BinaryOp
In mathematics, a binary operation or dyadic operation is a rule for combining two elements (called operands) to produce another element. More formally, a binary operation is an operation of 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:
show onesparse.jit_control; -- This must be set to 'on' in postgres config.
┌───────────────────────┐
│ onesparse.jit_control │
├───────────────────────┤
│ on │
└───────────────────────┘
(1 row)
Insert the expected function types and function body into the table. Here is an example function that computes the 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',
$$
void binary_hamming_dist (int64_t *z, int64_t *x, int64_t *y) {
(*z) = __builtin_popcountll((*x)^(*y));
};
$$);
binaryop
operators like eadd:
select eadd(random_vector('int64', 16, 'inf', 42),
random_vector('int64', 16, 'inf', 43),
'binary_hamming_dist');
┌──────────────────────────────────────────────────────────────────────────────────────────────────┐
│ eadd │
├──────────────────────────────────────────────────────────────────────────────────────────────────┤
│ int64(16)[0:32 1:31 2:31 3:30 4:36 5:37 6:30 7:35 8:35 9:27 10:33 11:28 12:32 13:37 14:36 15:32] │
└──────────────────────────────────────────────────────────────────────────────────────────────────┘
(1 row)
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 |