 | GrB_LE_UINT8 |

-- | ge_uint16 | GrB_GE_UINT16 |

-- | le_uint16 | GrB_LE_UINT16 |

-- | ge_uint32 | GrB_GE_UINT32 |

-- | le_uint32 | GrB_LE_UINT32 |

-- | ge_uint64 | GrB_GE_UINT64 |

-- | le_uint64 | GrB_LE_UINT64 |

-- | ge_fp32 | GrB_GE_FP32 |

-- | le_fp32 | GrB_LE_FP32 |

-- | ge_fp64 | GrB_GE_FP64 |

-- | le_fp64 | GrB_LE_FP64 |

-- | cmplx_fp32 | GxB_CMPLX_FP32 |

-- | cmplx_fp64 | GxB_CMPLX_FP64 |

-- | firsti_int32 | GxB_FIRSTI_INT32 |

-- | firsti_int64 | GxB_FIRSTI_INT64 |

-- | firsti1_int32 | GxB_FIRSTI1_INT32 |

-- | firsti1_int64 | GxB_FIRSTI1_INT64 |

-- | firstj_int32 | GxB_FIRSTJ_INT32 |

-- | firstj_int64 | GxB_FIRSTJ_INT64 |

-- | firstj1_int32 | GxB_FIRSTJ1_INT32 |

-- | firstj1_int64 | GxB_FIRSTJ1_INT64 |

-- | secondi_int32 | GxB_SECONDI_INT32 |

-- | secondi_int64 | GxB_SECONDI_INT64 |

-- | secondi1_int32 | GxB_SECONDI1_INT32 |

-- | secondi1_int64 | GxB_SECONDI1_INT64 |

-- | secondj_int32 | GxB_SECONDJ_INT32 |

-- | secondj_int64 | GxB_SECONDJ_INT64 |

-- | secondj1_int32 | GxB_SECONDJ1_INT32 |

-- | secondj1_int64 | GxB_SECONDJ1_INT64 |

-- | ignore_dup | GxB_IGNORE_DUP |